Which gives the midpoint of the segment whoseendpoints are (-4, 5) and (3, 8)?0(3)○ (15, 3)ㅇ(, )ㅇ(, 555)

Answer:

Round to the nearest tenth. 35 12. х x = [?] Enter​

Step-by-step explanation:

Answer:

4mm.

Step-by-step explanation:

Area of a Square is: \(A=s^2\)

's' -side length

We are given the area of 16 square mm.

\(16=s^2\\\sqrt{16} =\sqrt{s^2}\\\boxed {4=s}\)

The length of each side of the square is 4mm.

Answer:

4 mm

Step-by-step explanation:

Hope this helps

Answer:

x=5

y=0

Step-by-step explanation:

Let's solve the system of equations through elimination

Solving by elimination is when you add or subtract one equation by the other to eliminate one variable

In this case, adding 3x and -3x would cancel each other out so we should add the equations

\(-3x + 7y = -15\\+(3x + 5y = 15)\\0+12y=0\\12y=0\)

Now solve for y

Divide both sides by 12 to isolate y

\(12y=0\\\\\frac{12y}{12} =\frac{0}{12} \\\\y=0\)

Now sub in the value of y into one of the original equations and solve for x

\(3x+5y=15\\3x+5(0)=15\\3x=15\\\)

Divide both sides by 3 to isolate x

\(\frac{3x}{3} =\frac{15}{3} \\x=5\)

Answer:

(A) a triangle with a base of 6m and height of 4m:

Area = 1/2 x base x height = 1/2 x 6m x 4m = 12m^2

(B) a parallelogram with a base of 48m and a height of 0.5m:

Area = base x height = 48m x 0.5m = 24m^2

(C) a trapezoid with bases 9m and 3m and height of 4m:

Area = 1/2 x (base1 + base2) x height = 1/2 x (9m + 3m) x 4m = 24m^2

(D) a triangle with a base of 8m and a height of 3m:

Area = 1/2 x base x height = 1/2 x 8m x 3m = 12m^2

So the shapes that have an area of 24 m^2 are A (triangle) and C (trapezoid).

I Hope This Helps!

Explanation:

We have these numbers: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. That's 10 numbers

The odd numbers are: {1, 3, 5, 7, 9}. That's 5 numbers.

The probability of selecting an odd number is:

Answer:

B. 1/2

Answer: a^4 b^2 x^4

Step-by-step explanation:

The exponent "product rule" tells us you, when multiplying two powers that have the same base, you can add the exponents.

so

a^3 b^2 x^4 a^1  

a^3  and a^1 have the same base of a.  So, add 3 + 1 for 4

Answer:

x + 2 is a number + 2.

Step-by-step explanation:

in algebra, this could basically say anything plus 2 is y.

Let's say x is 2.

2 + 2 = 4

hope it helps!

Answer:

Step-by-step explanation:

a. Money held by individuals in savings accounts is part of the M2 money supply, but not part ofthe M1 money supply. Therefore, when Jane withdraws $500 cash from her savings account,the M1 money supply increases by $500. However, the M2 money supply does not changebecause the M1 money supply is included as part of the M2 money supply.b. Money held by banks and governments is not included as part of the money supply. Therefore,when Jane uses $300 to pay her income tax to the U.S. Treasury, that total of $300 is taken out ofboth the M1 and M2 money supplies. When Jane deposits the remaining cash ($80) into hersavings account, the M1 money supply is reduced by that amount, but it does not affect the M2money supply. Therefore, Jane's actions cause the M2 money supply to change by ­$300 (theamount used to pay her taxes) and the M1 money supply to change by ­$380 (the amount used topay her taxes plus the amount that was deposited into her savings account). Note that it does notmatter that Jane no longer has the $120 she used to pay for the gold clubs, as the funds remainsin someone else's checking account. So this amount is neither removed from the M1 moneysupply nor the M2 money supply.NumericResponseDifficulty: 03 HardLearning Objective: 14­02 List anddescribe the components of the U.S.money supply.5000­380­300References

According to the information we can infer that the total yardage traveled from 0 to 120 seconds is 140 yards.

To calculate the total yardage traveled we have to consider the movement of the O'Connor Panthers. In this case we have to consider that the movement in the y axis.

In this case we can conclude that the total yardage traveled was 140 yards because:

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Answer:

Ingredient | 4 servings | 2 servings | 8 servings

-------------------------------------------------------------------

flour (c)      |        1          |       1/2       |        2          

sugar (c)    |       3/4       |       3/8      |       3/2                

butter (T)   |        1          |       1/2       |        2          

salt (t)        |        1/4       |       1/8       |        1/2  

Step-by-step explanation:

4 servings:

1 c flour

3/4 c sugar

1 T butter

1/4 t salt

2 serving = 4 servings / 2 =

1 c flour/2 = 1/2 c flour

3/4 c sugar/2 = 3/8 c sugar

1 T butter/2 = 1/2 T butter

1/4 t salt/2 = 1/8 t salt

8 servings = 4 servings * 2 =

1 c flour * 2 = 2 c flour

3/4 c sugar * 2 = (3*2)/4 = 3/2 c sugar

1 T butter * 2 = 2 T butter

1/4 t salt * 2 = 2/4 = 1/2 t salt

Table:

Ingredient | 4 servings | 2 servings | 8 servings

-------------------------------------------------------------------

flour (c)      |        1          |       1/2       |        2          

sugar (c)    |       3/4       |       3/8      |       3/2                

butter (T)   |        1          |       1/2       |        2          

salt (t)        |        1/4       |       1/8       |        1/2          

Answer:

9x^2 - 3x - 2,  R -7.

Step-by-step explanation:

x - 5) 9x^3 - 48x^2 + 13x + 3(9x^2 - 3x - 2 <---- Quotient.

        9x^3 - 45x^2

                  - 3x^2 + 13x

                   -3x^2 + 15x

                                -2x + 3

                                -2x + 10

                                          -7 <----- Remainder

Answer:

6(z+9)

ANSWER: 6z+54

z=9

Step-by-step explanation:

mm, im sorry they didn't answer this yesterday

The absolute value equation that has the solution set  is |x + 6| = 2

From the question, we have the following parameters that can be used in our computation:

Solution set = -4 and -8

The midpoint of the above solution is

c = (-4 - 8)/2

So, we have

c = -6

So, we have

|x + 6| = d

Using any of the points, we have

|-4 + 6| = d

Evaluate

d = 2

So, we have

|x + 6| = 2

Hence, the absolute value equation that has the solution set  is |x + 6| = 2

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Answer:

1. supplementary angles

2. vertically opposite angles

3. corresponding angles

4. alternate interior angles

5. alternate exterior angles

6. corresponding angles

7. corresponding angles

8. alternate exterior angles

hope this helps

good day mate

Part A: We can complete the model representing Sage's minutes by putting n and 7 in the box.

Part B: We can complete the model representing Tom's minutes by putting n and 7 in the box

Part C: An algebraic expression to represent the number of minutes Sage has left is S = n - 7, where S equals the remaining talk minutes for Sage and n is the initial number of talk minutes.

Part D. An algebraic expression to represent the number of minutes Tom has left is T = n - 7, where T equals the remaining talk minutes for Tom and n is the initial number of talk minutes.

Part E: Sage and Tom have the same number of talk minutes left on their cell phone plans because they started with the same amount and consumed the same amount at the end of the month.

An algebraic expression is a mathematical expression that consists of variables and constants, along with algebraic operations and equality or inequality symbols.

The basic algebraic operations include addition, subtraction, division, and multiplication.

Thus, algebraic expressions can be used to mathematically model or represent the number of minutes that Sage and Tom have left.

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Answer:day in and day out truly improves our focus, listening skills and humor skills. ... in every day life–what is your motivation for doing whatever it is you are doing? ... a big show, I make sure I remind myself that improv is fun–that's why I do it. ..

Step-by-step explanation:

A.  The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.

B. No, the project does not meet the company's cash payback criteria.

C.  Yes, the project does meet the net present value criteria for acceptance.

A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.

                $55,440 / $7,700 = 7.2 years

To solve for the net present value, we say

Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.

NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63

+ ($7,700 / (1 + 0.08)²) = 6601.51

+ .($7,700 / (1 + 0.08)³ = 6112.51

+ ($7,700 / (1 + 0.08)⁴) = 5659.73

+ ($7,700 / (1 + 0.08)⁵) = 5240.49

+ ($7,700 / (1 + 0.08)⁶) = 4 852.31

+ ($7,700 / (1 + 0.08)⁷) = 4492.88

+($7,700 / (1 + 0.08)⁸)  = 4160.07

+ ($27,600 / (1 + 0.08)⁸)) = 14911.42

- $55,440

We add all these values together and subtract by  $55,440

7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440

59160.55 - 55,440

NPV = 3720.55

B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.

C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.

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(a) The closed form for ∑2 is 2.

(b) The closed form expression for ∑3 is 24.

(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.

(d) The value of -3 matches the manual computation of the four terms.

Our closed form solution is correct.

To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:

∑2 = n(a + l) / 2

In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.

We also know that there is only one term, so n = 1.

Substituting these values into the formula, we have:

∑2 = 1(2 + 2) / 2

= 4 / 2

= 2

The formula for the sum of the first n terms of an arithmetic series is:

∑n = n(a + l) / 2

In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).

Substituting these values into the formula, we get:

∑3 = 3(3 + 13) / 2

= 3(16) / 2

= 48 / 2

= 24

The formula we developed in class is:

∑n = n(a + a + (n - 1)d) / 2

In this case, we have a = 0 (the first term) and d = -1 (the common difference).

Substituting these values into the formula, we get:

∑n = n(0 + 0 + (n - 1)(-1)) / 2

= n(0 - n + 1) / 2

= n(1 - n) / 2

To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):

∑3 = 3(1 - 3) / 2

= 3(-2) / 2

= -6 / 2

= -3

Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:

0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1

= 0 - 1 - 2 - 3

= -6

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Using the fundamental counting principle, it is found that 15500 different passwords are possible.

----------------------------

The fundamental counting principle states that if there are p ways to do one things, and q ways to do other thing, and they are independent, there are p*q ways to do both things.

----------------------------

----------------------------

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Recall that, in order to graph a line we need two points on the line.

Evaluating the given function at x=0 we get:

Therefore the graph of the given function passes through (0,-4).

Evaluating the given function at x=3 we get:

Therefore the graph of the given function passes through (3,-3).

Then the graph of the given function is:

Answer:

An equation of a line in a slope-intercept format that is parallel to

y = (1/2)x - 3 line and goes through the point (4, 2) is y = (1/2)x

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know parallel lines have equal slopes.

The equation of the line given is y = (1/2)x - 3 and our required equation is parallel to it and passes through (4, 2).

So, 2 = (1/2)(4) + b.

2 = 2 + b.

b = 0.

Hence, y = (1/2)x is the required equation of the line.

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Answer:

c = -4

Step-by-step explanation:

2c-4+c= -8+2c

Combine like terms

3c -4 = 2c-8

Subtract 2c from each side

3c-2c-4 = 2c-8-2c

c-4 = -8

Add 4 to each side

c-4+4 = -8+4

c = -4

Answer:

b & c

Step-by-step explanation:

Answer:

8.74

Step-by-step explanation:

The distance can be calculated by Distance Formula , as :-

⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]

⇒ D = √ [ ( 3 + 2)² + (5+2)² ]

⇒ D = √ 5² + 7²

⇒ D = √ [ 25 + 49 ]

⇒ D = √ 74

⇒ D = 8.74 units .

Answer:

The answer is A because you can actually graph it and get A as the correct answer.

Step-by-step explanation:

I actually took this before, and I put A as the answer. It was correct.

The equation of the ellipse is \((x - 3)^2 / 16 + (y - 3)^2 / 64 = 1.\)

To determine the equation of the ellipse, we need to find its major and minor axes, as well as the distance from each focus to the center.

Given that the foci of the ellipse are located at (3, 1) and (3, 5), we can determine that the center of the ellipse is at the midpoint between these two foci, which is (3, 3).

The endpoints of the minor axis are (7, -2) and (-1, -2), which tells us that the length of the minor axis is 7 - (-1) = 8 units.

Now, let's calculate the distance from the center to one of the foci. Using the distance formula, we have:

sqrt((3 - 3)^2 + (3 - 1)^2) = sqrt(0 + 4) = 2.

Since the foci are vertically aligned, the major axis is vertical. Therefore, the length of the major axis is twice the distance from the center to one of the foci, which gives us 2 \(\times\) 2 = 4 units.

Using the standard form of the equation for an ellipse centered at (h, k), with a horizontal major axis of length 2a and a vertical minor axis of length 2b, the equation is:

\((x - 3)^2 / 4^2 + (y - 3)^2 / 8^2 = 1.\)

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Answer:

Supplementary

Step-by-step explanation:

VSW and TSW combine and make 180. Complementary is when they make up to 90

Answer:

slope = 11/2

Step-by-step explanation:

If you are given two points, you can find the slope using the point-slope equation. The equation looks like this:

y₁ - y₂ = m(x₁ - x₂)

In this form, "m" represents the slope, "x₁" and "y₁" represent the values from one point, and "x₂" and "y₂" represent the values from the other point. You can plug the values from the points into the equation and simplify to find the slope.

Point 1: (-4, 7)                Point 2: (-6, -4)

x₁ = -4                              x₂ = -6

y₁ = 7                               y₂ = -4

y₁ - y₂ = m(x₁ - x₂)                               <----- Point-slope form

7 - (-4) = m(-4 - (-6))                            <----- Insert values

11 = m(2)                                             <----- Simplify

11/2 = m                                             <----- Divide both sides by 2

\(\huge\boxed{\frac{11}{2}}\)

The slope is equivalent to vertical change divided by horizontal change, otherwise known as "rise over run".

Therefore, the slope can be represented with the following equation, where \((x_1,y_1)\) and \((x_2,y_2)\) are your points:

\(\dfrac{y_2-y_1}{x_2-x_1}\)

Substitute the values and simplify to find the answer.

\(\dfrac{(-4)-7}{(-6)-(-4)}\)

\(\dfrac{-4-7}{-6+4}\)

\(\dfrac{-11}{-2}\)

\(\boxed{\frac{11}{2}}\)

Answer: where is the answer choices

Step-by-step explanation: