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poizon [28]
3 years ago
7

Stacy needed to fill her gas tank for a road trip. if she spent $45.87 and purchased 11 gallons how much did each gallon cost?

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
4 0
X=gallons
$45.87=Total


11x=$45.87
----   ---------
11       11

x=$4.17
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Use part 1 of the fundamental theorem of calculus to find the derivative of the function. g(x) = x t3 t5 dt 0
salantis [7]

Using the fundamental theorem of calculas the derivative of function g(x)=xt^{3}+t^{5} at x=0 is t^{3}.

Given a function g(x)=xt^{3}+t^{5}.

We are required to find the derivative of the function g(x) at x=0.

Function is relationship between two or more variables expressed in equal to form. The values entered in a function are part of domain and the values which we get from the function after entering of values are part of codomain of function. Differentiation is the sensitivity to change of the function value with respect to a change in its variables.

g(x)=xt^{3}+t^{5}

Differentiating with respect to x.

d g(x)/dx=t^{3}+0  [Differentiation of x is 1 and differentiation of constant is 0]

=t^{3}

Hence using the fundamental theorem of calculas the derivative of function g(x)= xt^{3}+t^{5} at x=0 is t^{3}.

The function given in the question is incomplete. The right function will be g(x)=xt^{3}+t^{5}.

Learn more about differentiation at brainly.com/question/954654

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5 0
2 years ago
Write a positive or negative integer that represents the situation.
Harrizon [31]

Answer:

-42

Step-by-step explanation:

If you withdraw an amount, it means that you are taking it out. On the other hand, if you were to deposit an amount, you are putting money in. Taking something out means that you have less of it, so -42 would be the answer. If you were to deposit an amount, the answer would be +42 since you are adding it in.

3 0
3 years ago
You need to split it in half then multply then add
rusak2 [61]

Answer:

100 ft^2

Step-by-step explanation:

The large upper rectangle has dimensions 12 ft by 23 ft, and thus has area 276 ft^2.  The small lower rectangle is 15 ft by (12 - 7) ft,  or 15 t by 5 ft, and thus has area 75 ft^2.  The total area is

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8 0
3 years ago
The total of a number and -15 equals -6
maria [59]

Answer:

x = 9

Step-by-step explanation:

Create an equation:

x = some number

and = add

other number = -15

x + (-15) = -6

remove () using rule

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add +15 to both sides

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6 0
3 years ago
A rectangle has an area of 0.24 of a square. What are some possibility for the length and width of the rectangle? Tell why
VLD [36.1K]

Answer:

<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>

Step-by-step explanation:

Given that the area is 0.24 square meter

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Let x be the length and y be the width.

Since the area is 0.24 square meter, we have the equation:

Area=x\times y = 0.24, with x and y measures in meters

If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.

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Put  x = 0.25

0.25\times y = 0.24

∴ y = 0.96

Put x = 2

2\times y = 0.24

∴ y = 0.12

8 0
3 years ago
Read 2 more answers
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