Quintin set a goal to do 15 push-ups each day. By how much would he exceed his goal if he did 17 push-ups in a day?

Point C is located at (1, 2) and point D is located at (−4, −2). Find the y value of the point that is 1 over 4 the distance fro

fomenos

If we use similar triangles ( as shown in the attachment ) we will see that the line CM is also 1/4 *( yC-yD)= 1/4*(2+2) = 1/4*4 =1
Answer: y-value of that point is A) y=1.

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4 0

2 years ago

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Write the expanded form of the decimal 0.082¯ using powers of 10

Softa [21]

Answer:

0.082 = 8.2× 10^-2

Step-by-step explanation:

Given the decimal number 0.082, the expanded form using the power of 10 can be gotten by writing the decimal number in standard format(writing as a multiple of 10).

To do that we will shift the decimal point to the front up to the front of digit 8. This shows that the decimal point will be shifted 2times to the front. Since of is shifted 2times to the front, our power of 10 will be -2.

0.082 = 8.2× 10^-2

This gives the required answer.

Note that, the power of 10 is positive when decimals are shifted to the back and negative when shifted to the front(in this case).

3 0

3 years ago

A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after

Lelu [443]

Answer:

Option A; 74.3 feet

Step-by-step explanation:

~ Here we can see that this problem is set to be so that compound interest is applied ~

1. If compound interest is to be applied, it would be that the "20 percent" is the interest, the principle number ( start value ) ⇒ 12 feet in height, and the time is 10 years.

2. Let us approach this problem step by step. Instead of substiting values into a compound interest formula, let us simply attempt a variation of that process...

3. 20 percent is, in a decimal form, ⇒ 0.2

4. Now add 1 to this value 0.2, to get ⇒ 1.2

5. If we were to consider the formula, 1.2 would first be exponentially multiplied by itself 10 time, considering that it is to the power of 10 years. In other words ⇒ 1.2^10 = 6.191736422..........

6. Now let us multiply this infinite value 6.19...... by the principle quantity 12 feet ⇒ 6.191736422.......... * 12 = <em>(About) 74.30083707.......</em>

7. If we were to round this value, it would be to ⇒ 74.3 feet, or in other words the first option; <em>Option A</em>

6 0

2 years ago

Which values of a, b, and c correctly represent the answer in simplest form? 3 and one-half divided by 2 and one-fourth = a Star

sasho [114]

Answer:

(A) a=1,b=5,c=9

Step-by-step explanation:

We want to simplify $3\frac{1}{2} \div 2\frac{1}{4}$ for values of a, b and c which satisfies: $a\dfrac{b}{c}$

$3\dfrac{1}{2} \div 2\dfrac{1}{4}\\\text{Changing each fraction to improper fraction}\\=\dfrac{7}{2}\div \dfrac{9}{4}\\\text{Next, we change the division sign to multiplication by taking reciprocal of the second fraction}\\=\dfrac{7}{2}X \frac{4}{9}\\=\dfrac{7X4}{2X9}\\=\dfrac{28}{18}\\$ Converting our result to mixed fraction

$\dfrac{28}{18}=1\dfrac{10}{18}=1\dfrac{5}{9}\\a=1,b=5,c=9$

4 0

3 years ago

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What is the value of the logarithm? ln(52) round the answer to the nearest ten thousandth. Enter your answer in the box.

olya-2409 [2.1K]

After finding out the value of ln (52) and rounding value it to the nearest ten thousandth, we have the value as 3.9512.

Given logarithm function is ln (52).

We have to find out the value of the logarithm by rounding it to the nearest ten thousandth.

The easiest way to do this is to make use of a calculator where we can put the value of natural log.

After putting ln (52) in the calculator, we have

ln (52) = 3.951243719

In order to round the answer of ln (52) to the nearest ten thousandth, we have to first check if the number after the ten thousandth one is greater than 5 or if it is not.

Here, the ten thousandth number is 2. The number after the ten thousandth one is 4 which is less than 5. So, there will be no increase in the ten thousandth number.

Therefore, rounding the value of ln (52) to the nearest ten thousandth, we have the value as 3.9512.

To learn more about rounding values visit brainly.com/question/14200883

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4 0

10 months ago