Middletown High School has student elections every year. Lately, the school has seen a 5% decrease in voting from election to election. If 910 students voted this year, how many will be expected to vote 8 years from now? (Round to the nearest whole number if necessary).​

Answer:

In 2x[tex]\geq[/tex]8 the answer is: x[tex]\geq[/tex]4

Step-by-step explanation:

If we look at the 2x[tex]\geq[/tex]8, we can easily solve it. We know that the [tex]\geq[/tex] symbol means greater than or equal to. If we go by greater than, it could be any number of numbers. However, we know that it is also possible equal. For this to be true, then whatever 2 is being multiplied by must possibly give a product of eight also. Because of this, we can use the knowledge that 2*4 equals 8. So we simply put it in. x must be greater than or equal four in order to make the statement true. Remember the greater to or equal than part. It could be more than four. We are just saying the minimum of x would be four.

Answer:

6

Step-by-step explanation:

75-6=4y+4y+3.5y

or 11.5y=69

or y=69\11.5

     =6

Answer:

- 7.5 y - 4y= 6 - 75

Step-by-step explanation:

= - 11.5y = -69

= y = 6

Answer:

(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

y = e^(1 - 0) - 1

= e - 1

So the y-intercept is the point (0, e-1)

Answer:

[tex]{ \rm{ {a}^{ \frac{b}{c} } \: \dashrightarrow \: ( {a}^{b}) {}^{ \frac{1}{c} } }} \\ \\ { \boxed{ \rm{ \boxed{} \: \: \sqrt[c]{ {a}^{b} } }}} \\ [/tex]

In the given diagram, the value of x is 40

From the question,

we are given that

∠ SRT = ∠STR, and m ∠SRT = 20,

Also, from the question

m ∠STU = 4x

To determine the value of x,

From the diagram,

We can observe that

∠STR + ∠STU = 180° (Sum of angles on a straight line)

Since ∠ SRT = ∠STR, and m ∠SRT = 20,

Then,

∠STR = 20

Then,

∠STR + ∠STU = 180° becomes

20 + 4x = 180

To solve this,

First, subtract 20 from both sides

20 - 20 + 4x = 180 - 20

Then,

4x = 160

∴ x = 160 ÷ 4

x = 40

Hence, the value of x is 40

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Answer:

Step-by-step explanation:

The answer is 40.

x=40

9514 1404 393

Answer:

  (a) 3%

  (b) sh 3915

Step-by-step explanation:

a) The extra amount is ...

   10815 -10500 = 315

As a percentage of the marked price, this is ...

  315/10500 × 100% = 3%

__

b) The total paid is the sum of the down payment and the monthly installments:

  10815 = down + 1150×6

  10815 -6900 = down . . . . . . . . . . subtract 1150×6 from both sides

  down = 3915 . . . . . . . . . evaluate

The deposit paid was sh 3915.

You are correct!

20 Characters

Answer:

f(x)=4−(x−7)

3

Let y=f(x)

So, x=f

−1

(y) ---- ( 1 )

y=f(x)

⇒ y=4−(x−7)

3

⇒ (x−7)

3

=4−y

⇒ x−7=

3

4−y

⇒ x=7+

3

4−y

⇒ f

−1

(y)=7+

3

4−y

.................. [ From ( 1 ) ]

∴ f

−1

(x)=7+

3

4−x

Answer:

99

Step-by-step explanation:

 64

+ 35

= 99

Answer:

12

Step-by-step explanation:

you reverse the operations, you multiply LxWxH to get the volume, so you can do V/L/H to get the width. 2880 divided by 24 equals 120, and 120 divided by 10 equals 12, so therefore the width is 12. Hope this helps!

Answer:

[tex]3 \frac{11}{27} \\ [/tex]

Step-by-step explanation:

[tex](2a - \frac{1}{3} ) \div \frac{b}{15} \\ (2 \times - \frac{3}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) \div \frac{ - 6.75}{15} \\ ( \frac{ - 18 - 5}{15} ) \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \times - \frac{15}{6.75} \\ \frac{23}{6.75} \\ \frac{23 \times 100}{6.75 \times 100} \\ \frac{2300}{675} = 3 \frac{11}{27} \\ [/tex]

Answer:

Step-by-step explanation:

Answer:

B. 12,672 in^2

16 x 18 x 44 = 12672

Answer:

D.

Step-by-step explanation:

Answer:

f(8f + 7)

Step-by-step explanation:

8f^2 + 7f

= f(8f + 7)

The factor of 8f² + 7f is f(8f + 7).

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

Given:

An expression,

8f² + 7f.

To find the factor:

8f² + 7f,

= f(8f + 7)

Therefore, f(8f + 7) is the factor.

To learn more about the factorization;

https://brainly.com/question/28187946

#SPJ2

Answer:

Volume of the prism =area of base*height

=[3*3+3*6]*9

=243 cm³

Alternate

Volume of prism : l*b*h+l*b*h=3*3*9+3*6*9=243cm³

Answer:

Approximately there are 119.47 students per week

Step-by-step explanation:

The # of students in the sample study between 9.7 and 17.7 hrs per week;

P (9.7 < x < 17.7) =  P ((9.7 - 13.7)/4 < 7 < (17.7-13.7)/4)

P (-4/4 < 7 < 4/4)

P (-1 < 7 < 1)

0.8413 - 0.1587

0.6827

Therefore the # of student = n P

175 * 0.6827

119.47

Answer:

-9

Step-by-step explanation:

Think about the Keep and change rule, since this is negative, the more negative numbers there are the more it will go deeper. -4 - 5 is -9 because just create a number line and place -4 one it, then jump backwards 5 times.

Answer:

1.5 or 1 1/2

Step-by-step explanation:

2*9 = 18

4*3 = 12

18/12 = 3/2

1.5 or 1 1/2

Answer:

Solution for What is 38 percent of 95: 38 percent *95 = (38:100)*95 = (38*95):100 = 3610:100 = 36.1. Now we have: 38 percent of 95 = 36.1.

Step-by-step explanation:

Answer:

percent grade

89%, 70%, 60%

Step-by-step explanation:

2, 98.2, 2/8, 4/6

Answer:

- f(X+2) = x^2 +7x +11

Step-by-step explanation:

- f(X) = x^2 +3x+1

- f(X+2) =(X+2)^2 + 3(X+2) + 1

- f(X+2) = x^2 + 4x + 4 + 3x + 6 +1

- f(X+2) = x^2 +7x +11

Answer:

Step-by-step explanation:

x2+3x+1

f(x+2)= 2x+3x+1

=5x+1

Answer:

[tex]{ \rm{3(x - 4) - 12 = 2(x - 6) + 8}} \\ \\ { \rm{3x - 12 - 12 = 2x - 12 + 8}} \\ \\ { \rm{3x - 24 = 2x - 4}} \\ \\ { \rm{3x - 2x = - 4 + 24}} \\ \\ { \rm{x = 20}}[/tex]

Answer:

The correct answer is 24

Step-by-step explanation:

K12 test

figure has two intersecting lines and a ray.

From this figure, the value of x= 24

Given :

Two intersecting lines and a ray. one angle is 110 degrees.

opposite to 111 degrees are 87  and x degrees

From  the two intersecting lines, we know that vertical opposite angles are equal .

111 degrees and 87+x  are vertical opposite angles

So, they are equal .

Lets make them equal and solve for x

[tex]111=87+x[/tex]

Now we subtract 87 on both sides and solve for x

[tex]111-87=87-87+x\\\\x=24[/tex]

So the value of x is 24 degrees

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Answer:

Helen has 27 apples and Bob has 18.

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Exact Form:

x=−3/7

Decimal Form:

x=−0.¯¯¯¯¯¯¯¯¯¯¯428571

Using the expected value, it is found that a price of $6 should be charged to make it a fair game.

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

In a standard deck, there are 52 cards.

The cost of x.

There are 4 Aces in a standard deck, thus [tex]\frac{4}{52}[/tex] probability of earning 26 - x.

There is 1 King of Hearts in a standard deck, thus [tex]\frac{1}{52}[/tex] probability of earning 204 - x.

There are 4 Jacks and 4 Queens in a standard deck, thus [tex]\frac{8}{52}[/tex] probability of winning 13 - x.

The other 39 cards you lose, thus [tex]\frac{39}{52}[/tex] probability of losing x.

Considering we want the expected value to be 0.

[tex]\frac{4}{52}(26 - x) + \frac{1}{52}(204 - x) + \frac{8}{52}(13 - x) - \frac{39}{52}x = 0[/tex]

[tex]\frac{4(26 - x) + 204 - x + 8(13 - x) - 39x}{52} = 0[/tex]

[tex]104 - 4x + 204 - x + 104 - 8x - 39x = 0[/tex]

[tex]52x = 312[/tex]

[tex]x = \frac{312}{52}[/tex]

[tex]x = 6[/tex]

$6 should be charged.

A similar problem is given at https://brainly.com/question/24905256

Answer:

1.5 miles

2.92

3.

Step-by-step explanation:

Answer:

Total amount:

Total amount:

As we see the second method is a better choice

Answer:

SHERRIE

- Princible P= 200

- Interest rate R= 4% or 0.04

-  Number of compounds N= 12

- Time T= 2

HARRISON 

- Princible P= 200

- Interest rate R= 2% or 0.02

- Number of compounds N= 4

-  Time T= 2

Formula: A= P(1+r/n)^nt

Now plug in values for each person: 

200(1+0.02/4)^4*2= 208.14

200(1+0.04/12)^12*2= 216.63

And as you can see, the second method (Sherrie's) is the best choice.

Step-by-step explanation:

Answer:

-5/2

Step-by-step explanation:

5x+2y=6

First, put the equation in slope-intercept form

y = mx+b where m is the slope and b is the y intercept

Subtract 5x from each side

5x-5x+2y=-5x+6

2y = -5x+6

Divide each side by 2

2y/2 = -5/2x +6/2

y = -5/2 x +3

The slope is -5/2x

Lines that are parallel have the same slope

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex]     [tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]    [tex]\displaystyle tan\theta=\frac{opposite}{adjacent}[/tex]

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information:

[tex]\displaystyle cos56=\frac{a}{13}[/tex]

Isolate a by multiplying both sides by 13:

[tex]13\displaystyle cos56=a[/tex]

Solve using a calculator:

[tex]a=7.3[/tex]

Therefore, a is equal to 7.3 when rounded to 1 decimal place.

Other information you will need to know:

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

[tex]\displaystyle sin\theta=\frac{5}{8}[/tex]

In this case, we will use the inverse sine ratio:

[tex]\displaystyle \theta=sin^-^1(\frac{5}{8})[/tex]

Solve using a calculator:

[tex]\displaystyle \theta=39[/tex]

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!