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2 years ago

Match each equation to its solution

Mathematics

2 answers:

Finger [1]2 years ago

5 0

Answer:

1st answer: -8

2nd answer: -5.2

3rd answer: 28.8

4th answer: 4

AleksandrR [38]2 years ago

5 0

Answer:

x/2=-4_______ -8

-5x=26_______ -5.2

x/-7.2=-4________28.8

__ =6________4

2 x

Step-by-step explanation:

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Which is the simplified form of (9c^-9)^-3 b 1/729 c^27

rosijanka [135]

ANSWER

$(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}$

EXPLANATION

The given expression is

$(9 {c}^{ - 9} )^{ - 3}$

Recall that:

$({a}^{m} )^{n} = {a}^{mn}$

We use the law of exponents to get

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ - 9 \times - 3}$

Let us multiply in the exponents to get:

$(9 {c}^{ - 9} )^{ - 3} = 9^{ - 3} {c}^{ 27}$

Recall again that:

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{ {9}^{ 3} } \times {c}^{ 27}$

We expand the power to get:

$(9 {c}^{ - 9} )^{ - 3} = \frac{1}{9 \times 9 \times 9} \times {c}^{ 27}$

$(9 {c}^{ - 9} )^{ - 3}=\frac{1}{729} \times {c}^{ 27}$

We multiply out to get:

$(9 {c}^{ - 9} )^{ - 3}=\frac{{c}^{ 27} }{729}$

7 0

2 years ago

Phillip is standing across the classroom from his desk. He walks x steps in a straight line to his right, turns left at a 90° an

Rainbow [258]

For this case, we can model the problem as a triangle with a right angle.
Where,
x, y: lengths of the sides of the triangle
d: hypotenuse of the triangle
We then have the following relationship:
$d ^ 2 = x ^ 2 + y ^ 2
$
Clearing d we have:
$d = \sqrt{ x^2 + y^2}$
Answer:
A functions that would best model the situation above is:
D square root

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3 years ago

Jennifer has a taco stand.she found that her daily costs can be modeled by C(x)=x^2-40x+610. if she wants to keep her daily cost

Svetllana [295]

Plug in 300 for C(x), to get:
300= $x^{2} -40x=610$
Then subtract to get: 0= $0= x^{2} -40x+310$
Then use the quadratic formula and plug everything in. Use a calculator to simplify.

You'll get two answers: 29.486 and -0.513.
Since you can't sell "negative" tacos, use the positive solution
Around 29-30 tacos.

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2 years ago

The Waist to Hip Ratio (WHR) is a ratio commonly expressed as a decimal that has been shown to be a good predictor of possible c

Jet001 [13]

40?
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3 years ago

Lynn uses 3 grams of tea leaves to make 18 fluid ounces of tea . Last week she made 216 fluid onces of tea . How many grams of t

Helga [31]

216/18 is 12 so you would multiply 3 and 12 to get 36 grams of tea leaves

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2 years ago

Match each equation to its solution​

Match each equation to its solution