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3 years ago

Simplify each of the following.

1 answer:

6 0

<em>hope </em><em>it</em><em> helps</em>

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Marco needs to buy some cat food At the nearest store, 3 bags of cat food cost $16.50. How muc

madreJ [45]

He would spend $27.50, because each bag costs $5.50. Multiply that by 5 and you have your answer :)

6 0

3 years ago

What is the reciprocals of the fraction 37/74

lidiya [134]

<h2>The reciprocals of the fraction $\dfrac{37}{74}$ = $\dfrac{74}{37}$ or 2.</h2>

Step-by-step explanation:

We have,

$\dfrac{37}{74}$

To find, the reciprocals of the fraction $\dfrac{37}{74}$ = ?

∴ $\dfrac{37}{74}$

Dividing numerator and denominator by 37, we get

= $\dfrac{1}{2}$

= $\dfrac{37}{74}$ or, $\dfrac{1}{2}$

We know that,

The reciprocals of the fraction $\dfrac{x}{y} =\dfrac{y}{x}$

The reciprocals of the fraction $\dfrac{37}{74}$ = $\dfrac{74}{37}$ or $\dfrac{2}{1}$

= $\dfrac{74}{37}$ or 2

Thus, the reciprocals of the fraction $\dfrac{37}{74}$ = $\dfrac{74}{37}$ or 2.

4 0

3 years ago

A table of data is given.x(-2,-1,0,1,2)f(x)(71,13,3,0.6,0.1) which exponential model best represents the data

Dovator [93]

The equation of the exponential model is f(x) = 3 * 0.2^x

<h3>How to determine the exponential model?</h3>

The table of data is given as:

x(-2,-1,0,1,2)

f(x)(71,13,3,0.6,0.1)

An exponential model is represented as:

f(x) = ab^x

When x= 0 and f(x) = 3;

We have:

ab^0 = 3

This gives

a = 3

When x= 1 and f(x) = 0.6

We have:

ab^1 = 0.6

This gives

ab = 0.6

Substitute 3 for a

3b = 0.6

Divide both sides by 3

b = 0.2

Substitute b = 0.2 and a =3 in f(x) = ab^x

f(x) = 3 * 0.2^x

Hence, the equation of the exponential model is f(x) = 3 * 0.2^x

Read more about exponential model at:

brainly.com/question/2441623

#SPJ4

5 0

2 years ago

What is the value of x?

abruzzese [7]

Notice the tickmarks on the graph, those two sides are equal, and those two angles are also equal, now, the (4x-10) side, is shared by both triangles above and below.

namely the triangles above and below have a [S]ide and then an [A]ngle and then a [S]ide in common, thus they're congruent by SAS.

what does that mean? well, it means that 8x-2 = 3x - 5, and you know the rest then.

though for some reason you put a line through the -, to make it 3x+5, so, dunno what it might be, but those sides are congruent either way.

4 0

3 years ago

Given T(-2,4,7) and M(-3,5,2) find the ordered triple that represents TM Then find the magnitude of TM-

Soloha48 [4]

Answer:

(D)

$\overrightarrow{TM} = < 1, -1, 5 >\\|TM|= 3\sqrt{3}$

Step-by-step explanation:

Given T(-2,4,7) and M(-3,5,2)

$\overrightarrow{TM} = \underline{m} - \underline{t}$ where m and t are position vectors. $= - < -3, 5, 2> $ (Subtract corresponding components )$\\= < -2+3, 4- 5, 7-2 >\\= < 1, -1, 5 >$

Given v=<x,y,z>, then the magnitude of v is:

$|v| = \sqrt{x^2+y^2+z^2}, $thus$\\|TM| = \sqrt{(1)^2+(-1)^2+(5)^2}\\= \sqrt{1+1+25}\\ = \sqrt{27} \\= \sqrt{9*3} \\|TM|= 3\sqrt{3}$

7 0

3 years ago