(5x-3)^2 -60x=(5x-3)^2

Answer:

-10n - 60

Step-by-step explanation:

Use the distributive property to simplify [ a(b + c) = ab + ac ]

-10(n + 6)

(-10 * n) + (-10 * 6)

-10n + -60

-10n - 60

Best of Luck!

Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

Step-by-step explanation:

the middle one has to be the same for both part ratios.

the best here is to bring the ratio element of B in the first part ratio to 10. we need to double the B element there

for that (as a ratio is a fraction) we also have to adapt the A element in the same way.

so, we get

4×2 : 5×2 : 9 =

= 8 : 10 : 9

and that is also shown in the graphic.

Answer:

X:Y:Z= 8:10:9

Step-by-step explanation:

Let x be the number of students in class A

Let y be the number of students in class B

Let z be the number of students in class C

x:y = 4:5

y:z= 10: 9

x:y:z = ?

Find the LCM of the y terms (5 and 10 ) which is 10

Divide 10 by the first y term (5) = 2

Divide 10 by the second y term(10) = 1

X: y = (4 x 2) :(5 x 2)= 8:10

y:z =(10 x 1) : (9:1)= 10:9

x:y:z= 8:10:9

Answer:

an = 7 - 6(n-1)

Step-by-step explanation:

Each term is 6 less than the previous

an = 7 - 6(n-1)

answer:

6

step-by-step explanation:

hopefully i am reading this question right but the differance is -6 and it is arithmetic

hopes this helps! :)

Answer:

I love you 3566267840 and pas 123456

Answer:

3

Step-by-step explanation:

Answer:

easy

Step-by-step explanation:

the apps called homeworkman on its and Android btw

Answer:

10

Step-by-step explanation:

The expression ab + c means that we have to sum two terms.

The first term is ab, which is the product of  a and b (the multiplication sign is often dropped when obvious). Since a = 2 and b = 3, their product is 2x3 = 6.

The second term is simply c, which we know is equal to 4.

So, we have a sum, and the two terms are 6 and 4. The sum is 6+4 and the result is thus 10.

Answer:

10

Step-by-step explanation:

ab + c = ?

given:

a = 2

b = 3

c = 4

2 × 3 + 4 = 10

Answer:

(4,-9/2)

Step-by-step explanation:

(1+7/2,-6-3/2)

(4,-9/2)

Answer:

Khan academy could really help it has videos and lessons so start there.

Step-by-step explanation:

Answer:

OK, the answer is x = 5, hope it helps

Step-by-step explanation:

Usually, we use the slope formula to find the slope of a line when we know two points on the line. But if we already know the slope of a line, we can use the slope formula to find a missing coordinate of a point on the line.

Here's the slope formula we'll be using:

Example

Find x if the line through the points (6, x) and (1, -5) has a slope of 2.

Since the slope of the line is 2, we'll replace the m in our slope equation with 2. The two points will give us the numbers and variable that will replace the subscripted variables in the slope equation.

Be careful here! Did you notice that the x in the first point is really the y-coordinate of that point? Now we'll use the slope formula to find the value of x, the missing y-coordinate.

-10 = -5 - x

-5 = -x

-1(-5) = -1(-x)

5 = x

x = 5

OK, the answer is x = 5, but what does the answer mean? It means that if we substitute 5 for the missing coordinate in the first point, the slope of the line between the two points will be equal to 2. If you want to check this answer, just use the slope formula to find the slope of the line between (6,5) and (1,-5). If the slope of this line is 2, you know that your answer of x=5 is correct.

The two numbers are 7/6 and 5 when the sum of two numbers is 3 more than four times the first number.

Let's call the two numbers x and y, where x is the first number and y is the second number.

The problem gives us two equations that relate the two numbers:

\(x + y = 3 + 4x\\y - x = 2y - 10\)

We can substitute the expression for y from equation 1 into equation 2:

\(y - x = 2(3 + 4x) - 10\)

Expanding the right side and simplifying, we get:

\(y - x = 6 + 8x - 10\\y - x = 8x - 4\)

Adding x to both sides:

\(y = 9x - 4\)

Substituting this expression for y into equation 1:

\(x + (9x - 4) = 3 + 4x\)

Expanding and simplifying the right side:

\(10x - 4 = 3 + 4x\)

Subtracting 4x from both sides:

\(6x - 4 = 3\)

Adding 4 to both sides:

\(6x = 7\)

Dividing both sides by 6:

\(x = 7/6\)

Substituting this value of x back into the expression for y:

\(y = 9x - 4 = 9 * (7/6) - 4 = 63/6 - 4 = 9 - 4 = 5\)

So the two numbers are 7/6 and 5.

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The mean of the following data 0,5,30,25,16,18,19,26,0,20,28 is 17.

Hence option D is the correct option.

Mean is the average value of a given set of data. It is calculated by the formula,

Mean =  {Summation of all the values in the data set} / {Number of observations is the data set}

That is, Mean = {Σ all values in the data set} / {number of observations}

The given data set is as follows,

0,5,30,25,16,18,19,26,0,20,28

The number of observations in the data set is 11.

The summation of all the values in the data set is = {0 + 5 + 30 + 25 +
16 + 18 + 19 +26 + 0 + 20 + 28} = 187

Therefore, by applying  the formula of Mean we get

Mean = 187/ 11 = 17

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Answer:

y+8=-5(x-3)

Step-by-step explanation:

The formula for point-slope form is y-y1=m(x-x1)

The points for (x1, y1) are (3, -8), meaning that 3 is x1 and -8 is y1.

So, start by writing your equation like this: y--8=m(x-3)

For the equation y--8=m(x-3), the y--8 will change to a + sign because two negatives make a positive, right? So, the equation should now look like this: y+8=m(x-3).

We know that the slope (m) is -5. Plug that into the equation to get this: y+8=-5(x-3)

And there you have it!! The equation is now in point-slope form!!

y+8=-5(x-3) is the final answer!!

Hope that helps you!! Please give me brainliest!!

In order for a sample of the entire population to be considered representative in public opinion polls, it must correctly and fairly reflect the views of the entire population.

Public opinion surveys are used to collect data and information on the opinions and views of people in a given population. For the results of a survey to be valid and reliable, the sample of people chosen for the survey must be representative of the entire population. This means that the views of those in the sample must accurately and proportionately reflect the views of the whole population.

Public opinion surveys are designed to measure the opinions and views of people in a given population. To ensure the results of the survey are accurate and reliable, the sample of people chosen for the survey must be representative of the entire population. This means that the views of those in the sample must accurately and proportionately reflect the views of the whole population. It is not necessary for the sample to exceed 50% of the targeted population, nor does it need to be based on all registered voters in the population. Therefore, option d. is the correct answer, which states that the sample must be representative in that the views of those in the sample must accurately and proportionately reflect the views of the whole population.

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Answer:

It's choice 2.

Step-by-step explanation:

The nth value is 1 more than twice the previous value

- for example,  15 = 2*7 + 1.

Finally get to swoop in and answer!

Each new value is 1 plus twice the previous value.

First value is 1. Then,

1 plus twice 1 = 3, the second value.

Second value is 3

1 plus twice 3 = 7, so

Third value is 7

and so on (this is merely a check)

Answer:

\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)

0.1717 is Probability that none has ever been married from selected 5 young women in age category at random.

In the question we have,

the number of females age 20 to 24 has never been married = 70.3%

the number of young women in this age category (20 to 24) at random = 5

We shall find out the probability that none has been maaried from selected group of 5 females.

Probability of female age 20 to 24 has never been married = 0.703

So, the probability that none has been married from selected group of 5 females ( p)= 0.703×0.703×0.703×0.73×0.73

= 0.1717

Therefore, The probability that none has ever been married is 0.1717.

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Answer:

51 Yards

Step-by-step explanation:

Each side is 36 yards. split the square in half(corner to corner) making two right triangle use the pythagorean theorem (\(A^{2}\) + \(B^{2}\) =\(C^{2}\) ) to solve.

\(36^{2}\)+\(36^{2}\)= \(C^{2}\)

1296+1296= 2592

√2592= 50.911

50.911 rounds up to 51

The length of each walkway would be,

⇒ 51 yards

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

We have to given that;

A school has a square courtyard and wants to create diagonal walkways.

Here, The length of each side of the courtyard is 36 yards.

Now, The length of each walkway would be,

⇒ √ 36² + 36²

⇒ √ 1296 + 1296

⇒ √ 2592

⇒ 50.91

⇒ 51 yards

Thus, The length of each walkway would be,

⇒ 51 yards

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Answer:

Sharika needs 2.5 days to finish the remaining work

Step-by-step explanation:

Sharika can do a work in 6 days palkey can do it in 8 days

Then the amount of work sharika can do in 1 day = 1/6

And the amount of work palkey can do in 1 day = 1/8

The amount of work both of them can do together in 1 day = 1/6 + 1/8

= 7/24

The amount of work both of them can do together in 2 day = (2× 7/24)

= 7/12

Since Palkey left the work,the amount of

work remaining for Sharika to do alone = (1 - 7/12 )

= 5/12

The number of days Sharika take to finish the remainig work. = (5/12 ÷ 1/6 )

= 5/2 days

Therefore, Sharika needs 2.5 days to finish the remaining work.

The Fourier series for f(x) is f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...].

The square wave function can be defined as:

f(x) = {1 -π ≤ x < 0

-1 0 ≤ x < π

To find the Fourier series for this function, we first need to determine the coefficients a_n and b_n.

a_n = (1/π) ∫_0^π f(x) cos(nx) dx

= (1/π) ∫_0^π (-1) cos(nx) dx + (1/π) ∫_(-π)^0 cos(nx) dx

= (2/π) ∫_0^π cos(nx) dx

= (2/π) [sin(nπ) - sin(0)]

= 0

b_n = (1/π) ∫_0^π f(x) sin(nx) dx

= (1/π) ∫_0^π (-1) sin(nx) dx + (1/π) ∫_(-π)^0 sin(nx) dx

= -(2/π) ∫_0^π sin(nx) dx

= -(2/π) [cos(nπ) - cos(0)]

= (2/π) [1 - (-1)^n]

Therefore, the Fourier series for f(x) is:

f(x) = (4/π) [sin(x) + (1/3) sin(3x) + (1/5) sin(5x) + ...]

To find the first three Fourier approximations, we truncate this series at the third term.

F_1(x) = -(4/π) sin(x)

F_2(x) = (4/π) sin(x) + (4/3π) sin(3x)

F_3(x) = (4/π) sin(x) + (4/3π) sin(3x) - (4/5π) sin(5x)

These are the first three Fourier approximations of the square wave function f(x). The more terms we include in the Fourier series, the closer the approximations will be to the original function.

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Answer:

C

Step-by-step explanation:

We know that people who have high salaries can afford expensive cars. But they cannot get wealthier by just driving expensive cars. Common sense.

Answer:

I'm sorry, but I don't know how to figure it out, but you can use a protractor to find it if you have one, just put it on your computer screen and you can find the angle. I hope this helps, sorry I don't know how to do it.

Step-by-step explanation:

Answer: Infinite solutions

Step-by-step explanation:

\(8-(2x-9)=17-2x\)

Begin by distributing the negative into the parenthesis.

\(8-2x+9=17-2x\)

Combine like terms;

\(17-2x=17-2x\)

Subtract 17

\(-2x=17-17-2x\)

\(-2x=-2x\)

Add 2x

\(-2x+2x=0\\0=0\)

Equation: 8 - (2x - 9) = 17 - 2x

First, we distribute the - sign.

8 -2x + 9 = 17 - 2x

Then, we combine like terms if there any on both sides.

17 - 2x = 17 - 2x

Now, we can see the equations are equal to each other.

However, we can go a step further and solve for x.

17 - 2x = 17 - 2x

Subtract 17 from both sides.

-2x = -2x

Divide both sides by -2.

x = x

Therefore, x has no value or is 0.

Answer:

1728

Step-by-step explanation:

2\(\pi\)r h

2\(\pi\)(11) × 14

968

B=\(\pi r^{2}\)

B=\(\pi\)11^2 =121\(\pi\)

S=2\(\pi\)rh + 2\(\pi r^{2}\)

S=968 +2 x 121

S=968 +242\(\pi\)= 1728

Answer: D. height when first thrown

Step-by-step explanation:

         The constant term, 5, in this equation represents the height of the ball when it was first thrown. This means that our answer is option D.

         This constant term (5) is also the y-intercept. When we graph this equation, the line starts at (0, 5) if you ignore the negative values since we cannot have a negative time for this scenario. This is a visual representation of the ball being thrown.

The general solution of the system is: x = x (free parameter), y = (7/2)x, and z = -(3/2)x. This represents the set of all solutions to the system of equations.

To find the general solution of the system represented by the augmented matrix, we can perform row operations to bring the matrix to its reduced row-echelon form (RREF). The RREF will reveal the solution of the system.

Let's work through the row operations step by step:

Row 2 = Row 2 - 2 × Row 1

Row 3 = Row 3 - 4 × Row 1

The new augmented matrix after the first row operation:

[ 2 -7 3 0 ]

[ 0 0 0 0 ]

[ 0 0 0 0 ]

Next, divide Row 1 by 2:

Row 1 = Row 1 / 2

The updated augmented matrix:

[ 1 -7/2 3/2 0 ]

[ 0 0 0 0 ]

[ 0 0 0 0 ]

Now, we can see that the second and third rows consist of all zeros. This indicates that the system has infinitely many solutions.

To express the general solution, we can assign a parameter to one of the variables (let's choose x):

x = Free parameter

Then, we can express the other variables in terms of x:

y = (7/2)x

z = - (3/2)x

Therefore, the general solution of the system is:

x = x (free parameter)

y = (7/2)x

z = -(3/2)x

This represents the set of all solutions to the system of equations. By assigning different values to the parameter x, we can obtain infinitely many solutions.

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As per the probability of lying,  the probability that Seattle is rainy is 0.963

The term probability in math is known as the occurrence of a random event and the value of probability is expressed from zero to one.

Here we have given that three friends in Seattle each told you it’s rainy, and each person has a 1/3 probability of lying.

Through this line we have identified that

lying probability = 1/3

Then the probability rain is calculated as,

=> 1 - probability all lying

=> 1 - (1/3)³

=> 1 - 1/27

=> 26/27

When we simplify this one, then we get the value as decimal for as,

=> 0.963

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Answer:

Step-by-step explanation:

12 dollars per hour

An infinite geometric series is one in which each term is equal to the preceding term multiplied by a fixed non-zero number, known as the common ratio.

The first term is called a1, and the common ratio is represented by r.In this particular question, we are required to find the value of a1 and r for an infinite geometric series. The partial sum S2 will also need to be found.For a geometric sequence that is infinite, the formula for the partial sum, Sn, is:Sn = a1 / (1-r), where a1 is the first term and r is the common ratio.To solve for a1, it is necessary to know two other variables: the common ratio r and the value of the first term a1. S2 is the sum of the first two terms, so: S2 = a1 + arTo find S2, we must first determine a1 and r. a1 is the first term in the sequence, and r is the common ratio. We can obtain both a1 and r by dividing the second term by the first term.The formula is:r = (ar/a1) = a2/a1 Substitute the value of r and a1 into the formula for S2 to obtain the result: S2 = a1 + ar = a1 + a1r = a1(1+r) Therefore, the value of a1 is a constant number that will appear in the series, and the common ratio, r, will be multiplied by this number to obtain the next value in the series.

So, a1 is the first term, and r is the common ratio of the infinite geometric series. S2, the sum of the first two terms, is found by using the formula S2 = a1 + ar where a1 is the first term and r is the common ratio.

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A T-beam having dimensions bf=700mm, hf=100mm, bw =200mm, h=400mm, Cc=40mm,stirrups=12mm, fc'=21Mpa, fy=415Mpa is reinforced by 4-32 mm diameter bars for tension only. Depth of the Neutral Axis To compute the depth of the neutral axis, we use the following expression:

\($$\frac{d_{n}}{h}=\frac{\sqrt{1-2\frac{\beta_{1}}{\beta_{2}}}-\sqrt{1-2\frac{\beta_{1}}{\beta_{2}}\frac{k}{d}}}{\frac{k}{d}-1}$$\) Where,$$\(\beta_{1}=\frac{bw}{h}\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\text{ }\beta_{2}=2+\frac{6.71fy}{f'_{c}}$$$$k=\beta_{1}d_{n}$$$$d_{n}=d-C_c-0.5\phi_s.\)

$$ Substitute the given values to find the depth of the neutral axis.\($$\beta_{1}=\frac{200}{400}=0.5$$$$\beta_{2}=2+\frac{6.71\times 415}{21}=135.37$$$$k=0.5d_{n}$$$$d_{n}=d-C_c-0.5\phi_s$$$$=400-40-0.5\times 12$$$$=394mm $$.\)

The nominal moment capacity To determine the nominal moment capacity, we use the formula,$$M_\({n}=f'_{c}I_{g}+\sum_{n}^{i=1}A_{s}(d-d_{s})f_{y}.\)

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