Which of the following is equal to the rational expression
below when x+2 or 9?
4(x - 2)
(x - 2)(x-9)

Answer:

It would be 53.1

Step-by-step explanation:

Vote branlyist Please...

The approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point is; D:  53.1°

We are told that she dived into the pool that was 8 ft deep.

She touches the bottom with her hands 6 ft horizontally.

Thus, a triangle is formed here with 8 being the opposite side of the angle of elevation and 6 being the adjacent side of the triangle.

Using trigonometric ratios, we can say that;

θ = tan⁻¹(8/6)

θ = 53.1°

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Answer:

The number of orders in is equal to the number of orders out in month 4 (April). It appears the solution represents the time at which warehouse shipments caught up with order quantities.

Step-by-step explanation:

For this table to make any sense, we have to assume that the year started with 3 orders in January, and that one order was shipped in January. Then the number of orders was 1 or 2 each month after that, and the number of orders shipped per month was 2 each month after that. That is, the tables represent year-to-date totals of orders in and out.

Alternate Interpretation

If the numbers here are actual orders in and out in each of the listed months, it appears the warehouse is getting better at shipping orders. That is, they are increasing the shipment rate by 2 orders a month each month. They will eventually ship enough to cover the total number of orders in (total of 20 by April), but total shipments through April only amount to 16 orders.

Answer:

Writing about two pages any topic that you want, such as story, project, event, idea, .etc.please Do not copy and paste from the Interne.

Answer:

24 1/2 cups

Step-by-step explanation:

we can change 6 1/8 into 49/4

there are 2 cups in 1 quart

now we can set up a proportion:

2÷1 = 'c'÷ 49/4

cross-multiply to get:

49/4 × 2 = c

49/2 = c

c = 24.5

Answer: 120m

Step-by-step explanation:

Let the height of the building be represented by x.

Since the height of a tower is 15m more than tiwce the height of a building, the height of the tower will be:

= (2 × x) + 15

= 2x + 15

Since the tower is 255m tall, therefore,

2x + 15 = 255

2x = 255 - 15

2x = 240

x = 240/2

x = 120

The height of the building is 120m

Answer:

C 35:15

Step-by-step explanation:

because 35:15 =5:3 so it is not equal to a ratio of 5 is to 2

Answer:

C

Step-by-step explanation:

If you simplify all the ratios, then you get the following:

A. 25/5 : 10/5 = 5:2

B. 35/7 : 14/7 = 5:2

C. 35/5 : 15/5 = 7:3

D. 40/8 : 16/8 = 5:2

Answer:

a = 117.3 cm²

Step-by-step explanation:

a = (1/2)∅r²

a = (1/2)(7π/6)(8²)

a = (1/2)(7 * 3.14159/6)(64)

a = 117.3 cm²

Answer:

3/20

Step-by-step explanation:

Set up the quotient:

6!3!

------

2!5!

6! is equivalent to 6*5!, and so we have:

 6*5!3!                                     6*5!3!             6*3*2*1                   6

------------   which reduces to -------------  or  -------------------  or  ------------

   2!5!                                         2!5!              2*5*4*3*2*1          (2)*5*4  

                                                                  3

This final result simplifies further to ---------------

                                                                  20

Answer:

[tex]Area = 138in^2[/tex]

Step-by-step explanation:

Given

[tex]L = 9; W =3; H =3\frac{1}{2}[/tex]

Required

The surface area

This is calculated as:

[tex]Area = 2(LW + LH + WH)[/tex]

So:

[tex]Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})[/tex]

[tex]Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})[/tex]

[tex]Area = 2*69[/tex]

[tex]Area = 138in^2[/tex]

Using the Central Limit Theorem, the false statement is given by:

B. [tex]\mu[/tex] is the sample mean. It is used to estimate the population mean.

It states that, for a normally distributed random variable X, with population mean [tex]\mu[/tex] and population standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s_E = \frac{\sigma}{\sqrt{n}}[/tex].

If we have the standard deviation for the sample s, the Central Limit Theorem can also be applied.

The sample mean is given by [tex]\overline{x}[/tex], hence option B is false.

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Answer:

The two minimum numbers = 5, 5

Step-by-step explanation:

Let the first number = x

let the second number = y

Their sum: x + y = 10

Sum of their squares:  = x² + y²

y = 10 - x

f(x) = x² + (10 - x)²

f(x) = x² + 100 - 20x  + x²

f(x) = 2x² - 20x  +  100

Find the derivative of f(x), to obtain the critical points;

f'(x) = 4x - 20

4x - 20 = 0

4x = 20

x = 5

The value of y is calculated as;

y = 10 - x

y = 10 - 5

y = 5

The two minimum numbers = 5, 5

Answer:

a) [tex]f(x) = \frac{1}{25.9}[/tex]

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The probability density function of the uniform distribution is:

[tex]f(x) = \frac{1}{b-a}[/tex]

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that [tex]a = 284.7, b = 310.6[/tex].

a. Give a mathematical expression for the probability density function of driving distance.

[tex]f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}[/tex]

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

[tex]P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046[/tex]

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Answer:

It's 4 miles East from the store.

Step-by-step explanation:

6 miles east - 2 miles west = 4 miles East

Displacement for north and south should cancel out since they are equal to each other.

Answer:

She bought

22 of the 52 cent stamps and

26 of the 23 cent stamps.

Step-by-step explanation:

Given :

Total stamp increase = 48

Let number of 52 cent stamp = x

Number of 23 cent stamp = 48 - x

The cost equation :

0.52*x + 0.23*(48-x) = 17.42

0.52x + 11.04 - 0.23x = 17.42

0.52x - 0.23x = 17.42 - 11.04

0.29x = 6.38

x = 6.38 / 0.29

x = 22

Hence,

She bought 22 ; 52-cent stamps

And (48 - 22) = 26, 23-cent stamps

Answer:

x =17

Step-by-step explanation:

The angles are supplementary so they add to 180

6x-20 + 6x - 4 = 180

12x -24 = 180

Add 24 to each side

12x-24+24 = 180+24

12x = 204

Divide by 12

12x/12 =204/12

x = 17

Answer: With that assumption, we have a square, whose area is given by the formula Asquare=a2, and two semicircles. The distance D is simply the square's diagonal. The area of each semicircle is given by the formula Asemicircle=π*r2/2. then you will get your answer!

Answer:

20%

Step-by-step explanation:

vrrggrgrhreah

Answer:

Step-by-step explanation:

13. Find the total number of coinsss

8+4+3+1

=16

First pick:

1/16

Second pick:

1/15

So I guess your chances are 1/16+1/15 ?

=31/240

hopefully

14.

add the sockss

3+4+3

= 10

First pick

1/10

Second Pick

1/9

Add them:

19/90

Forgive me if this is wrong

:,)

Answer:

B

Step-by-step explanation:

the slope is 0

the y intercept is ( 0,4 )

Given:

The two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

To find:

The distance between given points.

Solution:

Plot the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] randomly randomly on a coordinate plane, then form a right angle triangle as shown in the below figure.

Now, the hypotenuse is the distance between the two points.

[tex]\text{Perpendicular}=y_2-y_1[/tex]

[tex]\text{Base}=x_2-x_1[/tex]

Using Pythagoras theorem,

[tex]\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2[/tex]

[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Taking square root on both sides, we get

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]        [Distance is always positive]

Therefore, the distance between the two points is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. It is also known as distance formula.

Let h be high temperature for today.

We are told that today high temperature will be at least 50 degrees. This means the high temperature will be greater than or equal to 50 degrees.

Let us represent this information by our inequality.

Therefore, our desired inequality will be .  

h [tex]\geq[/tex] 50 degrees

Answer:

the answer is : ................

5

Answer:

D

Step-by-step explanation:

But basically, one by one you try moving the terms out of the radical.

75 is also 25 * 3 and since 25 has a perfect square root of 5 that goes out and 3 stays inside the radical.

x^3 is also x^2 * x and since x^2 has a perfect square root which is just x that goes outside while the remaining x stays inside.

y^9 is also y^8 * y and since we move variables out the radical in twos y^ goes outside the radical and y stays inside alone.

Finally, z is just z it can't be taken out so it stays inside the radical.

Hope that helps!

Answer:All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.

Hope it helps...

Answer:

23 nickels and 16 dimes

Step-by-step explanation:

16 dimes = 1.60

23 nickels = 1.15

1.60 + 1.15 = 2.75

Answer:

d 243

Step-by-step explanation:

The solution of given function is 243

A limit defined as the value which a function approaches as that function's inputs get closer and closer to some number

[tex]lim\ (3x-3)^\frac{5}{2} \\x\to 4[/tex]

[tex](3(4)-3)^\frac{5}{2}[/tex]

[tex](12-3)^\frac{5}{2}[/tex]

[tex](9)^\frac{5}{2}[/tex]

[tex](3^2)^\frac{5}{2}[/tex]

[tex]3^5[/tex]

243

Hence, the solution of given function is 243

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Answer:

The answer is "Approximately normal".

Step-by-step explanation:

sample size[tex]n=100[/tex]

Sample size [tex]n \geq 30[/tex]

It is because [tex]C \perp T[/tex] the sampling distribution of the sample means is approximately normal.