Jessica is returning home from a trip. The function d(t)=458-60t models the distance, in miles, that Jessica is from her house t hours after she began returning home. How far is Jessica from her home 5 minutes after she began returning home?


A.

5 miles


B.

158 miles


C.

300 miles


D.

453 miles

Answers

Answer 1

Answer: D. 453 miles .

Step-by-step explanation:

Given: The function [tex]d(t)=458-60t[/tex] models the distance, in miles, that Jessica is from her house t hours after she began returning home.

At t = 5 minutes = [tex]\dfrac{5}{60}[/tex] hour     [1 hour = 60 minutes],

Distance covered by Jessica in 5 minutes = [tex]d(\dfrac{5}{60})=458-60(\dfrac{5}{60})[/tex]

[tex]=458-5=453\ miles[/tex]

Jessica is 453 miles from her home after 5 minutes she began returning home.

Hence, the correct option is D. 453 miles .


Related Questions

What is the product of 5 and 8 square root 200 in the simplest radical form

Answers

[tex]\sqrt{2}[/tex]Answer:

400[tex]\sqrt{2}[/tex]

Step-by-step explanation:

5 * 8[tex]\sqrt{200}[/tex]

[tex]\sqrt{200}[/tex] = [tex]\sqrt{100 * 2}[/tex] = [tex]\sqrt{100}[/tex] * [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex]

5*8(10[tex]\sqrt{2}[/tex]) = 400[tex]\sqrt{2}[/tex]

When graphing and using the slope-intercept equation, the slope top number tells us to do what? and the bottom number tells us to do what?

Answers

Answer:

Rise over Run

Step-by-step explanation:

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0.

Select all that apply.
A direct variation equation is graphed. The point (6, 4) is on the graph. Which of the following points are also on the
graph of the equation?
(3,2)
(-9,-6)
(-12,8)
(-6,-3)

Answers

It is everyone of those except for (-6, 3).

Step-by-step explanation:

4 / 6 = 2/3

2/3 x -9 = -6

2/3 x -12 = -8

2/3 x 3 = 2

2/3 x -6 = -4

Frank’s Sports store has a 20% off sale on all of its merchandise. How much is the discount on a baseball glove that originally costs $25?

Answers

Answer:

if they are asking how much the percentage is in money here is how you do it: 20x25 divided by 100

20%-----5$

If they ask how much the baseball glove would cost after the discount, it would be

25-5

so the total would be after the discount: 20$

Step-by-step explanation:

Find the value of the variables I’ll mark the brainiest!

Answers

Answer:

x=15, y=12, z=20

Step-by-step explanation:

y is the geometric mean of the two segments it divides.

9 · 16 = y^2

y=12

Use the pythagorean theorem to find x and z.

16^2 + 12^2 = z^2

z^2 = 400

z=20

9^2 + 12^2 = x^2

x^2 = 225

x=15

The slope of the line below is -3. Use the coordinates of the labeled point to
find a point-slope equation of the line.

Answers

Answer: y+7= 3(x-5) C

Step-by-step explanation:

an = -15 + 5(n – 1)
Find the 21st term of the sequence.

Answers

Answer:

[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]

85 the 21st term of the sequence.

What is Arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

here, we have,

an = -15 + 5(n – 1)

so,

a_21= -15+(21-1)5

      =-15+100

      =85

Hence, 85 the 21st term of the sequence.

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2c +3= -11
Remember:

Answers

Answer:

-7

Step-by-step explanation:

Hey there

Let's solve your equation step-by-step.

2c+3=−11

Step 1: Subtract 3 from both sides.

2c+3−3=−11−3

2c=−14

Step 2: Divide both sides by 2.

2c/2 = -14/2

c=−7

Have a wonderful day

Solve the system of linear equations by susbitution! Show your work please!!!

Answers

Answer:

x=5, y=4

Step-by-step explanation:

-3x+5y=5

y=x-1

substitute y

-3x+5(x-1)=5

-3x+5x-5=5

2x=10

x=5

y=x-1

y=5-1=4

Which expression is equivalent to 3k + 5l + 6l + 2k?

A) 8k + 8l

B) 5k + 11l

C) 5k

D) 16

Answers

Answer:

B)5k + 11l

Step-by-step explanation:

3k + 5l + 6l + 2k collect like terms

3k + 2k + 5l + 6l

5k + 11l

hope it's helpful ❤❤❤❤

THANK YOU.

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is 3k+5l+6l+2k.

Group like terms and simplify, we get

(3k+2k)+(5l+6l)

= 5k+11l

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

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A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9. Each character in the password cannot be used more than once.

What is the approximate probability that exactly one of the four characters will be a number?

1%
11%
28%
44%

Answers

28 is the right answer sorry if I’m wrong

The approximate probability that exactly one of the four characters will be a number is 44% option fourth is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9.

Total letters = 26

Total numbers = 10

Total = 10 + 26 = 36

Total possibilities = 36×35×34×33 = 1413720

Password with one number = C(10, 1) = 10

With three letters = C(26, 3) = = 2600

Outcomes = 2600×10 = 26000

Favorable outcomes = 26000×4! = 624000

Probability = 624000/1413720 = 0.44 = 44%

Thus, the approximate probability that exactly one of the four characters will be a number is 44% option fourth is correct.

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Write 23/50 as a number compared to 100

Answers

Answer:

46 blocks would be colored.

Step-by-step explanation:

23/50 = ?/100

23/50 x 2 = 46/100

A metal pipe is 33 3 /4 inches long. If you cut the pipe into pieces that are each 3 3 /4 inches long, how many total pieces will you have?

Answers

3 3/4 = 15/4

We have to deal with each rod since they are not combined.

24/(15/4) = 24(4/15) = 32/5 = 6 2/5

The 2/5 is waste.

6(32) = 192 pieces

4. One number is 16 more than another. The ratio of the smaller number to
the larger number is 3: 7. What is the value of the smaller number?

Answers

Answer:

12

Step-by-step explanation:

So if the difference between the two number is 16 and the distance between the two numbers in the ratio is 4, that means the real numbers are 4 times greater than the ratio (because 4 * 4 = 16).

This means that you can multiply both sides of the ratio by 4 to get the two numbers 3: 7 --> 3*4: 7 * 4 --> 12: 28.

This means that the smaller number is 12.

hope that makes sense!

Given m ||n, find the value of x.
(7X+9)
(9x+5)°

Answers

Answer:

         x = 2

Step-by-step explanation:

(7x + 9)° is corresponding angle to (9x + 5)° angle

Therefore:

m║n      ⇒      (7x + 9)° = (9x + 5)°

(7x)° + 9° = (9x)° + 5°     {subtract (7x)° from both sides}

9° = (2x)° + 5°                    {subtract 5° from both sides}

4° = (2x)°                           {divide both sides by 2°}

 x = 2

−14.4=−0.6p

I’m bisexual

Answers

That’s coolllllllllllllll

nice :) good for u, wish i could just say that straight up lol

Please help me with this one ☝️

Answers

Answer:

D

Step-by-step explanation:

add them together

What is the perimeter, in terms of x, of the triangle shown here?
(7x2 - 12)
(-5x + 30)
(3x2 + 4x)

Answers

Answer:

The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]

Step-by-step explanation:

We need to find perimeter, in terms of x, of the triangle shown here.

The length of side 1: [tex](7x^2 - 12)[/tex]

The length of side 2: [tex](-5x + 30)[/tex]

The length of side 3: [tex](3x^2 + 4x)[/tex]

The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]

Putting values and finding perimeter:

[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]

So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]



11. What is the perimeter of the top of a square pizza box that just manages to hold a circular pizza whose radius is 70 cm?

Answers

Multiply the radius by 2 to get the diameter: 70cm x 2 = 140cm. Then, to find the perimeter of the pizza box, multiply the radius by 4 since there are 4 sides in a square pizza box: 140cm x 4 = 560cm. Hope this helps!

Which graph best represents a function with range -4 ≤ y ≤ 3?

Answers

Answer:

3rd one

Step-by-step explanation:

The range of a function is the set of output values the function can take

The graph that represents the range [tex]-4 \le y \le 3[/tex] is graph (b)

The range of the function is given as:

[tex]-4 \le y \le 3[/tex]

The above inequality can be rewritten as:

[tex][-4,3][/tex]

This means that,

The output values start from -4 and ends at 3 (inclusive).The endpoints are closed values at -4 and 3

The graph that represents this range is graph (b)

Read more about range at:

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what is the percent rate of change in function y = (0.98) ^ x? determine whether the function represents exponential growth or exponential decay​

Answers

C. 2%; exponential decay

You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.

The percent rate of change in given function is -2%

The function represents exponential decay.

Given that:The function: [tex] y = (0.98) ^ x[/tex]To find:Percent rate of change in given function.Is it representing exponential growth or exponential decay?

Finding percent rate of change in given function:


For finding this, first find how much the output y changes if we change x from x to x + 1.

Output when x = x:   [tex]y = (0.98)^x[/tex]

Output when x = x+1:  [tex]y = (0.98)^{x+1}[/tex]

Difference in output if x goes from x to x+1: [tex](0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x[/tex] (this change occurs if we increase input x by 1 unit, thus this also represents the rate)

Rate of change of function per unit increment = [tex]-0.02 \times (0.98)^x[/tex]

The percentage of rate of change is found as:

[tex]\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%[/tex]

Thus, the percent rate of change is -2%

The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.

Learn more about exponential growth or decay here:

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HAAAAAAALLLLLLLP

7th Grade IXL

Answers

Answer: This is middle school math?! Man I feel bad for you...

First one: ZZXY

Middle one: ZYXZ

Last one: ZXZY

Answer:

mark the other guy brainliest I answer so he can get it

Step-by-step explanation:

Help please please please I will mark you as brainlist!

Answers

Answer:

x=2; 7

Step-by-step explanation:

Answer:

For question 4, the answer is 7. The value of x is 2.

For question 5, the value of y is 1.

Hayley's birthday party will cost $27 if she invites 3 guests. How many guests
can there be, at most, if Hayley can afford to spend a total of $36 on her
birthday party? Assume the relationship is directly proportional.

Answers

Answer:

imma say 12 guests

Step-by-step explanation:

sorry if wrong

A farmer bought 36 ducks and 52 pigeons. Approximately how many birds did the farmer buy?​

Answers

the answer is 88, because when you add 52+36 it is equal to 88. <3

What is the absolute value of -7?
1/7
-1/7
-7
7

Answers

Answer:

7 :)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Is 5.6742 rational number

Answers

Answer:

YES

Step-by-step explanation:

please help due asap
dbhdhdhdjdlvdbx

Answers

Answer:

E

Step-by-step explanation:

PLEASE HELP ME! THANK YOU IF YOU DO! ​

Answers

Answer:

100,000 ÷ 1.25

100,000/1.25

80,000/1

80,000

The unit cost of the piece of land is 80,000 per hectare

Step-by-step explanation:

Simplify the expression: 5-−3ℎ −(6-+7ℎ)
a) 11-−4ℎ
b) 11-−10ℎ
c) −-−4ℎ
d) −-−10ℎ

Answers

Answer:

D

Step-by-step explanation:

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