The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving. find D(12) and interpret the meaning in the context of the problem.

Answers

Answer 1

Answer:

D(12) = 2,600 miles

It means a distance of 2,600 miles is already traveled from home after 12 hours

Step-by-step explanation:

To find D(12); all we have to do is to substitute the value of 12 for D

We have this as;

D(12) = 3260-55(12)

D(12) = 2,600

In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours


Related Questions

Which of the following is the function f(x) if f^-1(x) = 5x - 19?

A. f(x) = x - 19 over 5
B. f(x) = x + 19 over 5
C. f(x) = 5x + 19
D. f(x) = x over 5 + 19

Answers

Answer:

number of A is correct answer

Identify the missing parts in the proof.

Given: ∠ABC is a right angle.

DB bisects ∠ABC.

Prove: m∠CBD = 45°

A:

B:

C:

D:

Answers

Answer:

The missing parts of the proof includes;

1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)

2) m∠CBD = m∠ABD (Definition of angle bisector)

3) m∠CBD + m∠ABD  = m∠CBD + m∠CBD (Substitution property of equality)

Step-by-step explanation:

The given details of the proof are;

∠ABC is a right angle = 90°

Line DB is a bisector of ∠ABC

Therefore;

1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate

By the definition of angle bisector, we have;

The angles formed by line DB from ∠ABC are equal,

2) m∠CBD = m∠ABD by the definition of angle bisector

3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality

2 × m∠CBD = 90°

∴ m∠CBD = 90°/2 = 45°

Answer:

A: Given

B: measure the angle ABC = 90

C: angle addition postulate

D: 2 times the measure of angle CBD = 90

Step-by-step explanation:

Hope this helps <3

Does this graph represent a function? Why or why not?

Answers

Answer:

B yes

Step-by-step explanation:

As long as a verticle line intercepts the graph at no more than one point it is a function

Answer:

B. Yes, because it passes the vertical line test

Step-by-step explanation:

no x values are repeated

can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1

Answers

Step-by-step explanation:

everything can be found in the picture

Solve 2x + 6 > 20. OLA X> 18 B. X>7 O c. x


someone help por favor​

Answers

your answer would be x>7 or B :)

Answer:

2x+6>20

2x>20-6

2x/2>14/2

x>7

So your answer would be B

find the height x of the tree

Answers

i think either might be a or b

Answer:

19.8 m

Step-by-step explanation:

To find the height of the tree, we can use the trig ratio tangent:

θ = angle, h = height

tan θ [tex]= \frac{opposite}{adjacent}[/tex]

tan 33° = h / 30.5

h = (tan 33°)(30.5)

h = (0.6494)(30.5)

h = 19.8 m

6x-27=-3x

solve for x:D

Answers

Answer:

6×-27=-3×

+3×

9/9×=27/9

×=3

Which of the quotients are equivalent to -(48/17)

Answers

Answer:

oiie4546

Step-by-step explanation:

Length of radius r ?

Answers

Answer: 10

We know that the radius of a circle is always perpendicular to the tangent. And so apply the Pythagoras theorem.

Answer:

The answer would be 10.

Step-by-step explanation:

We're doing C^2 - B^2 = A^2 since we know the hypotenus. 26 x 26 is 676 and 24 x 24 is 576. Subtract the two products to get 100. The square root of 100 is 10.

Someone please help me ASAP!

Answers

Answer:

x + 1 y+1

Step-by-step explanation:

it translated 1 unit up the x axis and 1 unit y axis

Answer:

reflected across the y-axis and translated 1 to the right and 1 up

Step-by-step explanation:

work out 2/7 divided 7/8

Answers

Answer:

16/49

Step-by-step explanation:

2/ 7÷ 7/8

Copy dot flip

2/7 * 8/7

Multiply the numerators

2*8 =16

Multiply the denominators

7*7 = 49

numerator over denominator

16/49

Answer:

[tex]\frac{16}{49}[/tex]

Step-by-step explanation:

David participating in a 6-day cross-country biking challenge. He biked for 65, 56, 57, 58 , and 67 miles on the first five days. How many miles does he need to bike the last day so that his average (miles) per day ?

Answers

Answer:

Hi

Step-by-step explanation:

Please like I am noob I neeed brainliest

A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. Which system of equations can be used to find s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technology magazine?
A. t = s - 18
10t = 12s + 32
B. s = t - 18
12s = 10t + 32
C. s = t - 18
10s = 12t + 32
D. t = s - 18
12t = 10s + 32

Answers

Answer:

[tex]\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}[/tex]

Step-by-step explanation:

The each issue of the sports magazine, [tex]s[/tex], has 18 fewer pages than each issue of the technology magazine, [tex]t[/tex], we have equation [tex]s=t-18[/tex]. This eliminates answer choices A and D.

The second equation can be written from the fact that the total number of pages in all the sports magazines, [tex]12s[/tex], is 32 more than the total number of pages in all the technology magazines, [tex]10t[/tex]. Thus, we have equation [tex]12s=10t+32[/tex], eliminating answer choice C and leaving answer choice [tex]\boxed{\text{B .}\\\begin{cases}s=t-18, \\12s=10t+32\end{cases}}[/tex]

Which is the best description for the graph below?

A graph decreases from (0, 3) to (9, 0).

Answers

Answer:

Step-by-step explanation:

As we move from (0, 3) to (9, 0), we see x increasing by 9.  This is the 'run.'

At the same time, we see y decreasing by 3.  This is the 'rise.'

The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3

Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.

please answer quickly easy 10 points but please answer quick

Answers

Answer:

He traveled 520 miles

Step-by-step explanation:

8 x 65 = 520

Answer: 520 miles

Step-by-step explanation:

Data: Juan drove 8 hours

Drove at an average Speed of 65 mph

Miles driven=x

Only step: Multiply 65 by 8 which is 520

Explanation: Since Juan drove at an average speed of 65 miles per hour, that means he drove 65 mile for every hour he drove. So since he drove for 8 hours, you multiply 8 hours by 65 miles so that you get get the total amount of hours driven by him.

Don't forget to add "Miles" to the end of your answer because most math teachers tend to want that in an answer like this.

I hope this helps(Mark brainiest if you want to, thanks)

Simplify each of the following by rationalizing the denominator.
please do answer my doubt

Answers

Answer:

(47+21√5)/2

Step-by-step explanation:

Given the expression

7+3√5/7-3√5

= 7+3√5/7-3√5 * (7+3√5)/(7+3√5)

= 49+21√5+21√5+9(5)/[7(7)-9(5)]

= 49+42√5+45/49-45

= 94+42√5/4

= 2(47+21√5)/4

=(47+21√5)/2

Hence the required expression is (47+21√5)/2

Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.

Answers

Answer:

4X+5

Step-by-step explanation:

Dan : X

Harry: X+5

Regan: 2X

X+X+5+2X

Answer:

[tex]Mean = \frac{4x + 5}{3}[/tex]

Step-by-step explanation:

Given:

Dan sold = x

Harry sold 5 more than Dan, that is = x + 5

Regan sold twice as Dan = 2x

[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]

A school survey asked students which candidate they supported for class president. the survey data are shown in the relative frequency table.

Answers

Answer:

C. 24%

Step-by-step explanation:

hope it works

Answer:

39%

Step-by-step explanation:

the volume of a cuboid is 480cm cube,it's breadth and height are 8cm are 6cm respectively find its length​

Answers

Considering the volume of a cube is length × breath × height, we are going to have to use an equation to find the length.

V = l × b × h

480cm³ = L × 8 × 6

Make L the subject.

480 = L × 8 × 6
⁴⁸⁰/₈×₆ = L
10cm = L

Therefore length = 10cm

The histogram below shows the grade ranges for Mrs. Granderson's class.
Student Scores on Test 4
10
8
6
Prequency
60-69
70 - 79
80 - 89
90 - 100
How many students earned an 80 or better on Test 4?
There were
students who earned an 80 or better on the test.

Answers

The answer is 14 , 14 student made 80 or better on test 4

Answer:

The answer is 14.

Step-by-step explanation:

All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.

What’s 1/2 + 1/3? Y’all please help me . And when or if you can give me the answer can you do step-by-step on how you did that so I can do it myself next time?

Answers

Hi! 1/2 + 1/3 is 5/6.

2 + 3 = 5
2 X 3 = 6

= 5/6

I hope this helped if I can help in anyway I would be happy to help you. Goodluck :)

[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{1}{2} + \frac{1}{3} [/tex]

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 2 and 3 is 6.

Now, multiply the L.C.M. with both numerator & denominator.

[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]

[tex]= \frac{3}{6} + \frac{2}{6} [/tex]

Now that the denominators are equal, we can add them.

[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Which of the following graphs is the solution set of -10 < 3x - 4 < 8?

Answers

Answer:

3rd option

Step-by-step explanation:

Solving the inequality

- 10 < 3x - 4 < 8 ( add 4 to each interval )

- 6 < 3x < 12 ( divide each interval by 3 )

- 2 < x < 4

Since -2 less than x and x less than 4

This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.

The solution is represented on the 3rd graph

Answer:

its the 3rd graph

Step-by-step explanation:

A boat heading out to sea starts out at Point AA, at a horizontal distance of 804 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 12^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.

Answers

Answer:

672 feets

Step-by-step explanation:

Using the solution diagram attached, the vertical height, h of the lighthouse ;

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 2 = h / 804

h = tan 2 * 804

h = 28.076 feets

Using h, we can obtain the distance CB :

Tan θ = opposite / Adjacent

Tan 2 = 28.076 / CB

CB = 28.076 / Tan 12°

CB = 132.08860 feets

Distance between A and B

804 - 132.08860

= 671.9 feets

A car was bought for D750,000 and was sold for D775,000 calculate the percentage profit ​

Answers

10% hope this helped

please help guys its urgent

Answers

upen saves the most of his salary every month

Answer:

option B : Upen

Step-by-step explanation:

To find who saves the greatest. Find who spent the least.

That is find the smallest of these fractions.

To find the smallest among the fraction:

Step 1 : make the denominators the same.

Step 2 : to make denominators same find LCM of 8, 4, 3, 6

Step 3: LCM = 24

[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]

[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]

So 2/3 is the smallest fraction,  which means 2/3 spent the least amount from the salary.

Therefore, Upen saves the greatest amount every month.

Find the area of the shape below. GUS PLEASE HEL​

Answers

Answer:

122 squared cm

Step-by-step explanation:

[tex]6*12=72[/tex]

[tex]10*5=50[/tex]

[tex]72+50=122[/tex]

Hope this helps

Answer:

122 squared cm

Step-by-step explanation:

First we split the figure into 2

12 x 6

And,

10 x 5

12 x 6 = 72

and

10 x 5 = 50

Now we add 72 + 50 = 122

The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer: 18.84

Step-by-step explanation:

Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84

If g(x) = √x and h(x) = x^3 - 1, what is g(h(4))

Answers

Answer:

Here, given

g(x) = √x

h(x) = x³-1

For gh(4) , we have to find gh(x), so,

gh(x) = g(x³-1)

        =√x³-1 [Note⇒root is both for x³ and 1]

Now,

gh(4) = √4³-1

        = 3√7 or 7.9

Hope it helps!

Please help quadratic equation!! 20 points

Answers

Answer:

x=4,−2

Step-by-step explanation:

Because Step 1. Move all terms to one side.

{x}^{2}-2x-8=0

x

2

−2x−8=0

2 Factor {x}^{2}-2x-8x

2

−2x−8.

1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?

-4−4 and 22

Step 2. Rewrite the expression using the above.

(x-4)(x+2)

(x−4)(x+2)

and going to;

(x-4)(x+2)=0

(x−4)(x+2)=0

And Step 3. Solve for xx.

1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?

When x-4=0x−4=0 or x+2=0x+2=0

2 Solve each of the 2 equations above.

x=4,-2

x=4,−2

x=4,-2

Our Answer is:

x=4,−2

I Hope It's Helps

Answer:

2 and -4

tso numbers when added gives -2 and 8 incase it's not clear enough.

Solve for y.

-24 = -8y

Simply your answer as much as possible.

Answers

Answer:

Y=3

Step-by-step explanation:

-8 times 3 equals -24

Answer:

y = -3

Step-by-step explanation:

-24 = 8y

Divide both side by 8

-24/8 = 8y/8

-24/8 = y

divide -24 by 8 to get -3

-3 = y

rewrite ..( optional )

y = -3

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