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3 years ago

Which number lime shows a point that represents 25%

Mathematics

1 answer:

pychu [463]3 years ago

8 0

The answer is F. I counted from the first line to the dot and said 25 the next line to the same amount of lines and so on and so forward.

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The diameter of a round rug is 42 inches. What is the approximate area of the rug?

aksik [14]

Answer:

D, It would be 1,385 Square Inches

Step-by-step explanation:

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2 years ago

Latasha made 128 ounces of punch. How many cups did she make?

Stells [14]

16, 128 is being divided by 8

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3 years ago

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How do I make a girl happy, cause i feel like i have places where i can improve?

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Make her laugh, and laugh with her, do things she wants to do that you don't usually do, take her on a date to a fancy restaurant, compliment her on the little things about her.

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3 years ago

Determine the value of the variable in the product of powers.

aleksandrvk [35]

Answer:

1. x = - 3

2. y = -9

3. n = 0

Explanation:

The expressions are garbled. The correct expressions to determine the product of powers are:

1. What is the value of x in the product of powers $5^5\cdot 5^x=5^2$ ?

2. What is the value of y in the product of $p^{-3}\cdot p^{-6}=p^y$ ?

3. What is the value of n in th product of $9^2\cdot 9^{-7}\cdot 9^n=9^{-5}$ ?

<h2>Solutions</h2>

1. What is the value of x in the product of powers $5^5\cdot 5^x=5^2$ ?

Apply the rule of the product of powers with the same base to the left side of the equality.

The product of two powers with the same base is the base raised to the sum of the exponent:

$5^5\cdot5^x=5^{(5+x)}$

Now the power on the left side has the same base as the power on the right side, so the exponents are the same:

5 + x = 2

x = 2 - 5

x = - 3

2. What is the value of y in the product of $p^{-3}\cdot p^{-6}=p^y$ ?

Again, the product of the two powers on the left side is equal to the common base raised to the sum of the exponents:

On the left side, you get:

$p^{-3}\cdot p^{-6}=p^{(-3-6)}=p^{-9}$

Then,

$p^{-9}=p^y\\\\-9=y\\\\y=-9$

3. What is the value of n in th product of $9^2\cdot 9^{-7}\cdot 9^n=9^{-5}$ ?

Same rule:

Left side:

$9^2\cdot 9^{-7}\cdot 9^n=9^{(2-7+n)}=9^{(-5+n)}$

Left side equal to right side:

$9^{(-5+n)}=9^{-5}\\\\-5+n=-5\\\\n=-5+5\\\\n=0$

8 0

3 years ago

Read 2 more answers

The velocity of an automobile starting from rest is given by the equation below, where v is measured in feet per second and t is

maria [59]

Answer:

a. At t = 5 s

$a(5)=\frac{1785}{\left(6(5)+17\right)^2}=\frac{1785}{2209}\approx0.808 \frac{ft}{s^2}$

b. At t = 10 s

$a(10)=\frac{1785}{\left(6(10)+17\right)^2}=\frac{255}{847}\approx0.301 \frac{ft}{s^2}$

c. At t = 20 s

$a(20)=\frac{1785}{\left(6(20)+17\right)^2}=\frac{1785}{18769}\approx0.095 \frac{ft}{s^2}$

Step-by-step explanation:

We know that the velocity function is given by

$v(t)=\frac{105t}{6t+17}$

Acceleration is the rate of change of velocity so we take the derivative of the velocity function with respect to time.

$a(t)=\frac{dv}{dt}=\frac{d}{dt} (\frac{105t}{6t+17})$

$\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\105\frac{d}{dt}\left(\frac{t}{6t+17}\right)\\\\\mathrm{Apply\:the\:Quotient\:Rule}:\quad \frac{d}{{dx}}\left( {\frac{{f\left( x \right)}}{{g\left( x \right)}}} \right) = \frac{{\frac{d}{{dx}}f\left( x \right)g\left( x \right) - f\left( x \right)\frac{d}{{dx}}g\left( x \right)}}{{g^2 \left( x \right)}}$

$105\cdot \frac{\frac{d}{dt}\left(t\right)\left(6t+17\right)-\frac{d}{dt}\left(6t+17\right)t}{\left(6t+17\right)^2}\\\\105\cdot \frac{1\cdot \left(6t+17\right)-6t}{\left(6t+17\right)^2}\\\\a(t)=\frac{1785}{\left(6t+17\right)^2}$

a. At t = 5 s

$a(5)=\frac{1785}{\left(6(5)+17\right)^2}=\frac{1785}{2209}\approx0.808 \frac{ft}{s^2}$

b. At t = 10 s

$a(10)=\frac{1785}{\left(6(10)+17\right)^2}=\frac{255}{847}\approx0.301 \frac{ft}{s^2}$

c. At t = 20 s

$a(20)=\frac{1785}{\left(6(20)+17\right)^2}=\frac{1785}{18769}\approx0.095 \frac{ft}{s^2}$

3 0

3 years ago