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oksian1 [2.3K]
2 years ago
9

Karl set out to Alaska in his truck.

Mathematics
1 answer:
Ivenika [448]2 years ago
8 0

Considering the linear function described, 500 liters of fuel were initially in the tank.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Researching this problem on the internet and looking at the graph, we have that when x = 0, y = 500, that is, the y-intercept is of 500. From the bullet points, the y-intercept is the initial value, hence 500 liters of fuel were initially in the tank.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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Which expression is equivalent to the one below?
FromTheMoon [43]
9 divided by 13 = 9/13

None of the answer above
Should be: 9 • 1/13
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3 years ago
In quadrilateral QRST, QS = RT.IS QRST a rectangle?<br> a:no<br> b:cannot be determined <br> c:yes
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Answer:

C

Step-by-step explanation:

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3 years ago
What is the midpoint between 3.99 and 4
asambeis [7]

Answer:  

3.995

Step-by-step explanation:

A midpoint is defined as a point that is exactly in the middle between two other points. The midpoint between two numbers is the number exactly in the middle of the two numbers. Calculating the midpoint is the same thing as calculating the average of two numbers. Therefore, you can calculate the midpoint between any two numbers by adding them together and dividing by two.

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3 years ago
A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centime
ASHA 777 [7]

Answer:

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

Step-by-step explanation:

Given;

diameter of the hemisphere, d = 14 cm

radius of the hemisphere, r = d/2 = 14/2  = 7 cm

The volume of the hemisphere is calculated as;

V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7}   \times (7 \ cm)^3\\\\V = 718.67 \ cm^3

The cubic centimeters of water it will take to fill the bowl is 718.67 cm³

4 0
3 years ago
Write a polynomial expression, in simplified form, that represents the AREA of the blanket and use the expression to evaluate th
pochemuha

Answer:

Polynomial expression that represents the area of blanket:

A(x)=(6x^2+5x-21)cm^2

If x=2: A(2)=13cm^2  

Step-by-step explanation:

The area of the rectangle can be calculated with the formula:

A=lw

Being l the lenght of the rectangle and w the width of the rectangle.

In this case, the lenght and the width are represented with:

l=(3x+7)cm

w=(2x-3)cm

Substitute them into  A=lw:

 A(x)=(3x+7)(2x-3)

Then:

Use Distributive property (Remember the Product of powers property: b^a*b^c=b^{(a+c)} ):

A(x)=(3x+7)(2x-3)\\A(x)=6x^2-9x+14x-21

Add like terms:

A(x)=(6x^2+5x-21)cm^2 (Simplied form)

Evaluate x=2:

A(2)=(6(2)^2+5(2)-21)cm^2\\A(2)=(6(4)+10-21)cm^2\\A(2)=(24-11)cm^2\\A(2)=13cm^2

6 0
4 years ago
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