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3 years ago

Write each power as a product of the Same factor then find the value 1. 4^3 2. 2^6 3. 8^4 4. 12^2

Mathematics

1 answer:

qwelly [4]3 years ago

7 0

Answer:

15^3=15×15×15=3375

0^4=0×0×0×0=0

5^5=5×5×5×5×5=3125

3.5^2=3.5×3.5=12.25

6^5=6×6×6×6×6=7776

7^4=7×7×7×7=2401

1^8=1×1×1×1×1×1×1×1=1

2.5^3=2.5×2.5×2.5=15.625

Step-by-step explanation:

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one night a theater sold 548 movie tickets. an adult’s costs $6.50 an child’s cost $3.50. in all, $2,881 was takin in. how many

gavmur [86]

Answer:

321 adult tickets
227 child tickets

Step-by-step explanation:

This sort of problem is easily solved by defining a variable to be the quantity of the higher-value contributor. Here, we can let x represent the number of adult tickets. Then total revenue is ...

6.50x +3.50(548-x) = 2881

3x +1918 = 2881 . . . . . . . . . . . . eliminate parentheses, collect terms

3x = 963 . . . . . . . . . . . . . . . . . . subtract 1918

x = 321 . . . . . . . . . . . . . . . . . . . . divide by 3

548-x = 548 -321 = 227 . . . . . .number of child tickets

321 adult tickets and 227 child tickets were sold.

3 0

4 years ago

What are the coordinates of the center and the

Misha Larkins [42]

Answer: The coordinate of the center is (4,-3)

radius = 8

Step-by-step explanation:

Given ;

$x^{2} +y^{2}=8x-6y+39$

re - arranging , we have

$x^{2} +y^{2}-8x+6y-39=0$

comparing with the general equation

$x^{2} +y^{2}+2gx+2fy+c=0$

This means that

$2gx = -8x$

$2g=-8$

$g=-4$

also

$2fy=6y$

$2f=6$

$f=3$

$c=-39$

The coordinate of the center is (-g,-f)

Therefore;

the coordinate of the center = (4,-3)

the formula for calculating r is given by:

$r = \sqrt{g^{2}+f^{2}-c}$

$r = \sqrt{16+9+39}$

$r=\sqrt{64}$

$r=8$

METHOD 2

$x^{2} +y^{2}-8x+6y-39=0$

using completing the square method , we have

$x^{2} -8x+y^{2}+6y-39=0$

completing the square , we have

$(x-4)^{2}+(y+3)^{2} = 39 +4^{2}+3^{2}$

$(x-4)^{2}+(y+3)^{2}=64$

comparing with the general equation

$(x-a)^{2}+(y-b)^{2}=r^{2}$

where a and b are the coordinate of the center , that is

the coordinate of the center is ( 4 , -3)

$r^{2}=64$

$r=8$

6 0

3 years ago

In an article appearing in Today’s Health a writer states that the average number of calories in a serving of popcorn is 75. To

Klio2033 [76]

Answer: 1.9166

Step-by-step explanation:

Let $\mu$ be the population mean.

By considering the given description, we have

$\mu=75$

n=20

$\overline{x}=78$

s=7

Since, the population standard deviation is unknown , so we use t-test.

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

i.e . $t=\dfrac{78-75}{\dfrac{7}{\sqrt{20}}}=1.916629695$

$\approx1.9166$ [Rounded to four decimal places.]

Hence, the value of the t-test statistic : 1.9166

4 0

4 years ago

Benjamin deposit $3,000 into each of two savings accounts the first savings account pays 5% interest compounded annually the sec

fredd [130]

Answer:

The answer is B

Step-by-step explanation:

4 0

3 years ago

The front yard at matts house is a rectangle. The area of the yard is 48 square meters. His yard is 6 meters long. How wide is m

kakasveta [241]

Area is Length x Width, so dividing the area (48) by the length (6) will get you a width of 8 meters

3 0

3 years ago

Write each power as a product of the Same factor then find the value 1. 4^3 2. 2^6 3. 8^4 4. 12^2​

Write each power as a product of the Same factor then find the value 1. 4^3 2. 2^6 3. 8^4 4. 12^2