18 more than the product of k and 5 Evaluate the expression for the value of the variable, k : 7 Please type your answer in the box below. NUMBERS ONLY!

Correct order of steps for constructing an angle bisector of ∠DEF using only a straightedge and compass is option C.

A angle bisector is a line that bisects an angle into two equal angles. A bisector means dividing a shape or object into two equal parts. When we draw a ray that bisects an angle into two equal parts of equal magnitude, it is called a bisector.

Given,

Compass and straightedge to draw angle bisector of ∠DEF

Steps to draw angle bisector are:

1. Draw a circle with a radius less than DE and center E, and label

the points of intersection G and H.

2. Draw a line from point G to point H.

3. Draw a circle with radius GH and center G and another circle

with radius GH and center H, and then draw an equilateral triangle.

4. Use a straightedge to connect E to the rightmost vertex of the

equilateral triangle.

Hence, option C describes correct order of constructing an angle bisector of ∠DEF using only a straightedge and compass.

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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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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

a. volume= 784 is the answer

Answer:

hmmm

Step-by-step explanation:

expanded form true

Step-by-step explanation:

The probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9. Option A is correct.

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Pr(the letter on it will fall between "F" and "Q" in the alphabet) = 5/9

Hence the probability that the letter on it will fall between "F" and "Q" in the alphabet is 5/9

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Answer:

x=73

Step-by-step explanation:

The two angles are equivalent, therefore x=73

Answer:

You need to use the graph's equation and find the answer of y when x is 0 as this will give y when it is on the y axis.

To do this, substitute in 0 were x is in the equation and you will find the y intercept

Answer:

2048 I think

Step-by-step explanation: 8 to the power of 3 times 4

The time it will take for your account balance to reach $10,000 is given as follows:

t = 10.8 years.

The balance of an account after t years, using continuous compounding, is given as follows:

A(t) = A(0)e^(kt).

In which:

The parameters for this problem are given as follows:

A(0) = 6500, k = 0.04.

Hence the time needed for a balance of $10,000 is obtained as follows:

10000 = 6500e^(0.04t)

e^(0.04t) = 10000/6500

0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential

t = ln(10000/6500)/0.04

t = 10.8 years.

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W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. If W is a vector space because it can be expressed as W = span {v1,. . . .,vn}. So the option A is correct.

Let W be the set of all vectors

\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\)

where b and d are real.

We can write the matrix as;

\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]=b\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right]+d\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)

Remember that if aα + bβ ∈ W, ∀ α, β ∈ W and a, b are scalers, then W is a vector space. Let,

\(\alpha=\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right],\beta=\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)

These are independent vectors.

bα + dβ ∈ W. where α, β are independent vectors.

That is WE is a span of {α, β}.

Hence, W is a vector space.

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The complete question is:

Let W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. Determine if W is a vector space and check the correct answer below.

A. W is a vector space because it can be expressed as W = span {v1,. . . .,vn}.

B. W is a vector space because it contains the zero element.

C. W is not a vector space because it does not have additive closure

D. W is not a vector space because it does not have a zero element.

Answer:

A it's a because 45 x 10³ is 75

Answer:

5/w-v

Step-by-step explanatio

Answer:

Step-by-step explanation:

S=

S = 55√3

Answer:

s=✓3(1+2+3+...10)

s=✓3[10/2×(10+1)]

here, applying sum of 1st n natural number is n/2×(n+1)

so, s=✓3×5×11

hence, s=55✓3.

Answer:

...then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

a = amount that paid 11% profits

b = amount that lost 5% profits

we know that whatever those values are, a + b = 28000.

how much is 11% of "a"? well, (11/100) * a = 0.11a.

how much is 5% of "b"? well (5/100) * b = 0.05b.

\(a+b=28000\implies b=28000 - a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{paid~11\%}{0.11a}~~ \stackrel{\stackrel{loss}{\downarrow }}{-} ~~\stackrel{lost~5\%}{0.05b}~~ = ~~\stackrel{overall~paid}{2920} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.11a~~ - ~~0.05(28000-a)}=2920\implies 0.11a+0.05a-1400=2920 \\\\\\ 0.16a-1400=2920\implies 0.16a=4320\implies a=\cfrac{4320}{0.16} \\\\\\ \boxed{a=27000}~\hspace{10em}\boxed{\stackrel{28000-a}{b=1000}}\)

9514 1404 393

Answer:

  y = -x +3

  m = -1

  b = 3

Step-by-step explanation:

To solve the given equation for y, divide by the coefficient of y.

  (-3y)/(-3) = (3x -9)/(-3)

  y = -x +3

__

The slope is the x-coefficient, M = -1.

__

The y-intercept is the added constant, B = 3.

__

Both equations are graphed in the attachment. Texture has been added to the original so you can see the graphs are the same line.

Answer: \(g(-2)=2a\)

Step-by-step explanation:

\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)

The function g(-2) from the given functions is 2a.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(-2)=a and (f·g)(-2)=2a².

Here, (f·g)(-2)=2a²

f(-2)·g(-2)=2a²

a·g(-2)=2a²

g(-2)=2a²/a

g(-2)=2a

Therefore, the function g(-2) is 2a.

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There are 8 possible outcomes, all equally likely (if we assume each gender is equally likely). Hence the choice is 3/8. We can also think about it in at least one more way: You identified all the possible ways to get 2 boys and one girl.

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

Is the question complete

The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Answer:

a) 0.1927 = 19.27% probability that none of the selected adults say that they were too young to get tattoos.

b) 0.3651 = 36.51% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c) 0.5578 = 55.78% probability that the number of selected adults saying they were too young is 0 or 1.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they say they were too young to get tattoos, or they do not say this. The probability of a person saying this is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

24​% say that they were too young when they got their tattoos.

This means that \(p = 0.24\)

Six adults

This means that \(n = 6\)

a. Find the probability that none of the selected adults say that they were too young to get tattoos.

This is P(X = 0). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{6,0}.(0.24)^{0}.(0.76)^{6} = 0.1927\)

0.1927 = 19.27% probability that none of the selected adults say that they were too young to get tattoos.

b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.

This is P(X = 1). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{6,1}.(0.24)^{1}.(0.76)^{5} = 0.3651\)

0.3651 = 36.51% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c. Find the probability that the number of selected adults saying they were too young is 0 or 1.

This is:

\(p = P(X = 0) + P(X = 1) = 0.1927 + 0.3651 = 0.5578\)

0.5578 = 55.78% probability that the number of selected adults saying they were too young is 0 or 1.

I believe the answer is C! Because..

Answer:

c. The square root of 12 is between 4 & 5.

Step-by-step explanation:

a. The square root of 112 is between 10 & 11

i. Find the squares of 10 & 11

10² = 100

11² = 121

Because 100 < 112 < 121, we know the square root of 112 is between 10 & 11

b. The square root of 180 is between 13 & 14

i. Find the squares of 13 & 14

13² = 169

14² = 196

Because 169 < 180 < 196, we know that the square root of 180 is between 13 & 14

c. The square root of 12 is between 4 & 5.

i. Find the squares of 4 & 5

4² = 16

5² = 25

Because 12 < 16 & 25, we know that the square root of 12 is not between 4 & 5.

d. The square root of 5 is between 2 & 3.

i. Find the squares of 2 & 3

2² = 4

3² = 9

Because 4 < 5 < 9, we know that the square root of 5 is between 2 & 3.

Answer:

Step-by-step explanation:

we divide every term by 2 and we get:

10x/2 + 6y/2 +5/2= 5x +3y+5/2