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3 years ago

Which of the following statements are equivalent? x - y = 2 and x = y + 2

1 answer:

7 0

I’m not sure I understand the question. The equations you posted are equivalent. To take x - y = 2 to x = y + 2, you add y to both sides of the equation.

I’m happy to answer more if you let me know in the comments.

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Find the lcm of 56 and 72

Reptile [31]

Answer:

504

Step-by-step explanation:

4 0

3 years ago

The city of Anvil is currently home to 21000 people, and the population has been growing at a continuous rate of 4% per year. Th

Yanka [14]

Answer:

They'll reach the same population in approximately 113.24 years.

Step-by-step explanation:

Since both population grows at an exponential rate, then their population over the years can be found as:

$\text{population}(t) = \text{population}(0)*(1 + \frac{r}{100})^t$

For the city of Anvil:

$\text{population anvil}(t) = 21000*(1.04)^t$

For the city of Brinker:

$\text{population brinker}(t) = 7000*(1.05)^t$

We need to find the value of "t" that satisfies:

$\text{population brinker}(t) = \text{population anvil}(t)\\21000*(1.04)^t = 7000*(1.05)^t\\ln[21000*(1.04)^t] = ln[7000*(1.05)^t]\\ln(21000) + t*ln(1.04) = ln(7000) + t*ln(1.05)\\9.952 + t*0.039 = 8.8536 + t*0.0487\\t*0.0487 - t*0.039 = 9.952 - 8.8536\\t*0.0097 = 1.0984\\t = \frac{1.0984}{0.0097}\\t = 113.24$

They'll reach the same population in approximately 113.24 years.

4 0

3 years ago

A sumo wrestling ring is circular and has a circumference of 4 . 6 π meters 4.6π meters. What is the area A A of the sumo wrestl

LUCKY_DIMON [66]

Answer:

$A=5.29\pi$

Step-by-step explanation:

Formula for circumference of a circle is:

Circumference = $2\pi r$

Given circumference of the ring is $4.6\pi$

Now solving for the radius gives us:

$2\pi r=4.6\pi\\r=\frac{4.6\pi}{2\pi}\\r=\frac{4.6}{2}=2.3$

We know that area of a circle is $\pi r^2$ , substituting the value of r we found, we get the area as:

area (A) = $\pi r^2\\\pi (2.3)^2\\\pi (5.29)\\=5.29\pi$

Hence the Area (A), in terms of $\pi$ is $5.29\pi$

5 0

3 years ago

Read 2 more answers

What is 6.9 × 107 written in standard form?

mihalych1998 [28]

6.9 x 10⁷ is a scientific notation.

6.9 x 10⁷ in standard form is 69,000,000

Scientific notation is used to represent very large numbers or very small numbers.

Scientific notation has three parts. Its parts are the coefficient, base of ten, and the exponents.

6.9 is the coefficient
10 is the base of 10
7 is the exponent

The must always be 1 digit before the decimal point in the scientific notation.
The exponent tells us the number of places the decimal point has moved. Its sign tells us the direction of the decimal point's movement.

Since the exponent is positive, it tells us that the decimal point moved from right to left.

69000000. to 6.9000000

If the exponent had a negative sign, it means that the decimal point moved from left to right.

example: 6.9 x 10⁻⁷
its standard form would have been .00000069

3 0

3 years ago

Read 2 more answers

1) The minimum thickness of Saturns A ring is one-tenth kilometer. Write this decimal using a negative exponent.

yulyashka [42]

Answer:

1) $10^{-1}$