A pizzeria makes pizzas in different sizes and with different toppings. The pizzeria wants its customers to have 12 options when they create a pizza. Which combination of size and toppings will give customers 12 options? Select three options. 4 sizes and 3 toppings 2 sizes and 10 toppings 3 sizes and 9 toppings 2 sizes and 6 toppings 3 sizes and 4 toppings.

Answer:

Step-by-step explanation:

The midpoint formula is

\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\) and we have the coordinates of the midpoint and the coordinates of one endpoint. Filling that in we have:

\((-5,-4)=(\frac{-4+x_2}{2},\frac{-7+y_2}{2})\) and we will solve for the missing values one at a time. x first:

\(-5=\frac{-4+x_2}{2}\) and

-10 = -4 + x₂ so

-6 = x₂ and do the same for y:

\(-4=\frac{-7+y_2}{2}\) and

-8 = -7 + y₂ so

-1 = y₂

Thus, the coordinates of point g are (-6, -1)

Answer:

C) y = 3x + 2

Step-by-step explanation:

Given the slope of the line, m = 3, and the coordinates of the y-intercept, (0, 2).

We can substitute these values into the following slope-intercept form, y = mx + b, where:

m = slope

b = the y-coordinate of the y-intercept.

Therefore, the correct answer is option C, where it shows the equation of the line in slope-intercept form is: y = 3x + 2.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.

To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.

The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).

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Answer:

The set of whole numbers is closed by multiplication and addition.

Step-by-step explanation:

Answers are A and C

Hope it helped brainiest plz

Answer:

5 classes - 2 bass classes and 3 viola classes.

Step-by-step explanation:

Find the greatest common factor (GCF)

List the factors of 20 and 30:

20: 1, 2, 4, 5, 10, 20

30: 1, 2, 3, 5, 6, 10, 15, 30

The greatest factor that both numbers share is 10.

Therefore, there are 10 students in each class. So, she teaches 2 bass classes and 3 violas classes.

hope this helps! <3

Answer:

Step-by-step explanation:

D) a = 24, c = 48, e = 22, i = 80

Answer:

S(t) is a function, because there is a unique output value (number of students) for each input value (number of years after 2000)

S(t) can be represented by a graph, where the horizontal axis represents the number of years after 2000, and the vertical axis represents the number of students

Step-by-step explanation:

The statements regarding function S are true are:

S(5) = 2024 means there were 2024 students in 2005.

S(10)= S(5) there same number of students in 2005 and 2010.

We have function,

S(t)= 2000t

First, S(0) in 2000 means that there were 2000 students in starting.

Second, S(5) = 2024 means there were 2024 students in 2005.

Third, S(10)= S(5) there same number of students in 2005 and 2010.

Fourth, S(15)- S(10)= -40 means that there were 40 less students in 2015 than in 2010.

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A new sample size of at least 537 fish to estimate the true mean length with a margin of error of 0.5 centimeters and 95% confidence.

To determine the size of a new sample so that the true mean length is estimated with a margin of error of 0.5 centimeters with 95% confidence, we need to find the standard error of the mean and use it in the formula for the margin of error.

The formula for the margin of error is: ME = z * (σ/√n)

where z is the z-score corresponding to the desired confidence level, σ is the standard deviation of the population, and n is the sample size.

We can estimate the standard deviation of the population using the sample variance, which is given as 34.9.

The standard deviation is the square root of the variance, so σ = √34.9

= 5.91.

To find the standard error of the mean, we divide the standard deviation by the square root of the sample size:

SEM = σ/√n

= 5.91/√n We want the margin of error to be 0.5 centimeters, so we can set up the equation:

0.5 = z * (5.91/√n)

To solve for n, we need to know the value of z for a 95% confidence level.

This corresponds to a z-score of 1.96. Substituting this into the equation gives: 0.5 = 1.96 * (5.91/√n)

Simplifying and solving for n gives: √n = 1.96 * (5.91/0.5) √n

n =(23.18)

n = 537

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Answer:

80 = EG

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

40 = 1/2 EG

Multiply each side by 2

80 = EG

Answer:

80 deg

Step-by-step explanation:

Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc.

m<EFG = (1/2)m(arc)EG

40 deg = (1/2)m(arc)EG

m(arc)EG = 2 * 40 deg

m(arc)EG = 80 deg

Step-by-step explanation:

Both hypothesis are 3

so,

sin 45 = h/3

h= 3 sin 45

\(h= \: \frac{3}{ \sqrt{2} } \)

Answer:

  d.  102°

Step-by-step explanation:

We can use the relations ...

to write equations that let us find x and all of the angles in ∆PQR.

The congruence relation ∆ABC ≅ ∆PQR tells us that ∠P = ∠A. Using the given expressions for these angles, we have ...

  ∠P = ∠A

  8x +4 = 5x +16

  3x = 12 . . . . . . . . . subtract (5x+4)

  x = 4 . . . . . . . . . divide by 3

Then the measure of angle P is ...

  ∠P = 8x +4 = 8(4) +4 = 36 . . . . . degrees

Angle Q in ∆PQR is given as ...

  ∠Q = 10x +2 = 10(4) +2 = 42 . . . . . degrees

Then the measure of angle R needed to make the total of angles in ∆PQR be 180° is ...

  ∠R = 180° -36° -42° = 102°

Angle R is 102°.

__

In summary:

Answer:

-3

Step-by-step explanation:

\(f(x)=-2x^3+x^2-2 \\\\f(1)=-2(1)^3+(1)^2-2= \\\\-2+1-2=\\\\-3\)

Hope this helps!

Step-by-step explanation:

Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32

Papa seca = \(\frac{1}{2} *4\)

                     = 2 papas secas

Cerdo = \(\frac{1}{2} *4\)

       = 2 kg de carne de cerdo

Cebollas = 1 * 4

            = 4 cebollas grandes

Aji panca = 3 * 4

               = 12 cucharadas de aji panca

Ajo molido = \(1\frac{1}{2} *4\)

                       = \(\frac{3}{2} *4\)

                       = 6 cucharadas de ajo molido

Sal = 1 * 4

      = 4 cucharadas de sal

Interior angles sum: 180(3-2) = 180

180 - (76 + 59) = 45

Your answer: 45

Answer:

45°

Step-by-step explanation:

USING TRIANGLE ANGLE SUM THEOREM:-

Hope it helps! :) ~

The standard error of the sample mean, \(\bar{x}\) , is the standard deviation of the distribution of sample means.

The standard error is a measure of the amount of variability in the mean of a population. It is also defined as the standard deviation of the sampling distribution of the mean. This value is used to create confidence intervals or to test hypotheses. The formula to find the standard error is SE = s/√n, where s is the sample standard deviation and n is the sample size. This estimate shows the degree to which the sample mean is anticipated to vary from the actual population mean.

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b) Decreasing the sample size

c) Increasing the standard deviation

a) Decreasing the confidence level will decrease the width of the confidence interval. A lower confidence level means we are less certain about capturing the true population mean, so we allow for a smaller margin of error, resulting in a narrower interval.

b) Decreasing the sample size will increase the width of the confidence interval. With a smaller sample size, there is less information available to estimate the population mean. This increased uncertainty leads to a wider confidence interval to accommodate a potentially larger margin of error.

c) Increasing the standard deviation will increase the width of the confidence interval. A larger standard deviation indicates more variability in the data. With greater variability, the estimated population mean could be further away from the true mean, requiring a wider interval to capture the potential range.

d) Decreasing the mean does not affect the width of the confidence interval. The width of the interval is primarily determined by factors such as confidence level, sample size, and standard deviation. The value of the population mean itself does not impact the width of the interval since it is the target value being estimated.

In summary, decreasing the confidence level and sample size, as well as increasing the standard deviation, will all increase the width of the confidence interval for a population mean, reflecting increased uncertainty and potential variability in the estimation. However, decreasing the mean does not directly impact the width of the interval.

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the answer is option 2....

Answer:

Option 2

Step-by-step explanation:

when the power appears as a fraction, take the root of the number based on the denominator of the fraction when numerator is equal to 1

Answer:

The answer is B

Ratio compares two things. The area of the room, in reality, is 23.52 m².

Scale ratio compares the length on the map with the length in the reality.

Given to us

Length on the map, L = 12 cm = 0.12 m

Width on the map, w = 4 cm = 0.04 m

Scale model uses a scale in which 2 centimeters represent 1.4 meters.

As it is given to us the scale model uses a scale in which 2 centimeters represents 1.4 meters. therefore,

\(\rm \dfrac{Scale\ Model}{Reality} = \dfrac{0.02}{1.4}\)

Length in the reality,

\(\rm \dfrac{L}{L'} = \dfrac{0.02}{1.4}\\\\\rm \dfrac{0.12}{L'} = \dfrac{0.02}{1.4}\\\\L' = 8.4\ m\)

Width in reality,

\(\rm \dfrac{W}{W'} = \dfrac{0.02}{1.4}\\\\\rm \dfrac{0.04}{W'} = \dfrac{0.02}{1.4}\\\\W' = 2.8\ m\)

The area of the room in reality,

A = L' x W'

A = 8.4 x 2.8

A = 23.52 m²

Hence, the area of the room, in reality, is 23.52 m².

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Answer:

3.5 hours

Step-by-step explanation:

Answer:

y=-3x+3

Answer:

y=-3x+3

Answer:

y=-3x+3

Answer:

y=-3x+3

Answer:

y=-3x+3

Answer:

y=-3x+3

Answer:

y=-3x+3

Answer:

y=-3x+3

Answer:

y=-3x+3

Answer:

y=-3x+3

Answer:

y=2/3x+5

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

  −1(175−173+18)   (that sould be the solution)

Hope that helps

The perimeter of the given rectangle above which is QRST would be = 134.

Given that QT = 10 The Pythagorean formula should be used to calculate TS.

That is :

c² = a² + b²

where;

c = TS = ?

a=QS = 36√2

b = QT = 10

c² = (36√2)²+10²

= 2601+100

c =√2701

= 52

But QR = RS

using the sine rule;

a= QR=?

A= 45°

c= 36√2

C= 90°

a/sin45°=36√2/sin90°

That is;

a/sin45° = 51/1

a/0.707106781 = 51

a = 51×0.707106781

a= QR = RS = 36

The perimeter of the rectangle = 10+52+36+36 = 134

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The particle's parametric equations for its position at time t, with a constant speed of 2 from point P to point Q, are x = -6 + 12t, y = -6 + 3t, z = 6 - 11t, and its interval for t is 0 <= t <= sqrt(274)/2.

The distance between points P and Q can be found using the distance formula

d = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

= √((6 - (-6))^2 + (-3 - (-6))^2 + (-5 - 6)^2)

= √(144 + 9 + 121)

= √(274)

Since the particle moves at a constant speed of 2, the time it takes to travel from P to Q can be found by dividing the distance by the speed

t = d/v = √(274)/2

Therefore, the particle passes through point Q at time t = √(274)/2.

To find the parametric equations for the line the particle travels along, we can use the vector equation of a line

r = r0 + tv

where r is the position vector of a point on the line, r0 is the position vector of a known point on the line (in this case, P), t is a scalar parameter representing time, and v is a direction vector for the line (in this case, the displacement vector from P to Q).

The direction vector v can be found by subtracting the position vector of P from the position vector of Q

v = Q - P = (6, -3, -5) - (-6, -6, 6) = (12, 3, -11)

Substituting the values we have found, we get

r = (-6, -6, 6) + t(12, 3, -11)

Expanding this vector equation, we get the parametric equations for the line

x = -6 + 12t

y = -6 + 3t

z = 6 - 11t

The interval for t can be found by considering the range of values that allow the particle to move from P to Q. Since the particle passes through P at time t = 0 and through Q at time t = √(274)/2, we have

0 <= t <= √(274)/2

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If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

Quantitative order:

Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

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89+78=167

Hope this helps

-Moiselle

there are 10 short answer questions on the test, we get this answer after solving.

Let's assume that the number of multiple choice questions on the test is "m", and the number of short answer questions is "s".

From the given information, we can set up a system of equations:

m + s = 30 (The total number of questions on the test is 30)

1m + 3s = 50 (The total number of points on the test is 50)

To solve for "s", we can use the first equation to find "m" in terms of "s":

m = 30 - s

Then we can substitute this expression for "m" into the second equation:

1(30 - s) + 3s = 50

Simplifying and solving for "s", we get:

30 - s + 3s = 50

2s = 20

s = 10

Therefore, there are 10 short answer questions on the test.

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Complete Question

Diego’s history teacher writes a test for the class with 30 question. The test is worth 50 points and has two types of questions: multiple choice worth 1 points each, and short answer problems worth 3 points each. How many short answer questions are in the test? Explain or show you reasoning.

Answer:

20

Step-by-step explanation: