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2 years ago

Which is the exponential form of log7 44 = y?

Mathematics

1 answer:

Sonja [21]2 years ago

5 0

7^y=44

........,...............

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If f(t)= 3t^2-2, find f(k-2)

DedPeter [7]

By plugging (k-2) in t, we can write that
$f(k-2)=3(k-2)^{2}-2=3(k^{2}-4k+4)-2=3 k^{2}-12k+12-2=$ $3 k^{2}-12k+10$

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2 years ago

Juan runs a company that makes pens. He notices that 1 out of every 9 pens are faulty. He uses a standard deck of cards to model

sergey [27]

Question:

Isabella pitches for her high school softball team. Of the 7 pitches she throws, 5 are strikes. She uses a standard deck of cards to model her pitches, with hearts, clubs, and spades representing strikes. Which statement about her model is true?

Answer:

B. Her model can be improved the most by removing the queens and kings of hearts, clubs, and spades.

Explanation:

I took the test and passed.

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2 years ago

Read 2 more answers

Rachel is bowling with her friends. her bowling ball has a radius of 4 inches. as she bowls she tracks the location of the finge

Goshia [24]

Question Continuation

The finger hole changes by 45 degrees.

Define a function, f, that gives the height of the finger hole above the ground (in inches) in terms of the angle of rotation (measured in radians) it has swept out from the 12 o'clock position.

Answer:

f(θ) = r(1 + cos(θ)) for 0 ≤ θ ≤ π/4

Step-by-step explanation:

Given

Let represent radius

r = 4 inches

Considering that she starts tracking the location when the finger hole is at the 12 o'clock; this means that the angle measurement at this point is 0°.

Let θ represent the angle

At 12 o'clock mark

θ = 0

When the finger hole changes by 45 degrees

θ = 45°

Convert 45° to radians

θ = 45° * π/180

θ = π/4

So, angle θ is such that θ∈[0, π/4]

This can be represented as

0 ≤ θ ≤ π/4

Calculating the measure of f(θ) in polar coordinates

When θ = 0, f(θ) = r (i.e. the current position of the bowl)

When θ = π/2, f(θ) = rcosθ

This is so because f(θ), being the function of the height is a measure of the radius* cos(θ)

Taking measurement of f(θ) from 0 to π/2

f(θ) = r + rcosθ

f(θ) = r(1 + cos(θ))

So, f(θ) = r(1 + cos(θ)) for 0 ≤ θ ≤ π/4

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2 years ago

A circle has a circumference of \blue{18}18start color #6495ed, 18, end color #6495ed. It has an arc of length 666.

puteri [66]

Answer:

120 degrees

Step-by-step explanation:

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2 years ago

The goal of a benefit concert is to collect 50,000 cans of food. Food is collected at each entrance to the concert.

Alex

Answer:

C, the concert collected 13,204 more than desired

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2 years ago