What is the distance between (-9,-6) and (-2,2)?

At the local gas station gasoline costs $2.75 for per gallon and diesel costs $3.02 per gallon. Gabriel needs to purchase 15.2 g

Ainat [17]

Answer:

The total amount paid by Gabriel at the local gas station is $70.49.

Step-by-step explanation:

Cost of gasoline per gallon = $2.75

Cost of diesel per gallon = $3.02

Amount of gasoline Gabriel needs = 15.2 gallons

Amount of diesel Gabriel needs = 9.5 gallons

Compute the total amount paid by Gabriel at the local gas station as follows:

Total Cost = Cost of gasoline × Amount of gasoline

+ Cost of diesel × Amount of diesel

$=(2.75\times 15.2)+(3.02\times 9.5)\\\\=41.8+28.69\\\\=70.49$

Thus, the total amount paid by Gabriel at the local gas station is $70.49.

7 0

3 years ago

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Mariulka [41]

Answer:

a=13m

Step-by-step explanation:

that's it in the picture

6 0

2 years ago

Read 2 more answers

PLEASE HELP!!

PSYCHO15rus [73]

Answer:

The bird is approximately 9 ft high up in the tree

Explanation:

The required diagram is shown in the attached image

Note that the tree, the cat and the ground form a right-angled triangle

Therefore, we can apply special trigonometric functions

These functions are as follows:

$sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}$

Now, taking a look at our diagram, we can note the following:

α = 25°

The opposite side is the required height (x)

The adjacent side is the distance between the cat and the tree = 20 ft

Therefore, we can use the tan function

This is done as follows:

$tan(\alpha)=\frac{opposite}{adjacent}\\ \\ tan(25)=\frac{x}{20}\\ \\x=20tan(25) = 9. 32 ft$ which is 9 ft approximated to the nearest ft

Hope this helps :)

5 0

4 years ago

Please help!! Math | 25 points :)

arlik [135]

Values of the composite function:

$(g\cdot f)(-1)=6$

$(g\cdot f)(0)=7$

$(f\cdot g)(-1)=3$

$(f\cdot g)(4)=2$

Step-by-step explanation:

Given two functions f(x) and g(x), their composite function is given by

$(f\cdot g)(x) = f(g(x))$

Which means using the output value of g(x) as input for f(x).

Let's start by computing

$(g\cdot f)(-1)$

First, we compute the value of f(-1), which is (from the graph)

f(-1) = 1

Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:

$(g\cdot f)(-1)=6$

Now we evaluate

$(g\cdot f)(0)$

First, we compute the value of f(0), which is (from the graph)

f(0) = 0

Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:

$(g\cdot f)(0)=7$

Now we evaluate

$(f\cdot g)(-1)$

First, we compute the value of g(-1), which is (from the graph)

g(-1) = 5

Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:

$(f\cdot g)(-1)=3$

Finally we evaluate

$(f\cdot g)(4)$

First, we compute the value of g(4), which is (from the graph)

g(4) = 4

Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:

$(f\cdot g)(4)=2$

Learn more about composite functions:

brainly.com/question/2723982

brainly.com/question/2456302

brainly.com/question/1949601

brainly.com/question/1900154

#LearnwithBrainly

6 0

3 years ago

If mc019-1.jpg and n(x) = x – 3, which function has the same domain as mc019-2.jpg?

Eddi Din [679]

We know that m o n(x) = m(n(x))

This means

       (x-3) + 5 x+2
m(n(x)) =  ------------- = --------
   (x-3) -1 x-4

The domain of this function is all real numbers - {4}

The function with the same domain is h(x) = 11/x-4

3 0

3 years ago

Read 2 more answers