consider the given figure

Answer:

17 Gallons

Step-by-step explanation:

From the table, it is given:

1 gallon = $1.05

$1.05 = 1 gallon

$1 = [tex]\frac{1}{1.05}[/tex] gallons

$17.85 = [tex](\frac{1}{1.05} )(17.85)\\= 17 gallons[/tex]

Answer:

8^5

Step-by-step explanation:

division is just minusing exponents

The correct value of this expression is 8⁵

A fraction is also a division. When we divide power with equal bases - we subtract the exponents and keep the base.

Therefore, the answer correct is 8⁵

Answer:

Step-by-step explanation:

According to table the total frequencies is:

Probability = Favorable outcome frequency / total frequency

Find each probability according to equation above:

The experimental probability of the event are: 3/10; 3/5; 7/10.

Frequencies=1 + 3 + 6

Frequencies = 10

Hence:

Tossing 2 pink:

P(2 P) = 3/10

P(2 P) =30%

Tossing 1 blue and 1 pink:

P(B and P) = 6/10

P(B and P)=60% or 3/5

Not tossing all pink:

P(not all P) = (10 - 3)/10

P(not all P)= 7/10

P(not all P)=70%

Therefore the experimental probability of the event are: 3/10; 3/5; 7/10.

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Answer:

  4.56

Step-by-step explanation:

After this equation is simplified, it is solved the way any 1-step linear equation is solved.

__

1.4t -0.4(t -3.1) = 5.8 . . . . . . given

1.4t -0.4t +1.24 = 5.8 . . . . . eliminate parentheses

t +1.24 = 5.8 . . . . . . . . . collect terms (now you have a 1-step equation)

t = 4.56 . . . . . . . . .  .subtract 1.24

4.56 is the answer

I got 100% on the quiz
I hope this helps
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Proof my answer is correct and not Incorrect

The angle of depression from the aeroplane to the ground​ will be 30 degrees.

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

The angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.

As we know that the perpendicular theta is height and the base ratio is angle tan theta.

tanФ = Height / Base

tanФ  = 10 / 10 √3

tanФ = 1 / √3

Ф = tan⁻¹( 1 / √3 ) = 30°

Therefore the angle of depression from the aeroplane to the ground​ will be 30 degrees.

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[tex]~~~~~~x^2 -10x +10 =0\\\\\implies x^2 -2 \cdot 5 \cdot x +5^2 -5^2 +10 = 0\\\\\implies (x-5)^2 -25+10 = 0\\\\\implies (x-5)^2 -15=0\\\\\implies (x-5)^2 = 15[/tex]

Step-by-step explanation:

One hundred is 10 tens. Using this information, you can divide 90 by 10 to calculate the hundreds, and get 9 hundreds, or 900

It makes that every time we flip a fair the probability of flipping tails is 50%.

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If it is equally likely and unlikely that the event would happen, it would have a probability of 0.5

Probability of flipping tails = number of tails / number of sides

1/2 = 0.5 = 50%

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A portion of Elgin’s presentation which the given information fits is: B. a solution to the problem.

A presentation is act that involves the process of speaking to an audience (listeners), so as to formally share and explain an idea, piece of work, subject matter (topic), product, or project, especially for the purpose of proffering a solution to a particular problem.

In this context, we can infer and logically deduce that a portion of Elgin’s presentation which the given information best fits is a solution to the problem because higher taxation on sugary beverages encouraged people to make healthier choices.

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Complete Question:

Elgin is taking notes for his presentation about how people drink too much soda and other sugary drinks, and he finds information about how some cities and states are taxing sugary beverages at a higher rate to encourage people to make healthier choices. In which portion of Elgin’s presentation does this information fit?

A. the overview of the situation

B. a solution to the problem

C. an effect of the solution

D. an effect of the problem

Answer:

B - a solution to the problem

took on edge

Answer:

your answer will be 18

Step-by-step explanation:

2/3 of 72 is 48,  1/4 of 72 is 18

i need some extra words here so hopefully this works

This graph represents a function Because it passes the vertical line test.

Let us first understand the Vertical Line Test.

In this test, we draw a few random vertical lines on a graph and check whether any one or more than one lines intersect the graph, no matter once or more.

If there exists a line that intersects the graph, we say the graph passes the vertical line test.

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

Hence this graph passes the vertical line test because there are many vertical lines that intersect it.

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Answer:

  cosine

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the answer to this question. It tells you ...

  Cos = Adjacent/Hypotenuse

__

The cosine of an acute angle is the ratio of the adjacent leg to the hypotenuse.

The original cost was it before the sale will be £ 26.4.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.

In a sale is 25% off all prices but cost £33 in the sale.

Then the original cost was it before the sale will be

Let x be the original cost.

Then we have

1.25x = £33

      x = £26.4

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Answer:

[tex]C)~ 10.06~ m[/tex]

Step-by-step explanation:

[tex]~~~~~~\sin 8^{\circ} = \dfrac{1.4}{y}\\\\\implies y = \dfrac{1.4}{\sin 8^\circ}\\\\\implies y \approx 10.06~ m[/tex]

The coordinates of the point that divides the segment into a 3:2 ratio is (-2.2, -1.2)

The points are given as:

G = (-4,3)

H = (-1,-4)

Ratio, m : n = 3 : 2

The coordinate of the point is calculated using:

[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1, my_2 + ny_1)[/tex]

This gives

[tex](x,y) = \frac{1}{3 + 2} * (3 * -1 + 2 * -4, 3 * -4 + 2 * 3)[/tex]

Evaluate

[tex](x,y) = \frac{1}{5} * (-11, -6)[/tex]

Evaluate the product

(x,y) = (-2.2, -1.2)

Hence, the coordinate of the point is (-2.2, -1.2)

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Answer:

First is b; because [B1] is [A1] multiplied by -4

Second is c; because [C2] = 7[B1] + [B2]

Answer:

The shape includes a curve; all polygons are supposed to have straight sides, which this shape does not.

Answer: The shape includes a curve

Step-by-step explanation:

        Polygons are closed shapes with at least three straight sides.

        This shape is closed, but it includes a curve. This means the answer to our question is the second option from the top,

                 "The shape includes a curve"

Answer:

Correct option is A)

A={1,2,3,4,5,6}

f:A→A

∴ Number of onto function=n!

       =6!

                                           =6×5×4×3×2×1

∴ Number of onto function=720

Step-by-step explanation:

Answer:

So first we substitute -2 for x

f(-2) = 10(-2)^2 - 4(-2) - 5

f(-2) = 400 + 8 - 5

f(-2) = 400 + 3

f(-2) = 403

Step-by-step explanation:

Answer:

The one in the right top hand corner. It shows one arrow pointing up and one to the right.

Step-by-step explanation:

I can't really explain it.

Answer:

2 divided by 100 multiply 150

Function rule describes the translation OT_1-9(x, y)

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation.

A square on a coordinate plane is translated 9 units down and 1 unit to the right.

Let's (x, y) be the coordinate.

where x be the horizontal move and y be the vertical move.

As, it is translated 9 units down and 1 unit right.

then

(x, y) = (x +1, y - 9)

and the translation be

(x, y ) = (x+1, y-9)

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Answer:

6y^2+7

Step-by-step explanation:

when you put in the two for y you get tour answer. i tried to simplify it down to the simplest form.

The value of the expression 6y² + 8y - 9 at y = 2 is 31.

Substitution in mathematics is when we replace some specific numerical values with variables according to our wants or given in the problem.

Given, An expression 6y² + 8y - 9.

Now, The value of the expression at y = 2, can be obtained by replacing

y = 2.

Therefore, 6(2)² + 8(2) - 9.

= 6(4) + 16 - 9.

= 24 + 16 - 9.

= 40 - 9.

= 31.

So, The value of the expression at y = 2 is 31.

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Answer:

try 1500 in the top slot and 5 in the bottom slot

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Applying section formula :

⇒ x = 1(14) + 2(2) / 1 + 2 = 18/3 = 6

⇒ y = 1(14) + 2(2) / 1 + 2 = 18/3 = 6

We understand after substituting the values of the endpoints in the section formula that the Point X divides the line in the ratio 1 : 2.