The cost of a cheese pizza is $9.99 plus $0.35 for each additional topping, t.

Write an inequality that can be used to represent the cost of a pizza that is at most $12.
What is the most number of toppings that a pizza can have and still be at most $12?

If Gary took another week to finish all of the remaining project work, then approximately the project work he finished in the last week cost $6.39.

In the first week, Gary finished 7/16 of the project, which means that he has completed 9/16 of the project work so far. In the second week, he completed 18.75% of the project, which is equivalent to 3/16 of the project.

Finally, in the third week, he completed 1/4 of the project, which is equal to 4/16 of the project. Therefore, in the first three weeks, Gary completed a total of 16/16 or the entire project, with a total cost of $102.21.

If Gary took another week to complete the remaining work, we can assume that he completed 1/16 of the project work in the last week.

To determine how much this work cost, we can take the total cost of the project and divide it by the total amount of work completed, which is $102.21/16 = $6.39.

Therefore, the project work that Gary completed in the last week cost approximately $6.39.

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The rearranged equation is y = 4x + 5.

An equation is a mathematical statement formed when two expressions are equated using an equal sign.

The equations are useful in the determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, and quadratic equations.

The equation is, 4x + 10 = 2y - 4x  

To arrange the equation in terms of y = mx +c

The y terms will be moved to the left and the constant terms will be moved to the right and x terms will also be moved to the right.

-2y = -4x - 4x -10

2y = 8x +10

y = 4x + 5

The value of y, when x = 2

y = 4 * 2 +5

y = 8 +5

y = 13

The value of y, when x = 4

y = 4 * 4 + 5

y = 16 + 5

y = 21

The value of y, when x = -1

y = 4 * (-1) + 5

y = -4 +5

y = 1

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Answer:

Step-by-step explanation:

Equation for the linear function has been given as,

y = 26 - 4x

For x = 1,

y = 26 - 4(1)

  = 26 - 4

  = 22

For x = 2,

y = 26 - 4(2)

  = 26 - 8

  = 18

For x = 3,

y = 26 - 4(3)

  = 26 - 12

  = 14

For x = 6,

y = 26 - 4(6)

  = 26 - 24

  = 2

Therefore, table for the function will be,

x               y

1              22  

2              18

3              14

6               2

Answer: c=18.9-2.1r.

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have that

The linear equation in standard form is

where

c is the pounds of chicken

r is the pounds of ribs

Solve the equation for c

That means ----> isolate the variable c

Subtract 1.89r both sides

Divide by 0.90 both sides

Simplify

Solve the equation for r

That means ----> isolate the variable r

Subtract 0.90c both sides

Divide by 1.89 both sides

Simplify

therefore

The equation  is equivalent

The equation is helpful, because if I want to know the number of pounds of chicken, I just need to substitute the number of pounds of ribs in the equation to get the result.

The correction factor that should be used to compute the standard error is 2.326. When constructing a confidence interval for the mean, we use the formula:

CI = X ± tα/2 (SE)

Where X is the sample mean, tα/2 is the critical value from the t-distribution with (n-1) degrees of freedom, and SE is the standard error of the mean. Since the population size is finite and the sample size is less than 10% of the population size, we need to use a correction factor to adjust for the bias in the standard error calculation. The correction factor is calculated as:

CF = sqrt((N-n)/(N-1))

Where N is the population size and n is the sample size. In this case, the correction factor is:

CF = sqrt((1000-100)/(1000-1)) = 0.993

Therefore, the corrected standard error is:

SE* = SE * CF = SE * 0.993

To find the critical value, we need to look up the t-score in a t-table with (n-1) degrees of freedom and a confidence level of 98%. This gives us a critical value of 2.326. Therefore, the final formula for the confidence interval is:

CI = X ± 2.326(SE*)

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The Equation of circle is (x-2)² +(y+ 8)² = 7²

The standard form of a circle with center (h, k) and radius r is given by the equation:

(x-h)²  + (y-k)² = r²

In this equation, (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

In this case, the center of the circle is (2, -8) and the radius is 7.

Plugging these values into the equation, we have:

(x- 2)² + (y- (-8))² = 7²

Simplifying further:

(x-2)² +(y+ 8)² = 7²

So, the equation in standard form for the circle with center (2, -8) and radius 7 is:

(x-2)² +(y+ 8)² = 7²

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The expected number of trials to get a first success in an event with probability of success p and probability of failure q is 1/p.

The expected number of trials to get a first success in an event with probability of success p and probability of failure q can be calculated using the formula:

Expected number of trials = 1/p

Therefore, the expected number of trials to get a first success in this event is 1/p.

For example, if the probability of success is 0.2 (or 20%), then the expected number of trials to get a first success is 1/0.2 = 5 trials.

It is important to note that this formula assumes that each trial is independent of the previous trials, meaning that the probability of success or failure does not change from one trial to the next.

In summary, the expected number of trials to get a first success in an event with probability of success p and probability of failure q is 1/p.

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The surface area of the cone is 305.30 inches squared.

The height of the cone is 7 inches and the diameter of the cone is 8 inches. Therefore, let's find the surface area of the cone as follows:

surface area of the cone = πr(r + l)

where

Hence,

r = 8 / 2 = 4 inches

l² = 7² + 4²

l = √49 + 16

l = √65

l = 8.0622577483

l = 8.06 inches

Therefore,

surface area of the cone = 3.14 × 8.06(4 + 8.06)

surface area of the cone = 25.3154893297(12.06)

surface area of the cone = 305.304801316

surface area of the cone = 305.30 inches squared

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22. Omitted variable bias refers to the bias in the estimated coefficients of a regression model caused by the omission of relevant variables from the model.

23. The t-test, or the Student's t-test, is commonly used to determine if the coefficients of a regression model are statistically significant. The null hypothesis in this test is that the coefficient is equal to zero.

Omitted variable bias occurs when a regression model fails to include one or more important variables that are related to both the dependent variable and the included independent variables. This omission leads to a biased estimation of the coefficients in the model.

Omitted variable bias arises due to the failure to account for the omitted variable's influence on the dependent variable, resulting in a distortion of the relationship between the included independent variables and the dependent variable. This bias can lead to incorrect inferences and conclusions.

To understand the impact of omitted variable bias, consider an example where we want to examine the relationship between a person's education level (X) and their income (Y). If we only include education level in the regression model and omit other relevant factors such as work experience or industry, the estimated coefficient for education level may be biased.

This bias occurs because work experience and industry are likely to be correlated with both education level and income. By omitting these variables, we fail to capture their impact on the dependent variable, leading to a biased estimation of the education coefficient.

The t-test is a statistical test used to determine if the estimated coefficients in a regression model are statistically significant. The test assesses whether the coefficient is significantly different from zero.

The null hypothesis in the t-test is that the coefficient is equal to zero, indicating no relationship between the independent variable and the dependent variable. If the p-value associated with the t-test is below a predetermined significance level (commonly 0.05), we reject the null hypothesis and conclude that the coefficient is statistically significant.

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Answer:

69.08 yd

Step-by-step explanation:

22 times 3.14 = 69.08 yd

Answer:

-3

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, then

5x - 9 = 3x + 11 ( subtract 3x from both sides )

2x - 9 = 11 ( add 9 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Answer:

3

Step-by-step explanation:

17 + 1 = 18

18/6 = 3

The linear expression that is not equivalent to the other three is D) (-5x-1)+(6x + 7).

A linear expression is an algebraic expression which is composed of constants, variables, and coefficients that are related by only addition and multiplication operations. It usually takes the form of ax + b, where 'a' and 'b' are constants and 'x' is a variable. Linear expressions can be used to describe various mathematical and physical phenomena, such as the slope of a line or the volume of a cylinder.

This linear expression is not equivalent to the other three because it does not have the same coefficient for the x terms and the constant terms. The other three expressions all have the same coefficients for the x terms and the constant terms, making them equivalent.

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Answer: 6.68 dollar

Step-by-step explanation:

Since you are charged 7.86 per yard, you multiply that by the amount you would buy. 0.85*7.86 is 6.681. But since you can't spend 0.001, you round to the nearest hundreths, 6.68.

Answer:

285

Step-by-step explanation:

Answer:

255.75ft/inch

Step-by-step explanation:

s (scale) = 12,276/4

s = 3069 ft

s = 3069/12

s = 255.75

answer.)s=255.75

explanation:

•divide 12,276' by 4'

•3069'/1'

• 1'=12"

• 3069' divided by 12"

•255.75

Answer:

f(n)= f(1)+d(n-1)

Step-by-step explanation:

the aerithmetric explict formula is the one above, but im  not sure what the question is asking, your difference is 4 btw    

Answer:

answer = 15.1 cm

Step-by-step explanation:

The true statements are:

C. . A line segment consists of two endpoints and all the points between

D. A line has two endpoints.

A line segment is bounded by two distinct points on a line.

How to know which statement is true?

From the definition,.

Also, we know that through two points one and only one line can pass .

Therefore, A line has two endpoints.

So, option C and D are correct.

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The following statement that is FALSE is: In a system of forces and moments, any force whose line of action passes through the moment axis will impact the resultant moment for the system.

The moment of force, often known as torque, is the quantity that produces rotational motion.

The moment of a force is defined as the product of the force magnitude and the distance between the force's line of action and the moment center.

A distributed load, also known as a distributed force, is a load spread over a wide area or a line.

In civil engineering, electrical engineering, and mechanical engineering, the term is widely used.

It is frequently regarded as a continuous distribution of force over the load-bearing component.

The sum of the moments of the forces acting on a system is known as the resultant moment of the system.

To discover the resultant moment for the system, the moments of all forces must be combined.

The positive and negative signs of moments must be carefully considered when adding moments.

In conclusion, any force whose line of action passes through the moment axis will impact the resultant moment for the system is a false statement.

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CCCCCC"CCCCCCCCCCC"CCCCCCCCCCCCCCCCCCCCC

Answer:

9r^2 + 7r - 5

Step-by-step explanation:

Answer:

Arc AB = 110

Step-by-step explanation:

<C = 55 degrees. That's the way the triangle is marked. AB = BC.

The central angle is twice the angle made by the end points of line AB

The central angle = 2*55 = 110

The measure of arc AB equals the central angle which makes arc AB = 110

To solve for \(V_2\) in the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) with the given values \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\), we can rearrange the equation to isolate \(V_2\). The solution for \(V_2\) is approximately 12.1.

To explain the solution further, we start with the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) and the given values: \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\).

Rearranging the equation to solve for \(V_2\), we divide both sides of the equation by \(M_2\): \(\frac{{M_1 \cdot V_1}}{{M_2}} = V_2\).

Substituting the given values, we have \(\frac{{22.7 \cdot 2.70}}{{5.24}}\), which can be evaluated to find \(V_2 \approx 12.1\).

This calculation is based on the principle of the dilution formula, which states that the initial concentration and volume of a solution are equal to the final concentration and volume when diluted. By rearranging the equation and plugging in the given values, we can determine the unknown volume, \(V_2\), in the equation. The resulting value of 12.1 indicates the volume required to achieve the desired concentration in the dilution process.

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To solve for \(V_2\) in the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) with the given values \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\), we can rearrange the equation to isolate \(V_2\). The solution for \(V_2\) is approximately 12.1.

To explain the solution further, we start with the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) and the given values: \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\).

Rearranging the equation to solve for \(V_2\), we divide both sides of the equation by \(M_2\): \(\frac{{M_1 \cdot V_1}}{{M_2}} = V_2\).

Substituting the given values, we have \(\frac{{22.7 \cdot 2.70}}{{5.24}}\), which can be evaluated to find \(V_2 \approx 12.1\).

This calculation is based on the principle of the dilution formula, which states that the initial concentration and volume of a solution are equal to the final concentration and volume when diluted. By rearranging the equation and plugging in the given values, we can determine the unknown volume, \(V_2\), in the equation. The resulting value of 12.1 indicates the volume required to achieve the desired concentration in the dilution process.

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The concave mirror is 36.7 cm away from the face.

The magnification equation is:

Magnification=m=-v/u where v is the image distance and u is the object distance.

Given that the upright image of a man's face is 2.54 times the size of the face, therefore magnification,

m=2.54 =-v/u.........(i)

Now, the mirror is a concave mirror and its radius of curvature, R=+36.7 cm.

Thus, the mirror's focal length, f=R/2=+18.35 cm.....(ii)

In terms of focal length, the object distance, u = -f.......(iii)

Substituting equation (ii) and (iii) in equation (i), we get:

2.54=-v/(-f)v=-2.54f

Now we have the relationship between v and f.

The object distance from the mirror is the sum of the focal length and the image distance.

Hence the object distance is:

u=f+v

u=-f+v

=-f-2.54f=-3.54f

Substituting the value of f=-18.35 cm, we get:

u= -3.54f

=3.54×18.35 cm = 64.99 cm

Therefore, the concave mirror is 64.99 cm away from the face of the man.

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