amelia needs to buy some cat food. at the nearest store, 5 bags of cat food cost $17.50. how much would amelia spend on 3 bags of cat food?

The number of his next 42 field goals the kicker will not make will be 35.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A kicker made 10 of his last 12 field goals.

Predict the number of his next 42 field goals the kicker will not make will be

Let x be the number of his next 42 field goals the kicker will not make.

Then we have

x / 10 ≠ 42 / 12

      x ≠ 35

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The solution to the coupled differential equations dx/dt= 2.x1 +x2 is x1 = t^2 + 2t and x2 = t^2, We can then integrate both sides of the equation to get the following: ln(2.x1 +x2) = t + c

To solve this set of differential equations, we can use the method of separation of variables. This method involves separating the variables in each equation so that they can be solved independently. In this case, we can separate the variables as follows: dx/(2.x1 +x2) = dt

We can then integrate both sides of the equation to get the following: ln(2.x1 +x2) = t + c

where c is an arbitrary constant. We can then exponentiate both sides of the equation to get the following 2.x1 +x2 = e^t.e^c

We can then substitute the initial conditions into this equation to get the following 2.x1 +x2 = e^t.1

where x1(0) = 0 and x2(0) = 0. This gives us the following solution for x1 and x2 x1 = t^2 + 2t and x2 = t^2

Here are some additional explanations:

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68.26% of students out of 500 would score between 68 and 82  if the mean is 75 and standard deviation is 7.

A low standard deviation suggests that values are often close to the mean (also known as the anticipated value) of the collection, whereas a large standard deviation suggests that values are dispersed over a wider range.

Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lower case Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.

Given,

Mean μ=75

σ=7

By using normal distribution,

P(68<x<82)=P(((68-μ)/σ)<z<((82-75)/7))

P(-1<z<1)

P(z<1)-P(z< -1)

By using z-table, we get

=0.8413-0.1587

=0.6826

P(68<x<82)=0.6826≈68.26

P(68<x<82)=68.26%

Therefore, 68.26% of students out of 500 would score between 68 and 82 if the mean is 75 and standard deviation is 7.

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answer:

c. 7.2

explanation:

on a number line, move the number 7.4 left to tenths. the result is 7.2.

Answer:

Brannock device or a ruler measuring from your heel to the longest toe

Step-by-step explanation:

Answer:

inches. i think. /: l

Step-by-step explanation:

Ages (in years) of a sample of retirement home inhabitants is option B. For the lowest wait time, the maximum frequency is anticipated to be right-skewed. A desert cannot have a maximum annual temperature of 60°F, and it is not conceivable to watch 60+ hours of TV in a single day.

Residents of senior living facilities are typically 84 years old. While there are many couples in these communities, the majority of people who live in independent living are women. Some people move in at or near the minimum age (often around 65), but most people do so between the ages of 75 and 84. Residents come from all different backgrounds.

Many people are choosing senior living in a community environment, including teachers, nurses, small business owners, big business CEOs, university professors, housewives, lawyers, engineers, musicians, and more. Current residents will attest that the rich diversity of origins fosters amazing interactions and relationships. And contrary to popular belief, the majority of residents of independent living are quite active.

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Correct Question:

Match the plot with a possible description of the sample.

60 70 80 90 100

Choose the correct answer below

A. Wait time (in minutes) for a sample of doctors offices

B. Ages (in years) of a sample of residents of a retirement home.

C. Highest yearly temperatures (F) for a sample of deserts.

D. Time (in hours_ spent watching TV in a day for a sample of teenagers.

The number of boxes that the delivery person can carry at a time is less than or equal to 15.

Given,

The weight of the delivery person = 160 lb

The weight of one box of books he carries = 60 lbs

The maximum capacity of the elevator = 1110 lb

We have to find the number of boxes of books can the delivery person bring up at one time;

Let x be the number of boxes;

Then,

The number of boxes that the delivery person can carry at a time;

160 + 60x ≤ 1110

60x ≤ 1110 - 160

x ≤ 950/60

x ≤ 15.8

That is,

The number of boxes that the delivery person can carry at a time is less than or equal to 15.

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Using the Limit Comparison Test, we will compare the given series with a simpler series, such as Σ1/k², since it has a similar dominant term. The given series is:

Σ(3k² + 7)/(k³ + 2), k = 1 to ∞
We can perform the Limit Comparison Test as follows:

Limit (as k→∞) of [(3k² + 7)/(k³ + 2)] / [1/k²] = Limit (as k→∞) of (3k⁴ + 7k²) / (k³ + 2)

Now, divide the numerator and denominator by k⁴:

Limit (as k→∞) of (3 + 7/k²) / (1/k + 2/k⁴) = 3

Since the limit is a finite non-zero value (3), the Limit Comparison Test shows that the given series converges.

The Limit Comparison Test can be used to determine whether a series converges or diverges. In this method, one series is compared to another series whose convergence or divergence is already known. The Limit Comparison Test states that if the limit of the ratio of the terms of the two series is a finite positive number,

then both series either converge or diverge.However, if the limit of the ratio is zero or infinity, then one series converges if the other diverges, and vice versa.Limit Comparison TestIn order to determine whether the series converges or diverges,

we will use the Limit Comparison Test. Let a = 1/k² + 2, and b = 1/k³. Then, we have\[ \lim_{k \to \infty} \frac{a_k}{b_k} = \lim_{k \to \infty} \frac{3k^2 + 7}{k^3 + 2} \cdot \frac{k^3}{1} = \lim_{k \to \infty} \frac{3k^5 + 7k^3}{k^6 + 2k^3}\].

Dividing the numerator and denominator by k³, we get\[ \lim_{k \to \infty} \frac{3 + \frac{7}{k^2}}{1 + \frac{2}{k^3}}\]Taking the limit as k approaches infinity, we get\[ \lim_{k \to \infty} \frac{3}{1} = 3 \]Since the limit is finite and positive, we can conclude that both series either converge or diverge.

Since we already know that the series\[ \sum_{k=1}^{\infty} \frac{1}{k^3}\]converges, we can conclude that the given series also converges. Therefore, the correct option is: The Limit Comparison Test with a shows that the series converges.

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The function f(x, y) = x^2 - 3xy + 4y^2 - 8y + C is the potential function that satisfies ∇f = F, where F = (2x - 3y) i + (-3x + 8y - 8) j.

To determine whether the vector field F = (2x - 3y) i + (-3x + 8y - 8) j is conservative, we need to check if the partial derivatives of a potential function f with respect to x and y match the components of F.

A vector field F is conservative if it satisfies the condition that the partial derivatives of a potential function f with respect to x and y match the components of F. We can determine this by calculating the partial derivatives and comparing them to the components of F.

Calculate the partial derivatives of a potential function f with respect to x and y: fx = 2x - 3y and fy = -3x + 8y - 8.

Compare the partial derivatives to the components of F:

Fx = 2x - 3y and Fy = -3x + 8y - 8.

If the partial derivatives fx and fy match the components of F, then F is conservative. In this case, the partial derivatives fx and fy are the same as the components of F, indicating that F is conservative.

To find the potential function f, integrate the components of F with respect to their corresponding variables:

f(x, y) = ∫ (2x - 3y) dx = x^2 - 3xy + g(y), and

f(x, y) = ∫ (-3x + 8y - 8) dy = -3xy + 4y^2 - 8y + h(x).

Combine the two integration results to get f(x, y): f(x, y) = x^2 - 3xy + 4y^2 - 8y + C, where C is the constant of integration.

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3 lemons

if you have to show your work 4 divided by 12 is 3

Answer:

3 per lemon used

Step-by-step explanation:

12 divided by 4 is 3 which would be 1 lemon

The only energy released as a result is equal to two ATP molecules. Organisms can turn glucose into carbon dioxide when oxygen is present. As much as 38 ATP molecules' worth of energy is released as a result.

Why do aerobic processes generate more ATP?

Anaerobic respiration is less effective than aerobic respiration and takes much longer to create ATP. This is so because the chemical processes that produce ATP make excellent use of oxygen as an electron acceptor.

How much ATP is utilized during aerobic exercise?

As a result, only energy equal to two Molecules of ATP is released. When oxygen is present, organisms can convert glucose to carbon dioxide. The outcome is the release of energy equivalent to up of 38 ATP molecules. Therefore, compared to anaerobic respiration, aerobic respiration produces a large amount more energy.

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Answer:

179

Step-by-step explanation:

5a+ 4b^2

Use PEMDAS:

P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction

5(7) + 4(6)^2 = 5(7) + 4(36) = 35 + 144 = 179

6^2 = 6 x 6 = 36

5 x 7 = 35

4 x 36 = 144

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Answer:

the width is 360 ft

Step-by-step explanation:

The computation of the width of the flag is shown below:

Let us assume the width be x

So the length would be x + 340

And, the perimeter is 2,120 ft

So the formula is

Perimeter = 2(length + width)

2,120 = 2(x + 340 + x)

2,120 = 2x + 680 +  2x

2,120 = 4x + 680

4x = 2,120 - 680

x = 360

hence, the width is 360 ft

In order for the sequence of matrices Ak XAk-1 to approach the zero matrix as k approaches infinity. Among the given matrices, the matrix that satisfies this condition will have Ak converging to the zero matrix.

The given statement suggests that the sequence Ak XAk-1 tends to approach the zero matrix as k approaches infinity. This convergence occurs if and only if every eigenvalue (λ) of the matrix X has an absolute value less than one.

The absolute value of an eigenvalue represents the magnitude of the corresponding eigenvector, and if all eigenvalues have values less than one, the influence of each eigenvector decreases exponentially as k increases. This results in the convergence of Ak towards the zero matrix.

To identify the matrix for which Ak converges to the zero matrix, we need to examine the eigenvalues of each matrix in the given options. If all eigenvalues of a matrix have absolute values less than one, that matrix satisfies the condition and will have Ak approaching the zero matrix as k tends to infinity.

Complete Question:

Ak XAkX-1 approaches the zero matrix as k oo if and only if every λ has absolute value less than-. Which of these matrices has Ak → 0?

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The true statement about the graph from the attached image below is: The material's temperature reaches a minimum at 15 hours.

The parabolic graph is a curved U-shaped graph that is established from a quadratic equation.

The parabola of the graph can be downward creating a maximum or upward (minimum).

From the given image, the correct interpretation shows that as a result of cryogenic treatment, the material's temperature reaches a minimum at 15 hours.

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Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together

Volume is calculated in units cubed because it is a measure of how much three-dimensional space an object occupies.

Volume = Length×Width×Height

=3×3×3

=27 cubic units

Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together.

This is why it is usually represented in units cubed.

Hence, Volume is the amount of space an object takes up, and is calculated by multiplying the object's length, width, and height together

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Answer:

0

Step-by-step explanation:

We can use the formula change in y divided by change in x for this, so for example we can take the points (6, 2) and (3, 2).

The change in y would be 2 - 2 = 0.

The change in x would be 3 - 6 = -3

Chang in y divided by change in x = 0/-3 = 0.

Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

\(\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y\)

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

1.16x = 2y + 34

but x = (15/7)y

\(1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm\)

The nephews new height = 2y = 2(70) = 140 cm

Keith new height = 2y + 34 = 140 + 34 = 174 cm

Their total current height = 140 cm + 174 cm = 314 cm

Answer: \(35x+9\leq 310,\ 8\)

Step-by-step explanation:

Given

A group of friends has $310 to spend

Parking costs $9 and ticket cost $35 per person

Suppose  there are x friends who go to amusement park

So, the cost of tickets and parking must be less than or equal to $310

\(\Rightarrow 35x+9\leq 310\\\text{Subtract 9 from both sides}\\\Rightarrow 35x\leq 301\\\text{Divide both sides by 35}\\\Rightarrow x\leq 8.6\)

This indicates that there sholud be maximum 8 persons who can go to amusement park with this much money.

Answer:

c = 13

Step-by-step explanation:

1. Pythagorean theorem states that c^2 = a^2 + b^2

2. In this case, a = 5, b = 12. Therefore, the equation is:

c^2 = 5^2 + 12^2

3. c^2 = 25+144 = 169

4. square root both sides

5. c = 13, c = -13

6. c = 13 since a length cannot be negative.

7. Final answer: C = 13

Rounding off to two decimal places, the selling price of organic bananas is $2.12/kg.

The selling price of non-organic bananas can be determined as follows:

Selling Price of Non-Organic Bananas = Cost of Non-Organic Bananas + MarkupAmount of Non-Organic BananasMarkup of Non-Organic Bananas = 55% * Cost of Non-Organic Bananas = 55/100 * $0.81/kg = $0.45/kg

Cost of Non-Organic Bananas = $0.81/kg

Therefore, Selling Price of Non-Organic Bananas = $0.81/kg + $0.45/kg = $1.26/kg

Rounding off to two decimal places, the selling price of non-organic bananas is $1.26/kg.

The selling price of organic bananas can be determined as follows:

Selling Price of Organic Bananas = Cost of Organic Bananas + MarkupAmount of Organic Bananas Markup of Organic Bananas = 75% * Cost of Organic Bananas = 75/100 * $1.21/kg = $0.91/kg

Cost of Organic Bananas = $1.21/kg

Therefore, Selling Price of Organic Bananas = $1.21/kg + $0.91/kg = $2.12/kg

Rounding off to two decimal places, the selling price of organic bananas is $2.12/kg.

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Answer:it would be $6

Answer:

D. 0.77

Step-by-step explanation:

Jonas builds a snow fort. He tells his friends it is 0.8 meters tall inside, but he rounded the height to the nearest tenth. Which could be the height of the snow fort before Jonas rounded it?

Check all options by rounding to the nearest tenth

A. 0.89 m

= 0.9 m

B. 0.74 m

= 0.7 m

C. 0.85

= 0.9 m

D. 0.77

= 0.8 m

Note: Digits 0 - 4 are rounded down while digits 5 - 9 are rounded up

Rounding to the nearest tenth means having one digits after the decimal point

Answer:

C' = (-6 , -6)

D' = ( -9 , -6)

Step-by-step explanation:

scale factor of 3

multiply the points you have by 3

(x,y) * 3

the new values for c' and d' are below

c' = (-2, -2) * 3

c' = (-6,-6)

d' = (-3,-2) *3

d' = (-9,-6)

The realtor earned $9,375 in commission for selling two homes for a total of $750,000.

A sales commission is money provided to an employee for completing a task, typically selling a specified number of products or services. A commission can be paid in addition to or in place of a wage.

A sales commission is a percentage of a sale's value that a sales associate or sales representative can receive. Variable expenses include the cost of items sold, credit card fees, shipping charges, and any sales commission you pay to sales personnel.

Whatever income a sales person generates is multiplied by the commission rate to determine the commission amount. It's simple: if you sell a $2,000 product, you earn 10%, or $200.

The realtor earned a commission of 1.25% of $750,000, which can be calculated as follows:

$750,000 * 1.25% = $9,375

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Answer

The median is 155

Step-by-step explanation:

You get the numbers from least to greatest then the middle number is your median.