Find the midpoint of the line segment with end coordinates of: (-2, -4) and (2, -10)

Answer:

7 and 14

Step-by-step explanation:

Answer:

1 and 6.

Step-by-step explanation:

Vertical angles are angles directly opposite to each other. Let's go through each of the answer choices.

9 and 13.

9 and 13 are adjacent/supplementary angles. They are not directly opposite from each other.

1 and 6.

1 and 6 are directly opposite from each other. Thus, they are indeed vertical angles. This is the correct choice.

7 and 14.

7 and 14 share no relationship.

3 and 6.

Again, 3 and 6 are simply adjacent angles. They are not directly opposite from each other, so they are not vertical.

One possible equation for the function shown in the table is:

y = 10 * (0.5)^x

This equation represents an exponential function with a base of 0.5 (i.e. each value is half of the previous value) and an initial value of 10 (i.e. y = 10 when x = 0).

To verify this equation, we can plug in the x-values from the table and see if we get the corresponding y-values:

- When x = 0: y = 10 * (0.5)^0 = 10 * 1 = 10 (matches the table)

- When x = 1: y = 10 * (0.5)^1 = 10 * 0.5 = 5 (matches the table)

- When x = 2: y = 10 * (0.5)^2 = 10 * 0.25 = 2.5 (matches the table)

- When x = 3: y = 10 * (0.5)^3 = 10 * 0.125 = 1.25 (matches the table)

- When x = 4: y = 10 * (0.5)^4 = 10 * 0.0625 = 0.625 (matches the table)

Therefore, the equation y = 10 * (0.5)^x represents the function shown in the table.

Hope this helps if can

The volume of the space outside the pyramid but inside the prism is 250 cubic centimeters.

To find the volume of the space outside the pyramid but inside the prism, we need to subtract the volume of the pyramid from the volume of the prism.

The volume of a rectangular prism is given by the formula: Volume = base area × height.

The base area of the prism is a square with sides measuring 5 centimeters, so the base area is 5 cm × 5 cm = 25 square centimeters.

The height of the prism is given as 12 centimeters.

Therefore, the volume of the prism is 25 square centimeters × 12 centimeters = 300 cubic centimeters.

The volume of a pyramid is given by the formula: Volume = (1/3) × base area × height.

The base area of the pyramid is the same as the base area of the prism, which is 25 square centimeters.

The height of the pyramid is half the height of the prism, which is 12 centimeters ÷ 2 = 6 centimeters.

Therefore, the volume of the pyramid is (1/3) × 25 square centimeters × 6 centimeters = 50 cubic centimeters.

To find the volume of the space outside the pyramid but inside the prism, we subtract the volume of the pyramid from the volume of the prism:

Volume of space = Volume of prism - Volume of a pyramid

= 300 - 50

= 250

Therefore, the volume of the space outside the pyramid but inside the prism is 250 cubic centimeters.

know more about volume here:

https://brainly.com/question/27710307

#SPJ8

The displacement will only vary with time due to the sinusoidal function of the angular frequency w.

At time t=0,

the displacement of the string y (x,0) can be expressed as

y(x,0) = Acos(kx)sin(0)

since the angular frequency w is equal to zero at time t=0.

The sine of 0 is equal to 0, which means that the entire expression for y(x,0) is equal to 0.

Therefore, the displacement of the string at time t=0 is 0,

which is expected since the standing wave is at its equilibrium position at this point in time. It is important to note that the max transverse displacement (amplitude)

A and wave number k will still play a role in the shape and behavior of the standing wave, but they do not affect the displacement of the string at time t=0.

To learn more about Displacement :

https://brainly.com/question/1581502

#SPJ11

The approximate 95% confidence interval is (14.69, 18.51).

What is the confidence interval?

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, however other levels, such as 90% or 99%, are occasionally used when computing confidence intervals.

Here, we have

Given:

H₀ : μ = 15

H₁ : μ > 15

The test statistic t = ( x - μ) /(s/√n)

= (16.6 - 15)/(8√70/))

= 1.67

P-value = P(T > 1.67)

= 1 - P(T < 1.67)

= 1 - 0.9503

= 0.0497

At a 5% significance level, since the P-value < α (0.0497 < 0.05), so we should reject H₀.

So at a 5% significance level, there is sufficient evidence to conclude that employees spend more than 15 minutes on average on non-business activities.

The point estimate for the population mean (x) = 16.6

SE = (s/√n) = 8/√70 = 0.9562

At a 95% confidence interval, the critical value is t* = 1.995

The 95% confidence interval for the population mean is

x± t* (s/√n)

= 16.6 ± 1.995 × (8/√70)

= 16.6 ± 1.91

= 14.69, 18.51

Hence, the approximate 95% confidence interval is (14.69, 18.51).

To learn more about the confidence interval  from the given link

https://brainly.com/question/17097944

#SPJ4

Answer:

the line is in the grass because it divides and reflects the sky and mountain.

Answer:

The line of reflection in the picture above is on the x-axis.

Step-by-step explanation:

The line of reflection is the mirror line; the line across which a figure is "flipped" and in this case, the line of reflection is on the x-axis.

The space would cost at, $833.34 per month.

:: Total area = 1000 square feet

:: Cost per feet per year = $10

Therefore,

Total cost per year would be, equal to the product of total area and cost per unit area per year.

That is,

Total cost per year = 1000 x $10

That is, $10,000.

Now, we know, there are 12 months in an year.

So, cost per month is, ( total cost per year / 12 )

That is, therefore,

Cost per month = ($10,000 / 12)

Which equals to, $833.34 per month. (rounded off)

So,

The space cost at, $833.34 per month.

Read more about similar problems on division at:

https://brainly.com/question/25109150

The space cost you $833.33. per MONTH

To calculate the monthly cost, we first need to determine the annual cost of the space.

Given that the cost is $10 per square foot per year, we know, there are 12 months in an year and the space is 1,000 square feet, the annual cost of the space would be:

Annual cost = the space  * cost

Annual cost = 1,000 square feet * $10/square foot = $10,000

To convert this to monthly cost, we divide the annual cost by 12 (the number of months in a year):

Monthly cost = $10,000 / 12 = $833.33

Therefore, the monthly cost of the 1,000 square feet of space in the new building would be $833.33.

Learn more about cost at https://brainly.com/question/23412892

#SPJ11

Answer:

Step-by-step explanation:

Remove the brackets

3x*x^2 - 5x*3x + 3x*1 - 2x^2+3x -7  

Combine

3x^3 - 15x^2 + 3x - 2x^2 + 3x - 7

3x^3 17x^2 +6x - 7

The probability of Juan going to the movies is P(Juan goes to the movies) = 0.21 + 0.585 = 0.795.  

a)The probability of Juan going to the movies can be calculated by using the conditional probability of Juan going to the movies given that it rains and the conditional probability of Juan going to the movies given that it does not rain.

So, the probability of Juan going to the movies can be calculated as follows:

P(Juan goes to the movies) = P(Juan goes to the movies | it rains) × P(it rains) + P(Juan goes to the movies | it does not rain) × P(it does not rain)

Given that P(it rains) = 0.35 and P(Juan goes to the movies | it rains) = 0.6,

we can calculate the first term as follows:

P(Juan goes to the movies | it rains) × P(it rains) = 0.6 × 0.35 = 0.21

Given that P(it does not rain) = 1 − P(it rains) = 0.65 and

P(Juan goes to the movies | it does not rain) = 0.9,

we can calculate the second term as follows:

P(Juan goes to the movies | it does not rain) × P(it does not rain) = 0.9 × 0.65 = 0.585

To know more about probability refer to-

brainly.com/question/30034780#
#SPJ11

Answer:

peeeeeepppppssssss

Step-by-step explanation:

wussup

Answer: 1 = No

Step-by-step explanation:

the average number of calls that arrived between 8:00 am and 8:10 am during the working days of any month is Option(c) a parameter.

A parameter is a special type of mathematical variable. An equation that uses parametric variables that can have multiple values is referred to as a parametric equation. Parameter values are kept constant when using the function. Statisticians use parameters to estimate population characteristics numerically.

Parameters can be used in a variety of ways in real-life scenarios, including in statistics. Parameters are estimations of populations in statistics. The mean and standard deviation are two of the most common statistical parameters. In various statistical tests, these estimates are used to calculate the test statistic.

To Learn more about parameters:

https://brainly.com/question/10462941

#SPJ4

Answer:

d

Step-by-step explanation:

the answer is d because we learned about this everyday

(a) The probability that the entire system works is  0.3136

(b) The probability that the component a is not working is 0.3

Probability is a scale between 0 and 1 that represents the possibility of an event happening. An event with probability 1 is guaranteed to happen, while an event with probability 0 is impossible. The number of favorable outcomes divided by the total number of potential outcomes in the sample space yields the probability of an event A, commonly denoted as P(A). The sample space, for a fair six-sided die, is the set of all potential outcomes, such as 1, 2, 3, 4, 5, and 6. The probability of rolling a 4 is 1/6. Numerous disciplines employ probability to make predictions, deduce conclusions, and make judgments in the face of uncertainty.

(a) To find the probability that the entire system works, we need to find the product of the probabilities of the individual components working.

For the components connected in series, A and B, the probability that both work is equal to the product of their individual probabilities:

P(A and B) = P(A) * P(B) = 0.7 * 0.8 = 0.56

For the components connected in series-parallel, C, D, and E, the probability that all three work is equal to the product of their individual probabilities:

P(C and D and E) = P(C) * P(D) * P(E) = 0.8 * 0.8 * 0.9 = 0.576

To find the probability of the entire system working, we need to find the product of the probability of A and B working and the probability of C, D, and E working:

P(system works) = P(A and B) * P(C and D and E) = 0.56 * 0.576 = 0.3136

(b) Given that the system works, the probability that component A is not working would be equal to 1 minus the probability that component A is working:

P(A not working | system works) = 1 - P(A working | system works) = 1 - 0.7 = 0.3

To know more about outcomes visit:

brainly.com/question/19916581

#SPJ4

The complete question is

Answer:

number of cans Raina will be needed in court floor is 14 cans

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW;

Raina is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 46 feet and its width is 35 feet. Suppose each can of wood stain covers 115 square feet. How many cans will she need to cover the court?

CALCULATION;

Given:

length of the rectangular shape =46 feet

width of the the rectangular shape = 35 feet.

The floor of the court room is having a rectangular shape, then we need to calculate the surface Area of the rectangular shape first in order to know the number of cans that Raina will be needed

Surface Area= Length × Width

= 46feet × 35 feet

=1610 square ft

Then to get the number of cans , we need to divide the surface Area by each can of wood stain covers which is 115 square feet,

number of cans Raina will be needed in court = 1610 square ft / 115 square ft = 14

number of cans Raina will be needed in court floor is 14cans

Answer:4

Step-by-step explanation:

Just count lol n I did it rn

Answer:

4

Step-by-step explanation:

trust me

Answer:  

3300

Step-by-step explanation:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

In this case, Rule A applies and 3291 rounded to the nearest hundred is:

3300

Answer:

3,300

Step-by-step explanation:

Because rounding to the nearest 100 means hundred.

But so the rule is 5 or more raise the score 4 or less let it rest so the 2 is asking the 9 if he can get bumped up.

since the 9 is 5 or more it can raise the score so the 2 goes up to?

3 since 3 is the number right above 2

so your answer is 3,300 Hope this helps have a great day:)

The largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).

An initial-value problem is a type of boundary-value problem in mathematics, particularly in the field of differential equations.

The given initial-value problem is a separable differential equation, which can be written as:

dy/dt = -2(t + 1)y²

Integrating both sides, we get:

(1/y) = t² + 2t  + C

where C is the constant of integration.

Since we have an initial condition, we can use it to find the value of C:

y(0) = -1/15
C = -1/15

Solving for C, we get:

C = -1/15

So, the solution to the differential equation is:

(1/y) = t² + 2t -1/15

y = 1 / (t² + 2t -1/15)

The solution is defined for all t ≠ -1, since y = 0 is not defined. So, the largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).

Learn more about the initial value problem here:
https://brainly.com/question/30503609
#SPJ1

For the sample of soil given a) the porosity is 100.4%; b) the specific yield is 12.2%; c) the specific retention is 14.6%; d) the void ratio is 0.5342; e) the initial moisture content is 2.3%; and f) the initial degree of saturation is 41.97%.

a) The porosity of soil can be defined as the ratio of the void space in the soil to the total volume of the soil.

The total volume of the soil = Initial volume of soil = 100 c.m³

Weight of water added to the soil = 234.6 g – 220 g = 14.6 g

Volume of water added to the soil = 14.6 c.m³

Volume of soil occupied by water = Weight of water added to the soil / Density of water = 14.6 / 1 = 14.6 c.m³

Porosity = Void volume / Total volume of soil

Void volume = Volume of water added to the soil + Volume of voids in the soil

Void volume = 14.6 + (Initial volume of soil – Volume of soil occupied by water) = 14.6 + (100 – 14.6) = 100.4 c.m³

Porosity = 100.4 / 100 = 1.004 or 100.4%

Therefore, the porosity of soil is 100.4%.

b) Specific yield can be defined as the ratio of the volume of water that can be removed from the soil due to the gravitational forces to the total volume of the soil.

Specific yield = Volume of water removed / Total volume of soil

Initially, the weight of the oven dried soil is 220 g. After allowing it to drain by gravity, the weight of soil is 222.4 g. Therefore, the weight of water that can be removed by gravity from the soil = 234.6 g – 222.4 g = 12.2 g

Volume of water that can be removed by gravity from the soil = 12.2 c.m³

Specific yield = 12.2 / 100 = 0.122 or 12.2%

Therefore, the specific yield of soil is 12.2%.

c) Specific retention can be defined as the ratio of the volume of water retained by the soil due to the capillary forces to the total volume of the soil.

Specific retention = Volume of water retained / Total volume of soil

Initially, the weight of the oven dried soil is 220 g. After adding water to the soil, the weight of soil is 234.6 g. Therefore, the weight of water retained by the soil = 234.6 g – 220 g = 14.6 g

Volume of water retained by the soil = 14.6 c.m³

Specific retention = 14.6 / 100 = 0.146 or 14.6%

Therefore, the specific retention of soil is 14.6%.

d) Void ratio can be defined as the ratio of the volume of voids in the soil to the volume of solids in the soil.

Void ratio = Volume of voids / Volume of solids

Initially, the weight of the oven dried soil is 220 g. The density of solids in the soil can be calculated as,

Density of soil solids = Weight of oven dried soil / Volume of solids

Density of soil solids = 220 / (100 – (14.6 / 1)) = 2.384 g/c.m³

Volume of voids in the soil = (Density of soil solids / Density of water) × Volume of water added

Volume of voids in the soil = (2.384 / 1) × 14.6 = 34.8256 c.m³

Volume of solids in the soil = Initial volume of soil – Volume of voids in the soil

Volume of solids in the soil = 100 – 34.8256 = 65.1744 c.m³

Void ratio = Volume of voids / Volume of solids

Void ratio = 34.8256 / 65.1744 = 0.5342

Therefore, the void ratio of soil is 0.5342.

e) Initial moisture content can be defined as the ratio of the weight of water in the soil to the weight of oven dried soil.

Initial moisture content = Weight of water / Weight of oven dried soil

Initial weight of soil = 225.1 g

Weight of oven dried soil = 220 g

Therefore, the weight of water in the soil initially = 225.1 – 220 = 5.1 g

Initial moisture content = 5.1 / 220 = 0.023 or 2.3%

Therefore, the initial moisture content of soil is 2.3%.

f) Initial degree of saturation can be defined as the ratio of the volume of water in the soil to the volume of voids in the soil.

Initial degree of saturation = Volume of water / Volume of voids

Volume of water = Weight of water / Density of water

Volume of water = 14.6 / 1 = 14.6 c.m³

Volume of voids in the soil = 34.8256 c.m³

Initial degree of saturation = 14.6 / 34.8256 = 0.4197 or 41.97%

Therefore, the initial degree of saturation of soil is 41.97%.

Learn more about Porosity:

https://brainly.com/question/12859120

#SPJ11

Answer:

the coffee shop gets 1 dollar for every 4 ounces they sell

Step-by-step explanation:

Answer:D

Step-by-step explanation: Nolan did nothing wrong

The probability that fewer than two machines will be inoperative during a particular day is 0.29753.

Poisson distribution tells us the probability that exactly k events happen in a given time period, given that we expect of those events during that time period, and the chances of two or more events occurring are independent of each other.

For a Poisson distribution as described above, the probability of exactly k events during the given time period is:

P(X=k) = (k.e-)/(k!)

In this case we have one day as time period, we have 200 machines in use, and the probability of machine being inoperative on a given day is 0.009

No of machines being inoperative on any day = 0.009 x 200 = 1.8

The probability of fewer than two machines being inoperative is equal to the sum of probability of zero machines being inoperative and one machine being inoperative.

P(X<2) = P(X=0) + P(X=1)

On using the formula,

P(X<2) = (1.80.e-1.8)/(0!) + (1.81.e-1.8)/(1!)

On simplifying it,P(X<2) = e-1.8 +1.8*e-1.8  = 2.8*e-1.8

The probability is 2.8*e-1.8 which is approximately equal  to 0.29753.

To, learn more about probability visit - https://brainly.com/question/1379960

#SPJ4

Answer:  \(-3\sqrt{5}\)

-3 times the square root of 5

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

Explanation:

Let \(x = \sqrt{5}\)

Replace all the root 5 terms with x and we go from

\(3\sqrt{5}-8\sqrt{5}+2\sqrt{5}\)

to

\(3x-8x+2x\)

From here, combine like terms to get

\(3x-8x+2x = -5x+2x = -3x\)

and the last thing to do is replace the x with sqrt(5)

\(-3x = -3\sqrt{5}\)

Meaning that,

\(3x-8x+2x = -3x\)

\(3\sqrt{5}-8\sqrt{5}+2\sqrt{5} = -3\sqrt{5}\)

The length of the segment A'A is 18 units

The length of the segment B'B is 8 units

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

The similar triangle

Using the ratio of corresponding sides, we have

(AA' + 12)/20 = 12/8

So, we have

AA' + 12 = 20 * 12/8

AA' + 12 = 30

Evaluate

AA' = 18

Here, we have

(BB' + 6)/20 = 6/8

So, we have

BB' + 6 = 20 * 6/8

BB' + 6 = 15

Evaluate

BB' = 8

Hence, the length is 8 units

Read more about triangles at

https://brainly.com/question/32215211

#SPJ1

The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

Learn more about Pythagorean theorem here: brainly.com/question/14930619

#SPJ4

Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

Answer:

Hey there!

Step 1:

\(6p = - 42\)

Write the equation

Step 2:

\(p = \frac{ - 42}{6} \)

take 6 to other side to divide it with-42

\(p = - 7\)

after dividing 6 with -42 we will get -7

\(\small{\purple {\sf \underline{hope\: it\: helped\: you✿}}}\)

6p = -42

The value of p.

6p = -42

or, p = -42/6

or, p = -7

The value of p is -7.

A. Using the distance formula, we can state that the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are equal, AC = BD = √50 units.

C. Based on the slopes of each side, there are 4 right angles on the rectangle.

The distance formula is used to find the distance that exist between tow points that are on a coordinate plane. The formula is: d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

What is the Slope of a Line?

Slope = change in y / change in x.

A. The coordinates of each of the vertices of the rectangle are:

A(1, 2)

B(7, 4)

C(8, 1)

D(2, -1)

Use the distance formula to find AB, CD, BC, and AD.

AB = √[(7−1)² + (4−2)²]

AB = √40

CD = √[(2−8)² + (−1−1)²]

CD = √40

BC = √[(8−7)² + (1−4)²]

BC = √10

AD = √[(2−1)² + (−1−2)²]

AD = √10

Therefore, the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are AC and BD. Find their lengths using the distance formula:

AC = √(8−1)² + (1−2)²]

AC = √50 units

BD = √[(2−7)² + (−1−4)²]

BD = √50 units

Therefore, the diagonals are equal, AC = BD = √50 units.

C. Find the slope of AB, CD, BC, and AD:

Slope of AB = change in y / change in x = rise/run = 2/6 = 1/3

Slope of CD = 2/6 = 1/3

Slope of BC = -3/1 = -3

Slope of AD = -3/1 = -3

-3 is the negative reciprocal to 1/3, this means that, if the two lines that meet at a corner have these two slope, then they will form a right angle because they are perpendicular to each other.

Therefore, there are 4 right angles on the rectangle.

Learn more about the distance formula on:

https://brainly.com/question/661229

#SPJ1

Step-by-step explanation:

(-)(-) = +

\( - \frac{3}{5} + \frac{5}{9} \)

\( - \frac{27}{45} + \frac{25}{45} \)

\( - \frac{2}{45} \)