Which of the following circles have their centers on the x-axis?
Check all that apply.
A. (x-4)2 + (y-0)² = 22
B. (x-0)2 + (v-0)² = 25
C. (x + 1)² + (y-7)² = 16
D. (x-0)2 + (v-5)2 = 49

The maximum profit is $2492.08.

What is the selling price?

The cost a consumer pays to purchase a good or a commodity is known as the selling price. It is a price that is higher than the cost price and includes a profit margin. The cost of an item when acquired is referred to as its selling price (S.P.).

Here, we have

Given: A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation.

y = -3x² + 239x - 2268

At a maximum profit, dy/dx = 0, hence:

dy/dx = -6x + 239

0 = -6x + 239

x = 239/6

x = 39.8

The maximum profit is gotten when the selling price of each widget is 39.8. Hence:

y = -3(39.8)² + 239(39.8) - 2268

y = 2492.08

Hence,  the maximum profit is $2492.08.

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3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

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Answer:

2. ) {25}^{2x} - 1 = {125}^{3x} + 4

=> {25}^{2x} = {125}^{3x} + 4 +1

=> {(5)^(2)}^{2x} = {(5)^(3)}^{3x} + {5}^{1}

=> {5}^{4x} = {5}^{9x} + {5}^{1}

=> 4x = 9x + 1

=> 4x - 9x = 1

=> - 5x = 1

=> x = 1/-5

The expected value for the probability distribution in the table is given as follows:

E(X) = 4.09.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Hence the expected value for the distribution in the table is given as follows:

E(X) = 0 x 0 + 1 x 0.19 + 2 x 0.06 + 3 x 0.24 + 4 x 0.14 + 5 x 0.12 + 6 x 0.02 + 7 x 0.06 + 8 x 0.17

E(X) = 4.09.

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Therefore , the solution of the given problem of fraction comes out to be 3/4 cups of yoghurt to the blender.

Any configuration of identically sized parts can be combined to represent the total. In Standard English, quantity is defined as "a portion" within a specific measurement. 8, 3/4. Wholes also include fractions. These serve as the divisor of the ratio, which in mathematical terms would be a pair of numbers. Here are a few illustrations of how to convert simple halves into whole numbers.

Here,

A visual fraction model can be used to illustrate the various fractions in a cup of yoghurt that you want to add in portions to a blender.

For instance, you may divide the cup into four equal parts and use one of those parts to represent 1/4 cup of yoghurt in the blender.

You can divide the cup into two equal parts and display two of those parts to symbolise the addition of 1/2 cup of yoghurt.

You would have added

=> 1/4 + 1/2 = 3/4 cups of yoghurt to the blender.

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Answer:

63n + 54

Step-by-step explanation:

9(6+7n)

First you have to multiply 6 and 9 which gives you 54. Then you’ll have to multiply 7n and 9 which equals to 63n. Whenever you see expressions like that, make sure to multiply both numbers inside the parentheses by what’s outside the parentheses. (Well, that method is mainly done like that if there’s one number outside the parentheses—like the expression you’ve provided.)

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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The work that gravity does;

W = F.S = mgΔh

In light of the fact that gravity points downward and that displacement is also downward, their angle is 0 and their cosine 1, respectively.

W = mgΔh

g = 9.8 m/s²

Δh  = 4.6 m

m = 0.60 kg

W = 0.60 x 9.80 x 4.6

W = 2.7 J

The source of gravitational potential energy in relation to the ground is;

U = mgh

The release point therefore

Ug = mgh(0)

U0 = 0.60 x 9.8 x 6.1

U0 = 35.87 J

At the point of release

U(gf) = mgh(f)

U(gf) = 0.60 x 9.80 x 1.5

U(gf) = 8.820 J

Gravitational potential energy changes are;

ΔU(g) = U(gf) - U0

ΔU(g) =  8.820 J - 35.87 J

ΔU(g) = -27.05 J

Result, we can see that the work done through gravity is the opposite of how the gravitational potential energy has changed.

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Answer:

2/6= 1/3

Step-by-step explanation:

Answer:

p=0.4

Answer and Explanation:

Probability of drawing a green marble is p=0.4.

9514 1404 393

Answer:

  a) 40°

  b) 70°

  c) 35°

  d) 105°

Step-by-step explanation:

a) x is half the given angle, so is ∠BAC/2 = 80°/2.

  x = 40°

__

b) ∠ABC has a value that makes the angles in the triangle have a sum of 180°.

  ∠ABC +∠BAC +30° = 180°

  ∠ABC = 180° -30° -80°

  ∠ABC = 70°

__

c) y is half the measure of ∠ABC, so is 70°/2.

  y = 35°

__

d) z has a value that makes the angles in its triangle have a sum of 180°.

  x + y + z = 180

  z = 180 -x -y = 180 -40 -35

  z = 105°

There are 36 cards in the deck of cards that are either black or even number .

A deck of cards consists of 52 cards equally divided into 4 suits: clubs , hearts , spades and diamond.

Now even numbers are numbers that can be divided by 2 completely .

So according to the given statement:

number of black cards = 13 spades + 13 clubs = 26 cards

even number cards ={2 ,4 ,6 , 8,10} = 5 cards in each suit

Therefore in the hearts and diamonds there are 5 × 2 =10 cards.

Therefore the total number of cards that are black or even is :

26 + 10 = 36

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Answer: To find the distance of a chord from the center of a circle, we need to use the following formula:

Distance from center = sqrt(r^2 - (c/2)^2)

Where r is the radius of the circle and c is the length of the chord.

In this case, the radius of the circle is 3.7cm and the length of the chord is 7cm.

So, substituting these values in the formula, we get:

Distance from center = sqrt(3.7^2 - (7/2)^2)

= sqrt(13.69 - 12.25)

= sqrt(1.44)

= 1.2 cm

Therefore, the distance of the chord from the center of the circle is 1.2 cm.

Step-by-step explanation:

Answer:

\(\%Rate = 0.0142\%\)

Step-by-step explanation:

Given

\(Population = 183000\)

\(New\ Cases = 26\)

\(Active\ Cases = 264\)

Required

The incidence rate

This is calculated as:

\(\%Rate = \frac{New\ Cases}{Population} * 100\%\)

\(\%Rate = \frac{26}{183000} * 100\%\)

\(\%Rate = 0.0001420765 * 100\%\)

\(\%Rate = 0.01420765\%\)

\(\%Rate = 0.0142\%\) --- approximated

Hence, the incidence rate is 0.0142%

Answer:

\(\frac{-4}{3}\)

Step-by-step explanation:

a rational number is expressed as

\(\frac{a}{b}\) where a and b are integers , then

- 1 \(\frac{1}{3}\) = \(\frac{-4}{3}\)

Answer:

slope  1/7

y intercept: (0, -67)

slope intercept form: y=1/7x - 61/7

Step-by-step explanation:

point slope form is

y+9=1/7 *(x+2)

Answer:

250

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

The question tells us there is a rolling die with 6 faces.

This means that the probability of getting any number after rolling the die is equal for all values of die.

i.e.

The number of cards in the deck is: 5 red + 7 blue + 8 yellow = 20 cards altogether.

Thus, if we pick a blue card from this deck of 20 cards, the probability is:

Therefore, if these two events - rolling a die and picking a blue card - occur at the same time, then we use the AND probability to solve.

This is done below:

The conical base of the silo provides stability and structural integrity, enabling the company to offer reliable storage solutions for grains. It optimizes space utilization and supports easy handling and retrieval of stored grains.

The silo manufactured by the company features a conical base, as depicted in the drawing. The given dimensions are as follows: the height is 8.5 feet, the length measures 4 feet, and the width is 13 feet.

The height of 8.5 feet refers to the vertical distance from the base of the silo to the top of the conical base. It represents the overall height of the silo structure.

The length of 4 feet represents the measurement from one side of the conical base to the other. This dimension determines the diameter of the circular base of the silo.

The width of 13 feet signifies the measurement from the front to the back of the conical base. It determines the circumference of the circular base of the silo.

With these dimensions, the silo exhibits a conical shape, where the circular base gradually tapers towards the top. This design is well-suited for storing grains, as it allows for efficient distribution of pressure and facilitates the flow of grains during loading and unloading processes.

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Answer: 1. is b

2. is c

3. is c

4. is B

5, is A i think but im not sure about 5

Step-by-step explanation:

Answer:

0.25 and 25%

Step-by-step explanation:

25% is the same as 1/4

0.25 is the same as 1/4

Answer:

1/4 = 0.25

1/4 = 25%

1/4 or 1 divided by 4 equals 0.25 (decimal) and 25% (percentage).

Answer: step by step

Step-by-step explanation:

not totally sure what you're asking but in this equation p=2

The boxplots, domestic cars typically have a lower annual cost of maintenance than foreign cars once they reach 100,000 miles. The median annual maintenance cost for domestic cars is around \($1,200\), while the median annual maintenance cost for foreign cars is around \($1,600.\)

This suggests that, on average, domestic cars may be less expensive to maintain than foreign cars.

In terms of variability, it appears that there is more variability in maintenance cost among foreign car costs. The boxplot for foreign cars shows a wider range of annual maintenance costs, with some outliers indicating very high maintenance costs.

The boxplot for domestic cars, on the other hand, shows a tighter range of annual maintenance costs with fewer outliers. This suggests that foreign cars may have a higher likelihood of experiencing expensive maintenance costs, while domestic cars may be more consistent in their maintenance costs.

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Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.

The mean of the population is a measure of the central tendency of the population. It is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population would be calculated by adding the values of the sample (13, 15, 14, 16, 12) and dividing by the total number of values (5). The mean of the population is then 14 (13 + 15 + 14 + 16 + 12 / 5 = 14).

To calculate the mean of the population, we first need to calculate the sum of all the values in the population. This is done by adding the values of the sample together (13 + 15 + 14 + 16 + 12 = 70). We then divide the sum of the values by the total number of values in the population (70 / 5 = 14). This gives us the mean of the population, which is 14.

The mean of the population is a measure of the central tendency of the population, and it is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population was 14, which is the point estimate of the population mean that was determined from the simple random sample.

The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.

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Answer:

i think it's 40 I don't know.

Step-by-step explanation:

(:

Answer:

A) 3.94

B) 12.40

Step-by-step explanation:

Refer to the work image. You also need the radius to calculate A and B.