Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design.

Which equation can be used to find y , the total cost to buy x shirts?

Answer:

14

Step-by-step explanation:

126*14 = 1764

square root of 1764 = 42

1.

find the factors of 126

126=9*7*2

9 is already a square number. Multiplying by 7*2 will give the answer

OR

2.

Prime factorize or find the prime factors of 126

a.

first one is 2

square it

you get 4

b.

next one is 3

square it

you get 9

c.

so far you got 36

d.

next one is 7

square it

you get 49

Prime factorize 126 to get, 126 = 2*3*3*7

To make this a perfect square (say N), we need N = (2^2)*(7^2)*(3^2)

Therefore the smallest positive integer that we need to multiply 126 with is 2*7 = 14

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Answer:

Yes.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Any line that follows slope-intercept form will be a function.

If we graph this line, we can see that each x-value has its own y-value and it passes the vertical line test.

∴ y = 0.860x + 3.302 is indeed a function.

Answer:

Step-by-step explanation:

\(y=ab^x\\x=0,y=4\\4=ab^0\\4=a(1)\\a=4\\y=4b^x\\x=2,y=256\\256=4b^2\\b^2=\frac{256}{4} =64\\b=\pm8\\y=4(8)^x\\or\\y=4(-8)^x\)

There are 372 children, I hope my answer will be of use to you.

The probability that the first sample following the mean shift produces a statistics that plots inside the control limits: β ^{m-1}( 1-β )

What is Probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Pr(shift found on mth sample) = Pr (not detected for (m-1) samples) x Pr (detected on mth)

= [ 1-(1-β) ]^{m-1} ( 1-β )

=β ^{m-1}( 1-β )

the anticipated number of subgroups to be examined before the shift is seen

ARL=1/{1-β}

Shift not detected on the first sample following the shift:

Pr = 1-(1-β) = β

Pr n successive samples that are outside of the control limits

= ( 1- β )^{n}

f) the likelihood that at least one out of n consecutive statistical plots will fall outside the control limit.

=[1- ( 1- β )]^{n}

=β^{n}

Hence, The probability that the first sample following the mean shift produces a statistics that plots inside the control limits is β ^{m-1}( 1-β )

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Answer:

14 + 2 + 15

Step-by-step explanation:

9514 1404 393

Answer:

  equals can be substituted anytime anywhere

Step-by-step explanation:

cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.

__

If you don't substitute at some point, you find the answer to be ...

  x = 10/cos(60°)

Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.

Answer:

The value of (f/g)(5) is 270

Step-by-step explanation:

Answer:

it's 16

Step-by-step explanation:

on edg

Answer:

calculate the number of atom in 3 mol helium

The area of the replaceable is \(15\) square inches.

The area of a regular hexagon, we can use the formula:

\(A = (3\sqrt3 / 2) \times s^2\)

Where A is the area of the hexagon and s is the length of one of its sides.

To find the area of the replaceable head, we can split it into two shapes: a rectangle and a triangle.

The rectangle has a length of 10 mm and a width of 12 mm, so its area is:

Area of Rectangle \(= length \times width = 10 mm \times 12 mm = 120 mm^2\)

The triangle has a base of  \(12 mm\) and a height of \(6 mm\), so its area is:

Area of Triangle \(= 1/2 \times base \times height = 1/2 \times 12 mm \times 6 mm = 36 mm^2\)

To find the total area of the replaceable head, we add the area of the rectangle and the area of the triangle:

Total Area =Area of Rectangle  +  Area of Triangle \(= 120 mm^2 + 36 mm^2 = 156 mm^2\)

Therefore, the area of the replaceable head is   \(156\)mm².

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Answer:

1/2(6)(2 + x) = 27

3(2 + x) = 27

6 + 3x = 27

6 - 6 + 3x = 27 - 6

3x = 21

3x / 3 = 21 / 3

x = 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the formula A = a + b/2 · h

b = 2·A/h - a

b = 2 · 27/6 - 2

b = 7

The kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given that;

We substitute the given values into the above equation.

K = (1/2)mv²

K = 0.5 × 3kg × (2.6m/s)²

K = 0.5 × 3kg × 6.76m²/s²

K = 10.14kgm²/s²

K = 10.14J

Therefore, the kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

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Answer:

if ur marble count is 6 then

Step-by-step explanation:

First off, the probability of choosing a yellow marble the first time would be 3 out of the 6 total marbles which simplifies to 1/3

Then you have to multiply this probability by the second chance of picking a yellow marble

1/3 * 1/3

1/9

A grade of 85.75 or higher is required to be in the top 40% of the class.

Standard deviation is a statistical measure that represents the amount of variability or dispersion in a set of data values. It measures the degree of spread of the data values from the mean (average) of the data set.

To calculate the standard deviation of a data set, you first need to calculate the mean of the data set. Then, for each data point in the set, you calculate the difference between the data point and the mean. These differences are squared and then summed together. Finally, the sum is divided by the total number of data points minus one, and the square root of this value is taken to obtain the standard deviation.

To find the grade required to be in the top 40%, we need to find the z-score corresponding to the 60th percentile (100% - 40% = 60%).

We can use the standard normal distribution, where the mean (μ) is 0 and the standard deviation (σ) is 1, to find the z-score.

The formula for the z-score is:

z = (x - μ) / σ

where x is the value we want to find the z-score for.

To find x, we can rearrange the formula as:

x = μ + z * σ

where μ = 83 and σ = 11 (given in the problem statement).

To find the z-score for the 60th percentile, we can use a standard normal distribution table or a calculator that has a normal distribution function. Using a standard normal distribution table, we find that the z-score corresponding to the 60th percentile is approximately 0.25.

Plugging in the values, we get:

x = 83 + 0.25 * 11

x = 85.75

Therefore, a grade of 85.75 or higher is required to be in the top 40% of the class.

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The value of x is given as follows:

x = 40.5.

Similar triangles share these two features:

The two triangles in this problem are similar, with the bisection, hence the proportional relationship for the side lengths is given as follows:

x/45 = 18/20

The relationship can be simplified as follows:

x/45 = 0.9.

Applying cross multiplication, the value of x is obtained as follows:

x = 45 x 0.9

x = 40.5.

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ANSWER

x = 41

EXPLANATION

The given angles are supplementary, so their measures add up to 180°,

Now we have an equation for x. First, add like terms,

Then subtract 16 from both sides of the equation,

And finally, divide both sides by 4,

Hence, x = 41.

The product of the terms   \((d - 9)\)  and  \((2d^{2} + 11d -4)\)  will be \((2d^{3} - 7d^{2} - 103d + 36)\).

We have to find the product of two terms.

First term = (d - 9)

Second term = \((2d^{2} + 11d -4)\)

To find the product of these two terms, we will be using the distributive property. According to the distributive property, when we multiply the sum of two or more addends by a number, it will give the same result as when we multiply each addend individually by the number and then add the products together.

We have to find :  \((d - 9) (2d^2 + 11d -4)\)

Using the distributive property,

\(d * 2d^{2} + d * 11 + d * (-4) - 9 * 2d^2 - 9 * 11d - 9 * (-4)\)

After further multiplication, we get

\(2d^{3} + 11d^2 - 4d - 18d^{2} - 99d + 36\)

Now, combine all the like terms.

\(2d^{3} + 11d^{2} - 18d^{2} - 4d - 99d + 36\)

\(2d^{3} - 7d^{2} - 103d + 36\)

Therefore, the product of d-9 and 2d^2 + 11d -4 is \(2d^{3} - 7d^{2} - 103d + 36\)

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Answer:

f(-3) = -9

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

We are given a graph of a quadratic function f(x).

Step 2: Evaluate

f(-3) is x = -3 for the function f(x). According to the graph, when x = -3, y = -9.

∴ f(-3) would equal -9.

The value of f(-3) from the graph of the quadratic function is -9

A polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables. Polynomials are classified based on degree as linear, quadratic, cubic etc.

A quadratic equation is a polynomial of degree 2.

The value of f(-3) can be obtained from the graph. From the graph, the value of f(-3) is -9

The value of f(-3) from the graph of the quadratic function is -9

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The prevalence of sampling errors can be reduced by increasing the sample size. As the sample size increases, the sample gets closer to the actual population, which decreases the potential for deviations from the actual population.

When studying the incidence of rare phenomena, researchers should use "relatively large samples". Using a large sample corrects for bias. If bias has been eliminated, it is safe to assume that the sample is free of sampling errors." The effects of random sampling errors are predictable in the long run.

One of the most effective methods that can be used by researchers to avoid sampling bias is simple random sampling, in which samples are chosen strictly by chance. This provides equal odds for every member of the population to be chosen as a participant in the study at hand.

The prevalence of sampling errors can be reduced by increasing the sample size. As the sample size increases, the sample gets closer to the actual population, which decreases the potential for deviations from the actual population.

Non-probability sampling often results in biased samples because some members of the population are more likely to be included than others.

To avoid non-response bias, researchers should keep surveys as simple as possible, with clear wording and instruction and seek respondents who are relevant to the survey topic.

Therefore,

The prevalence of sampling errors can be reduced by increasing the sample size. As the sample size increases, the sample gets closer to the actual population, which decreases the potential for deviations from the actual population.

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Reflection across the y axis the y coordinate values remains the same but the x coordinates value changes sign. For example

Therefore,

Set D has an error.

The ratio of shadow to the height is constant for flagpole and woman.

The ratio of flagpole shadow and flagpole height is,

The rate of woman shadow and woman height (h) is,

The ratio is smae for woman and flagpole. So,

Solve for h.

Answer: 4.6 feet

Answer:

Step-by-step explanation:So for this question, you need to find side KI and you can find it with the pythagorean theorem

\(5^2+\sqrt{21}^2 = c^2\)

25+21=c^2

46=c^2

c=sqrt46

c=6.78

sin(opposite/hypotnuse)

sin(sqrt21/ sqrt46) =.0117

To solve the given linear program, we'll use the simplex method. Let's label the constraints as (a), (b), and (c).

The objective function is: max 3x + 2y

Subject to the constraints:

(a) 2x + 2y < 8

(b) 3x + 2y < 12

(c) x + 0.5y < 3

(d) x, y > 0

We need to convert the inequalities into equations:

(a) 2x + 2y = 8

(b) 3x + 2y = 12

(c) x + 0.5y = 3

We can rewrite constraint (c) as: 2x + y = 6 for convenience in the calculations.

Z | -3 | -2 | 0 | 0 | 0 | 0 |

s1 | 2 | 2 | 1 | 0 | 0 | 8 |

s2 | 3 | 2 | 0 | 1 | 0 | 12 |

s3 | 2 | 1 | 0 | 0 | 1 | 6 |

The initial tableau represents the maximization problem, with the objective function coefficients in the Z row, the variables x, y, and the slack/surplus variables (s1, s2, s3) in the columns, and the right-hand side values in the b column.

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If the system is consistent, then the equations must be simultaneously solvable, meaning that there is at least one solution. However, it is possible that there are multiple solutions.

If the system is consistent, then there must be an infinite number of solutions. This is because if a system is consistent, then any values that satisfy the equations can be a valid solution. Therefore, if there is at least one solution, then there must be an infinite number of solutions since there are an infinite number of values that can satisfy the equations.

Furthermore, if the system is consistent, then the equations do not contradict each other and therefore can be solved with any combination of values. Therefore, the system must have an infinite number of solutions.

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The least amount we can charge for each CD to make a $100 profit depends on the number of CDs sold. The revenue per CD will decrease as the number of CDs sold increases.

According to Problem 2, we want to find the minimum amount we can charge for each CD to make a $100 profit. To determine this, we need to consider the cost and revenue associated with selling CDs.

Let's say the cost of producing each CD is $5. We can start by calculating the total revenue needed to make a $100 profit. Since the profit is the difference between revenue and cost, the revenue needed is $100 + $5 (cost) = $105.

To find the minimum amount we can charge for each CD, we need to divide the total revenue by the number of CDs sold. Let's assume we sell x CDs. Therefore, the equation becomes:

Revenue per CD * Number of CDs = Total Revenue
x * (Revenue per CD) = $105

To make it simpler, let's solve for the revenue per CD:
Revenue per CD = Total Revenue / Number of CDs
Revenue per CD = $105 / x

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Solution

Step 1

Given data

QS = 7. ST = 24. RT = 48

Step 2:

To find PR, apply the theorem of similar triangles.

Step 3

Apply the Pythagoras theorem to find QT

Step 4

Apply the Pythagoras theorem to find PT

Answer:

me me me omg

Step-by-step explanation:

Answer:

the answer is A and D

Step-by-step explanation:

I took this test

Answer: A and E

Step-by-step explanation:to find a proportional relationship you look at the ratio if it is a constant ratio then it is proportional

ex: A)0 5 10 15

       10 15 20 25

both on the x and y values grow by 5 each time making them proportional

Answer:

x=2

angle 1= 27°

angle 2= 27°

Step-by-step explanation:

(x+6) =( 3x -36)

2x=42

x=21