An extra large pizza recipe uses 6 ounces of cheese, 12 ounces of sauce, and 36 ounces of dough. In simplest form, how many ounces of dough are there for every ounce of cheese? I will give crown. 50 points

To calculate the probability of selecting a boy or a red-haired person as a homeroom representative to student council, we need to find the probability of each event and then use the formula P(A or B) = P(A) + P(B) - P(A and B).

There are 31 students in total (16 girls + 15 boys). The probability of selecting a boy is 15/31.

There are 5 red-haired students (3 girls + 2 boys). The probability of selecting a red-haired person is 5/31.

However, we need to account for the overlap between boys and red-haired students. There are 2 red-haired boys, so the probability of selecting a red-haired boy is 2/31.

Now we can use the formula: P(boy or red-haired) = P(boy) + P(red-haired) - P(boy and red-haired) = (15/31) + (5/31) - (2/31) = 18/31.

So, the probability of selecting a boy or a red-haired person as a homeroom representative to student council is 18/31.

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Answer:

316 or -316.

Step-by-step explanation:

x^3 - y^3 = (x - y)(x^2 + xy + y^2)

               = 4(x^2 + y^2 + 21)

x - y = 4

xy = 21

Substitute x = 4 + y in the last equation

(4 + y) y = 21

y^2 + 4y - 21 = 0

(y + 7)(y - 3) = 0

y = 3, -7.

So, x = 7, - 3.

So,  x and y are 7 and 3 or -7 and -3.

But x^2 + y^2 = 9 + 49 = 58 whichever is true,

So, x^3 - y^3

= 4(x^2 + y^2 + 21)

= 4 (58 + 21)

= 316,

If x = -3 and y = -7 , then the answer is

-316.

Let, number of tickets required so that total cost is same is x.

Cost at carnival T :

T = 0.50x + 7.00         ....1)

Cost at carnival Q :

Q = 0.25x + 12.00       ....2)

For same cost , T = Q :

0.50x + 7 = 0.25x + 12

0.25x = 5

x = 20

Therefore, for same cost at both the carnival 20 tickets should be purchased.

Hence, this is the required solution.

Answer:

9

Step-by-step explanation:

If the ramp had a slope of 1, the answer would be 6. However, because it has a slope of 2/3, the ramp travels 3/2 times the amount it would if the slope was 1, and moreover so would the ball. Therefore, by multiplying 2/3 by 3/2, the ball traveled 9 feet. I hope this helps! I would call this subject general geometry.

Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

Answer:

x=11

Step-by-step explanation:

To Solve this equation, you need to understand the rules of complementary angles. In this case, XWY and YWZ make up XWZ. In this case, we would add them

5x+5+2x+8=90

7x+13=90

7x=77

x=11

Answer:

y=5x-1/3

Step-by-step explanation:

form is y=mx+b

m is slope

b is y-intercept

The value of the surface integral ∫∫s (∇ × F) · ds over the given surface S is (16/3)π.

To evaluate the given surface integral, we need to calculate the curl of the vector field F and then integrate it over the surface S.

First, we find the curl of F:

∇ × F =

| i j k |

| ∂/∂x ∂/∂y ∂/∂z |

| x y z |

( x(y-1) - y(x-1) ) i + ( y(z-1) - z(y-1) ) j + ( z(x-1) - x(z-1) ) k

Now, we need to evaluate the surface integral using the divergence theorem:

∫∫s (∇ × F) · ds = ∫∫∫v ∇ · (∇ × F) dV

where V is the volume enclosed by the surface S.

Using the divergence theorem, we can rewrite the integral as:

∫∫s (∇ × F) · ds = ∫∫∫v (∂/∂x(x(y-1) - y(x-1)) + ∂/∂y(y(z-1) - z(y-1)) + ∂/∂z(z(x-1) - x(z-1))) dV

Now, we can evaluate the triple integral by changing to spherical coordinates:

∫∫s (∇ × F) · ds = ∫θ=0^π/2 ∫φ=0^2π ∫r=0^2 [(r^2 sinθ cosφ(cosφ + sinφ) + r^2 sinθ sinφ(sinφ - cosφ) + r^2 cosθ(cosθ - 1))] r^2 sinθ dr dφ dθ

Evaluating this integral, we get:

∫∫s (∇ × F) · ds = (16/3)π

Therefore, the value of the surface integral ∫∫s (∇ × F) · ds over the given surface S is (16/3)π.

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The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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The probability that the policyholder is a home renter, given that a renter still has a policy one year after purchase, is approximately 0.260 or 26.0%.

Let H denote the event that the policyholder is a home renter, and A denote the event that the policyholder is an apartment renter. We are given that P(H) = 0.4 and P(A) = 0.6.

Let T denote the time from policy purchase until policy cancellation. We are also given that T | H ~ Exp(1/4), and T | A ~ Exp(1/2).

We want to calculate P(H | T > 1), the probability that the policyholder is a home renter, given that a renter still has a policy one year after purchase:

P(H | T > 1) = P(H and T > 1) / P(T > 1)

Using Bayes' theorem and the law of total probability, we have:

P(H | T > 1) = P(T > 1 | H) * P(H) / [P(T > 1 | H) * P(H) + P(T > 1 | A) * P(A)]

To find the probabilities in the numerator and denominator, we use the cumulative distribution function (CDF) of the exponential distribution:

P(T > 1 | H) = e^(-1/4 * 1) = e^(-1/4)

P(T > 1 | A) = e^(-1/2 * 1) = e^(-1/2)

P(T > 1) = P(T > 1 | H) * P(H) + P(T > 1 | A) * P(A)

= e^(-1/4) * 0.4 + e^(-1/2) * 0.6

Putting it all together, we get:

P(H | T > 1) = e^(-1/4) * 0.4 / [e^(-1/4) * 0.4 + e^(-1/2) * 0.6]

≈ 0.260

Therefore, the probability that the policyholder is a home renter, given that a renter still has a policy one year after purchase, is approximately 0.260 or 26.0%.

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The volume of cube with a side length of 5 meters is 125 cubic meters, while volume of cube with side length of 4 meters is 64 cubic meters. The difference between the volumes of two cubes is 61 cubic meters.

The volume of a cube is given by V = \(s^3\), where s is the side length of the cube. To find the difference between the volumes of two cubes, we can subtract the smaller volume from the larger volume.

So, the volume of the cube with side length 5 meters is V1 = \(5^3\) = 125 cubic meters, and the volume of the cube with side length 4 meters is V2 = \(4^3\) = 64 cubic meters.

The volume of a cube is given by \(s^3\), where s is the length of the side of the cube. The volume of a cube with a side length of 5 meters is \(5^3\) = 125 cubic meters, and the volume of a cube with a side length of 4 meters is \(4^3\) = 64 cubic meters.

The difference in volumes is V1 - V2 = 125 - 64 = 61 cubic meters. Therefore, the difference in volumes of the two cubes is 61 cubic meters.

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The points (z, y) where the solutions to the differential equation y' - y - 2r have a slope of zero are found to lie on the line y = C1, where C1 is a constant. This means that the solutions have zero slope at any point along this line.

Furthermore, it is verified that the function f(x) = 2x + 2 satisfies the initial value problem v = y - 2r, y(0) = -2. The equation is successfully substituted, and the solution f(x) = 2x + 2 satisfies the given initial condition.


To find the points (z, y) where the solutions to the differential equation y' - y - 2r have a slope of zero (s'(z) = 0), we can set the derivative of the solution equal to zero and solve for z.

Let's differentiate the equation y' - y - 2r = 0 with respect to z to find s'(z):

(d/dz) (y' - y - 2r) = (d/dz) (0)

y'' - y' = 0

Now, we have a new differential equation y'' - y' = 0. To solve this, we can assume y = e^(λz) and differentiate it twice:

y' = λe^(λz)

y'' = λ^2e^(λz)

Substituting these values into the differential equation, we get:

λ^2e^(λz) - λe^(λz) = 0

Factoring out e^(λz), we have:

e^(λz) (λ^2 - λ) = 0

For e^(λz) to be zero, λ must be zero. For the term (λ^2 - λ) to be zero, we have two possibilities:

λ^2 - λ = 0

λ(λ - 1) = 0

This gives us two solutions: λ = 0 and λ = 1.

Therefore, the general solution to the differential equation y'' - y' = 0 is:

y = C1e^(0z) + C2e^(1z) = C1 + C2e^z

To find the points (z, y) where the solutions have a slope of zero, we need to find the values of z for which dy/dz = 0. Taking the derivative of the general solution, we have:

dy/dz = C2e^z

Setting C2e^z = 0, we find that C2 = 0.

Thus, the solutions with zero slope are given by:

y = C1

In other words, the solutions lie on the line y = C1 for any constant C1.

b. To verify that f(x) = 2x + 2 is the solution to the initial value problem v = y - 2r, y(0) = -2, we substitute the values into the equation:

v = y - 2r

2x + 2 = -2 - 2r

Simplifying, we have:

2x + 2 + 2r = -2

Subtracting 2 from both sides, we get:

2x + 2r = -4

This equation is satisfied by any value of x and r. Therefore, f(x) = 2x + 2 is indeed a solution to the given initial value problem.

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Answer

Option 1 is correct.

The graph could easily be the graph of a linear function.

Explanation

The points (2, 5) and (8, 5) can be seen to lie on the same line of y = 5

So, we can conclude that the graph could be a simple linear function, or a curve that passes this point twice.

So, option A is the only correct option here.

Hope this Helps!!!

Answer:

so 1st, subtract 33 and 117 from 180

180-117-33= 30

then you subtract 30 from 180

180-30= 150

and your measurement of angle ACD is 150

Answer:

2x+12

Step-by-step explanation:

i hope this helps

The base graph is moved up or down in the y-axis direction when a graph is vertically translated.

A vertical translation results from the equation y = f(x-h) if y = f(x). When the value of h is positive or negative, respectively, the translation h shifts the graph to the left and the right. It's important to keep in mind that these translations don't always occur separately.

Shifting the base graph to the left or right in the x-axis direction is the same as translating a graph horizontally. Each point on a graph is translated by k units in the horizontal direction. By shifting f (x) k units horizontally, it is possible to sketch g(x) = f (x - k).

The base graph is moved up or down in the y-axis direction when a graph is vertically translated. Each point on a graph is moved k units up the graph to translate it vertically. Shifting the f (x) k units vertically will allow you to sketch the equation g (x) = f (x) + k.

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Answer

Step-by-step explanation:

Answer:

(-13/2,3)

Please give me brainliest if you can

Step-by-step explanation:

The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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Rounding to four decimal places, the rates of change of P at t = 1 and t = 10 are about 0.0274 and 0.0274, respectively.

The percent P of defective parts produced by a new employee t days after the employee starts work can be modeled by t + 1790 P = 50(t + 2).To find the rates of change of P at t = 1 and t = 10, we have to differentiate the given function with respect to t.

Therefore, t + 1790 P = 50(t + 2)P = (50t + 100 - t)/1790P = (49t + 100)/1790

Now, we will find the rates of change of P at t = 1 and t = 10: (i) At t = 1P = (49(1) + 100)/1790P = 0.065dP/dt = d/dt [(49t + 100)/1790]dP/dt = (49/1790) = 0.0274(ii) At t = 10P = (49(10) + 100)/1790P = 0.365dP/dt = d/dt [(49t + 100)/1790]dP/dt = (49/1790) = 0.0274.

Therefore, the rates of change of P at t = 1 and t = 10 are approximately 0.0274, rounded to four decimal places.

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Answer:

1449.28

Step-by-step explanation:

To find the principal amount that will amount to Rs. 2000 in 6 years 8 months at a 5% interest rate per annum, we can use the formula for compound interest:

A = P (1 + r/n)^(nt)

Where:

A = final amount

P = principal (the amount we are trying to find)

r = interest rate per annum (in decimal form)

n = number of times interest is compounded per year

t = time in years

So we can substitute these values into the formula and solve for P:

2000 = P (1 + 0.05)^(1 * 6.67)

2000 = P * 1.38

P = 2000/1.38

P = 1449.28

The principal amount that will amount to Rs. 2000 in 6 years 8 months at a rate of interest of 5% per annum is Rs. 1281.97.

The principal amount (P) that will amount to Rs. 2000 in 6 years 8 months at the rate of interest of 5% per annum can be calculated using the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = final amount

P = principal

r = rate of interest (5% per annum = 0.05)

n = number of times the interest is compounded per year (e.g. annually, semi-annually, quarterly)

t = time in years (6.67 years = 6 years 8 months)

Let's assume n = 12 (monthly compounding)

Substituting the values into the formula, we get:

2000 = P(1 + 0.05/12)^(12*6.67)

(To solve for P, we can divide both sides of the equation by the right side of the equation)

P = 2000 / (1 + 0.05/12)^(12*6.67)

P ≈ Rs. 1281.97

Therefore, the principal amount that will amount to Rs. 2000 in 6 years 8 months at a rate of interest of 5% per annum is Rs. 1281.97

It's important to note that this calculation is based on the assumption that the interest is compounded monthly, if the interest is compounded annually or semi-annually the amount will be different.

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Answer: 1/3

Step-by-step explanation: The line goes two points up and six points right. 2/6 simplified is 1/3

Answer:

slope = \(\frac{1}{3}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (3, 3) ← 2 points on the line

m = \(\frac{3-1}{3-(-3)}\) = \(\frac{2}{3+3}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\)

The required value of line segment is Length of BC + length of CD = 42 units.

In math, a line segment is limited by two particular focuses on a line. Or on the other hand we can say a line section is important for the line that interfaces two focuses. A line has no endpoints and broadens boundlessly in both the heading yet a line fragment has two fixed or clear endpoints.

Since C is the midpoint of line AD,

Then section AC = portion CD

Since B is the midpoint of BC,

Then the length of section Stomach muscle = Length of portion BC = 14 units

Length of AC = 2 × (14)

                     = 28 units

Length of AC = length of Album = 28 units

Length of fragment BD = Length of BC + length of CD

= 14 + 28

= 42 units

Thus, length of section BD is 42 units.

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Answer:

Step-by-step explanation:

Its 30%:) because red is 10% and yellow is 60% and there's only 10 marbles which represent 100% so there's 6 yellow marbles and 1 red marble buts that's only 7 so there's 30% left which is 3 marbles left, which has to be orange so the answer is 30%:) hope this helped

Give the answer above Brainly, they are 100% correct they did AMAZING!

:D

The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.

According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.

The area of the acute triangle can be calculated by the formula:

         area of acute triangle = (1/2) × b × h

         b = base, and

         h = height

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