How many dollars will Ms. Davis have saved after 30 weeks?

Ms. Davis has $54.50 saved

• She will save $33.25 each week for the next 30 weeks

• She will not spend any of the money

Enter your response here:

The value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°

What is an angle?

An angle is formed when two lines meets at the same vertex. It is measured by degree. Based on the measurements angles are of three types.

Consider POR as a triangle.

Given that m∠p=5x-14, m∠q=x-5, m∠r=2x-9.

In triangle the sum of the angle is 180°, then

m∠p + m∠q +m∠r =180°

⇒5x-14+x-5+2x-9 = 180°

⇒8x-28=180°

⇒x=26°

then, m∠p=5x-14 = 5(26)-14 = 116°

m∠q=x-5 = 26-5=21°

m∠r=2x-9 = 2(26)-9=43°

Hence, the value of x =26°, m∠p =116°, m∠q=21°, m∠r=43°

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Answer:

As a doctor, you witniss pain and death on a daily basis (which can be tramatic). You also have peoples lives put in your hands, and if you fail them you must answer their legal caretakers and or family. Also lawyers in some cases. Law can be a con of being a doctor. It is easy to get a lawsuit against yourself in that job category. But the pros (good things) are that the pay is well, and if all goes right you get to save lives for a living. This job is also deemed a sophisticated one by most, gaining you scholarships, respect, etcetera.

Using the information provided, it appears that your neighbor will not save money by picking up the soil himself as its total cost is $103.86 as opposed to cost of delivery $30.

Here is a detailed breakdown of the calculations and assumptions made:

The area of the yard is estimated to be around 7,200 sq.ft. Assuming a 4 inch layer of topsoil, this requires 4 cubic yards (1 cubic yard = 27 cubic feet).

The cost of the soil delivery is $30 per truckload (up to 18 cubic yards). So the delivery cost for 4 cubic yards of soil would be $30.

The cost of topsoil per cubic yard is $18. Thus, the total cost of the topsoil is $72.

The weight of topsoil is 2000 pounds per cubic yard, so the total weight of the soil is 8,000 pounds (4 cubic yards x 2000 pounds).

The pickup truck's payload capacity is 1800 pounds, so the truck can only transport 1/4 of the total weight of the soil (1800/8000 = 0.225). Thus, it would require 4 trips to transport the soil, and the total trip distance is 36 miles (9 miles x 4 trips).

The truck gets 17 miles per gallon, so it would require 2.1 gallons of gas for each trip (36 miles/17 mpg = 2.12). The total amount of gas needed for the 4 trips is 8.4 gallons (2.1 gallons x 4 trips). The cost of gas per gallon is assumed to be $3.79, so the total cost of gas for the 4 trips is $31.86.

Thus, the total cost of picking up the soil himself is $31.86 + $72 = $103.86. This is higher than the cost of delivery which is only $30, so it would be better to pay for delivery.

To conclude, your neighbor will not save money by picking up the soil himself, and it is recommended that he pays for delivery.

Note: The question is incomplete. The complete question probably is: He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this. Here is (most of) the information you asked for:

Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery? Detail all your assumptions and calculations, and clearly write out your final conclusions.

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The temperature approaches the steady-state solution:

\(u(x, y, t) = A_{00}\).

To solve the initial value problem, we begin by assuming a solution of the form u(x, y, t) = X(x)Y(y)T(t). Plugging this into the heat equation, we obtain:

X(x)Y(y)T'(t) = k(X''(x)Y(y) + X(x)Y''(y))T(t)

Dividing both sides by k X(x)Y(y)T(t), we get:

1/T'(t) = (X''(x)/X(x) + Y''(y)/Y(y))/k

Since the left-hand side depends only on t and the right-hand side depends only on x and y, both sides must be equal to a constant, which we denote by \(-\lambda^2\):

\(1/T'(t) = -\lambda^2\)

\(X''(x)/X(x) + Y''(y)/Y(y) = -\lambda^2k\)

Solving for X(x) and Y(y) separately, we obtain:

X(x) = A \(cos(n\pi x/L)\) (n=1,2,3,...)

Y(y) = B cos(\(m\pi y/H\)) (m=1,2,3,...)

Here A and B are constants determined by the initial condition u(x, y, 0) = f(x, y), and n and m are integers.

Substituting these expressions into the previous equation and simplifying, we obtain:

\(T'(t) + \lambda^2kT(t) = 0\)

The solution to this differential equation is:

\(T(t) = C exp(-\lambda^2kt)\)

Here C is a constant determined by the initial condition u(x, y, 0) = f(x, y). Therefore, the general solution to the heat equation is:

\(u(x, y, t) = \sum A_{nm} cos(n\pi x/L)\cos(m\pi y/H)\exp(-\lambda^2knt)\)

where the sum is over all integers n and m, and \(A_{nm}\) are constants determined by the initial condition u(x, y, 0) = f(x, y).

For the boundary conditions (a), we have:

u(0, y, t) = 0

u(L, y, t) = 0

u(x, 0, t) = 0

u(x, H, t) = 0

These are homogeneous Dirichlet boundary conditions, which imply that the Fourier series of u(x, y, t) has only sine and cosine terms, with the coefficients of the sine terms being zero due to the even symmetry of the problem.

Therefore, we have:

\(u(x, y, t) = \sum A_{nm} cos(n\pi x/L)\cos(m\pi y/H)\exp(-\pi ^2knt)\)

where the sum is over all even integers n and m, and \(A_{nm}\) are constants determined by the initial condition u(x, y, 0) = f(x, y).

The constant \(\lambda^2\) is determined by the boundary conditions and is given by:

\(\lambda^2 = (n\pi /L)^2 + (m\pi /H)^2\)

As t approaches infinity, the exponential term \(exp(-\lambda^2knt)\) goes to zero for all values of n and m except n=m=0, which gives λ=0.

Therefore, the temperature approaches the steady-state solution:

\(u(x, y, t) = A_{00}\)

where \(A_{00}\) is the constant determined by the initial condition u(x, y, 0) = f(x, y).

For the boundary conditions (b), we have:

partial differential u/partial differential x (0, y, t) = 0

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The symbol used to denote the f-value having area is the F-statistic or F-value. This is typically represented by the letter "F" followed by specific subscript values.

The F-statistic is a ratio of two variances that follows an F-distribution when the null hypothesis is true. It is used in various statistical tests, such as the analysis of variance (ANOVA), to compare the means of different groups. Here's a step-by-step explanation:

1. Calculate the variances: For each group, find the variance (the average of the squared differences from the mean). The larger variance will be placed in the numerator, while the smaller variance will be placed in the denominator.

2. Compute the F-statistic: Divide the larger variance by the smaller variance. This results in the F-value, which follows an F-distribution.

3. Determine the degrees of freedom: The degrees of freedom (df) for the numerator and denominator are determined based on the sample sizes of the groups being compared. The numerator df is equal to the number of groups minus one, while the denominator df is equal to the total number of observations minus the number of groups.

4. Consult the F-distribution table: With the calculated F-value and degrees of freedom, you can consult an F-distribution table to determine the critical value or the p-value.

5. Make a decision: Compare the calculated F-value to the critical value or the p-value to the significance level. If the F-value is greater than the critical value or the p-value is less than the significance level, you can reject the null hypothesis, indicating that there is a significant difference between the group means.

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Answer:

17.5

plsss mark brainliestt

Step-by-step explanation:

10÷4=2.5

7×2.5=17.5

Answer:

4/7=10/x

or, 4×x=10×7

or, 4x=70

or, x = 70/4

or, x = 17.5

Thus, x is 17.5

Answer:

You can use the formula 500 * 1.03^x to solve for any year.

year 4 is 500 * 1.03^(4) = 562.75

year 6 is 500 * 1.03^(6) = 597.03

Year 7 is 500 * 1.03^(7) = 614.94

Step-by-step explanation:

The amount is increasing, and there are two main ways for that to happen.  Addition and multiplication.  So let's see if it keeps getting the same amount added or multiplied.  

0 to 1 goes from 500 to 515, so 15 is added.  but 15.45 is added from 1 to 2, so we can't just do simple addition.

using multiplication 0 to 1 has 1.03 multiplied.  if you multiply by it again you do get 530.45, so we have established what is happening.  

You can use the formula 500 * 1.03^x to solve for any year.

so year 4 is 500 * 1.03^(4) = 562.75

year 6 is 500 * 1.03^(6) = 597.03

Year 7 is 500 * 1.03^(7) = 614.94

Through the unitary method, we get that 8000 tons of petrochemicals are required to produce 5,000 tons of plastic.

A problem can be solved using the unitary method by first determining the value of a single unit, and then multiplying that value to determine the required value.

Given :

160,000 tons of petrochemicals are required to produce 100,000 tons of plastic.

160,000 tons of petrochemicals produces = 100,000 tons of plastic.

To produce 1 ton of plastic, the required amount of petrochemicals = \(\frac{160,000}{100,000} = \frac{8}{5}\) tons...........equation (1)

Let x be the tons of petrochemicals required to produce 5,000 tons of plastic.

Multiplying 5,000 tons on both sides of the equation, we get :

To produce 5,000 tons of plastic =\(\frac{8}{5}*5000 = 8000\) tons of petrochemicals

Hence, 8000 tons of petrochemicals are required to produce 5,000 tons of plastic.

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The angle between the planes is given by:

\($$\theta =\cos^{-1} \frac{13}{\sqrt{3} \sqrt{19}}\approx \boxed{31.7}^\circ$$\)

Given that the two planes are given by the equations:

x+y+z=2 and  x+3y+3z=2.

To find the parametric equations for the line of intersection of the planes and the angle between the planes, we can use the following steps:

(a) To find the parametric equations for the line of intersection of the planes, we need to solve the equations

x+y+z=2 and x+3y+3z=2.

Subtracting the first equation from the second gives:

2y+2z=0, which simplifies to y+z=0.

We can then substitute this into either of the original equations to get x=-y-2z.

Hence the line of intersection has parametric equations:

\($$\begin{aligned} x&=-y-2z\\ y&=y\\ z&=z \end{aligned}$$or in vector form,$$\begin{pmatrix}x \\y \\z\end{pmatrix}=\begin{pmatrix}-t \\t \\0\end{pmatrix}+\begin{pmatrix}-2s \\0 \\s\end{pmatrix}$$\)

where s, t are parameters.

(b) To find the angle in degrees between the planes, we first find the normal vectors of the planes.

The normal vector to x+y+z=2 is

\($\mathbf{n_1}=\begin{pmatrix}1 \\1 \\1\end{pmatrix}$\)

and the normal vector to x+3y+3z=2 is

\($\mathbf{n_2}=\begin{pmatrix}1 \\3 \\3\end{pmatrix}$\)

The angle between two planes is given by the formula:

\($$\cos \theta =\frac{\mathbf{n_1} \cdot \mathbf{n_2}}{\|\mathbf{n_1}\| \|\mathbf{n_2}\|}$$\)

Substituting the values, we get:

\($$\cos \theta =\frac{\begin{pmatrix}1 \\1 \\1\end{pmatrix} \cdot \begin{pmatrix}1 \\3 \\3\end{pmatrix}}{\|\begin{pmatrix}1 \\1 \\1\end{pmatrix}\| \|\begin{pmatrix}1 \\3 \\3\end{pmatrix}\|}=\frac{13}{\sqrt{3} \sqrt{19}}$$\)

Hence, the angle between the planes is given by:

\($$\theta =\cos^{-1} \frac{13}{\sqrt{3} \sqrt{19}}\approx \boxed{31.7}^\circ$$\)

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Answer:

-0.86602540378

Step-by-step explanation:

I used the cosine calculator.

In radians it is:

\(\frac{5\pi }{6}\)

according to the unit circle it is:

\(-\frac{\sqrt{3} }{2}\)

The answer in decimal form is:

0.69925080647

The tangent ratio is used to solve for a missing angle in a right triangle by dividing the length of the side opposite the angle by the length of the side adjacent to the angle.

Using the tangent ratio, we can find a missing angle in a right triangle by taking the inverse tangent (arctan) of the ratio. For example, if we know the length of the side opposite an angle and the length of the side adjacent to the angle, we can use the tangent ratio to find the value of the angle.

Using the cotangent ratio, we can also find a missing angle in a right triangle by taking the inverse cotangent (arccot) of the ratio. If we know the length of the side adjacent to an angle and the length of the side opposite the angle, we can use the cotangent ratio to find the value of the angle.

The main difference between using the tangent ratio and the cotangent ratio is the order of the sides in the ratio. The tangent ratio involves the opposite side divided by the adjacent side, while the cotangent ratio involves the adjacent side divided by the opposite side.

Both the tangent and cotangent ratios are useful tools for solving right triangles and finding missing angles. The choice between using one or the other depends on the given information and the specific problem at hand.

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Answer:

980

Step-by-step explanation:

if you do 70×14 would equal 980

Answer:

It will take 37.5 minutes for both containers to reach the same amount of water which is 1050 mL

Step-by-step explanation:

1500 - (12 × 37.5) = 1050

600 + (12 × 37.5) = 1050

Answer:

7 because to get the mean it has to be in the middle which comes down to the Number 9 package so that means the the 8th package has to be 7 pounds

Step-by-step explanation:

The number of units in the length of AB is  56  units by using the concept of midpoint and the whole length is twice the length of half.

Answer:

$6.75

Step-by-step explanation:

1: In this explanation, let's let one watermelon be w, and one orange be o.

2: From the passage, 1w + 5o = $11.

3: Also from the passage, 3w + 5o = $24.50

4: We can then use a simultaneous equation to work them out - both equations we have use 5 oranges.

3w + 5o = 24.5 (equation 1)

1w + 5o = 11 (equation 2)

5: We can now take the second equation away from the first :

3w - 1w = 2w, 5o - 5o = 0, 24.5 - 11 = 13.5

Now we know 2w = 13.5

6: If 2w = $13.50, one watermelon will be half of that, so $6.75

Hope this helps, let me know if you have any further questions :)

Answer:

B=28

Step-by-step explanation:

Answer: 1.8125 gallons = 29 cups

Step-by-step explanation:

There are 16 cups in a gallon. Therefore, to convert gallons to cups we multiply the number of gallons by 16.

The number of gallons, in this case, is: 1.8125

So, we need to multiply 1.8125 by 16

1.8125 ⋅ 16 = 29

In the final analysis, 1.8125 gallons is equal to 29 cups.

,  Hope this helps :)

Have a great day!!

Answer:

174 square inches

Step-by-step explanation:

5 times 3 is 15, multiply 15 by two. We get 30. Keep this in mind. Now, multiply 9 by 3. This is 27. Multiply 27 by two to get 54. Also keep this in mind. Now, multiply 5 by 9 to get 45. Multiply 45 by 2 to get 90. Now, add all of the bold numbers together to get your answer.

30+90+54

120+54

174

Answer:

2/3

Step-by-step explanation:

5/6*4/5=20/30

20/30 divided by ten equals 2/3

the answer is 2/3

Answer:

I'm not sure if you included an extra x so I'm including two answers with the work.

The answers are 4 x^ 2  y and 4 x y.

Step-by-step explanation:

Answer:

The answer is 4xy

Step-by-step explanation:

Rewrite the division as a fraction.

\(\frac{2x⋅(5y-y) }{2}\)

Cancel the common factor of  2.

x ⋅ (5y - y)

Subtract y from 5y.

x ⋅ (4y)

Rewrite using the commutative property of multiplication.

4xy

I hope this helps.

The probability that Robert takes one white and one purple sticker is 3/40.

We have,

To calculate the probability of Robert taking one white and one purple sticker, we can use the multiplication rule of probability.

The probability of taking a white sticker from pack A = 6/10.

The probability of taking a purple sticker from pack B = 3/12.

Since the two events are independent, we can multiply these probabilities to get:

P(white from A and purple from B) = (6/10) x (3/12) = 9/120

Simplifying this fraction gives:

P(white and purple) = 3/40

Therefore,

The probability that Robert takes one white and one purple sticker is 3/40.

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Answer:

B = 3.75t

Step-by-step explanation:

Given;

initial charge of Arianna's phone = 45%

the charge remaining in Arianna battery = 15%

If after 4hours of leaving her house, the battery had 15% remaining battery life, then the battery is discharging at the rate of ( 15% / 4hours) 3.75% per hour.

Thus, the charge remaining in Arianna's battery after she left her house is given by;

B = 3.75t

where;

t is time in hours

B is the percentage of charge remaining

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

c. Linear regression could be appropriate if a scatter plot shows a linear relationship between exam scores and hours studied.

The best response in this scenario is option c. Linear regression is a statistical method used to model and predict relationships between variables. In this case, the correlation coefficient of 0.62 suggests a moderate positive linear relationship between exam scores and hours studied. However, it is important to visually inspect the scatter plot of the data to confirm if a linear relationship is present. If the scatter plot shows a clear linear pattern, then linear regression can be an appropriate method to predict the score of a student who has studied 10 hours for the final exam.

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True. It is possible for a small treatment effect to still be statistically significant if the sample size is large enough.

We have,

Statistical significance is determined by the p-value, which measures the probability of obtaining the observed results if the null hypothesis (no difference between groups) is true.

A small treatment effect may still produce a low p-value if the sample size is large enough to detect even small differences.

However, the clinical significance of the treatment effect should also be considered in addition to statistical significance.

Thus,

It is possible for a small treatment effect to still be statistically significant if the sample size is large enough.

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