There are 3200 students at a school if 52% are men how many men enrolled in the school

\(\begin{array}{r|l}576&2\\288&2\\144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}\)

\(576=2^6\cdot3^2\)

Therefore

\(4\sqrt{576}=4\sqrt{2^6\cdot3^2}\)

Answer:

Please provide more details!

To determine the specific type of roots for the given quartic equation, we need to solve it or analyze its discriminant. However, without further calculations, we cannot determine the exact types of roots for f(x) = 3x^4 + 7x^3 + 2x^2 + x + 9.

Answer:   ±1, ±3, ±9, ±\(\frac{1}{3}\)  

Step-by-step explanation:

f(x)=3x⁴+7x³+2x²+9

To find all possible roots, you take the last number and all its factors and put it over the first number and all its factors.

Factors of last and first:

9:  1, 3, 9

3: 1, 3

Put all of the factors of 9 divided by all factors of 3 and also make them + and - versions.  Also eliminate any repeats like ± \(\frac{1}{1}\)    and   ± \(\frac{3}{3}\)

±1, ±3, ±9, ±\(\frac{1}{3}\)    

Answer:I would believe it's the first choice. I'm not great with the inequalities though so it could be wrong. If you work 29 hours making $9.50, you make like $275 or something so it is greater than the $269.60 you need. :D

Answer:

nikki should quit her job

Answer:

C

Step-by-step explanation:

cot²θ = 1/tan²θ

plug this in to get

1/(1/tan²θ + 1)

1/tan²θ + 1 = 1/tan²θ + tan²θ/tan²θ = (1+tan²θ)/tan²θ

we then have

1/((1+tan²θ)/tan²θ)

1/(x/y) = y/x, so this is equal to

tan²θ/(1+tan²θ)

tan²θ = sin²θ/cos²θ, so plug this in to get

(sin²θ/cos²θ)/(1+sin²θ/cos²θ)

1+sin²θ/cos²θ = cos²θ/cos²θ + sin²θ/cos²θ

sin²θ + cos²θ = 1, so we have

(cos²θ+sin²θ)/cos²θ = 1/cos²θ. plug this in to get

(sin²θ/cos²θ)/(1/cos²θ)

(a/b)/(c/d) = (d/c) * (a/b), so we have

(sin²θ/cos²θ)/(1/cos²θ)  = cos²θ/1 * sin²θ/cos²θ = sin²θ

Answer:

BC=1

Step-by-step explanation:

The number of order of each aircraft is an illustration of simultaneous equations.

You should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s

To do this, we make use of the following representations:

From the question, we have the following equations

\(\mathbf{330A + 270B + 240C = 5850}\) ----the number of passengers

\(\mathbf{B + C = 2A}\) --- the relationship between the number of planes

\(\mathbf{250A + 200B + 240C =4950 }\) --- the budget

Make A the subject in \(\mathbf{B + C = 2A}\)

\(\mathbf{A=\frac{1}{2}(B + C)}\)

Substitute \(\mathbf{A=\frac{1}{2}(B + C)}\) in \(\mathbf{330A + 270B + 240C = 5850}\)

\(\mathbf{330 \times \frac{1}{2}(B + C) + 270B + 240C = 5850}\)

\(\mathbf{165B + 165C + 270B + 240C = 5850}\)

\(\mathbf{435B + 405C = 5850}\)

Divide through by 15

\(\mathbf{29B + 27C = 390}\)

Make C the subject

\(\mathbf{C = \frac{390 - 29B}{27}}\)

Substitute \(\mathbf{A=\frac{1}{2}(B + C)}\) in \(\mathbf{250A + 200B + 240C =4950 }\)

\(\mathbf{250 \times \frac{1}{2}(B + C) + 200B + 240C =4950 }\)

\(\mathbf{125B + 125C + 200B + 240C =4950 }\)

\(\mathbf{325B + 365C =4950 }\)

Divide through by 5

\(\mathbf{65B + 73C =990}\)

Substitute \(\mathbf{C = \frac{390 - 29B}{27}}\)

\(\mathbf{65B + 73\times\frac{390 - 29B}{27} =990}\)

Multiply through by 27

\(\mathbf{65B \times 27+ 73\times(390 - 29B) =990 \times 27}\)

\(\mathbf{1755B+ 28470 - 2117B =26730}\)

Collect like terms

\(\mathbf{1755B- 2117B =26730 - 28470}\)

\(\mathbf{-362B =-1740}\)

Solve for B

\(\mathbf{B =\frac{1740}{362}}\)

\(\mathbf{B =5}\) --- approximated

Substitute \(\mathbf{B =5}\) in \(\mathbf{C = \frac{390 - 29B}{27}}\)

\(\mathbf{C = \frac{390 - 29 \times 5}{27}}}\)

\(\mathbf{C = \frac{245}{27}}}\)

\(\mathbf{C = 9}\) --- approximated

Recall that: \(\mathbf{A=\frac{1}{2}(B + C)}\)

So, we have:

\(\mathbf{A = \frac{1}{2} \times (5 + 9)}\)

\(\mathbf{A = \frac{1}{2} \times 14}\)

\(\mathbf{A = 7}\)

Hence, you should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s

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The graph of y = 3 x 2^x passes through the coordinate points (2,12) and (3,24).

To write a question in the form of y=a x b^x that passes through the coordinate points (2,12) and (3,24), we need to solve for the values of a and b.

First, let's substitute the coordinates (2,12) into the equation:
12 = a x b^2

Next, let's substitute the coordinates (3,24) into the equation:
24 = a x b^3

We now have two equations with two unknowns (a and b), which we can solve using algebra.

From the first equation, we can solve for a:
a = 12 / b^2

We can then substitute this value of a into the second equation:
24 = (12 / b^2) x b^3

Simplifying this equation, we get:
2 = b

We can then substitute this value of b back into the equation for a:
a = 12 / 2^2
a = 3

Therefore, the equation of the graph that passes through the coordinate points (2,12) and (3,24) is:
y = 3 x 2^x

We can check that this equation is correct by plugging in the coordinates:
When x = 2: y = 3 x 2^2 = 12
When x = 3: y = 3 x 2^3 = 24
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Answer:

a = 452.16 ft²    area of walkway

a = -351.68 ft²   area of the walkway minus the area of the fountain

Step-by-step explanation:

Area fountain

a = π16²

a = 256π

Area fountain and walkway

a = π(16 + 4)²

a = π20²

a = 400π

Area Walkway

a =400π - 256π

a = 144π

a = 144 * 3.14

a = 452.16 ft²

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

I think the Area of the Walkway is what the question should be asking for, but it asked for

"the area of the walkway minus the area of the fountain"

a = 144π - 256π

a = -112π

a = -112 * 3.14

a = -351.68

Answer:

Step-by-step explanation:

the pidgeon is flying east

Answer:

8

Step-by-step explanation:

180=90+40+6x+2

180=132+6x

48=6x

x=8

Answer:

x=4 i think havent done this in a long time

Step-by-step explanation:

The unearned interest and the payoff amount is $11,022.12 and $18,784.87 respectively

Given data ,

Kelly bought a new SUV for $28,000. She made a down payment of $11,000 and has monthly payments of $332.63 for 5 years.

She is able to pay off her loan at the end of 36 months.

Now , Total interest = (monthly payment x number of months) - loan amount

Total interest = ($332.63 x 60) - $17,000

Total interest = $19,957.80

Next, we need to calculate the interest that has already been paid over the first 36 months of the loan. We can use the formula:

Interest paid = (monthly payment x number of months) - (loan amount - down payment)

Interest paid = ($332.63 x 36) - ($28,000 - $11,000)

Interest paid = $8,935.68

The unearned interest is the difference between the total interest and the interest paid so far:

Unearned interest = total interest - interest paid

Unearned interest = $19,957.80 - $8,935.68

Unearned interest = $11,022.12

To find the payoff amount, we need to add the remaining principal balance to the unearned interest:

Payoff amount = remaining balance + unearned interest

To calculate the remaining balance, we can use the formula for the present value of an annuity:

Remaining balance = monthly payment x (1 - (1 + r)^-n) / r

Where r is the monthly interest rate and n is the number of remaining months. We can solve for r by using the total interest calculated earlier:

r = (Total interest / loan amount) / 12

r = ($19,957.80 / $17,000) / 12

r = 0.0986%

Using this interest rate and n = 24 (the remaining 24 months of the loan), we can calculate the remaining balance:

Remaining balance = $332.63 x (1 - (1 + 0.0986%)^-24) / 0.0986%

Remaining balance = $7,762.75

Payoff amount = $7,762.75 + $11,022.12

Payoff amount = $18,784.87

Hence , the interest is solved

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The value of ∠1 = 96° in the given transversal of parallel lines.

In the event that two lines do not cross in the plane at any location, they are said to be parallel. The distances between parallel lines are equal all along.

Many forms have sides that are parallel to one another. In the rectangle below, both the single and double arrow lines, as well as the points where they intersect, are parallel to one another. Furthermore, shapes that are both horizontal and vertical are possible.

Parallel lines also never intersect one another in 3-D Euclidean space, and they always keep a constant distance between their nearest points.

As the lines are parallel

upper angle 50° = lower angle 50° (Alternate interior angles)

∠1 = 180 - (34 + 50) angle sum property

∠1 = 96°

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Answer: .....

ok done. Thank to me :>

Answer:

300

Step-by-step explanation:

A=wl=10·30=300

multiply the length of the rectangle by the width of the rectangle.

The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.

Answer:

Area = 378.5 ft²

Step-by-step explanation:

The figure is having two semi circles and one rectangle.

\({ \sf{area = area \: of \: semicircles + area \: of \: rectangle}} \\ \\ { \sf{area = 2( \frac{1}{2} \pi {r}^{2}) + (l \times w) }} \\ \\ { \sf{area = \pi {r}^{2} + (l \times w) }} \\ \\ { \sf{area = 3.14 \times {5}^{2} + (30 \times 10)}} \\ \\ { \sf{area = 378.5 \: {ft}^{2} }}\)

Answer:

28.07°

Step-by-step explanation:

use SohCahToa

in this case we use tan^-1 to get the angle x°

tan^-1(8/15)=28.07248694

to the nearest hundredth

=28.07°

Answer:

y=-1/2x+2

Step-by-step explanation:

slope is -1/2 beware this is a negitive slope so it goes down like this \

go one up and go to the left 2 times and connect the dots

Answer:

D)

Step-by-step explanation:

47 is the right answer! Have an cool day!

The area of the piece of red paper after the hole for the photograph has been cut is,

⇒ 47 square units.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Now, First, find the area of the two squares:

The photograph have vertices:

(-3, -2), (-2, 2), (2, 1), and (1, -3).

Since, The square is diagonally aligned, so we need to find the length between two points in order to find the area.

For (1, -3) and (2, 1).

There is a 1 unit length and a 4 unit height.

We can use the Pythagorean theorem to find the hypotenuse of the triangle, which is the length of the square's side:

1² + 4² = x²

1 + 16 = x²

x = √17

The side length for the square of the photograph is the square root of 17,

so the area of the photograph is 17 units²

Now, The red paper has side lengths of 8. The distance between (-4, 4) and (4, 4) is 8 units wide, so we do not need to use the Pythagorean theorem.

Now , we know the area of the red paper and photograph, you can subtract the area to find the red paper with the hole:

64 - 17 = 47 square units.

Thus, The area of the piece of red paper after the hole for the photograph has been cut is,

⇒ 47 square units.

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Answer:

Step-by-step explanation:

you can see this is a geometric progression which a ratio of \({2\over{5}}\). the sum of the firs n term is:

\(S=a_1\frac{(1-r^n)}{(1-r)}=175\frac{1-(\frac{2}{5})^{10}}{1-\frac{2}{5}}=291.6360832\)

the nearest integer would be:

292

The sum of the first 10 terms of the series 175, 70, 28, ...   is  291.636

Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number. This fixed number is called common ratio.. This progression is also known as a geometric sequence of numbers that follow a pattern.

Common ratio = (Any term) / (Preceding term)

It means the sum of all the first "n" numbers in the series. The formula for first "n" natural numbers is

Sn = a + a r + ar2 + ar3 +…+ arn-1

or

Sₙ = a[(rⁿ – 1)/(r – 1)]

where "r" is called common ratio

"a" is called the first term in the series

From the given question the given series is  175, 70, 28, ...

70/175 = 0.4 (or) 28?70 = 0.4

As each succeeding term is produced by multiplying each preceding term by 0.4 .Here the common ratio (r) is 0.4

let first term "a" be 175

then Sₙ = 175[(0.4¹⁰-1)/(0.4 - 1)

      Sₙ= 291.636

Thus the sum of the first 10 terms of the series 175, 70, 28, ...   is  291.636

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Step-by-step explanation:

3x squared -9 = 12

3x squared = 12 + 9

3x squared = 21

am i doing the wrong maths?

is it find what 3x squared is or....

If y and x vary directly, the value of y=2.6 then value of x is 1.14.

The tenths place is represented by the initial digit following the decimal. The hundredths place is denoted by the digit that followed the decimal. Up until there are no additional digits, the remaining ones keep the place values filled in the quantity.

For example, 2.84620364 can be round to two decimal places as 2.85, and 0.8035 can be round to two decimal places as 0.80.

Here x and y vary directly,

So , x/y = k

Therefore K is constant

For x = 3.2 and y = 1.4

Then x/y = k

3.2/1.4 = k

K = 1.6/0.7

If y = 2.6 what is x

y = 2.6 and k = 1.6/0.7

2.6/x = 1.6/0.7

1.6x = 18.2

X = 1.1375.

Hence, the Round to two decimal places of x is 1.14

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Answer:

A. 5 + 2.75 · S ≤ 21

Step-by-step explanation:

So we know that it has to be less than or equal to $21 because that's all she has to spend. So we can automatically rule out the equations with ≥  because that means greater than.

We can also rule out the equations that have 50 at the very end because that's just how far she wants to travel.

Answer:

57,838.4 - 57,491.9 = 346.5 miles

346.5/17.5 = 19.8 miles per gallon.

Hope this helps :-)

Step-by-step explanation:

Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

Answer:

Step 2

Step-by-step explanation:

from Step 1      4/3 - 1/3 = 3/3  = 1   =  q   =  q + 1/3 - 1/3

The regression equation is ∝=y-βx where slope is 5 and intercept is 2.

The slope indicates the steepness of a line and the intercept indicates the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables, and can be used to estimate an average rate of change.

Mean number of years of schooling: x=17

Mean monthly income: y=2750

Slope of the regression equation: β=650

The intercept is,

∝=y-βx

=2750−650x17

=8300

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Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.

Step-by-step explanation: