Equation

Problem 11001

Find the real values of $x$ for which the following are true: a. $\sqrt{x}=7$ , b. $\sqrt{x}=-7$ , c. $\sqrt{-x}=7$ , d. $\sqrt{-x}=-7$ , e. $\sqrt{x}>0$ , f. $\sqrt{x}<0$ . Choose the correct answer: A. $x=$ , B. $\{x \mid x<\square\}$ , C. $\{x \mid x>\square\}$ , D. No real solution.

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Problem 11002

Calculate the following volumes: 1) $7.57 \mathrm{~mL} + 11.7 \mathrm{~mL} = \square \mathrm{mL}$ 2) $19.5 \mathrm{~mL} + 9.977 \mathrm{~mL} = \square \mathrm{mL}$ 3) $17.500 \mathrm{~mL} - 9.8 \mathrm{~mL} = \square \mathrm{mL}$

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Problem 11003

Find the real values of $x$ for the following: a. $\sqrt{x}=6$ , b. $\sqrt{x}=-6$ , c. $\sqrt{-x}=6$ , d. $\sqrt{-x}=-6$ , e. $\sqrt{x}>0$ , f. $\sqrt{x}<0$ .

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Problem 11004

Calculate: 20.94 g/mL × 33 mL = ? g and 496.3 m ÷ 0.90 s = ? m/s.

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Problem 11005

Convert 5.0 miles/hour to meters/second. Show your work and express your answer as a decimal number. (6 pts)

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Problem 11006

Janet's baby weighs 15.0 lbs. How much Amoxicillin (in mg) is needed daily at 30.0 mg/kg? Show all calculations.

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Problem 11007

Janet's baby weighs $15.0 \, \text{lbs}$ . How many mL of Amoxicillin (200 mg/5 mL) per dose (twice daily) for $30 \, \text{mg/kg}$ ?

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Problem 11008

Janet needs an IV medication at $2.0 \mu \mathrm{g} / \mathrm{kg} / \mathrm{min}$ . She weighs $115 \mathrm{lbs}$ . How many $\mathrm{mL} / \mathrm{hr}$ will you give her?

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Problem 11009

Janet can eat how much Trail Mix (g snack/day) if FDA limits sodium to $2.40 \mathrm{~g}$ and salt has $39.33 \mathrm{~g}$ sodium/100g?

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Problem 11010

Calculate the IV rate in mL/hr for Janet (115 lbs) if the dose is $2.0 \mu \mathrm{g} / \mathrm{kg/min}$ and the bag is $250 \mathrm{mg} / 250 \mathrm{mL}$ .

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Problem 11011

Divide and multiply these measurements, ensuring correct significant digits:
173.39 mol ÷ 0.61 L = \square mol/L 7.8084 mol/L × 2.3 L = \square mol 714.4 m ÷ 39.05 s = \square m/s

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Problem 11012

Solve for $x$ in the equation $\frac{x}{x+3}=\frac{5}{4}$ .

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Problem 11013

Solve the equation: $\frac{x}{5}-4=\frac{x}{4}-6$ .

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Problem 11014

Solve the equation: $\frac{4}{x-4}=\frac{-4}{x+3}+\frac{12}{(x-4)(x+3)}$

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Problem 11015

Solve for $x$ in the equation $\frac{3}{x}+3=\frac{3}{5 x}+\frac{31}{10}$ .

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Problem 11016

Find the equation of the line passing through the point $(-4,5)$ with a slope of $m=\frac{1}{2}$ .

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Problem 11017

Convert $2x + 5y = 12$ to slope-intercept form, $y = mx + b$ .

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Problem 11018

Find the value of $X$ in a quadrilateral with angles $N=73^{\circ}$ , $M=47^{\circ}$ , $P=113^{\circ}$ .

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Problem 11019

In a right triangle, the opposite side is 8 and the hypotenuse is 16. Find the adjacent side and the six trigonometric functions of angle $\theta$ .

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Problem 11020

Find the coordinates of point $B$ if the midpoint $M(-2,-4)$ and point $A(-8,-5)$ are given.

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Problem 11021

Find the coordinates of point $B$ if the midpoint $M(3,-2)$ and point $A(7,3)$ are given.

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Problem 11022

Find the coordinates of point $B$ if the midpoint $M(1,-7)$ and point $A(-2,-6)$ are given.

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Problem 11023

Find the coordinates of point $B$ if the midpoint $M(-4,2)$ and point $A(-7,3)$ are given.

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Problem 11024

Check if the point $(1,2)$ is on the line defined by the equation $y=3x-2$ .

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Problem 11025

Find the range of values of $p$ such that both $3x^{2}+2px+3=0$ and $x^{2}+4x-p=0$ have real roots.

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Problem 11026

Find the coordinates that divide the line segment from $(-8,6)$ to $(-3,-4)$ in a 2:3 ratio.

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Problem 11027

Find the equations of lines through $(-2,3)$ : one parallel to $y=-2x+4$ and one perpendicular to it.

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Problem 11028

Find the distance between the points (6,9) and (-3,7) in simplest radical form: $d = \sqrt{(6 - (-3))^2 + (9 - 7)^2}$

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Problem 11029

Find the values of $x$ and $y$ that satisfy the equation $2x + 3y = 12$ for the point $(3,1)$ .

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Problem 11030

Find the slope of the line given by the equation $2x + 3y = 12$ .

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Problem 11031

Solve $(x+1)(x-2)=3$ and express your answers in surd form.

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Problem 11032

Find the coordinates of the point $(x,y)$ that satisfies the equation $3x - 5y = 15$ at the point $(6,1)$ .

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Problem 11033

Find the roots of $2 x = -5 + 3 x^{2}$ and the values of $c$ for which $3 x^{2} + 5 x + c > 0$ .

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Problem 11034

Bob bought a house for \ $42,000, now worth \$67,500. Find$ m $and$ b $in$ V=m t+b $for$ 0 \leq t \leq 15$.

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Problem 11035

How long until two joggers meet again if one takes 21 min and the other 45 min to complete a lap? Answer in minutes.

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Problem 11036

Bob bought a house for \$ 42,000. Now it's worth \$ 67,500.
(a) Find $m$ and $b$ in $V=m t+b$ for $0 \leq t \leq 15$ . (b) Estimate when the house will be worth \$ 72,500.

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Problem 11037

Find the horizontal distance the jet flies to reach $12,000$ ft altitude with a slope of $m=3/8$ .

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Problem 11038

How much should Mary Ellen invest at $5\%$ to earn \$1185 in interest in one year?

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Problem 11039

Calculate the product of 3.15, 2.5, and 4.00 with the correct significant figures: $3.15 \times 2.5 \times 4.00 =$

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Problem 11040

Find the result of $313.0 - (1.2 \times 10^{3})$ with the correct significant figures.

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Problem 11041

Calculate the interest earned by Anjana's simple interest and Darin's compound interest on \ $3000 at$ 4.9\%$ over 5 years.

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Problem 11042

Identify the correct half-equation for the oxidation of ethanol to ethanoic acid from the options provided.

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Problem 11043

Rewrite the equation $x^{2}-14 x-1$ as $(x+ a)^2 + b$ with integers $a$ and $b$ .

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Problem 11044

Find the roots of $x^{2}-24x+5$ by rewriting it as $(x+a)^2=b$ with integers $a$ and $b$ .

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Problem 11045

Calculate $1000 + (140 + 160)$ .

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Problem 11046

Rewrite the equation $x^{2}-24 x+5$ as $(x+a)^2 + b$ by completing the square, with $a$ and $b$ as integers.

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Problem 11047

Barret ran 8 laps on a circular track with a radius of 0.75 miles. How far did he run? Use $C = 2\pi r$ to find the distance.

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Problem 11048

Find the smaller number if the difference between two numbers is 8 and $3 \times \text{smaller} = \text{greater} + 26$ .

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Problem 11049

Find the smallest of three consecutive odd numbers that add up to 51. Options: (a) 15 (b) 20 (c) 23 (d) 19 (e) None.

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Problem 11050

Find the greatest of three consecutive even numbers that add up to 60. Options: (a) 20 (b) 19 (c) 22 (d) 24 (e) None.

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Problem 11051

Let the son's age be $x$ . Then, father's age is $2x$ . Twenty-five years ago, $2x - 25 = 27(x - 25)$ . Find $x$ .

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Problem 11052

What was the original price of a book that Kyle bought for \$ 19.50 after a 25% discount?

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Problem 11053

Find the ratio of the area of a room on a floor plan (scale $1: 200$ ) to its actual area.

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Problem 11054

A coin rolls down a $62.8 \mathrm{~cm}$ slope, rotating 10 times. Find the radius of the coin. A. $1 \mathrm{~cm}$ B. $\sqrt{2} \mathrm{~cm}$ C. $0.2 \mathrm{~cm}$ D. $10 \mathrm{~cm}$

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Problem 11055

Kala has two coupons for an \$83 chair. Coupon A: 35% off, Coupon B: \$33 rebate. Which coupon gives a lower price? Fill in the blank: The price with coupon A is \$\square less than B or the price with coupon B is \$\square less than A.

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Problem 11056

Hans has two coupons for a \$57 phone: A: \$8 off, B: 20% off. Which coupon gives a lower price? Fill in the blank: \$\square less.

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Problem 11057

An athlete releases a shot put at $65^{\circ}$ . Its height is modeled by $f(x)=-0.03 x^{2}+2.1 x+6.1$ . Find the max height and distance from release.

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Problem 11058

Find a two-digit number where the unit's digit is 1 more than the ten's digit and equals 4 times the sum of its digits. Choices: (a) 14 (b) 15 (c) 12 (d) 17 (e) None.

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Problem 11059

Kendell's total expenses for 5 friends are \$1253.35 (Hotel) + \$131.10 (Gas) + \$645.25 (Food). What does each owe?

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Problem 11060

Four friends paid a total of \$50.24 for tickets. What is the cost per ticket for each friend?

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Problem 11061

Jason drove 435.75 miles over three months. If June was 127.35 and July was 167.98, find August's mileage: $?$

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Problem 11062

Which of these is NOT equal to $\frac{36}{54}$ ? A. $\frac{12}{18}$ B. $\frac{8}{12}$ C. $\frac{24}{30}$ D. $\frac{48}{72}$

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Problem 11063

Сколько молей оксида кальция в 112 г вещества? Найдите: $n(\mathrm{CaO})$ при $m(\mathrm{CaO})=112 \Gamma$ .

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Problem 11064

An athlete releases a shot modeled by $f(x)=-0.02 x^{2}+1.2 x+5.3$ . Find its max height and distance from release point.

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Problem 11065

1. Four friends paid a total of \$50.24 for tickets. How much did each friend pay?
2. Jason drove 435.75 miles over three months. If June was 127.35 and July was 167.98, how far did he drive in August?
3. Which of these is NOT equivalent to $\frac{36}{54}$ ? A. $\frac{12}{18}$ B. $\frac{8}{12}$ C. $\frac{24}{30}$ D. $\frac{48}{72}$
4. Which inequality is true? A. $\frac{3}{4}<\frac{5}{9}$ B. $\frac{17}{20}>\frac{4}{5}$ C. $\frac{5}{6}<\frac{11}{14}$ D. $\frac{7}{12}>\frac{16}{25}$

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Problem 11066

Find the two-digit number where the unit's digit is 6, and adding 18 swaps its digits. What is the number?

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Problem 11067

Find the max horizontal distance of a shot with max height 23.3 units at 30 feet, following $F(x)=-0.02x^2+1.2x+5.3$ .

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Problem 11068

An athlete releases a shot modeled by $f(x)=-0.01 x^{2}+0.7 x+5.4$ . Find the maximum height and its distance from release.

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Problem 11069

Find the area of a park on a map with a scale of $1: 500$ if the actual area is $8000 \mathrm{~m}^{2}$ .

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Problem 11070

A shot reaches a max height of 21.3 ft at 40 ft from release. Find its max horizontal distance using $F(x)=-0.01x^2+0.8x+5.3$ .

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Problem 11071

Solve the equation $-28=7+x$ . What is $x$ ? (A) $x=-\frac{1}{4}$ (B) $x=-4$ (C) $x=-21$ (D) $x=-35$

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Problem 11072

What property of equality solves $-15+x=18$ ? (A) Addition (B) Subtraction (C) Multiplication (D) Division

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Problem 11073

Solve the equation $-\frac{1}{3} x = 9$ . What is the value of $x$ ?

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Problem 11074

Aufgabe: Finde die Gleichung der Ebene $E_{1}$ in Normalenform für das Dreieck $B C S$ mit Punkten $B(3|3|7)$ , $C(-3|3|7)$ und $S(0|0|13)$ .

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Problem 11075

Find the limit: $271 \lim _{x \rightarrow+\infty} \frac{4 x-1}{2 x+1}$ . What is the result?

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Problem 11076

Find the limit as $x$ approaches infinity for $\frac{4x - 1}{2x + 1}$ .

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Problem 11077

You hike 4 miles east and 2 miles north, then return. How far do you hike? Also, calculate your friend's hike via the well.

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Problem 11078

A ball is thrown from 5 feet high with height $f(x)=-0.2 x^{2}+1.7 x+5$ . Find its max height and distance from release.

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Problem 11079

A ball is thrown from 8 feet high. Its height is modeled by $f(x)=-0.2 x^{2}+1.4 x+8$ . Find its max height and distance from release.

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Problem 11080

8) $\frac{1}{2} x+3=\frac{1}{4} x+5$

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Problem 11081

A GOLD RECTANGULAR SOLID HAS A DIMENSION OF 8 IN BY 6 IN. IT WEIGHS 250 POUNDS. WHAT IS THE PRESSURE THE SOLID EXERTS ON THE FLOOR BY THE SOLID? EXPRESS YOUR ANSWER IN PASCALS.

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Problem 11082

A soap film (index of refraction 1.33) is surrounded on both sides by air. When white light shines nearly perpendicularly on the film, you see bright interference colours of wavelength $=478 \mathrm{~nm}$ in the reflected light. What is the second smallest possible value for the thickness of the film?

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Problem 11083

(1 point) A population $P$ obeys the logistic model. It satisfies the equation $\frac{d P}{d t}=\frac{3}{1300} P(13-P)$ for $P>0$ . (a) The population is increasing when $\square$ $<P<$ $\square$ (b) The population is decreasing when $P>$ $\square$

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Problem 11084

(12) $\frac{1}{5} x+3=-\frac{1}{4} x+3$

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Problem 11085

9. A company is designiny a rectangular pool. The lengeth of the pool is 4 meters longer than twice the Width. If the area of the pool is 60 square meters, Find the lenyth and width of the pool.

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Problem 11086

$\frac{x}{2}-1=\frac{2}{3} x+5$

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Problem 11087

(Vous devriez vérifier vos réponses.) (5) $3 x+2(5 x-3)=20$

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Problem 11088

$-(x-2)=3(2 x+3)$

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Problem 11089

Surgical complications: A medical researcher wants to construct a $99 \%$ confidence interval for the proportion of knee replacement surgeries that result in complications.
Part: $0 / 2$
Part 1 of 2 (a) An article in a medical journal suggested that approximately $7 \%$ of such operations result in complications. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.03 ?
A sample of $\square$ operations is needed to obtain a $99 \%$ confidence interval with a margin of error of 0.03 using the estimate 0.07 for $p$

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Problem 11090

5. An architect wants to make a miniature model of this truck.
The scale will be 0.25 inch $=2$ feet. What will the height of the truck be in the model? $X=$ in

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Problem 11091

(11) $3(x-4)-(3 x-4)=6 x$

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Problem 11092

$\begin{array}{c} \text{In the given diagram, there is a quadrilateral } ABCD. \\ \text{The angles are given as follows: } \angle A = 65^\circ, \angle B = 55^\circ, \angle D = 115^\circ. \\ \text{The length of side } CD \text{ is } 10 \text{ cm.} \\ \text{Solve for } x \text{, where } \angle C = x. \end{array}$

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Problem 11093

If $e^{4 x}=17$ , then $x=$ $\square$ Question Help: video

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Problem 11094

The 76.2-kg Tarzan uses a 4.17-m vine to swing from a tree to rescue 53.4-kg Jane whose life is endangered by a poisonous snake. The vine starts horizontal when Tarzan begins his rescue. After rescuing Jane, the two continue to swing in a pendulum-like motion. To what maximum height will the two swing before losing all their kinetic energy?

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Problem 11095

$z(z+8)=-18$
The solution set is $\square$ $\}$

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Problem 11096

$(5 p+8)^{2}-3=0$
The solution set is $\square$ \}.

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Problem 11097

Determine the center and radius of the circle. $(x+2)^{2}+(y+1)^{2}=144$

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Problem 11098

Let $A$ and $k$ be positive constants. Which of the given functions is a solution to $\frac{d y}{d t}=-k(y+A)$ ?
Answer: $\square$
Select an option Incorrect $y=A+C e^{k t} \quad y=-A+C e^{-k t}$ $y=-A+C e^{k t}$ $\begin{array}{l} y=-A+C e^{k t} y=A^{-1}+C e^{-A k t} y=A+C e^{-k t} \\ y=A^{-1}+C e^{A k t} \end{array}$

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Problem 11099

1. What is the pH of a buffer solution prepared by adding 753 mL of 0.02 M CsOH to 229 mL of $0.329 \mathrm{M} \mathrm{HCO}{ }_{2} \mathrm{H}$ ?
Note: the $\mathrm{pK}_{\mathrm{a}}$ of $\mathrm{HCO}_{2} \mathrm{H}$ is 3.75 , you may assume the $5 \%$ approximation holds, and you may assume that the volumes are additive. INSTRUCTIONS: Input your answer to 2 decimal places in standard notation (example: 1.23 ) and DO NOT include the units. $\mathrm{pH}=$ $\square$ SubmitAnswer Tries 0/5

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Problem 11100

1. What is the pH of a buffer solution prepared by adding $2.12 \times 10^{3} \mathrm{~mL}$ of $0.028 \mathrm{M} \mathrm{Ca}(\mathrm{OH})_{2}$ to 242 mL of 0.819 M HF ?
Note: the $p K_{a}$ of HF is 3.20 , you may assume the $5 \%$ approximation holds, and you may assume that the volumes are additive. INSTRUCTIONS: Input your answer to 2 decimal places in standard notation (example: 1.23 ) and DO NOT include the units. $\mathrm{pH}=$ $\square$ Submit Answer Tries 0/5

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1 ...108 109 110 111 112 113 114 ...188

Equation

Problem 11001

Problem 11002

Problem 11003

Find the real values of xxx for the following: a. x=6\sqrt{x}=6x​=6, b. x=−6\sqrt{x}=-6x​=−6, c. −x=6\sqrt{-x}=6−x​=6, d. −x=−6\sqrt{-x}=-6−x​=−6, e. x>0\sqrt{x}>0x​>0, f. x<0\sqrt{x}<0x​<0.

Problem 11004

Calculate: 20.94 g/mL × 33 mL = ? g and 496.3 m ÷ 0.90 s = ? m/s.

Problem 11005

Convert 5.0 miles/hour to meters/second. Show your work and express your answer as a decimal number. (6 pts)

Problem 11006

Janet's baby weighs 15.0 lbs. How much Amoxicillin (in mg) is needed daily at 30.0 mg/kg? Show all calculations.

Problem 11007

Janet's baby weighs 15.0 lbs15.0 \, \text{lbs}15.0lbs. How many mL of Amoxicillin (200 mg/5 mL) per dose (twice daily) for 30 mg/kg30 \, \text{mg/kg}30mg/kg?

Problem 11008

Janet needs an IV medication at 2.0μg/kg/min2.0 \mu \mathrm{g} / \mathrm{kg} / \mathrm{min}2.0μg/kg/min. She weighs 115lbs115 \mathrm{lbs}115lbs. How many mL/hr\mathrm{mL} / \mathrm{hr}mL/hr will you give her?

Problem 11009

Janet can eat how much Trail Mix (g snack/day) if FDA limits sodium to 2.40 g2.40 \mathrm{~g}2.40 g and salt has 39.33 g39.33 \mathrm{~g}39.33 g sodium/100g?

Problem 11010

Calculate the IV rate in mL/hr for Janet (115 lbs) if the dose is 2.0μg/kg/min2.0 \mu \mathrm{g} / \mathrm{kg/min}2.0μg/kg/min and the bag is 250mg/250mL250 \mathrm{mg} / 250 \mathrm{mL}250mg/250mL.

Problem 11011

Divide and multiply these measurements, ensuring correct significant digits: 173.39 mol ÷ 0.61 L = \square mol/L 7.8084 mol/L × 2.3 L = \square mol 714.4 m ÷ 39.05 s = \square m/s

Problem 11012

Solve for xxx in the equation xx+3=54\frac{x}{x+3}=\frac{5}{4}x+3x​=45​.

Problem 11013

Solve the equation: x5−4=x4−6\frac{x}{5}-4=\frac{x}{4}-65x​−4=4x​−6.

Problem 11014

Solve the equation: 4x−4=−4x+3+12(x−4)(x+3)\frac{4}{x-4}=\frac{-4}{x+3}+\frac{12}{(x-4)(x+3)}x−44​=x+3−4​+(x−4)(x+3)12​

Problem 11015

Solve for xxx in the equation 3x+3=35x+3110\frac{3}{x}+3=\frac{3}{5 x}+\frac{31}{10}x3​+3=5x3​+1031​.

Problem 11016

Find the equation of the line passing through the point (−4,5)(-4,5)(−4,5) with a slope of m=12m=\frac{1}{2}m=21​.

Problem 11017

Convert 2x+5y=122x + 5y = 122x+5y=12 to slope-intercept form, y=mx+by = mx + by=mx+b.

Problem 11018

Find the value of XXX in a quadrilateral with angles N=73∘N=73^{\circ}N=73∘, M=47∘M=47^{\circ}M=47∘, P=113∘P=113^{\circ}P=113∘.

Problem 11019

In a right triangle, the opposite side is 8 and the hypotenuse is 16. Find the adjacent side and the six trigonometric functions of angle θ\thetaθ.

Problem 11020

Find the coordinates of point BBB if the midpoint M(−2,−4)M(-2,-4)M(−2,−4) and point A(−8,−5)A(-8,-5)A(−8,−5) are given.

Problem 11021

Find the coordinates of point BBB if the midpoint M(3,−2)M(3,-2)M(3,−2) and point A(7,3)A(7,3)A(7,3) are given.

Problem 11022

Find the coordinates of point BBB if the midpoint M(1,−7)M(1,-7)M(1,−7) and point A(−2,−6)A(-2,-6)A(−2,−6) are given.

Problem 11023

Find the coordinates of point BBB if the midpoint M(−4,2)M(-4,2)M(−4,2) and point A(−7,3)A(-7,3)A(−7,3) are given.

Problem 11024

Check if the point (1,2)(1,2)(1,2) is on the line defined by the equation y=3x−2y=3x-2y=3x−2.

Problem 11025

Find the range of values of ppp such that both 3x2+2px+3=03x^{2}+2px+3=03x2+2px+3=0 and x2+4x−p=0x^{2}+4x-p=0x2+4x−p=0 have real roots.

Problem 11026

Find the coordinates that divide the line segment from (−8,6)(-8,6)(−8,6) to (−3,−4)(-3,-4)(−3,−4) in a 2:3 ratio.

Problem 11027

Find the equations of lines through (−2,3)(-2,3)(−2,3): one parallel to y=−2x+4y=-2x+4y=−2x+4 and one perpendicular to it.

Problem 11028

Find the distance between the points (6,9) and (-3,7) in simplest radical form: d=(6−(−3))2+(9−7)2d = \sqrt{(6 - (-3))^2 + (9 - 7)^2}d=(6−(−3))2+(9−7)2​

Problem 11029

Find the values of xxx and yyy that satisfy the equation 2x+3y=122x + 3y = 122x+3y=12 for the point (3,1)(3,1)(3,1).

Problem 11030

Find the slope of the line given by the equation 2x+3y=122x + 3y = 122x+3y=12.

Problem 11031

Solve (x+1)(x−2)=3(x+1)(x-2)=3(x+1)(x−2)=3 and express your answers in surd form.

Problem 11032

Find the coordinates of the point (x,y)(x,y)(x,y) that satisfies the equation 3x−5y=153x - 5y = 153x−5y=15 at the point (6,1)(6,1)(6,1).

Problem 11033

Find the roots of 2x=−5+3x22 x = -5 + 3 x^{2}2x=−5+3x2 and the values of ccc for which 3x2+5x+c>03 x^{2} + 5 x + c > 03x2+5x+c>0.

Problem 11034

Bob bought a house for \42,000,nowworth$67,500.Find42,000, now worth \$67,500. Find 42,000,nowworth$67,500.Findmand and andbin in inV=m t+bfor for for0 \leq t \leq 15$.

Problem 11035

How long until two joggers meet again if one takes 21 min and the other 45 min to complete a lap? Answer in minutes.

Problem 11036

Bob bought a house for \$ 42,000. Now it's worth \$ 67,500. (a) Find mmm and bbb in V=mt+bV=m t+bV=mt+b for 0≤t≤150 \leq t \leq 150≤t≤15. (b) Estimate when the house will be worth \$ 72,500.

Problem 11037

Find the horizontal distance the jet flies to reach 12,00012,00012,000 ft altitude with a slope of m=3/8m=3/8m=3/8.

Problem 11038

How much should Mary Ellen invest at 5%5\%5% to earn \$1185 in interest in one year?

Problem 11039

Calculate the product of 3.15, 2.5, and 4.00 with the correct significant figures: 3.15×2.5×4.00=3.15 \times 2.5 \times 4.00 =3.15×2.5×4.00=

Problem 11040

Find the result of 313.0−(1.2×103)313.0 - (1.2 \times 10^{3})313.0−(1.2×103) with the correct significant figures.

Problem 11041

Find the real values of $x$ for the following: a. $\sqrt{x}=6$ , b. $\sqrt{x}=-6$ , c. $\sqrt{-x}=6$ , d. $\sqrt{-x}=-6$ , e. $\sqrt{x}>0$ , f. $\sqrt{x}<0$ .

Janet's baby weighs $15.0 \, \text{lbs}$ . How many mL of Amoxicillin (200 mg/5 mL) per dose (twice daily) for $30 \, \text{mg/kg}$ ?

Janet needs an IV medication at $2.0 \mu \mathrm{g} / \mathrm{kg} / \mathrm{min}$ . She weighs $115 \mathrm{lbs}$ . How many $\mathrm{mL} / \mathrm{hr}$ will you give her?

Janet can eat how much Trail Mix (g snack/day) if FDA limits sodium to $2.40 \mathrm{~g}$ and salt has $39.33 \mathrm{~g}$ sodium/100g?

Calculate the IV rate in mL/hr for Janet (115 lbs) if the dose is $2.0 \mu \mathrm{g} / \mathrm{kg/min}$ and the bag is $250 \mathrm{mg} / 250 \mathrm{mL}$ .

Divide and multiply these measurements, ensuring correct significant digits:
173.39 mol ÷ 0.61 L = \square mol/L 7.8084 mol/L × 2.3 L = \square mol 714.4 m ÷ 39.05 s = \square m/s

Solve for $x$ in the equation $\frac{x}{x+3}=\frac{5}{4}$ .

Solve the equation: $\frac{x}{5}-4=\frac{x}{4}-6$ .

Solve the equation: $\frac{4}{x-4}=\frac{-4}{x+3}+\frac{12}{(x-4)(x+3)}$

Solve for $x$ in the equation $\frac{3}{x}+3=\frac{3}{5 x}+\frac{31}{10}$ .

Find the equation of the line passing through the point $(-4,5)$ with a slope of $m=\frac{1}{2}$ .

Convert $2x + 5y = 12$ to slope-intercept form, $y = mx + b$ .

Find the value of $X$ in a quadrilateral with angles $N=73^{\circ}$ , $M=47^{\circ}$ , $P=113^{\circ}$ .

In a right triangle, the opposite side is 8 and the hypotenuse is 16. Find the adjacent side and the six trigonometric functions of angle $\theta$ .

Find the coordinates of point $B$ if the midpoint $M(-2,-4)$ and point $A(-8,-5)$ are given.

Find the coordinates of point $B$ if the midpoint $M(3,-2)$ and point $A(7,3)$ are given.

Find the coordinates of point $B$ if the midpoint $M(1,-7)$ and point $A(-2,-6)$ are given.

Find the coordinates of point $B$ if the midpoint $M(-4,2)$ and point $A(-7,3)$ are given.

Check if the point $(1,2)$ is on the line defined by the equation $y=3x-2$ .

Find the range of values of $p$ such that both $3x^{2}+2px+3=0$ and $x^{2}+4x-p=0$ have real roots.

Find the coordinates that divide the line segment from $(-8,6)$ to $(-3,-4)$ in a 2:3 ratio.

Find the equations of lines through $(-2,3)$ : one parallel to $y=-2x+4$ and one perpendicular to it.

Find the distance between the points (6,9) and (-3,7) in simplest radical form: $d = \sqrt{(6 - (-3))^2 + (9 - 7)^2}$

Find the values of $x$ and $y$ that satisfy the equation $2x + 3y = 12$ for the point $(3,1)$ .

Find the slope of the line given by the equation $2x + 3y = 12$ .

Solve $(x+1)(x-2)=3$ and express your answers in surd form.

Find the coordinates of the point $(x,y)$ that satisfies the equation $3x - 5y = 15$ at the point $(6,1)$ .

Find the roots of $2 x = -5 + 3 x^{2}$ and the values of $c$ for which $3 x^{2} + 5 x + c > 0$ .

Bob bought a house for \ $42,000, now worth \$67,500. Find$ m $and$ b $in$ V=m t+b $for$ 0 \leq t \leq 15$.

Bob bought a house for \$ 42,000. Now it's worth \$ 67,500.
(a) Find $m$ and $b$ in $V=m t+b$ for $0 \leq t \leq 15$ . (b) Estimate when the house will be worth \$ 72,500.

Find the horizontal distance the jet flies to reach $12,000$ ft altitude with a slope of $m=3/8$ .

How much should Mary Ellen invest at $5\%$ to earn \$1185 in interest in one year?

Calculate the product of 3.15, 2.5, and 4.00 with the correct significant figures: $3.15 \times 2.5 \times 4.00 =$

Find the result of $313.0 - (1.2 \times 10^{3})$ with the correct significant figures.

Calculate the interest earned by Anjana's simple interest and Darin's compound interest on \ $3000 at$ 4.9\%$ over 5 years.

Rewrite the equation $x^{2}-14 x-1$ as $(x+ a)^2 + b$ with integers $a$ and $b$ .

Find the roots of $x^{2}-24x+5$ by rewriting it as $(x+a)^2=b$ with integers $a$ and $b$ .

Calculate $1000 + (140 + 160)$ .

Rewrite the equation $x^{2}-24 x+5$ as $(x+a)^2 + b$ by completing the square, with $a$ and $b$ as integers.

Barret ran 8 laps on a circular track with a radius of 0.75 miles. How far did he run? Use $C = 2\pi r$ to find the distance.

Find the smaller number if the difference between two numbers is 8 and $3 \times \text{smaller} = \text{greater} + 26$ .

Let the son's age be $x$ . Then, father's age is $2x$ . Twenty-five years ago, $2x - 25 = 27(x - 25)$ . Find $x$ .

Find the ratio of the area of a room on a floor plan (scale $1: 200$ ) to its actual area.

A coin rolls down a $62.8 \mathrm{~cm}$ slope, rotating 10 times. Find the radius of the coin. A. $1 \mathrm{~cm}$ B. $\sqrt{2} \mathrm{~cm}$ C. $0.2 \mathrm{~cm}$ D. $10 \mathrm{~cm}$

An athlete releases a shot put at $65^{\circ}$ . Its height is modeled by $f(x)=-0.03 x^{2}+2.1 x+6.1$ . Find the max height and distance from release.

Jason drove 435.75 miles over three months. If June was 127.35 and July was 167.98, find August's mileage: $?$

Which of these is NOT equal to $\frac{36}{54}$ ? A. $\frac{12}{18}$ B. $\frac{8}{12}$ C. $\frac{24}{30}$ D. $\frac{48}{72}$

Сколько молей оксида кальция в 112 г вещества? Найдите: $n(\mathrm{CaO})$ при $m(\mathrm{CaO})=112 \Gamma$ .

An athlete releases a shot modeled by $f(x)=-0.02 x^{2}+1.2 x+5.3$ . Find its max height and distance from release point.

Find the max horizontal distance of a shot with max height 23.3 units at 30 feet, following $F(x)=-0.02x^2+1.2x+5.3$ .

An athlete releases a shot modeled by $f(x)=-0.01 x^{2}+0.7 x+5.4$ . Find the maximum height and its distance from release.

Find the area of a park on a map with a scale of $1: 500$ if the actual area is $8000 \mathrm{~m}^{2}$ .

A shot reaches a max height of 21.3 ft at 40 ft from release. Find its max horizontal distance using $F(x)=-0.01x^2+0.8x+5.3$ .

Solve the equation $-28=7+x$ . What is $x$ ? (A) $x=-\frac{1}{4}$ (B) $x=-4$ (C) $x=-21$ (D) $x=-35$

What property of equality solves $-15+x=18$ ? (A) Addition (B) Subtraction (C) Multiplication (D) Division

Solve the equation $-\frac{1}{3} x = 9$ . What is the value of $x$ ?

Aufgabe: Finde die Gleichung der Ebene $E_{1}$ in Normalenform für das Dreieck $B C S$ mit Punkten $B(3|3|7)$ , $C(-3|3|7)$ und $S(0|0|13)$ .