Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark ( /) for the fraction bar.
(-4,6) (4,-2)

Answer:

a idk

Step-by-step explanation:

A line bisects an angle if it cuts it into two congruent angles. Since the line segment BD forms the angles <4 and <3, and these angles have the same magnitude the postulate that proves this is the definition of an angle bisector

Answer:

x would be 10.

It is congruent since two sides are given to be congruent. This can be proven with the SSS Congruence Postulate.

Answer:

(a)25×D=C (b)250 (c)3 answer

A. The equation for C in terms of D is C = 25D

B. The value of C when D = 10 is 250

C. The value of D when C = 75 is 3

From the question given above,

C ∝ D

C = KD

Divide both sides by D

K = C / D

But

C = 125

D = 5

Thus

K = C / D

K = 125 / 5

K = 25

Therefore, the equation is given as

C = KD

C = 25D

C = 25D

C = 25 × 10

C = 250

C = 25D

75 = 25 × D

Divide both side by 25

D = 75 / 25

D = 3

Learn more about variation:

brainly.com/question/14254277

#SPJ9

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

Learn more about the surface area of revolutions here:

https://brainly.com/question/32268747

#SPJ1

The inequality is graphed and attached

There are some points that help in interpreting inequality graphs.

the x values are also called the domain lets assume -4 0 4. this is substituted into the equation 3x - 2y > 2 to get the values in the y direction.

3x - 2 > y

y < 3x - 2

for x = -4

y < 3 * -4 - 2 = -14

for x = 0

y < 3 * 0 - 2 = -2

for x = 4

y < 3 * 4 - 2 = 10

table of values

x      y

-4   -14

0     -2

4     10

y < 3x - 2 is the equation

Then use of dashed lines of dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR < hence used for the problem

solid line means there is equality in the inequality  ≤ OR ≥

Another part is the shaded portion

shading above the line defines greater than shading below the line defines less than. The equation has less than and the shading is below the line

Learn more about linear functions at:

https://brainly.com/question/29721668

#SPJ1

A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

Read more on piecewise function here: brainly.com/question/18670055

#SPJ1

The displacement of the particle at time t is 11t - t², and the total distance traveled by the particle in 2 seconds is 9 meters.

The displacement of a particle moving along a straight line can be calculated by finding the area under the velocity-time graph. In this case, the velocity function is v(t) = 11 - 2t for 0 ≤ t ≤ 2.

To find the displacement at time t, we need to find the area under the velocity-time from t = 0 to t = t. The formula for displacement is the integral of the velocity function with respect to time:

s(t) = ∫v(t) dt = ∫(11 - 2t) dt = 11t - t²

Therefore, the displacement of the particle at time t is given by s(t) = 11t - t².

To find the total distance traveled by the particle in 2 seconds, we need to consider both the forward and backward motion. Since the velocity is decreasing at a constant rate of 2 m/s², the particle will come to rest at t = 11/2 seconds.

The total distance traveled by the particle in 2 seconds is given by:

d(2) = ∫|v(t)| dt =  \(\int\limits^{11/2}_0\) v(t) dt + \(\int\limits^2_{11/2}\)|v(t)| dt from 11/2 to 2

= [\(\int\limits^{11/2}_0\)(11t - t²) ] + [\(\int\limits^2_{11/2}\)(-11t + t²) ]

= (121/2 - 121/4) + (4 - 121/2) = 9 meters

To learn more about velocity click on,

https://brainly.com/question/14488317

#SPJ1

The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.

The ratio refers to the relative size of one quantity compared to another.

The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction.  We can also express the ratio in its standard form (:).

Given   Sum of     Equivalent

Ratio     Ratios          Ratios

5/36        36         13.89% or 0.1389

2:9           11          18.18% or 0.1818

3 to 18     21          14.28% or 0.14.28

1:3            4           25% or 0.25

Thus, we can conclude that 1:3 is the largest ratio amont the others.

Learn more about ratios at https://brainly.com/question/2328454.

#SPJ1

(1) p value is 0.234. So the 4th option is correct.

(2) p value grater that any alpha values so we fail to reject the null. So the 4th option is correct.

(3) The outcome is significant if the null hypothesis is rejected. So the third option is the correct choice.

4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.

We consider the following hypothesis-

H0: µ1 = µ2 vs H1: µ1 ≠ µ2

Where µ1 is the population mean of the non FL res

µ2 is the population mean of the FL res

1) p value = 0.234

(Obtained by p value calculator corresponding to the test statistic at 0.05 significance level with degrees of freedom 232+1224-2 = 1454)

Hence the 4th option is correct.

2) We know if p value ≤ α we reject the null.

Here since p value grater that any alpha values so we fail to reject the null.

Hence the 4th option is correct i.e, t none of the usual α.

(3) The outcome is significant if the null hypothesis is rejected. This conclusion is neither statistically nor practically significant because we are unable to reject the null hypothesis. The third option is the correct choice.

(4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.

To learn more about population mean link is here

brainly.com/question/19538277

#SPJ4

The right question is given below:

Answer:

\((f\circ g)(1)=3\)

Step-by-step explanation:

\((f\circ g)(1)=f(g(1))=f(1^2-3)=f(-2)=-2(-2)-1=4-1=3\)

Ask me more about composite functions if you are still confused

The last boxplot is the one that displays the values range  of the distribution that is given.

The range of a function in mathematics can refer to one of two ideas that are connected in some way: Codomain for the function an illustration of the action If there is precisely one y in Y and there are two sets X and Y, then a binary relation f between X and Y is a function that connects x and y.

Here ,Given information:

6,7,9,9,20,22,26,28,29,30

N = 10 observations were made.

The base number is 6. ( least value)

Quartile lower= n+1(0.25)

term = 0.25(13) = 3.25term = 13

Median equals 0.5 (n + 1)

term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22

Upper quartile: 0.75 (13)

A term equals 9.75 a term equals 26.5

Interquartile Range (IQR) is equal to= Q3 - Q1= (26.5 - 13) = 13.5

The highest value is 30. (highest value in the distribution)

As a result, the Last boxplot is the one that shows the distribution that is given.

To know more about range , visit

brainly.com/question/28135761

#SPJ1

The odds ratio of income is 1.00320, rounded to 5 decimal places.

The odds ratio of income can be calculated using the formula given below:

odds ratio = odds of personal loan when income increases by 1 unit

Odds of a personal loan is the ratio of probability of acceptance to probability of rejection.

Odds of personal loan = P(personal loan=yes) / P(personal loan=no)P(personal loan=yes) = 0.0122

P(personal loan=no) = 1 - P(personal loan=yes) = 0.9878

Odds of personal loan = 0.0122 / 0.9878 = 0.0124

The logistic regression model estimated as P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x))

Hence, P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x)) = 0.0122

P(personal loan=yes|income=x+1) = 1 / (1 + e(-6.3525+0.0392(x+1))) = 0.012414

We have, odds ratio = odds of personal loan when income increases by 1 unit

odds ratio = 0.012414 / 0.0124 = 1.0032 ≈ 1.00320

Round the answer to 5 decimal places = 1.00320

The odds ratio of income is 1.00320, rounded to 5 decimal places.

for such more question on odds ratio

https://brainly.com/question/24223396

#SPJ11

By using the fact that the sum of the interior angles must be 180°, we wil see that:

x = 110°.

First, remember that the sum of the interior angles of a triangle is alway equal to 180°.

We also can see that the interior angle that is adjacent to x can be written as:

a = 180° - x

Then the sum of the interior angles will give:

30° + 80° + (180° - x) = 180°

30° + 80° - x = 0

110° - x = 0

110° = x

That is the value of x.

Learn more about interior angles at:

https://brainly.com/question/24966296

#SPJ1

Answer:

1 half

Step-by-step explain

0.5 = 1/2

1/2=0.5

⊕

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

Answer:

0<y<128

Step-by-step explanation:

The range of function will vary as 0 > y > 128.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given that a local tennis club has an annual tournament to raise money. They allow a total of 128 players to enter. Each round eliminates half the players.

The function will be written as,

\(F(x) = 128e^x\)

The range of the function will be from 0 to 128.

Therefore, the range of function will vary as 0 > y > 128.

To know more about a function range follow

https://brainly.com/question/26098895

#SPJ2

Answer: 63

Step-by-step explanation:

From the question, we are informed that Steve sold 252 fruit basket for a school fundraiser while Evie aold 25 fruit baskets for each 100 baskets that Steve sold. This means that Evie sold 25/100 = 1/4 of what Steve sold.

Therefore, the number of fruit baskets sold by Evie will be:

= 1/4 × 252

= 63

Answer:

4π

Step-by-step explanation:

The Period, as measured from crest-to-crest (or from trough-to-trough), is 4π, as read directly from the graph

Answer:

a. yes

Step-by-step explanation:

for every input the should be one and only one output, so this is a function

The probability of selecting a 3 both times is  1/200

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

Set 1 = 0 to 9

Set 2 = 0 to 19

The probability of selecting 3 in each set is

P(Set 1) = 1/10

P(Set 2) = 1/20

So, the required probability is

P = 1/10 * 1/20

Evaluate

P = 1/200

Hence, the value is 1/200

Read more about probability at

https://brainly.com/question/251701

#SPJ1

The correct proof of the equation is cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

Given the trigonometry identity below:

cos3∅=cos²∅-3cos∅sin²∅

We are to prove that both sides of the equation are equal.

cos 3θ = cos(2θ + θ)

Using the double angle formula for cosine, we can expand the first term:

cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ

Since cos2θ = cos²θ - sin²θ

cos(2θ + θ) =  cos²θ - sin²θ - 2cosθsinθsinθ

cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ

On simplifying, we can see that;

cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

Learn more on trigonometry here: https://brainly.com/question/7331447

#SPJ1

The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

Learn more on functions here: https://brainly.com/question/29869165

#SPJ1

Answer:

the constant term in this problem is 8

Answer:

12%

Step-by-step explanation:

each shares 12% because 100-28=72

72÷6=12%

Answer:

d=32

Step-by-step explanation:

Solution

d=2r=2·16=32