Which one of these is a factor in this equation?

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

Learn more on area of a circle here;

https://brainly.com/question/15673093

#SPJ1

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

To know more about concave mirror Visit:

https://brainly.com/question/31379461

#SPJ11

Answer:

0.25

Step-by-step explanation:

Answer: 0.25

Step-by-step explanation: take 100 divide by 2 get 50 so divide by 2 get 25 make 25 a decimal and u get 0.25 ( hope this helps!)

The diameter rounded to the nearest tenth would be the final answer.

The diameter of the circle with an area of 94 square millimeters is approximately 10.9 millimeters.

To find the diameter of a circle with a given area, you can use the formula A = π\(r^2\), where A is the area of the circle and r is the radius. However, since the problem provides the area directly, we can skip finding the radius and go straight to the diameter.

Given that the area of the circle is 94 square millimeters, we can use the formula A = π\(r^2\) to solve for the radius:

94 = π\(r^2\)

To isolate r^2, divide both sides of the equation by π:

94/π =\(r^2\)

Next, take the square root of both sides to solve for r:

√(94/π) = r

Now that we have the radius, we can find the diameter by multiplying the radius by 2:

d = 2r

Substituting the value of r, we have:

d = 2 * √(94/π)

To get a decimal approximation, you can use a calculator to evaluate this expression. The diameter rounded to the nearest tenth would be the final answer.

2 * 5.45 = 10.9 millimeters

The diameter of the circle with an area of 94 square millimeters is approximately 10.9 millimeters.

Note: The actual numerical approximation would depend on the value of π used in the calculation.

Know more about diameter of a circle

https://brainly.com/question/22516483

#SPJ11

The diameter rounded to the nearest tenth would be the final answer.

The diameter of the circle with an area of 94 square millimeters is approximately 10.9 millimeters.

To find the diameter of a circle with a given area, you can use the formula A = π, where A is the area of the circle and r is the radius. However, since the problem provides the area directly, we can skip finding the radius and go straight to the diameter.

Given that the area of the circle is 94 square millimeters, we can use the formula A = π to solve for the radius:

94 = π

To isolate \(r^2\), divide both sides of the equation by π:

94/π =

Next, take the square root of both sides to solve for r:

\(√(94/π) = r\)

Now that we have the radius, we can find the diameter by multiplying the radius by 2:

d = 2r

Substituting the value of r, we have:

\(d = 2 * √(94/π)\)

To get a decimal approximation, you can use a calculator to evaluate this expression. The diameter rounded to the nearest tenth would be the final answer.

\(2 * 5.45 = 10.9 millimeters\)

The diameter of the circle with an area of 94 square millimeters is approximately 10.9 millimeters.

Note: The actual numerical approximation would depend on the value of π used in the calculation.

Know more about diameter of a circle

brainly.com/question/22516483

#SPJ11

Answer:

I got 5/16 as my answer

Step-by-step explanation:

I used a calculator to solve the equation :/

Answer:

\(4.2 / 0.35 =\frac{4.2}{0.35} *\frac{100}{100}= \frac{420}{35} = 420/35\)

Step-by-step explanation:

By multiplying both the numerator and the denominator of the fraction 4.2/0.35, the resulting equivalent fraction is 420/35.

Answer:

Step-by-step explanation:

The straight-line distance between Finn's home and his school is 5 blocks.

If Finn heads 3 blocks east and then 4 blocks south, we can draw a right triangle to represent the path he takes, with the two legs of the triangle being the distances he travels east and south, and the hypotenuse being the straight-line distance between his starting point (home) and his endpoint (school).

Using the Pythagorean theorem, we can find the length of the hypotenuse (AB) as follows:

AB² = 3² + 4²

AB² = 9 + 16

AB = 25

Taking the square root of both sides, we get:

AB = 5

Therefore, the straight-line distance between Finn's home and his school is 5 blocks.

Pythagoras' theorem is a fundamental concept in mathematics that relates to the relationship between the sides of a right triangle. It states that the square of the length of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the lengths of the other two sides.

In mathematical terms, the Pythagorean theorem can be written as:

c² = a² + b²

Where c is the length of the hypotenuse, and a and b are the lengths of the other two sides of the right triangle.

This theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery, although it is likely that it was known to the ancient Babylonians and Egyptians long before Pythagoras.

The Pythagorean theorem has many applications in mathematics and science, including in geometry, trigonometry, and physics, and it is used to solve a wide range of problems involving right triangles.

To know more about pythagoras theorem visit :

https://brainly.com/question/343682

#SPJ1

Answer:

32

Step-by-step explanation:

4 + 20 + 8 = 32

hope this helped!!

The value of probability that Alex randomly chooses a yellow shirt or a blue shirt is,

⇒ 0.53

Since,

The term probability refers to the likelihood of an event occurring. Probability means possibility.

It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Alex is trying to decide what to wear.

She has 5 purple shirts, 8 yellow shirts, 2 blue shirts, and 4 red shirts.

Hence, Total shirts = 19

So, probability that Alex randomly chooses a yellow shirt is,

= 8/19

= 0.42

And probability that Alex randomly chooses a yellow shirt is,

= 2/19

= 0.11

probability that she randomly chooses a yellow shirt or a blue shirt

= 0.42 +0.11

= 0.53

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

The probability of a random individual selected from the specified population experiencing an asthma attack on a particular day is 0.00151, which is roughly 0.15%.

The probability that a person has asthma is 5.6%, which means that the probability that a person does not have asthma is 1-0.056=0.944. The probability that an asthmatic has an asthma attack on a given day is 0.027. Therefore, the probability that a person has an asthma attack on that day can be calculated as follows:

P(asthma attack) = P(asthma) * P(asthma attack | asthma) + P(no asthma) * P(asthma attack | no asthma)

P(asthma attack) = 0.056 * 0.027 + 0.944 * 0 = 0.00151

Therefore, the probability that a person chosen at random from the given population will have an asthma attack on a given day is 0.00151, or approximately 0.15%.

Learn more about probability here: brainly.com/question/30034780

#SPJ4

Complete question:

The article "Integrating Risk Assessment and Life Cycle Assessment: A Case Study of Insulation" (Y.Nishioka,J.Levy, et all., Risk Analysis, 2002: 1003-1017) estimates that 5.6% of a certain population has asthma, and that an asthmatic has probability 0.027 of suffering an asthma attack on a given day. A person is chosen at random from this population. What is the probability that this person has an asthma attack on that day?

The estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.

To estimate the monthly average daily radiation on a horizontal surface H in June in Amman, we can use the following equation:

\([H = S \times H_s \times \frac{\sin(\phi)\sin(\delta)+\cos(\phi)\cos(\delta)\cos(H_a)}{\pi}]\)

where:

S is the solar constant, which is approximately equal to 1367 W/m(^2);

\(H(_s)\) is the average number of sunshine hours per day in Amman in June, which is given as 10 hours;

(\(\phi\)) is the latitude of the location, which for Amman is approximately 31.9 degrees North;

(\(\delta\)) is the solar declination angle, which is a function of the day of the year and can be calculated using various methods such as the one given in the answer to Q1;

\(H(_a)\) is the hour angle, which is the difference between the local solar time and solar noon, and can also be calculated using various methods such as the one given in the answer to Q1.

Substituting the given values, we get:

\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(\delta)+\cos(31.9)\cos(\delta)\cos(H_a)}{\pi}]\)

Since we are only interested in the monthly average daily radiation, we can assume an average value for the solar declination angle and the hour angle over the month of June. For simplicity, we can assume that the solar declination angle (\(\delta\)) is constant at the value it has on June 21, which is approximately 23.5 degrees North. We can also assume that the hour angle \(H(_a)\) varies linearly from -15 degrees at sunrise to +15 degrees at sunset, with an average value of 0 degrees over the day.

Substituting these values, we get:

\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(23.5)+\cos(31.9)\cos(23.5)\cos(0)}{\pi}]\)

Simplifying the equation, we get:

\([H \approx 7.35 \text{ kWh/m}^2\text{/day}]\)

Therefore, the estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.

Learn more about "average daily radiation " : https://brainly.com/question/32911494

#SPJ11

the height of the mailbag decreases as time increases, and the mailbag reaches the ground at t = 5.33 seconds.

The height of the mailbag after its release is given by the equation h = 3.05t3. At t = 2.35 seconds, the height of the mailbag is h = 3.05 * 2.35 * 2.35 = 39.58 meters. This means that the mailbag is still 39.58 meters above the ground. The equation for the height of the mailbag tells us that the height of the mailbag is decreasing at a rate of 9.15t2 meters per second. This means that the mailbag will take 39.58 / 9.15 = 4.33 seconds to reach the ground.

Therefore, the mailbag will reach the ground after 1 + 4.33 = 5.33 seconds

Here is a table of the height of the mailbag over time:

Time (seconds) | Height (meters)

------- | --------

2.35 | 39.58

2.36 | 35.43

2.37 | 31.28

... | ...

5.33 | 0

As you can see, the height of the mailbag decreases as time increases, and the mailbag reaches the ground at t = 5.33 seconds.

Learn more about decreasing  here:

https://brainly.com/question/32610704

#SPJ11

If you remove all of the jacks, queens, and kings from a 52-card deck, you will be left with a 40-card deck consisting only of aces and cards with ranks 2 through 10.

There are 40 choices for the first card in the hand, 39 choices for the second card (since one card has already been chosen), and 38 choices for the third card, for a total of 403938 = 60,480 unique three-card hands.

To calculate the cost of shortage (Cs), we need to find the area under the normal distribution curve to the left of the optimal service level. The cost of shortage is the difference between the selling price and the Monday price, multiplied by the probability of shortage.

To calculate the cost of excess (Ce), we find the area under the normal distribution curve to the right of the optimal service level. The cost of excess is the difference between the cost of making the cake and the selling price, multiplied by the probability of excess. The optimal service level is determined by minimizing the total cost, which is the sum of the cost of shortage and the cost of excess. We can find the corresponding z value for the optimal service level using the standard normal distribution table. Once we have the optimal service level (z value), we can find the corresponding demand value. Since demand is normally distributed, we can calculate the optimal number of birthday cakes to make for the weekend by subtracting the expected demand from the optimal service level demand. However, without specific information on the desired service level or target level of shortage/excess, it is not possible to provide numerical answers to the questions. The optimal service level, corresponding z value, and the optimal number of cakes will depend on the specific parameters and objectives of the supermarket bakery.

Learn more about the optimal service level here: brainly.com/question/31404923

#SPJ11

The given equation, 16x² - y² + 16z² = 4, represents a quadric surface known as an elliptic paraboloid.

To determine the classification, we can examine the coefficients of the squared terms. In this case, the coefficients of x², y², and z² are positive, indicating that the surface is bowl-shaped. Additionally, the signs of the coefficients are the same for x² and z², indicating that the bowl opens upward along the x and z directions.

The negative coefficient of y², on the other hand, means that the surface opens downward along the y direction. This creates a cross-section in the shape of an elliptical parabola.

Considering these characteristics, the given equation represents an elliptic paraboloid.

Learn more about quadric surface at  https://brainly.com/question/30256242

#SPJ11

Answer: D. 4x² + 3/2x - 7

Step-by-step explanation:

Answer:

y + 2 = 3/4 (x - 1)

Step-by-step explanation:

You would pick one of the points in this case I picked (1, -2), for point-slope form your equation is y - y1 = m(x-x1).

Finding the slope (m) is easy you just do rise (up/down) OVER run (left/right).

So in this case your slope (m) is 3/4.

then you just plug everything in but because two negatives equal a positive you equasion should look like this y + 2 = 3/4(x - 1)

The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.

Therefore, the p-value for study b exists 0.080.

The P value is the likelihood, for a particular statistical model, that the statistical summary would be either equal to or more extreme than the actual observed results if the null hypothesis were to hold.

In a two tailed test the probability of occurrence exists the total area beneath the critical range of values on both the sides of the curve (negative side and positive side)

Therefore, the probability values for a two tailed test as compared to a one tailed test exists given by the under given relation -

\($p-\text { value }=P\left(Z < -\frac{\alpha}{2}\right)+P\left(Z > \frac{\alpha}{2}\right)$$\)

simplifying the above equation, we get

\($P \frac{\alpha}{2}=0.040$\)

Substituting the given value in above equation, we get -

Probability values for a two tailed test

= 0.040 + 0.040

= 0.080

Therefore, the p-value for study b exists 0.080.

To learn more about p-value refer to:

https://brainly.com/question/4621112

#SPJ4

By using a system of equations of two variables we concluded that the first number was 6

Let the numbers be x and y and their sum gives z

The equation for the sum of 2 numbers:

                                             x + y = z    -(1)

We know, z = 30 and y = 4 times x = 4x

Putting values of y and z in equation (1), we get

                                             x + 4x = 30

Solving for x, we get

                                                  5x = 30

                                         x = 30/5 = 6

To get the value of y, put the value of x in y = 4x and we get

                                          y = 4 x 6 = 24

So the real equation was

                                              6 + 24 = 30

To learn more about equations of two variables here:

brainly.com/question/29209545

#SPJ4

he value of the expression cosB, sinB, sinA, tanB, tan A 4√15/17, 7/17, 4√15/17, 7/4√15 and 4√15/7

According to the trigonometry identity

tan Ф = opposite/adjacent

sin Ф = opposite/hypotenuse

cos Ф = adjacent/hypotenuse

From the given triangle;

AC = 7

AB = 17

BC = 4√15

Determine the following trigonometry given

cos B = BC/AB

cos B = 4√15/17

sinB = AC/AB

sin B = 7/17

sinA = cos B = 4√15/17

tan B = AC/BC

tan B = 7/4√15

tan A = BC/AC

tan A = 4√15/7

The value of the expression cosB, sinB, sinA, tanB, tan A 4√15/17, 7/17, 4√15/17, 7/4√15 and 4√15/7

Learn more on trigonometry identity here: https://brainly.com/question/20094605

#SPJ1

The experimental probability of selecting a green marble on the next attempt is 1/6 or approximately 0.1667 or 16.67%.

What is probability?

Probability is a measure of the likelihood of an event occurring.

The experimental probability of an event happening is calculated by dividing the number of times the event occurs by the total number of trials or attempts.

In this case, Diane has already selected 2 green marbles and 10 other marbles from the bag. So, the total number of marbles left in the bag is 12.

Since there are 2 green marbles left in the bag, the probability of selecting a green marble on the next attempt is:

2 (number of green marbles) / 12 (total number of marbles) = 1/6

So, the experimental probability of selecting a green marble on the next attempt is 1/6 or approximately 0.1667 or 16.67%.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

Answer:

$5820

Step-by-step explanation:

1500*6%=90 per month

90*(48months=4yrs)=4320

1500+4320=5820

The required volume of irregular figure is 300 cm³.

In mathematics, 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Now the given dimensions of the irregular figure are,

a = 2 cm

b = 4 cm

c = 6 cm

Thus, Volume of this part is given as

Volume = a*b*c

Putting the values we get,

Volume = 2*4*6 cm³

Solving we get,

Volume = 48 cm³

Now another dimensions of another part are,

d = 7 cm

e = 4 cm

f = 9 cm

Thus, Volume of this part is given as

Volume = d*e*f

Putting the values we get,

Volume = 7*4*9 cm³

Solving we get,

Volume = 252 cm³

Thus, Total Volume of the irregular figure = 48 cm³ +  252 cm³

⇒ Total Volume of the irregular figure = 300 cm³

this is the required volume of irregular figure.

Thus, the required volume of irregular figure is 300 cm³.

To learn more about volume :

https://brainly.com/question/23873673

#SPJ1

The vector component of v orthogonal to b is (3.8, -2.1, 0.4).

To find the vector component of y along b, we need to use the formula:

\(proj_b y = (y . b / ||b||^2) × b\)

where y . b represents the dot product of y and b, and ||b|| represents the magnitude of b.

First, we need to turn b into a unit vector by dividing it by its magnitude:

\(||b|| = sqrt(1^2 + 2^2 + (-2)^2) = sqrt(9) = 3\)

\(b_hat = (1/3, 2/3, -2/3)\)

Now, we can plug in the values and simplify:

y . b = (4 × 1) + (-1.7 × 2) + (0 × (-2)) = 0.6

\(||b||^2 = 9\)

\(proj_b y = (0.6 / 9) × (1/3, 2/3, -2/3) = (0.2, 0.4, -0.4)\)

Therefore, the vector component of y along b is (0.2, 0.4, -0.4).

To find the vector component of v orthogonal to b, we can use the formula:

\(v_perp = v - proj_b v\)

where proj_b v represents the projection of v onto b.

Since b is already a unit vector, we can simply find the dot product of v and b:

v . b = (4 × 1) + (-1.7 × 2) + (0 × (-2)) = 0.6

Then, we can use this value to find \(proj_b\) v:

\(proj_b v = (0.6) × (1/3, 2/3, -2/3) = (0.2, 0.4, -0.4)\)

Finally, we can subtract \(proj_b\) v from v to get\(v_perp\):

\(v_perp = y - proj_b y = (4, -1.7) - (0.2, 0.4, -0.4) = (3.8, -2.1, 0.4)\)

for such more question on vector component

https://brainly.com/question/25705666

#SPJ11

Answer:

9456.25?

Step-by-step explanation:

25% in taxes would be 3750+the depreciation and operating costs equals 12450. income was 15000, and they had an outstanding bond worth 6500 with 6.25% interest added onto it, so you get like 21906.25. then i just subtracted it. not sure if it is right, i took accounting 101 like a year or 2 ago, lol

Answer:

IT'S A !

Step-by-step explanation:

Took the quiz on edge 2022 .

the correct statement is:

"The lines are perpendicular to each other because the graph of y = -6 is a horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope."

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Find correct statement is true about the graphs of the two lines y=-6 and x = dx

Since, horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope.

Therefore, the correct statement is:

"The lines are perpendicular to each other because the graph of y = -6 is a horizontal line with a slope of 0, and the graph of x = dx is a vertical line with an undefined slope."

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ7