Please answer the following question

Answer:

C=0

Step-by-step explanation:

C = 5/9 (60-32)

C= 5/9 (28)

C=15.55555556 (round to the nearest tenth)

C=15.6   - ANSWER

Factors of the polynomial 2x² + 8x - 90 is Option (c) 2(x + 9)(x - 5).

Factorization is the method used to discover the factors of a given value or mathematical statement. A factor is an integer that is multiplied by another to create the original number. For instance, 2, 3, 6, 9, and 18 are the factors of 18. Likewise, in the case of polynomials, the factors are the polynomials that are multiplied to create the initial polynomial.

Given Equation: 2x² + 8x - 90

Step 1: Pull out like factors from the equation

 ⇒ 2x² + 8x - 90  =   2 • (x² + 4x - 45)

Step 2: Factorize by splitting the middle term of the equation (x² - 4x - 45)

   ⇒ x²+ 9x - 5x - 45

Step 3: Take Common factors from the two pairs of the equation

⇒ x(x + 9) - 5(x + 9)

Step 4: Rewrite the polynomial in factored form

  ⇒ 2(x + 9)(x - 5)

Therefore the factorization result is 2(x + 9)(x - 5).

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The number of hours Alma volunteered is 46 hours.

The process of time conversion changing or converting the unit of time from one unit to another.

For example, it can be converting seconds to minutes, converting minutes to hour or converting hours to minutes or hours to seconds.

Basically, time can be converted from one unit to another.

The number of hours Alma volunteered is calculated as follows;

60 minutes = 1 hour

2,760 minutes = ?

= (2760 x 1) / 60

= 46 hours

Thus, the number of hours Alma volunteered is 46 hours.

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Answer:

Step-by-step explanation:

46

Answer:

3/5, 9/15 - some equivalent fractions for 6/10

Answer:

x=82

Step-by-step explanation:

Because of Supplementary angles we know that x+10 degrees and x+6 degrees is 180 degrees. We combine this to form 16+2x=180

subtract 16 from both sides. 2x=164

divide both sides by 2

x=82

Step-by-step explanation:

perimeter=s+s+s

p=x/2+x-5+x-2

13=x/2+x-5+x-2

26=x+x+x-10-4

26=3x-14

26+14=3x

3x/3=40/3

x=13.3cm

b.

x/2=6.65

x-5=8.3

x-2=11.3

longest side=11.3cm

Answer:

Step-by-step explanation:

You want to know the length of the sides of a 250 ft² square, and one with an area 50% larger. You also want to know the percentage change in side length.

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

  A = s²

Solving for the side length (s), we find ...

  s = √A

The side length of a square with 250 ft² area is ...

  s = √250 ft = 5√10 ft ≈ 15.81 ft . . . side length

The area of a square that has 50% more area is ...

  (250 ft²) × (1 +50%) = 375 ft²

The side length of that square is ...

  √375 ft = 5√15 ft ≈ 19.36 ft . . . side length

The percentage change can be found from ...

  percentage change = ((new value)/(old value) -1) × 100%

  = ((5√15)/(5√10) -1) × 100% = (√1.5 -1) × 100% ≈ 22.47%

The percentage increase in the length of one side is about 22.47%.

Answer:1=a

             2=b

             3=c

Step-by-step explanation:

Part (a)

x = the missing value

The set is {81, 54, 77, 68, x}

Add up those values and divide by 5 to compute the mean. Set this equal to the 74.6 stated. Then solve for x like so:

(81+54+77+68+x)/5 = 74.6

(280+x)/5 = 74.6

280+x = 5*74.6

280+x = 373

x = 373-280

x = 93

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

Part (b)

In the previous part, we have n = 5 values and n-1 = 5-1 = 4 of them can be freely selected. The 5th final value is locked in based on what those previous four values are. That 5th value being x mentioned earlier.

This shows that the degrees of freedom is n-1

In other words, one value is determined by the other values in the set.

Answers:

E ' = (0, 1)

F ' = (0.5, 0.5)

G ' = (0, 0)

D ' = (-1, 0.75)

Notes: 0.5 = 1/2 and 0.75 = 3/4

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

Explanation:

Assuming the origin is the center of dilation, then we multiply each coordinate by the scale factor of 1/4 = 0.25

For instance, the point E(0,4) moves to E ' (0, 1) since

Do the same for the other points.

Answer:

14x+11

Step-by-step explanation:

Answer:

1 revolution is 360 degrees

1 hour = 60 minutes

360/60 = 6

so it rotates 6 degrees every minute

135/6 = 22.5 minutes

The equation of the line is y = - (2 / 5) · x - 2. (Correct choice: D)

Lines are represented by first grade polynomials of the form y = m · x + b, where m and b are the slope and the y-intercept of the line, and x and y are the independent and dependent variables, respectively.

We can find the values of the slope and the y-intercept by knowing the location of two distinct points on Cartesian plane. If we know that (x₁, y₁) = (- 5, 0) and (x₂, y₂) = (0, - 2), then the equation of the line is:

- 5 · m + b = 0               (1)

b = - 2                           (2)

The solution to the system of linear equations is (m, b) = (- 2 / 5, - 2). Lastly, the equation of the line is y = - (2 / 5) · x - 2. (Correct choice: D)

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1) The decimal 0.31313131...as a fraction is; 310/990

2) The decimal 0.02020202 as a fraction is; 200/9990

3) The difference of the two numbers as a repeating decimal is; 0.29292929

We are given the decimals as;

0.31313131...

0.02020202...

1) The decimal 0.31313131... is repeating decimal.

If we write it as;

x = 0.31313131...

Multiply both sides by 10 to get;

10x = 3.131313  --- (1)

Multiply both sides of initial equation by 1000 to get;

1000x = 313.131313   ----(2)

Subtract eq 1 from eq 2 to get;

990x = 310

x = 310/990

2) The decimal 0.02020202 is a repeating decimal.

If we write it as;

x = 0.02020202...

Multiply both sides by 100 to get;

10x = 2.020202  --- (1)

Multiply both sides of initial equation by 10000 to get;

10000x = 202.0202 02  ----(2)

Subtract eq 1 from eq 2 to get;

9990x = 200

x = 200/9990

3) The difference of the two numbers as a repeating decimal is;

0.31313131 - 0.02020202 = 0.29292929

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Answer:

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

Identities we will use:

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

Given expression:

Factorize it by completing the square and setting the difference of squares:

The value of x based on the equation illustrated as 3x - 1 + 5 < 1 is x < 1.

It should be noted that an equation is simply used to show the relationship between the expression or variables.

From the information, 3x - 1 + 5 < 1.

Collect like terms

3x - 1 + 5 < 1.

3x < 1 + 1 - 5

3x < -3

Divide

3x / 3 < -3 / 3

x < 1

Therefore, the value of x based on the equation illustrated as 3x - 1 + 5 < 1 is x < 1.

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The value of h(-2) is 65

A function can be defined as an expression, law , rule of hypothesis that explains or compares the relationship between two variables - the dependent and the independent variable.

Given the function;

h(x) = 2x^4 - x³ + 2x² - 7x + 3

To determine the function, h(-2)

We substitute the value of x as -2 into the function, we have;

h(-2) = 2(-2)^4 - (-2)^3 + 2(-2)^2 - 7(-2) + 3

expand the bracket

h(-2) = 2(16) - 2(-8) - 7(-2) + 3

h(-2) = 32 + 16 + 14 + 3

h(-2)= 65

Thus, the value of h(-2) is 65

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Answer:

101

Step-by-step explanation:

Because if f(x) = [tex]x^{2}[/tex] + 1 and f(x) is f(10), this means that x = 10. If x = 10, then you can plug that into the equation, getting you [tex]10^{2}[/tex] + 1. [tex]10^{2}[/tex] is 100, plus 1 is 101.

Hope this helps!

Answer:

104 mph

Step-by-step explanation:

The Phoenix International Raceway is 1 Mile so they did 312 miles in 3 hours.

Rate = Distance/Time

R = 312/3 = 104/1

The racers were traveling at 104 miles per hour.

The Four-fifths is equal to ten-sixteenths of a number is x=32/25.

Given the statement is four-fifths is equal to ten-sixteenths of a number.

A mathematical statement is a meaningful component of words that can be  true or false. Simply, they are known as a statement.

Let us assume the given number be x.

According to the given statement,

Four fifths means 4/5.          ......(1)

And ten sixteenths means 10/16.

It is also given that ten sixteenths of a number means is (10/16)x.      .......(2)

Now, we will equate equation (1) and equation (2) according to the given statement is

4/5=(10/16)x

Further, we will cross multiply both sides, we get

4×16=10x×5

64=50x

Now, we will divide both sides by 50, we get

64/50=50x/50

64/50=x

32/25=x

Hence, the number for the given statement "Four fifths is equal to ten sixteenths of a number" is 32/25.

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Answer:

18.33

Step-by-step explanation:

multiply 55×2 you get 110

then since it is +13-7 + is bigger than - ( positive is greater than negative)

it will be 6

so 110 ÷6 = 18.3333333 you put it into 4digits

The answer is 18.33

Hope it will help

Answer:

The answer is D. y=-2x+8

Step-by-step explanation:

Hope this helps!!

The number of points the borrower needs to buy down interest rate to 3.8% is 0.350 points

What is the desired annual percentage rate for the borrower?

The desired annual percentage rate(APR) for the borrower is 3.8% whereas the the loan officer offer is 4.15%, which means that the borrower needs to buy the interest rate from 4.15% to 3.8%

difference in interest rate=4.15%-3.8%

difference in interest rate=0.35%

We need to translate the reduction in interest rate of 0.35% to points , bearing in mind that the 1% is the same as 1 point

number of points required to buy down interest=1 point*0.35%

number of points required to buy down interest=0.350

In essence, the home loan borrower needs to buy down interest by 0.350 points in order to achieve the desired loan APR of 3.8%

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Answer:

Step-by-step explanation:

Answer:14 000

Step-by-step explanation:

Simple interest formula: A=P(1+in)

A= amount after interest is added

P= initial amount (10000)

i= interest rate (8%)

n= number of periods (5 years)

Now substitute what you have into the simple interest formula:

A=P(1+in)

A=10000(1+(8/100)(5))

A= 14 000

The reason why 8 is divided by 100 is that 8 is a percentage. Unless you have a percentage function on your calculator, I'd strongly encourage you to ALWAYS divide your percentages by 100.