Series

Problem 1401

A child weighing 80 lbs needs Phenytoin elixir $60 \mathrm{mg}$ every 8 hours. How many mls per dose? (Round to 1 decimal place)

See Solution

Problem 1402

Is a $600 \mathrm{mg}$ dose of Amoxicillin every 6 hours safe for a child weighing 35 pounds, given the $150-350 \mathrm{mg}$ daily range?

See Solution

Problem 1403

A child weighs 72 pounds. Gentamicin is prescribed at $8 \mathrm{mg} / \mathrm{kg} /$ day every 6 hours. How many $\mathrm{mls}$ per dose?

See Solution

Problem 1404

Calculate the dose of Ceclor in mg for a 12 lb infant, and find the mL needed per dose. Ceclor is $20 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ and $100 \mathrm{mg} / 2 \mathrm{mL}$ .

See Solution

Problem 1405

Is a dose of Eryped drops $120 \mathrm{mg}$ every 6 hours safe for a 27-pound child given the safe range of $30-50 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ ?

See Solution

Problem 1406

A child weighing 35 pounds needs Amoxicillin. How many $200 \mathrm{mg}$ tablets for a $600 \mathrm{mg}$ dose every 6 hours?

See Solution

Problem 1407

A child weighing 58 pounds needs Tetracycline elixir at $40 \mathrm{mg} / \mathrm{kg} /$ day every 6 hours. How many mls per dose?

See Solution

Problem 1408

A child weighing 58 pounds needs Tetracycline elixir at $40 \mathrm{mg} / \mathrm{kg} /$ day every 6 hours. How many $\mathrm{mgs}$ per dose?

See Solution

Problem 1409

Find the safe dose range for a 35-pound child taking Amoxicillin, with a daily dose of $150 \mathrm{mg}-350 \mathrm{mg}$ .

See Solution

Problem 1410

A child weighing 80 pounds needs Phenytoin $60 \mathrm{mg}$ every 8 hours. How many mls per dose? (Round to 1 decimal place)

See Solution

Problem 1411

A child weighs 29 pounds. Find the safe Digoxin dose range in mg/day for a weight under 15 kg: $11.3-18.8 \mathrm{mg} / \mathrm{kg}$ .

See Solution

Problem 1412

See Solution

Problem 1413

A child weighing $19.5 \mathrm{kgs}$ needs Prednisolone $200 \mathrm{mcg} / \mathrm{kg}$ . How many mls will the nurse prepare?

See Solution

Problem 1414

Calculate the safe dose range for a 27-pound child given Eryped drops of $30-50 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ .

See Solution

Problem 1415

A child weighing 72 pounds needs Gentamicin $8 \mathrm{mg} / \mathrm{kg} /$ day every 6 hours. How many mls per dose?

See Solution

Problem 1416

Solve the system of equations: $x + y = 5$ and $x - y = -1$ .

See Solution

Problem 1417

A child weighs 29 pounds. Is a dose of $0.125 \mathrm{mg}$ every 12 hours safe, given the range $11.3-18.8 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ ?

See Solution

Problem 1418

Calculate: $-12 - (-10)$

See Solution

Problem 1419

Calculate $-30 \div (-6)$ .

See Solution

Problem 1420

Calculate $-8 \cdot 2$ .

See Solution

Problem 1421

Solve for $x$ in the equation $\frac{7^{4} \times 7^{x}}{7^{11}}=1$ . Find $x=$

See Solution

Problem 1422

Calculate the product of $-1$ and $-7$ .

See Solution

Problem 1423

Tasha's drawing shows piers $12 \mathrm{~cm}$ apart. If $2 \mathrm{~cm}$ = $0.5 \mathrm{mi}$ , find the actual distance between the piers.

See Solution

Problem 1424

Find the perimeter of a rectangle with length 6 feet and width 3 feet. Use the formula $P = 2(l + w)$ .

See Solution

Problem 1425

Circle the digit in the hundredths place of 8,656.175.

See Solution

Problem 1426

Emily's barn drawing is 15 in. wide and 18 in. long. If the actual width is 10 ft, find the actual length.

See Solution

Problem 1427

Convert 24 kg to grams. Recall that 1 kg = 1,000 g.

See Solution

Problem 1428

Write 814,496 in words.

See Solution

Problem 1429

If a wire creates a $10 \mathrm{~T}$ field at distance $r$ , what is the net field at $r$ with another wire at $2r$ ?

See Solution

Problem 1430

Rosa took 15.6 min to the store and 18.5 min to return. How much longer was her return trip?

See Solution

Problem 1431

Hannah baked $n$ brownies, gave away 12, and ate 6. Write an expression for the remaining brownies.

See Solution

Problem 1432

Mrs. Miller uses $4/8$ cup for cake and $3/8$ cup for frosting. Total honey used?

See Solution

Problem 1433

Find the dimensions of a rectangle scaled by $\frac{2}{3}$ if the original is 12 inches long and 8 inches wide.

See Solution

Problem 1434

Is 729 divisible by 7? Circle: $729$ is divisible by $7$ or $729$ is NOT divisible by $7$ .

See Solution

Problem 1435

Circle the digit in the hundredths place of $3,656.175$ .

See Solution

Problem 1436

Prove that $\sin 3\theta + \sin \theta = 4 \sin \theta - 4 \sin^3 \theta$ .

See Solution

Problem 1437

What time is it 14 hours after 5:00 p.m.?

See Solution

Problem 1438

Circle the smallest number: 5,211,528,706, 6,078,934, 340,987,126, 349,726,390,418.

See Solution

Problem 1439

Giá trị của $a$ , $b$ sau khi chạy code: $a=1$ , $a+=a$ , $b=a+12+16/a+3$ , $b^=4+5$ . Tính $a$ , $b$ .

See Solution

Problem 1440

Find $\frac{d}{d x} f^{-1}(0)$ for $f(x)=x+\sin x$ . At $x=0$ , $f$ has slope 2, so $f^{-1}$ slope is $\frac{1}{2}$ .

See Solution

Problem 1441

Find the derivative of $f(x) = x^2$ using the limit definition: $f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$ .

See Solution

Problem 1442

Find the value of $\sqrt{69}$ .

See Solution

Problem 1443

Find the annual interest rate for an investment of \$3500 that doubles in 5 years. Options: 40\%, 50\%, 30\%, 20\%.

See Solution

Problem 1444

Solve for $x$ in the equation: $2 x + 5 = 10$ .

See Solution

Problem 1445

What is the concentration in $\mathrm{g}/\mathrm{fl.oz}$ for $90 \mathrm{oz} 7 \mathrm{gr}/\mathrm{gal}$ ?

See Solution

Problem 1446

Find the debt-equity ratio given a cost of equity of 14.9%, cost of debt of 7.3%, and return on assets of 12.6%.

See Solution

Problem 1447

Malkin Corp. has no debt, WACC 9.6%, borrowing at 5.9%. Find cost of equity with 0%, 30%, and 60% debt. What are WACCs?

See Solution

Problem 1448

Nyatakan sama ada semua segi empat tepat adalah segi empat sama: benar atau palsu?

See Solution

Problem 1449

Tentukan tinggi tiang silinder dengan isi padu $404 \mathrm{~cm}^{3}$ dan jejari $2 \mathrm{~cm}$ .

See Solution

Problem 1450

Buat kesimpulan umum secara induksi untuk urutan nombor $-\frac{1}{2}, \frac{3}{2}, \frac{25}{6}, \ldots$ mengikut pola yang diberikan.

See Solution

Problem 1451

Dalam Rajah 5, cari (a) titik tengah garis $P Q$ , (b) panjang $Q R$ untuk trapezium PQRS dengan P(-2,4), Q(4,6), R(9,1).

See Solution

Problem 1452

Demuestra la ley de Boyle: $p V=$ const, la ley de Charles: $V / T=$ const, y la ley de Gay-Lussac: $p / T=$ const.

See Solution

Problem 1453

A particle with mass $m_{1}$ and momentum $p_{1}$ collides elastically with mass $m_{2}$ at rest. Show $E_{3}$ and $p_{3}$ formulas.

See Solution

Problem 1454

Find the parametrization of the circle centered at $1-i$ with radius 3: $z(t)=$ .

See Solution

Problem 1455

Expand the expression $(4+3 x)^{5}$ .

See Solution

Problem 1456

Simplify the expression: $\frac{\frac{1}{x+2}}{\frac{1}{x}+\frac{1}{2}}$ .

See Solution

Problem 1457

Find the limit: If $f(z)=\frac{z+\bar{z}}{z}$ , then $\lim _{x \rightarrow 0} f(x+0 i)=$ .

See Solution

Problem 1458

Solve the equation by factoring: $x^{3}+5 x^{2}-4 x-20=0$ .

See Solution

Problem 1459

Solve the equation: $3x - 5x^{2} + 1 = x - 7$ .

See Solution

Problem 1460

How many trucks does a factory produce in 8 days at 18 trucks per day? Calculate $8 \times 18$ .

See Solution

Problem 1461

See Solution

Problem 1462

How many liters of alcohol are needed to make 500,000 patches if each contains $0.3 \mathrm{~mL}$ of alcohol?

See Solution

Problem 1463

Find the real and imaginary parts of $f(z)=z^{2}+i \bar{z}$ : $u(x, y)=$ and $v(x, y)=$ .

See Solution

Problem 1464

How many kg of aluminium hydroxide gel are needed for 250,000 bottles with 100 tablets each, if each tablet has $80 \mathrm{mg}$ ?

See Solution

Problem 1465

Find side $BC$ of triangle $ABC$ with $AB=8$ , $AC=8\sqrt{2}$ , $\angle ABC=45^{\circ}$ , $\angle ACB=30^{\circ}$ .

See Solution

Problem 1466

A 15-ml nasal spray has 20 sprays/ml, each with $1.5 \mathrm{mg}$ . (a) Total sprays? (b) Total mg of drug in the package?

See Solution

Problem 1467

Determine if a perfect hedge exists using the matrix $A$ and vector $b$ . Solve for $\hat{x}$ using $\hat{x}=(A^{} A)^{-1} A^{} b$ .

See Solution

Problem 1468

Find $\lim _{x \rightarrow 0} f(x+0 i)$ and $\lim _{y \rightarrow 0} f(0+i y)$ for $f(z)=\frac{z+\bar{z}}{z}$ .

See Solution

Problem 1469

Evaluate the limit as $x$ approaches 0: $\lim _{x \rightarrow 0} \frac{x^{2}-25}{x^{2}-4 x-5}$ .

See Solution

Problem 1470

Calculate $12 / 20$ and find the missing number in the sequence: 100, 93, 84, 73.

See Solution

Problem 1471

Find the next number in the sequence: 7, 11, 16, 22, 29, ?

See Solution

Problem 1472

Find the next number in the sequence: $6, 3, 12, 9, 36, 33$ .

See Solution

Problem 1473

Find the algebraic expression for "a number plus 17 equals 30".

See Solution

Problem 1474

True or false: For a population proportion confidence interval, we use $\mathrm{z}$ -distribution, not $\mathrm{t}$ -distribution.

See Solution

Problem 1475

Identify which statements about confidence intervals and distributions are true or false: 1) z vs t for population proportion, 2) degrees of freedom, 3) known $\sigma$ and Z, 4) unknown $\sigma$ and S, 5) t vs z for population proportion.

See Solution

Problem 1476

Find the test statistic $z$ for a sample mean of 84, size 49, standard deviation 14, testing if mean > 80 at $\alpha = 0.05$ .

See Solution

Problem 1477

Identify which statements are true or false regarding confidence intervals and distributions.

See Solution

Problem 1478

Identify the number that doesn't fit the pattern: $2, 20, 4, 8, 300$ .

See Solution

Problem 1479

How much will you pay in total if you borrow \$400 for 2 years at an annual interest rate of 15%?

See Solution

Problem 1480

How much will you pay in total if you borrow \$600 for 2 years at a 7% annual interest rate?

See Solution

Problem 1481

Find $\frac{d y}{d x}$ for the equation $2 \cdot x \cdot \ln (y) + y^{2} = 5$ .

See Solution

Problem 1482

Find $\frac{d y}{d x}$ if $e^{x \cdot y}+5 \cdot y^{4}=2 \cdot y$ .

See Solution

Problem 1483

How much will you pay in total if you borrow \$100 for 4 years at a 15% annual interest rate?

See Solution

Problem 1484

Find the marginal profit $P^{\prime}(x)$ for $P(x)=3 \cdot x-8 \cdot \sqrt{x}$ and calculate $\frac{P^{\prime}(x)}{x}$ .

See Solution

Problem 1485

Find the marginal cost for businesses A and B with $C_A(x)=350+40x+0.12x^2$ and $C_B(x)=280+30x+0.09x^2$ . For $x=500$ , which is cheaper?

See Solution

Problem 1486

How much will you pay in total after borrowing \$400 for 3 years at a 4% annual interest rate?

See Solution

Problem 1487

How much will you pay in total if you borrow \$2,400 for 4 years at a 6% annual interest rate?

See Solution

Problem 1488

Calculate: $225^{\frac{1}{2}} - \left(-216^{\frac{2}{3}}\right)$

See Solution

Problem 1489

Kiaria is 7 years older than Jay, and Martha is twice Kiaria's age. Their ages total 77. Find the age ratio of Jay:Kiaria:Martha.

See Solution

Problem 1490

Find the value of $\left(\frac{4}{5}\right)^{-2}$ . Choices: a. $-\frac{16}{25}$ b. $\frac{4}{5}$ c. $\frac{5}{4}$ d. $\frac{25}{16}$ .

See Solution

Problem 1491

Identify the function that represents exponential decay from the options below: a) $f(x)=8(17)^{\frac{x}{4}}$ b) $f(x)=3.4(0.4)^{2 x}$ c) $f(x)=25(8.0)^{x}$ d) $f(x)=6(1.01)^{x}$

See Solution

Problem 1492

Verify that $(A B)^{T} = B^{T} A^{T}$ for matrices $A=\begin{bmatrix}1 & 2 & -1 \\ 3 & 0 & 2 \\ 4 & 5 & 0\end{bmatrix}$ and $B=\begin{bmatrix}1 & 0 & 0 \\ 2 & 1 & 0 \\ 0 & 1 & 3\end{bmatrix}$ .

See Solution

Problem 1493

Evaluate $\frac{\left(x^{2 n-2}\right)\left(x^{n+3}\right)}{\left(x^{2 n-1}\right)}$ for $x=2$ and $n=-3$ .

See Solution

Problem 1494

Simplify the expression: $5 \sqrt{80}-10 \sqrt{20}$ .

See Solution

Problem 1495

Calculate $81^{\frac{1}{4}}\left(81^{\frac{2}{4}}\right)$ . What is the result?

See Solution

Problem 1496

Solve the equation $\log _{3}(x^{2}-9)=1+\log _{3}(3-x)$ .

See Solution

Problem 1497

Complete the square for $h(d)=2+0.16 d-0.004 d^{2}$ and find the distance $d$ for max height of the baseball.

See Solution

Problem 1498

Find the maximum height of the baseball modeled by $h(d)=2+0.16 d-0.004 d^{2}$ , rounded to one decimal place.

See Solution

Problem 1499

Evaluate for $x=4$ and $n=-3$ : $\frac{\left(x^{2 n-2}\right)\left(x^{-n+3}\right)}{\left(x^{2 n+1}\right)}$

See Solution

Problem 1500

Solve $3^{2 n+1}=2\left(2^{1-3 n}\right)$ for 'n'.

See Solution

1 ...12 13 14 15 16 17 18 19

Series

Problem 1401

A child weighing 80 lbs needs Phenytoin elixir 60mg60 \mathrm{mg}60mg every 8 hours. How many mls per dose? (Round to 1 decimal place)

Problem 1402

Is a 600mg600 \mathrm{mg}600mg dose of Amoxicillin every 6 hours safe for a child weighing 35 pounds, given the 150−350mg150-350 \mathrm{mg}150−350mg daily range?

Problem 1403

A child weighs 72 pounds. Gentamicin is prescribed at 8mg/kg/8 \mathrm{mg} / \mathrm{kg} /8mg/kg/ day every 6 hours. How many mls\mathrm{mls}mls per dose?

Problem 1404

Calculate the dose of Ceclor in mg for a 12 lb infant, and find the mL needed per dose. Ceclor is 20mg/kg/day20 \mathrm{mg} / \mathrm{kg} / \mathrm{day}20mg/kg/day and 100mg/2mL100 \mathrm{mg} / 2 \mathrm{mL}100mg/2mL.

Problem 1405

Is a dose of Eryped drops 120mg120 \mathrm{mg}120mg every 6 hours safe for a 27-pound child given the safe range of 30−50mg/kg/day30-50 \mathrm{mg} / \mathrm{kg} / \mathrm{day}30−50mg/kg/day?

Problem 1406

A child weighing 35 pounds needs Amoxicillin. How many 200mg200 \mathrm{mg}200mg tablets for a 600mg600 \mathrm{mg}600mg dose every 6 hours?

Problem 1407

A child weighing 58 pounds needs Tetracycline elixir at 40mg/kg/40 \mathrm{mg} / \mathrm{kg} /40mg/kg/ day every 6 hours. How many mls per dose?

Problem 1408

A child weighing 58 pounds needs Tetracycline elixir at 40mg/kg/40 \mathrm{mg} / \mathrm{kg} /40mg/kg/ day every 6 hours. How many mgs\mathrm{mgs}mgs per dose?

Problem 1409

Find the safe dose range for a 35-pound child taking Amoxicillin, with a daily dose of 150mg−350mg150 \mathrm{mg}-350 \mathrm{mg}150mg−350mg.

Problem 1410

A child weighing 80 pounds needs Phenytoin 60mg60 \mathrm{mg}60mg every 8 hours. How many mls per dose? (Round to 1 decimal place)

Problem 1411

A child weighs 29 pounds. Find the safe Digoxin dose range in mg/day for a weight under 15 kg: 11.3−18.8mg/kg11.3-18.8 \mathrm{mg} / \mathrm{kg}11.3−18.8mg/kg.

Problem 1412

Problem 1413

A child weighing 19.5kgs19.5 \mathrm{kgs}19.5kgs needs Prednisolone 200mcg/kg200 \mathrm{mcg} / \mathrm{kg}200mcg/kg. How many mls will the nurse prepare?

Problem 1414

Calculate the safe dose range for a 27-pound child given Eryped drops of 30−50mg/kg/day30-50 \mathrm{mg} / \mathrm{kg} / \mathrm{day}30−50mg/kg/day.

Problem 1415

A child weighing 72 pounds needs Gentamicin 8mg/kg/8 \mathrm{mg} / \mathrm{kg} /8mg/kg/ day every 6 hours. How many mls per dose?

Problem 1416

Solve the system of equations: x+y=5x + y = 5x+y=5 and x−y=−1x - y = -1x−y=−1.

Problem 1417

A child weighs 29 pounds. Is a dose of 0.125mg0.125 \mathrm{mg}0.125mg every 12 hours safe, given the range 11.3−18.8mg/kg/day11.3-18.8 \mathrm{mg} / \mathrm{kg} / \mathrm{day}11.3−18.8mg/kg/day?

Problem 1418

Calculate: −12−(−10)-12 - (-10)−12−(−10)

Problem 1419

Calculate −30÷(−6)-30 \div (-6)−30÷(−6).

Problem 1420

Calculate −8⋅2-8 \cdot 2−8⋅2.

Problem 1421

Solve for xxx in the equation 74×7x711=1\frac{7^{4} \times 7^{x}}{7^{11}}=171174×7x​=1. Find x=x=x=

Problem 1422

Calculate the product of −1-1−1 and −7-7−7.

Problem 1423

Tasha's drawing shows piers 12 cm12 \mathrm{~cm}12 cm apart. If 2 cm2 \mathrm{~cm}2 cm = 0.5mi0.5 \mathrm{mi}0.5mi, find the actual distance between the piers.

Problem 1424

Find the perimeter of a rectangle with length 6 feet and width 3 feet. Use the formula P=2(l+w)P = 2(l + w)P=2(l+w).

Problem 1425

Circle the digit in the hundredths place of 8,656.175.

Problem 1426

Emily's barn drawing is 15 in. wide and 18 in. long. If the actual width is 10 ft, find the actual length.

Problem 1427

Convert 24 kg to grams. Recall that 1 kg = 1,000 g.

Problem 1428

Write 814,496 in words.

Problem 1429

If a wire creates a 10 T10 \mathrm{~T}10 T field at distance rrr, what is the net field at rrr with another wire at 2r2r2r?

Problem 1430

Rosa took 15.6 min to the store and 18.5 min to return. How much longer was her return trip?

Problem 1431

Hannah baked nnn brownies, gave away 12, and ate 6. Write an expression for the remaining brownies.

Problem 1432

Mrs. Miller uses 4/84/84/8 cup for cake and 3/83/83/8 cup for frosting. Total honey used?

Problem 1433

Find the dimensions of a rectangle scaled by 23\frac{2}{3}32​ if the original is 12 inches long and 8 inches wide.

Problem 1434

Is 729 divisible by 7? Circle: 729729729 is divisible by 777 or 729729729 is NOT divisible by 777.

Problem 1435

Circle the digit in the hundredths place of 3,656.1753,656.1753,656.175.

Problem 1436

Prove that sin⁡3θ+sin⁡θ=4sin⁡θ−4sin⁡3θ\sin 3\theta + \sin \theta = 4 \sin \theta - 4 \sin^3 \thetasin3θ+sinθ=4sinθ−4sin3θ.

Problem 1437

What time is it 14 hours after 5:00 p.m.?

Problem 1438

Circle the smallest number: 5,211,528,706, 6,078,934, 340,987,126, 349,726,390,418.

Problem 1439

Giá trị của aaa, bbb sau khi chạy code: a=1a=1a=1, a+=aa+=aa+=a, b=a+1∗2+16/a+3b=a+1*2+16/a+3b=a+1∗2+16/a+3, b∗=4+5b^*=4+5b∗=4+5. Tính aaa, bbb.

Problem 1440

Find ddxf−1(0)\frac{d}{d x} f^{-1}(0)dxd​f−1(0) for f(x)=x+sin⁡xf(x)=x+\sin xf(x)=x+sinx. At x=0x=0x=0, fff has slope 2, so f−1f^{-1}f−1 slope is 12\frac{1}{2}21​.

A child weighing 80 lbs needs Phenytoin elixir $60 \mathrm{mg}$ every 8 hours. How many mls per dose? (Round to 1 decimal place)

Is a $600 \mathrm{mg}$ dose of Amoxicillin every 6 hours safe for a child weighing 35 pounds, given the $150-350 \mathrm{mg}$ daily range?

A child weighs 72 pounds. Gentamicin is prescribed at $8 \mathrm{mg} / \mathrm{kg} /$ day every 6 hours. How many $\mathrm{mls}$ per dose?

Calculate the dose of Ceclor in mg for a 12 lb infant, and find the mL needed per dose. Ceclor is $20 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ and $100 \mathrm{mg} / 2 \mathrm{mL}$ .

Is a dose of Eryped drops $120 \mathrm{mg}$ every 6 hours safe for a 27-pound child given the safe range of $30-50 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ ?

A child weighing 35 pounds needs Amoxicillin. How many $200 \mathrm{mg}$ tablets for a $600 \mathrm{mg}$ dose every 6 hours?

A child weighing 58 pounds needs Tetracycline elixir at $40 \mathrm{mg} / \mathrm{kg} /$ day every 6 hours. How many mls per dose?

A child weighing 58 pounds needs Tetracycline elixir at $40 \mathrm{mg} / \mathrm{kg} /$ day every 6 hours. How many $\mathrm{mgs}$ per dose?

Find the safe dose range for a 35-pound child taking Amoxicillin, with a daily dose of $150 \mathrm{mg}-350 \mathrm{mg}$ .

A child weighing 80 pounds needs Phenytoin $60 \mathrm{mg}$ every 8 hours. How many mls per dose? (Round to 1 decimal place)

A child weighs 29 pounds. Find the safe Digoxin dose range in mg/day for a weight under 15 kg: $11.3-18.8 \mathrm{mg} / \mathrm{kg}$ .

A child weighing $19.5 \mathrm{kgs}$ needs Prednisolone $200 \mathrm{mcg} / \mathrm{kg}$ . How many mls will the nurse prepare?

Calculate the safe dose range for a 27-pound child given Eryped drops of $30-50 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ .

A child weighing 72 pounds needs Gentamicin $8 \mathrm{mg} / \mathrm{kg} /$ day every 6 hours. How many mls per dose?

Solve the system of equations: $x + y = 5$ and $x - y = -1$ .

A child weighs 29 pounds. Is a dose of $0.125 \mathrm{mg}$ every 12 hours safe, given the range $11.3-18.8 \mathrm{mg} / \mathrm{kg} / \mathrm{day}$ ?

Calculate: $-12 - (-10)$

Calculate $-30 \div (-6)$ .

Calculate $-8 \cdot 2$ .

Solve for $x$ in the equation $\frac{7^{4} \times 7^{x}}{7^{11}}=1$ . Find $x=$

Calculate the product of $-1$ and $-7$ .

Tasha's drawing shows piers $12 \mathrm{~cm}$ apart. If $2 \mathrm{~cm}$ = $0.5 \mathrm{mi}$ , find the actual distance between the piers.

Find the perimeter of a rectangle with length 6 feet and width 3 feet. Use the formula $P = 2(l + w)$ .

If a wire creates a $10 \mathrm{~T}$ field at distance $r$ , what is the net field at $r$ with another wire at $2r$ ?

Hannah baked $n$ brownies, gave away 12, and ate 6. Write an expression for the remaining brownies.

Mrs. Miller uses $4/8$ cup for cake and $3/8$ cup for frosting. Total honey used?

Find the dimensions of a rectangle scaled by $\frac{2}{3}$ if the original is 12 inches long and 8 inches wide.

Is 729 divisible by 7? Circle: $729$ is divisible by $7$ or $729$ is NOT divisible by $7$ .

Circle the digit in the hundredths place of $3,656.175$ .

Prove that $\sin 3\theta + \sin \theta = 4 \sin \theta - 4 \sin^3 \theta$ .

Giá trị của $a$ , $b$ sau khi chạy code: $a=1$ , $a+=a$ , $b=a+12+16/a+3$ , $b^=4+5$ . Tính $a$ , $b$ .

Find $\frac{d}{d x} f^{-1}(0)$ for $f(x)=x+\sin x$ . At $x=0$ , $f$ has slope 2, so $f^{-1}$ slope is $\frac{1}{2}$ .

Find the derivative of $f(x) = x^2$ using the limit definition: $f'(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$ .

Find the value of $\sqrt{69}$ .

Solve for $x$ in the equation: $2 x + 5 = 10$ .

What is the concentration in $\mathrm{g}/\mathrm{fl.oz}$ for $90 \mathrm{oz} 7 \mathrm{gr}/\mathrm{gal}$ ?

Tentukan tinggi tiang silinder dengan isi padu $404 \mathrm{~cm}^{3}$ dan jejari $2 \mathrm{~cm}$ .

Buat kesimpulan umum secara induksi untuk urutan nombor $-\frac{1}{2}, \frac{3}{2}, \frac{25}{6}, \ldots$ mengikut pola yang diberikan.

Dalam Rajah 5, cari (a) titik tengah garis $P Q$ , (b) panjang $Q R$ untuk trapezium PQRS dengan P(-2,4), Q(4,6), R(9,1).

Demuestra la ley de Boyle: $p V=$ const, la ley de Charles: $V / T=$ const, y la ley de Gay-Lussac: $p / T=$ const.

A particle with mass $m_{1}$ and momentum $p_{1}$ collides elastically with mass $m_{2}$ at rest. Show $E_{3}$ and $p_{3}$ formulas.

Find the parametrization of the circle centered at $1-i$ with radius 3: $z(t)=$ .

Expand the expression $(4+3 x)^{5}$ .

Simplify the expression: $\frac{\frac{1}{x+2}}{\frac{1}{x}+\frac{1}{2}}$ .

Find the limit: If $f(z)=\frac{z+\bar{z}}{z}$ , then $\lim _{x \rightarrow 0} f(x+0 i)=$ .

Solve the equation by factoring: $x^{3}+5 x^{2}-4 x-20=0$ .

Solve the equation: $3x - 5x^{2} + 1 = x - 7$ .

How many trucks does a factory produce in 8 days at 18 trucks per day? Calculate $8 \times 18$ .

How many liters of alcohol are needed to make 500,000 patches if each contains $0.3 \mathrm{~mL}$ of alcohol?

Find the real and imaginary parts of $f(z)=z^{2}+i \bar{z}$ : $u(x, y)=$ and $v(x, y)=$ .

How many kg of aluminium hydroxide gel are needed for 250,000 bottles with 100 tablets each, if each tablet has $80 \mathrm{mg}$ ?

Find side $BC$ of triangle $ABC$ with $AB=8$ , $AC=8\sqrt{2}$ , $\angle ABC=45^{\circ}$ , $\angle ACB=30^{\circ}$ .

A 15-ml nasal spray has 20 sprays/ml, each with $1.5 \mathrm{mg}$ . (a) Total sprays? (b) Total mg of drug in the package?

Determine if a perfect hedge exists using the matrix $A$ and vector $b$ . Solve for $\hat{x}$ using $\hat{x}=(A^{} A)^{-1} A^{} b$ .

Find $\lim _{x \rightarrow 0} f(x+0 i)$ and $\lim _{y \rightarrow 0} f(0+i y)$ for $f(z)=\frac{z+\bar{z}}{z}$ .

Evaluate the limit as $x$ approaches 0: $\lim _{x \rightarrow 0} \frac{x^{2}-25}{x^{2}-4 x-5}$ .

Calculate $12 / 20$ and find the missing number in the sequence: 100, 93, 84, 73.

Find the next number in the sequence: $6, 3, 12, 9, 36, 33$ .

True or false: For a population proportion confidence interval, we use $\mathrm{z}$ -distribution, not $\mathrm{t}$ -distribution.