Tell one the lines for the given points are parallel, perpendicular, or neither. Just your answer.
Line 1: (2, -3), (-4, -6)
Line 2: (-3, 2), (2, -8)

Answer: A

Step-by-step explanation:

Well four weels in every car so it’s 4 times cars (a)

4 times A=W

Step-by-step explanation: im smart also if u do multiply it by a by 4 it equals  W

The simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

The given expression is simplified as follows;

The given expression is written as;

ab³/a⁴b  +  (c²)³

To simplify the expression given above, we will divide the fraction with the common factor as follows;

From the numerator; ab³, we will factor out "ab"

From denominator; a⁴b, we will factor out "ab"

The resulting expression becomes;

ab³/a⁴b  +  (c²)³

= b²/a³  +  c⁶

Note: for the power of c, we simplify by multiplying 2 and 3 = 6

Thus, the simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

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Answer:

7^-3+5 (5 goes up and becomes+5)

so ans is 7^2

Answer:

\( \frac{ {7}^{ - 3} }{ {7}^{ - 5} } = {7}^{ - 3 + 5} = {7}^{2} \)

Answer: annualcreditreport.com

Step-by-step explanation: The only authorized website for free credit reports, or call 1-877-322-8228

Answer:

4/5

Step-by-step explanation:

Answer:

4/5 is the lowest expression for 2/3÷5\6

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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Answer:

(A)

Step-by-step explanation:

The survey follows of women's height a normal distribution.

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

The new height requirements would be 57.7 to 68.6 inches

The given parameters are:

\mathbf{\mu = 63.5}μ=63.5 --- mean

\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation

(a) Percentage of women between 58 and 80 inches

This means that: x = 58 and x = 80

When x = 58, the z-score is:

\mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

This gives

\mathbf{z_1= \frac{58 - 63.5}{2.5}}z

1

=

2.5

58−63.5

\mathbf{z_1= \frac{-5.5}{2.5}}z

1

=

2.5

−5.5

\mathbf{z_1= -2.2}z

1

=−2.2

When x = 80, the z-score is:

\mathbf{z_2= \frac{80 - 63.5}{2.5}}z

2

=

2.5

80−63.5

\mathbf{z_2= \frac{16.5}{2.5}}z

2

=

2.5

16.5

\mathbf{z_2= 6.6}z

2

=6.6

So, the percentage of women is:

\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z

2

)−P(z<z

1

)

Substitute known values

\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)

Using the p-value table, we have:

\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034

\mathbf{p = 0.9860948}p=0.9860948

Express as percentage

\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%

\mathbf{p = 98.60948\%}p=98.60948%

Approximate

\mathbf{p = 98.61\%}p=98.61%

This means that:

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.

(b) Change of requirement

Shortest = 1%

Tallest = 2%

If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).

So, we have:

Shortest = 1% to 98%

This means that:

The p values are: 1% to 98%

Using the z-score table

When p = 1%, z = -2.32635

When p = 98%, z = 2.05375

Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

Substitute \mathbf{z = -2.32635}z=−2.32635

\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=

2.5

x−63.5

Multiply through by 2.5

\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5

Make x the subject

\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5

\mathbf{x = 57.684125}x=57.684125

Approximate

\mathbf{x = 57.7}x=57.7

Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=

2.5

x−63.5

Multiply through by 2.5

\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5

Make x the subject

\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5

\mathbf{x= 68.634375}x=68.634375

Approximate

\mathbf{x= 68.6}x=68.6

Hence, the new height requirements would be 57.7 to 68.6 inches

Answer:

4−12x

Step-by-step explanation:

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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A. There are\(\boxed{3}\)vertices of degree 5.

B. the two vertices of the same degree are \(\boxed{2}.\)

A. Let a, b, c, and d be the number of vertices of degree 1, 3, 5, and 6, respectively. We have the following system of equations based on the given information:

\(a + b + c + d &= 21 \ a + 3b + 5c + 6d &= 2 \cdot 21 - 15 = 27 \ d &= 1 \c &= ?\end{align*}\)

The second equation comes from the handshaking lemma, which states that the sum of the degrees of the vertices in a graph is equal to twice the number of edges. Since this is a tree, it has n-1 edges, where n is the number of vertices. We know that there are 15 leaves, which are vertices of degree 1, so the sum of the degrees of the other vertices is 2(21-15)=12. We also know that there is one vertex of degree 6, so d=1.

Solving for c, we get c=3. Therefore, there are\(\boxed{3}\)vertices of degree 5.

B. Let a, b, c, d, e, f, and g be the number of vertices of degree 2, 4, 5, 6, x, and leaves, respectively. We have the following system of equations based on the given information:

\(a + b + c + d + e + f + g\)

&= \(35 \ 2a + 4b + 5c + 6d + xe + g &= 2 \cdot 35 - 2 - 3 \cdot 4 - 5 - 6 \cdot 2 = 10 + xe \x &\geq 2 \x &= ?\end{align*}\)

The second equation comes from the handshaking lemma, and we use the given information to find the total sum of degrees. We also know that \(x\geq 2\), since the graph contains at least two vertices of degree x.

Since \(g=25\), we have a =\(35 - 25 - b - c - d - e - f = 10 - b - c - d - e - f.\)Substituting this into the second equation, we get \(2(10-b-c-d-e-f)+4b+5c+6d+xe+25=10+xe\), which simplifies to \(b+3c+4d+xe=7-2e.\)

Since b, c, d, e, and f are all non-negative integers, we see that x=2 is the only possibility. This is because if \(x\geq 3\), then the left side of the equation \(b+3c+4d+xe=7-2e\) would be at least 7, but the right side is at most 5, a contradiction. Therefore, the two vertices of the same degree are \(\boxed{2}.\)

C. Let a, b, c, and d be the number of vertices of degree 2, 3, 4, and 5, respectively. We have the following system of equations based on the given information:

\(a + b + c + d &= 50 \ a + 2b + 3c + 4d + 5d &= 2 \cdot 50 - 1 = 99 \\end\)

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Answer: 9.43$ is the answer

Step-by-step explanation:

P(red) = 12/(12+10+5+4+29)

= 12/60

= 1/5

= 0.2

= 20%

The complete factorization of the polynomial is:

h(x) = (x - 3)*(x - 1)*(x + 2)

Here we have the polynomial:

g(x)= x³ - 2x² - 5x + 6

And we know that x = 3 is a zero, then (x - 3) is a factor.

So if f(x) = a*x² + b*x + c

We can write:

h(x) = (x - 3)*f(x)

Let's find f(x).

Expanding that:

x³ - 2x² - 5x + 6 = (x - 3)*(a*x² + b*x + c)

x³ - 2x² - 5x + 6 = ax³ + bx² + cx - 3ax² - 3bx - 3c

x³ - 2x² - 5x + 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c

Comparing like terms, we can see that:

a = 1

b - 3 a = -2

c - 3b = -5

-3c = 6

With the first and last equation we can get:

a = 1

c = 6/-3 = -2

Now with one of these values and the second or third equation we can find the value of b.

b - 3 a = -2

b - 3*1 = -2

b - 3 = -2

b = -2 + 3 = 1

Then:

f(x)  = x² + x - 2

The zeros of this quadratic function are given by:

x = -1±3 / 2

so, we get,

x = (-1 + 3)/2 = 1

x = (-1 - 3)/2 = -2

Then we can factorize this as:

f(x) = (x - 1)*(x + 2)

And then we can write h(x) as:

h(x) = (x - 3)*(x - 1)*(x + 2)

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complete question:

For the polynomial below, 3 is a zero.

g(x)= x³ - 2x² - 5x + 6

Express g (x) as a product of linear factors.

First, notice that the two sides of the right triangle are equal, then, using the pythagorean theorem,we get:

therefore, x = 3*sqrt(2)

The two solutions of the equation:

(6x - 12)/3 + 4 = 18/x

Are x = 3 and x = -3

Here we have the following equation:

(6x - 12)/3 + 4 = 18/x

Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.

Now, let's start by simplifying the left side:

(6x - 12)/3+  4 = 18/x

2x - 4 + 4 = 18/x

2x = 18/x

Now we can multiply both sides by x so we get:

2x^2 = 18

Now divide both sides by 2:

x^2 = 18/2

x^2 = 9

Finally, apply the square root in both sides:

√x^2 = ±√9

x = ±3

The two solutions are x = 3 and x = -3

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Answer:  $165

Step-by-step explanation:

It appears that the interest rate is simple interest, that is calculated at the end of each year.

if that is the case, then Mark will receive an interest payment of $5000 x 2.1 =  $105

Charles will receive an interest payment of $5000x 0.054 = $270

so, Charles will receive $270 - 105 = $165 more than Mark

Answer:

Use the Pythagorean theorem

Step-by-step explanation:

The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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Answer: option (2)

Step-by-step explanation:

The slanted line has a negative slope.

Also, the line is shaded below.

This leaves option (2) as the correct answer.

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

slope: \(-\frac{8}{11}\)

slope-intercept form: y= \(-\frac{8}{11}\)x+\(\frac{248}{11}\)

Step-by-step explanation:

Hope this helps!

Answer: Five times a number minus seven equals eleven.

Answer...

32!!

Step-by-step explanation:

Subtract the numbers to see a pattern of decreasing odd numbers

167-118 = 49

118-82 = 36

82-57 = 25

57-41 = 16

The difference between is 13 then 11 then 9 so the next number should be x-7

Answer: 630

Step-by-step explanation:

\(3000 * 21 /100 = 3000 * 0.21 = 630\)

9514 1404 393

Answer:

  (c)  ∠ECF and ∠BCF

Step-by-step explanation:

Complementary angles total 90°. Here, 90° angle BCE is divided by ray CF into two complementary angles. They necessarily have a total of 90°.

  ∠ECF and ∠BCF

Answer:

math          way  can help

Step-by-step explanation:

Answer:

She would get 0.25 cents

Step-by-step explanation:

what you would do is add 24.97, 17.23 and 7.55 together and get a total of 49.75 and subtract that from 50 and get 0.25

please mark me brainliest

Answer:0.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

10

Ws