geometry proof help pls!

A parallelogram

P=2(a+b)

The answer is 64

P=2(a+b)=2·(24+8)=64

Answer:

a 12= − 3 n 2 − n

Step-by-step explanation:

Answer:

\(m_{perpendicular}\) = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

Answer:

Step-by-step explanation:

Has to be D Square root is always bigger.

The z-score of the value is -0.79

The given parameters are

Value = 86

Mean = 101

Standard deviation = 19

The z-score of the value is calculated using

z= (Value - Mean)/Standard deviation

This gives

z = (86 - 101)/19

Evaluate

z = -0.79

Hence, the z-score of the value is -0.79

Read more about z-score at:

https://brainly.com/question/25638875

#SPJ1

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

More can be learned about exponential expressions at https://brainly.com/question/25537936

#SPJ1

Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

The value of the required probabilities are:

(a) E[X] = 6

(b) E[X|Y=1] = 1/36

(c) E[X|Y=5] = 5/36.

To find the values of P{X=x, Y=1} and P{X=x, Y=5}, we need to understand the concept of conditional probability and the properties of geometric distributions.

First, let's recall some properties of geometric distributions:

The probability of success (rolling a specific number on a fair die) in a single trial is denoted by p, and for a fair die, p = 1/6.

The probability of failure (not rolling the specific number) in a single trial is denoted by q, and for a fair die, q = 1 - p = 5/6.

The geometric distribution is the number of trials required to achieve the first success (rolling the specific number) in a sequence of independent trials.

For the random variable X (number of rolls necessary to obtain a 6), X follows a geometric distribution with parameter p = 1/6.

Now, let's find the values of P{X=x, Y=1} and P{X=x, Y=5}.

(a) E[X]:

The expected value of X (denoted as E[X]) for a geometric distribution is given by E[X] = 1/p. For a fair die, p = 1/6, so E[X] = 1 / (1/6) = 6.

(b) E[X|Y=1]:

This represents the expected number of rolls necessary to obtain a 6 given that the first roll resulted in a 5.

To find E[X|Y=1], we need to consider the conditional probability.

The event "Y=1" represents that the first roll resulted in a 5.

The probability of rolling a 6 in the next roll (X=1) given that Y=1 is P{X=1, Y=1}.

Since the rolls are independent, P{X=1, Y=1} = P{X=1} * P{Y=1}.

The probability of rolling a 6 in a single roll (P{X=1}) is 1/6, and the probability of rolling a 5 in a single roll (P{Y=1}) is also 1/6 (since we want the first roll to be a 5).

So, P{X=1, Y=1} = (1/6) * (1/6) = 1/36.

Now, to find E[X|Y=1], we need to sum the products of the number of rolls (x) and the corresponding probabilities for all possible values of x, given that Y=1:

E[X|Y=1] = ∑(x * P{X=x, Y=1})

Since the geometric distribution is defined over all non-negative integers, we need to consider all possible values of x (0, 1, 2, 3, ...).

E[X|Y=1] = (0 * P{X=0, Y=1}) + (1 * P{X=1, Y=1}) + (2 * P{X=2, Y=1}) + ...

Now, we already know that P{X=1, Y=1} = 1/36. For all other values of x, P{X=x, Y=1} = 0 because we cannot have any rolls beyond the first roll when Y=1 (since Y=1 means the first roll was a 5).

So, E[X|Y=1] = (1 * 1/36) + (0 * 0) + (0 * 0) + ... = 1/36.

(c) E[X|Y=5]:

This represents the expected number of rolls necessary to obtain a 6 given that the first roll resulted in a 5 followed by four rolls that resulted in other numbers (not 6).

Similarly to part (b), we need to consider the conditional probability.

The event "Y=5" represents that the first five rolls resulted in numbers other than 6.

The probability of rolling a 6 in the next roll (X=1) given that Y=5 is P{X=1, Y=5}.

Again, since the rolls are independent, P{X=1, Y=5} = P{X=1} * P{Y=5}.

The probability of rolling a 6 in a single roll (P{X=1}) is 1/6, and the probability of rolling a number other than 6 in a single roll (P{Y=5}) is 5/6 (since we want the first five rolls to be numbers other than 6).

So, P{X=1, Y=5} = (1/6) * (5/6) = 5/36.

To find E[X|Y=5], we need to sum the products of the number of rolls (x) and the corresponding probabilities for all possible values of x, given that Y=5:

E[X|Y=5] = ∑(x * P{X=x, Y=5})

Similarly to part (b), for all values of x other than 1, P{X=x, Y=5} = 0 because we cannot have any rolls beyond the first roll when Y=5 (since Y=5 means the first five rolls were other numbers).

So, E[X|Y=5] = (1 * 5/36) + (0 * 0) + (0 * 0) + ... = 5/36.

Hence, The value of the required probabilities are:

(a) E[X] = 6

(b) E[X|Y=1] = 1/36

(c) E[X|Y=5] = 5/36.

To learn more on probability click:

brainly.com/question/11234923

#SPJ12

Answer:

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

  (f(x+h) -f(x))/h = 4h +8x +5

  f'(x) = 8x +5

Step-by-step explanation:

For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.

Put (x+h) where h is in the function, and simplify:

  f(x+h) = 4(x+h)² +5(x+h) +3

  = 4(x² +2xh +h²) +5x +5h +3

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

The difference quotient is ...

  (f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h

  = (4h² +8xh +5h)/h

  (f(x+h) -f(x))/h = 4h +8x +5

When h=0, the value of this is ...

  f'(x) = 4·0 +8x +5

  f'(x) = 8x +5

__

Additional comment

Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.

<95141404393>

Answer:

Step-by-step explanation:

15

The power expression 1 / 5⁸ is the simplified form by algebra properties of (5⁻⁴)².

In this problem we find a power expression that must simplified by means of algebra properties. First, write the entire expression introduced in the statement:

(5⁻⁴)²

Second, use the property for the power of a power:

5⁻⁸

Third, use the property for the power of a power once again:

(5⁸)⁻¹

Fourth, apply the definition of a division:

1 / 5⁸

The simplified form of (5⁻⁴)² is equal to 1 / 5⁸.

To learn more on power expressions: https://brainly.com/question/17039439

#SPJ1

Answer: x doesn't equal four x would have to equal -5 because it cant before because it would be a zero and there would be no solution

Step-by-step explanation: brainliest plz

The remainder when dividing

\((10m^8 + 4m^6 + 10m^5) by (2m^2 + 5m^6 + 4m^4 + 10m^3)\) is

\(-25m^{12} - 20m^{10} - 50m^9 + 4m^6 + 10m^5.\)

To find the remainder when dividing

\((10m^8 + 4m^6 + 10m^5) by (2m^2 + 5m^6 + 4m^4 + 10m^3),\) we can use polynomial long division.

The dividend is\((10m^8 + 4m^6 + 10m^5)\) and the divisor is \((2m^2 + 5m^6 + 4m^4 + 10m^3).\)

Starting with the highest degree term, we divide (\(10m^8\)) by (\(2m^2\)) which gives us \(5m^6\).

Next, we multiply the entire divisor \((2m^2 + 5m^6 + 4m^4 + 10m^3)\) by \(5m^6\), which gives us (\(10m^8 + 25m^{12} + 20m^{10} + 50m^9\)).

We then subtract this product from the original dividend:

\((10m^8 + 4m^6 + 10m^5) - (10m^8 + 25m^{12} + 20m^{10} + 50m^9)\) =\(-25m^{12} - 20m^{10} - 50m^9 + 4m^6 + 10m^5.\)

We repeat the process with the new dividend (\(-25m^{12} - 20m^{10} - 50m^9 + 4m^6 + 10m^5\)) and the divisor (\(2m^2 + 5m^6 + 4m^4 + 10m^3\)).

Continuing the long division process, we eventually find the remainder to be: \(-25m^{12} - 20m^{10} - 50m^9 + 4m^6 + 10m^5.\)

Therefore, the remainder when dividing (\(10m^8 + 4m^6 + 10m^5\)) by (\(2m^2 + 5m^6 + 4m^4 + 10m^3\)) is \(-25m^{12} - 20m^{10} - 50m^9 + 4m^6 + 10m^5\).

For such more questions on remainder:

https://brainly.com/question/29347810

#SPJ11

Note the full question is:

Divide. (10m8 + 4m6 + 10m5) ÷ 2m2 5m6 + 4m4 + 10m3 5m6 + 2m4 + 10m5 5m6 + 2m4 + 5m3 5m8 + 2m6 + 5m5

What is the reminder

Simply count the number of red marbles in each sample and divide by the total number of marbles in the sample (16). Then, take the average of those proportions to estimate the proportion of red marbles in the jar as a whole

Based on the information provided, the best conclusion we can make is an estimate of the proportion of red marbles in the jar. We can use the four random samples of 16 marbles to calculate the proportion of red marbles in each sample, and then take the average of those proportions to estimate the overall proportion of red marbles in the jar.

It's important to note that this estimate may not be perfectly accurate, since the samples are small and may not perfectly represent the entire jar. However, it's a useful way to get an idea of how many red marbles are in the jar without having to count all of them.

To calculate the proportion of red marbles in each sample

To learn more about : marbles

https://brainly.com/question/30636030

#SPJ11

Answer:

Step-by-step explanation:

2:3:4= 9

2/9 x 180= 40 degrees

3/9 x 180= 60 degrees

4/9 x 180= 80 degrees

~~~Inuola1234

Answer:

EA and EB are equal

Step-by-step explanation:

This is because both of the circles have the same radius AB. The radius is the length from the center of a circle to anywhere on the edge of the circle and is the same no matter where on the circle it is measured from, as long as it goes to the middle. If we focus on just the circle with B at its center, we can see that AB is the radius from the middle to the edge of the circle at A. E also lies on the edge of this same circle, meaning that the length from B to E is that same as AB, the radius. The same logic applies to AE, the length AE is equal to the radius AB because it also runs from the center to the edge of the circle.

Therefore, EA and EB are equal, because they are both radii of two same size circles and are equal to the length of AB.

Hope this helped!

0.156 is the  unit rate games per loss.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Plug in the values from the table to the above formula.

Slope is nothing but rate of change.

m=17-12/68-36

m=5/32

m=0.156

Hence, 0.156 is the unit rate games per loss.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation:

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Answer:

Step-by-step explanation:

2(b-9) > 20

b - 9 > 20/2

b - 9 > 10

b > 10+9

b > 19

The equation, in slope intercept form, of a line that is perpendicular to line AB and passes through (-3, 4) is y = -0.5x + 2.5.

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:

Since the equation of line AB is -5 = 2x - y, the slope is given by;

y = 2x + 5

m₁ × m₂ = -1

2 × m₂ = -1

m₂ = -1/2

Slope, m₂ = -1/2

At data point (-3, 4) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 4 = -1/2(x + 3)  

y = -1/2(x) + 2.5

y = -0.5x + 2.5

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

Answer:

A

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of the spaces formula

Answer:

1.75

Step-by-step explanation:

Answer:

the solution to the equation is m = 28/3, or approximately 9.3333

Step-by-step explanation:

To solve this equation, you need to get the variable, in this case "m," by itself on one side of the equation. To do this, you can start by isolating the fraction on the left side of the equation. You can do this by multiplying both sides of the equation by 2/3, which will cancel out the 2/3 on the left side:

3m/2/3 = 7

(2/3) * (3m/2/3) = (2/3) * 7

3m/2 = 7 * (2/3)

3m/2 = 14/3

Next, you can multiply both sides of the equation by 2 to get rid of the fraction on the left side:

(2) * (3m/2) = (2) * (14/3)

3m = 28/3

Finally, you can simplify the right side of the equation by dividing both sides by 3 to get the final solution:

(3m) / 3 = (28/3) / 3

m = 28/3

Therefore, the solution to the equation is m = 28/3, or approximately 9.3333.

Answer:

Maybe m = 14/9

Maybe m = 14

Step-by-step explanation:

It is not clear what you mean by the fraction on the left side.

Do you mean

3m/(2/3) = 7  ?

If so:

3m = 7 × 2/3

3m = 14/3

m = 14/9

Do you mean

(3m/2)/3 = 7   ?

If so:

3m/2 = 21

m = 21 × 2/3

m = 14

Do you mean something else?

The value of x in the similar triangle is 6 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:

Hence,

5 / 40 = x / 48

48 × 5 = 40x

240 = 40x

divide both sides by 40

x = 240 / 40

x = 6

Therefore,

x = 6

learn more on triangle here:https://brainly.com/question/29191745

#SPJ1