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adelina 88 [10]
3 years ago
11

I need help with this problem ​

Mathematics
2 answers:
IrinaVladis [17]3 years ago
5 0

Answer:

367.57 in³

Step-by-step explanation:

The formula for the volume of a cylinder is  V = h\pi r^2, where V is the volume, h is the height, and r is the radius. The picture shows you that r = 3 in and h = 13 in.

Plug these into the formula to find the answer:

V = (13)\pi 3^2=(13)(9)\pi =117\pi => 367.566

Round that to the nearest hundredth to get 367.57. The units for the answer should be in cubic inches.

For the surface area, imagine laying the cylinder out. You'd see two circles, for the top and bottom, and then a rectangle, which is the side. The formula is A=2πrh+2πr². Try to do this yourself! You only need to plug in the values: r = 3 in and h = 13 in.

Vladimir [108]3 years ago
5 0
Ahellooooooooooooooooooooo
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The exponential function f(x) = 2^x undergoes two transformations to
Eddi Din [679]

Option A: It is vertically stretched

Option B: it is shifted down

Solution:

The exponential function f(x)=2^{x}undergoes two transformations to   g(x)=5 \cdot 2^{x}-3.

<u>To determine how the graph changes:</u>

Consider the given exponential function f(x)=2^{x}.

Let y = f(x)

Vertically compressed or stretched:

A vertically compression (stretched) of a graph is compressing the graph toward x-axis.

• if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.

• if 0 < k < 1 if 0 < k < 1 , the graph is f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.  

• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.  

Here, k = 5  

So the graph will be vertically stretched.

Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.

So, The graph is shifted down.  

Hence option A and option B is the correct answer.

5 0
3 years ago
Please Help!
Flura [38]
Let x be the length of the train.

On the basis of the observer;
Speed of the train = x/6

On the basis of the bridge;
Total distance covered by any point of the train= 350+x
Speed = (350+x)/20

Equating the two expressions of speed;
x/6 = (350+x)/20
20(x) = 6(350+x)
20x = 2100+6x
(20-6)x = 2100
14x = 2100
x= 2100/14 = 150 m
Speed = x/6 = (350+x)/20 = 150/6 = 500/20 = 25 m/s.

Therefore,
Length of train = 150 m
Speed of train = 25 m/s
8 0
3 years ago
How do I find the area of a circle and the radius is 4
Virty [35]
Area= pi(radius)squared
6 0
3 years ago
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Help help help!!!!!!!!!!!
barxatty [35]
D.) It is not correct because the second number tells you how far to go up or down, not across.

Second number represents y-coordinates, so they are the points in vertical direction, in that case you can't move in x-axis which is horizontal.

Hope this helps!
4 0
3 years ago
Read 2 more answers
D=a/a+12*M. The adult weighs 75 kg. Calculate the adults weight in kilograms to pounds. Round final answer 2 decimal places
andrew-mc [135]

An adult with a weight of 75 kilograms have an <em>equivalent</em> weight of 165.60 pounds.

<h3>How to convert kilograms to pounds</h3>

Herein we have an application of <em>unit</em> conversions between <em>weight</em> units, from kilograms to pounds. Unit conversions follow this <em>direct proportional</em> formula:

y = k · x

Where:

x - Weight in kilograms

y - Weight in pounds

k - Conversion ratio

If we know that x = 75 kg and k = 2.208 lb/kg, then the weight of the adult in pounds is:

y = (2.208 lb/kg) · (75 kg)

y = 165.6 lb

An adult with a weight of 75 kilograms have an <em>equivalent</em> weight of 165.60 pounds.

To learn more on weight units: brainly.com/question/18762697

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5 0
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