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3 years ago

Plot a point at the y-intercept pf the following function on the graph provided. 3y= -5^x+7

Mathematics

1 answer:

Brums [2.3K]3 years ago

4 0

Answer:

y-intercept: (0, 2)

Step-by-step explanation:

By graphing the equation into a graphing calc, you can trace the graph to where the y-int is located and you have your answer of (0, 2)

Alternatively, you could set x equal to zero and solve algebraically to find the y-int. However, if you are under a time crunch, graphing will be the faster way to go.

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Kipish [7]

What’s the other number?

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4 years ago

Find the value of xfind the value of 6 x by 3

Mumz [18]

Answer:

Step-by-step explanation:

thank you

that's all

8 0

3 years ago

EMERGENCY! How many cubes with side lengths of 1/2 cm does it take to fill the prism?

Sati [7]

Answer:

24 cubes

Step-by-step explanation:

You can figure this a couple of ways.

I usually find it easiest to figure in terms of the number of cubes each dimension represents. The vertical dimension (3/2 cm) is the length of 3 cubes; the front-back dimension (2 cm) is the length of 4 cubes, and the width (1 cm) is the length of 2 cubes.

The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.

Another way to figure this is to compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.

Prism volume = l×w×h = (2 cm)(1 cm)(3/2 cm) = 3 cm³

Cube volume = (1/2 cm)³ = 1/8 cm³

Then the number of cubes that will fit in the prism is ...

(3 cm³)/(1/8 cm³) = 3×8 = 24 . . . . cubes

6 0

4 years ago

the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years

Yuliya22 [10]

Answer: 125 g

Step-by-step explanation:

$A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k$

$\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125$

8 0

4 years ago

Given the regular hexagon, find the measure of each numbered angle.

DENIUS [597]

I believe that the answer would be C. because each triangle that is “broken up” in the hexagon is equilateral meaning that angle 1 and angle 3 would be congruent and equal to 60, and since angle 2 is half the measure of angle 1 it would be 30. Hope this helps!

7 0

3 years ago

Read 2 more answers