Please answer the following question down below. (25 points)

2a+4(7+5a)I need help

kolezko [41]

2a+4(7+5a)

Distribute 4 into 7 and 5a

2a+28+20a

Combine like terms

Final Answer: 22a+28

6 0

3 years ago

Read 2 more answers

frank is going to plant b vegetable seeds in one garden and 4b + 7 vegetable seeds in another. How many seeds is Frank going to

Kruka [31]

4b + 7 + b

5b + 7 is the simplest version.

3 0

3 years ago

What is the equation of the line that passes through the point (4,3) and has a slope<br> of 1?

Mamont248 [21]

Answer (<u>assuming it can be in point-slope form)</u>:

$y-3 = 1(x-4)$

Step-by-step explanation:

Use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line. Substitute real values for $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute 1 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, substitute the x and y values of (4,3) in its place. Substitute 4 for $x_1$ and 3 for $y_1$ . This gives the following equation and answer in point-slope form:

$y-3 = 1(x-4)$

5 0

3 years ago

A car travels at an average speed of 68 miles per hour. how many miles does it travel in 5 hours and 15 minutes?

blagie [28]

Distance = rate times time. Thus,

d = (68 mph) (5.25 hrs) = 357 miles (answer)

5 0

3 years ago

Let R be the region bounded by

loris [4]

a. The area of $R$ is given by the integral

$\displaystyle \int_1^2 (x + 6) - 7\sin\left(\dfrac{\pi x}2\right) \, dx + \int_2^{22/7} (x+6) - 7(x-2)^2 \, dx \approx 9.36$

b. Use the shell method. Revolving $R$ about the $x$ -axis generates shells with height $h=x+6-7\sin\left(\frac{\pi x}2\right)$ when $1\le x\le 2$ , and $h=x+6-7(x-2)^2$ when $2\le x\le\frac{22}7$ . With radius $r=x$ , each shell of thickness $\Delta x$ contributes a volume of $2\pi r h \Delta x$ , so that as the number of shells gets larger and their thickness gets smaller, the total sum of their volumes converges to the definite integral

$\displaystyle 2\pi \int_1^2 x \left((x + 6) - 7\sin\left(\dfrac{\pi x}2\right)\right) \, dx + 2\pi \int_2^{22/7} x\left((x+6) - 7(x-2)^2\right) \, dx \approx 129.56$

c. Use the washer method. Revolving $R$ about the $y$ -axis generates washers with outer radius $r_{\rm out} = x+6$ , and inner radius $r_{\rm in}=7\sin\left(\frac{\pi x}2\right)$ if $1\le x\le2$ or $r_{\rm in} = 7(x-2)^2$ if $2\le x\le\frac{22}7$ . With thickness $\Delta x$ , each washer has volume $\pi (r_{\rm out}^2 - r_{\rm in}^2) \Delta x$ . As more and thinner washers get involved, the total volume converges to

$\displaystyle \pi \int_1^2 (x+6)^2 - \left(7\sin\left(\frac{\pi x}2\right)\right)^2 \, dx + \pi \int_2^{22/7} (x+6)^2 - \left(7(x-2)^2\right)^2 \, dx \approx 304.16$ <em />

d. The side length of each square cross section is $s=x+6 - 7\sin\left(\frac{\pi x}2\right)$ when $1\le x\le2$ , and $s=x+6-7(x-2)^2$ when $2\le x\le\frac{22}7$ . With thickness $\Delta x$ , each cross section contributes a volume of $s^2 \Delta x$ . More and thinner sections lead to a total volume of

$\displaystyle \int_1^2 \left(x+6-7\sin\left(\frac{\pi x}2\right)\right)^2 \, dx + \int_2^{22/7} \left(x+6-7(x-2)^2\right) ^2\, dx \approx 56.70$

7 0

1 year ago