Karen has bought 24 pounds of dog food. She feeds her dog 3/4 pounds for each meal. For how many meals will the food last? How do you solve this? I forgot.

Answer:

21 feet

Step-by-step explanation:

It increases by a rate of 2.33333333,we know this by doing 14 divided by 6. 9 x 2.33333333 is 21

(although this might be incorrect)

Answer:

21 feet

Step-by-step explanation:

Ratio between height and distance from point on ground :

Taking ratio between x and  14 :

Therefore, the directional derivative of f at P in the direction of pq is 4/√17.

What is Directional Derivative?

The directional derivative is the rate at which any function changes at any particular point in a fixed direction. It is the vector form of any derivative. It characterizes the instantaneous speed of function modification. It generalizes the view of the partial derivative.

Theorem 13.9 states that the directional derivative of a function f(x,y) at a point P in the direction of a unit vector u = ai + bj is given by the dot product of the gradient of f at P and u, i.e., D_uf(P) = ∇f(P) · u.

First, let's find the gradient ∇f of the given function f(x,y) = e^(8y)sin(x):

∂f/∂x = e^(8y)cos(x)

∂f/∂y = 8e^(8y)sin(x)

So, ∇f = <∂f/∂x, ∂f/∂y> = <e^(8y)cos(x), 8e^(8y)sin(x)>

At point P(0,0), ∇f(P) = <1,0>

The direction of pq is given by the unit vector u = <4-0, 1-0>/sqrt((4-0)^2 + (1-0)^2) = <4/√17, 1/√17>

Now, we can find the directional derivative of f at P in the direction of pq as:

D_uf(P) = ∇f(P) · u = <1,0> · <4/√17, 1/√17> = 4/√17

Therefore, the directional derivative of f at P in the direction of pq is 4/√17.

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Answer:

Obtuse

Step-by-step explanation:

square the 2 smaller side lengths.  10^2+11^2= 221.  If you square the longer side length, you get 225.  15^=225.  

An acute triangle is when the 2 smaller side lengths are greater

A right triangle is when the 2 smaller side lengths are equal

An obtuse triangle is when the 2 smaller side lengths are less.

221 is less than 225, making it obtuse.

Answer:

SCALENE TRIANGLE

Step-by-step explanation:

the given differential equation provides a particular solution for x, while the second equation represents the general solution for Y. By solving the equations, we can obtain specific values for x and determine the range of solutions for Y.

To find the particular solution of the first equation, we need to solve the differential equation for x. Since the equation involves the operator (D-4)^3, we need to find a function that, when differentiated three times and subtracted from four times itself, yields 15x^2e^(2x). This involves finding a particular solution that satisfies the given equation.

On the other hand, the second equation (D^2 - 3D + 2)Y = cos(ex) represents a general solution. It is a second-order linear homogeneous differential equation, where Y is the unknown function. By solving this equation, we can obtain the general solution for Y, which includes all possible solutions to the equation. The general solution would involve finding the roots of the characteristic equation associated with the differential equation and using them to construct the solution in terms of exponential functions.

In summary, the given differential equation provides a particular solution for x, while the second equation represents the general solution for Y. By solving the equations, we can obtain specific values for x and determine the range of solutions for Y.

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The total area of the quadrilateral is 70 cm²

The quadrilateral is divided into two right triangles.

First we can find the length of EG, the dased line, it is the hypotenuse of triangle EGH, using the Pythagorean theorem we will get:

EG² = (11cm)² + (8cm)²

EG = √((11cm)² + (8cm)²) = 13.6 cm

Now, the area of a triangle of base b and height h is:

a = b*h/2

Then the area of the triangle in the left is:

a = 8cm*11cm/2 = 44cm²

For the other triangle, EFG, we need the height, which is EF.

Again using the same theorem we can write:

EF² + FG² = EG²

REplacing what we know:

EF² + (4cm)² = (13.6 cm)²

EF = √( (13.6 cm)² - (4cm)²) = 13cm

Then the area of this triangle is:

a' = 13cm*4cm/2 = 26cm²

And the total area is:

44cm² + 26cm² = 70 cm²

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Answer:

89 dollars

Step-by-step explanation:

47 and 53 cents make one dollar together. 12 dollars and 76 dollars make 88 dollars. 1+88=89

Answer:

$89

Step-by-step explanation:

Money that Tyler returned with = $12.47

Money spent on groceries = $76.53

And to find the total money he had at the beginning , add the left amount with the amount he spent . Hence here ,

\(\sf\longrightarrow Money_{total}= \$12.47+\$76.53\\\)

\(\sf\longrightarrow \underline{\boxed{\bf Money_{total}= \$\ 89 }}\)

Hence he had $89 at the beginning .

I hope this helps .

Answer:
1. f is increasing on the intervals = (0, ∞).
2. f is decreasing on the intervals = (-∞, 0).
3. The relative maxima of f occur at x = none.
4. The relative minima of f occur at x = 0.

let's first find the critical points by taking the derivative of the function \(f(x)=8x^{3}-1\),  and then analyzing the intervals of increase and decrease.

1. Find the derivative, f'(x):
\(f'(x)=24x^{2}\)

2. Set f'(x) = 0 to find critical points:
\(24x^{2} = 0\)
x = 0

3. Analyze intervals:

- f'(x) > 0 (increasing) when x > 0
- f'(x) < 0 (decreasing) when x < 0

Now we can fill in the blanks:

1. f is increasing on the intervals = (0, ∞).
2. f is decreasing on the intervals = (-∞, 0).
3. The relative maxima of f occur at x = none.
4. The relative minima of f occur at x = 0.

Your answer:
1. f is increasing on the intervals = (0, ∞).
2. f is decreasing on the intervals = (-∞, 0).
3. The relative maxima of f occur at x = none.
4. The relative minima of f occur at x = 0.

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Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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1.0 is the mean of the variable x

The mean or expected value is defined as the predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.

Given :

x|  0      1     2      

p| 0.2 0.6  0.2

The expected value of x, E(x) =Σ xp

where x = number of classes and p = probability

E(x) = (0×0.2) + (1×0.6) + (2×0.2)

E(x) = 0 + 0.6 + 0.4

E(x) =  1.0

Therefore, the mean of the variable x is 1.0

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There are 18 seasons and the number of different line-ups the team can make is 24310

A) We are given the team has 17 players and there are 9 different positions in the team.

This is a combination question and thus, the number of different line-ups the team can make is;

C(17, 9) = 24310

B) We are told the basketball games consist of 9 innings.

Thus,

Number of games you can fill = 24310/9 = 2701.1111

And then we are told a season consists of 147 games.

Thus;

The number of complete seasons can the team play without repeating a line-up = 2701.1111/147 ≈ 18 seasons.

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Answer: 15

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so:

\(3x+25+6x+20=180\\\\9x+45=180\\\\9x=135\\\\x=\boxed{15}\)

Answer:

0.04

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

i looked it up to be sure but if wrong very sorry.

Step-by-step explanation: 5

Answer:

The slope is 1/3 and the y intercept is 6

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

3y -x =18

Add x to each side

3y = x+18

Divide each side by 3

3y/3 = x/3 +18/3

y = 1/3x +6

The slope is 1/3 and the y intercept is 6

We need to solve for y (y = mx + b):

3y - x = 18

~Add x to both sides

3y = 18 + x

~Divide 3 to everything

y = 6 + x/3 or y = 6 + 1/3/x

So... 1/3 is the slope and 6 is the y-intercept.

Best of Luck!

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).

1: Identify the given data

Sample size (n) = 150 students

Sample mean (x) = 2.86

Population standard deviation (σ) = 0.78

Confidence level = 98%

2: Find the critical z-value (z*) for a 98% confidence level

Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).

3: Calculate the standard error (SE)

SE = σ / √n

SE = 0.78 / √150 ≈ 0.064

4: Calculate the margin of error (ME)

ME = z* × SE

ME = 2.33 × 0.064 ≈ 0.149

5: Construct the confidence interval

Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711

Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009

The 98% confidence interval is approximately (2.711, 3.009).

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Answer:

0,5                    b

Step-by-step explanation:

\(answer = 6 + 2b\\ solution \\ length = 3 \: m \\ breadth = b \: m \\ perimeter \: of \: rectangle = 2(l + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(3 + b) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 3 + 2 \times b \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 + 2b \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

The perimeter of the rectangle is P = 6 + 2b, where b is the width.

Given data:

To find the perimeter of a rectangle, we add the lengths of all its sides. In this case, the rectangle is 3 meters long and b meters broad.

The perimeter is calculated as follows:

Perimeter = 2 × (length + breadth)

Given that the length is 3 meters and the breadth is b meters, substitute these values into the formula:

Perimeter = 2 × (3 + b)

Simplifying the expression,

Perimeter = 6 + 2b

Hence, the perimeter of the rectangle is 6 + 2b meters.

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Answer:

uahabsihsb

Step-by-step explanation:

Answer:

A, 1.8796

Step-by-step explanation:

First, convert everything to inches

6 × 12 = 72

72 + 2 = 74

Now, we convert the inches to centimeters

2.54 × 74 = 187.96

Next, we convert to meters

187.96 ÷ 100 = 1.8796

So, your answer would be A, 1.8796 meters

Have a great day!

Answer:

4x^3+6x^2-15x+6

Step-by-step explanation:

Answer:

\(4x^2 + 6x^2 - 15x + 5\)

Step-by-step explanation:

Hello!

We can add like terms.

The terms that we see here are \(x^3, x^2, x,\) and integer values.

We can combine like terms by adding the coefficients.

Order: Highest degree to lowest degree. The final expression is \(4x^2 + 6x^2 - 15x + 5\)

Answer:

Step-by-step explanation:

Then, the total time, which is 2 hours, is equal to x plus 7x, or 8x. So the amount of time he spends in the automobile is x=1/4 hour. The distance he travels in 1/4 hour at 28 mph is 7 miles.

pls mark brainliest

The amount of Gatorade that Marcus would drink while walking 12 miles depends on several factors such as his personal preference, level of exertion, and the weather conditions.

However, a general rule of thumb is to drink about 8 ounces of fluid (water or sports drink) for every 20 minutes of exercise. If we assume that Marcus takes about 2 hours to walk 12 miles, he would be walking for 120 minutes, and he would need to drink about 48 ounces (8 ounces x 6 cycles of 20 minutes) of fluid during his walk. Therefore, Marcus would drink about 48 ounces of Gatorade (or any other fluid) during his 12-mile walk.

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Let x represent the original cost of one shirt. The equation is 5x - 47.50 = 0, which can be solved to find that x = $9.50.

Gina was shopping and saw a t-shirt she liked, but couldn't decide which color to buy. The clerk offered to reduce the price by $2.50 per shirt if Gina bought more than one. She decided to purchase 5 shirts in different colors and the total cost of all 5 shirts was $47.50. To find the original cost of one shirt before the discount, we can set up an equation. Let x represent the original cost of one shirt. The equation would be 5x - 47.50 = 0, since the total cost of the 5 shirts was $47.50. When this equation is solved, x = $9.50, which is the original cost of one shirt before the discount. Therefore, the total cost of all 5 shirts was reduced by $2.50 for each shirt, from $9.50 to $7.00.

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Answer:

18°

Step-by-step explanation:

Complementary angles always add up to 90°.

Hence, the complementary angle of angle PQR

= 90°-72°

= 18°

Answer:

x = 1/3

Step-by-step explanation:

To solve the equation 9x - 1 = 2, we need to isolate the variable x on one side of the equation.

Adding 1 to both sides of the equation, we get:

9x - 1 + 1 = 2 + 1

Simplifying:

9x = 3

Dividing both sides by 9:

x = 3/9

Simplifying the fraction:

x = 1/3

Therefore, the solution to the equation 9x - 1 = 2 is x = 1/3.

Considering the area of the rectangle, it is found that it's width of the rectangle is of 3 inches.

The area of a rectangle of length l and width w is given by:

A = lw.

In this problem, we have that:

A = 108, l = 6 + 4w.

Hence, using the equation for the area:

lw = 108

(6 + 4w)w = 108

4w² + 6w - 108 = 0

2w² + 3w - 54 = 0

Which is a quadratic equation with coefficients a = 2, b = 3 and c = -54, hence:

\(\Delta = b^2 - 4ac = (3)^2 - 4(2)(-54) = 441\)

\(x_1 = \frac{-3 + \sqrt{441}}{6} = 3\)

\(x_2 = \frac{-3 - \sqrt{441}}{6} = -4\)

Width is a positive measure, hence it is of 3 inches.

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The critical value t for constructing a 99% confidence interval for a  with 11 degrees of freedom is approximately 3.106.

A t-distribution table is a table of values that shows the critical values for the t-distribution, which is a probability distribution used in statistics.

The table is typically organized by degrees of freedom and the level of significance (α) for a two-tailed test.

To find the critical value t* for a 99% confidence interval for a mean with 11 degrees of freedom, we can use a t-distribution table or a calculator.

Using a t-distribution table, we can find the critical value that corresponds to a 99% confidence level and 11 degrees of freedom.

The table shows that the critical value is approximately 3.106.

Alternatively, we can use a calculator that has a t-distribution function.

For example, using the function (0.005, 11) in Microsoft Excel will give us the same result of approximately 3.106.

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