MATHEMATICS HIGH SCHOOL

Each month Allison gets a $15 allowance and earns $100 working at the theater. She uses the expression 15x+100y to keep track of her earnings Part A Part B Part C

Answers

Answer 1

Answer:

Step-by-step explanation:

The expression for he earning of Allison and her allowance is as follows :

15x+100y

Part A

Variables are x and y. Coefficients are 15 and 100.

Part (B)

There are two terms in this expression. + is used to separate the terms. 15x and 100y are the terms.

Part (C) As $15 shows her earning from allowances. Hence, 15x shows allowance.

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An arithmetic sequence is given below.-4, -10, -16, -22, ...
write an explicit formula for the Nth term aN.

Answers

Answer:

an=−6n+2

Step-by-step explanation:

First, you need to identify the first term and the common difference of the sequence. The first term is the value of the first element, which is -4. The common difference is the amount that is added or subtracted to each term to get the next one, which is -6 in this case. You can find it by subtracting any two consecutive terms, such as -10 - (-4) = -6 or -16 - (-10) = -6.

Next, you need to use the standard explicit formula for an arithmetic sequence, which is:

an=a1+d(n−1)

where an is the Nth term, a1 is the first term, d is the common difference, and n is any term number.

Finally, you need to substitute the values of a1 and d that you found in the first step into the formula. This gives:

an=−4+(−6)(n−1)

This is the explicit formula for the Nth term aN of the given arithmetic sequence. You can simplify it further by expanding and combining like terms:

an=−4−6n+6

an=−6n+2

The time, in seconds, that it takes a pendulum to swing back and forth is modeled by the equation below. f (l) = 2 pi StartRoot StartFraction l Over 32 EndFraction EndRoot, where l is the length of the pendulum in feet What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?

Answers

Answer:

46.08 feet.

Step-by-step explanation:

Given that, for length, $l$ feet, the time period, $f(l)$ , of the pendulum is

$f(l)=2\pi\sqrt{(l)/(32)}$ .

As the time period equals the time taken by the pendulum in one back and forth motion, so, actually, the given $2.4\pi$ seconds to swing back and forth is the time period.

Let $l_0$ feet be the length of the pendulum for the time period $2.4\pi$ seconds, so

$f(l_0)=2.4\pi$

$\Rightarrow 2\pi\sqrt{(l_0)/(32)}=2.4\pi$

$\Rightarrow \sqrt{(l_))/(32)}=1.2$

$\Rightarrow (l_0)/(32)=(1.2)^2$ [squaring on both the sides]

$\Rightarrow l_0=1.44*32$

$\Rightarrow l_0=46.08$

Hence, the approximate length of a pendulum that takes $2.4 \pi$ seconds to swing back and forth is 46.08 feet.

Answer:

the answer is d on edge 2020

Step-by-step explanation:

Help me please!! asap!

Answers

The equation represent the situation is:

First let x be number of small apartment

Since the total apartment is 18

Then number of large apartment is 18 – x

So the equation is:

17,600 = 800x + 1200(18-x)

Simplifying

17,600 = 800x + 21,600 – 1200x

400x = 4000

X = 10

What is the inverse of the function y = 4x + 5?

Answers

The inverse of the function y = 4x + 5 is $f^(-1)(x) = (x-5)/(4)$

The given function is:

y = 4x + 5

To find the inverse of the given function y = 4x + 5, follow the following steps:

Make x the subject of the formula:

$y = 4x + 5\n\n4x = y - 5\n\nx = (y)/(4)-(5)/(4)$

Replace x by $f^(-1)(x)$ and replace y by x.

The resulting function represents the inverse of the function y = 4x + 5

$f^(-1)(x)=(x)/(4)-(5)/(4)$

Which can be further simplified as:

$f^(-1)(x) = (x-5)/(4)$

The inverse of the function y = 4x + 5 is $f^(-1)(x) = (x-5)/(4)$

Learn more here: brainly.com/question/12220962

Answer:

y = 1/4 x - 5/4

Step-by-step explanation:

y = 4x + 5

Switch x and y.

x = 4y + 5

Solve for y.

4y = x - 5

y = 1/4 x - 5/4

Identify the direction of rotation that maps triangle BCD to triangle B’C’D’.The triangle is rotated in a
direction-----

Answers

The triangle is rotated in a clockwise direction, as per the given conditions.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
It seems to be questioned is incomplete, we assume that the direction of rotation that maps triangle BCD to triangle B’C’D’ on a coordinate plane from quadrant 2 to quadrant 1 is about the origin. As rotation from quadrat 2 to one about origin represents the clockwise direction.

Thus, the triangle is rotated in a clockwise direction, as per the given conditions.

Learn more about triangles here:
brainly.com/question/2773823

#SPJ6

Answer:

clockwise

Step-by-step explanation:

Which statement is true?