What do (180 degrees)/pi and pi/(180 degrees) equal?

Answer:

the answer to your question is x=3

Answer:

Option A: x = 3

Step-by-step explanation:

The lowest part of the parabola has an x-value of 3.

Answer: a)159 boxes of cereal will be sold during the 10th week, b) an = 15n + 9

Step-by-step explanation:

Answer: Width: 12 Height: 24 Depth: 18

Step-by-step explanation: Width= 12, 12x2=24 and 12x1.5=18. 12x24x18=5184in3

The arc length is D) 3.14 meters.

What is arc length?

In mathematics, an arc is a portion of a curve that can be thought of as a segment of the curve. An arc is a connected set of points on a curve, usually a portion of a circle.

It is defined by two endpoints and all the points along the curve between them. The length of an arc is the distance along the curve between its two endpoints.

The distance along the curved line that forms the arc (a section of a circle) is measured using the arc length formula.

                                      [tex]A_L=\frac{\theta}{360\textdegree}2\pi r[/tex]

Here the give circle Radius PR = 3m and θ=60°.

Now using arc length formula then,

=> Arc length [tex]A_L=\frac{\theta}{360\textdegree}2\pi r[/tex]

=> [tex]A_L=\frac{60}{360} \times2\times3.14\times3[/tex]

=> [tex]A_L=\frac{1}{6}\times2\times3.14\times3[/tex]

=> [tex]A_L[/tex] = 3.14 m.

Hence the arc length is D) 3.14 meters.

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(a) The probability that both missiles will hit the target is 1/10.

(b) The probability that at least one missile will hit the target is 11/20.

To find the probability that both missiles will hit, we multiply the individual probabilities of each missile hitting

P(both missiles hit) = P(first missile hits) × P(second missile hits)

P(both missiles hit) = (1/4) × (2/5)

P(both missiles hit) = 2/20

P(both missiles hit) = 1/10

So the probability that both missiles will hit the target is 1/10.

(b) To find the probability that at least one missile will hit, we need to find the probability that both missiles miss and then subtract that from 1 (since the probability of either missile hitting is the complement of both missiles missing)

P(at least one missile hits) = 1 - P(both missiles miss)

P(at least one missile hits) = 1 - P(first missile misses) × P(second missile misses)

P(at least one missile hits) = 1 - (3/4) × (3/5)

P(at least one missile hits) = 1 - 9/20

P(at least one missile hits) = 11/20

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Answer:

I already did this go check the answers on the other one

Step-by-step explanation:

The surface area of the pyramid is approximately 721.04 square feet.

Area is a measure of the size of a two-dimensional region or surface, such as a rectangle, triangle, circle, or any other shape. It is the amount of space inside the boundaries of a closed figure, expressed in square units. The unit of measurement used for area depends on the context and the system of measurement being used, but some common units include square meters, square centimeters, square feet, and square inches.

To calculate the area of a regular shape, such as a square or rectangle, you can multiply the length of the base by the height or width of the shape. For more complex shapes, such as triangles or circles, different formulas can be used depending on the properties of the shape. Area is an important concept in geometry, as well as in many other areas of mathematics, science, engineering, and everyday life.

To find the surface area of the pyramid, we need to find the area of each face and add them up.

Since the base of the pyramid is a square, and the length of each side is 13 ft, the area of the base is:

Area of base = (13 ft) x (13 ft) = 169 sq ft

To find the area of each triangular face, we first need to find the slant height of the pyramid. The slant height is the distance from the apex of the pyramid to the midpoint of one of the sides of the base. We can use the Pythagorean theorem to find the slant height:

Slant height = √( (1/2 x 13 ft)² + 18 ft² )

= √( 169 ft² + 324 ft² )

= √493

≈ 22.18 ft

Now we can find the area of each triangular face using the formula:

Area of triangle = (1/2) x base x height

where the base is one of the sides of the square base, and the height is the slant height we just found. Therefore, the area of each triangular face is:

Area of triangle = (1/2) x 13 ft x 22.18 ft

≈ 143.01 sq f

Since there are four triangular faces, the total surface area of the pyramid is:

Total surface area = 4 x Area of triangle + Area of base

= 4 x 143.01 sq ft + 169 sq ft

≈ 721.04 sq ft

Therefore, the surface area of the pyramid is approximately 721.04 square feet.

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Answer:

6 fewer pizzas

Step-by-step explanation:

The small cafe offers 6 fewer types of pizza than a restaurant. The restaurant offers 18 different types of pizzas and the cafe offers 1/3 as many types of pizzas which means what we have to find 1/3 of 18.

1/3 of 18 is 6 because 6*3 is 18

18 - 6 = 12 which is the number of pizzas the cafe offers but this is slightly irrelevant to the question because the question is asking how many FEWER pizzas the cafe sells than the restaurant

So, the small cafe offers 6 FEWER pizzas than the restaurant.

Hope this helps!

we do not have convincing statistical evidence that women pay more than men for the same transmission repair

To determine whether the data provide convincing statistical evidence that women pay more than men we do not have convincing statistical evidence that women pay more than men for the same transmission repair for the same transmission repair, we can perform a hypothesis test.

Null hypothesis: The mean repair cost for women is the same as the mean repair cost for men.

Alternative hypothesis: The mean repair cost for women is greater than the mean repair cost for men.

We can use a two-sample t-test for the difference in means, assuming equal variances.

The test statistic is given by:

t = (xbar1 - xbar2) / (s_p * sqrt(1/n1 + 1/n2))

where xbar1 and xbar2 are the sample means, s_p is the pooled standard deviation, and n1 and n2 are the sample sizes.

The degrees of freedom is given by:

df = n1 + n2 - 2

Using the data given, we have:

xbar = 2542.86, xbar2 = 2469.29

s1 = 691.27, s2 = 599.77

n1 = n2 = 7

First, we can calculate the pooled standard deviation:

s_p = sqrt(((n1-1)*s1^2 + (n2-1)*s2^2) / (n1 + n2 - 2))

s_p = sqrt(((6)*691.27^2 + (6)*599.77^2) / (7 + 7 - 2))

s_p = 644.47

Then, we can calculate the t-statistic:

t = (xbar 1 1 - xbar2) / (s_p * sqrt(1/n1 + 1/n2))

t = (2542.86 - 2469.29) / (644.47 * sqrt(1/7 + 1/7))

t = 0.97

Using a t-distribution table with df = 12 and a significance level of 0.05, the critical value for a one-tailed test is 1.7823. Since our t-statistic is less than the critical value, we fail to reject the null hypothesis.

Therefore, we do not have convincing statistical evidence that women pay more than men for the same transmission repair

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Answer: B

Step-by-step explanation:

Answer:

The answer is B) -35.16 grams per half-life cycle

The total surface area of a gift box is  42.06 square feet

We know that the formula for the surface area of rectangular prism is:

A = 2(lw + wh + lh)

where l is the length

w is the width

and h is the height

The box shaped like a rectangular prism is 3.2 feet long and 2.1 feet wide and 2.7 feet high.

⇒ l = 3.2 ft,

w = 2.1 ft

and h = 2.7 ft

Using above formula the total surface area of the box would be,

A = 2(lw + wh + lh)

A = 2 × [(3.2 × 2.1) + (2.1 × 2.7) + (3.2 × 2.7)]

A = 2 × 21.03

A = 42.06 square feet

Therefore, the required area is  42.06 square feet

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The probability of drawing two hearts without replacement is 0.0588. The probability of drawing an ace followed by a king without replacement is 0.006.

Probability is a way to gauge how likely or unlikely something is to happen. Usually, it is stated as a number between 0 and 1, where 0 denotes that an event is impossible and 1 denotes that it is certain to happen.

6) To find the probability of drawing two hearts without replacement, we can use the formula:

P(two hearts) = (number of ways to choose 2 hearts) / (number of ways to choose 2 cards from a deck)

As there are 13 hearts in a standard deck of 52 cards, the number of ways to choose 2 hearts is given by the combination:

13 choose 2 = 13! / (2! * (13-2)!) = 78

The number of ways to choose 2 cards from a deck of 52 cards is:

52 choose 2 = 52! / (2! * (52-2)!) = 1326

Therefore, the probability of drawing two hearts without replacement is:

P(two hearts) = 78 / 1326 ≈ 0.0588 (rounded to four decimal places)

7) To find the probability of drawing an ace followed by a king without replacement, we can use the formula:

P(ace, then king) = P(ace) * P(king|ace not drawn)

The probability of drawing an ace is given by:

P(ace) = 4/52 = 1/13

After drawing an ace from the deck, there are 51 cards remaining, of which 4 are kings. Therefore, the probability of drawing a king given that an ace has not been drawn is:

P(king|ace not drawn) = 4/51

Hence, the probability of drawing an ace followed by a king without replacement is:

P(ace, then king) = (1/13) * (4/51) ≈ 0.006 (rounded to three decimal places).

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The equation models the cost of making different numbers of shirts, where y is the cost in dollars and x is the number of shirts produced is y = 7.5x - 750

To create an equation that models the cost of making different numbers of shirts, we need to determine the relationship between the number of shirts produced and the cost. One way to do this is to use the two-point form of the equation of a line, which is:

y - y₁ = (y₂ - y₁)/(x₂ - x₁) * (x - x₁)

where (x₁, y₁) and (x₂, y₂) are two points on the line.

Using the points (100, 600) and (250, 1387.50), we can find the slope of the line:

slope = (y₂ - y₁)/(x₂ - x₁) = (1387.50 - 600)/(250 - 100) = 7.5

Then, we can use the point-slope form of the equation of a line to write the equation:

y - y₁ = m(x - x₁)

where m is the slope and (x1, y1) is a point on the line. Using the point (100, 600), we get:

y - 600 = 7.5(x - 100)

Simplifying, we get:

y = 7.5x - 750

This equation models the cost of making different numbers of shirts, where y is the cost in dollars and x is the number of shirts produced.

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Answer:

f(x) C= x+50 x=17.50$/h

Step-by-step explanation:

I might not be sure about it, but it might be a function that is f(x) C= x + 50 dollars

x=17.50 dollars /hour

so that means if it is 1 hour, then 17.50$ +50$ which is 67.50$, if it's 2 hours then 17.50$/h = n$/2h so n=17.50$ *2 = 35$ + 50$ = 85$

Answer:f(4)=g(4)

Step-by-step explanation:We see that when x= 4, we see that f(4) intersects g(4)

The result of rotating the point [-5, 2] by 90 degrees counterclockwise is the point [2, -5].

Rotation is a transformation in geometry that involves turning or spinning an object around a fixed point called the center of rotation. The center of rotation remains stationary while all the points of the object move along circular paths, at the same angle and distance from the center.

To rotate a point [x/y] counterclockwise by 90 degrees, we can use a 2x2 matrix of the form:

[ 0 -1 ]

[ 1 0 ]

To multiply this matrix by a point [x/y], we can use the following matrix multiplication:

[ 0 -1 ] [ x ] [ -y ]

[ 1 0 ] [ y ] = [ x ]

So, if we have a point [x/y] and we want to rotate it 90 degrees counterclockwise, we can multiply it by the matrix [ 0 -1 ; 1 0 ] to get the new point [-y/x].

To rotate a point 90 degrees counterclockwise using a matrix, we need to represent the point as a column matrix and then multiply it by the 2x2 rotation matrix.

Assuming that the point is [x, y] = [-5, 2], we can represent it as a column matrix:

| -5 |

| 2 |

To rotate the point counterclockwise by 90 degrees, we can use the following 2x2 rotation matrix:

| 0 -1 |

| 1 0 |

Multiplying the rotation matrix by the column matrix representing the point gives:

| 0 -1 | | -5 | | 2 |

| 1 0 | ×| 2 | = | -5 |

So the result of rotating the point [-5, 2] by 90 degrees counterclockwise is the point [2, -5].

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The general solution to the differential equation is y = -1/(3x³ + C)

Where C is an arbitrary constant.

The concept used to solve this differential equation is the separation of variables. Separated the variables on either side of the equation and then integrated both sides to get the general solution with a constant of integration.

Note that, the solution is valid only for y ≠ 0 as the differential equation is undefined for y = 0.

Here we have  

dy/dx = 9x²y²

Solve the differential equation using the separation of variables.

=> dy/dx = 9x² y²

Let's separate the variables by dividing both sides by y² and dx:

=> 1/(y²) dy = 9x² dx

Now we can integrate both sides:

=> ∫1/(y²) dy = ∫9x² dx

Using the power rule of integration, we get:

=> -1/y = 3x³ + C

Where C is the constant of integration.

To solve for y, we can multiply both sides by -1:

=> y = -1/(3x³ + C)

Therefore,

The general solution to the differential equation is y = -1/(3x³ + C)

Where C is an arbitrary constant.

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Answer:

4(6) + 4(5) + 4(4) = 24 + 20 + 16 = 60 ft^2

Answer:

x = 63° and y =153°

Step-by-step explanation:

a streght line measure 180° so in the given we sum up

90° + x + 27°=180° then solve x

and for y u will sum up 90° and x then u will get by vertical opposite angle

Answer:

1,760m

Step-by-step explanation:

The side of the smaller triangle is multiplied by 4, which got 44 in the bigger triangle. So you would multiply the base of the smaller by 4 as well, resulting in 80. Now you need to multiply the base and the side of the triangle, and divide that answer by half.

FORMULA FOR A TRIANGLE:

A= 1/2( L x W )

A= 1/2 (44 x 80)

A= 1/2 (3520)

A= 1760

Therefore, the area of the shaded triangle is 1,760m.

SORRY IF THIS DID NOT MAKE SENSE!

Nathan needs 24 cups of water to make his lemonade recipe.

Let's call the amount of lemon juice Nathan uses "x".

We know that Nathan uses 3 cups of lemon juice, so we can substitute x = 3 into the problem.

According to the recipe, the amount of sugar Nathan needs is twice the amount of lemon juice, so he needs 2x cups of sugar.

Substituting x = 3, we get that Nathan needs 2(3) = 6 cups of sugar.

The amount of water Nathan needs is four times the amount of sugar he needs, so he needs 4 times 6 cups of water, which is equal to 24 cups of water.

Therefore, Nathan needs 24 cups of water to make his lemonade recipe.

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Step-by-step explanation:

The option that has the better value is the loose sweets.

What is division?

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

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Which pack has the better value?

Price per gram for the bag = £1.49 / 120 = £0.0124

Price per gram for the loose sweets = £0.89 / 100 = £0.0089

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The angle measure of the arc bounding the sector with area 8π square inches is 45 degrees.

The area of the sector is given by the formula:

[tex]A = (1/2) r^2[/tex]θ

where A is the sector's area,  is the sector's central angle in radians, and r is the circle's radius.

The radius of the circle is 8 inches, and the area of the sector is 8 square inches. When these values are added to the formula, we get:

8π = [tex](1/2) (8^2)[/tex] θ

Simplifying, we get:

8π = 32θ

Dividing both sides by 32, we get:

θ = π/4 radians

To convert this to degrees, we multiply by 180/π:

θ = (π/4) × (180/π) = 45 degrees

As a result, the angle of the arc that divides the 8-square-inch sector is 45 degrees..

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Answer:$8.99

Step-by-step explanation:

Thus, the amount of simple interest accumulated on the given principal of $3500 after 5 years is $1312.50.

Simple interest (SI) is calculated as a percentage added to the principle amount deposited or borrowed for a given period of time. SI is typically expressed as years.

Given data:

Simple interest formula:

SI = PRT / 100

SI = 3500*7.5*5 / 100

SI = 1312.5

Now,

Amount = principal + simple interest

Amount = 3500 + 1312.5

Amount = $4812.50

Thus, the amount of simple interest accumulated on the given principal of $3500 after 5 years is $1312.50.

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Answer: its b

Step-by-step explanation: all coins have a heads and tails so that takes out c.

d is just for jokes

a.  a coin in a school problem is not gonna be wieghted.

Answer:

Step-by-step explanation:

The mean of the distribution with a median of 8 could also be: Option B: 8

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is defined as the middle value when a data set is ordered from least to greatest.

The mode is defined as the number that occurs most often in a data set.

Now, one good relationship between the 3 measures is given as:

3(median) = mode +2(mean)

Thus, if our median is 8, then it is very possible that our means could also be 8

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The probability of drawing two red balls in a row from one of the two boxes, given that the first ball drawn is red, is 1/7.

The first step in solving this problem is to determine the probability of selecting the red box versus the other box. Since we have two boxes and each one has an equal chance of being selected, the probability of selecting the red box is 1/2.

Now we can put all of these probabilities together to determine the overall probability of drawing two red balls in a row from one of the two boxes.

We know that the probability of selecting the red box is 1/2, the probability of drawing a red ball on the first try is 4/7, and the probability of drawing a red ball on the second try, given that we've already drawn one red ball, is 1/2.

To find the overall probability, we simply multiply these three probabilities together:

(1/2) x (4/7) x (1/2) = 1/7

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The probability that the second ball will be red, given that the first ball is red, is 3/7.

To find the probability that the second ball will also be red given that the first ball is red, we need to consider two cases.

Case 1: Selecting a box with 4 red balls and 3 purple balls.

Case 2: Selecting a box with 4 green balls and 3 red balls.

Now, we calculate the overall probability by adding the probabilities of the two cases: (4/7) * (3/6) + (3/7) * (2/6) = 12/42 + 6/42 = 18/42 = 3/7.

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Person C would rate the highest on their eligibility for a home loan.

A down payment is a payment made upfront by a buyer when purchasing a big-ticket item, such as a house or a car.

It is typically a percentage of the total purchase price, and the remaining balance is financed through a loan.

We have,

Debt-to-income ratio for each person:

Person A:

Down payment = $14,250, Debt-to-income ratio = ($310 / $3,833) x 100% = 8.08%

Person B:

Down payment = $16,050. Debt-to-income ratio = ($198 / $4,416) x 100% = 4.49%

Person C:

Down payment = $18,000. Debt-to-income ratio = ($265 / $4,833) x 100% = 5.49%

Person D:

Down payment = $19,200. Debt-to-income ratio = ($400 / $5,000) x 100% = 8.00%

Now,

Based on these calculations, Person C has the highest down payment and the lowest debt-to-income ratio, making them the most eligible for a home loan.

Therefore,

Person C would rate the highest on their eligibility for a home loan.

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