An electric car traveled a record of 321.8 miles in one hour. At this rate, how far would it travel in 15 minutes?

Answer:

Step-by-step explanation:

we know ∠K is 90° by Thales theorem

then

180 = 90 + 4x-1 + 4x -5

96 = 8x

12 = x

x = 12

∠JLk = 4(12)-1

∠JLk = 47°

Answer:

Length = 22.98 feet

Width = 9.66 feet

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Area of rectangle = 222 feet²

Translating the word problem into an algebraic expression, we have;

L = 3W - 6 ...... equation 1

We know that the area of a rectangle is given by the formula;

A = L * W

Substituting

222 = L * W ....equation 2

Substituting eqn 1 into eqn 2, we have;

222 = (3W - 6) * W

222 = 3W² - 6W

Rearranging the equation, we have;

3W² - 6W - 222 = 0

Next, we would use the quadratic formula to solve for the roots.

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 3, b = -6 and c = -222

Solving the quadratic equation using the quadratic formula;

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the equation, we have;

[tex] x = \frac {-(-6) \; \pm \sqrt {6^{2} - 4*3*(-222)}}{2*3} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - (-2664)}}{6} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 + 2664}}{6} [/tex]

[tex] x = \frac {6 \pm \sqrt {2700}}{6} [/tex]

[tex] x = \frac {6 \pm 51.96}{6} [/tex]

[tex] x_{1} = \frac {6 + 51.96}{6} [/tex]

[tex] x_{1} = \frac {57.96}{6} [/tex]

x1 = 9.66

We do not need the negative value of x, so we proceed.

Therefore, Width, W = x1 = 9.66 feet

For the length;

L = 3W - 6

L = 3(9.66) - 6

L = 28.98 - 6

L = 22.98 feet

Answer:

y = 4x -1

Step-by-step explanation:

You use the equation y = mx + b

m is the slope, so you just substitute 4 for m, and b is the y-intercept, so you substitute -1 for b

Answer:

$11,640

Step-by-step explanation:

Answer:

Step-by-step explanation:

look for another phone company then

Answer:

Median

Step-by-step explanation:

Median will be misleading  are not asking for the midd;e price they are asking for the average price in this case you will use mean to find

Answer:

22

Step-by-step explanation:

Count the dot

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

x + 14 = 5x - 74 (corresponding angles are equal to each other)

[tex]x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ \frac{88}{4} = x \\ 22 = x[/tex]

Answer:

22

Step-by-step explanation:

Angles x + 14 and 5x - 74 are adjacent angles.

Adjacent angles are equal.

5x - 74 = x + 14

5x - x = 14 + 74

4x = 88

x = 88 / 4

x = 22

Answer: either B. or C. ( at least i tried. )

Answer:

The square.

Step-by-step explanation:

perimeter is found by add ing all sides, so 3+3+3+3= 12 while 3+3+2+2= 10

Answer:

1

Step-by-step explanation:

By question it's given that ,

=> h(x) = -x - 1

=> h(-2) = -(-2)-1

=> h(-2) = 2 - 1

=> h(-2) = 1

Answer:

the ans is 1 hope ut may help u

Step-by-step explanation:

x=-2

x = -(-2) -1

x=2-1

x=+1

Problem 1

Answers:

It costs 1.72 dollars to send a letter that is 1.5 ounces

It costs 1.72 dollars   to send a letter that is 2 ounces

In short, both answers are  1.72 dollars

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Explanation:

The piecewise function may seem really ugly and complicated, and I can understand why many don't like them, but they aren't too bad once you get used to it.

A piecewise function is simply a collection of many functions glued together. Instead of listing four different functions, your teacher has combined them all into one super function of sorts.

Here are the rules for this function

As you can see, the definition of F(w) will change depending on what w is.

If the weight is w = 1.5 ounces, then we're on the interval [tex]1 < w \le 2[/tex] since 1.5 is between 1 and 2. So we go for the second definition shown above and we conclude that it will cost $1.72 to send this 1.5 ounce letter.

If you wanted, you could rewrite those four bulleted points into this equivalent form

which is a less mathematical way of stating it. It might also help to make it into a chart, which would help customers better who may not want to deal with math.

A letter that's 2 ounces will cost $1.72 as well since w = 2 makes [tex]1 < w \le 2[/tex] true.

In short, both the 1.5 ounce and 2 ounce letters cost $1.72 each.

===========================================================

Problem 2

Answer: The graph is shown below (attached image)

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Explanation:

We have what is called a step function, or a staircase function. Either name will work. The graph consists of the horizontal portion of the stairs, but the vertical parts of the stairs are not drawn (or else we wouldn't have a function due to the vertical line test).

Note the placement of the open and closed endpoints. An open endpoint excludes the value in question, while a closed endpoint includes the value.

For instance, we have an open endpoint at (1, 1.72) while there's a closed endpoint at (1, 1.15). Each closed endpoint is directly connected to the "or equal to" portion of the inequality sign, and each open endpoint does not have the "or equal to" portion.

As the graph shows, we basically have the a certain flat cost for the four different regions. This corresponds to the costs given in the piecewise function. Each height is drawn from the list {1.15, 1.72, 2.29, 2.86}

The point labels of A,B,C,D,E,F,G,H are optional. I only put them in there to help identify which endpoints are open or closed. Points on the left side of each segment, or horizontal stair component, are open endpoints. Points on the right side are closed endpoints.

Answer:

D. 49

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = pi r^2).

so putting in your numbers given you get 7^2

which equals 49

Answer:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Required

The inverse function

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Replace f(x) with y

[tex]y = \frac{2x}{7} + 4[/tex]

Swap x and y

[tex]x = \frac{2y}{7} + 4[/tex]

Multiply through by 7

[tex]7x = 2y + 28[/tex]

Solve for 2y

[tex]2y = 7x - 28[/tex]

Solve for y

[tex]y = \frac{ 7x-28}{2}[/tex]

Factorize

[tex]y = \frac{ 7(x-4)}{2}[/tex]

Write as:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Answer (9v-10)(9v+10)

Answer:

The area of the trapezium is 18 ft²

Step-by-step explanation:

Given;

Two parallel sides of the polygon as  follows;

The first parallel side = 1 ft + 4 ft = 5 ft

The second parallel side = 4 ft

If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.

The area of a trapezium is calculated as;

[tex]A rea= \frac{1}{2} (sum \ of \ parallel \ sides) \times height\\\\Area = \frac{1}{2} (5 \ + \ 4) \times 4\\\\Area = 18 \ ft^2[/tex]

Therefore, the area of the trapezium is 18 ft²

Answer:

the answer is

8:24

Step-by-step explanation:

hope it helps

Answer:

B

Step-by-step explanation:

I'm not sure if it's right but you can try it

Answer:

answer: 30 in sq

Hope that helps!

Answer:

D. 2 1/4

Step-by-step explanation:

8 7/4 - 7

9 3/4 - 7

2 1/4

The graph is decreasing as we move about the x-axis from Left to right. so the answer is A

Answer:

x = 5.56

Step-by-step explanation:

Sin(17) = [tex]\frac{x}{19}[/tex]

=> Isolate the "x"

Sin(17) * 19 = x

5.56 = x

Hope this helps!

Answer:

An equation is c = 15m

Step-by-step explanation:

Answer:

48+x/x=7/1

48+x=7x

6x=48

x=8

no. of girls = 8

no.of boys= 48+8

= 56

The answer is 8

Answer:

8 girls

Step-by-step explanation:

Ratio boys to girls = 7:1

There area 48 more boys than girls

First lets make an equation

7x - 1x = 48

6x = 48

x = 8

There are 8 girls

Check:

7*x : 1*x =

56 : 8

56 - 8 = 48

Correct

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

C. 59/100

Step-by-step explanation: