At a sale, soccer cleats were sold for
$59.50. If the original price was :
$70, what
percentage of its original price were soccer
cleats sold for?

Answer:

decreases

Step-by-step explanation:

To convert pennies to nickels, dimes, and quarters, you need to divide the number of pennies by the value of each coin.

The value of a nickel is 5 cents, a dime is 10 cents, and a quarter is 25 cents.

Here's an example of how to convert 100 pennies to nickels, dimes, and quarters:

Nickels: 100 pennies / 5 cents/nickel = 20 nickels

Dimes: 100 pennies / 10 cents/dime = 10 dimes

Quarters: 100 pennies / 25 cents/quarter = 4 quarters

So, 100 pennies can be converted into 20 nickels, 10 dimes, and 4 quarters.

Correct Question :

How to convert pennies to nickels dimes and quarters?

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Answer:

QUESTION 24

To estimate the intercepts, we set f(x) to zero and solve for x:

f(x) = x^3 + 2x^2 - 5x - 6 = 0

Using synthetic division, we can find that x = -2 is a zero of the function. This means that (x + 2) is a factor of f(x), and we can write:

f(x) = (x + 2)(x^2 + x - 3)

Setting each factor to zero, we find that the intercepts are:

x + 2 = 0 -> x = -2

x^2 + x - 3 = 0 -> x = (-1 ± √13)/2

To estimate the turning points, we can use the fact that the derivative of a function is zero at a turning point. The derivative of f(x) is:

f'(x) = 3x^2 + 4x - 5

Setting f'(x) to zero, we find:

3x^2 + 4x - 5 = 0 -> x = (-2 ± √19)/3

We can now use these values to sketch the graph:

The intercepts are (-2,0) and approximately (-2.3,0.0) and (0.8,-7.5).

The turning points are approximately (-1.8,-11.1) and (0.5,-6.8).

The graph starts in the third quadrant, goes through the origin in the second quadrant, has a local maximum in the first quadrant, goes through the x-axis in the fourth quadrant, has a local minimum in the third quadrant, and goes to infinity in the second and fourth quadrants.

QUESTION 26

Here is a sketch of the graph of the polynomial function y = f(x) based on the given information:

            |                     /

            |                   /

            |                 /

            |               /

            |             /

            |           /

            |         /

            |       /

-----------+---------------

            |    /

            |  /

            |/

The graph has two x-intercepts, one around x = -3 and one around x = 2. There is also a turning point or local maximum around x = -1 and a turning point or local minimum around x = 1. The end behavior of the graph is that it approaches negative infinity as x approaches negative infinity and approaches positive infinity as x approaches positive infinity.

Answer:

To estimate the intercepts and turning points of the function f(x) = x^3 + 2x^2 - 5x - 6, we can use a table of values.

When x = 0, f(x) = -6. So the y-intercept is (0, -6).

Factoring the polynomial, we find that the zeros are x = -3, x = -1, and x = 2. Therefore, the x-intercepts are (-3, 0), (-1, 0), and (2, 0).

To find the turning points, we can look for where the slope changes sign. We can estimate that there is a local minimum at (-2.5, -13.6) and a local maximum at (1.1, -7.3).

Using this information, we can sketch the graph of f(x).

To sketch the graph of y = f(x) with the given information, we can plot the x-intercepts (-3, 0), (-1, 0), and (2, 0). We know that the function is positive on the intervals (-∞, -3), (-2, 0), and (2, 3), so we can sketch the function above the x-axis in these regions. Similarly, we know that the function is negative on the intervals (-3,-2), (0, 2), and (3,∞), so we can sketch the function below the x-axis in these regions.

We also know that the function is increasing on the intervals (-2.67, -1) and (1, 2.5), and decreasing on the intervals (-∞, -2.67), (1, 1) and (2.5,∞). Using this information, we can sketch the function as increasing in the intervals (-2.67, -1) and (1, 2.5), and decreasing in the intervals (-∞, -2.67), (1, 1), and (2.5, ∞).

Finally, we can connect the intercepts and turning points with smooth curves to obtain a sketch of the function y = f(x).

Loving the LED's btw!

On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

Smooth ceiling spacing

If the ceiling slope is less than 30°, smoke detectors are spaced based on height at the ceiling. A “smooth” ceiling is uninterrupted by continuous projections extending more than 4 inches below the ceiling, the spacing changes when it is interuppted with bolts or other projections.

Therefore, On a sloping ceiling, beams run up the slope and are 14 inches deep. the average ceiling height is 15 feet. according to nfpa 72, the smoke detector spacing should be a of smooth ceiling spacing

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Answer:

7

Step-by-step explanation:

42/6=7

Answer:

x=16

Step-by-step explanation:

Actually this is trig I believe.

cos60=8/x

x=8/cos60=16

An ellipse has the general equation

(x/a)² + (y/b)² = 1

(actually, this is an ellipse whose semimajor and -minor axes are parallel to the x- and y-axes, but one can rotate any ellipse so that it has the same configuration, and the area remains constant)

Convert to a kind of rescaled polar coordinates, using

x = a r cos(t)

y = b r sin(t)

Then the interior of such an ellipse is the set

E = {(r, t) : 0 ≤ r ≤ 1 and 0 ≤ t ≤ 2π}

The area of E is then given by the integral

\(\displaystyle \iint_E dA\)

Compute the Jacobian determinant for this change of coordinates. The Jacobian is

\(J = \begin{bmatrix}x_r & x_t \\ y_r & y_t\end{bmatrix} = \begin{bmatrix}a \cos(t) & -a r \sin(t) \\ b \sin(t) & b r \cos(t)\end{bmatrix}\)

Then we have Jacobian determinant

|det(J)| = |a b r cos²(t) + a b r sin²(t)| = |a b r| = |a b| r

since r ≥ 0.

The area of E is then

\(\displaystyle \iint_E dA = \iint_E |ab| r \, dr \, dt\)

\(\displaystyle \iint_E dA = \int_0^{2\pi} \int_0^1 |ab| r \, dr \, dt\)

\(\displaystyle \iint_E dA = 2\pi |ab| \int_0^1 r \, dr\)

\(\displaystyle \iint_E dA = \boxed{\pi |ab|}\)

Yes, the equation of velocity is rearranged to find the area under the curve.

The equation of velocity in general is v = d/t

where v = velocity, d = distance, and t = time.

We rearrange this equation to create an equation for distance and the equation of distance determines the area under the curve.

Our motive is to isolate the variable whose equation we want to create. So, in this case, isolate 'd' and move all other variables to the other side.

1. Multiply both sides by t

v × t = d/t × t

2. Cancel the t where appropriate

v × t = d

3. We get the equation for d

d = v × t

Now, this equation is used to find the area under the curve.

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Answer:

domain: all real numbers

range : y ≥ 7

Step-by-step explanation:

The domain is the values that x can take

X can take any value so the domain is all real numbers

The range is the values that y can take

The smallest value  for the absolute value is 0

0+7 =7 so the smallest value for y is 7

range is y ≥ 7

Answer:

The cost of each sedan is twenty five thousand dollars while the cost of each SUV is thirty two thousand dollars

Step-by-step explanation:

The given parameters are;

The number of sedans the Flex N Furious Luxury Car dealership owner purchases = 8 sedans

The number of sport utility vehicles the Flex N Furious Luxury Car dealership owner purchases = 6 sport utility vehicles

The number of sedans the Capital Height locations receive = 5 sedans

The number of sport utility vehicles the Capital Height locations receive = 2 sport utility vehicles

The total cost of the cars received by the Capital Height locations = $189,000

The number of sedans the District Height locations receive = 3 sedans

The number of sport utility vehicles the District Height locations receive = 4 sport utility vehicles

The total cost of the cars received by the District Height locations = $203,000

To answer the question, we proceed as follows;

Let, x represent the cost of each sedan and let y represent the cost of each sport utility vehicle

From the question, we have;

For the Capital Height locations

5·x + 2·y = 189,000...(1)

For the District Height locations

3·x + 4·y = 203,000...(2)

Making y the subject of both equations gives;

For equation (1) 5·x + 2·y = 189,000

y = (189,000 - 5·x)/2 = 94,500 - 2.5·x

y = 94,500 - 2.5·x

For equation (2) 3·x + 4·y = 203,000

y = (203,000 - 3·x)/4 = 50,750 - 0.75·x

y = 50,750 - 0.75·x

The solution is given by the point where both equations are equal, therefore, we have;

The solution for the x-values, is where 94,500 - 2.5·x = 50,750 - 0.75·x

Which gives;

94,500 - 50,750 = 2.5·x - 0.75·x

43,750 = 1.75·x

x = 43,750/1.75 = 25,000

x = 25,000

The cost of each sedan = x = $25,000

The y-value at the common x-value is the solution for the common y-values given as follows;

From y = 50,750 - 0.75·x, substituting, x = 25,000, gives;

y = 50,750 - 0.75 × 25,000 = 32,000

y = 32,000

The cost of each sport utility vehicle = y = $32,000

The evidence of the above answers are;

The total cost of the cars received by the Capital Height locations, C, is given as follows;

C = Cost of 5 sedans + Cost of 2 Sports utility vehicles

5 × 25,000 + 2 × 32,000 = 189,000

The total cost of the cars received by the Capital Height locations is $189,000 as given in the question

The total cost of the cars received by the District Height locations, D, is given as follows;

D = Cost of 3 sedans + Cost of 4 Sports utility vehicles

3 × 25,000 + 4 × 32,000 = 203,000

The total cost of the cars received by the District Height locations is $203,000 as given in the question

Therefore, we have the cost of each sedan is twenty five thousand dollars while the cost of each SUV is thirty two thousand dollars.

Answer:

Step-by-step explanation:

To get the correct answer, you can count the total number of shaded tenths and the total number of shaded hundredths and then regroup.

There are 9 shaded tenths and 18 shaded hundredths. Regroup 10 hundredths into 1 tenth to get 10 tenths and 8 hundredths. Then regroup the 10 tenths in one whole, giving you 1 whole and 8 hundredths. The product is 1.08.

Another way to get the answer is to count the total number of shaded hundredths. There are 108 hundredths. Regroup 100 of them as one whole, giving you 1 whole and 8 hundredths.

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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The distance from your eyes to the horizon is approximately 4.7 kilometers (2.92 miles).

The surface refers to the two-dimensional, flat, or curved boundary of a three-dimensional object. For example, the surface of a sphere is a curved two-dimensional boundary that encloses the three-dimensional space inside the sphere.

The distance from your eye to the horizon on the Earth's surface depends on your height above the surface. Assuming that you are standing on a flat surface and your eyes are at an average height of about 1.7 meters (5.6 feet) above the ground, the distance to the horizon.

distance to horizon = √(2Rh + h²)

where R is the radius of the Earth (6,371,000 meters) and h is the height of your eyes above the ground (1.7 meters).

Plugging in the values, we get:

distance to horizon = √(2 x 6,371,000 x 1.7 + 1.7²) = 4,690 meters (approximately 15,387 feet or 2.92 miles)

Therefore, if you are standing on the Earth's surface with your eyes at an average height of 1.7 meters, the distance from your eyes to the horizon is approximately 4.7 kilometers (2.92 miles).

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Answer:

Step-by-step explanation:

(A) A function is a rule that assigns unique output(s) to each input(s). (B) The graph of a function is a set of ordered pairs consisting of one input and the corresponding output. (C) You can determine if a graph represents a function by using the vertical line test.

Step-by-step explanation:

a=5*-4*-3

a=-2

hope this helps

Answer:

A

Step-by-step explanation:

Range = Highest value - Lowest value

At Park Zoo:

R = 44 - 38

= 6

At Countryside Zoo;

R = 45 - 38

= 7

So, it cannot be D, because the ranges are not the same and it cannot be B because the range is greater at countryside zoo

The mode is the value that appears the moat frequently.

At Park zoo, the mode is 41 since it has the most dots.

At Countryside zoo, the mode is 40, since it has the most dots

So, it cannot be C because Park zoo has a greater Mode.

so, the only answer is A

Answer:

300, 791

Step-by-step explanation:

Answer:

The measures of all eight angles formed by the parallel lines and transversal are;

The four angles for the one of the parallel line = 12°, 168°, 12°, 168°

The four angles for the other parallel line = 12°, 168°, 12°, 168°

Step-by-step explanation:

The same-side interior angle theorem states that the the sum of the same side interior angles formed by the transversal intersection of two parallel lines is equal to 180°

Whereby the ratio of the angles is 1:14, we have;

Let one of the angles = x

Therefore, the other angle = 14·x

We then have;

x  + 14·x = 180°

15·x = 180°

x = 180°/15 = 12°

∴ The other angle = 14×12 = 168°

Hence the four angles on one of the parallel lines are therefore;

12°, 168°, 12°, 168°

Similarly, the four angles on one of the other parallel line are;

12°, 168°, 12°, 168°

The measures of all eight angles formed by the parallel lines and transversal = 12°, 12°, 12°, 12°, 168°, 168°, 168°, 168°.

A condition that is impossible to satisfy has no solution.

Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.

In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.

An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.

This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.

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Answer:

Negative association

Step-by-step explanation:

Answer: I’m pretty sure it is 8

Step-by-step explanation:

Please correct me if I’m wrong!

Answer:

730.88

Step-by-step explanation:

Area of the entire circle = pi * r^2

r = 16

Area = 3.14 * 16^2

Area = 803.84

1/4 of the circle contains the shaded area. It's area = 1/4 * 803.84

Area of 1/4 circle =

200.96

the area of the triangle

Area = 1/2 AG * G?

AG and G? are equal

Area = 1/2 * 16^2

Area = 128

Area of 1/4 circle - area of the triangle = area of the shaded portion

shaded portion = 200.95 - 128

Shaded Portion = 72.96

So the area of the unshaded part

unshaded = 803.84 - 72.96

Unshaded = 730.88

Answer:

(x-12)/5

Step-by-step explanation:

Answer: 160

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Let 100 = 5 in the ratio of 8:5

100/5 = 20 per piece of the ratio

Times both sides by 20 for new value:

8:5 x 20 = 160:100

Answer = 160

Step-by-step explanation:

= $35 - $12.67 + $7.50

= $22.33 + $7.50

= $29.83

So now, George has $29.83

Answer:

Area: Bottom face: A = (20 cm)(8 cm) = 160 cm²

Back face: A = (20 cm)(6 cm) = 120 cm²

Sloped face: A = (20 cm)(10 cm) = 200 cm²

Total: 528 cm²

Step-by-step explanation:

Hope this helps!