Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour. Tori wrote this expression to determine the distance she would travel into outer space. (3.21 × 103)(1.13 × 105) Estimate the distance travelled. Almost-equals30 × 1015 meters Almost-equals3 × 108 meters Almost-equals30 × 108 meters Almost-equals3 × 1015 meters

Answer:

exact form = 1/625

decimal form = 0.0016

The expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]

From the question,

We are to evaluate 5^-4.

First, we will write the expression properly.

The given expression is 5⁻⁴

Now, we will write the expression as a fraction

From one of the laws of indices, we have that

[tex]a^{-x} =\frac{1}{a^{x} }[/tex]

Therefore,

[tex]5^{-4} =\frac{1}{5^{4} }[/tex]

In simplest form

[tex]\frac{1}{5^{4} } = \frac{1}{625}[/tex]

Hence, the expression written as a fraction in simplest form is [tex]\frac{1}{625}[/tex]

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Answer:

Robyn model makes more sense and Mark's is nonsense

Step-by-step explanation:

In this question ,calculations not required .All we have to do is consider each model logically .

Marks

Marks model shows 20 rather than 2 which means 200 is 10 times as much as 20. It does not make any sense.

Robyn

Robyn model shows 2 which means 200 is 100 times as much as 2 and this is not only correct but also makes sense because 100 *2=200

Answer:

A

Step-by-step explanation:

It would be "a" because the x points are all different, as seen on the others they all have at least one similar x.

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{A. 7 / 18}[/tex]

[tex]\text{Convert 2 4/7 into an improper fraction:}\\\\2*7 + 4 = 18 \\\\\text{(To find the numerator of the fraction)}\\\\\text{Fraction in improper form: 18/7}\\\\\text{Reciprocal of fraction: Swap numerator and denominator:}\\\\18/7 \text{ becomes } 7 / 18[/tex]

Answer:

RS = 2.4 cm

Step-by-step explanation:

given:

ST = 1.6cm

RT = 4 cm

RS + ST = RT

plugin values into the equation:

RS + 1.6 = 4

RS = 4 - 1.6

RS = 2.4 cm

Answer:

72

Step-by-step explanation:

Answer:

72 m

Step-by-step explanation:

14x4=56

4x4=16

56+16=72

Answer:

don't know answer what is answee

Answer:

13

Step-by-step explanation:

This is a division problem.

$104/$8 = 13

Answer: 13

Hey there! I'm happy to help!

To write a percentage as a decimal, you move the decimal place to the left two digits, so 15.8% as a decimal is 0.158.

To find the percentage of a certain number, you multiply it this percent by the certain number.

0.158×43000=6794

So, Sarah will have to pay $6,794.

Have a wonderful day! :D

Answer:look it up on quizlet

Step-by-step explanation:

Answer: The dimensions of the frame:.

W= 2√10 or about 6.3245 inches

L= 4√10 or about 12.6491 inches

Step-by-step explanation:

This would be so much easier if the area of the box was 72. Then the dimensions of the frame would be 6 × 12. So just a little bit larger and more complicated.

Here the equation is w(2w)=80

2w^2 = 80 (2w is easier to work with than L/2).

w^2=40 (^2 means squared)

√w^2 = √40 square root of both sides: Factor 40. Take out√4

W = √4*10

W= 2√10

L= 2w = 4√10

6.3245 × 12.6491 = 80

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

Total No. of Subsets = 128

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

Total No. of Proper Subsets = 127

The total number of subsets is 128 and the total number of proper subsets is 127 and this can be determined by using the given data.

Given :

The set of days of the week.

The following steps can be used in order to determine the number of subsets and the number of proper subsets:

Step 1 - According to the given data, the set is given below:

S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

Step 2 - Now, the total number of subsets is given by the formula [tex]2^n[/tex] where 'n' is the number of elements of the set.

[tex]{\rm Total\;Subsets} = 2^7\\{\rm Total\;Subsets} = 128[/tex]

Step 3 - Now, the total number of proper subsets is given by the formula [tex](2^n-1)[/tex] where 'n' is the number of elements of the set.

[tex]{\rm Total\; Proper\; Subsets}=2^7-1\\{\rm Total\; Proper\; Subsets}=127[/tex]

a) The total number of subsets is 128.

b) The total number of proper subsets is 127.

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Answer:

$9.44

Step-by-step explanation:

51.45 x 0.18 = $9.44

Answer:

putting roots on both sides,

[tex] \sqrt{(2x - 3)} {}^{2} = \sqrt{81} [/tex]

or, 2x-3 =9

or, 2x= 9+3

or, 2x = 12

Or, x = 12÷2

:. x=6

Answer:

50 mph

Step-by-step explanation:

Answer:

$179.1

Step-by-step explanation:

Total area to be painted = 2,250 sq.ft

area covered by per gallon of paint = 250 sq.ft

Hence, gallons of paint required to paint 2,250 sq.ft is...

2250/250 = 9

so, 9 gallons of paint are required to paint 2,250 sq.ft

cost per gallon of paint = $19.90

so, cost of 9 gallons is...

19.90*9 = 179.1

The total money that Kathy will spend for painting the outside of her house is $179.1.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given is the Kathy who is painting the outside of her house. Its area is 2,250 square feet. Each gallon of paint covers 250 square feet and costs $19.90.

Area of the outer house = [A] = 2250 ft²

Area covered by 1 gallon of paint = [a] = 250 ft²

Therefore, the total gallons of paint needed = (2250/250) = 9 gallons.

Cost of 9 gallons of paint will be = 19.90 x 9 = 179.1

Therefore, the total money that Kathy will spend for painting the outside of her house is $179.1.

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Answer:

b hours

Step-by-step explanation:

100 minus the 10 on the jacket  equals 90. 90 divided by 15 is 6

Answer:

Your answer would be 1440

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

45 times 32 gives you the product of 1440

Answer:

-125z³

Step-by-step explanation:

-5 times - 5 = 25 canceling negative

125 times -5 = -125

zXzXz = z to power of 3 =z³

Answer:

h(2)= 8

Step-by-step explanation:

h(2) = 2^2 +2(2)

4 + 4

h(2)=8

Answer:

Her temperature was 99.5°

Step-by-step explanation:

103.2 - 3.7 = 99.5

Answer:

[tex]27x^{18}[/tex]

Step-by-step explanation:

[tex]\left(3x^6\right)^3[/tex]

Separate [tex]3x^6[/tex]:

[tex]3^3\times\left(x^6\right)^3[/tex]

[tex]27\times\left(x^6\right)^3[/tex]

[tex]27x^{6\times3}[/tex]

[tex]27x^{18}[/tex]

Answer:

$62.5 is the answer

Step-by-step explanation:

gimme brainly pls :3

Answer:

50 × $ 1.25

mutiply it you will get your answer.

Answer:

i cant see the exponent sorry

Step-by-step explanation:

Answer:

x=72

Step-by-step explanation:

Start with [tex]\frac{x}{3}[/tex]=24

Using the multiplication property of equality, multiply each side by 3

x=72

Answer:

6893

Step-by-step explanation:

Answer:

6893 is the nearest whole number

Answer:

y= -4x-7 or 4x+y= -7

Step-by-step explanation:

we know y=mx+c

given,

m=-4 c=-7

the equation y= -4x-7 or 4x+y= -7

thank u

Answer:

y=-4x-7

Step-by-step explanation:

Hi there!

We are given that the slope of a line is -4, and the y intercept of this same line is -7

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept, hence the name

As we are given the values for both the slope and the y intercept of this line, we can immediately substitute those values into the equation

Let's start with the slope; substitute -4 as m in the equation

y=-4x+b

Now with the y intercept; substitute -7 as b into the equation

y = -4x - 7

Hope this helps!

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The true statements are,

π is irrational because π is a repeating decimal.

7√ is irrational because 7 is not a perfect square.

7.1234… is irrational because it is a nonterminating, nonrepeating decimal.

7√ is rational because 7 is not a perfect square.

Irrational number are real numbers that cannot be expressed as a ratio of two integers.

Now we have,

→π is irrational because π is a repeating decimal.

Since, the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.

Hence π is irrational.

⇒This statement is true.

→√7 is irrational because 7 is not a perfect square.

Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.

Therefore,√7 is irrational

⇒This statement is true.

→7.1234… is irrational because it is a non terminating, non repeating decimal.

Since,the value of decimal in 7.1234… goes on forever and repeating.

Therefore,7.1234… is irrational.

⇒This statement is true.

→√7 is rational because 7 is not a perfect square.

Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.

Therefore,√7 is irrational

⇒This statement is true.

→π is irrational because π is not a repeating decimal.

π is irrational because  the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.

⇒This statement is false.

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A. The average speed was 36 mph.

B. The average speed on the drive from LA to Irvine was 25mph.

C. The total time he spent driving to and from the meeting was about 3 hours and 5 minutes.