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zubka84 [21]
3 years ago
9

Find the missing exponent. Explain 5^11/5^?=5^4

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
6 0

Answer:

<h2>? = 7</h2>

Step-by-step explanation:

\text{We know:}\ \dfrac{a^n}{a^m}=a^{n-m}.\\\\\dfrac{5^{11}}{5^{?}}=5^4\\\\5^{11-?}=5^4\to?=7\ \text{because}\ 11-7=4

ruslelena [56]3 years ago
4 0

Answer:

The missing exponent is 5^7

Step-by-step explanation:

5^11/5^?=5^4

1. Subtract the exponents from each other.

11-4=7

2. Plug 7 in as the exponent.

5^11/5^7

3. 11-7=4 therefore, 5^11/5^7 equals 5^4.

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The discount price would be $21.98

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2 years ago
Monica sells lemonade over the summer and uses conical paper cups to serve
Alina [70]

Answer: She would need 206 paper cups.

Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.

Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;

Volume of a cone = (πr²h)/3

Volume of a cone = (3.14 * 4² * 11)/3

Volume of a cone = 552.64/3

Volume of a cone = 184.2

If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;

Number of cups = Total volume/Volume of a cup

Number of cups = 37850/184.2

Number of cups = 205.48

Rounded to the nearest whole number, this becomes

Number of cups ≈ 206

Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.

4 0
3 years ago
Bob cycles 5.4 km every morning.how many feet are in 5.4 km, given that 1 mile=1.609 km and 1 mile=5,280 feet?
creativ13 [48]

Answer:

17,720 ft

Step-by-step explanation:

5.4 km * (1 mile)/(1.609 km) * (5280 ft)/(1 mile) = 17,720 ft

5 0
2 years ago
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ss7ja [257]

Answer:

5085

Step-by-step explanation:

price after discount is 5000- 10% of 5000 = 4500

V.A.T = 13% of 4500 = (13/100)*4500= 13*45= 585

Price after V.A.T = 4500 + 585 = 5085

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2 years ago
If F(x) = x - 5 and G(x) = x2, what is G(F(x))?
vlada-n [284]

Answer:

here is the answer

Step-by-step explanation:

hope it helps

3 0
2 years ago
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