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3 years ago

Help quick Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

6 0

Answer:

k = -3

Step-by-step explanation:

F(x) has a positive slope

g(x) has a negative slope

Let x = -3

The y value goes from 1 to -3

g(x) = k⋅f(x)

-3 = k(1)

-3 = k

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last year,about 2400 people particapted ina local Fourth of July parade. This year,about 3200 people participated. What was the

skad [1K]

3200-2400=800 peoples

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3 years ago

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

6 0

3 years ago

Read 2 more answers

Please and thank you so much!

Amiraneli [1.4K]

Answer:

sorry i don't know the answer

Step-by-step explanation:

3 0

3 years ago

What is the equation of a line that passes through the points (0,5) and (4,8)?

nikdorinn [45]

A linear function has the form y=mx+b
if you insert the point (0,5) in this you receive:
5=m*0+b
5=b
(remember b is the distance to the x axis at x=0, so you can read it directly of)

To get m you insert (4,8) and the previous b:
8=m*4+5
3=4m
3/4=m

your line is: y=3/4x+5

(also this question is a duplicate of #3469085 by you :) )

7 0

3 years ago

Find the surface area of the figure. A) 242in2 B) 262in2 C) 278in2 D) 287in2

klio [65]

Answer:

287 in²

Step-by-step explanation:

The figure given is a combination of a cube and a rectangular prism. The formula for the volume of a rectangular prism is:

SA = 2(ab) + 2(ac) + 2(bc), where 'a', 'b' and 'c' are the measures of the prism.

The formula for the volume of a cube is:

SA = 6s², where 's' is the measure of the side of a cube

Prism: SA = 2(3*3) + 2(3*12) + 2(3*12) = 18 + 72 + 72 = 162 in²

Cube: SA = 6(5)² = 150 in²

Since the prism is stacked on top of one of the sides of the cube, you can subtract one of the sides since it is overlapping:

150 - 25 = 125 in²

total surface area: 125 + 162 = 287 in²

8 0

3 years ago