A football field measures 300 feet in length. It can also be expressed as approximately

5.7 x 10^n .

If there are 5,280 feet in 1 mile , which is the most reasonable value of n.

Answers

Answer 1

Answer: n=-2

Step-by-step explanation:

Given

The length of the football field is  [tex]300\ ft[/tex]

In the mile, it can be expressed as [tex]5.7\times 10^n\ mile[/tex]

Also, [tex]5280\ ft=1\ mile[/tex] or

[tex]1\ ft=\dfrac{1}{5280}\ miles\\\\1\ ft=1.893\times 10^{-4}\ miles[/tex]

converting [tex]300\ ft[/tex] to miles

[tex]\Rightarrow 300\times 1.893\times 10^{-4}\\\Rightarrow 5.68\times 10^{-2}\approx 5.7\times 10^{-2}[/tex]

Comparing it with the given value [tex]5.7\times 10^n\ mile[/tex]

we get [tex]n=-2[/tex]


Related Questions

8X=35
WHAT IS THE VALUE FOR X THAT MAKES THE EQUATION TRUE?

Answers

X = 4.375 you get this by dividing both sides by 8 so 35/8 gets you 4.375

Answer:

x= 35/8 or 4 3/8

Step-by-step explanation:

8X=35

/8    /8

x= 35/8

x= 4 3/8

Solve for x.

One side = 10
Another side = 9
One side = x
(It's a right triangle.)

Answers

Answer:

x = 4.3588989435406

I hope it's helps you

which relation is not a function? A. {(2, 3), (4, 5), (10, 12), (15, 16) B. {(-5, 20), (6, 13), (8,20),(11,8) C. {(0, 8), (0, -4), (7, 4), (12, 1) D. {(4, 1/4), (9, 1/9), (17, 1/7), (18, 1/8)
please help

Answers

Answer:

C. {(0, 8), (0, -4), (7, 4), (12, 1)

Step-by-step explanation:

hope it help

good luck

3 |3 - 5x| - 8= -8
How many solutions does this Absolute Value Equation have? *
Please!!!!!

Answers

Answer:

3 |3 - 5x| - 8= -8

x = 3/5

Answer:

one solution at 0.6

Step-by-step explanation:

3|3-5x| = 0

|3-5x| = 0

3-5x = 0

-5x = -3

x = 3/5 or 0.6

330 six graders were asked what their favorite sport is. 20% said baseball, how many students said baseball

Answers

Answer:

66

Step-by-step explanation:

10% of 330 = 33

another 10% of 330 = 33

therefore, 20% of 330 = 66

Find the volume of the regular prism

Answers

Answer:

64

Step-by-step explanation:

Here is why:

The formula for Volume is Length * Width * Height

In this case 4*8*2.

Any Questions?

The correct answer is 64 square cm.

The formula to find the volume of a rectangular prism is length x height x width (i.e., lwh).

Input the values first:

4 x 8 x 2

Then calculate the expression:

4 x 8 x 2 = 64

I hope this helps; have a wonderful day!

Can someone help me with this problem? Its due today plz i need help! I will give brainlist if it is right!

Answers

Answer:

A (-4,0), B (0,3) and C (-6,5)

Step-by-step explanation:

The coordinates for A are (-4,-3) B (0,0) and C (-6,2)

From there just add 3 to all theY values

The coordinates of the translated triangle would be A (-4,0), B (0,3) and C (-6,5)

Hope that helps!

4.The number 840 and 8316, written as the products of their prime factors, are 840 = 2 x 3 x 5x 7 and 8316 = 22 x 33 x 7 x11. Hence, find the i. `Smallest whole number that is divisible by both 840 and 8316 ii. Greatest whole number that will divide both both 840 and 8316

Answers

Answer:

a) 83160

b) 12

Step-by-step explanation:

The prime factors of 840 are 2 x 3 x 5x 7*2*2

Prime factors of 8316 are 2*2*11*3*3*3

a) `Smallest whole number that is divisible by both 840 and 8316

We are supposed to find the LCM of the two numbers which is equal to

2*2*11*5*7*3*3*3*2 = 83160

b) Greatest whole number that will divide both both 840 and 8316

2*2*3 = 12

Mr. Glass solved a system of equations using substitution and got the following result:

12= -4

What should he write as his final answer?

Answers

Answer: no solution

Step-by-step explanation:

sin^2A-cos^2B=sin2^B-cos^2A​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trig identity

sin²x + cos²x = 1 , then

sin²x = 1 - cos²x

cos²x = 1 - sin²x

Consider the left side

sin²A - cos²B

= (1 - cos²A) - (1 - sin²B) ← distribute parenthesis

= 1 - cos²A - 1 + sin²B

= sin²B - cos²A

= right side , thus verified

solve the following
x^2-2x-24=0
X^2-11+18=0

Answers

Answer:

x=-11

Step-by-step explanation:

Find the distance between the two points.

(12, 5), (−12, −2)

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

use the formula

√(x2 - x1)² + (y2 - y1)²

here x2 = -12 , x1 = 12 , y2 = -2 and y1 = 5

so just substitute in the formula like this

√ ( -12 -12)² + (-2 - 5)²

√(-24)² + (-7)²

√ 576 + 49

√625

25

Is (–3, –10) a solution to this system of inequalities? y ≥ 7x − 2 y < 4x + 7

Answers

Answer:

No, it is not a solution

Step-by-step explanation:

Given the inequality y ≥ 7x − 2 and y < 4x + 7, they can be combined and written as;

7x-2≤y<4x+7

Equate both values of y, the point of intersection occurs when;

7x-2 = 4x+ 7

7x - 4x = 7 + 2

3x = 9

x = 9/3

x = 3

Substitute x = 3 into y = 7x - 2

y = 7(3) - 2

y = 21 - 2

y = 19

Hence the possible solution will be at (3, 19). Hence the solution (-3, -10) is incorrect

Baking flour mixture was made by combining 4 ounces of bleached flour which costs $8 per
ounce with 16 ounces of unbleached flour which costs $3 per ounce. What is the cost per ounce
of the mixture?

Answers

4 ounces x $8 per ounce = $32

16 ounces x $3 per ounce = $48

4 ounces + 16 ounces = 20 total ounces

$32 + $48 = $80 total cost

$80 / 20 ounces = $4 per ounce cost

In a right triangle, the base is 12 m and the hypotenuse is 15 m. What is the length of height?

A. 81m
B. 9 m
C. 12 m
D. 19.2 m


HELP NOW PLEASE

Answers

Answer:

L = Hyp²-B²

L=15²-12²

L =225 - 144 = 81

L= √81=9

L= 9m

?????????????????????????????

Answers

SA=240sq.cm

have an amazing day <3

Someone help plz make sure it’s right will mark brainiest if it is :)

Answers

Answer:

23

Step-by-step explanation:

Joe jumped 60 inches. Omar jumped 4 feet, 10 inches. Who jumped farther?
Explain your thinking.

Answers

Answer:

Joe jumped farther because 60in is greater than 58in

Step-by-step explanation:

First you need to convert 4ft 10in into just inches in order to compare distances:

there are 12in per foot so 4(12)= 48 add the 10 in =58in

Joe jumped 60in and Omar jumper 58in

Joe jumped farther. All you have to do is convert omars jump into inches. so 4 (number of feet) x 12 (inches in a foot) = 48 inches, then you would add on the 10 inches he jumped. Joe=60 and Omar=59

A shipping crate is packed with unit cubes the length of the crate is four units the width is two units and a height is four units find the volume of the shipping crate

Answers

Answer:

32 unit cubes

Step-by-step explanation:

Volume = length x width x height

Volume = 4 x 2 x 4

Answer:

32 unit cubes

Step-by-step explanation:Volume = length x width x height

Volume = 4 x 2 x 4

Study the function below and then answer the questions that follow. Equation What is the domain of f(x)? What is the range of f(x)?

Answers

Answer:

(a) Domain: All real numbers except -2

(b) [tex]f(x) > -4[/tex]

Step-by-step explanation:

Given

See attachment for f(x)

Solving (a): The domain

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

To get the domain, we consider the inequalities attached to each of the piece-wise function

[tex]x < -2[/tex]

This implies that the values of x is less than -2 i.e.

[tex]x = \{.......,-4,-3\}[/tex]

[tex]-2< x<0[/tex]

This implies that x is greater than -2 and less than 0 i.e.

[tex]x = \{-1\}[/tex]

[tex]x \ge 0[/tex]

This implies that x is greater than or equal to 0 i.e.

[tex]x =\{0,1,2,3,....\}[/tex]

If these values of x are merged, we have:

[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]

[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]

-2 is not included in the above values of x.

Solving (b): The range

From the attached image, we have:

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]f(x) = x, x \ge 0[/tex]

Substitute the greatest value of x in each piece-wise function.

[tex]f(x) = -x - 2, x <-2[/tex]

[tex]x=-2[/tex]

So;

[tex]f(-2) = -2-2 = -4[/tex]

[tex]f(x) = -x^2, -2 < x < 0[/tex]

[tex]x = -2[/tex]

So:

[tex]f(-2) = -2^2 = -4[/tex]

[tex]f(x) = x, x \ge 0[/tex]

[tex]x = \infty[/tex]

So;

[tex]f(\infty) = \infty[/tex]

We have:

[tex]f(-2) =-4[/tex]

[tex]f(-2) =-4[/tex]

[tex]f(\infty) = \infty[/tex]

The smallest value of f(x) is -4

Hence, the range is:

[tex]f(x) > -4[/tex]

Answer:

Domain is

B)

(-infinity, -2) U (-2, infinity)

Range is (-4, infinity)

Step-by-step explanation:

go it correct

edge2022

In a cookie jar, ¼ of the cookies are chocolate chip, and ½ of the rest are peanut butter. What fraction of all the cookies is peanut butter?

Answers

1/8 of the cookies are peanut butter

imagine you divide the jar into 4 parts and one of those parts is filled with chocolate chip. then, you divide all those four parts in half and end up with eight parts. one of those parts is filled with peanut butter cookies.

John wants to rent some office space for 8 years. The lease states that the annual rent is $62,000 for the first year and will increase by 4% each additional year of the lease. What will the total rent be for the entire 8-year lease? Round your answer to the nearest hundredth.
Group of answer choices
$496,000.00
$84,851.28
$571,282.03
$515,840.00

Answers

Answer:

The correct answer is $515,840.00

Step-by-step explanation:

Answer:

The total rent for the entire 8-year lease to the nearest hundredth is $84,851.28.

Step-by-step explanation:

The increment is 4% each year.

What is increment?

Increment is the amount or degree by which something changes especially the amount of positive or negative change in the value of one or more of a set of variables.

What is lease?

A lease is a legal, binding contract outlining the terms under which one party agrees to rent property owned by another party.

What is hundredth?

In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts.

We use the formula,

[tex]A=P(1+\frac{R}{100})^{n}[/tex]

[tex]=62000(1+\frac{4}{100}))^{8} \\=62000(\frac{104}{100})^{8}\\ =84851.28[/tex]

The total rent for the entire 8-year lease to the nearest hundredth is $84851.28.

To know more about lease, hundredth, increment here

https://brainly.com/question/14804073

#SPJ2

HELP!(WILL GIVE BRAINLIEST) I ALSO HAVE LOTS OF POINTS IN MY PROFILE.

Julie Fargus deposits $450 in a savings account at City Bank. The account pays an annual interest rate of 3.125 percent. She makes no other deposits or withdrawals. After nine months the interest is calculated. How much simple interest does her money earn?

Answers

Answer:

$10.55

Step-by-step explanation:

Which item is discounted by more than 15%
A. $199.99 smartphone on sale for $167.99
B. $28,100 car on sale for $24,750
C. $58 jeans on sale for $50
D. $1.99 song download on sale for $1.75

Answers

Answer:

A

Step-by-step explanation:

Find m<1, m<2, and m<3

Answers

Answer:

<1 = 113

<2 = 67

<3 = 113

Step-by-step explanation:

m<2 = 67 (because of vertical angles)

<1 + 67 = 180

<1 = 113

<1 = <3 because of vertical angles

How much time does it take for a bird flying at a speed of 45km/h to travel a distance of 1800km?

Answers

Answer:

40 hours

Step-by-step explanation:

Time=Distance/Speed

Time=1800/45

Time=40 hrs

Answer:

[tex]40h[/tex]

Step-by-step explanation:

[tex]speed = \frac{distance}{time} \\ time = \frac{d}{s} \\ = \frac{1800km}{45kmh ^{ - 1} } \\ = 40h[/tex]

hope this helps you.

Can I have the brainliest please?

Have a nice day!

HELP ME PLS PLS PLS OH PLS​

Answers

Answer:

49 - 49 = 0

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

Give brainliest! F (x) = x³ + x² - x + 2 and G (x) = x² + 5 What is (FG)(x)?

Answers

Answer:

Step-by-step explanation:

My guess is x^5+x^4-X+7

Answer:

(F ° G)(x) = x⁶ + 16x⁴ + 84x² + 147

Step-by-step explanation:

Assuming that (FG)(x) = F ° G (x) = F(G(x))

(F ° G) (x) = f(g(x)) = (x² + 5)³ + (x² + 5)² – (x² + 5) + 2

_________________________________

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a + b)² = a² + 2ab + b²

_________________________________

(F ° G) (x) =

((x²)³ + 3(x²)²(5) + 3(x²)(5)² + (5)³) + ((x²)² + 2(x²)(5) + (5)²) + (-x² – 5) + 2 =

(x⁶ + 15x⁴ + 75x² + 125) + (x⁴ + 10x² + 25) + (-x² – 5) + (2) =

x⁶ + 16x⁴ + 84x² + 147

plz help will mark brainlist

Answers

Answer:

1. 1/7

2. 1/4

Step-by-step explanation:

maths

A cylinder has a height of 17 inches and a radius of 8 inches what is the use π = 3.14 and round your answer to the nearest hundredth

Answers

Answer:

3418.05

Step-by-step explanation:

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