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ankoles [38]
2 years ago
12

Write the product using exponents.

Mathematics
1 answer:
stiks02 [169]2 years ago
4 0

Answer:

\pi ^{3} *x^{4}

Step-by-step explanation:

Simplifying using the exponent rule with the same base a^{n} *a^{m}

=a^{n+m} :\pi ^{1+1+1} *\pi ^{1+1+1+1}

Calculate the sum or difference: \pi^ {3} *x^{4}

Answer: \pi^ {3} *x^{4}

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180 square yards

Step-by-step explanation:

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3 years ago
The ratio of the side lengths of a quadrilateral is 3:3:5:8, and the perimeter is 380cm. What is the measure of the longest side
castortr0y [4]

Answer:

160

Step-by-step explanation:

Add the ratios together to get the sum of them is 19.  Since the perimeter is 380, divide 380 by 19 to get 20.  

The shortest side is 3(20) = 60,

the next side is 5(20) = 100, and

the longest side is 8(20) = 160

3 0
3 years ago
If 3x − 3 ≤ f(x) ≤ x2 − 3x + 6 for x ≥ 0, find lim x→3 f(x).
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5 0
2 years ago
A tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24. The players were still hungry so the coa
g100num [7]

The cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

<h3><u>Solution:</u></h3>

Let "f" be the cost of 1 fries

Let "h" be the cost of 1 hamburger

<em><u>Given that, tennis coach took his team out for lunch and bought 8 hamburgers and 5 fries for $24</u></em>

8 x cost of 1 hamburger + 5 x cost of 1 fries = 24

8 \times h + 5 \times f = 24

8h + 5f = 24 -------- eqn 1

<em><u>The players were still hungry so the coach bought six more hamburgers and two more fries for $16.60</u></em>

6 x cost of 1 hamburger + 2 x cost of 1 fries = 16.60

6 \times h + 2 \times f = 16.60

6h + 2f = 16.60 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

16h + 10f = 48 ------ eqn 3

Multiply eqn 2 by 5

30h + 10f = 83 -------- eqn 4

<em><u>Subtract eqn 3 from eqn 4</u></em>

30h + 10f = 83

16h + 10f = 48

( - ) ----------------------

14h = 35

<h3>h = 2.5</h3>

Substitute h = 2.5 in eqn 1

8(2.5) + 5f = 24

20 + 5f = 24

5f = 4

<h3>f = 0.8</h3>

Thus cost of 1 hamburger is $ 2.5 and cost of 1 fries is $ 0.8

5 0
3 years ago
A tabletop in the shape of a trapezoid has an area of 7,701 square centimeters. Its longer base measures 119 centimeters, and th
svet-max [94.6K]

Answer:

75.5 cm

Step-by-step explanation:

S = (a+b)*h/2

h = 2 * S / (a+b) = 2 * 7701 / 204 = 75.5 cm

7 0
2 years ago
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