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suter [353]
3 years ago
11

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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Latasha made 128 ounces of punch. How many cups did she make?
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16, 128 is being divided by 8

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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:

  • <u><em>1. x = - 3</em></u>
  • <u><em>2. y = -9</em></u>
  • <u><em>3. n = 0</em></u>

<u><em></em></u>

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 ?

  • x =

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

  • y =

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

  • n =

<h2>Solutions</h2>

<u />

<u>1. What is the value of x in the product of powers </u>5^5\cdot 5^x=5^2<u> ?</u>

Apply the rule of the <em>product of powers with the same base</em> 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

<u />

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

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
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