Joaquin wants to find the volume of his cereal box, but he only has
" cubes available. He measured the box and found that it was
7.5 in." wide,
11 in." tall, and
2.5 in." thick.

how many
.5 in." cubes it will take to completely fill the cereal box?

The ratio of the number of female attendants to the number of male attendants is 21/17

let

900 = 1200x + 800y / (x + y)

900x + 900y = 1200x + 800y

900x + 1200x = 800y + 900y

2100x = 1700y

x : y = 2100 / 1700

x : y = 21 ; 17

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Answer: 13.6

Step-by-step explanation: Use a theorem which exists s. then you use pythagoreom

The length of the segment indicated is 13.6

From the question, we have the following parameters that can be used in our computation:

The circle

Assuming that lines which appear to be tangent are tangent, we have

?² = (2 * 6)² + 6.4²

Evaluate

?² = 184.96

So, we have

? = 13.6

Hence, the length of the segment indicated is 13.6

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The value of x is 17/12

The equation is given as

2 (3/4 - x/3) = 1 1/4

Express as improper fractions

2 (3/4 - x/3) = 5/4

Divide through by 2

3/4 - x/3 = 5/9

Collect like terms

x/3 = 3/4 - 5/9

Multiply through by 3

x = 9/4 - 15/9

Evaluate

x = (81 - 30)/36

Evaluate

x = 51/36

Simplify

x = 17/12

Hence, the value of x is 17/12

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Answer:

Let "x" and y" be the two numbers.

We have

xy = 5/6, (1) and x/y = 15/8. (2)

Multiply (1) and (2) (both sdes). You will get

x^2 = (5*15)/(6*8) = 25/16.

Hence, x = +/- 5/4.

Next, divide (1) by (2) (both sides). You will get

y^2 = 5/6:15/8 =

(5*8)/(6*15) = 4/9.

Hence, y=+/-2\/3.

Answer. There are two solutions: (x, y)=(5\/4,2\/3) and (x,y) = (-5/4,-2/3).

// We should exclude the second solution, since the numbers are negative.

The reason why the standard deviation of a set of data is always given as a positive number is because the individual values are squared.

The term standard deviation is used to express how much numbers depart from the mean value. Now we know that the standard deviation for each of the data points is the square of the difference between the score and the mean.

Given that the value that is extracted from each data point is squared, the standard deviation of a set of data is always given as a positive number, but data points can have a negative overall standard deviation.

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The range of the attached function is 0 ≤ y ≤ 8

The complete question is added as an attachment

From the graph, we have the following highlights

This means that the y value do not exceed 8, and the minimum is 0

Hence, the range of the attached function is 0 ≤ y ≤ 8

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For the given diagram, the domain of the graph will be within the range [-2, 8]. Hence the required domain are {-2, 0, 1, 2, 8}

The domain of a function are the independent variable of the function for which it exists,

For graphs, the domain exists on the x-axis of the curve or line on the xy plane.

For the given diagram, the domain of the graph will be within the range [-2, 8]. Hence the required domain are {-2, 0, 1, 2, 8}

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Answer:

slope formula= y2-y1/x2-x1

=1-3/8-3

= -2/5

pls mark as brainliest thanks!

16-4(3x-2)²

=16-4(3x-2)(3x-2)

=16+−36x²+48x+−16

=(−36x²)+(48x)+(16+−16)

=−36x²+48x

Answer:

[tex] \red{- 12x(3x - 4)}[/tex]

Step-by-step explanation:

We know that,

[tex](a - b)^{2} = {a}^{2} - 2ab + {b}^{2} \\ [/tex]

Accordingly, let us solve the sum now.

[tex]16 - 4(3x - 2)^{2} \\ 16 - 4(9 {x}^{2} - 12x + 4) \\ 16 - 36 {x}^{2} + 48x - 16 \\ - 36 {x}^{2} + 48x \\ - 12x(3x - 4)[/tex]

The base is a square, so the area of the square is (10 cm)² = 100 cm²

To find the area of each triangle use the formula

base • height

10 cm • 9 cm = 90 cm²

now multiply by the number of triangles

90 cm • 4 = 360 cm²

Add the area of the square:

100 cm² + 360 cm² = 460 cm²

I hope it's correct

Answer:

SA = 280 cm²

Step-by-step explanation:

SA = area of base + area of 4 congruent triangles

     = 10² + (4 × [tex]\frac{1}{2}[/tex] × 10 × 9 )

     = 100 + (2 × 10 × 9)

     = 100 + 180

     = 280 cm²

Answer:

Continuous

Step-by-step explanation:

Degrees don't always have to be integers. It can be 32.3 degrees, 32.31 degrees, etc.

The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.

According to the statement

we have to find the under which probability type The distribution of probabilities for each outcome of a random variable that sums to 1.00.

So,

For this purpose, we know that the

A probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.

and the above written definition of probability is satisfied the condition that the The distribution of probabilities for each outcome of a random variable that sums to 1.00.

Due to this reason The Probability Distribution is a correct option.

So, The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.

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The amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53 based on the APR.

Annual percentage rate (APR) refers to the yearly interest generated by a sum that's charged to borrowers or paid to investors

For credit cards, the interest rates are typically stated as a yearly rate. This is called the annual percentage rate.

The amount of the $5200 charge that Francisco made during the first month has been paid off will be the total of the principal paid which is:

Principal paid = $47.67+$47.23+$46.80+$46.37+$45.94+$45.52

=$279.53

Therefore, the amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53.

In conclusion, the correct option is D.

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Complete question:

How much of the amount of the $5200 charge has Francisco paid off in the first month?

The true statements are:

Logarithms may be used to linearize data.

Powers may be used to linearize data. Roots may be used to linearize data.

If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model.

Another format for writing exponents is in logarithms.

The use of a logarithm can be utilized to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Exponent and logarithm are inverse forms of one another. A logarithm is defined using an exponent.

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Answer:

A.Logarithms may be used to linearize data.

B.Powers may be used to linearize data.

C.Roots may be used to linearize data.

E.If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.

Step-by-step explanation:

Yes

Answer:

The answer to your question is 5500

Step-by-step explanation:

[tex]50x 110 = 5500\\[/tex]

I hope this helps and have a good day!

Answer:

8.9mm

Step-by-step explanation:

To solve for x, we use the Pythagoras theorem.

Pythagoras theorem states that in a right angled triangle, the square of the Hypotenus is equal to the sum of the square of the other two sides.

The Hypotenus is the longest side, or the side facing the right angle.

From the question above,

[tex]12.4 {}^{2} = \: 8.6 {}^{2} + x {}^{2} \\ \\ 153.76 \: = 73.96 \: + x {}^{2} \\ \\ collecting \: liketerms \\ \\ x { \: }^{2} = 153.76 - 73.93 \\ = 79.83 \\ \\ squareroot \: bothsides \\ \\ \sqrt{x {}^{2} } = \sqrt{79.83} \\ \\ x = 8.9[/tex]

Answer: 433.33 cm^3

Step-by-step explanation: Since the base is a square, volume = base area × height / 3

10*10 = 100,  100 * 13 = 1300, divided by 3 = 433.33 cm^3

Answer:

4

Step-by-step explanation:

Slope=rise/run

there is a increase of 4 in y for every increase of 1 in x

The point estimate of the proportion of students who prefer the new schedule is 0.22.

Definition of Point Estimate

Point estimation is a technique used in statistics to determine a single value that will serve as the "best guess" or "best estimate" of an unidentified population characteristic, known as the point estimate. More precisely, in order to produce a point estimate, we apply a point estimator to the data.

For the confidence interval (0.195, 0.245), point estimate is calculated as follows,

p = (0.195 + 0.245) / 2

p = 0.44 / 2

p = 0.22

Hence, the point estimate of the proportion of students who prefer the new schedule comes out to be 2.2.

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Answer: The answer is (x+2)(x-4)(x-4)
Or as a short form you can write it as [tex](x+2) (x-4)^{2}[/tex]

Step-by-step explanation:

Answer is very lengthy but I am 100% sure that's the correct answer

Answer:

(x³ - 6x² + 32) = (x - 4)²(x + 2)

Step-by-step explanation:

(x³ - 6x² + 32)/(x - 4) =

           x² - 2x - 8

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

x - 4    |  x³ - 6x² + 0x + 32

             x³ - 4x²

            ----------

                  -2x² + 0x

                  -2x² + 8x

                 ----------------

                            -8x + 32

                            -8x + 32

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

                                       0

(x³ - 6x² + 32) = (x - 4)(x² - 2x - 8) = (x - 4)(x - 4)(x + 2) =

= (x - 4)²(x + 2)

Step-by-step explanation:

No. of points got from 1 stunt = 50.

No. of points deducted from 1 fail = 40.

6 stunts and 9 falls were gained last week.

So, A/C the number of points earned =

(6×50)-(9×40)

= 300 - 360

= -60

Her score today is 3 times her score from last week so multiply by 3

= (-60) × 3

= -180

If it were multiplied by -3 instead of 3 it would be...

(-60) × (-3)

= 180

The difference would be that on multiplying with positive 3 she would be 180 points in the whole but multiplying with negative three means she is 180 points in the league.

The similarity is that that whole number is same but the symbol adds a difference and the absolute value would be same too.

Answer:

-0.4 or [tex]\frac{-2}{ 5}[/tex]

Step-by-step explanation:

[tex]tan^-^{1} ({\frac{2}{5} })=21.80\\[/tex]

tan ( 2π-21.80)

but 2π = 360

Therefore our question becomes:

tan ( 360-21.80)=tan(338.2)= -0.4

Arc M P is a minor arc and measures 152°

Arc M L N is a major arc and measures 298° .

Given that NL and MK are diameters of circle J.  

 Size of arc MP is 62+90=152°, since MP is smaller than MLN

             then it is a minor arc. Hence the correct statement is:  

             M P is a minor arc and measures 152°.

Size of M L N is 360-62=298°, thus it is a major arc. Hence the

             correct statement is:

             MLN is  major arc and measures 298°.

Arc M P is a minor arc and measures 152°

Arc M L N is a major arc and measures 298° .

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Answer:

Complete the statements about circle J.

Arc M P is a

✔ minor arc

and measures

✔ 152

degrees.

Arc M L N is a

✔ major arc

and measures

✔ 298

degrees.

Step-by-step explanation:

edge 2022

The money paid to the secretary is $14000 and the money paid to mathematician is $22000.

A mathematical statement that establishes the equality of two mathematical expressions is the called an equation.

Total money available for hiring = $36000

Let the money given to secretary = X

Money given to the mathematician = X + 8000

X + (X + 8000) = 36000

2X = 28000

X = 14000

Money given to secretary is $14000.

Money given to the mathematician is $22000.

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Answer:

42.8571

Step-by-step explanation:

We would need to divide 150 by 7 and multiply it by 2 to get the answer.

150/7 = 21.42857

21.42857*2 = 42.8571

Answer:

C. B=38.8, C=95.2, c=42.9

Step-by-step explanation:

Find B by using sine rule

sin 46/31=sin B/27

sin B= 27 sin 46/31

B=sin‐¹(0.627)

B=38.8

Find C

C= 180-(A+B)

C=180-(38.8+46)

C=95.2

Using sine rule, Find c

31/sin 46=c/sin 95.2

c=31 sin 95.2/sin 46

c=42.9

Answer:

B, C and E

Step-by-step explanation:

The given function shows imply that the graph g(x) is shifted two units right and three units up.

Option B is correct.

The transformation of a function occurs in a fancy way such that a function maps itself. f: x → x.

From the given information:

Let's take a look at the function f(x) that goes through 0 just when x = 0. Now we want to move it to the right by 2. It implies that it has to go through 0 when x = +2.

Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.

Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0.  We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.

Combining the two transformations, we have:

Therefore, we can conclude that the function implies that the graph g(x) is shifted two units right and three units up.

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