In the first picture can you please answer all of them in order I'm not sure if my answers are correct.

32/40 = 24/dg

32dg = 40 x 24

32dg = 960

dg = 960/32

dg = 30

Answer: DG = 30

Answer:

Step-by-step explanation:

these are 2 similar triangles, so we can solve with an equation

FC : CE = DG : ED

24 : 32 = x : 40

x = 24 * 40 : 32

x = 960 : 32

x = 30

DG = 30 units

------------------------------

24 : 32 = 30 : 40

0.75 = 0.75

The answer is good

Answer:

5 feet

The graphs intersect at x = 5.

Based on the information provided, the table that best matches the data in the scatter plot is shown below.

A scatter plot is a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

Based on the information provided, the table that best matches the data in the scatter plot is given by:

Data                       1    2    4    5.5    6.3

Height (cm)            1    2    3     4       5

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This chart represents a proportional relationship. The rate of change will be 4.

Firstly, there is a proportional relationship.

Two values x  and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called the constant of proportionality.

Given;

x y

1 4

2 8

3 12

4 16

Here, x = ky

put the first value

k = 1/4

This chart represents a proportional relationship.

So the rate of change will be

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\\\\Rate = \dfrac{8 - 4}{2 - 1}\\\\Rate = 4[/tex]

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A function assigns the values. The value of (gof)(3) is -576.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x)=x+21 and g(x)=-x², therefore, the value of (gof)(x) will be,

(gof)(x) = g(f(x))

           = -(x+21)²

The value of (gof)(3) will be,

(gof)(3) = -(3+21)²

            = -576

Hence, the value of (gof)(3) is -576.

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Let original Hieght be X

reduction = 32% = 32/100 X

new hieght = 4.42 m

now, 4.42 = X + 32/100 X

4.42 = 132/100 X

X = 4.42 * 100 / 132

X = 3.34 m

Original Hieght = 3.34 m

Answer:

7 ^ 6x + 2 = 7^15

taking log on both the sides

log 7^6x + 2 = log 7^15

6x + 2 log 7 = 15 log 7

log 7

Answer:

D

Step-by-step explanation:

d) A number plus eight is five times the number

Keywords within mathematical phrases can be "translated" into an algebraic equation.

Keywords

First, let's define some of these keywords that can help us answer the question.

Writing Out the Expression

In the figure, we see that the blocks "x" and "8" is equal to the block "5x". So, we can say that x plus 8 is equal to 5x. Then, using the keywords above we can replace the variables and numbers.

The highest score is 32.

The mean refers to the average of a set of values.

Total players = 8

Mean= 14.5

Now, total score of 8 players,

= 14.5*8

=116

and, Total score for the remaining 7 players

= 12 * 7

= 84

Hence, the highest score is 116-84 =32

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Answer:

Step-by-step explanation:

Simplify 14(1−23)2+13

Remember PEMDAS

14 * (1 - 23) * 2 + 13 =

14 * (-44) * 2 + 13 =

-308 * 2 + 13 =

-616 + 13 =

-603

Answer:

147 miles

Step-by-step explanation:

The first step is to find the number of miles traveled per gallon of gas

63 miles / 3 gallons = 21 miles per gallon

Take the rate and multiply by the number of gallons used to get the distance traveled

d = r * g

d = 21 * 7

d =147

The distance traveled is 147 miles

Answer: 113 inches cubed

Step-by-step explanation:

Volume of a sphere = 4/3 Pi r^3

Radius = 3 inches

Volume = 113 inches cubed

Hope I helped!

The image of the Constructed circle that passes through points X, Y, and Z is given in the image attached.

The steps to construct the circle are:

Step one- Draw 3 circles and the center of each of then is one where one acts as one of the points,  and the other side  of the compass is said to be at another point.

Step two: Then the draw the circle and follow the way for each point and the three point do cross some where of each other in the middle.

Step three: Place your compass on that point and then begin to drawing side to  link the points and so all 3 point will be on the circle.

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Answer:

387

Step-by-step explanation:

6(4)³ + 3(1)²

6(64) + 3(1)

384 + 3

= 387

Answer: 49

Step-by-step explanation:

If R is the midpoint of QS, QS=2(QR)=2(RS).

[tex]15x-7=2(7x)\\15x-7=14x\\-7=-x\\\\x=7\\\\QR=7(7)=\boxed{49}[/tex]

Answer:

$ 7360.00

Step-by-step explanation:

100 shares   *   $ 73/share   + $60  = $ 7360

Based on the calculation below,  the total purchase price for this transaction is $7,360.

The total purchase price for this transaction can be calculated using the following formula:

Total purchase price = (Price per share * Units of shares purchased) + Commission ...................................... (1)

Substituting all the values into equation (1), we have:

Total purchase price = ($73 * 100) + $60 = $7,360

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Answer:

-x+4, 4+-x

Step-by-step explanation:

Obtain these answers by moving the X and 4 around and multiplying the equation by -1

Answer:

x = 9

Step-by-step explanation:

x/3 = 6/2

~Simplify

x/3 = 3

~Rewrite

1/3x = 3

~Multiply 3 to both sides

x = 9

Best of Luck!

Answer: x=9 ✅

Step-by-step explanation:

Hii student, I'd love to help you out! (:

In this problem, we need to solve a proportion. This is fun, right?

3,2,1 - start!

Solving proportions is easy as winking, if you are familiar with a skill that is known as "cross multiplying".

We have these two proportions:

(oh and by the way, proportions are just equivalent (equal) fractions. That's all proportions are. Nothing more)

Our proportions are:

[tex]\large\boldsymbol{\cfrac{x}{3}=\cfrac{6}{2}}[/tex]

We multiply x times 2 and 3 times 6; upon  doing that we obtain.

[tex]\multimap\quad \tt 2x=18[/tex]

Did you see that? 2 fractions turned into a little equation that we can solve within 5 seconds (or faster)!

To do that we simply divide both sides by 2, since x is multiplied by 2 and we need to get it all by itself on one side of the equal sign)

[tex]\multimap\quad \tt x=9[/tex]

Woohoo! We found the answer! ✨

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

[tex]\underbrace[/tex]

Answer:

X

Step-by-step explanation:

1) All interior angles of a square are right angles, so angle WER measures 90°

2) All squares are parallelograms, and diagonals of a parallelogram bisect each other, meaning PA=AE=8 cm. Thus, PE=16 cm

3) All squares are rectangles, and diagonals of a rectangle are congruent, meaning WR=16 cm. Then, using the fact that the diagonals bisect each other, we get that WA=8 cm

4) If we consider right triangle WPR, we know it is isoceles because all sides of a square are congruent. So, the length of WP is:

[tex] \frac{16}{ \sqrt{2} } = 8 \sqrt{2} [/tex]

Answer:

If both equations have the same slope, they are said to be parallel.

If an equation is the reciprocal of another equation (meaning flipped denominator and numerator as well as flipped +/- sign) they are said to be Perpendicular.

Hope it helps!

The exponential function is used. Use x as your variable common ratio.

This is pretty obviously

If it wasn't obvious we can find the common ratio r by dividing successive values:

5/1=5

25/5=5

125/25=5

625/125=5

The common ratio is the number you multiply or divide by at each stage of the sequence. You can find it by dividing two consecutive pairs of terms.

That's the common ratio.  We multiply by the first term, but the first term is one, so that has no effect.

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Answer:

A. 0.2

Step-by-step explanation:

First make the table.

                                          10-grade  11-grade  12-grade  Total

Woodson high school    |     110     |     120    |      80     |   310   |

Valley high school          |     180    |     150    |     120     | 450   |

Riverside high school     |     160    |     140    |     200    | 500   |

Total                                 |     450   |     410    |     400    | 1260 |

Question: In decimal form, to the nearest tenth, what is the probability that a randomly selected riverside high school student is in twelfth grade?

First, find 12-grade and riverside high school number. 200. Take the total lined up with total number, which is 1260, and divide 200 divided by 1260.

200/1260=0.2

The answer is 0.2.

Hope this helps!

If not, I am sorry.

Answer:

its .4

Step-by-step explanation:

i got it wrong when i tried it says it is .4 or the third option c

The equation of the sequence will be [tex]\rm a_n = 0.8 \times a_{n -1} +200[/tex],

where a₁ = 800. Then the correct option is C.

Let a₁ be the first term and r be the common ratio. Then the geometric sequences will be

[tex]\rm a_n = a_{n -1} \cdot r[/tex]

Mahek owns a holiday tree farm.

There are currently 800 trees on the property.

Each year, 20% of the trees are harvested and sold, and 200 seedlings are planted.

Then the equation of the sequence will be

[tex]\rm a_n = 0.8 \times a_{n -1} +200[/tex]

Where a₁ = 800.

Then the correct option is C.

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Answer:

3. a1 = 800, an = 0.80an-1 + 200

Step-by-step explanation:

Answer:

- 15

Step-by-step explanation:

1) Simplify 15 - 2 to 13.

39/13  - 2 × 9

2) Simplify 39/13 to 3.

3 - 2 × 9

3) Simplify 2 × 9 to 18.

3 - 18

4) Simplify.

- 15

Answer:

1/4, 0.5, -4/6, 4.5, 1/3, 7/8

explanation: it is the ratio of two integers

a/b where b is not = to 0

Answer:

A = 8 ; B = 6 and C = 4

Step-by-step explanation:

(-2) + A = 6

A = 6 + 2

A = 8

0 + B = 6

B = 6

2 + C = 6

C = 6-2

C = 4

Answer:

from top to bottom:

x = y(v-w)

x = (yv/w)/2

x = (6+w)/v

x = (y-2w)/v

Step-by-step explanation: