a(x+y)-a(x-y) simplified .

Answer:15.5

Step-by-step explanation:you can use the sin rule so set up x(height)/sin54.1 = 19.1/sin90 then times 19.1/sin90 by sin 54.1 to get 15.5

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

See below for answers

Step-by-step explanation:

shape        radius               diameter

a                 1/2 cm                  1 cm

b                  1 cm                     2 cm

 c                 2 cm                     4 cm

 d                 1 cm                      2 cm        

The equation of the line in slope intercept form is y = 1 / 5 x + 7.

The equation of a line can be represented in slope intercept form as follows:

y = mx +  b

where

Therefore, let's find the slope of the line as follows:

using (0, 7) and (5, 8)

m = 8 - 7 / 5 - 0

m = 1 / 5

m = 1 / 5

Therefore, let's find the y-intercept using (0, 7).

Hence,

y = 1 / 5 x + b

7 = 1 / 5 (0) + b

b = 7

Therefore, the equation of the line is y = 1 / 5 x + 7

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The other zero of the function given that one zero is 4 include: B. 8.

The correct graph of the quadratic function represented in the table is: graph A.

In Mathematics and Geometry, the standard form of a quadratic function is represented by the following equation;

ax² + bx + c = 0

Next, we would create a system of equation by using the data points provided in the table above;

a(2)² + b(2) + c = 12

4a + 2b + c = 12     .....equation 1.

a(6)² + b(6) + c = -4

36a + 6b + c = -4     .....equation 2.

a(7)² + b(7) + c = -3

49a + 7b + c = -3     .....equation 3.

By solving the system of equations simultaneously, the values of a, b, and c are as follows;

a = 1

b = -12

c = 32

Therefore, the required quadratic function is given by;

ax² + bx + c = 0

x² - 12x + 32 = 0

x² - 8x - 4x + 32 = 0

x(x - 8) - 4(x - 8) = 0

(x - 4)(x - 8) = 0

x = 4 or x = 8

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Answer:

Step-by-step explanation:

Given sequence:

This is not AP as the difference in terms is not common

This is GP with the common ratio of -2 as:

Correct choice is (C)

Answer:

30 bucks per square foot

Step-by-step explanation:

8.2x-2.1x=183

is the equation.

Answer:

Step-by-step explanation:

Answer:

244.5

Step-by-step explanation:

Use A Budgeting Calc This Anwser Is Correct

Answer: D.42⁰

Ok done. Thank to me :>

Answer:

$319.60

Step-by-step explanation:

Normal Game console cost : $399.50

Discount: %20 (0.20)

$399.50×0.20= $79.90

Total cost of discount $79.90

$399.50-$79.90= $319.60

New cost after Discount= $319.60

Write an equation of the line that passes through ( -5, 0) and is parallel to the line y=4.5x-1 An equation of the parallel line is​

step 1

Find the slope of the given line

we have

y=4.5x-1

the slope is m=4.5

step 2

Remember that'I two lines are paralell, then their slopes are equal

so

the slope of the parallel line is

m=4.5x

step 3

find the equation of the parallel line in slope intercept form

y=mx+b

we have

m=4.5

point (-5,0)

substitute

0=4.5(-5)+b

solve for b

b=22.5

therefore

the equation of the line is

The population in the year 2100 will be approximately 18.8 billion.

Determine exponential equation

The exponential equation to model the world population (in billions) after t years is P(t) = 8(1.011)\(^t\), where P(t) is the population in billions and t is the number of years after 2022.

To write this equation, we need to use the information provided in the question. The initial population in 2022 is 8 billion, so this is our starting value. The growth rate is 1.1% per year, which can be written as 1.011 in decimal form.

We can use the formula for exponential growth, P(t) = P0(1 + r\()^t\)where P0 is the initial population, r is the growth rate, and t is the number of years.

Substituting the values for \(P_0\)and r into the equation, we get:

P(t) = 8(1.011\()^t\)

2100-2022=78

This equation can be used to find the population after t years.

For example, to find the population after 5 years, we can substitute t = 78 into the equation and get:

P(5) = 8(1.011\()^78\) ≈ 18.8 billion

Therefore, the population in year  2100 will be approximately 18.8 billion.

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We can see that 36 is a composite number.

We also know that \(36=1\times36\), \(3\times15\), or \(4\times9\). All of these numbers are prime numbers so they are all factors of 36.

Thus we see that the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Answer:

One has a higher hourly pay rate, while the other offers benefits. The first job pays $25 an hour, while the second job pays $20 an hour.

Step-by-step explanation:

give me brainlyest

The approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes

Total of 22 is more than 4500 is equivalent to average of 22 is more than \($\frac{4500}{22}\)=204.545

\($$\begin{aligned}P(\bar{x} > 204.545) & =1-P(\bar{x} < 204.545) \\& =1-P\left(\frac{\bar{x}-\mu}{\sigma / \sqrt{u}} < \frac{204.545-195}{35 / \sqrt{22}}\right) \\& =1-P(z < 1.2792) \\\end{aligned}$$\)

                        = 1 - 0.8997

                        = 0.1003

                        = 10.03%

Therefore, the approximate probability P that the total weight of the passengers exceeds 4500 pounds is 10.03%.

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Answer:

-15

Step-by-step explanation:

The number of lights L that are on after t minutes of the stage shows is,

A. L = (1/2)t + 10.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, When the show starts, 10 lights are on which is a constant in out function.

Every 30 seconds or (1/2) a minute 1 more light comes on.

∴  The function best models the number of lights that are on after t minutes of the stage shows is,

L = (1/2)t + 10.

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Answer:

86°

Step-by-step explanation:

We can deduce that option A is likely to be true based on the given graph of rolling dice median data.

The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.

The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).

This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.

However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.

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Answer:

v= 648

Step-by-step explanation:

All you have to do is multiply every single number

9x2x36=648 :)

The amount of money that would be paid for rent each year for the spa would be = $37,800

The area of the potential space for the opening of your first spa = 1,800 square feet.

The price for each square feet per year = $21

That is; = 1800× 21 = $37,800

Therefore, annual rent fees for the space which will be used for spa = $37,800.

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Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

The measure of side KL from triangle KLM is 22 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle HIJ is similar to triangle KLM.

From the similar triangles,

JH/MK =HI/KL

31/13.9 =49/KL

31KL=49×13.9

31KL=681.1

KL=681.1/31

KL=21.97

KL≈22

Therefore, the measure of side KL is 22 units.

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Answer:

x = 2 , y = 7

Step-by-step explanation:

Since

y-3x = 1

y = 3x+1 - equation 1

2y-x = 12 - equation 2

Since we are using substitution method,

we will substitute equation 1 into equation 2.

\(2(3x + 1) - x = 12 \\ 6x + 2 - x = 12 \\ 5x + 2 = 12 \\ 5x = 12 - 2 \\ 5x = 10 \\ x = \frac{10}{5} \\ = 2\)

Now we substitute x into equation 1 to find y.

\(y = 3(2) + 1 \\ = 6 + 1 \\ = 7\)

Therefore x = 2, y = 7.

Answer:

i think the answer you picked is correct

Answer: The answer is B my friend god bless you

Step-by-step explanation:

The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:

Let us expand the eqaution: 2(x-1) (2x+3)

So, we have:

2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.

= 4x² + 2x - 6 + x² - 4x + 2

Now, let us group like terms, we have:

= 4x² + x² + 2x - 4x - 6 + 2

= 5x² - 2x - 4

Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.

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In a case whereby Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined, he is wrong

\(4\frac{2}{4}\) that was given in the question can be seen as mixed fraction, we can expressed this as improper fraction so that it will be easier to handle.

\(4\frac{2}{4} = \frac{16+4}{2}\)

=\(\frac{18}{4}\)

Then \(4 + 5\frac{1}{4} = \frac{16}{4} +\frac{20+1}{4} \\\\=\frac{37}{4}\)

Then after expressing the given fractions as improper fraction we can now compare them so that e will know may be Darren is right or wrong, then here we can see that \(\frac{18}{4}\) is less than \(\frac{37}{4}\) Hence, Darren is wrong.

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