Math

Problem 65901

Determine the determinant $D=\left|\begin{array}{ccc}0 & 5 & 2 \\ 4 & -3 & 0 \\ 2 & 4 & 2\end{array}\right|$
Let $\vec{u}=(3,-1,2)$ and $\vec{v}=(4,1,1)$ . Normalize the vector $\vec{u}$ . Determine the cosines of the angles between $\vec{u}$ and

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Problem 65902

3). Evaluate by changing of the ordrof integration. (a) $\int_{0}^{2} \int_{1}^{e^{x}} d y d x$ (b) $\int_{0}^{1} \int_{x^{2}}^{2-x} x y d x d y$ (c) $\int_{0}^{4 a} \int_{x / 4 a}^{2 \sqrt{a x}} d y d x$ .

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Problem 65903

$\qquad$ 一、(本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the I and U labeled in the circuit.
Fig. a
Fig. b

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Problem 65904

得分二、 (本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the Vo labeled in the circuit.

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Problem 65905

得分
4. (15) Determine IBQ, ICQ and Vo CEQ. 6kQ 2ΚΩ www www Q16V 1kQ B=200 VCEQ IBQ 2ΚΩ

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Problem 65906

be Л. (此 10 分) $R_{1}=2 \mathrm{k} \Omega, \mathrm{R}_{2}=3 \mathrm{k} \Omega, \mathrm{R}_{3}=4 \mathrm{k} \Omega, \mathrm{R}_{4}=12 \mathrm{k} \Omega$ . Determine the reldionship of $\mathrm{V}_{0}$ and $\mathrm{V}_{1}, \mathrm{~V}_{2}, \mathrm{~V}_{3}$ .

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Problem 65907

目分六、(本题 20 分) $R_{D}=3 \mathrm{k} \Omega, R_{G}=10 \mathrm{M} \Omega, V_{G G}=2 \mathrm{~V}, V_{D D}=15 \mathrm{~V}, I_{D S S}=8 \mathrm{~mA}, V_{P}=4 \mathrm{~V}$ . (1) Calculate DC bias $V_{G S}, I_{D}$ , and $V_{D S}$ . (2) Draw the equivalent circuit for $A C$ analysis, and determine $\mathrm{g}_{\mathrm{m}}, \mathrm{Z}_{\mathrm{i}}, \mathrm{Z}_{0}$ and $\mathrm{A}_{\mathrm{v}}$ .

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Problem 65908

$f(x)=x e^{x}-x$ is concave up ou?

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Problem 65909

8. If $f(x)=\left\{x^{2}+3\right.$ (A) $a=1, b=3$ (B) $\frac{1}{7}$ (C) $\frac{1}{3}$ (D) $\frac{1}{3}$ (B) $\left.a=\begin{array}{c}x<0 \\ 3, b=0\end{array}\right\}$ and $f(x)$ is differentiable at $x=0$ , then: (C) $a=3, b=1$ (D) $a=0, b=3$ $\begin{array}{lll}\text { (A) } x=\ln 2 & \text { (B) } x=\ln 5 & \text { (C) } x=\ln 3\end{array}$ (D) $x=2 \ln 5$

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Problem 65910

$\qquad$ (D) $y=0$

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Problem 65911

- A është vlerësues i pazhvendosur? Pse? 5.24. Shqyrtojmë shpërndarjen eksponenciale të zhvendosur me densitet $f(x)=\lambda e^{-\lambda(x-s)}$ $k u X \geq 5$ . Gjeni me anë të metodës së përgjasisë maksimale një vlerësues për $\lambda$ ?

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Problem 65912

v. Solve the following. 1) Radha buys 2 kg 500 g of carrot, 2 kg 500 g of brinjal and 3 kg 250 g of tomatoes from a vegetable shop. Find the total weight of vegetables bought by her. hi.w 2) A merchant has 68 kg 250 g of wheat Subhthat 15 kg 250 g of wheat to one customer with him. He sells another customer. What is the weight of 13 kg 500 g to with him? 3) The yield of paddy per acre is Rachappa has 30 acre is 29 quintals and 50 kg . paddy? 4) 18 kg 400 g of sugar is to be packed in 4 bags equally. What is the weight of each bag? 5) A farmer gets 60 kg 400 g of of onion from one field and 56 kg 800 g from another field. If he sells 98 kg 200 g of onion, find the weight of onions left with him.

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Problem 65913

تمسرين010: ( ش. ت. م 2011 ) (1 $A=2 x^{2}-7 x+3+(2 x-1)(3 x+2): A$ A $A$ $(2 x-1)(4 x-1)=0$ : ( 3

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Problem 65914

Personal Finance Problem LG2 P5-6 Time value As part of your financial planning, you wish to purchase a nem actly 5 years from today. The car you wish to purchase costs $\$ 14,000$ today, 2 , your research indicates that its price will increase by $2 \%$ to $4 \%$ per year overth next 5 years. a. Estimate the price of the car at the end of 5 years if inflation is (1) $2 \%$ perped and (2) $4 \%$ per year. b. How much more expensive will the car be if the rate of inflation is $4 \%$ rathe than $2 \%$ ? c. Estimate the price of the car if inflation is $2 \%$ for the next 2 years and $4 \%$ s. 3 years after that.

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Problem 65915

E3 divide numbers ending in zerse ward prublems Giff video quest ansure
Kate bought a large carton of printer paper from an office supply store. The carton has 8 packs of paper and 5,600 sheets in all. How many sheets of paper are in each pack? 4 $\square$ sheets of paper subrnit

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Problem 65916

Q1: A) Prove that $\left[\frac{5}{3-w}-\frac{5}{3-w^{2}}\right]^{2}=-\frac{75}{169}$

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Problem 65917

B) If the function $f(x)=a x^{3}-3 x^{2}+b x+c$ has a local minimum at -5 and a local maximum at $x=\frac{-1}{2}$ and inflection point at $x=\frac{1}{4}$ find $a, b, c \in R$ .

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Problem 65918

Q2: A)Find the equation of the hyperbola whose center is at the origin and one of its foci is the focus of the parabola whose equation is $y^{2}+16 x=0$ and hyperbola passes through at the point $(6,2 \sqrt{2})$

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Problem 65919

B) If $z=\cos 2 \theta+i \sin 2 \theta$ prove that $\frac{Z+1}{Z-1}=-i \cot \theta$

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Problem 65920

Q3: A) Let M be a point moving on the curve $y^{2}=x^{3}$ such that rate of change the point $M$ getting away from of the origin point is 4 unit $/ \mathrm{s}$ . Find the rate of chang of the x -coordinate for M when $x=2$

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Problem 65921

$\begin{array}{r}A+B+C=0 \\ 5 A+4 B+C+D=0 \\ 10 A+6 B+D=2 \\ 6 A=1\end{array}$

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Problem 65922

Q22 Solve the linear congruence $13 x \equiv 2(\bmod 2 \cdot 3.5)$ by solving the system $\begin{array}{l} 13 x \equiv 2(\bmod 2) \\ 13 x \equiv 2(\bmod 3) \\ 13 x \equiv 2(\bmod 5) \end{array}$

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Problem 65923

3) ما عدد مولات الأكسين في مول واحد من CaCO $_{3}^{\text {؛ }}$

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Problem 65924

$\lim _{x \rightarrow 0^{+}} x-1-\frac{2 \ln x^{2}}{\sqrt{x}}$

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Problem 65925

$\begin{array}{l}A+B=0 \\ B+C=-3 \\ A+C=0\end{array}$

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Problem 65926

$\int_{0}^{1} \int_{0}^{y^{2}} \sqrt{1+y^{3}} d x d y$

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Problem 65927

Deduce the solutions of the following equations: i. $x^{4}-5 x^{2}-6=0$ ii. $x-5 \sqrt{x}-6=0$

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Problem 65928

Solve for the legs of the 45-45-90 triangle. a. $x=5$ and $y=5$ b. $x=5$ and $y=5 \sqrt{2}$ c. $x=5 \sqrt{2}$ and $y=5$ d. $x=5 \sqrt{2}$ and $y=5 \sqrt{2}$

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Problem 65929

Solve for the long leg and for the hypotenuse of the $30-60-90$ thangle. a. $a=20$ and $b=10$ b. $a=20$ and $b=10 \sqrt{3}$ c. $a=10$ and $b=10 \sqrt{3}$ d. $a=10 \sqrt{3}$ and $b=20$

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Problem 65930

2.) Jackson spent $\frac{2}{6}$ of his money on a sweatshirt, $\frac{5}{12}$ of his money on a pair of sneakers, and $\frac{1}{6}$ of his money on a pair of pants. What fraction of his money did Jackson spend in all?

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Problem 65931

c.) $\frac{6}{8}=$ $\square$

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Problem 65932

$\angle \mathrm{LMN}=$ $\qquad$ Super Teacher Worksheets - $\boldsymbol{V}$

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Problem 65933

A tank is $60 \mathrm{~cm}$ long, $50 \mathrm{~cm}$ wide, with 3 cubes of edge $10 \mathrm{~cm}$ . It fills at 10 L/min for 6 min. Find height.

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Problem 65934

A shark dives 5.5 m, then 3.5 m. What is its depth relative to the start? Answer negative if deeper. Type your answer in meters.

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Problem 65935

Calculate the quotient and remainder for $593 \div 36$ using only basic calculator operations.

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Problem 65936

Calculate $\frac{5}{4}-\frac{5}{12}$ and express the answer as a mixed number.

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Problem 65937

Solve the inequality $3x + 3 \geq x + 6$ and express the solution in interval notation.

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Problem 65938

Calculate $\frac{2}{8} - \frac{9}{2}$ and express your answer as a mixed number.

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Problem 65939

Add: $-\frac{4}{8}+\frac{5}{3}$ . Enter your answer as a mixed number (e.g., $11 / 2$ ).

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Problem 65940

What type of interval is represented by the inequality $-2 \leq x < 6$ ?

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Problem 65941

Calculate: $\frac{2}{8}-\frac{9}{2}$ without using a calculator.

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Problem 65942

Given the numbers: 7, 5, 7, 8, 9, 8, 1, 4, 5, 2. If 2 is replaced by 4, how does the median change?

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Problem 65943

Graph the solution for the inequality $x \geq -5$ .

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Problem 65944

Find the slope and $y$ -intercept of the line given by the equation: $-3x - 5y = -20$ .

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Problem 65945

Find the mean decrease when 1 replaces a 7 in the set {7, 8, 7, 7, 6, 1}.

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Problem 65946

Find the ball's velocity when it first reaches $880 \mathrm{ft}$ , given $s(t)=-16 t^{2}+256 t$ .

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Problem 65947

Calculate the proportion of each survey response on job security and round to two decimal places based on frequencies: Very likely (429), Fairly likely (481), Not too likely (1950), Not likely (4927).

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Problem 65948

Find the decrease in the median of the set {40, 60, 31, 75, 49, 60, 75} if one 75 is replaced by 53.

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Problem 65949

Find the slope of the line through points $(6,9)$ and $(4,5)$ using the slope formula. What is the slope?

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Problem 65950

Given the numbers 8, 3, 2, 7, 8, 9, 6, how much does the range decrease if 4 replaces 9?

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Problem 65951

Find the limit as $x$ approaches $\pi$ for $\sqrt{3+\cos 4x}$ .

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Problem 65952

In the set {1, 4, 1, 3, 1}, which number changes the most if 3 is replaced by 8?

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Problem 65953

Kathryn fills a $100 \mathrm{ft}^{3}$ container with sand at $1.25 \mathrm{ft}^{3} / \mathrm{min}$ . Find $V(t)$ and its domain.

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Problem 65954

Find the place value of the underlined digits in 652,831 and $3,879,000$ . Choices: A. Tens, B. Hundreds, C. Units, D. Hundred-thousands.

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Problem 65955

Determine which statistic (mean, median, or mode) changes most if one of the 80's in $\{80, 39, 35, 40, 80, 50\}$ is replaced with 50.

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Problem 65956

Convert the following to base ten numerals: a. $5 \cdot 10^{3}+1 \cdot 10^{2}+7 \cdot 10$ b. $6 \cdot 10^{6}+4 \cdot 10+3$

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Problem 65957

Simplify the expression $-3^{3}$ using exponent properties and show only positive exponents.

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Problem 65958

Write $1021_{\text {three }}$ in expanded form and convert it to base ten. Choose the correct expanded form.

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Problem 65959

Find the car's acceleration at $t=2$ seconds given $s(t)=2 t^{4}-10 t^{3}-5 t^{2}+9$ . Answer in $\mathrm{m} / \mathrm{s}^{2}$ .

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Problem 65960

Find the car's acceleration at $t=2$ seconds, given $s(t)=2 t^{4}-9 t^{3}-6 t^{2}-8$ .

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Problem 65961

Kathryn fills a $100 \mathrm{ft}^{3}$ container with sand at $1.25 \mathrm{ft}^{3}/\mathrm{min}$ . Find $V(t)$ for $t \in [0,4800]$ . Domain: $[0,80]$ , Range: ?

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Problem 65962

Find the interval(s) where the car slows down given $s(t)=-\frac{2 t^{3}}{3}+3 t^{2}+20 t-3$ , $t \geq 0$ .

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Problem 65963

How many more tickets were sold on Saturday than Friday if 1,073 were sold Friday and 2,042 on Saturday?

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Problem 65964

A student claims 0 is the identity for subtraction. How should you respond? Choose A, B, or C.

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Problem 65965

2 2. -4 $1-8$
4. $34-6$
3. 108 -3

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Problem 65966

Factoring numbers up to 100
Example: The factors of 18 ars $1.2 .3,8,8,9$ and 11 List the factors for each number. 1) 82 $\qquad$ 288 3) 5 $\qquad$ - 6 $\qquad$ 4) 47 $\qquad$ 4.8 $\qquad$ 7) 4 $\qquad$ - 23 9) 33 $\qquad$ (19) 93 11) 24 $\qquad$ 1232 13) 25 $\qquad$ 147 $\qquad$
15926 $\qquad$ 148 17) 22 $\qquad$ 14) 40 17) 69 $\qquad$ 2435

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Problem 65967

PS-58 Number of years needed to acccumulate a future amount For each of the following cases, determine the number of years it will take for the initial deposit to grow to equal the furure amount at the given interest rate.
CHAPTER 5 Time Value of Money 295 \begin{tabular}{cccc} Case & Initial deposit & Future amount & Interest rate \\ \hline A & $\$ 300$ & $\$ 1,000$ & $7 \%$ \\ B & 12,000 & 15,000 & 5 \\ C & 9,000 & 20,000 & 10 \\ D & 100 & 500 & 9 \\ E & 7,500 & 30,000 & 15 \end{tabular}

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Problem 65968

Q(3) The particular solution of the ODE $3 x(x y-2) d x+\left(x^{3}+2 y\right) d y=0, y(0)=2$ , is: (a) $x^{3} y+3 x^{2}+y^{2}=2$ b) $x^{3} y-3 x^{2}+y^{2}=2$ c) $x^{3} y-3 x^{2}+y^{2}=4$ (d) $x^{3} y-3 x^{2}-y^{2}=4$

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Problem 65969

Ir. Alaa borrows $\$ 5,000$ from a bank at 8 percent annually compounded terest to be repaid in five annual installments. repare an amortization schedule

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Problem 65970

( $O ; \vec{i}, \vec{j})$ ( $)$ (1) lim

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Problem 65971

Q5. Find $\frac{d y}{d x}$ when $2 x^{2}-y^{2}=5 x \sin (y)+2 a^{13}$

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Problem 65972

EXERCISE
1. UME 2906 Que 25 simplify (25) $\frac{1}{x} \times(27)^{\prime}+(121)^{-\frac{1}{2}} \times(625)^{-\frac{1}{4}}$

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Problem 65973

7. UME 2000 Que 9
Simplify $\frac{3\left(2^{n+1}\right)-4\left(2^{n-1}\right)}{2^{n+1}-2^{n}}$ a. $2^{n+1}$ b. $2^{n-1}$ c. 4

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Problem 65974

Find the eigenvalues and eigenvectors of $A=\left[\begin{array}{cc} 1 & -2 \\ 0 & 1 \end{array}\right]$
And then find:
1. The eigenvalues of $A^{-1}$ .
2. The eigenvalues of $A^{3}$ .
3. Spectrum and spectral radius.

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Problem 65975

\begin{align} \text{Given:} \\ \text{The length of the blue wall is } & 6 \text{ meters,} \\ \text{The width of the blue wall is } & 1.5 \text{ meters,} \\ \text{The length of the floor is } & 6 \text{ meters,} \\ \text{The width of the floor is } & 3 \text{ meters.} \\ \end{align}

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Problem 65976

Чему равны стороны прямоугольника, если его периметр равен 34 см, а площадь - 30 см² ?

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Problem 65977

الآمرين الثاني: (06 نقاط) $u_{0}+u_{1}=30 \quad, \quad u_{0} \times u_{2}=576$ . $n$ A 2

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Problem 65978

$\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}=1$

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Problem 65979

تمرين 1
باستعكال التُعريف اوجد مشُقة الدالة f في كل من الحالات التّالية
1. $f(x)=\sqrt{2 x+1}$ ,
2. $f(x)=\sqrt[3]{x}$ ,
3. $f(x)=\frac{-1}{x}$ .
تمرين 2
احسب مشّقة الدالة $f$ في كل من الحالات التّالية
1. $f(x)=\cos \sqrt{1-4 x}$ , 2. $f(x)=\ln \sqrt[4]{x-4}, 3$ . $f(x)=\ln \frac{x^{3}-2}{x^{2}+1}$ .
تصرين3
احسب النهايات التّلية $\lim _{x \rightarrow 0} \frac{6 x^{2}}{3 e^{x}-x^{3}-3 x-3} \quad, \quad \lim _{x \rightarrow 1} \frac{\sqrt{x+3}-2}{\sqrt{x+8}-3}$

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Problem 65980

What will the following code output? \begin{array}{l} \text { my_dict } \left.=f^{\prime} x^{\prime}=10, y^{\prime} y^{\prime}=20\right\} \end{array} print (result) a. $\left\{x^{2}: 5, y^{2}: 10\right\}$ b. $\left\{x^{2}: 20, y^{2}-40\right\}$ c $\left\{x^{2}: 10, y^{2}-20\right\}$ d. Raises an error

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Math

Problem 65901

Problem 65902

Problem 65903

\qquad一、(本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the I and U labeled in the circuit.Fig. aFig. b

Problem 65904

得分 二、 (本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the Vo labeled in the circuit.

Problem 65905

得分4. (15) Determine IBQ, ICQ and Vo CEQ. 6kQ 2ΚΩ www www Q16V 1kQ B=200 VCEQ IBQ 2ΚΩ

Problem 65906

Problem 65907

Problem 65908

f(x)=xex−xf(x)=x e^{x}-xf(x)=xex−x is concave up ou?

Problem 65909

Problem 65910

\qquad (D) y=0y=0y=0

Problem 65911

Problem 65912

Problem 65913

تمسرين010: ( ش. ت. م 2011 ) (1 A=2x2−7x+3+(2x−1)(3x+2):AA=2 x^{2}-7 x+3+(2 x-1)(3 x+2): AA=2x2−7x+3+(2x−1)(3x+2):A A AAA (2x−1)(4x−1)=0(2 x-1)(4 x-1)=0(2x−1)(4x−1)=0 : ( 3

Problem 65914

Problem 65915

E3 divide numbers ending in zerse ward prublems Giff video quest ansureKate bought a large carton of printer paper from an office supply store. The carton has 8 packs of paper and 5,600 sheets in all. How many sheets of paper are in each pack? 4 □\square□ sheets of paper subrnit

Problem 65916

Q1: A) Prove that [53−w−53−w2]2=−75169\left[\frac{5}{3-w}-\frac{5}{3-w^{2}}\right]^{2}=-\frac{75}{169}[3−w5​−3−w25​]2=−16975​

Problem 65917

B) If the function f(x)=ax3−3x2+bx+cf(x)=a x^{3}-3 x^{2}+b x+cf(x)=ax3−3x2+bx+c has a local minimum at -5 and a local maximum at x=−12x=\frac{-1}{2}x=2−1​ and inflection point at x=14x=\frac{1}{4}x=41​ find a,b,c∈Ra, b, c \in Ra,b,c∈R.

Problem 65918

Q2: A)Find the equation of the hyperbola whose center is at the origin and one of its foci is the focus of the parabola whose equation is y2+16x=0y^{2}+16 x=0y2+16x=0 and hyperbola passes through at the point (6,22)(6,2 \sqrt{2})(6,22​)

Problem 65919

B) If z=cos⁡2θ+isin⁡2θz=\cos 2 \theta+i \sin 2 \thetaz=cos2θ+isin2θ prove that Z+1Z−1=−icot⁡θ\frac{Z+1}{Z-1}=-i \cot \thetaZ−1Z+1​=−icotθ

Problem 65920

Q3: A) Let M be a point moving on the curve y2=x3y^{2}=x^{3}y2=x3 such that rate of change the point MMM getting away from of the origin point is 4 unit /s/ \mathrm{s}/s. Find the rate of chang of the x -coordinate for M when x=2x=2x=2

Problem 65921

A+B+C=05A+4B+C+D=010A+6B+D=26A=1\begin{array}{r}A+B+C=0 \\ 5 A+4 B+C+D=0 \\ 10 A+6 B+D=2 \\ 6 A=1\end{array}A+B+C=05A+4B+C+D=010A+6B+D=26A=1​

Problem 65922

Problem 65923

3) ما عدد مولات الأكسين في مول واحد من CaCO 3؛ _{3}^{\text {؛ }}3؛ ​

Problem 65924

lim⁡x→0+x−1−2ln⁡x2x\lim _{x \rightarrow 0^{+}} x-1-\frac{2 \ln x^{2}}{\sqrt{x}}limx→0+​x−1−x​2lnx2​

Problem 65925

A+B=0B+C=−3A+C=0\begin{array}{l}A+B=0 \\ B+C=-3 \\ A+C=0\end{array}A+B=0B+C=−3A+C=0​

Problem 65926

∫01∫0y21+y3dxdy\int_{0}^{1} \int_{0}^{y^{2}} \sqrt{1+y^{3}} d x d y∫01​∫0y2​1+y3​dxdy

Problem 65927

Deduce the solutions of the following equations: i. x4−5x2−6=0x^{4}-5 x^{2}-6=0x4−5x2−6=0 ii. x−5x−6=0x-5 \sqrt{x}-6=0x−5x​−6=0

Problem 65928

Solve for the legs of the 45-45-90 triangle. a. x=5x=5x=5 and y=5y=5y=5 b. x=5x=5x=5 and y=52y=5 \sqrt{2}y=52​ c. x=52x=5 \sqrt{2}x=52​ and y=5y=5y=5 d. x=52x=5 \sqrt{2}x=52​ and y=52y=5 \sqrt{2}y=52​

Problem 65929

Solve for the long leg and for the hypotenuse of the 30−60−9030-60-9030−60−90 thangle. a. a=20a=20a=20 and b=10b=10b=10 b. a=20a=20a=20 and b=103b=10 \sqrt{3}b=103​ c. a=10a=10a=10 and b=103b=10 \sqrt{3}b=103​ d. a=103a=10 \sqrt{3}a=103​ and b=20b=20b=20

Problem 65930

2.) Jackson spent 26\frac{2}{6}62​ of his money on a sweatshirt, 512\frac{5}{12}125​ of his money on a pair of sneakers, and 16\frac{1}{6}61​ of his money on a pair of pants. What fraction of his money did Jackson spend in all?

Problem 65931

c.) 68=\frac{6}{8}=86​= □\square□

Problem 65932

∠LMN=\angle \mathrm{LMN}=∠LMN= \qquad Super Teacher Worksheets - V\boldsymbol{V}V

Problem 65933

A tank is 60 cm60 \mathrm{~cm}60 cm long, 50 cm50 \mathrm{~cm}50 cm wide, with 3 cubes of edge 10 cm10 \mathrm{~cm}10 cm. It fills at 10 L/min for 6 min. Find height.

Problem 65934

A shark dives 5.5 m, then 3.5 m. What is its depth relative to the start? Answer negative if deeper. Type your answer in meters.

Problem 65935

Calculate the quotient and remainder for 593÷36593 \div 36593÷36 using only basic calculator operations.

Problem 65936

Calculate 54−512\frac{5}{4}-\frac{5}{12}45​−125​ and express the answer as a mixed number.

Problem 65937

Solve the inequality 3x+3≥x+63x + 3 \geq x + 63x+3≥x+6 and express the solution in interval notation.

Problem 65938

Calculate 28−92\frac{2}{8} - \frac{9}{2}82​−29​ and express your answer as a mixed number.

Problem 65939

Add: −48+53-\frac{4}{8}+\frac{5}{3}−84​+35​. Enter your answer as a mixed number (e.g., 11/211 / 211/2).

Problem 65940

What type of interval is represented by the inequality −2≤x<6-2 \leq x < 6−2≤x<6?

Problem 65941

Calculate: 28−92\frac{2}{8}-\frac{9}{2}82​−29​ without using a calculator.

Problem 65942

Given the numbers: 7, 5, 7, 8, 9, 8, 1, 4, 5, 2. If 2 is replaced by 4, how does the median change?

Problem 65943

Graph the solution for the inequality x≥−5x \geq -5x≥−5.

Problem 65944

Find the slope and yyy-intercept of the line given by the equation: −3x−5y=−20-3x - 5y = -20−3x−5y=−20.

$\qquad$ 一、(本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the I and U labeled in the circuit.
Fig. a
Fig. b

得分二、 (本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the Vo labeled in the circuit.

得分
4. (15) Determine IBQ, ICQ and Vo CEQ. 6kQ 2ΚΩ www www Q16V 1kQ B=200 VCEQ IBQ 2ΚΩ

$f(x)=x e^{x}-x$ is concave up ou?

$\qquad$ (D) $y=0$

تمسرين010: ( ش. ت. م 2011 ) (1 $A=2 x^{2}-7 x+3+(2 x-1)(3 x+2): A$ A $A$ $(2 x-1)(4 x-1)=0$ : ( 3

E3 divide numbers ending in zerse ward prublems Giff video quest ansure
Kate bought a large carton of printer paper from an office supply store. The carton has 8 packs of paper and 5,600 sheets in all. How many sheets of paper are in each pack? 4 $\square$ sheets of paper subrnit

Q1: A) Prove that $\left[\frac{5}{3-w}-\frac{5}{3-w^{2}}\right]^{2}=-\frac{75}{169}$

B) If the function $f(x)=a x^{3}-3 x^{2}+b x+c$ has a local minimum at -5 and a local maximum at $x=\frac{-1}{2}$ and inflection point at $x=\frac{1}{4}$ find $a, b, c \in R$ .

Q2: A)Find the equation of the hyperbola whose center is at the origin and one of its foci is the focus of the parabola whose equation is $y^{2}+16 x=0$ and hyperbola passes through at the point $(6,2 \sqrt{2})$

B) If $z=\cos 2 \theta+i \sin 2 \theta$ prove that $\frac{Z+1}{Z-1}=-i \cot \theta$

Q3: A) Let M be a point moving on the curve $y^{2}=x^{3}$ such that rate of change the point $M$ getting away from of the origin point is 4 unit $/ \mathrm{s}$ . Find the rate of chang of the x -coordinate for M when $x=2$

$\begin{array}{r}A+B+C=0 \\ 5 A+4 B+C+D=0 \\ 10 A+6 B+D=2 \\ 6 A=1\end{array}$

3) ما عدد مولات الأكسين في مول واحد من CaCO $_{3}^{\text {؛ }}$

$\lim _{x \rightarrow 0^{+}} x-1-\frac{2 \ln x^{2}}{\sqrt{x}}$

$\begin{array}{l}A+B=0 \\ B+C=-3 \\ A+C=0\end{array}$

$\int_{0}^{1} \int_{0}^{y^{2}} \sqrt{1+y^{3}} d x d y$

Deduce the solutions of the following equations: i. $x^{4}-5 x^{2}-6=0$ ii. $x-5 \sqrt{x}-6=0$

Solve for the legs of the 45-45-90 triangle. a. $x=5$ and $y=5$ b. $x=5$ and $y=5 \sqrt{2}$ c. $x=5 \sqrt{2}$ and $y=5$ d. $x=5 \sqrt{2}$ and $y=5 \sqrt{2}$

Solve for the long leg and for the hypotenuse of the $30-60-90$ thangle. a. $a=20$ and $b=10$ b. $a=20$ and $b=10 \sqrt{3}$ c. $a=10$ and $b=10 \sqrt{3}$ d. $a=10 \sqrt{3}$ and $b=20$

2.) Jackson spent $\frac{2}{6}$ of his money on a sweatshirt, $\frac{5}{12}$ of his money on a pair of sneakers, and $\frac{1}{6}$ of his money on a pair of pants. What fraction of his money did Jackson spend in all?

c.) $\frac{6}{8}=$ $\square$

$\angle \mathrm{LMN}=$ $\qquad$ Super Teacher Worksheets - $\boldsymbol{V}$

A tank is $60 \mathrm{~cm}$ long, $50 \mathrm{~cm}$ wide, with 3 cubes of edge $10 \mathrm{~cm}$ . It fills at 10 L/min for 6 min. Find height.

Calculate the quotient and remainder for $593 \div 36$ using only basic calculator operations.

Calculate $\frac{5}{4}-\frac{5}{12}$ and express the answer as a mixed number.

Solve the inequality $3x + 3 \geq x + 6$ and express the solution in interval notation.

Calculate $\frac{2}{8} - \frac{9}{2}$ and express your answer as a mixed number.

Add: $-\frac{4}{8}+\frac{5}{3}$ . Enter your answer as a mixed number (e.g., $11 / 2$ ).

What type of interval is represented by the inequality $-2 \leq x < 6$ ?

Calculate: $\frac{2}{8}-\frac{9}{2}$ without using a calculator.

Graph the solution for the inequality $x \geq -5$ .

Find the slope and $y$ -intercept of the line given by the equation: $-3x - 5y = -20$ .

Find the ball's velocity when it first reaches $880 \mathrm{ft}$ , given $s(t)=-16 t^{2}+256 t$ .

Find the slope of the line through points $(6,9)$ and $(4,5)$ using the slope formula. What is the slope?

Find the limit as $x$ approaches $\pi$ for $\sqrt{3+\cos 4x}$ .

Kathryn fills a $100 \mathrm{ft}^{3}$ container with sand at $1.25 \mathrm{ft}^{3} / \mathrm{min}$ . Find $V(t)$ and its domain.

Find the place value of the underlined digits in 652,831 and $3,879,000$ . Choices: A. Tens, B. Hundreds, C. Units, D. Hundred-thousands.

Determine which statistic (mean, median, or mode) changes most if one of the 80's in $\{80, 39, 35, 40, 80, 50\}$ is replaced with 50.

Convert the following to base ten numerals: a. $5 \cdot 10^{3}+1 \cdot 10^{2}+7 \cdot 10$ b. $6 \cdot 10^{6}+4 \cdot 10+3$

Simplify the expression $-3^{3}$ using exponent properties and show only positive exponents.

Write $1021_{\text {three }}$ in expanded form and convert it to base ten. Choose the correct expanded form.

Find the car's acceleration at $t=2$ seconds given $s(t)=2 t^{4}-10 t^{3}-5 t^{2}+9$ . Answer in $\mathrm{m} / \mathrm{s}^{2}$ .

Find the car's acceleration at $t=2$ seconds, given $s(t)=2 t^{4}-9 t^{3}-6 t^{2}-8$ .

Kathryn fills a $100 \mathrm{ft}^{3}$ container with sand at $1.25 \mathrm{ft}^{3}/\mathrm{min}$ . Find $V(t)$ for $t \in [0,4800]$ . Domain: $[0,80]$ , Range: ?

Find the interval(s) where the car slows down given $s(t)=-\frac{2 t^{3}}{3}+3 t^{2}+20 t-3$ , $t \geq 0$ .

2 2. -4 $1-8$
4. $34-6$
3. 108 -3

Ir. Alaa borrows $\$ 5,000$ from a bank at 8 percent annually compounded terest to be repaid in five annual installments. repare an amortization schedule

( $O ; \vec{i}, \vec{j})$ ( $)$ (1) lim

Q5. Find $\frac{d y}{d x}$ when $2 x^{2}-y^{2}=5 x \sin (y)+2 a^{13}$

EXERCISE
1. UME 2906 Que 25 simplify (25) $\frac{1}{x} \times(27)^{\prime}+(121)^{-\frac{1}{2}} \times(625)^{-\frac{1}{4}}$

7. UME 2000 Que 9
Simplify $\frac{3\left(2^{n+1}\right)-4\left(2^{n-1}\right)}{2^{n+1}-2^{n}}$ a. $2^{n+1}$ b. $2^{n-1}$ c. 4

Find the eigenvalues and eigenvectors of $A=\left[\begin{array}{cc} 1 & -2 \\ 0 & 1 \end{array}\right]$
And then find:
1. The eigenvalues of $A^{-1}$ .
2. The eigenvalues of $A^{3}$ .
3. Spectrum and spectral radius.