Write an inequality

The minimum speed is 40 mph.

The greatest amount of McNuggets that CANT be purchased is, 73

Now, we can use the "Chicken McNugget Theorem", that is,

the largest number that cannot be formed using two relatively prime numbers a and b is ab - a - b.

Hence, We can use this theorem to find the largest number that cannot be formed using 8 and 11:

8 x 11 - 8 - 11 = 73

Therefore, the largest number of McNuggets that cannot be purchased using boxes of 8 and 11 is 73.

However, we also need to check if 10 is part of the solution. To do this, we can use the same formula to find the largest number that cannot be formed using 10 and 11:

10 x 11 - 10 - 11 = 99

Since, 73 is less than 99, we know that the largest number of McNuggets that cannot be purchased is 73.

Therefore, we cannot purchase 73 McNuggets using boxes of 8, 10, and 11.

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The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following inequality

solvinfg for w:

Answer:

b . 6 hours the number of hours students watch television when they do not exercise

Step-by-step explanation:

hours the number of hours students watch television when they do not exercise

Thats how I got the answer

Answer:

6 hours; the number of hours students watch television when they do not exercise

A boat takes 3.40 hours to travel 25.0 km down a river, then 4.60 hours to return, so the river is flowing at the speed of 0.95km/hrs.

Let x represent the boat's speed on still water.

Let y equal the current's speed.

The time is 3.40 hours, and the rate is x + y with the current.

The time is 4.60 hours, and the rate against the current is x - y.

rate x time = downstream

distance (x + y) * 3.40 = 25

Thus, upstream, 3.4x + 3.4y = 25. (x - y) * 4.60 = 25 so 4.6x - 4.6y = 25

Add 4.6 to both sides of the "downstream" equation and 3.4 to both sides of the "upstream" equation:

15.64x + 15.64y = 115

15.64x - 15.64y = 85

When the two equations are combined: 31.28x = 200, so x = 6.4

In other words, 15.64(6.4) + 15.64(y) = 115 and 100 + 15.64y = 115 are equivalent to 15.64x + 15.64y = 115.

120 is subtracted from both sides: 15.64y = 15, so y = 0.95

The speed of the boat in still water is 6.4 km per hour

The speed of the current is 0.95 km per hour.

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It will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

To solve this problem, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future Value

P = Payment (deposit amount)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, Vincent deposits $165 at the end of each quarter, so P = $165. The annual interest rate is 6%, compounded quarterly, so the interest rate per compounding period, r, would be 6% divided by 4 (since there are 4 quarters in a year), which is 0.06/4 = 0.015.

We want to find the number of years, n, it will take for Vincent's savings to reach $9,000. Let's substitute the given values into the formula and solve for n:

9,000 = 165 * [(1 + 0.015)^n - 1] / 0.015

To solve this equation, we can use algebraic techniques or a financial calculator. Solving the equation, we find that n is approximately 15.83.

Since n represents the number of quarters, we need to convert it to years by dividing it by 4 (since there are 4 quarters in a year):

n (in years) = 15.83 / 4 ≈ 3.96

Therefore, it will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

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(a) The distribution of X is binomial with parameters n = 20 and p = 600/3000 = 1/5 since we are randomly selecting 20 clients without replacement and interested in the proportion of happy consumers. Given below is the probability density function for this binomial distribution.

f(x) is equal to (n pick x) * p * x * (1-p) (n-x)

Where p and 1-p are the probability of success and failure, respectively, and n pick x is the binomial coefficient, which is equal to n!/(x! * (n-x)!).

(b) The formula for the anticipated value of X, or E[X], is

E[X] = np = 20 * (1/5) = 4

Var X, the variance of X, is defined as follows:

Var X = np(1-p) = 20*1/5*4/5=3.2

(c) The cumulative distribution function of the binomial distribution's formula can be used to get P[X >= 3]:

Sum(i=3 to n) f for P[X >= 3] (i)

Summarizing from I = 3 to 20 and substituting the values from the density function, we obtain:

Sum(i=3 to 20) = P[X >= 3] [(20 pick I (1/5)*i*4/5*(20-i)]

(d) We must determine the value of the cumulative distribution function at x = 3, which is equivalent to the likelihood of receiving three or fewer successes out of 20 trials, in order to approximate P[X >= 3] using the binomial table. By using n = 20 and p = 1/5 to calculate the value of the cumulative distribution function at x = 3 in the binomial table, it is possible to determine this probability. P[X >= 3]'s estimated value is 0.586.

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2 Hours

this is because one pipe takes 4 hours, and if both pipes take 2 hours, that is cutting the time in half, meaning both pipes pour the same amount and take the same time.

hope this is helpful!

To describe the typical quiz scores of the students, a common measure used is the mean, or average, score. The mean is calculated by summing up all the scores and dividing by the total number of scores.

Given its simplicity and simplicity in interpretation, the mean was chosen as a proxy for normal quiz scores. It offers a solitary figure that encapsulates the scores' median. We can figure out the pupils' overall performance on the quiz scores by computing the mean.

It's crucial to keep in mind, though, that outliers or extremely high scores dividing might have an impact on the mean. The mean may not be an accurate representation of the normal results of the majority of students if there are a few students who severely underperform or do very well on the quizzes.

To get a more thorough picture of the distribution of quiz results in such circumstances, it might be beneficial to take into account additional metrics like the median or mode.

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Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

Answer:

130g

Step-by-step explanation:

Hector and Gabrielle will have $638.45 in their savings account after two years of earning 13% interest compounded annually. They will be able to spend up to this amount on their trip.

To solve this problem, we need to use the formula for compound interest:

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

where:

A = the final amount

P = the initial deposit

r = the annual interest rate as a decimal

n = the number of times interest is compounded per year

t = the time in years

In this case, we have:

P = $500.00

r = 13% = 0.13 (as a decimal)

n = 1 (compounded annually)

t = 2 years

So, we can plug these values into the formula:

A = $500.00(1 + 0.13/1)²

A = $500.00(1.13)²

A = $500.00(1.2769)

A = $638.45

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Answer:

JK = 16√2

Step-by-step explanation:

This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.

Since this has a side of 16, the hypotenuse will be 16√2.

Cheers.

Answer:

10.8

hope this helps

Answer:

\(\boxed {10.8}\)

Step-by-step explanation:

The equation:

\(\sqrt{116}\)

Simplify:

\(\sqrt{116}\)

\(2\sqrt{29} \approx 10.77\)

-Round the approximation to the nearest tenth:

\(\boxed {10.8}\)

To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:

Let u = y,

v = y',

w = y".

Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:

du/dx = y' = v,

dv/dx = y" = w,

dw/dx = y"'.

Now we can rewrite the given differential equation in terms of u, v, and w:

u - w - 4u + 4u = 0.

Simplifying the equation, we get:

-3u - w = 0.

This equation can be expressed as a system of first-order linear differential equations as follows:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

Now we have a companion system of linear equations:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.

The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.

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We can be 98% that the margin of error is given as follows:

2.35 centimeters.

We have the standard deviation for the sample, hence the t-distribution is used for this problem.

The equation for the margin of error, using the t-distribution, is given as follows:

\(M = t\frac{s}{\sqrt{n}}\)

The parameters are given as follows:

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 50 - 1 = 49 df, is t = 2.4049.

The remaining parameters, the sample size and the standard deviation for the sample, have values given as follows:

n = 50, s = 6.9.

Hence the margin of error is given as follows:

M = 2.4049 x 6.9/square root(50) = 2.35 centimeters.

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Answer:

Final Balance = 106.90$

Step-by-step explanation:

Using the simple interest formula I = prt.

The current balance after accumulated interest is B = I + p.

Given a principle of $100, time of 3 years, and interest rate of 2.3%.

I = (100$)(3y)(2.3%) = (100)(3)(2.3%) = (300)(2.3%) = (300)(0.023) = 6.90$

B (final balance) = 6.90$ + 100$ = 106.90$

If a price of $45 is charged, then Troy will make a profit of $3,645,000.

First, calculate the contribution margin per unit by subtracting the variable cost per unit from the price. The contribution margin per unit is $45 - ($3,510,000/155,500) = $21.77. This means that for each unit sold, Troy will earn a profit of $21.77 after covering the variable costs.

Next, calculate the break-even point in units by dividing the fixed costs by the contribution margin per unit. The break-even point is $1,000,000/$21.77 = 45,958.91 units.

Since Troy is selling more than the break-even point, he will make a profit. To find out how much profit is, calculate the total contribution margin by multiplying the contribution margin per unit by the number of units sold: $21.77 x 155,500 = $3,384,925.

Finally, subtract the total variable costs and fixed costs from the total contribution margin to find the profit: $3,384,925 - $3,510,000 - $1,000,000 = $3,645,000. Therefore, Troy will make a profit of $3,645,000 if a price of $45 is charged.

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Decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

The expression SS stands for "sum of squares", which is a statistical concept used in analysis of variance (ANOVA) to quantify the variation in a dataset. The components of this expression, a, b, c, and d, represent different sources of variation in the dataset, and their meanings are as follows:

a. (df)(s^2): This component represents the sum of squares due to the effect of the independent variable, also known as the factor or treatment. It is calculated by multiplying the degrees of freedom (df), which is the number of levels of the factor minus one, by the variance of the data within each level (s^2). This component quantifies the amount of variation in the dependent variable that can be explained by the independent variable.

b. (df)(s): This component represents the sum of squares due to the interaction between the independent variable and other factors, also known as the interaction effect. It is calculated by multiplying the degrees of freedom (df) by the standard deviation (s) of the data. This component quantifies the amount of variation in the dependent variable that is due to the joint effect of the independent variable and other factors.

c. (n)(s^2): This component represents the sum of squares due to the variation within groups, also known as the error or residual sum of squares. It is calculated by multiplying the sample size (n) by the variance of the data within each group (s^2). This component quantifies the amount of variation in the dependent variable that is not explained by the independent variable or other factors.

d. (n)(s): This component represents the sum of squares due to the variation between the sample mean and the overall mean, also known as the total sum of squares. It is calculated by multiplying the sample size (n) by the standard deviation (s) of the data. This component quantifies the total amount of variation in the dependent variable.

In summary, the expression SS = a. (df)(s^2) + b. (df)(s) + c. (n)(s^2) + d. (n)(s) represents the decomposition of the total sum of squares into its components due to the independent variable, interaction effect, error, and total variation. This decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

16 boxes

Step-by-step explanation:

94+37=131

131/8=16.375

This means that the most possible boxes that they can fill is 16 boxes

Answer:

They can completely fill 16 boxes

Step-by-step explanation:

94 + 37 = 131

131/8 = 16.375

So that is 16 completely filled boxes and one box with .375 (3 muffins)

The hypotenuse is 5 of a right triangle with legs of length3 and4

The Pythagoras theorem goes as follows:

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

a²+b²=c²

'A' and 'B' are the other two legs, and '=' is the hypotenuse of the right triangle. As a result, the Pythagoras equation can be used for any triangle that has one angle that is exactly 90 degrees to create a Pythagoras triangle.

Here: a=3,b=4

32+42=c²

9+16=c²

25=c²

=√25=5

So, the hypotenuse is 5

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After doing the equitation the at rate of $15 per week.

How to do graph representation?

Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.

Carson owes = $110

At rate of $15 per week.

The graph representation will follows:

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Answer:

x = -5

Step-by-step explanation:

Start by combining terms.

8x-2 = 12x +18

8x -12x = 18+2

-4x = 20

*Divide both sides by -4

x = -5

(a) value of reaction is Qp = (43)^2 (23)/(675)^2Qp = 0.000444 (b) Thus the mixture is not at equilibrium.(c)  the reverse reaction is not favored and the forward reaction is favored.(d) Therefore, at equilibrium; P(NOCI) = (675 - 2x) = 648.6 torr P(NO) = (43 + x) = 56.2 torr P(Cl2) = (23 + x) = 36.2 torr.

a. Value of the reaction quotient Qp is given by the formula Qp= [NO]2 [Cl2]/ [NOCI]2Substituting the given values, we have; Qp = (43)^2 (23)/(675)^2Qp = 0.000444

b. To determine whether the mixture is at equilibrium or not, we compare the reaction quotient Qp with the equilibrium constant Kp. Qp < Kp implies that the reaction will proceed in the forward direction, whereas, Qp > Kp implies that the reaction will proceed in the reverse direction.

Qp < Kp, hence the reaction will proceed in the forward direction. Thus the mixture is not at equilibrium.

c. The reaction will move in the forward direction to reach equilibrium. This is because Qp is less than Kp, which means that the reverse reaction is not favored and the forward reaction is favored.

d. When the system reaches equilibrium, the partial pressures of the components in the system can be calculated using the formula; Kp = [NO]2 [Cl2]/ [NOCI]2Given that the equilibrium constant Kp is 0.60, the partial pressure of NOCI is 675 torr, and the reaction is exothermic, it follows that the partial pressure of NO will be higher and that of chlorine will be lower at equilibrium.

The equilibrium concentrations are given as;[NO]2 [Cl2]/ [NOCI]2 = 0.60Let x be the extent of the reaction, then (675 - 2x) will be the concentration of NOCI and (43 + x) will be the concentration of NO. Therefore, concentration of Cl2 is (23 + x).Substituting in the expression for Kp, we have;(43 + x)2 (23 + x)/ (675 - 2x)2 = 0.60Solving this equation gives x = 13.2 torr.

Therefore, at equilibrium; P(NOCI) = (675 - 2x) = 648.6 torr P(NO) = (43 + x) = 56.2 torr P(Cl2) = (23 + x) = 36.2 torr.

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Answer:

D

Step-by-step explanation:

Substitute n = 1, 2, 3, 4, 5 into the explicit formula

a₁ = \((-2)^{0}\) = 1

a₂ = \((-2)^{1}\) = - 2

a₃ = \((-2)^{2}\) = 4

a₄ = \((-2)^{3}\) = - 8

a₅ = \((-2)^{4}\) = 16

The first 5 terms are 1, - 2, 4, - 8, 16

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

its easy

Look at the pictures.

Please mark brainlest

If you cant see the result is 24f+24d

Answer:

3

Step-by-step explanation:

Answer:

38.8

Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8