The ratio of the sides of a triangle is 2:6:7.
If the perimeter of the triangle is 225 meters,
what is the length of the longest side?

Answer:

The answer is 325

Step-by-step explanation:

hope it helps<333

Answer: there were 6 chairs

Step-by-step explanation: 10x + 5 = 65

Answer:

D

Step-by-step explanation:

The percentage of discount on the sweater will be 40%. The correct option is D.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that a sweater is on sale for $45.00, down from $75.00. The percentage discount will be calculated as:-

Percentage discount = (75 - 45) / 75

Percentage discount = ( 30 / 75 )

Percentage discount = 0.4 x 100 = 40%

Therefore, the percentage of discount on the sweater will be 40%. The correct option is D.

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Answer

P (x ≤ 20) = 1.00

Explanation

We are given the probability distribution for a random variable x that ranges from -10 to 20, in steps of 5.

We are then told to calculate the probability that x ≤ 20.

Note that this stands for the probability that x is less than or equal to 20.

P (x ≤ 20) = P(x=20) + P(x=15) + P(x=10) + P(x=5) + P(x=0) + P(x=-5) + P(x=-10)

= 0.15 + 0.10 + 0.25 + 0.10 + 0.05 + 0.15 + 0.20 (These numbers are given in the table)

= 1.00

Hence, P (x ≤ 20) = 1.00

Hope this Helps!!!

Answer:

36

Step-by-step explanation:

Given

3x + 2(y - 4) ← substitute x = 10 and y = 7 into the expression

= 3(10) + 2(7 - 4)

= 30 + 2(3)

= 30 + 6

= 36

Answer:

10

Step-by-step explanation:

acellus

The period of the given graph is 10.

Use the concept of a period of function defined as:

One full wave is set up in a medium for the length of time it takes a particle of that medium to complete one vibration or one wave period.

In the given wave,

X-axis represents time

The Y- axis represents the amplitude of the curve

As we can see,

The first peak of this graph is located at x = 1 and the second peak is at,

x = 13

Since the period is the time interval between two consecutive peaks in a graph.

In this case, the time interval is 10.

Hence,

The period of the given graph is 10.

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Answer:

7

Why:

it said :)

2.50 is the coupon amount and 0.08 is the cost for one copy from the equation y = 0.08x - 2.50.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

y = 0.08x - 2.50

Where x is the number of copies and y is the cost of printing x copies.

Now,

From the equation,

y = 0.08x - 2.50

2.50 is the coupon amount.

0.08 is the cost for one copy.

Thus,

2.50 is the coupon amount.

0.08 is the cost for one copy.

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Answer:

452

Step-by-step explanation:

When we divide the 464 by 60 we get the following remainder in our answer that is 44.

The Remainder is the name for the value that is left behind after division. If an amount (reward) cannot be divided completely with another number, we are left with only a meaning (divisor). The remaining is the name for this amount. For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.

7.733333333333333

=7 44/60 ⇔ 7 R 44

464 divided by 60

=7 with a remainder of 44

Here, we provide you the outcome of the dividing with remainder, often known as the Euclidean division, along with a brief explanation of the following terms:

464 divide by 60 yields a quotient and residual of 7 R 44.

464 is the dividend & 60 is the divisor; the division (numeric division) of 464/60 is 7; the remainder ("left over") is 44.

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If one of the sides of the park is the building itself then, only three sides of the park will be enclosed by fencing of 500ft. See illustration below.

So, if only three sides of the building are to be fenced and we have 500ft available for fencing, then we can say that:

The equation above can be also written as:

This will be our equation 1: l = 500ft - 2w.

Moving on to the area, the formula in getting the area of a rectangle is:

Using the value of "l" or length in equation 1, let's plug it into the formula of the area.

Then, simplify by multiplying the outer w to the terms inside the parenthesis.

Now, to determine what value of "w" or "width" would give us the maximum area, we need to find the x-coordinate of the vertex of the quadratic equation above.

The formula is:

The quadratic equation above is in a general form ax² + bx + c where a = -2 and b = 500. So, plugging these values to the formula above, we get:

Hence, the x-coordinate of the vertex of the quadratic equation is 125. Therefore, to get a maximum area, the measurement of the width must be 125 ft.

To determine the maximum area, let's plugin w = 125 to the quadratic equation.

Therefore, the maximum area that the 500ft of fencing can enclose is 31, 250ft².

The probability that exactly two couples state incompatibility as the reason is equal to the probability of two couples citing incompatibility and two couples not citing it.

HTML formatted answer: Given: 65% of all divorce cases cite incompatibility as the underlying reason. To find: Probability that exactly two will state incompatibility as the reason. Solution: As per the given data, The probability of citing incompatibility as the underlying reason for divorce is 65%.

Then, the probability of citing any other reason is (100% - 65%) = 35%.Let the probability of citing incompatibility by any couple as A, and the probability of not citing incompatibility by any couple as B. Here, the total couples filing for divorce = 4. Probability of two couples citing incompatibility and two couples not citing it.P(2C, incompatibility and 2C, not incompatibility)= \[\left( \begin{matrix}
  4  \\
  2  \\
\end{matrix} \right)\] × 0.65² × 0.35²The probability of choosing any 2 out of 4 couples = \[\left( \begin{matrix}
  4  \\
  2  \\
\end{matrix} \right)\] = 6The probability of 2 couples citing incompatibility = 0.65²The probability of 2 couples not citing incompatibility = 0.35²Hence,The probability that exactly two couples state incompatibility as the reason isP(2C, incompatibility) = \[\left( \begin{matrix}
  4  \\
  2  \\
\end{matrix} \right)\] × 0.65² × 0.35² = 6 × 0.4225 × 0.1225 = 0.3218Therefore, the required probability is 0.3218.

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Answer:

434.9 cm³

Step-by-step explanation:

Volume of a sphere: 4/3πr³

Substitute the information to find the volume.

4/3π(4.7)³ = 434.9

Answer: A

Step-by-step explanation:

Answer:

5.19 is correct

Step-by-step explanation:

Good luck on your final

Answer:

D

Step-by-step explanation:

4 x 8 = 32

4 x 16 = 64

4 x  32 = 128

4 x 64 = 256

They can be multiplied by something and 4

Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.

See picture:

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

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

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

Simple linear regression analysis differs from multiple regression analysis in (A) Only simple linear regression uses one explanatory variable.

A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.

Both variables ought to have numerical values.

Multiple regression analysis and simple linear regression analysis are different One explanatory variable is used only in simple linear regression.

If we know the height of a person, we could apply the equation to forecast weight.

Y = MX + b, where X is the predictor (independent) variable, m is the estimated slope, and b is the expected intercept, which is the formula for simple linear regression.

Therefore, simple linear regression analysis differs from multiple regression analysis in (A) Only simple linear regression uses one explanatory variable.

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Correct question:

Simple linear regression analysis differs from multiple regression analysis in that:

a. multiple choice simple linear regression uses only one explanatory variable.

b. the coefficient of correlation is meaningless in simple linear regression

c. goodness-of-fit measures cannot be calculated with simple linear regression

d. the coefficient of determination is always higher in simple linear regression

For a standard normal distribution, a negative value of z indicates that the observed value is below the mean of the distribution.

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, a negative value of z indicates that the observed value is located below the mean. The z-score represents the number of standard deviations a data point is away from the mean.

A negative z-score means that the observed value is lower than the mean, indicating that it falls to the left of the center of the distribution. This means that the data point is relatively lower compared to the average and can provide information about its position within the distribution and its deviation from the mean.

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Answer:

y = 2

x = -6

Step-by-step explanation:

Looking at the two equations, we notice right away that we can re-arrange the first equation to solve for x.

x + 4y = 2 becomes x = 2 - 4y

Now, we see that the second equation has an x in it. We replace the x in the second equation with the value of x we just found (using the first equation).

-x + y = 8 becomes -(2 - 4y) + y = 8

Simplify the left side!

1. Distribute the negative

        -2 +4y + y = 8

2. Simplify like terms

        -2 + 5y = 8

3. Move the -2 to the right side (changing its sign as we do so)

          5y = 8 + 2

          5y = 10

4. Divide both sides by 5

          y = 2

NOW TO FIND X

Since we have the value for y, we can plug it in an equation to find x. We will use the second equation.

-x + y = 8 becomes -x +2 = 8

1. Move the 2 to the right side:

-x = 8 - 2

-x = 6

2. Divide both sides by -1:

x = -6

Now we come to a very important step: we must check our answers. First, we will plug in our numbers for x and y into the first equation.

x + 4y = 2

(-6) + 4(2) = 2

-6 + 8 = 2

2 = 2

The variables hold true for that equation. Now we check them with the second equation!

-x + y = 8

-(-6) + 2 = 8

6 + 2 = 8

8 = 8

Both our answers are right!

Hope this helped!!!

Answer:

Step-by-step explanation:

Inverse variation functions have the form y = k / x, where k is a constant.

When k > 0, the graph of the inverse variation function is a hyperbola that opens upwards or downwards, depending on the sign of k. When k > 0, the hyperbola opens upwards and the two branches of the hyperbola move away from the x-axis as x increases. This means that as x increases, the value of y decreases. When x approaches 0 from the right, y approaches positive infinity, and when x approaches 0 from the left, y approaches negative infinity.

On the other hand, when k < 0, the graph of the inverse variation function is a hyperbola that opens upwards or downwards, depending on the sign of k. When k < 0, the hyperbola opens downwards and the two branches of the hyperbola move toward the x-axis as x increases. This means that as x increases, the value of y increases. When x approaches 0 from the right or left, y approaches negative infinity.

In both cases, the inverse variation function is undefined for x = 0, as division by zero is undefined.

The measure of the angle between the end of the shadow and the vertical side of the building is approximately 71 degrees.

Given the building is 290 feet tall and casts a 100 foot shadow.

Let x be the angle formed between the end of the shadow and the vertical side of the building.

Therefore, we can construct the following diagram;

From the diagram;

The tangent function relates the angle and the opposite side of a right triangle.

Therefore;

Tangent = opposite/adjacent

Tangent x = opposite/adjacent

Tangent x = 290/100

We can now take the inverse tangent of both sides;

x = tan^-1 (290/100)

x = 71.57 degrees, correct to two decimal places.

Therefore, the measure of the angle between the end of the shadow and the vertical side of the building is approximately 71 degrees.

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Answer:

m∠ACD = 40°

Step-by-step explanation:

(4x + 2) + (6x - 12) = 8x,

10x - 10 = 8x,

2x = 10,

x = 5

8(5) = 40°

Answer:

see below

Step-by-step explanation:

for 1)

angle y = 180 - 110 = 70 degrees

angle z = angle y = 70 degrees

angle x = 89 degrees

for 2)

angle 1 = 180 - 85 = 95 degrees

angle 2= 180 - 95 - 85 degrees

angle 3 = 180-95 = 85 degrees

for 3)

m angle 3 = 25 degrees, same as m angle 1

Answer:

slope m=--3/-2=-3/2 is required slope

Answer:

m = -3, b = -2

Step-by-step explanation:

The equation is written in the form of slope-intercept, where m = slope and b = y-intercept.

The slope is the number before x. For the equation y = -3x - 2, it's -3.

The y-intercept is the constant. For the equation y = -3x - 2, it's -2.

Hence, m = -3, and b = -2.

\(\rule{350}{4}\)

\(\frak{-Dream-}\)

Answer:

the answer would be -2

Step-by-step explanation:

Answer:

Yes they are.

Step-by-step explanation:

18/24 * 3.5/3.5 (which equals 1) = 63/84

so yes

You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

Answer:

C. 1,120 cubic inches

Explanation:

To find the total volume, we will divide the solid as follows:

The edge with a length equal to 10 in was calculated as:

18 in - 8 in = 10 in

Because 18 in is the length of the largest height of the figure and 8 in is the length of the smaller height.

Now, the volume of a rectangular prism can be calculated as:

Volume = Length x Width x Height

So, the volume of solid 1 is equal to:

V₁ = 12 in x 4 in x 10 in

V₁ = 480 in³

In the same way, the volume of solid 2 is equal to:

V₂ = 20 in x 4 in x 8 in

V₂ = 640 in³

Therefore, the total volume of the solid is the sum of both parts. Then:

V₁ + V₂ = 480 in³ + 640 in³

V₁ + V₂ = 1120 in³

So, the answer is C. 1,120 cubic inches

Based on the cost of the copy paper and the discount on ink cartridges, the cost of the ink cartridge is $15 each.

First find the amount paid for the ink cartridges:

= Total spent - cost of copy paper

= 175 - 45

= $130

He got a discount of $2 per cartridge. For 10 cartridges he got a discount of:

= 2 x 10

= $20

The cost of each ink cartridge is:

= (Amount spent on ink cartridges + Discount) / Number of cartridges

= (130 + 20) / 10

= $15 each

In conclusion, each cartridge cost $15.

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