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2 years ago

"The output is one-fourth of the input."

Mathematics

1 answer:

Alenkasestr [34]2 years ago

3 0

Step-by-step explanation:

Using functions, the input is x, the output is y.

<u>Break down the problem:</u>

The output (y) is (equals) one-fourth (1/4) of the input (x)

y equals 1/4 of x

$y = \frac{1}{4} x$

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The length of the ears on the shadow puppet is 3 inches. The length of the ears on the shadow is 4 inches. What is the scale fac

Rufina [12.5K]

The scale factor is the number u multiply by the first image to get to the second image.

so 3 times what = 4
3x = 4
x = 4/3 (or 1 1/3) <== this is ur scale factor

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2 years ago

What is the unit price for 12 apples for $3.12?

Zigmanuir [339]

Answer:

The answer would have came out of 3.84615384615

Then round up the answer to 3.85. So the unit price is $3.85

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2 years ago

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Find an explicit formula for the geometric sequence -40,-20,-10......

garik1379 [7]

Answer:

The explicit formula for the geometric sequence is $c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}$ .

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

$c(n) = c_{1}\cdot r^{n-1}$ , $n \ge 1$ (1)

Where:

$c_{1}$ - First term.

$r$ - Geometric rate.

$n$ - Position of the element within the series.

If we know that $c_{1} = -40$ and $r = \frac{1}{2}$ , then the explicit formula for the geometric sequence is:

$c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}$

The explicit formula for the geometric sequence is $c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}$ .

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3 years ago

The length of the base of a triangle is twice its height. if the area of the triangle is 196 square kilometers, find the height

NISA [10]

Area = 1/2 x base x height

Let the height be x.
Height = x
Base = 2x

Area of triangle = 1/2 x base x heght

Plug base and height into the variables:
(1/2)(2x)(x) = 196

Combine like terms:
x² = 196

Square root both sides:
x = 14

Find Base and height:
Base = x = 14 km
Height = 2x = 2(14) = 28 km

Answer: Height = 28km

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3 years ago

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Dana Thacker's bank granted her single payment loan of 10,450 she agreed to repay the loan in 75 days at an exact interest rate

il63 [147K]

Using simple interest, it is found that the maturity value of the loan is of 10,638.

<h3>Simple Interest</h3>

The amount of money after <em>t years </em>in simple interest is modeled by:

$A(t) = A(0)(1 + rt)$

In which:

A(0) is the initial amount.

r is the interest rate, as a decimal.

In this problem:

A loan of 10450 is taken, hence $A(0) = 10450$ .

Interest rate of 8.25%, hence $r = 0.0825$

The loan will be repaid in 75 days, considering the time in years, $t = \frac{75}{365}$

Then, the maturity value of the loan is:

$A(t) = A(0)(1 + rt)$

$A\left(\frac{75}{365}\right) = 10450\left[1 + 0.0875\frac{75}{365}\right] = 10638$

The maturity value of the loan is of 10,638.

To learn more about simple interest, you can take a look at brainly.com/question/26207710

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2 years ago