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3 years ago

7

list three different ways to write 5 (with an exponents of 11) as the product of two powers. explain why all three of you expres

sions are equal to 5 with an exponent of 11...

2 answers:

Lady bird [3.3K]3 years ago

7 0

Ok i got it its 5^1 5^3 5^8 and 5^10 lol yw

balu736 [363]3 years ago

5 0

when multiplying a number to a power, you add the powers.

for example 5^3 x 5^8 = 5^11

you can do the same with 2&9, 4&7, 5&6

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In a bottle there are 370 liters of water. There are 46 small

DanielleElmas [232]

Answer:

The number of extra glasses required is 3954.

Step-by-step explanation:

Total volume of water in a bottle = 370 liters

Number of glasses, N = 46

capacity of each glass = 90 ml = 0.09 liter

The volume of water required to fill 46 glasses is

= 0.09 x 46 = 4.14 liter

The amount of water left = 370 - 4.14 = 355.86 liter

The number of extra glasses required to fill is

n = 355.86/0.09 = 3954

So, the number of extra glasses required is 3954.

5 0

2 years ago

Use bayes's rule to find the probability that a child from this population who has inadequate intake is 11 to 13 years old.

12345 [234]

Answer:

Step-by-step explanation:

So A = the child is 5-10 years old and B = the child is 11-13 years of age and that covers all the children in the study. I = calcium intake is inadequate.

3 0

3 years ago

Adam is going to cook a turkey for 14 people and wants to allow ¾ lb of turkey for each person.

Kobotan [32]

Missing info:
Turkey Sizes:
<span>small - 2kg - 3.9kg </span>
<span>medium - 4kg - 5.4kg </span>
<span>large - 5.5kg - 7.2kg </span>
<span>extra large - 7.3kg - 9.2kg </span>

<span>Turkey Prices: </span>
<span>Small / Medium - £5.99 per kg </span>
<span>Large / Extra Large - £4.99 per kg
</span>
3/4 lb x 14 persons = (3*14)/4 = 42/4 = 10.5 lbs

1 lb = 450 grams

10.5 lbs * 450grams/lb = 4,725 grams

1 kg = 1000 grams

<span>4,725 grams * 1kg/1000 grams = 4725 kg / 1000 = 4.725 kg.

4.725 kg is under the Medium size of the Turkey.

Medium sized turkey costs </span>£<span>5.99 per kg.

4.725 kg * </span>£5.99 per kg = £<span>28.30

A turkey would cost </span> £<span>28.30 for 14 people.</span>

4 0

3 years ago

Kyle spends an equal amount of money each day. After 4 days, he had 4/5 of his money left. After another 10 days he had $30 left

Elden [556K]

4 days spending equal amounts so if x is how much he spends per day and y is the original amount then 4x=1/5y bc he has 4/5 left meaning what he spent was 1/5 of the original and after 10 more days which was 14 total he spent all but 30 so the total minus 30 will be how much kyle spent so
14x=y-30 which is y=(14x+30) and substitute that in for y in 4x=1/5y so 4x=1/5 (14x+30)
20x=14x+30
6x=30
x=5 and plug that in either of the original equations 4(5)=1/5y
y=100
so he had $100 and spent $5 per day

4 0

3 years ago

Read 2 more answers

F(x) = 2x + 3g(x) = 2x² + 6x + 13Find: (gºf)(x)

Butoxors [25]

Answer:

The function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

Explanation:

Given the functions;

$\begin{gathered} f(x)=2x+3 \\ g(x)=2x^2+6x+13 \end{gathered}$

Solving for the function;

$(g\circ f)(x)=g(f(x))$

so, we have;

$\begin{gathered} g(f(x))=2(f(x))^2+6(f(x))+13 \\ g(f(x))=2(2x+3)^2+6(2x+3)+13 \\ g(f(x))=2(4x^2+12x+9)^{}+6(2x)+6(3)+13 \\ g(f(x))=8x^2+24x+18^{}+12x+18+13 \\ g(f(x))=8x^2+24x^{}+12x+18+18+13 \\ g(f(x))=8x^2+36x+49 \end{gathered}$

Therefore, the function (gof)(x) is;

$(g\circ f)(x)=8x^2+36x+49$

5 0

9 months ago