Mathematics Questions and Answers

7. Evaluate $\int 3 x^{3} \cos \left(x^{4}\right) d x$ 8. Evaluate $\int_{7}^{-7}-4 x^{5}-6 x^{3}+54 x d x$

What is the length of MN? $$ \begin{aligned} & A .12 \\ & B .8 \\ & C .4 \\ & D .16 \end{aligned} $$

What is the range of the function graphed below? $$ \begin{aligned} & \text { (1) } 1 \leq y<4 \\ & \text { (2) } 3<y \leq 3 \\ & \text { (3) } 2 \leq y \leq 3 \\ & \text { (4) } 3 \leq y<4 \end{aligned} $$

Which table represents a function? | Input (x) | -2 | 0 | 2 | 4 | 6 | | --- | --- | --- | --- | --- | --- | | Output (y) | 3 | 3 | 6 | 6 | 9 | | Input (x) | -5 | -5 | -5 | -5 | -5 | | --- | --- | --- | --- | --- | --- | | Output (y) | -5 | 0 | 5 | 10 | 15 | | Input (x) | -4 | -2 | -2 | -1 | 0 | | --- | --- | --- | --- | --- | --- | | Output (y) | 6 | 8 | 10 | 12 | 14 | | Input (x) | 10 | 20 | 30 | 30 | 40 | | --- | --- | --- | --- | --- | --- | | Output (y) | -5 | -6 | -7 | -8 | -9 |

**A computer randomly puts a point inside the rectangle. What is the probability that the point does not land in triangle T?**

Draw the graph of $$y = 2x + 1$$

# What is sinB? ## Express your answer as a fraction.

Which of the following functions has a horizontal asymptote at y = 2? | 10 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 2 | | 1 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | | -10 | -9 | -8 | -7 | -6 | -5 | -4 | -3 | -2 | -1 | 1 | | -2 | -2 | -3 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | -3 | -4 | -5 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | -4 | -5 | -6 | -7 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | | -5 | -7 | -8 | -9 | -10 | 1 | 2 | 3 | 4 | 5 | 6 | | -6 | -9 | -10 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | 10 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 2 | | 1 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | | -10 | -9 | -8 | -7 | -6 | -5 | -4 | -3 | -2 | -1 | 1 | | -2 | -2 | -3 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | -3 | -4 | -5 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | -4 | -5 | -6 | -7 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | | -5 | -7 | -8 | -9 | -10 | 1 | 2 | 3 | 4 | 5 | 6 | | -6 | -9 | -10 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | 10 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | 2 | | 1 | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 | | -10 | -9 | -8 | -7 | -6 | -5 | -4 | -3 | -2 | -1 | 1 | | -2 | -2 | -3 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | -3 | -4 | -5 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | | -4 | -5 | -6 | -7 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | | -5 | -7 | -8 | -9 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | | -6 | -9 | -10 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

Which angle in $\triangle X Y Z$ has the largest measure? A. $\angle X$ B. $\angle Y$ C. $\angle Z$ D. Cannot be determined

# Question 4 What should be entered to make the loop print 60 70 80 $$ x=50 $$ while $(x<80)$ : $x=x+$ $\qquad$ print $(x)$

"Becky is offered the two deals below: Deal 1: She will get a quarter on the first day of the week. Each day thereafter for one week, she will receive double what she received on the previous day. Deal 2: She will get $4 each day for 1 week. Which statement is true in every aspect regarding these two deals? A. She should go with deal 1 because mc026-1.jpg is greater than mc026-2.jpg by $3.75. B. She should go with deal 1 because mc026-3.jpg is greater than mc026-4.jpg by $35.50. C. She should go with deal 2 because mc026-5.jpg is greater than mc026-6.jpg by $27.33. D. She should go with deal 2 because mc026-7.jpg is greater than mc026-8.jpg by $48.50."

# What is the measure of ∠C? - A. 60° - B. 30° - C. 90°

# Which equation is NOT a linear function? $$ \begin{gathered} y=5 x \\ y=x^{2}-2 \end{gathered} $$ $$ y=-4 x-12 $$ $$ y=17 $$

This table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group is female and attended an action movie? | | Action | Drama | Total | | --- | --- | --- | --- | | Male | 105 | 124 | 229 | | Female | 99 | 151 | 250 | | Total | 204 | 275 | 479 | A. 0.49 B. 0.99 C. 0.43 D. 0.21

5. 定义 $f(0,0)$ 的值, 使 $f$ 在原点连续. Define $f(0,0)$ in a way that extends $f$ to be continuous at the origin. $$ f(x, y)=\ln \left(\frac{3 x^{2}-x^{2} y^{2}+3 y^{2}}{x^{2}+y^{2}}\right) $$ # 2.2. 位移数, Partial Derivatives

Which measurement is equal to $2 \frac{1}{2}$ gallons? O A. 20 pints O B. 24 fluid ounces O C. 28 cups O D. 160 fluid ounces

# Find the slope of the lines graphed below

1. Which of the following are exponential functions? $$ \begin{aligned} & \square f(x)=10^{4+3 x} \\ & \text { - } f(x)=(-5)^{x} \\ & \square f(x)=\left(\frac{1}{x}\right)^{6} \\ & \text { - } f(x)=\left(\frac{1}{4}\right)^{-2 x} \end{aligned} $$

# Question 2 of 10 Multiple Choice: Please select the best answer and click "submit." What are the sides of $\triangle P Q R$ ? $\square$ A $\quad \angle P, \angle Q$, and $\angle R$ $\square$ B $P Q, Q R$, and $P R$ $\square$ C $P, Q$, and $R$ $\square$ D None of these

"Write an expression for the sequence of operations described below: Raise 3 to the 9th power, subtract the result from t, then double what you have. DO NOT SIMPLIFY ANY PART OF THE EXPRESSION."

$T$ is a point on segment $\overline{S U}$. If $S T=10.6$ and $T U=6.2$, what is $S U$ ? Write your answer as a decimal or integer. # Submit

Which function is shown in the graph below?

What is the solution to the equation shown below? $$ \frac{3}{x-2}+6=\sqrt{x-2}+8 $$ # $\bigcirc x=3$ $\bigcirc x=9$ $\bigcirc x=4.6$ $\bigcirc x=1.6$

What are the first six digits of the mathematical sign π?

"Which choice correctly shows the solution(s) of the equation x2 = 400? A. x=20 B. x=−20 C. x=±20 D. x=400"

The expression $s^{2}$ is used to calculate the area of a square, where $s$ is the side length of the square. What does the expression $(8 x)^{2}$ represent? a. the area of a square with a side length of 8 b. the area of a square with a side length of 16 c. the area of a square with a side length of $4 x$ d. the area of a square with a side length of $8 x$ 5. Students at a bake sale sell bags of cookies

What is the simplified form of the following expression? 5√8 - √18- 2√2

Write the quadratic function in the form $f(x)=a(x-h)^{2}+k$. Then, give the vertex of its graph. $$ f(x)=2 x^{2}+20 x+52 $$ Writing in the form specified: $f(x)=\square$ Vertex: $(\square \square)$

# Find the approximate diameter of the cylinder. diameter = *Round to the nearest whole number Volume = 7599 m³

"To find a coterminal angle, you must add or subtract 180 degrees to the original angle. True False"

# Which polynomial is in standard form? $$ \begin{aligned} & 12 x-14 x^{4}+11 x^{5} \\ & -6 x-3 x^{2}+2 \\ & 11 x^{3}-6 x^{2}+5 x \\ & 14 x^{9}+15 x^{12}+17 \end{aligned} $$

What is 1+1+1+1 in binary addition ?

"Question content area top Part 1 Use   PMT=Prn1−1+rn−nt    to determine the regular payment​ amount, rounded to the nearest dollar.The price of a home is $340,000. The bank requires a 5​% down payment. After the down​ payment, the balance is financed with a 15​-year ​fixed-rate mortgage at 7​%. Determine the monthly mortgage payment​ (excluding escrowed taxes and​ insurance) to the nearest dollar."

33. If $|\mid I, m \angle 1=135^{\circ}, m \angle 2=55^{\circ}$, and $m \angle 3=45^{\circ}$, let all other parallel lines. Justify your answers. Find the value of $x$ that makes $/ \| k$. State the converse that justifies your answer. Converse:

# 4th Meeting Activity: Figure 7.34a ## Part A ### Step 1: A 30-minute walk to the top of the road. ## 5th Meeting Activity: Figure 7.34b ## Part A ### Step 1: A 30-minute walk to the top of the road. ## 6th Meeting Activity: Figure 7.34c ## Part A ### Step 1: A 30-minute walk to the top of the road.

Solve for h. h+(6/5) = 2

How do you find the area of a trapezoid without the height?

# Question 10 of 25 Multiple Response: Please select all correct answers and click "submit." If WXYZ is a square, which statements must be true? Check all that apply. $\square$ A. WXYZ is a parallelogram. $\square$ B. $\angle W$ is a right angle. $\square$ C. WXYZ is a trapezoid. $\square$ D. $W X \cong X Y$ $\square$ E. $\angle W$ is congruent to $\angle Y$. $\square$ F. $\angle W$ is supplementary to $\angle Y$.

# Which is the net for this rectangular prism?

# Similarity and Ratios ## Step-by-step guide: $\checkmark$ Two or more figures are similar if the corresponding angles are equal, and the corresponding sides are in proportion. ## Examples: 1) A girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post? Write the proportion and solve for missing side. $\frac{\text { Smaller triangle height }}{\text { Smaller triangle base }}=\frac{\text { Bigger triangle height }}{\text { Bigger triangle base }}$ $\Rightarrow \frac{90 \mathrm{~cm}}{160 \mathrm{~cm}}=\frac{90+360 \mathrm{~cm}}{x} \Rightarrow 90 x=160 \times 450 \Rightarrow x=800 \mathrm{~cm}$ 2) A tree 32 feet tall casts a shadow 12 feet long. Jack is 6 feet tall. How long is Jack's shadow? Write a proportion and solve for the missing number. $\frac{32}{12}=\frac{6}{x} \rightarrow 32 x=6 \times 12=72$ $32 x=72 \rightarrow x=\frac{72}{32}=2.25$ feet