Convert the scale to a unit rate. 1/4 in = 3/4 mi

Rewrite the expression with rational exponents as a radical expression. 7 times x to the two thirds power

Daniel [21]

Answer:

$(7x)^{\frac{2}{3}}$ = $\sqrt[3]{49x^{2} }$

Step-by-step explanation:

We have been given the expression;

7 times x to the two thirds power which can be written mathematically as;

$(7x)^{\frac{2}{3}}$

To express the above expression as a radical, we need to recall that;

$a^{\frac{b}{n}}=\sqrt[n]{a^{b}}$

Therefore;

$(7x)^{\frac{2}{3}}=\sqrt[3]{(7x)^{2} }\\\\=\sqrt[3]{49x^{2} }$

6 0

3 years ago

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A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 20

Veronika [31]

$Y=0.213x-352$ will represent this linear model shown in the data table.

<h3>What will be the linear model for the given data?</h3>

Put the values of the x in the all given equations and then check the value of y if the value of y matches the given values in the option

So if we put the value x=1980 in the $Y=0.213x-352$ then

$Y=0.213(1980)-352$

$Y=69.74$

These values are closest to 70.1 whereas other options do not satisfy the condition.

Thus $Y=0.213x-352$ will represent this linear model shown in the data table.

To know more about Statistics follow

brainly.com/question/21508412

3 0

2 years ago

20. An amount of money was shared among five boys Ali, Juma, Musa, Khalid and Mustafa. Ali got /8 of the total amount while Juma

Nadusha1986 [10]

Answer:

$x=\frac{18000}{7}=2571\frac{3}{7}$

Step-by-step explanation:

Let the total amount be x

Then Ali got 1/8x With 7/8x left

Juma got 7/40x with 7/10x left

Musa, Khalid and Mustafa got 7/30x each

since $\frac{7}{30}x=600$

7x=18000

$x=\frac{18000}{7}=2571\frac{3}{7}$

3 0

1 year ago

Paul has a tack stuck in his four-wheeler tire. If the tire has a diameter of 36 inches, how far does the tack travel in 62° of

Aleksandr-060686 [28]

Answer:

31pi/90

Step-by-step explanation:

4 0

3 years ago

Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative invers

monitta

Answer:

See Explanation

Step-by-step explanation:

a) Additive inverse of −2

the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.
So the Additive inverse of -2 is 2. ∴ -2+2=0

b) Additive identity of −5

Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number.
-5 + 0 = -5. Therefore, 0 is the additive identity of any real number.

c) additive inverse of 3

Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.

d). multiplicative identity of 19

an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied
Multiplicative identity if 19 is 1 only, since 19 x 1 = 19.

e) multiplicative inverse of 7

Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.

d) | 11-5|×|1-5|

| 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24

8 0

3 years ago