Simplify: -5(3n-1)-4+8n

Hello!

The distance, d, is less than 200 miles.

B. d > 200

The value of x will be 18.67 for the given data of the triangle.

We have,

Thale's theorem:

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

Given that the sides of the triangle are divided into two parts,

For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.

The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-

x / ( x + 7 ) = 16 / 22

22x = 16x + 112

6x = 112

x = 112 / 6

x = 18.67

Therefore, the value of x will be 18.67.

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complete question;

Find the values of x and y. Find value of x.

y=2/3x-4 is the equation of the line where 2/3 is the slope.

We have to find the equation of line which is passing through points (0, -4) and (3, -2).

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁.

Slope = -2+4/3-0

=2/3

Now let us find the y intercept.

-4=2/3(0)+b

b=-4

The equation of line is y=2/3x-4.

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Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Answer:

92 degrees

Step-by-step explanation:

180-88

=92

~rere

Answer:

Everything but C.

I think.

Step-by-step explanation:

Similar triangles have the same angles and ratios of side lengths.

Do not be surprised if I'm wrong about B.

The required 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.

Find the critical value (t*) for a 95% confidence level and (n - 1) degrees of freedom.

The degrees of freedom (df) is equal to the sample size minus 1 (df = 7 - 1 = 6). From a t-table or statistical software, the critical value for a 95% confidence level and df = 6 is approximately 2.447.

Calculate the standard error of the mean (SE).

The standard error of the mean is given by SE = (sample standard deviation) / sqrt(sample size).

\(SE =\dfrac{41.96}{\sqrt{7}}\)

   ≈ 15.85

Calculate the margin of error (MoE).

The margin of error is MoE = (t*) * SE.

MoE ≈ 2.447 * 15.85
        ≈ 38.78

Calculate the confidence interval.

The confidence interval is given by: Mean ± MoE.

Mean ± MoE ≈ 306.07 ± 38.78

Calculate the lower and upper bounds of the confidence interval.

Lower bound ≈ 306.07 - 38.78
                       = 267.29

Upper bound ≈ 306.07 + 38.78
                       = 344.85

Therefore, the 95% confidence interval for the mean breaking force of acrylic bone cement is approximately 267.29 to 344.85 newtons.

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Correct options are -10 and 10

-7 + (-10² - 19)³/⁴ = 20

-7 + (100 - 19)^3/4 = 20

-7 + (81)^3/4 = 20

-7 + 27 = 20

20 = 20

RHS = LHS

-7 + (10² - 19)^3/4 = 20

-7 + (100 - 19)^3/4 = 20

-7 + (81)^3/4 = 20

-7 + 27 = 20

20 = 20

RHS = LHS

Rest options are incorrect

Answered by Gauthmath must click thanks and mark brainliest

Answer:

B and C, so 10 and -10

Step-by-step explanation:

The opposite numbers that have a distance of 18 units between them on a number line are: -9 and 9.

The distance on a number line between two numbers is the number of units that separates both numbers.

Opposite numbers have the same distance to point zero on a that lies between them. For example, 9 on a number line is 9 units from point 0. -9 is also 9 units. 9 is the opposite number of -9.

Distance between -9 and 9 = |-9 - 9| = |-18| = 18 units.

Therefore, the opposite numbers that have a distance of 18 units between them on a number line are: -9 and 9.

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Answer:

The value of f(3) = -2.

Step-by-step explanation:

First of all, let's find f(2).

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

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

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

Now, we can find f(3):

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

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

Therefore, the value of f(3) = -2.

I hope it helps you!

Answer:

The velocity is v(t) = 2*t + a

a) we want to find the average velocity betwen t = 0 and t = 1.

We can do this as:

Average = (v(1) + v(0))/2 = (2*1 + a + 2*0 + a)/2 = 1 + a

b) now we want to find the total distance traveled in the time lapse from t = 0 to t = 4.

For this we can see the integral:

\(d = \int\limits^4_0 {2*t + a} \, dt = 4^2 + a*4 - 0^2 - a*0 = 4^2 + a*4 = 16 + a^2\)

What is provided won't really end up being an equation... however. you can just solve for x if you wanted

8x+7-3=-20

8x+4=-20

8x=-24

x=-3

Answer:

x=-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

I can't really read or make out what is intended by the choices, but I can give you an answer (I hope).

a = 1

b = 3

c = 3

x1 = (-b +/- sqrt(b^2 - 4ac) )/2a

x1 = (-3 +/- sqrt(3^2 - 4*1*3)) /2(1)

x1 = (-3 +/- sqrt(9 - 12) )/2

x1 = (-3 +/- sqrt(-3) ) / 2

x1 = -1.5 + sqrt(3)*i/2

x2 = -1.5 - sqrt(3)i / 2

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

Answer:

0.3125

Step-by-step explanation:

10 / 2 is 5

5 / 2 is 2.5

2.5 / 2 is 1.25

1.25 / 2 is 0.625

0.625 / 2 is 0.3125

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

3*10^4

Step-by-step explanation:

\(9 \times {10}^{2} = 900 \\ 3 \times {10}^{ - 2} = 0.03 \\ 900 \div 0.03 = 30000 \\ 30000 = 3 \times {10}^{4} \)

Answer:

√4 = 2 therefore √4 × √4 = 2 × 2 =4

√121 = 11 and √100 = 10

therefore √121 - √100 = 11 - 10 = 1

the This problem uses permutation and combination. The formula to find the permutation is

while the formula to find the combination is

We need to know what type of problem the given is so that we can choose what equations we will be using on the equation above.

7. This problem is a combination problem since we want to know the total combinations of games that are possible for n = 14 and you have r = 6. The total combination is

Hence, there are 3003 ways you can choose six games.

8. We want to know how many ways a trumpet player can be arranged in a marching band lineup. We have n = 0 while our r here is also equal to 9 because we are arranging all the trumpet players in a different manner. Hence, using the permutation equation, we have

Hence, they can be arranged 362880 times.

9. This problem is a combination problem since we want to know how many possible arrangements can be done if a group that composed of n = 7, we arranged r = 4. Hence, using a combination equation, we have

Hence, they can be arranged in 35 ways.

10. Since we are dealing with arrangements, this is a permutation problem. We have n = 18 and we will arrange them in r = 3 ways. Hence, the total number of permutations possible is

Hence, they can be arranged in 4896 ways.

11. There are 12 letters present in the word INDIANAPOLIS. Since there are repetitions of letters, we will consider those. We have 3 I's, 2 A's, 2 N's. The possible permutation for the distinct arrangement of letters for INDIANAPOLIS can be computed as

The word INDIANAPOLIS can be arranged 19958400 without repetition of letters in the same placement.

12. This problem is a combination problem. We have n = 26 goldfishes and Ben wants to choose r = 5. Using the combination equation, we have

The total amount to each person end up paying $20.54.

To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.

To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.

The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.

Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.

To split this evenly among the five people, we divide by 5:

$102.72 ÷ 5 = $20.54

So each person will end up paying $20.54.

20% of $85.60 is ($85.60 * 0.20) = $17.12

Add the tip to the total bill:

$85.60 + $17.12 = $102.72

Divide the total amount by the number of people (5): $102.72 / 5 = $20.54

Therefore, the answer is B. $20.54.

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Given :

32 fl + 1Qt + 964 oz = ??

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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3. Triangle ABE and triangle BAD

4. Triangle AED and triangle BDE

Explanation

in any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length . The diagonals are also of equal length.also When all three sides are equal to each other on both triangles, the triangle is congruent

so

Step 1

1. Triangle ABE and triangle DBE

so, option 1 is Not true

Step 2

2. Triangle ABD and triangle DAE

so, option 2 is Not true

Step 3

3. Triangle ABE and triangle BAD

we can see both triangles have the same base and the same longest side ( diagonal of the trapezoid), so

Options 3 is TRUE



4. Triangle AED and triangle BDE

we can see both triangles have the same base and the same longest side ( diagonal of the trapezoid), so

Options 4 is TRUE

Step 4

finally



so, option 5 is Not true

therefore, the answer is

3. Triangle ABE and triangle BAD

4. Triangle AED and triangle BDE

I hope this helps you

The value of the standard deviation does not change and remains the same.

Given, a retired statistic professor has recorded final exam results for decades. the mean final exam score for the population of a student is 82.4 with a standard deviation of 6.5.

The mean μ = 82.4

The standard deviation σ = √[ ((x - μ)2 + (y - μ)2 + (z - μ)2)/3 ]

we have to find the variance,

We now add a constant k to each data value and calculate the new mean μ'.

μ' = ((x + k) + (y + k) + (z + k)) / 3 = (x + y + z) / 3 + 3k/3 = μ + k

We now calculate the new mean standard deviation σ'.

σ' = √[ ((x + k - μ')2 +(y + k - μ')2+(z + k - μ')2)/3 ]

Note that x + k - μ' = x + k - μ - k = x - μ

also y + k - μ' = y + k - μ - k = y - μ and z + k - μ' = z + k - μ - k = z - μ

Therefore σ' = √[ ((x - μ)2 +(y - μ)2+(z - μ)2)/3 ] = σ

If we add the same constant k to all data values included in a data set, we obtain a new data set whose mean is the mean of the original data set PLUS k. The standard deviation does not change.

Hence, the standard deviation does not change.

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A square root function that is represented by the graph include the following: A. f(x) = √(4x + 8).

In Mathematics and Geometry, a square root function can be defined as a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.

In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

Therefore, the required square root function is given by;

f(x) = √(4x + 8)

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Points obtained on the quiz increases when the points are earned from

correct responses.

Reasons:

The number of questions in the quiz = 25 questions

Number of points for correct answers = 3 points

Number of points lost for incorrect answers = 2 points

Points for question not answered = 0 points

Nature of total points = Positive and negative

Required:

The minimum score one can get on the quiz.

Solution:

The minimum score that can be obtained is when all responses result in a

loss of points, due to the questions being incorrect.

Therefore;

The minimum score = 25 × (-2) = -50

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