The ratio of the sides of EBD to the sides of ABC is 3:4. Calculate the side lengths of ABC (Round to the nearest hundredth)

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

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Answer:

The distance formula can be written correctly in several different ways.

I hope this helps.

Cheers.^^

The True statement about distance formula is

The distance formula can be written correctly in several different ways.

Given:

We know that if we have to find speed, we use

Speed = Distance/Time

and, if we have to find distance, we use

Distance = Speed X Time

and, if we have to find time , we use

Time = Distance / Speed.

Hence, The distance formula can be written correctly in several different ways.

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Answer:

There is nothing to refer to

Step-by-step explanation:

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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The correct answers are:

Positive, because as the quantity of water within the pond increases, the quantity of habitat will increase. There is a strong terrible courting indicating that with a boom within the age of male adults, there may be an associated lower in the amount of hair on the top. Plot 1: r = 0.96, Plot 2: r = -0.87

In reading the relationship between the amount of water (X) in a fishpond and the quantity of habitat (Y), we'd anticipate the correlation between X and Y to be tremendous. This is because as the amount of water inside the pond will increase, it gives more sources and areas for the habitat to thrive, ensuing in an increase in the extent of habitat.

Regarding the correlational examination on person men with the variables of age (X) and amount of hair on the pinnacle (Y), a correlation coefficient of r = -0.80 indicates a robust poor courting.

This means that as the age of male adults will increase, there's a related decrease in the quantity of hair on the top. The poor correlation indicates that older males generally tend to have less hair on their heads as compared to younger men.

For the two plots furnished, the quality matches for the correlation coefficients are:

Plot 1: r = 0.96

Plot 2: r = -0.87

These correlation coefficients imply a strong effective courting in Plot 1 and a robust terrible courting in Plot 2, respectively.

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The correct question is:

"Suppose you are in studying the relationship between the amount of water (X) in a fish pond and the volume of habitat (Y). You would expect the correlation between X and Y to be because O, because we cannot determine without data. Positive, because as the amount of water in the pond increases the volume of habitat increases Positive, because as the amount of water in the pond increases the volume of habitat decreases. Positive, because as the amount of water in the pond increases the volume of habitat decreases. Negative, because as the amount of water in the pond increases the volume of habitat decreases. Suppose you conducted a correlational study on adult males with the variables of age (x) and amount of hair on the head (Y). Your study revealed a correlation coefficient r = -0.81. What will be your interpretation for this result? There is a strong positive relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. There is a weak positive relationship indicating with an increase in age of male adults there is an associated increase in amount of hair on the head. There is a weak negative relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. The relationship between age of male adults and the amount of hair on the head is curvilinear There is a strong negative relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. Based on the two plots provided below, match the correlation coefficients that best describe the two plots. Plot 1 Plot 2 3 10 11 2 2 9 Plot 1 = -0.002, Plot 2 = -0.80 Plot 1 = 0.96, Plot 2 = -0.87 Plot 1 = 0.96. Plot 2 - 0.40"

The correct option is A) No, because the center of a distribution and the spread are not related

The standard deviation is a measure of the spread or dispersion of a set of data. It is not directly related to the mean or average of the data.

The standard deviation is calculated based on the deviations of each data point from the mean, taking into account how many data points there are.

The mean does not affect the calculation of the standard deviation, as the formula for standard deviation is based solely on the data itself and not on any summary statistics like the mean.

The value of the standard deviation can remain the same even if the mean changes, and conversely, the mean can change without affecting the standard deviation.

Thus, option A) No, because the center of a distribution and the spread are not related is correct.

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(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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Answer:

1 ft

Step-by-step explanation:

A^2+B^2=C^2

We have A and C

So 24+B^2=25

Subtract 24 from both sides

B^2=1

Square root both sides

B=1

Answer:

7 ft

Step-by-step explanation:

eh don't wana explain but I'm 80% sure that's the answer

Answer:

18 cups

Step-by-step explanation:

Lem sold 27 cups and

27 ÷ 3 = 9

Lem sold 9 lots of 3 cups , then

Ada sells 9 × 2 = 18 cups

Answer:

27 cups

Step-by-step explanation:

See attached image.

Answer:

G, EGF

Step-by-step explanation:

you can name an angle by just the vertex name, the number, or the 3 sides with the vertex its on in middle.

Answer:

linear pair

Step-by-step explanation:

Linear pair because they are adjacent and supplementary

Answer:

Shelly walked farther by 0.0666666666 or 0.07

Step-by-step explanation:

1 divided by 3 = 0.333333333

4 divided by 15 = 0.266666666

0.33 is greater than 0.26, so Shelly walked farther by 0.33 - 0.26 = 0.07

Answer:

A , D , E

Step-by-step explanation:

Substitute x = 2 into f(x) and check if the result is 4

(a)

f(2) = 2² = 4 ← then f(2) = 4

(b)

f(2) = 2 + 6 = 8 ≠ 4

(c)

f(2) = 4(2) + 2 = 8 + 2 = 10 ≠ 4

(d)

f(2) = 2² = 4 ← then f(2) = 4

(e)

f(2) = 8(2) - 12 = 16 - 12 = 4 ← then f(2) = 4

the probability that the distance between two randomly chosen points in a circle is less than the radius 1/3

Put the first point (P) somewhere on the circle (center O) - all the points are the same so it doesn’t matter where.

The other point (Q) will be somewhere on the circumference - length  2πr

It’s not clear if you want to measure distance around the circle or along a straight line.

If you measure around the circle, then there is an acceptable distance  r

 on either side of P and the probability is  2r/2πr=1/π

If you measure in a straight line, then Q can be a maximum distance r

 from P and OPQ is an equilateral triangle. We therefore have  60∘

 on each side of P and the probability is 120∘/360∘=1/3

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Multiplying ampere (amp) by ohm gives units of volt (V).

Therefore, the answer will be in volts (V). This is because ohm is the unit of electrical resistance, ampere is the unit of electrical current, and volt is the unit of electrical potential difference, which is calculated as the product of current and resistance according to Ohm's law: V = I × R.

Ohm is the unit of electrical resistance, which measures how much a material opposes the flow of electric current. One ohm (1 Ω) of resistance is defined as the amount of resistance that allows one ampere (1 A) of current to flow when a potential difference of one volt (1 V) is applied across it.

Ampere is the unit of electrical current, which measures the rate at which electric charge flows through a material. One ampere (1 A) of current is defined as the flow of one coulomb of electric charge per second.

Volt is the unit of electrical potential difference, which measures the amount of energy required to move a unit of electric charge from one point to another. One volt (1 V) of potential difference is defined as the amount of energy required to move one coulomb of electric charge across a circuit element that has one ohm of resistance.

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Professor Rodgers can create 165 different combinations of three selected students from a class of 11 students.

Given that Professor Rodgers needs one small group of students from his class to participate in a focus group and there are 11 students in the class. We need to find out how many different combinations of three selected students can Professor Rodgers create.

We can solve this question by applying the combination formula.

\(nC_r\) = n! / r!(n - r)!

where n is the total number of students in the class, and r is the number of students selected for the group.

So, the number of combinations of 3 students selected from a group of 11 students can be given as follows:

\(nC_3\) = \(11C_3\) = 11! / (3!(11 - 3)!) = (11 x 10 x 9) / (3 x 2 x 1) = 165

Therefore, Professor Rodgers can create 165 different combinations of three selected students from a class of 11 students.

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The difference between\(x^2 + 2x + 1\) and \(x^2 - 2x + 1\)is 4x.

To determine how much \(x^2 + 2x + 1\) is less than \(x^2 - 2x + 1\), we need to subtract the second expression from the first.

\((x^2 + 2x + 1) - (x^2 - 2x + 1)\)

Let's simplify this expression step by step:

First, distribute the negative sign to all the terms within the parentheses:

\((x^2 + 2x + 1) - (x^2 - 2x + 1)\)

Next, combine like terms:

\((x^2 - x^2) + (2x + 2x) + (1 - 1)\)

The\(x^2\)terms cancel out, and the constant terms cancel each other:

0 + 4x + 0

Simplifying further:

4x

Therefore,\(x^2 + 2x + 1\)is 4x less than \(x^2 - 2x + 1.\)

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\(\\ \sf\longmapsto V=1610.82\)

\(\\ \sf\longmapsto \dfrac{1}{3}\pi r^2h=1610.82\)

\(\\ \sf\longmapsto \pi r^2(19)=1610.82(3)=4832.36\)

\(\\ \sf\longmapsto 3.14r^2=254.34\)

\(\\ \sf\longmapsto r^2=81\)

\(\\ \sf\longmapsto r=9m\)

The axis of symmetry of a parabola represented by the equation h(t) = -16t^2 + 48t is given by the formula t = -b/2a, where a and b are coefficients of the quadratic equation.

In this case, a = -16 and b = 48. Plugging these values into the formula, we have:

t = -b / (2a) = -48 / (2 * -16) = -48 / -32 = 1.5

Therefore, the axis of symmetry is t = 1.5.

Now let's analyze the meaning of the axis of symmetry in relation to the ball's motion. The axis of symmetry represents the time at which the ball reaches its maximum height. In this case, the ball reaches its maximum height after 1.5 seconds.

Since the ball reaches the maximum height after 1.5 seconds, it will take an equal amount of time to descend from the maximum height to the ground. Therefore, the ball will take an additional 1.5 seconds to fall back to the ground.

Hence, the correct answer is:

d) t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 1.5 more seconds to fall back to the ground.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The correct answer is:

C

t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 3 more seconds to fall back to the ground.

In the given function h(t) = -16t^2 + 48t, the term -16t^2 represents the downward trajectory of the ball due to gravity, and 48t represents the initial upward velocity.

To find the axis of symmetry, we use the formula t = -b / (2a), where a and b are the coefficients of the quadratic equation. In this case, a = -16 and b = 48.

Plugging these values into the formula, we get:

t = -48 / (2 * -16)

t = -48 / -32

t = 1.5

Therefore, the axis of symmetry is t = 1.5. This means that the ball reaches its maximum height after 1.5 seconds and then begins to descend. After reaching the maximum height, it takes an additional 1.5 seconds to fall back to the ground. So, in total, it takes 1.5 seconds to ascend and 1.5 seconds to descend, making a total of 3 seconds in the air.

for the 1st one, is noteworthy that the denominators of 2 and 11 are both prime numbers, meaning the LCD from that is just their product, or namely 22.

\(\stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}} ~\hfill \stackrel{mixed}{3\frac{9}{11}} \implies \cfrac{3\cdot 11+9}{11} \implies \stackrel{improper}{\cfrac{42}{11}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{13}{2}~~ - ~~\cfrac{42}{11}\implies \cfrac{(11)13~~ - ~~(2)42}{\underset{\textit{using this LCD}}{22}}\implies \cfrac{143-84}{22}\implies \cfrac{59}{22}\implies 2\frac{15}{22} \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(\stackrel{mixed}{7\frac{2}{9}}\implies \cfrac{7\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{65}{9}} ~\hfill \stackrel{mixed}{2\frac{5}{12}} \implies \cfrac{2\cdot 12+5}{12} \implies \stackrel{improper}{\cfrac{29}{12}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{65}{9}~~ - ~~\cfrac{29}{12}\implies \cfrac{(4)65~~ - ~~(3)29}{\underset{\textit{using this LCD}}{36}}\implies \cfrac{260-87}{36}\implies \cfrac{173}{36}\implies 4\frac{29}{36}\)

(a) The number of possible committees that can be formed is given by the combination formula: 5,311,735.

(b) 676,695 committees can be formed with exactly 4 men and 4 women.

(c) The probability that the committee is formed with at least 2 women is approximately 0.997.

What is combination?

In mathematics, a combination is a way of selecting items from a collection, such that the order of the selected items does not matter. In other words, it is a selection of items without regard to the order in which they are chosen.

(a) The number of possible committees that can be formed is given by the combination formula:

\(\binom{27}{8} &= \frac{27!}{8!19!} \ = 5,311,735.\)

(b) The number of committees that can be formed with exactly 4 men and 4 women is the product of the number of ways to choose 4 men from 12 and the number of ways to choose 4 women from 15:

\(\binom{12}{4} . \binom{15}{4} &= 495.1365=676,695\)

(c) The probability that the committee is formed with at least 2 women is equal to 1 minus the probability that the committee is formed with no women or only 1 woman.

The number of committees with no women is equal to the number of committees formed by choosing 8 men from 12:

\(\binom{12}{8} =495\)

The number of committees with exactly 1 woman is equal to the product of the number of ways to choose 1 woman from 15 and the number of ways to choose 7 men from 12:

\(\binom{15}{1}.\binom{12}{7} = 15.792=11,880\)

Therefore, the number of committees with at least 2 women is:

\(\binom{27}{8}-\binom{12}{8}-\binom{15}{1}\binom{12}{7} &= 5,311,735 - 495 - 11,880 \ = 5,299,360\).

And the probability is:

\(5,299,360/\binom{27}{8}=0.997\)

So the probability that the committee is formed with at least 2 women is approximately 0.997.

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The dimensions of original lawn are a. 4 feet by 4 feet.

As per the equation and information mentioned in question, x represents the dimension of original lawn. The equation in question represents the relation between area of lawn at side of reduced lawn and it's area. We will solve this equation to find the value of x.

\((x - 8)^{2} = 144\)

The expression on Left Hand Side is same as \((a - b)^{2}\). We know, on expansion, we write it as \(a^{2} + b^{2} - 2ab\). Thus, new equation will be -

\(x^{2} + 8^{2} - 2*x*8 = 144\)

\(x^{2} + 64 + 16x = 144\)

\(x^{2} + 16x + 64 - 144 = 0\)

\(x^{2} + 16x - 80 = 0\)

\(x^{2} + 20x - 4x - 80 = 0\)

x (x + 20) -4 (x + 20) = 0

(x + 20) (x - 4) = 0

So, the two values of x that we get are:

x = 4 and -20.

The dimensions of lawn can not be negative. Hence, the value of x will be x.

Therefore, the dimensions of original lawn are a. 4 feet by 4 feet.

The complete question is -

Jillian is trying to save water, so she reduces the size  of her square grass lawn by 8 feet on each side. The area of the smaller lawn is 144 square feet. In the equation \((x - 8)^{2} = 144\), x represents the side measure of the original lawn. What were the dimensions of the original lawn?

a. 4 feet by 4 feet

b. 8 + \(6\sqrt{2}\) feet by 8 + \(6\sqrt{2}\) feet

c. 8 - \(6\sqrt{2}\) feet by 8 + \(6\sqrt{2}\) feet

d. 20 feet by 20 feet

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Answer: 9.8 feet!

Step-by-step explanation:

Answer:

So f(x) is y

y = |x| -4

Put in some numbers for x and see which graph matches the y output.

The first graph.

SOLUTION

Step 1 :

In this question, we are meant to consider the following:

Tyson has a game board that is made of 64 congruent sections.

Each section is a square with 2.5-inch sides.

We are to find the area of the game board in square inches.

Step 2:

CONCLUSION:

The area of the game board = 160 - inch -square ( OPTION B )

If Mirka is 5 years old, her parents start to give her pocket money of 50p per week , then the amount of pocket money does Mirka get in the first year is £26 .

the amount that Mirka gets per week is = 50p ;

Age of Mirka is = 5 years ;

When Mirka is 5 years old, she starts to receive 50p per week in pocket money. On her birthday, her parents increase her pocket money by 50p.

that means ;

So, for the first year, the pocket money will be 50p per week for 52 weeks (1 year),

Pocket money in the first year = 50p × 52 weeks = £26 .

Therefore , Mirka will get £26 in the first year of her birthday .

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Surface Area of the given figure is 68 sq.in

The missing image is attached with the answer.

Area is the space occupied by a two dimensional object.

The given figure is a  Prism with square base of 4 inch side and the lateral surface are triangle of side 4 inch and height 6 inch

The surface area of the prism is given by

Surface Area = 2bh + s²

Surface Area =  2 * 4 * 6 + 4²

Surface Area of the given figure is 68 sq.in

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Answer:

In slope-intercept form:

\( y = - \frac{5}{2} x + 4\)

In standard form:

\(5x + 2y = 8\)

Step-by-step explanation:

\( - 6 = - \frac{5}{2} (4) + b\)

\( - 6 = - 10 + b\)

\(b = 4\)

\(y = - \frac{5}{2} x + 4\)

\( - 2y = 5x - 8\)

\( - 5x - 2y = - 8\)

\(5x + 2y = 8\)

Answer:

f = - \(\frac{19}{7}\)

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition f = - 19 when m = 14, thus

- 19 = 14k ( divide both sides by 14 )

- \(\frac{19}{14}\) = k

f = - \(\frac{19}{14}\) m ← equation of variation

When m = 2, then

f = - \(\frac{19}{14}\) × 2 = - \(\frac{19}{7}\)