The receiver's hands and the ball are at the same height at ft above the ground.

The amount of same profit is $19.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

It costs $20 to rent a hot dog roller and it costs $10 to rent a nacho chip warmer.

The cost of additional supplies for the hotdog is $0.02 per tray.

The additional cost for the nachos is $0.06 per container.

Team A will sell the hot dogs for $1.50 each.

Team B will sell the nachos for $1.00 each.

let x be the same amount of profit both earn.

1.48x - 20 = 0.94x - 10

1.48x - 0.94x = 10

0.54x= 10

x = 18.51

hence, the profit is $19.

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Answer: 6 cents

Step-by-step explanation:

1 pound = 16 ounces

3 pounds = 48 ounces

2.88 ÷ 48 = 0.06

0.06 = 6 cents.

One ounce of bananas cost 6 cents.

Hope this helps!

The lateral surface area of the cylindrical oil storage tank is 2668.36 ft² and the total surface area is 6595.36 ft².

To find the lateral surface area of a cylindrical oil storage tank, we need to find the circumference of the circular base

and multiply it by the height of the tank. The circumference is given by:

C = πd

C = π(50 ft)

C = 157.08 ft (rounded to two decimal places)

Therefore, the lateral surface area is:

Lateral surface area = C x h

Lateral surface area = 157.08 ft x 17 ft

Lateral surface area = 2668.36 ft² (rounded to two decimal places)

To find the total surface area, we need to add the area of the two circular bases to the lateral surface area. The area of

a circle is given by:

A = πr²

The radius of the circular base is half the diameter, so:

r = d/2

r = 50 ft/2

r = 25 ft

Therefore, the area of each circular base is:

A = πr²

A = π(25 ft)²

A = 1963.5 ft² (rounded to one decimal place)

So, the total surface area is:

Total surface area = 2A + Lateral surface area

Total surface area = 2(1963.5 ft²) + 2668.36 ft²

Total surface area = 6595.36 ft² (rounded to two decimal places)

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Answer:

56 degrees

Step-by-step explanation:

180-68=112

112/2=56

hope i could help!

Answer:

112

Step-by-step explanation:

The sum of the other two angles is 112 degrees (180-68 = 112).

But the question is, what triangle is it?

Two other angles could be:

1) 90 and 22 degrees;

2) two equal angles of 56 degrees

3) any that would satisfy the condition in the amount of 112 degrees.

Answer:

1.

avg time = total time/ 3

for big car :-

= 4.46/ 3

= 1.48

for small car :-

= 5.14/ 3

= 1.71

2.

avg speed = total distance/ total time

for big car:-

= 2/ 4.46

= 0.45

for small car :-

= 2/ 5.14

= 0.4

The answer to the question how many weeks will it take for the average score of the class to equal 60 is B 9 weeks

Since the average score M (t) = 80 – 20log(t + 1) where t = number of weeks, we need to find the number of weeks it will take the average score to reach 60.

So, we find t when M(t) = 60.

So, M (t) = 80 – 20log(t + 1)

60 = 80 – 20log(t + 1)

Subtracting 80 from both sides, we have

60 - 80 = – 20log(t + 1)

-20 = -20log(t + 1)

Dividing both sides by -20, we have

-20/-20 = log(t + 1)

1 = log(t + 1)

Taking inverse logarithm of both sides, we have

10¹ = t + 1

10 = t + 1

Subtracting 1 from both sides, we have

t = 10 - 1

t = 9 weeks

So, the answer to the question how many weeks will it take for the average score of the class to equal 60 is B 9 weeks

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Answer:

9 weeks

Step-by-step explanation:

I got it right on my exam

Answer:

2

Step-by-step explanation:

To find all relative  extrema of the function f(x) = cos(x) - 8x on the interval [0, 4], we'll use the second derivative test where applicable.

Step 1: Find the first derivative of the function.
f'(x) = -sin(x) - 8

Step 2: Set the first derivative equal to zero to find critical points.
0 = -sin(x) - 8

Step 3: Solve for x.
sin(x) = -8 (Since the range of sin(x) is [-1,1], there are no solutions for this equation on the interval [0, 4].)

Step 4: Check endpoints of the interval.
f(0) = cos(0) - 8(0) = 1
f(4) = cos(4) - 8(4) ≈ -31.653

Step 5: Find the second derivative.
f''(x) = -cos(x)

Step 6: Apply the second derivative test.
Since there are no critical points, we don't need to use the second derivative test.

Conclusion: There are no relative extrema within the interval [0, 4] for the function f(x) = cos(x) - 8x. The extrema on the interval are the endpoints, with a maximum value of 1 at x = 0 and a minimum value of approximately -31.653 at x = 4.

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A relative maximum at x ≈ 2.301, a global minimum at x = 4, and no relative minimum.

To find all relative extrema of the function f(x) = cos(x) - 8x in the interval [0, 4], we will use the first and second derivative tests. Here's a step-by-step explanation:

1. Find the first derivative of the function:

f'(x) = -sin(x) - 8.

2. Find the critical points by setting f'(x) equal to 0:

-sin(x) - 8 = 0.

3. Solve for x to find the critical points within the interval [0, 4]. The equation is difficult to solve algebraically, so we can use a numerical method or graphing calculator to approximate the solution. We find one critical point x ≈ 2.301.

4. Find the second derivative of the function:

f''(x) = -cos(x).

5. Evaluate the second derivative at the critical point

x ≈ 2.301: f''(2.301) ≈ -cos(2.301) ≈ -0.74.

6. Since f''(2.301) < 0, the second derivative test tells us that there is a relative maximum at the critical point x ≈ 2.301.

7. Check the endpoints of the interval [0, 4].

For x = 0, f(0) = cos(0) - 8(0) = 1.

For x = 4, f(4) = cos(4) - 8(4) ≈ -31.653.

The relative extrema of the function f(x) = cos(x) - 8x in the interval [0, 4] are as follows:

a relative maximum at x ≈ 2.301,

a global minimum at x = 4,

and no relative minimum.

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Performing a statistical test on a claim involves collecting and displaying relevant data, choosing appropriate statistical tests, and analyzing the results to verify or reject the claim. This process ensures a systematic approach to evaluating claims in a workplace.

Suppose you work in a manufacturing company that claims a new production method reduces the defect rate of a specific product. To test this claim, you would start by collecting data on the defect rates of both the old and new production methods. This data could be obtained by tracking the number of defects in a sample of products produced using each method over a specific time period.
Next, you would display the collected data in a meaningful way. This could involve creating tables or charts that show the defect rates for each production method. Visualizing the data can help identify any patterns or differences between the two methods.
To verify or reject the claim, you would apply appropriate statistical tests. In this scenario, you could use a hypothesis test, such as a two-sample t-test, to compare the means of the defect rates for the old and new production methods. This test would determine whether the observed differences in defect rates are statistically significant or simply due to chance.
After performing the statistical test, you would analyze the results. If the test shows a significant difference between the defect rates of the two methods, it would support the claim that the new production method reduces defects. Conversely, if the test does not reveal a significant difference, it would suggest that the new method does not have a noticeable impact on defect rates.
Finally, when turning in the report, you would include a detailed description of the data collection process, the statistical tests used, and the results obtained. The report should provide clear and concise conclusions based on the analysis, stating whether the claim is verified or rejected. Additionally, it is important to include any assumptions made during the analysis, potential limitations of the study, and suggestions for further investigation if applicable. The report should be well-organized, making it easy for readers to understand the process and the findings.

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Answer:

Step-by-step explanation::)

Answer:

five thousand clay to school

Answer:

b

Step-by-step explanation:

I know that it is b becuase everthing esle has a higher number and when it's higher more chance of getting a full number

The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.

Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.

Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.

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Answer:

the answer would be a % because of the divisibility rule

Answer:C=d/ab

Step-by-step explanation:

D=abc

D/ab=abc/ab (both side divided by ab)

Ab cancel by ab and c= d/ab remains

The solution of the given equation D = ABC for C will be D/(AB).

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

D = ABC

The value of the above equation for C will be as,

D = (AB)C

C = D/(AB)

Hence "The solution of the given equation D = ABC for C will be D/(AB)".

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Using the normal distribution, it is found that the relative frequency of classical CDs with playing time X between 49 and 69 minutes is 0.8403 = 84.03%.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 54, \sigma = 5\)

The relative frequency of classical CDs with playing time X between 49 and 69 minutes is the p-value of Z when X = 69 subtracted by the p-value of Z when X = 49, hence:

X = 69:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{69 - 54}{5}\)

Z = 3

Z = 3 has a p-value of 0.9987.

X = 49:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{49 - 54}{5}\)

Z = -1

Z = -1 has a p-value of 0.1584.

0.9987 - 0.1584 = 0.8403.

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Based on the decay of potassium-40 in the rock layers, the estimated age of the rock is approximately 1.4 billion years.

Potassium-40 has a half-life of 1.25 billion years, which means that after 1.25 billion years, half of the original amount of potassium-40 would have decayed. In this case, the scientist finds that the potassium-40 level has decayed to 93% of the original amount.

To estimate the age of the rock, we can use the concept of half-life. Since 93% of the original amount remains, we can deduce that two half-lives have occurred because each half-life reduces the amount by half.

If one half-life is 1.25 billion years, then two half-lives would be 2.5 billion years. However, since we are looking for the approximate age of the rock, we can divide this by 2 to get 1.25 billion years, which corresponds to one half-life.

Therefore, the estimated age of the rock is approximately 1.4 billion years (1.25 billion years + 0.25 billion years). It's important to note that this is an estimation and there may be some margin of error associated with it.

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There are no restrictions on the value of h for which b is in the plane spanned by a1 and a2

To determine if vector b is in the plane spanned by vectors a1 and a2, we need to see if there exist scalars c1 and c2 such that b = c1a1 + c2a2.

Let's set up this equation and solve for h:

b = c1a1 + c2a2

⇔

left bracket Start 3 By 1 Matrix 1st Row 1st Column 4 2nd Row 1st Column 8 3rd Row 1st Column h End Matrix right bracket

c1 * left bracket Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 4 3rd Row 1st Column −1 End Matrix right bracket

c2 * left bracket Start 3 By 1 Matrix 1st Row 1st Column −7 2nd Row 1st Column −24 3rd Row 1st Column 3 End Matrix right bracket

This gives us the system of equations:

c1 - 7c2 = 4

4c1 - 24c2 = 8

-c1 + 3c2 = h

We can solve this system using Gaussian elimination or another method to get:

c1 = -2h/5

c2 = -(3h + 20)/35

Now, we need to ensure that there exist values of c1 and c2 that satisfy these equations for any value of h. In other words, we need to make sure that the system of equations has a solution for any value of h.

One way to do this is to use the determinant of the coefficient matrix of the system. If the determinant is nonzero, then the system has a unique solution for any value of the constants on the right-hand side (in this case, the vector b).

The determinant of the coefficient matrix is:

left| Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column negative 7 3rd Column negative 1 2nd Row 1st Column 4 2nd Column negative 24 3rd Column 3 3rd Row 1st Column negative 1 2nd Column 3 3rd Column 0 End Matrix End| right| equals 100 \(\neq\) 0

Since the determinant is nonzero, there exists a unique solution for any value of b, and therefore a unique value of h that satisfies the system of equations.

Therefore, b is in the plane spanned by a1 and a2 for any value of h.

In other words, there are no restrictions on the value of h for which b is in the plane spanned by a1 and a2

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Answer:

2500

Step-by-step explanation:

brainliest please if its right

If E= Emily's homeroom class students, and S = Santiago's homeroom class students then

Answer:

Not all the means are equal.

Step-by-step explanation:

In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.

So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.

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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).

It establishes the relation that:

ESS + RSS = TSS.

If we reject the omnibus null hypothesis, then it means that:

at least one of the population means is different from at least one other population mean.

Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

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The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1

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

f(x) = 2^x + 1

g(x) = 3^x

The above expression is a system of exponential equations

We are required to solve by graph

That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system

Next, we plot the graph

See attachment for the graph of the equations

The ordered pairs of the intersection point is (1, 3)

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Answer:

one

Step-by-step explanation:

one equation

tanks Please brianlist

Answer:

48 / 4 = 12

use long division

       1 2

   4|48

     4 can fit into 4,  1 time

     4 can fit into 8,  2 times so you get 12

_______________________________

54 / 6 = 9

count how many times 6 goes into 54 witch is 9

_____________________________________________

plz mark me brainiest :)

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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Answer:

Step-by-step explanation:

183.75/ 24.5= m

7.5=m

Answer:

It took the submarine 7.5 minutes to reach that depth.

Step-by-step explanation:

To prove it all you have to do is divide 183.75 by 24.5

183.75 ÷ 24.5 = 7.5

And to check that then multiply 24.5 by 7.5

24.5 × 7.5 = 183.75

The value of dy/dx for the curve x=2te^(2t), y=e^(-8t) at point (0,1) is -4.

Given curve: x=2te^(2t), y=e^(-8t)

We have to find the value of dy/dx at the point (0,1).

Firstly, we need to find the derivative of x with respect to t using the product rule as follows:

\(x = 2te^(2t) ⇒ dx/dt = 2e^(2t) + 4te^(2t) ...(1)\)

Now, let's find the derivative of y with respect to t:

\(y = e^(-8t)⇒ dy/dt = -8e^(-8t) ...(2)\)

Next, we can find dy/dx using the formula: dy/dx = (dy/dt) / (dx/dt)We can substitute the values obtained in (1) and (2) into the formula above to obtain:

\(dy/dx = (-8e^(-8t)) / (2e^(2t) + 4te^(2t))\)

Now, at point (0,1), t = 0. We can substitute t=0 into the expression for dy/dx to obtain the exact value at this point:

\(dy/dx = (-8e^0) / (2e^(2(0)) + 4(0)e^(2(0))) = -8/2 = -4\)

Therefore, the value of dy/dx for the curve

\(x=2te^(2t), y=e^(-8t)\) at point (0,1) is -4.

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Answer:

10 seconds

Step-by-step explanation:

mark two points on the line the use the slope rule to calculate it you'll find it's -5 m/s

The answer is bellow, with all the steps

Answer:1700

Answer: An example is m³

Step-by-step explanation: Volume in a rectangular pool is length multiplied by width multiplied by height. Whatever the unit of these three parameters are, the volume will be raised to a cube. It it is metres, then volume will be m³