Find the value of x. Then , find the measure of each angle.

The number is missing in the last step in the quadratic equation is 200. Then the correct option is D.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The quadratic equation is 8x² + 80x = −5

On adding and subtracting 200 on both sides, we have

8x² + 80x + 200 = −5 + 200

8 (x² + 10x + 25) = −5 + 200

Thus, the number is missing in the last step in the quadratic equation is 200. Then the correct option is D.

More about the factorization link is given below.

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Answer: 110 degrees

Step-by-step explanation:

Answer:

  44

Step-by-step explanation:

The relations can be written using one variable to represent Mikhail's age: m. Gabrielle's age is (m-11), so the sum of their ages is ...

  m +(m -11) = 77

  2m = 88 . . . . . . add 11

  m = 44 . . . . . . . divide by 2

Mikhail's age is 44.

__

Additional comment

Gabrielle is 33.

You could solve this using two variables:

Adding these two equations gives the one we have above:

  2m = 88

  m = 44

__

You may have noticed we are given the sum and the difference of the two ages. The older Mikhail's age is half the sum of those two numbers. The younger Gabrielle's age is half their difference: (77 -11)/2 = 33. This "half the sum, half the difference" solution is the generic solution to a "sum and difference" problem.

Gabrielle : 33

Mikhail : 44

Explanation:

Let Mikhail's age be x

And Gabrielle's age be y.

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

Gabrielle is 11 years younger than Mikhail

y = x - 11     [ equation 1 ]

sum of their ages is 77

x + y = 77    [ equation 2 ]

Insert equation 1 into 2

x + x - 11 = 77

2x = 77 + 11

2x = 88

x = 44

Therefore, the age of Mikhail is 44

Find Gabrielle's age:

y = x - 11

y = 44 - 11

y = 33

Therefore, the age of Gabrielle is 33

Answer:

5050

Step-by-step explanation:

we can use the formula n(n+1)/2

Answer:

5050

Step-by-step explanation:

because n(n+1)/2 is compatible here, which is (100x101)/2, and that gives us 5050.

Answer:

The correct option is;

A). Randomized block design

Step-by-step explanation:

In a randomized block design the experimental units or subjects of the experiment are separated into subgroups known as blocks with the property that the the variability (difference) of the parameters within the blocks are lesser than the variability between block, such that the treatment of the research or experiment are assigned differently to each block

The groups can therefore comprise of the following;

Group 1

15 men and 15 women to perform water aerobics for 30 minutes twice a week

Group 2

15 men and 15 women to perform water aerobics for 60 minutes once a week

Therefore, the effect of the experiment will be much less attributed to gender than to the durations of the water aerobic exercise.

Answer:

3(x - 3y) + 6y - 8x

Perform the distributive property;

3x - 9y + 6y - 8x ← Expanded form

Group like terms:

(3x - 8x) (-9y + 6y)

-5x - 3y ← Simplified form

Answer:

I believe it is -5x - 3y

Answer:

$40/5

Step-by-step explanation:

If you're trying to figure out the cost of each class divide the amount of money you pay in all ($40 dollars) by 5. Once you do that you should get 8, so $8 per class.

The answer 37.5 lbs

Answer:

[tex]e = 30 \\ n = –40 \\ e = –6.4 \\ t = –29 \\ n – 45.60 = –15.75 \\ 6.95 \\ the \: LCD \: of \: 12 \: and \: 35 \: is \: 2 \\{ 512 < 716} \\ 81(not \: in \: the \: option) \\ - 9(not \: in \: the \: option)[/tex]

The minimum payment of card u of Connie is $11.54 is greater than the minimum payment of credit cart v.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

Connie has two credit cards, u and v. The card u has a balance of $414.55 and the minimum monthly payment on card u is 2.82% of the balance. Thus, the minimum payment for card u is,

[tex]P_u=\dfrac{2.82}{100}\times414.55\\P_u=11.69[/tex]

Card v has a balance of $751.81 and the minimum monthly payment on card v is 3.09% of the total balance. Thus, the minimum payment for card v is,

[tex]P_v=\dfrac{3.09}{100}\times751.81\\P_v=23.23[/tex]

The difference between the minimum payment of both the cards is,

[tex]d=23.23-11.69\\d=11.54[/tex]

Thus, the minimum payment of card u of Connie is $11.54 is greater than the minimum payment of credit cart v.

Learn more about the percentage here;

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Answer:   y = (x-2)/3

This is equivalent to y = (1/3)x - 2/3

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

To get this answer, we need to swap x and y in the original equation. Then solve for y to get the inverse.

y = 3x+2

x = 3y + 2 ... x and y swapped

x-2 = 3y

3y = x-2

y = (x-2)/3

y = x/3 - 2/3

y = (1/3)x - 2/3

This final equation has slope 1/3 and y intercept -2/3

Answer:

3.45

Step-by-step explanation:

24.84/7.2 = 3.45

The unit rate is $3.45 per gallon

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Linda pays $24.84 for 7.2 gallons of gas.

Thus unit rate ( dollars per gallon) = $24.84/7.2

                                                          =$3.45 per gallon

Hence, The unit rate is $3.45 per gallon

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#SPJ2

Answer:

I believe the correct answer is D

Answer: 4 units, 3 units

Step-by-step explanation:

The side length of the square is measured to be 4 units on the graph

The height can be seen to be 3 units on the graph

4 units on each side

Height is 3 units

Step-by-step explanation:

Perpendicular height is 3 squares up, from the base of the square, to the top of the triangles.

The square measures 4 by 4 on each side.

Hope this helps!

Answer:

20 inches

Step-by-step explanation:

Since there are 480 miles in total, we have to divide it by 12 so we can see how many half inches that would be.

480÷12 = 40

That would mean you can fit forty 12's in 480. Since 12 miles equals 1/2, you would multiply it by 40.

1/2 × 40 =20

This means that the distance between the cities on the map would be 20 inches.

Answer:

  A.  4 square units

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

Your triangle has a base of 4 units and a height of 2 units. Its area is ...

  A = 1/2(4)(2) = 4 . . . . square units

__

The triangle dimensions are easily found from your diagram by counting grid squares. If you like, you can subtract the x-coordinates of the points on the horizontal line y=1 to find the base length: 2 -(-2) = 4. And you can subtract the y-coordinates of the points on the vertical line x=-2 to find the height: 3 -1 = 2.

Answer:

The domain is the set of all the values of x. The range is the set of all the values of y.

Domain:

{−3,0,7}

Range:

{3,7,−9,−4}

pee

The one that has the most circles in a group :D

Answer:

Step-by-step explanation:

10,500*5% =525

10,500-525

=9975

Using the slope concept, it is found that the boat traveled at a speed of 138 feet per minute.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

At point A, we have that the vertical change is of 245 ft with an angle of 12º, hence the position in feet is given by:

[tex]\tan{12^\circ} = \frac{245}{x_A}[/tex]

[tex]x_A = \frac{245}{\tan{12^\circ}}[/tex]

[tex]x_A = 1152.6[/tex]

At point B, we have an angle of 28º, hence:

[tex]\tan{28^\circ} = \frac{245}{x_B}[/tex]

[tex]x_B = \frac{245}{\tan{28^\circ}}[/tex]

[tex]x_B = 460.7[/tex]

The distance in feet the boat traveled in 5 minutes was of:

[tex]d = x_A - x_B = 1152.6 - 460.8 = 691.8[/tex]

Velocity is distance divided by time, hence:

v = 691.8/5 = 138.

The boat traveled at a speed of 138 feet per minute.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

Present Value = $413.99

Interest rate = 4.25%

Years = 8.5 years

Future value = P(1+I)^n

Future value = $413.99*(1+0.425)^8.5

Future value = $413.99*(1.0425)^8.5

Future value = $413.99*1.4244478

Future value = $589.707144722

Future value = $589.71

The total amount to be earned as a result of the investment for 8.5 years is $589.71.

Answer:

[tex]\dfrac14[/tex]

Step-by-step explanation:

[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]

If 8 students in a class of 32 wear glasses, then the probability of the first student who walks out of class wearing glasses will be:

[tex]\dfrac{8}{32}[/tex]

Simplifying:

[tex]\dfrac14[/tex]

Answer:

=18938545.55220... x^3

Step-by-step explanation:

Answer:

189

Step-by-step explanation:

ratio is 8:9

multiply ratio by 21 to get 168:189

The number of people who threw the cabbage should be considered as the 189 when the ratio is given.

Since

The ratio of the number of people who threw tomatoes onto the stage to the number of people who threw cabbage was 8 to 9.

And,  168 people threw tomatoes onto the stage

So

[tex]= 168 \times 9 \div 8[/tex]

= 189

hence, The number of people who threw the cabbage should be considered as the 189 when the ratio is given.

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Answer:

Graph (C)

Step-by-step explanation:

To find whether the graph\table represents a relationship or a function we have to analyze the input-output values given.

Graph A.

In this graph for every input value (x-value) there are two output values (y-values).

For x = -2, y = -2, 2

So the graph doesn't represent a function.

Graph B.

For every x value there are two y-values

For x = -5, y = -3, 3

So the graph doesn't represent a function.

Graph C.

For every input value there is a different y-value.

Therefore, graph represents a function.

Graph D.

In this graph for x = 3, y = 1, 2, 3, 4

For one value of x, there are four values of y.

Therefore, graph doesn't show the relationship.

Graph C has exactly one output (y-value) corresponding to each input (x-value), therefore, the graph that represents a functional relationship is: Graph C.

A functional relationship is a relationship whereby every input in the relation has exactly one possible output.

In other words, a functional relationship must have exactly one output that corresponds to each of the input values.

Thus, graph C has exactly one output (y-value) corresponding to each input (x-value), therefore, the graph that represents a functional relationship is: Graph C.

Learn more about functional relationship on:

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Answer:

30

Step-by-step explanation:

[tex]500\times\left(60-12\right)\div\left(300+500\right)[/tex]

Calculate

[tex]\frac{500\times\left(60-12\right)}{300+500}[/tex]

Calculate the sum or difference

[tex]\frac{500\times48}{300+500}[/tex]

Calculate the sum or difference

[tex]\frac{500\times48}{800}[/tex]

Cross out the common factor

[tex]\frac{5\times48}{8}[/tex]

Cross out the common factor

[tex]5\times6[/tex]

Calculate the product or quotient

[tex]30[/tex]

Answer:

21

Step-by-step explanation:

First determine the amount of tax

20 * .05

1

Add this to the original amount

20+1

21

He will pay 21 dollars

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{( \frac{1}{2} \: ,\: \: \frac{ - 3}{2} )}}}}[/tex]

Step-by-step explanation:

[tex] \text{Let \: the \: points \: be \: A \: and \: B}[/tex]

[tex] \text{A( - 3 \: 2) } \longrightarrow \text{(x1 \: , y1)}[/tex]

[tex] \text{B(4 \: - 5)} \longrightarrow \text{(x2 \:, y2)}[/tex]

[tex] \underline{ \text{Finding \: the \: midpoint}} : [/tex]

[tex] \boxed{ \sf{Midpoint = ( \frac{x1 + x2}{2} \:, \frac{y1 + y2}{2} )}}[/tex]

[tex] \sf{Midpoint = ( \frac{ - 3 + 4}{2} \: , \frac{2 + ( - 5)}{2} })[/tex]

[tex] \underline{ \text{Remember}} : [/tex]

[tex] \text{( + ) * ( - ) = ( - )}[/tex]

[tex] \text{( + ) \: * \: ( + ) = ( + )}[/tex]

[tex] \text{( - ) \: * \: ( + ) = ( - )}[/tex]

[tex] \text{( - ) \: * \: ( - ) = ( + )}[/tex]

[tex] \sf{Midpoint = ( \frac{ - 3 + 4}{2} \:, \frac{2 - 5}{2}) }[/tex]

[tex] \underline{ \text{Remember}}: [/tex]

[tex] \sf{Midpoint = ( \frac{1}{2} \: , \frac{ - 3}{2} )}[/tex]

[tex] \text{Hope \: I \: helped}[/tex]!

[tex] \text{Best \: regards}[/tex]!

~[tex] \text{TheAnimeGirl}[/tex]