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3 years ago

Which exponential function goes through the points (1, 8) and (4, 64)?

1 answer:

6 0

An exponential function can be expressed as:

y=ab^x we have two points so we can solve

64/8=(ab^4)/(ab^1)

8=b^3

2=b, now we have:

y=a(2^x), using point (4,64)

64=a(2^4)

64=16a

4=a so

y=4(2^x)

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When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the

Romashka-Z-Leto [24]

Answer:

Ren was 27.5 meters away from her family.

Step-by-step explanation:

Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.

But the angle of depression is measured with respect to the horizontal plane, so;

the vertical angle = $90^{o}$ - 20°

= $70^{o}$

Applying the appropriate trigonometric function, we have;

Tan θ = $\frac{opposite}{adjacent}$

Tan $70^{o}$ = $\frac{x}{10}$

⇒ x = 10 x Tan $70^{o}$

= 10 x 2.7475

= 27.475

x = 27.5 meters

Ren was 27.5 meters away from her family.

6 0

3 years ago

Why would i use a straightedge to measure the length of a segment?

Simora [160]

You would measure the length of a segment with a straightedge because it is free from curves and can help measure a segment because it is straight.

6 0

3 years ago

I need help with this problem it’s due at midnight and I’m so tired of trying. Thanks it’s number 4 btw

bearhunter [10]

Answer:

Look below

Step-by-step explanation:

8 + 9 + 10 = 27

9 + 10 + 11 = 30

10 + 11 + 12 = 33

B. Every answer is divisible by 3, every consecutive answer is also 3 more than the one before it.

C. Yes

19 + 20 + 21 = 60

D. No

8 is not divisible by 3. Also, the closest you can get is 6 (1 + 2 + 3) or 9 (2 + 3 + 4).

I hope this helped! If you need anything else, let me know in the comments. :)

6 0

3 years ago

The table below shows points that are on the graph of the function h(x). 0 1 2 3 4 5 h(2) 2 5 8 11 14 17 Select the point that i

sukhopar [10]

9514 1404 393

Answer:

B. (2, 0)

Step-by-step explanation:

We understand the points on the graph of h(x) to be ...

(0, 2), (1, 5), (2, 8), (3, 11), (4, 14), (5, 17)

The points on the graph of the inverse function will have the x- and y-coordinates reversed:

(2, 0), (5, 1), (8, 2), (11, 3), (14, 4), (17, 5)

The one that appears among the answer choices is ...

(2, 0)

7 0

3 years ago

A rectangular block of copper metal has a mass of 1800 grams. The dimensions of the block

Hoochie [10]

Use formula p=m/v
P is density
M is mass
V volume
So you have the volume already now 8x5x4= 160 which is the volume
P= 1800/160 after you divide you get 11.25
The density is 11.25

3 0

3 years ago