Find the midpoint of the segment with the following endpoints.
(-4,-9) and (4, -1)

Answer:

35 ;

32 + v

51.2

Step-by-step explanation:

If each observations in a particular set is increased or decreased by a uniform or fixed number, the mean of the resulting output will also increase by the same amount

Hence,

For 15 observations whose mean is 32

If each observation is increased by 3, then the resulting mean will also increase by 3 ; hence, new mean = 32 + 3 = 35

If each observation is decreased by v ; the resulting mean would also decrease by v ;

32 - v

If each observation is increased by 60% ; the resulting mean will be ;

(1 + 60%) * initial mean

(1 + 0.6) * 32

1.6 * 32 = 51.2

Answer:

\(\displaystyle f(x)=\frac{1}{6} x^3+x^2-\frac{3}{2} x-9\)

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

"The minimum number of hours is the distribution was 23."

So the lowest number of hours per week is 23

"The range was 17."

So from 23 we add 17 more hours to get the full range.

23 + 17 = 40

The maximum number of hours in the distribution is 40.

Answer:

gebiz hadi bir ben kusura siz

Step-by-step explanation:

sneidmd

Answer:

line segment A B

Step-by-step explanation:

it's really a ray, not a line segment

In circle D, the AB line segment is tangent to the circle.

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Since A line that only has one point where it crosses a circle is said to be tangent to the circle. The point of contact is the location where the circle and the tangent meet.

Thus, in the given figure AB is the tangent line segment of the circle D.

From the properties of the circle, we can state that,

FE is Diameter,

The CD is representing the radius, and

GH is representing the Secant line of the circle D.

Therefore, In circle D, the AB line segment is tangent to the circle.

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Answer:

Earned Income because she is working full time, but also adds the extra 20$ for when she tutors in her free time

Step-by-step explanation:

\(\\ \sf\longmapsto g(x)=-2x^2+1\)

\(\\ \sf\longmapsto g(2)\)

\(\\ \sf\longmapsto -2(2)^2+1\)

\(\\ \sf\longmapsto -2(4)+1\)

\(\\ \sf\longmapsto -8+1\)

\(\\ \sf\longmapsto -7\)

Answer:

\(g(2)=-7\)

Step-by-step explanation:

We are given \(g(x)= -2x^2 +1\). And our input value is \(g(2)\). Therefore, replace "x" with 2 for every x you see, then solve:

\(g(x)= -2x^2 +1\\\\g(x)=-2(2)^2+1\)

2 squared

\(2 \times 2 = 4\)

Solve the parenthesis. Then complete solution.

\(g(x)=-2(4)+1\\-2 \times 4 = -8\\-8 + 1 = -7\)

\(g(2)=-7\)

To draw a distance vs time graph for this problem, we would plot the distance on the y-axis and time on the x-axis. We would start at time t = 0, which is 8:59 am, and plot the distance that Suzette has traveled up to that point.

How to do?

For the first hallway, Suzette runs 35.0 m at a speed of 3.50 m/s. This means she covers this distance in 10 seconds (35.0 m / 3.50 m/s). So at t = 10 seconds, we would plot a point on the graph at a distance of 35.0 m.

For the second hallway, Suzette covers 48.0 m at an average speed of 1.20 m/s. This means it takes her 40 seconds (48.0 m / 1.20 m/s) to cover this distance. So at t = 50 seconds, we would plot a point on the graph at a distance of 83.0 m (35.0 m + 48.0 m).

For the final hallway, Suzette covers 60.0 m at a speed of 5.00 m/s. This means she covers this distance in 12 seconds (60.0 m / 5.00 m/s). So at t = 62 seconds, we would plot a point on the graph at a distance of 143.0 m (35.0 m + 48.0 m + 60.0 m).

To determine if Suzette makes it to class on time, we need to find how many seconds she arrives before or after the bell, which rings at t = 60 seconds. Suzette arrives at t = 62 seconds, which means she is 2 seconds late for class.

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Answer:

9) 7sqrt(2)

11) 8sqrt(2)

13) 3sqrt(7)

Step-by-step explanation:

9) factor the radicand 98 into 7*7*2, 7^2*2, and then factor out the 7 squared to the outside of the radical to get 7 square roots of 2

11) factor the radicand 128 into 8*8*2, 8^2*2, and then factor out the 8 squared to the outside of the radical to get 8 square roots of 2

13) factor the radicand 63 into 3*3*7, 3^2*2, then factor out the 3 squared outside of the radical to get 3 square roots of 7

Answer:

w = 105° because 180 - (45 + 60) = 75 and 180 - 75 = 105.

Step-by-step explanation:

To find w, we first need to find z.

We can find z by setting up an equation. As we know, all angles in a triangle will add up to 180, we can say that z + 45 + 60 = 180.

We can also rewrite this as 180 - 45 - 60 = z, or 180 - (45 + 60) = z.

Solving this, we get z = 75.

We can also see that w and z are supplementary angles, meaning they will add up to 180.

Therefore, we can come to the conclusion that w + 75 = 180, or 180 - 75 = w.

Solving this we get:

w = 105

Therefore, w = 105°.

The equivalent expression to  4√3 is  √48 or 6.928.

An equivalent expression is an expression that has equal value to the original given expression.

From the given expression, we can determine its equivalent expression as follows;

The given expression = 4√3

We can square 4 and multiply it by 3 and enclose all with the square root.

4√3 = √(4² x 3 )

= √ ( 16 x 3 )

= √ ( 48 )

= 6.928

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The first equation is incorrect.

The second equation is correct.

The third equation is correct.

Let's go through each equation and determine whether it is correct or incorrect:

(b²+7b-9)+(4b-6b²) = -8b² + 14b-9

To determine if this equation is correct, we need to simplify both sides and check if they are equal.

On the left side:

(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9

On the right side:

-8b² + 14b - 9

Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.

(4a+6)-(3a²-9a+1)=-3a²+ 13a +5

Again, we need to simplify both sides of the equation and check if they are equal.

On the left side:

(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5

On the right side:

-3a² + 13a + 5

Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.

(12c-8c²)+(5c²- 10c) = -3c²+2c

Again, let's simplify both sides and compare them.

On the left side:

(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c

On the right side:

-3c² + 2c

Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.

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Answer:

B

Step-by-step explanation:

The x component must be positive (3)

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

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8

In this pattern, we have 4 12 then 20.

We can see that the difference 4 and 12 is 8.

Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Answer:

A is true

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

\(\textbf {Allow me to assist you.}\)

\(\textrm {Let's simplify the terms under the radicals.}\)

\(\mathsf {\sqrt{8} - \sqrt{72} + \sqrt{50}}\)

\(\mathsf {\sqrt{2 \times 2^{2}} - \sqrt{2 \times 6^{2}} + \sqrt{2 \times 5^{2}}}\)

\(\mathsf {2\sqrt{2} - 6\sqrt{2} + 5\sqrt{2}}\)

\(\boxed {\sqrt{2}}\)

\(\textbf {The answer is A.}\)

Answer:

It is 51

Step-by-step explanation:

because you have to add the 80 and 49 them you will get 129 and then subtract 180 by 129 then you will get your answer

Answer:

51°

Step-by-step explanation:

Sum of angles in a triangle is supplementary,

x + 49° + 80° = 180°

x + 129° = 180°

x = ( 180 - 129 )

x = 51°

Answer:

Step-by-step explanation:

1 day, she travels 11/12 of a mile.

5 days, she travels 5 * 11/12 miles

5*11/12 = 55/12 = 4 7/12  miles.

Answer:

23 isnthe anseeerjfhdhvdvd hdjdbbe

Answer:

Based on the information given, we know that angles 3 and 4 are supplementary (they add up to 180 degrees) and angles 2 and 4 are vertical angles (they are congruent). Therefore, we can write:

m∠4 + m∠3 = 180 (since angles 3 and 4 are supplementary)

m∠4 = m∠2 (since angles 2 and 4 are vertical angles)

Substituting m∠4 = m∠2 into the first equation, we get:

m∠2 + m∠3 = 180

Now we can solve for m∠2 and m∠3:

m∠3 = 43 (given)

m∠2 = 180 - m∠3 = 180 - 43 = 137

Since angles 1 and 2 are also supplementary, we can find m∠1 by subtracting m∠2 from 180:

m∠1 = 180 - m∠2 = 180 - 137 = 43

Therefore, m∠1 = 43 degrees and m∠2 = 137 degrees.

Positive, because the products (-5)(-3) and (-8)(-6) are positive, and the product of two positive numbers is positive

=======================================================

Explanation:

Recall we have these rules

Here is one example for each rule

So based on that, we know that (-5)(-3) is positive. The two negatives cancel each other out so to speak. The same goes for (-8)(-6). Then multiplying any two positive numbers produces another positive outcome.

Answer:

oh 21

Step-by-step explanation:

1 times 12 is 12 and 3/4 times 12 is 36/4 =9. 9 plus 12 is 21

Answer:

21 yards.

Step-by-step explanation:

1 3/4 = 7/4.

7/4 * 12

= 84/4

= 21 yards.

Answer:

The answer should be 12y+15xy

Step-by-step explanation:

Answer:

12y+15yx

Step-by-step explanation:

Answer:

c because it's the opposite

Answer: C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.

Step-by-step explanation:

Given: Null hypothesis: \(H_0:p=0.5\)

Alternative hypothesis: \(H_a: p>0.5\)

p-value = 0.033

If the p-value is greater than alpha (p > . 05), then we fail to reject the null hypothesis.

If α=0.01 , then p-value > α i.e. we fail to reject the null hypothesis.

Conclusion: Exactly 50% of adults support the tax increase.

If α=0.05 then p-value < α i.e. we reject the null hypothesis.

Conclusion: more than 50% of adults support the tax increase.

Thus, Correct option: C .

Answer: At the a = 0.05 significance level, they should conclude that more than 50% of adults support the tax increase.

Step-by-step explanation:

The amount that she needs to sell 15% commission is $2,000.

Given that,

Based on the above information, the calculation is as follows:

15% of x = $3,000

x = $2,000

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Mrs. Jackson needs to sell a total of $20,000 worth of products to earn $3,000 a month with a 15% commission on everything she sells.

Given that,

Mrs. Jackson needs to earn $3,000 a month.

The commission percentage is 15%.

Let us assume the amount be x.

To calculate how much Mrs. Jackson needs to sell to earn $3,000 a month, we can use the formula for commission-based earnings:

Earnings = Commission Rate × Sales

We know that Mrs. Jackson earns a 15% commission on everything she sells, and her goal is to earn $3,000 a month.

Let x be the total sales amount she needs to achieve her goal.

Earnings = 0.15x

According to the problem, she needs to earn $3,000, so we can set up the equation:

0.15x = $3,000

Now, to find x, we need to isolate it on one side of the equation. We can do that by dividing both sides by 0.15:

x = $3,000 / 0.15

x = $20,000

So, Mrs. Jackson needs to sell a total of $20,000 worth of products to earn $3,000 a month with a 15% commission on everything she sells.

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