In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 4 is 43 degrees, then the measure of angle 6 is 43 degrees and the measure of angle 5 is ______ degrees. The measure of angle 8 is 43 degrees and the measure of angle 1 is _____ degrees.

Answer:

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Answer:

77/60

Step-by-step explanation:

Answer:

2661,62 ml

Step-by-step explanation:

Answer:

2661,62 milliliters are in 90 ounces

Step-by-step explanation:

If you're using US customary fluid ounces, your 90 fl oz is equal to 2661,62 ml when rounded off.

Answer:

X= i√2

Step-by-step explanation:

The number of arrangements of letters in REPETITION with the first E occurring before the first T is 362,880 - 40,320 = 322,560

To find the number of arrangements of letters in the word REPETITION where the first E occurs before the first T, we can approach the problem by breaking it down into simpler steps.

Step 1: We need to determine the total number of arrangements of the letters in REPETITION. Since there are 9 letters in the word, the total number of arrangements can be calculated using the formula for permutations of n objects taken r at a time, which is n!/(n-r)!. In this case, we have n=9 and r=9, so the total number of arrangements is 9! = 362,880.

Step 2: We need to count the number of arrangements where the first E occurs before the first T. To do this, we can first fix the positions of the first E and T in the word. There are 9 possible positions for the first letter, 8 remaining positions for the second letter, and so on, down to 1 possible position for the ninth letter. This gives us a total of 9x8x7x6x5x4x3x2x1 = 362,880 possible arrangements of the letters in REPETITION.

However, we want to exclude the arrangements where the first T appears before the first E. To do this, we can fix the position of the first T and count the number of arrangements of the remaining letters. There are 8 possible positions for the first T, and then 7 remaining positions for the second letter, and so on, down to 1 possible position for the eighth letter. This gives us a total of 8x7x6x5x4x3x2x1 = 40,320 arrangements where the first T appears before the first E.

Therefore, the number of arrangements of letters in REPETITION with the first E occurring before the first T is 362,880 - 40,320 = 322,560.

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The slope of the line that passes through the points (1, -1) and (5, -7) is -3/2. The correct option is A. -3/2

From the question, we are to determine the slope of the line that passes through the given points.

The slope, m, of a line that passes through the points (x₁, y₁) and (x₂, y₂) is given by

m = (y₂ - y₁) / (x₂ - x₁)

Where m is the slope

x₁, y₁) and (x₂, y₂) are points on the line

From the given information,

The given points on the line are (1, -1) and (5, -7)

Thus,

The slope of the line is

m = (-7 - (-1)) / (5 - 1)

m = (-7 + 1) / 4

m = -6 / 4

m = -3/2

Hence, the slope is -3/2

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The correct statements are:

There are four ways to choose the committee.

There are three ways to form the committee if person D must be on it.

If persons B and C must be on the committee, there are two ways to form the committee.

It is given that:

A membership committee of three is formed from four eligible members.

1)

There are four ways to choose the committee.

This statement is true.

since we have to choose 3 members out of the 4 members so we can use the method of combination.

2)

There are three ways to form the committee if person D must be on it.

This statement is also true.

since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

3)

If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

i.e. there are 35 combinations possible.

4)

If persons B and C must be on the committee, there are two ways to form the committee.

if B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

5)

If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be in the committee then as in last option we have to choose any one of the two person left.

so possible number of ways are 2.

Hence, the statement is false.

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Answer:

8!

Step-by-step explanation:

add them together to get 16 then divide by 2 (the number of numbers you added) and you get 8!

Hope that helps, please mark me brainliest if it does :)

Answer:

Answer is 5.3

Step-by-step explanation:

I hope it's helpful!

Step-by-step explanation:

√(3 * 7 * 2 * 7 * 3 * 2 = √(2² * 3² * 7²) = 2 * 3 * 7 = 42.

√(13² * 5²) = 13 * 5 = 65.

Answer:

W = t + 200

Step-by-step explanation:

Number of words typed in the first letter = 200

The relationship between the total words typed, W and the number of seconds, t spent on the second letter :

W = number of words typed in first letter + t

W = 200 + t

Choosing any pair of values from the table :

W = 245 ; t = 45

W = 200 + 45

W = 245

Therefore, the number of words, W typed today can be represented as

W = 200 + t

Answer:

x = 15

Step-by-step explanation:

3x - 7 =38

3x = 38+7

3x = 45/3

x = 15

The correct coefficient of x is 5 and the correct equation is 5x-7=38.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3x-7=38.

Solution to given equation is

3x=38+7

3x=45

x=15

The teacher say the answer is 6 less than the answer she found.

Which is x=9

The teacher says that Joan copied the coefficient of x incorrectly

If equation is 5x-7=38

5(9)-7=38

38=38

Therefore, the correct coefficient of x is 5 and the correct equation is 5x-7=38.

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Answer:

I think D though I'm not sure

Step-by-step explanation:

Answer:

210 ways

Step-by-step explanation:

In the question, the combination should be computed.

Number of ways of selection 6 flowers = nCr =10C6

                                           \(\frac{n!}{r!(n-r)!}\)  =\(\frac{10!}{ 6!(10-6)!}\)

                                                        =3628800/17280

                                                       =210

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

Answer:

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

Step-by-step explanation:

explanation

Work Shown:

Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (3-3)/(2-10)

m = 0/(-8)

m = 0

The slope of any horizontal line is always zero due to the fact all y coordinates on this line are the same. When we pick two points from the line, the same y coordinates subtract to 0. We can have 0 in the numerator, but not in the denominator.

As the slope formula shows, we basically subtract the y coordinates together, and do the same for the x coordinates as well in the same order. Then we divide the differences.

The critical value of z for each hypothesis  test is 2.326

In this question, we are asked to use Excel to find the critical value of z for each hypothesis test. We are given a 2 percent level of significance for a two-tailed test. To find the critical value, we can use the NORM.S.INV function in Excel. The syntax for this function is =NORM.S.INV(probability).

We can enter the probability as 1 - (alpha / 2) for a two-tailed test, where alpha is the level of significance. We can then round the result to three decimal places.

To find the critical value for a 2 percent level of significance, two-tailed test, we can follow these steps:

Step 1: Calculate the value of alpha

Alpha = 2% = 0.02

Step 2: Calculate

1 - (alpha / 2)1 - (alpha / 2)

= 1 - (0.02 / 2)

= 0.99

Step 3: Use the NORM.S.INV function in Excel=NORM.S.INV(0.99)

This gives us a critical value of z = 2.326.

Therefore, the critical value of z for the hypothesis test with a 2 percent level of significance and a two-tailed test is 2.326.

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Answer:

b. No, because Debbie had gross income of more than $4,200 during the tax year.

Step-by-step explanation:

Qualifying relative refers to the person those who meet the five of the requirements of the Internal revenue Service or the IRS. They are :

-- The person is not a qualifying child.

-- Individual must be a citizen of U.S., Canada or Mexico or alien resident of the USA.

-- The person should be a relative of the tax payer for a complete and has a relationship with the tax payer which is either by blood or by donation.

-- The tax payer should be supporting a higher than half of the expenses of the person.

-- Individual must have less than a gross income of 4,200 dollar in the year 2019.

Since, gross income is 18,250 dollar of Debbie and therefore she is not a qualifying relative.

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Work Shown:

y = x^2 + 8x + 3 is the same as y = 1x^2 + 8x + 3

It is in the form y = ax^2 + bx + c

a = 1

b = 8

c = 3

Plug the values of a and b into the formula below to get the x coordinate of the vertex (h,k)

h = -b/(2a)

h = -8/(2*1)

h = -8/2

h = -4

Plug this into the original equation to get its paired y value. This will get us the value of k

y = x^2 + 8x + 3

y = (-4)^2 + 8(-4) + 3

y = 16 - 32 + 3

y = -13

This is the smallest y output possible. Therefore it is the minimum. The minimum occurs at the vertex (h,k) = (-4, -13)

We know we are dealing with a minimum because a = 1 is positive forming a parabola that opens upward. If a < 0, then the parabola would open downward to yield a maximum.

The random variable r has a mean μ = 10 and σ = 4. For the variable s, the μ = 7 and σ = 3. The mean of r-s will be obtained by arithmetic subtraction of the μ for r and a. The standard deviation isn't independent since it's obtained by square root of the variance of a distribution. The standard deviation will be obtained by obtained through the square root of the squared sum of σ.

μ (r-s) = μ(r) -μ(s)

μ (r-s) = 10 -7 = 3

σ (r) -σ(s) = √(σ (r))²+ (σ (s))²

σ (r) -σ(s) = √(4²+ 3²)

σ (r) -σ(s) = √(16+ 9)

σ (r) -σ(s) = √25 = 5

thus, the mean is 3 and the standard deviation is 5.

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Answer:

46.05degrees

Step-by-step explanation:

Given the following

Height of tree = 18ft (Opposite)

length of shadow = 25ft (hypotenuse)

Required

Angle of elevation

Sin theta = opp/hyp

Sin x = 18/25

sin x = 0.72

x = arcsin(0.72)

x = 46.05

Hence the angle of elevation of the sun is 46.05degrees

Answer:

7.55x\(10^{-1}\)

Step-by-step explanation:

Brainliest please

Answer:

7.55 × 10-1

hope this helps

D. The energy used is the same for both segments, the power while running is greater.

Walking and running both require energy, but the distance covered and the time taken are different. In this case, the person covers the same distance of 1 km in both segments.

Therefore, the energy used is the same for both. However, since running involves covering the same distance in less time, the power while running is greater. Power is the rate at which energy is used, and since running takes less time, the power output is higher.

D. The energy used is the same for both segments, the power while running is greater.

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Answer:

3x-15

Step-by-step explanation:

> First start off by rewriting with each term that has the same variable beside each other

5x+ x -3x+xy+2xy-3xy-4-2-9

> Start to combine like terms

3x + 0xy - 15

> Rewrite

3x-15

Answer:

$1.75

Step-by-step explanation:

Answer:

$1.75

7*25=175

add decimal point

Answer:

\(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\)

Step-by-step explanation:

Integrate v(t) with respect to time

\(\displaystyle \int(3t^3+30t^2+5)\,dt\\\\=\frac{3}{4}t^4+10t^3+5t+C\)

Plug-in initial condition to get C

\(\displaystyle s(0)=\frac{3}{4}(0)^3+10(0)^3+5(0)+C\\\\3=C\)

Thus, the position function is \(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\) given the velocity function and initial condition.

Answer:

area = 32

perimeter = 30

Step-by-step explanation:

Formulas:

Area of a parallelogram: A = bh

Perimeter of a parallelogram: P = 2 ( b + s )

Where h = height s = slant height and b = base length

Define:

b = 8

h = 4

s = 7

Plug in given values into formulas and calculate

A = (8)(4)

8 * 4 = 32

A = 32

P = 2 ( 8 + 7 )

8 + 7 = 15

2(15) = 30

P = 30

The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers. Assuming the rope makes a perfect circle, what is the length of this rope? Give your answer in terms of pi. kilometers.

∵ The rope completely circles the Earth

⇒ Length of the rope = Perimeter of the Earth

∵ Formula to calculate the perimeter (circumference) = 2πr

∵ Earth is mentioned as a circle here, it's radius is 6,371 km

Substituting the values in the formula, We get,

⇒ Perimeter of Earth = 2 × π × 6,371 km

Calculating further, We get,

⇒ Perimeter of Earth = 12,742π km

As stated earlier, perimeter of Earth = length of rope

⇒ The perimeter of Earth is 12,742π km

∴ The length of the rope is 12,742π km

The Length of rope circling the Earth in terms of π ( pi. ) is 12,742 km.

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Answer:

Graph A

Step-by-step explanation:

For a relation to be said to be a function, each x-value must have exactly one y-value assigned to it. That is, no domain value has two different range value assigned to it.

Therefore, graph A is a function, because exactly 1 range value is assigned to each domain value.