describe in words how to graph the line y=3

we know that

The perimeter of the figure is equal to the sum of its length sides

so

P=7.2(2)+4.1(2)+4.1(2)+12.8+1.9(2)+x

Combine like terms

P=47.4+x

Remember that

P=60.7 ft

substitute

60.7=47.4+x

x=60.7-47.4

x=13.3 ft

therefore

the answer is

Given: The cost of making a cylindrical cup is 37 cents per square inch, Let the radius of the base of the cup be r. The height of the cup is h. Finding the function f in the variable r for the quantity to be optimized:

The surface area of the cup is given by:

Surface area = Curved surface area + 2 × Base area Curved surface area = 2 × π × r × hBase area = πr²Total surface area = 2 × π × r × h + πr²= πr(2h + r)

Construction cost = 37 × πr(2h + r) cents

∴ f(r) = 37πr(2h + r) cents

Finding the domain of the function f: Since both r and h are positive, the domain of the function f is given by:0 < r and 0 < hGiven that the height of the cup is twice the radius,

i.e. h = 2r∴ f(r) = 37πr(2(2r) + r) cents= 37πr(4r + r) cents= 185πr² cents

The domain of the function is 0 < r.

Finding the critical points of the function f:

∴ f'(r) = 370rπ centsSetting f'(r) = 0, we get:370rπ = 0⇒ r = 0

We have to note that since the domain of the function is 0 < r, the critical point r = 0 is not in the domain of the function.

Therefore, there are no critical points in the domain of the function f. Hence, there is no optimal value of r. Thus, the answer is "DNE".

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Answer:

I can only assume that the entire 1-4x is divided by 2x, and 4 by all of 1 - 5x.  You can guarantee more accurate results by using brackets where appropriate.  If I read that expression with the correct notation, it reads as \(1 - \frac{4x}{2x} + 1 = \frac{4}{1} - 5x\).

Assuming instead that it's meant as \(\frac{1 - 4x}{2x + 1} = \frac{4}{1 - 5x}\), we can solve it as shown below, giving us x values of 1 and 3/20 (or 0.15).

Step-by-step explanation:

First let's reformat this to the usual ax² + bx + c format:

\(\frac{1 - 4x}{2x + 1} = \frac{4}{1 - 5x}\\(1 - 4x)(1 - 5x) = 4(2x + 1)\\1 - 5x - 4x + 20x^2 = 8x + 4\\20x^2 - 5x - 4x - 8x + 1 - 4 = 0\\20x^2 - 17x - 3 = 0\)

Let's solve it with the quadratic formula:

\(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\\\\x = \frac{17 \pm \sqrt{-17^2 - 4\times 20 \times( -3)} }{2\times20}\\\\x = \frac{17 \pm \sqrt{289 + 240} }{40}\\\\x = \frac{17 \pm 23 }{40}\\\\x = 1, \frac{3}{20}\)

The solution is:

Last Year Length = 4 meters

This Year Length = 12 meters

This Year Width = 10 meters

Here, we have,

We know, area of the rectangle is given by the formula:

Area = Length * Width

Given width = 5

Area = 20

We solve for Length:

Area = Length * Width

20 = Length * 5

Length = 20/5 = 4

Last Year Length = 4 meters

Now, this year, the length would be 3 times as long, so new length would be:

This Year Length = 4 * 3 = 12 meters

This year, the width would be two times previous year, so width would be:

This Year Width = 5 * 2 = 10 meters

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complete question:

Last year, Mr. Petersen's rectangular garden had a width of 5 meters and an area of 20 square meters.

This year, he wants to make the garden three times as long and two times as wide.

a. Solve for the length of last year's garden using the area formula. Then, draw and label the

measurements of this year's garden.

Last Year

This Year

5 m

20

square

meters

Answer:

The answer are

A.

\( {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \)

B.

\( {f}^{ - 1} ( - 3) = 0\)

Step-by-step explanation:

To find the infers we do that

\(f(x) = \frac{2 x + 3}{x - 1 } \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\ x = \frac{f(x) + 3}{f(x) - 2} \\ then \: \\ {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \\ then \\ {f }^{ - 1} ( - 3) = \frac{ - 3 + 3}{ - 3 + 2} = 0\)

Approximately 15,418.646 cubic feet of rice are in the silo when it is 34% full.

To calculate the approximate volume of rice in the silo when it is 34% full, we need to find the volume of a cylindrical segment.

First, let's calculate the height of the rice-filled portion. If the silo is 40 feet tall and it is 34% full, the height of the rice-filled portion is 34% of 40 feet, which is 0.34 * 40 = 13.6 feet.

Now, let's calculate the radius of the rice-filled portion. The diameter of the silo is 16 feet, so the radius is half of the diameter, which is 16 / 2 = 8 feet.

Using the formula for the volume of a cylindrical segment:

V = (1/3) * π * h * (3r^2 + h^2)

where V is the volume, π is approximately 3.14159, h is the height of the rice-filled portion, and r is the radius of the rice-filled portion.

Plugging in the values:

V = (1/3) * 3.14159 * 13.6 * (3 * 8^2 + 13.6^2)

Calculating this expression gives us:

V ≈ 3.14159 * 13.6 * (3 * 64 + 184.96)

≈ 3.14159 * 13.6 * (192 + 184.96)

≈ 3.14159 * 13.6 * 376.96

≈ 15418.646 cubic feet

Therefore, approximately 15,418.646 cubic feet of rice are in the silo when it is 34% full.

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Answer: Not Continuous

Step-by-step explanation:

A continuous function means it can be drawn on a graph uninterrupted. This function contains two jump discontinuity, where the function suddenly jumps to a different y-value without values connecting the jump.

Hope this helps.

Kim saved $9 by using the coupon.

How to find Original price?

The MSRP (i.e., Manufacturer's Suggested Retail Price) set the original price, which is the cost. In the majority of cases, the original price would have been less expensive than the current price, though this is not always the case. Finding an item's original price and knowing the price after a discount are both made possible by original price.

Original price = Sales price/(100%-Discount%)

To find out how much money Kim saved, we need to first find out how much the birdhouse cost after the coupon was applied.

The coupon took 25% off the original price, so the birdhouse cost 100% - 25% = 75% of its original price.

So, the new price of the birdhouse would be:

36 * 75% = $27

Kim saved 36 - 27 = $9 by using the coupon.

Therefore, Kim saved $9 using the coupon.

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The correct function that describes the student's distance from the finish line after x minutes is f(x) = -1/4x + 10.

The correct function that describes the student's distance from the finish line after x minutes can be determined by analyzing the given information. We know that the student runs 1 kilometer every 4 minutes, and the race is a total of 10 kilometers.

Let's examine the options:

1. f(x) = 1/4x + 10

This function represents the distance covered by the student in x minutes, but it does not account for the fact that the total race distance is 10 kilometers.

2. f(x) = -1/10x + 4

This function has a negative coefficient for x, which would indicate that the student is getting farther away from the finish line as time progresses, which is not the case.

3. f(x) = 1/10 + 4

This function is a constant and does not change with time, so it cannot describe the student's distance from the finish line.

4. f(x) = -1/4x + 10

This function correctly represents the student's distance from the finish line. The negative coefficient for x indicates that the distance decreases as time progresses, and the constant term of 10 represents the initial distance from the finish line, which is 10 kilometers.

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Yes, women save more money than men. The value of the test statistic for this hypothesis test is 1.93.

The hypothesis test used in this case is a two-sample t-test. This test is used to compare two independent means from two different groups. The null hypothesis states that there is no difference between the means of the two groups, while the alternative hypothesis states that there is a difference.  

To begin, the value of the test statistic must be calculated. The test statistic is calculated by subtracting the two means and dividing by the standard error. The standard error is calculated by taking the standard deviation of each group and dividing it by the square root of the sample size. So, for this hypothesis test, the test statistic is calculated as follows: (54 - 50) / (10/√25 + 5/√30) = 4 / (2.06) = 1.93.

To determine if women save more money than men, the test statistic must be compared to the critical value associated with the significance level. As the significance level is 0.01, the corresponding critical value is -2.575 and 2.575. Since the test statistic (1.93) is greater than the critical value (2.575), the null hypothesis can be rejected. This indicates that there is sufficient evidence to suggest that women save more money than men.

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Answer:

151.18

Step-by-step explanation:

I can't really show my work on this, sorry.

Answer:

151.18

Step-by-step explanation:

210.58-59.40=151.18

The change-of-coordinates matrix from basis B to basis C is given by the matrix [3 -4; -1 1]. This matrix allows us to convert coordinates expressed with respect to basis B to coordinates expressed with respect to basis C.

The change-of-coordinates matrix from basis B to basis C can be determined by expressing the basis vectors of C in terms of the basis vectors of B. In this case, we are given B = {b1, b2} and C = {c1, c2}, where b1 = (1, 2), b2 = (-2, 1), c1 = (1, 1), and c2 = (2, -1). To find the change-of-coordinates matrix, we express c1 and c2 in terms of b1 and b2 and arrange the coefficients in a matrix. The first column of the change-of-coordinates matrix corresponds to the coefficients of b1 in terms of c1 and c2. To find these coefficients, we solve the equation c1 = x1 * b1 + x2 * b2, where x1 and x2 are the unknown coefficients. Using the given values, we have (1, 1) = x1 * (1, 2) + x2 * (-2, 1). Solving this system of equations, we get x1 = 3 and x2 = -1. Similarly, for the second column of the change-of-coordinates matrix, we solve the equation c2 = y1 * b1 + y2 * b2, where y1 and y2 are the unknown coefficients. Substituting the values, we have (2, -1) = y1 * (1, 2) + y2 * (-2, 1). Solving this system, we find y1 = -4 and y2 = 1.

Therefore, the change-of-coordinates matrix from basis B to basis C is:

[3  -4]

[-1  1]

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The functions that include a reflection of the parent function across the x-axis are h(x) = -3/2x², q(x) = -6x², k(x) = -x²

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

The list of optons

The function of reflection of the parent function across the x-axis can be represented as

g(x) = -f(x)

This means that the function is negated

using the above as a guide, we have the following:

The functions are h(x) = -3/2x², q(x) = -6x², k(x) = -x²

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The equation of the amount to be paid by anyone using the ride in slope intercept form is; y = 0.5x + 10

The general form of the equation of a Line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Now, we are told that;

Amount charge by Winter Wonderland per child = $0.50

We are told that there is a separate entrance fee.

Amount of times todd sled down the hill = 16 times

Amount paid by todd = $18

Thus, using the slope intercept form, we have;

18 = 0.5(16) + b

18 = 8 + b

b = 10

Thus, the equation of this amount to be paid in slope intercept form is;

y = 0.5x + 10

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Answer:

1.827

Step-by-step explanation:

Answer:

Step-by-step explanation:

slope=(6-2)/(1-4)=4/-3=-4/3

eq. of line is y-2=-4/3(x-4)

Answer:

3.24 kg

Step-by-step explanation:

internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs

external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs

Vol of thickness = 8160 - 7080 = 1080cm^3

Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg

The answer to the question "difference of -72 and a product of -720?" is -9.

To find the sum of the two numbers, we can set up the following equations based on the given information:

Let the two numbers be x and y, where x > y.

x - y = -72 (since the difference between the numbers is -72)

xy = -720 (since the product of the numbers is -720)

We can solve these equations simultaneously using algebraic methods. One way to do this is to isolate one of the variables in one of the equations and substitute it into the other equation. For example, we can isolate y in the first equation by rearranging it to y = x + 72, and then substitute this into the second equation:

x(x + 72) = -720

Expanding the left-hand side, we get:

x^2 + 72x = -720

Rearranging the equation, we get:

x^2 + 72x + 720 = 0

Now we can solve for x using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

where a = 1, b = 72, and c = 720. Plugging in these values, we get:

x = (-72 ± √(72^2 - 4(1)(720))) / (2(1))

Simplifying further, we get:

x = (-72 ± √(5184 - 2880)) / 2

x = (-72 ± √2304) / 2

x = (-72 ± 48) / 2

Now we have two possible values for x:

x1 = (-72 + 48) / 2 = -12

x2 = (-72 - 48) / 2 = -60

Since x > y, we take x = -12 and y = -72 - (-12) = -60 + 12 = -48.

Thus, the sum of the two numbers is -9, which is obtained by adding x and y:

-12 + (-48) = -9.

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Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

180-152=28

28 _________

Answer:

The first option is correct: Angle 2 through 5

Step-by-step explanation:

Both angles 2 and 5 are directly vertical or opposite to each other and are the only angles that are proportionate/equal sizes.

The other three options are incorrect because angles 4 and 3 are not the same equal value and are right next to each other making them not vertically across.

angles 1 and 5 are close to being vertical but are not the same size as angle 1 is much smaller than angle 5.

angles 6 and 1 are next to each other making them not vertically to each other and angle 6 is much larger than angle 1.

the correct answer is angles 2 and 5, the first option.

Option B is correct. The statement that is true about the values we have been given here is that They are the only values that make both equations true.

We have been given two equations

The first equation is

4y-3x=16

We have to plug in the values (-5, 0.25) in this equation

4(0.25) -3(-5) =16

Then we have

1 + 15 = 16

Hence 16 = 16 This satisfies the equation.

In the second equation we have to follow the same step

-x-8y=3

Such that

-(-5)-8*0.25 = 3

5-2 = 3

3 = 3 This also satisfies the equation.

Therefore the correct answer option is B

a. They satisfy equation 8 but not equation A.

B. They are the only values that make both equations true.

C. They show that the equations represent the same line.

D. They satisfy equation A but not equation B.

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According to the Pythagoras theorem, the value of ED is 8.4 cm

Pythagoras theorem:

Pythagoras theorem defines that the right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Given,

A, B, C, D, E, F, G and H form a cuboid.

AB = 6.7cm, BC = 2.3cm, and CG = 8.1cm.

Now, we need to find the value of Ed and round off it into 1 decimal place.

Here we have the cuboid with the edges named as A, B, C, D, E, F, G and H.

Now, we have to use the value of BC and CG to find the value of hypotenuse of BG.

Because, BG and ED are opposite to each other.

Which means both have the same hypotenuse value.

So, according to the Pythagoras theorem,

=> BG² = BC² + CG²

=> BG² = (2.3)² + (8.1)²

=> BG² = 5.29 + 65.61

=> BG² = 70.9

So, the value of BG is 8.42.

Therefore, the value of ED is 8.4 When we round off this into one decimal place.

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The choir practice this week for 5 1/4 hours.

On Monday, the choir practiced for 3/4 hour.

On Wednesday, they practiced for 1/2 hour more than on Monday, which is 3/4 + 1/2 = 6/8 + 4/8 = 10/8 = 1 1/4 hours.

On Friday, they practiced twice as long as on both Monday and Wednesday combined, which is 2 * (3/4 + 1 1/4) = 2 * 2 = 4 hours.

To find the total practice time for the week, we can add up the times from each day:

3/4 + 1 1/4 + 4 = 5 + 1/4 = 5 1/4 hours.

Therefore, the choir practiced for 5 1/4 hours in total this week.

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The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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Answer:C

Step-by-step explanation:it says from which means x-axis, (2,-7) moved left and right is (-5,-7) and "x-axis" as well bc the second option for the x coordinate is -7 that take 9 moves and not 7

Answer:

g = 1/2

Step-by-step explanation:

Step 1: Add 0.5g to both sides

9 + 4g = 11

Step 2: Subtract 9 from both sides

4g = 2

Step 3: Divide by 4 on both sides

g = 2/4

Step 4: Simplify

g = 1/2

9 + 3.5g = 11 - 0.5g

2 = 4g

g = 0.5