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vlabodo [156]
2 years ago
14

This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!

Mathematics
1 answer:
Andre45 [30]2 years ago
4 0

Step-by-step explanation:

29 {}^{ \frac{x}{2} }

((29) {}^{ \frac{1}{2} } ) {}^{x}

The answer is A

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Find the service area of a cylinder with a base diameter of 6ft and height of 4ft
tatiyna

The service area of the cylinder is 42\pi square fts.

<h3>What is cylinder?</h3>

Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.

Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

The uses of cylinder are-

  • A popular piece of scientific equipment used to determine the volume of a liquid is a graduated cylinder, sometimes referred to as a measuring cylinder or mixing cylinder.
  • Its form is slender and cylindrical. The measured amount of liquid is shown by each marked line on the graduated cylinder.

Total surface area of the cylinder formula:

It is the sum of the base surface area and the lateral surface area;

Total area = base area + lateral area , or

Total area = 2 π r² + (2 π r) h , or

Total area = 2 π r (r + h)

Calculation for the total area of the cylinder;

Base diameter is 6 ft

Radius is 6/2 = 3 ft

Height is 4 ft

Total area = 2\pi3(3 + 4)

                 = 6\pi×7

                 = 42\pi

Therefore, the total surface area of the cylinder is 42\pi square fts.

To know more about the surface area of the cylinder, here

brainly.com/question/10332927

#SPJ4

5 0
2 years ago
If f(x)=x^3−x, what is the average rate of change of f(x) over the interval [1, 5]? a)29.5 b)30 c)43 d)120
avanturin [10]
\bf slope = m = \cfrac{rise}{run} \implies &#10;\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby &#10;\begin{array}{llll}&#10;average~rate\\&#10;of~change&#10;\end{array}\\\\&#10;-------------------------------\\\\&#10;f(x)= x^3-x  \qquad &#10;\begin{cases}&#10;x_1=1\\&#10;x_2=5&#10;\end{cases}\implies \cfrac{f(5)-f(1)}{5-1}&#10;\\\\\\&#10;\cfrac{[5^3-5]~-~[1^3-1]}{4}\implies \cfrac{125-5~~-~~0}{4}\implies \cfrac{120}{4}\implies 30
7 0
3 years ago
Please help meeeeeee.
Illusion [34]

The answer to the math problem is 8y^12

3 0
2 years ago
Can someone help me with this question please
erastovalidia [21]

for 1st

use the formula of inlargement

A(x,y)when enlarging by scale factor k gives A'(kx,ky)

for 2nd

a=

(2a+3)-(a-5)(2a+2)+a^2

b=

3y(7y-8)

3 0
3 years ago
1. A trapezoid has an area of 91 m2. The height of the trapezoid is 7 m and the measure of one base is twice the height. What is
Lynna [10]
The area of the trapezoid is given by:
 A = (1/2) * (b1 + b2) * (h)
 Where,
 b1, b2: bases of the trapezoid
 h: height
 Substituting values we have:
 91 = (1/2) * ((2 * 7) + b2) * (7)
 Rewriting we have:
 91 = (1/2) * (14 + b2) * (7)
 (2/7) * 91 = 14 + b2
 b2 = (2/7) * 91 - 14
 b2 = 12 m
 Answer:
 
The measure of the other base of the trapezoid is:
 
b2 = 12 m
6 0
3 years ago
Read 2 more answers
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