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earnstyle [38]
2 years ago
5

Two numbers, x and y, are related as described in this statement: x to the power of 3 is equal to y to the power of 5. Which equ

ation is equivalent to the statement? x ^ 3 = y; x = y ^ (3/5); x ^ 5 = y B x ^ 5 = y ^ 3
Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
4 0

The mathematical sentence can be written as:

x^3 = y^5

<h3>How to write the expression?</h3>

A number a to the power of n is written as:

a^n

Then:

"x to the power of 3 is equal to y to the power of 5"

Would be written as:

x^3 = y^5

Particularly, this does not appear in the given options, but this is the correct and simplest way of writing the given mathematical sentence.

If you want to learn more about expressions, you can read:

brainly.com/question/4344214

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Triangle ABCis rotated 90° clockwise around the origin to get
Elanso [62]

Answer:

The distance A’C’ is 4.47 units

Step-by-step explanation:

Before we go on, we need to get the appropriate transformation

Mathematically, we have a 90 degrees clockwise rotation yielding the following;

(x,y) to (-y,x)

A is (-4,1)

C is (-2,5)

By transforming, we have

A’( -1,-4)

C’ (-5,-2)

To get the magnitude of the line segment, we are going to use the distance formula between points

We have this as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-5-(-1))^2 + (-2-(-4))^2

D = √(-4)^2 + (2)^2

D = √(16 + 4)

D = √20

D = 4.47 units

7 0
2 years ago
(+7) x (-3) math intergers
IrinaK [193]

Answer:

-21

Step-by-step explanation:

- * + = -

- * - = +

+ * + = +

Here + * - = -

7* 3 = 21 and sign is -ve

4 0
2 years ago
Read 2 more answers
Students in the science lab are measuring the mass of an object on a triple beam balance. The object has a mass of 38 grams. Com
const2013 [10]

Answer:

Step-by-step explanation:

5 0
2 years ago
A large data sample of heights of US women is normally distributed with a mean height of 64.7 inches and a standard deviation of
mariarad [96]

Answer:0.16

Step-by-step explanation:

7 0
3 years ago
WILL GIVE BRAINLIEST
Evgesh-ka [11]
All you have to do is plug in the given values into the given equation and evaluate.

The expression is,

A(t) =  l{e}^{rt}
But we have to analyze the problem carefully. This is a natural phenomenon that can be modelled by a decay function. The reason is that, after every hour we expect the medicine in the blood to keep reducing.

Therefore we use the decay function rather. This is given by,


A(t) =  l{e}^{-rt}

where,

l = 100 \: milligrams

r =  \frac{14}{100}  = 0.14

and

t = 10 \: hours

On substitution, we obtain;

A(10) =  100 \times {e}^{ - 0.14 \times 10}


A(10) =  100 \times {e}^{ - 1.4}



Now, we take our calculators and look for the constant
e

,then type e raised to exponent of -1.4. If you are using a scientific or programmable calculator you will find this constant as a secondary function. Remember it is the base of the Natural logarithm.



If everything goes well, you should obtain;

A(10) =  100 \times 0.24659639


This implies that,


A(10) =  24.66

Therefore after 10 hours 24.66 mg of the medicine will still remain in the system.
3 0
3 years ago
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