6. You also need to find out how much tile you will need for your bathroom. The area of the floc
2x² + 13x + 15 and the width of the room is 2x+3, find the length.

Answer:

sorry if im wrong but i believe its no solution, once again i may be wrong

Step-by-step explanation:

eh

Given:

The dimensions of the square photo are 12'' × 12''.

The frame is 2 inches wider than the photo in both length and width.

To find:

The perimeter of the frame.

Solution:

We have,

Length of the photo = 12 inches

Width of the photo = 12 inches

The frame is 2 inches wider than the photo in both length and width. So,

Length of the frame = 12+2 inches

                                 = 14 inches

Width of the frame  = 12 inches

                                = 14 inches

The perimeter of a square is:

\(P=4a\)

Where, a is the side length.

Now, the perimeter of the square frame with side 14 inches is:

\(P=4(14)\)

\(P=56\)

Therefore, the perimeter of the square frame is 56 inches, Hence, option A is correct.

An explicit formula for aₙ, the nth term of the arithmetic sequence is aₙ = 3 + 5(n - 1)..

Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:

aₙ = a₁ + (n - 1)d

Where:

From the information provided, we have the following parameters:

First term, a₁ = 3

Second term, a₂ = 8

Next, we would determine the common difference as follows:

Common difference, d = a₂ - a₁

Common difference, d = 8 - 3

Common difference, d = 5

Substituting the parameters into the mathematical expression, we have;

aₙ = 3 + (n - 1)(5)

aₙ = 3 + 5(n - 1).

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Answer:

2 rocks

Step-by-step explanation:

2 crates + 2 rocks = 1 crate + 4 rocks

2 crates + 2 rocks = 2 crates + 8 rocks

Hence, 1 crate = (8-4)÷2

= 2 rocks

Answer:

2.5x + 40 = 1.5x + 50

Step-by-step explanation:

To find how many minutes passed before the water temperature in both beakers are the same, you need to set both of the expressions that show how hot the water in each beaker is to be equal to each other

Answer:

The coefficient of d that will make equation equal is -0.9

Step-by-step explanation:

Given

Left hand side equation = {–1/3}(2.7d + 1.8)

Simplifying LHS we get -

-0.9 d -0.6

Hence, the coefficient of d that will make equation equal is -0.9

The equation of the line passing through points (-1, 2) and (1, -1) is y = -1.5x + 0.5

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form of a linear equation is:

y = mx + b

Where m is the slope of the line and b is the y intercept

The line given passes through the point (-1, 2) and (1, -1). The equation is:

y - 2 = [(-1-2)/(1 - (-1)](x - (-1)]

y - 2 = -(3/2)(x + 1)

y = -(3/2)x - (3/2)

y = -1.5x + 0.5

The equation of the line is y = -1.5x + 0.5

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Answer:

40.4026226 aka 40.403

Step-by-step explanation:

tan 22 degrees = h/100

Answer: 18°

Step-by-step explanation:

     The question doesn’t state where F is in relation to A, B or E, so we have to guess. Here are two guesses.

If ABF is a straight line then ∠ABE+∠EBF=180, so 2n+7+4n-13=180, 6n-6=180.

Divide each side by 6: n-1=30 so n=31 and m∠ABE=2n+7=2×31+7=62+7=69°.

If BF bisects ∠ABE, then ∠ABE=2×∠EBF, so 2n+7=2(4n-13)=8n-26. So 6n=33 and, dividing both sides by 3: 2n=11. Therefore m∠ABE=2n+7=11+7=18°.

Answer:

9.42.

Step-by-step explanation:

If you have 3.14 × 3 You would put it over as an equation.

3.14

× 3

----------

9.42 is final answer.

Therefore, based on the percentages and the sample size of 15 drivers, we estimate that 4 drivers cut recreational driving and 4 drivers consolidated or reduced errands as their first big change due to higher gas prices.

If the figures of 30% cutting recreational driving and 27% consolidating or reducing errands are true for all American drivers, and 15 drivers are randomly sampled and asked about the first big change they made due to higher gas prices, we can use these percentages to estimate the number of drivers who made each change.

Out of the 15 sampled drivers:

30% would correspond to 0.30 * 15 = 4.5 drivers who cut recreational driving.

27% would correspond to 0.27 * 15 = 4.05 drivers who consolidated or reduced errands.

Since we cannot have fractions of drivers, we need to round these numbers. In this case, we have:

4 drivers who cut recreational driving (rounding down from 4.5).

4 drivers who consolidated or reduced errands (rounding down from 4.05).

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Answer:

Maria needs 3 lengths of gutter of finish the shed.

Step-by-step explanation:

We need to calculate the perimeter of the rectangular shed to know how much  5 feet gutter is needed.

The perimeter of the shed is p = 2(l + b) where l = 10ft and b = 9 ft

p = 2(10 + 9) = 2(19) = 38 ft

Now, the perimeter of the shed also equal 23 ft of gutter already installed plus 5x ft gutter where x = number of gutters.

So 23 + 5x = 38

collecting like terms, we have

5x = 38 - 23

5x = 15

dividing through by 5 we have

5x/5 = 15/5

x = 15/5

x = 3

So, Maria needs 3 lengths of gutter of finish the shed.

The magnitude of the gradient vector is calculated as |∇f(2, 2)| = √(12² + 3²) = √(144 + 9) = √153.

To determine the maximum gradient/slope of the function f(x, y) = 3x² + 3y at the point (x, y) = (2, 2), we need to find the gradient vector and then calculate its magnitude.

The gradient vector ∇f(x, y) of a function f(x, y) is given by ∇f(x, y) = [∂f/∂x, ∂f/∂y], where ∂f/∂x and ∂f/∂y represent the partial derivatives of f with respect to x and y, respectively.

Taking the partial derivatives, we have:
∂f/∂x = 6x
∂f/∂y = 3

Substituting x = 2 and y = 2, we get:
∂f/∂x = 6(2) = 12
∂f/∂y = 3

Therefore, the gradient vector at (2, 2) is ∇f(2, 2) = [12, 3].

The magnitude of the gradient vector is calculated as |∇f(2, 2)| = √(12² + 3²) = √(144 + 9) = √153.

So,  maximum gradient/slope of the function f(x, y) = 3x² + 3y at (x, y) = (2, 2) is √153, and the direction in which the maximum slope occurs is the unit vector in the direction of ∇f(2, 2), which is obtained by normalizing the gradient vector:
direction = ∇f(2, 2)/|∇f(2, 2)| = [12/√153, 3/√153].

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Answer:

50%

Step-by-step explanation:

We need to find the percent change from 120 pounds to 180 pounds. We can find it as follows :

\(\%=\dfrac{180-120}{120}\times 100\\\\=\dfrac{60}{120}\times 100\\\\=50\%\)

So, the percent change is equal to 50%.

n - 2.5 represent the Cost Price after a discount of 2.50

Given parameters,

Modeling of the total cost = 35 + 3(n - 2.5)

The general format of models like this is as follows;

Price + quantity (cost after coupon)

Coupon literally is a code that are used to obtain a discount on the current purchase

By comparison;

Price = 35 (i.e. current dress price).

Quantity = n (i.e. the number of shirts bought)

Lastly, cost after coupon = n - 2.5

It is stated that she applies a coupon on each T shirt

This can be interpreted to: removing a total discount of $2.50 from the three t-shirt.

By removing, the expression is given as negative $2.5

Hence,

n - 2.5 represent the total cost on each T shirt after coupon is applied

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Answer: what the heck do you have to answer

Step-by-step explanation:

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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The oxygen production rates of Plant A and Plant B would be equal  to  each other at approximately  time t = 5.2.

To find the times when the oxygen production rates of Plant A and Plant B are equal, we need to set the two equations equal to each other and solve for t:

-0.1\((t - 12)^2\)+ 4 = -0.2\((t - 13)^2\) + 6

Now, let's solve this equation step by step:

Step 1: Expand the squared terms:

-0.1(\(t^2\) - 24t + 144) + 4 = -0.2(\(t^2\) - 26t + 169) + 6

Step 2: Distribute the coefficients:

-0.1\(t^2\) + 2.4t - 14.4 + 4 = -0.2\(t^2\) + 5.2t - 33.8 + 6

Simplify the equation:

-0.1\(t^2\) + 2.4t - 10.4 = -0.2\(t^2\) + 5.2t - 27.8

Step 3: Combine like terms:

0.1\(t^2\) + 2.8t - 17.4 = 0

Step 4: Move all terms to one side to set the equation equal to zero:

0.1\(t^2\) + 2.8t - 17.4 = 0

Step 5: Solve the quadratic equation using factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula here:

t = (-2.8 ± √(\(2.8^2\) - 4 * 0.1 * -17.4)) / (2 * 0.1)

Simplifying the formula:

t = (-2.8 ± √(7.84 + 6.96)) / 0.2

t = (-2.8 ± √14.8) / 0.2

Step 6: Calculate the values of t by using both the positive and negative square root:

t1 = (-2.8 + √14.8) / 0.2

t2 = (-2.8 - √14.8) / 0.2

Step 7: Simplify the values of t:

t1 ≈ 5.2

t2 ≈ -28.2

Therefore, the oxygen production rates of Plant A and Plant B would be equal at approximately t = 5.2.

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The area of the regular octagon inscribed in a circle with a radius of 16 feet can be found using the formula A = (2 + 2sqrt(2))r^2, where r is the radius of the circle. Plugging in the value for r, we get:

A = (2 + 2sqrt(2))(16)^2

A = (2 + 2sqrt(2))(256)

A = 660.254 ft^2

Therefore, the area of the regular octagon is approximately 660.254 square feet.

To derive the formula for the area of a regular octagon inscribed in a circle, we can divide the octagon into eight congruent isosceles triangles, each with a base of length r and two congruent angles of 22.5 degrees. The height of each triangle can be found using the sine function, which gives us h = r * sin(22.5). Since there are eight of these triangles, the area of the octagon can be found by multiplying the area of one of the triangles by 8, which gives us:

A = 8 * (1/2)bh

A = 8 * (1/2)(r)(r*sin(22.5))

A = 4r^2sin(22.5)

We can simplify this expression using the double angle formula for sine, which gives us:

A = 4r^2sin(45)/2

A = (2 + 2sqrt(2))r^2

Therefore, the formula for the area of a regular octagon inscribed in a circle is A = (2 + 2sqrt(2))r^2.

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Approximately 73.5% of the city council members voted in favor of the new tax law.

In order to find the percentage of the city council members who voted in favor of the new tax law, lets use the following formula:

Percentage = (Number of votes in favor / Total number of votes) x 100

First, we need to add the number of votes in favor and the number of votes against it:

50 + 18 = 68

Next, we can use this total to find the percentage of those who voted in favor:

Percentage = (50 / 68) x 100 Percentage = 0.735 x 100 Percentage = 73.5%

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Answer: A≈1922.46

Step-by-step explanation: A=6a^2=6·17.92≈1922.46

The Linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

The point-slope equation for a line is of the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Given the point-slope equation y - 5 = 3(x - 2),

we can see that the slope of the line is 3 and it passes through the point (2, 5).

To find the linear function for the line, we need to write the equation in slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point at which the line intersects the y-axis).

To get the equation in slope-intercept form, we need to isolate y on one side of the equation.

We can do this by distributing the 3 to the x term:y - 5 = 3(x - 2)  y - 5 = 3x - 6  y = 3x - 6 + 5  y = 3x - 1

Therefore, the linear function for the line represented by the point-slope equation y - 5 = 3(x - 2) is y = 3x - 1.

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If the defendeant is guilty, the probability that the jury makes the correct decision is approximately 0.476.

To calculate the probability that the jury makes the correct decision, we need to consider two cases: the defendant is guilty and the defendant is not guilty.

Let's start with the case where the defendant is guilty. The probability that any individual juror makes the correct decision on the defendant is 0.80. Therefore, the probability that at least 10 out of 12 jurors make the correct decision is given by the binomial distribution:

P(at least 10 out of 12 jurors say "guilty") = sum of P(k jurors say "guilty") for k = 10, 11, 12

Using a binomial calculator or formula, we can find that this probability is approximately 0.952.

Now let's consider the case where the defendant is not guilty. In this case, the probability that any individual juror makes the correct decision is 0.20 (since they should say "not guilty"). Therefore, the probability that at least 10 out of 12 jurors say "guilty" when the defendant is actually not guilty is given by the same binomial distribution:

P(at least 10 out of 12 jurors say "guilty" | defendant is not guilty) = sum of P(k jurors say "guilty") for k = 10, 11, 12

Using the binomial formula, we can find that this probability is approximately 0.0003.

To find the probability that the jury makes the correct decision, we need to weigh the two cases by their respective probabilities:

P(correct decision) = P(defendant is guilty) * P(at least 10 out of 12 jurors say "guilty") + P(defendant is not guilty) * P(at least 10 out of 12 jurors say "guilty" | defendant is not guilty)

Plugging in the values, we get:

P(correct decision) = 0.5 * 0.952 + 0.5 * 0.0003 = 0.476

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♡ The Question/Task ♡          

18.44 in. 18 3/5 in. 7√7 in.

Ordered from greatest to least.  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*                

♡ The Answer ♡            

18 3/5, 7√7, 18.44!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*                

♡ The Explanation/Step-By-Step ♡            

-No Explanation/Step-By-Step Provided!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*                

♡ Tips ♡            

-No Tips Provided!

Answer: I think it’s 3

Step-by-step explanation: I took a look at 13 and 12 subtracted 6-3=3

so I believe this is the answer sorry if I’m wrong

Answer:

3?

Step-by-step explanation:

Answer:

greatest common factor

Step-by-step explanation:

greatest common factor the largest factor that any given numbers have in common

Answer:

(-2,3)

Step-by-step explanation:

Answer:

The first answer is correct

Step-by-step explanation:

y = mx + b is the slope intercept form of a line

15x - 5y = 30  Subtract 15x from both sides

-5y = -15x + 60  Divide both sides by -5

y = 3x -6  The -6 is your y-intercept.  It is the point (0.-6)  We could stop here because that is the only choice that shows (0,-6), but let's find the x intercept.

The x-intercept is when y = 0

y = 3x -6

0 = 3x - 6 Add 6 to both sides

6 = 3x  Divide both side by 3

2 = x This is the point (2,0)

We could have taken the original equation and set x=0 and y=0

15x - 5y = 30

15(0) - 5y = 30

-5y = 30  Divide both sides by -5

y = -6

15x -5y = 30

15x - 5(0) = 30

15x = 30  Divide both sides by 15

x = 2

-

The average rate of change of the height function is slope of the height function

The model's height increases by approximately 0.011 inch for every 1-cubic-inch increase in its volume.

The height function is given as:

\(H(V) = 2.69\sqrt[3]{V}\)

When V = 512, the function becomes

\(H(512) = 2.69\sqrt[3]{512}\)

\(H(512) = 21.52\)

Similarly;

When V = 1000, the function becomes

\(H(1000) = 2.69\sqrt[3]{1000}\)

\(H(1000) = 26.9\)

The average rate of change is then calculated as:

\(H' = \frac{H(1000) - H(512)}{1000 - 512}\)

This gives

\(H' = \frac{26.9 - 21.52}{1000 - 512}\)

\(H' = \frac{5.38}{488}\)

Evaluate the quotient

\(H' = 0.01102459016\)

Approximate

\(H' = 0.011\)

Hence, the model's height increases by approximately 0.011 inch for every 1-cubic-inch increase in its volume.

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Answer:

The model’s height increases by approximately 0.011 inch for every 1-cubic-inch increase in its volume.

Step-by-step explanation:

Plato/Edmentum