A survey showed that 70% of students would select roller coasters as their favorite ride at an amusement park. Out of 5,000 students, predict how many would select roller coasters as their favorite ride?

36x^2-25

use the formula a^2-b^2=(a+b)(a-b)

a=6x b=5

therefore the answer is (6x+5)(6x-5)

Answer:

a = 110

c = 30+10

b = 30

Step-by-step explanation:

0.426 is the decimal form.

Four hundred and twenty-six thousandths written in decimal form is 0.426. The 'thousandth' place value is three decimal places to the right, which informed our conversion.

The student's question, 'Write four hundred and twenty-six thousandths in decimal form' relates to the concept of place value in mathematics. Writing numbers in decimal form is the process of expressing a number in terms of units, tens, hundreds, etc.

Now, to write four hundred and twenty-six thousandths in decimal form: we know that 'thousandths' refers to a place value that's three places to the right of the decimal. Therefore, four hundred and twenty-six thousandths will be written as 0.426 in decimal form. This is because the digit '4' represents four-tenths, '2' for twenty-hundredths, and '6' for six-thousandths.

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Answer:

Step-by-step explanation:

First, we'll arrange the number sequence from lowest to highest - 0,50,50,51,52,55,57,57,58,58,58,58,59,60,62,63,64,66,67,67.

Second, we'll find the median Q2 - (58+58) / 2 = 58

Third, we'll take the middle numbers before the median as our lower quartile Q1 - (52+55) / 2 = 53.5

Fourth, we'll take the middle numbers after the median as our upper quartile Q3 - (62+63) / 2 = 62.5

Answer:

The solution set is {-1, 7}

Step-by-step explanation:

Rewrite x^2-6x=7 as x^2 - 6x                            = 7.

Identify the coefficient of the x term; it is -6.

Halve this coeff (obtaining -3)

Square this result (obtaining 9)

Add 9 to  x^2 - 6x   and then subtract 9 from the result:  x^2 - 6x  + 9 - 9

Then we have:

x^2 - 6x  + 9 - 9 = 7.  Add 9 to both sides, obtaining

x^2 - 6x  + 9       = 16

Rewrite x^2 - 6x  + 9 as the square of a binomial:  (x - 3)^2

Then we have

(x - 3)^2 = 16

Taking the square root of both sides, we get

x - 3 = ±4, so that:  x = 3 + 4 = 7, and x = 3 - 4 = -1.

The solution set is {-1, 7}.

Answer:

To complete the square x^2-6x=7

We take the coefficient of X which is -6

     divide it by 2  -3

     square that number 9

     then add it to both sides of the equation.

x^2 -6x + 9 = 16

(x -3) * (x -3) = 16

We take the square root of both sides:

a) x-3 = 4

b) x-3 = -4

Therefore, x = 7 and x = -1

Step-by-step explanation:

ANSWER

w=48,l=60

EXPLANATION

Let the width of the field be, w , then,

the length of the field will be:

[tex]l = 12 + w[/tex]

The area of a rectangle is

[tex]Area = lw[/tex]

This implies that:

[tex]w(12 + w) = 2880[/tex]

Expand

[tex] {w}^{2} + 12w = 2880[/tex]

[tex] {w}^{2} + 12w - 2880 = 0[/tex]

[tex](x + 60)(x - 48) = 0[/tex]

This implies that,

[tex]w = - 60 \: w = 48[/tex]

The dimensions are positive, the width is 48 and the length is 12+48=60

Answer:

Word Form:

two and four hundred five thousandths

_____________________________________

Expanded Form:

2  

+   0.4

+   0.00

+   0.005

Step-by-step explanation:

Answer:

2 and 4 hundredths

its right on god

Answer:

2600 yd cubed

Step-by-step explanation:

13 times 20 is 260

260 times 10 is 2600

Answer: D; Yes; no vertical line passes through two graphed points.

Step-by-step explanation:

A graph is only considered a function if it passes the vertical line test. The vertical line test is basically when you put a vertical line on any point in the graph, it can’t pass through more than one graphed point. It can only touch the line once. That graph is considered a function because no two points touch a vertical line in the same x-value.

Answer:

Option D.

Step-by-step explanation:

A relation is a function if there exist a unique output for each input value. In other words a relation is a function if there exist a unique value of y for each value of x.

Vertical line test : According to the vertical line test if the graph of a relation intersect any vertical line at most once, then the relation is a function.

From the given table it clear that the ordered pairs of relation are(-5,-5), (-3,-3), (1,1) and (2,2).

For each value of x, there is a unique value of y. It means no vertical line passes through two graphed points. So, the given relation is a function.

Therefore, the correct option is D.

Answer:

The chocolate drink became popular in Europe, because sugar made it taste better.

Hope this helps! :)

Answer:

Step-by-step explanation:

According to the problem, we have the following premises:

From this premises, we can deduct that once The Spanish added sugar to the chocolate, it became popular and Chocolate houses appeared to sell this product. But, only after adding sugar, because before it, people don't like it, because natural chocolate doesn't taste good.

Therefore, the right conclusion among the options would be:

The chocolate drink became popular in Europe because sugar made it taste better.

Answer:

Mean : ≈ 12.7

Median: ≈ 13.5

Step-by-step explanation:

To find the mean you must add all the numbers and divide by the # of numbers in the set.

8+12+13+14+14+15 = 76

76/6 ≈ 12.7

To find the median you have to order the numbers from least to greatest, the middle number should be the median, but in this case two numbers are in the middle.

8, 12, 13, 14, 14, 15

So you have to add 14 and 13, which is 27.

Then divide by 2 which is ≈ 13.5

Answer:

3.1623 (sqrt(10))

Step-by-step explanation:

Standard Deviation is calculated by first squaring the differences between the observations and the mean and then taking the square root of the sum of the squares of the differences divided by the number of observations - 1.

Mean = Sum of Observations/Total Observations

Mean = (5 + 7 + 9 + 11 + 13)/5 = 45/5 = 9.

Square of the mean = 9^2 = 81.

Now subtracting the mean from each observation and squaring it gives:

(5 - 9)^2 = (-4)^2 = 16

(7 - 9)^2 = (-2)^2 = 4

(9 - 9)^2 = (0)^2 = 0

(11 - 9)^2 = (2)^2 = 4

(13 - 9)^2 = (4)^2 = 16

Sum of squares = 16 + 4 + 0 + 4 + 16 = 40.

Standard deviation = sqrt(40/4) = sqrt(10) = 3.16 (correct to 2 decimal places).

Therefore, answer is 3.16!!!

Answer:

sqrt 10

Step-by-step explanation:

a-p-e-x

Answer:

$10.50

Step-by-step explanation:

If you draw the points on a grid, you will see that the length of the rectangle is 8 -2 = 6 feet & width of the rectangle is 5 -3 = 2 feet.

Hence the area of the rectangle is 6 * 2 = 12 feet^2

Since one bag cover 6 ft^2, he will need 2 bags to cover 12 ft^2.

Each bag costs 5.25, so 2 bags will cost 5.25 * 2 = $10.50

Gardner will need $10.50 to cover the garden

The cost for the gardener to cover her garden with mulch is $10.50.

First, we need to calculate the area of the garden, which is a rectangle. The area of a rectangle is given by the formula:

[tex]\[ \text{Area} = \text{length} \times \text{width} \][/tex]

Using the given vertices (2, 5), (8, 5), (8, 3), and (2, 3), we can determine the length and width as follows:

- Length (horizontal distance between (2, 5) and (8, 5)): ( 8 - 2 = 6 ) feet

- Width (vertical distance between (2, 5) and (2, 3)): ( 5 - 3 = 2 ) feet

 Now, we calculate the area of the garden:

[tex]\[ \text{Area} = 6 \text{ feet} \times 2 \text{ feet} = 12 \text{ ft}^2 \][/tex]

Next, we need to find out how many bags of mulch are required to cover this area. Since one bag covers 6 ft², we divide the total area by the area covered by one bag:

[tex]\[ \text{Number of bags} = \frac{\text{Total area}}{\text{Area per bag}} = \frac{12 \text{ ft}^2}{6 \text{ ft}^2/\text{bag}} = 2 \text{ bags} \][/tex]

Finally, we calculate the total cost by multiplying the number of bags by the cost per bag:

[tex]\[ \text{Total cost} = \text{Number of bags} \times \text{Cost per bag} = 2 \text{ bags} \times $5.25/\text{bag} = $10.50 \][/tex]

Therefore, the gardener will need to spend $10.50 to cover her garden with mulch.

Answer:

C. 20

Step-by-step explanation:

Let's say M is the original number of men and W is the original number of women.

M / W = 3 / 5

(M+2) / (W+1) = 2 / 3

Let's cross multiply both equations:

5M = 3W

3(M+2) = 2(W+1)

Let's simplify the second equation:

3M + 6 = 2W + 2

3M + 4 = 2W

From the first equation:

M = 3/5 W

Substitute:

3 (3/5 W) + 4 = 2W

9/5 W + 4 = 2W

4 = 1/5 W

W = 20

There were originally 20 women.

Let's check our answer.  That would mean that M = 3/5 W = 12.

After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3.  Looks like the answer is correct!

Answer C.

Answer:

[tex]\large\boxed{y=-2x+14}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{1}{2}x+8\to m_1=\dfrac{1}{2}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{The equation of the searched line:}\ y=-2x+b.\\\\\text{The line passes through }(4,\ 6).[/tex]

[tex]\text{Put thecoordinates of the point to the equation.}\ x=4,\ y=6:[/tex]

[tex]6=-2(4)+b\\\\6=-8+b\qquad\text{add 8 to both sides}\\\\b=14[/tex]

Answer:

B) y = -2x + 14

Step-by-step explanation:

Solution: y = -2x + 14. To solve this problem, first determine the slope of your line. Since perpendicular lines have slopes that are opposite reciprocals of each other, we know that the slope is -2. Then plug your slope (-2) and point (4,6) into the equation y = mx + b to solve for b. The resulting value for b is 14.

Answer:

Step-by-step explanation:

givens

x1 = 3

x2 = 4

y1 = 4

y2 = 7

formula

d = sqrt( (x1 - x2)^2 + (y1 - y2)^2 )

solution

d = sqrt( (3 - 4)^2 + (4 - 7)^2 )

d = sqrt ( 1 + 3^2)

d = sqrt( 1 + 9)

d = sqrt( 10)

If the 2-ounce jar of fish food is enough for 100 days, then for 110 days you can say: 2/100= 0.02 ounces of fish food per day in 100 days. So, because there are 10 more days, 10 x 0.02= 0.2 So, add 2.0 + 0.2= 2.2. The answer is 2.2 ounces of food.

Well you haven’t gave me any examples so I will just list some:

Answer:

See below

Step-by-step explanation:

Eleven

Remark

When you join the midpoints of two sides of a triangle, two properties are true.

For this question, the first property is not as important as the second.

it means that DE is 1/2 the size of GJ

Equation

4x + 5 = 1/2 * (3x + 25)

Solution

Multiply both sides by 2

2(4x + 5) = 2*[1/2*(3x + 25)       Simplify

2(4x + 5) = 3x + 25                   Remove the brackets on the left

8x + 10 = 3x + 25                      Subtract 3x from both sides

8x-3x + 10 = 25                         Subtract 10 from both sides.

5x = 25 - 10

5x = 15

x = 3 Answer

DE = 4*3 + 5

DE = 17 Answer  

Ten

I wasn't quite sure if you wanted this done.

Givens

MP is the perpendicular bisector of NL

That makes the triangle isosceles.

ML = MN

PL = PN                    

Solution

ML = MN

7x + 9 = 11x -7                Subtract 11x from both sides.

7x - 11x + 9 = 11x-11x-7

-4x + 9 = - 7                   Subtract 9 from both sides.

-4x + 9-9 = -7-9             Combine

-4x = - 16                        Divide by - 4

-4x/-4 = - 16/-4

x = 4

==============

PL = PN

2y + 2 = 16                     Subtract 2

2y + 2-2 = 16-2              Combine

2y = 14                           Divide by 2

2y/2 = 14/2                    Combine

y = 7

im ppretty sure thats correct. Im not a genius though.

Answer:

294 m² is correct

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the height and a, b the parallel bases

here h = 21, a = 21 and b = 7, thus

A = [tex]\frac{1}{2}[/tex] × 21 × 28 = 294 m²

17. 144+x2=484

X2=Earp

16.

tan(angle) = Opposite leg / adjacent leg

tan(36) = 12 / x

x = 12 / tan(36)

x = 16.5166

Round answer as needed.

17.

sin(angle) = Opposite leg / Hypotenuse

sin(x) = 12/22

x = arcsin(12/22)

x = 33.056 degrees.

Round answer as needed.

You do not say how the answers need to be rounded, so please round them as needed.

Answer:

[tex]\boxed{-2; 6}[/tex]

Step-by-step explanation:

Think of this as an ordinary addition problem.

What must you add to 3a³ to get 1a³?   Answer: add -2a³

3 + (-2) = 1

What must you add to -5b³ to get 1b³? Answer: add 6b³

-5  + 6 = 1

Then, the addition looks like this:

[tex]\begin{array}{rcr}3a^{3} & + & -5b^{3}\\\boxed{-2}a^{3} & + & \boxed{6}b^{3}\\a^{3} & + & b^{3\\\end{array}[/tex]

The numbers in the boxes are -2 and 6.

The equation for surface area of a box is

[tex]a = 2(wl + hl + hw)[/tex]

So if we substitute the measurements into the equation we get

[tex]a = 2(4 \times 5 + 3 \times 5 + 3 \times 4)[/tex]

and with some calculations, that would equal

[tex]a = 2(20 + 15 + 12)[/tex]

[tex]a = 2(47)[/tex]

[tex]a = 94[/tex]

The total area for the box is 94 inches². Hope this helps!

Answer:

22 + n = 12 N= 10

Step-by-step explanation:

If you were to subtract 22 from 12 you would get 10. If you would like to guess and check you could add 10 and 12 to make sure its 22!

-34

22+-34=-12 N=-34

If you add 22 by -34 your answer will be -12

Hope this helps

Answer:

3√2(5√8-7√3) = 60 - 21√6

Step-by-step explanation:

We need to find the product of  3√2(5√8-7√3). The distributive property states that: A(B+C) = AB + AC.

Then, by using the distributive propertive we have that:

3√2(5√8-7√3) = 3√2 * 5√8 - 3√2 * 7√3 = 15√8√2 - 21√2√3.

Also, we know that: √A√B = √AB. Using this:

15√8√2 - 21√2√3 = 15√16 - 21√6 = 60 - 21√6.

Answer:

The correct answer is 60 -21√6

Step-by-step explanation:

It is given that,

3√2(5√8 - 7√3)

To find the product

We have

3√2(5√8 - 7√3) = 3√2(5√8) -  3√2(7√3)

= 3*5√(2 * 8) - 3 * 7 √2 * 3

= 15√16 - 21√6

= 15 * 4 - 21√6

= 60 -21√6

Therefore 3√2(5√8 - 7√3) = 60 -21√6

The correct answer is 60 -21√6

The cost of admission for a group of 2 people is 50 dollars.

The given function C(P) represents the cost C (in dollars) of admission for a group of P people at the amusement park. The function is a simple linear equation with a slope of 25, indicating that the cost of admission increases by 25 dollars for each additional person in the group.

To find the cost of admission for a group of 2 people, we will substitute P = 2 into the function:

C(2) = 25 * 2

C(2) = 50

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I believe the answer is 42.

A factor for both 42, and 84 is 42 so that would be the greatest number

The greatest common factor of 42 and 84 is 42.

A factor refers to a number or an algebraic expression that divides another number or expression evenly, that is, with no remainder.

42 = 1, 2, 3, 6, 7, 14, 21 and 42.

84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

Hence, the greatest common factor of 42 and 84 is 42

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Answer:

3,3,6

Step-by-step explanation:

The sides of a triangle are a,b,c

We know a+b< c  where a and b are the two smaller sides

3+4 <5  True

4+5 <6  True

3+3 <6   False  they are equal.  This will not make a triangle

ANSWER

C. {(-2,-1),(0,1),(2,3)}

EXPLANATION

To write the relation as an ordered pair, we write out the coordinates of the points.

Starting from left to right, the first point has coordinates,(-2,-1).

The second point has coordinates;

(0,1)

The third point has coordinates (2,3).

Therefore the relation as ordered pair is;

{(-2,-1),(0,1),(2,3)}

The correct answer is C.

Answer:

$5

Step-by-step explanation:

Answer:

Answer is $5.00.

Step-by-step explanation:

The lighting products company has put a new brand of solar light bulbs on the market.

Graph attached shows the estimated revenue in million dollars at y - axis and selling price of the light bulb represented on x - axis.

Graph analysis

Maximum revenue generated from the graph is given as 3 million dollars.

For this maximum revenue of 3 million dollars price of the bulb was $5.00.

Therefore, $5.00 is the selling price of the bulb for which maximum revenue is expected.