Using the information in the diagram determine the height of the tree

Answer:

Step-by-step explanation:

Opposite angles in parallelogram are congruent:

m∠D = 6*13° - 17° = 61°

Answer:

\(m\angle D = 61\textdegree\)

Step-by-step explanation:

In a parallelogram, opposite angles are congruent, so they have the same measure by the definition of congruence. Therefore, \(\angle B \cong \angle D\), so \(m\angle B = m\angle D\). We are given the measures of these two angles, so we can write the following equation to solve for \(x\):

\(4x+9=6x-17\)

Solving for \(x\), we get:

\(4x+9=6x-17\)

\(-2x+9=-17\) (Subtract \(6x\) from both sides of the equation)

\(-2x=-26\) (Subtract \(9\) from both sides of the equation to isolate \(x\))

\(x=13\) (Divide both sides of the equation to get rid of \(x\)'s coefficient)

Therefore, \(m\angle D = 6x-17=6*13-17=78-17=61\textdegree\).

Hope this helps!

Reject the null hypothesis because \($p$\)-value \($=0.0045$\) is less than the Significance level x=0.025.

The null hypothesis is a widely used statistical theory that states that for any given single observable variable, there is no statistical relationship or significance between any two sets of observed data and measured events.

According to the given information

\(& H_0: \mu=57 \\\)

\(& H_a ; \mu > 57 \\\)

\(& \alpha=0.025 \\\)

\(& \text { Test Statistic }=2.61\)

So,

This is right tailed test

\(& \text { Using } z \text { table } \\\)

\(& p(z > 2.61) \\\)

\(&= 1-p(z < 2.61) \\\)

\(&= 1-0.9955 \\\)

\(& p \text {-value }= 0.0045\)

Reject the null hypothesis because \($p$\)-value \($=0.0045$\) is less than the Significance level x=0.025.

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13 is not prime in the Eisenstein integers, as it can be factored into non-unit elements.

In the Eisenstein integers, the number 13 is not prime. To show this, we need to find an explicit factorization of 13 into non-unit elements.

The Eisenstein integers are complex numbers of the form a + bω, where a and b are integers, and ω is a primitive cube root of unity. In this case, ω is given by (-1 + √3i)/2.

To find the factorization of 13, we can divide it by the Eisenstein integer ω - 1. This gives us 13/(ω - 1) = (13ω - 13)/(ω - 1). Simplifying this expression further, we get (13ω - 13)/(ω - 1) = (13ω - 13)(ω + 1)/(ω - 1)(ω + 1).

Expanding the numerator and denominator, we get (13ω - 13)(ω + 1)/(ω^2 - 1). Simplifying this expression even further, we have (13ω - 13)(ω + 1)/(ω^2 - 1) = (13ω - 13)(ω + 1)/(ω - 1)(ω + 1) = (13ω - 13)/(ω - 1).

Now, we can substitute ω = (-1 + √3i)/2 and simplify the expression. This gives us (13(-1 + √3i)/2 - 13)/( (-1 + √3i)/2 - 1). Simplifying this expression, we find that 13 can be factored as (5 + √3i)(2 - √3i).

Therefore, 13 is not prime in the Eisenstein integers, as it can be factored into non-unit elements.

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Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

Answer:

Step-by-step explanation:

After conducting a comprehensive analysis, it becomes apparent that option D emerges as the most appropriate and suitable resolution. The remaining choices, including a, b, and c, do not fulfill the requirements for a satisfactory outcome. Therefore, I strongly advise selecting option D as the optimal decision.

\(\huge\text{Hey there!}\)

\(\mathsf{x^2 + 3x + 8 = 6}\)

\(\large\textsf{SUBTRACT 6 to BOTH SIDES}\)

\(\mathsf{x^2 + 3x + 8 - 6 = 6 - 6}\)

\(\mathsf{8 - 6 = \boxed{\bf 2}}\)

\(\mathsf{6 - 6 = \boxed{\bf 0}}\)

\(\mathsf{x^2 + 3x + 2 = 0}\)

\(\large\textsf{FACTOR the LEFT SIDE OF THE EQUATION}\)

\(\mathsf{(x + 1)(x + 2) = 0}\)

\(\large\textsf{SET EACH FACTORS to EQUAL 0}\)

\(\mathsf{x + 1 = 0 \ OR \ x + 2 = 0}\)

\(\large\textsf{SOLVE the EQUATIONS ABOVE and YOU HAVE YOUR x-values}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf x = -1 or x = -2}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.

To determine the number of significant figures in the answer to the calculation (3.4876)/(4.11+1.2), we need to consider the number of significant figures in the given values and apply the rules for significant figures in mathematical operations.

First, let's analyze the number of significant figures in the given values:

- 3.4876 has five significant figures.

- 4.11 has three significant figures.

- 1.2 has two significant figures.

To perform the calculation, we divide 3.4876 by the sum of 4.11 and 1.2. Let's evaluate the sum:

4.11 + 1.2 = 5.31

Now, we divide 3.4876 by 5.31:

3.4876 / 5.31 = 0.6567037...

Now, let's determine the number of significant figures in the result.

Since division and multiplication retain the least number of significant figures from the original values, the result should be reported with the same number of significant figures as the value with the fewest significant figures involved in the calculation.

In this case, the value with the fewest significant figures is 5.31, which has three significant figures.

Therefore, the answer to the calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.

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Answer:

x < 3

Step-by-step explanation:

Any number less than 3 will make this true.

Answer:

-3<X or X>-3

Step-by-step explanation:

-10<-4x+2

-10-2<4x

-12<4x

-3<X or X>-3

Question is based upon our General knowledge in the field of IT and programming languages\(.\)

Let's see the choices:

1) It is true that Bill Gates founded teh Microsoft, but Guido Von Rossum is the founder of python. So, this is incorrect option.

2) Bjarne Stroustrup is the creater of C++ programming language, and also published the Annotated C++ reference manual. So, this is correct✓.

3) Paul Allen was the one who co-founded the Microsoft cooperation along with Bill Gates. So, this is also incorrect.

4) John McCathy invented or founded LISP, which came after FORTAN, So he isn't the founder of FORTAN. So, this is also Incorrect.

So, correct option is Option B

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

The number of gallons of water that the pool will be able to hold would be = 24,600 gallons.

To calculate the number of gallons of water, the volume of the pool should first be calculated as follows:

The pool is divided into two shapes to obtain a trapezium and a rectangular prism.

Volume of rectangular prism= lwh

length= 30ft

width= 4ft

height= 20ft

Volume= 30×4×20= 2,400ft³

Volume of trapezoid prism;

= 1/2(a+b)hl

where;

a= 8ft

b= 30-16= 14ft

h= 8-4= 4ft

l= 20ft

Volume= 1/2(8+14)4×20

= 1/2(22)80

= 880ft³

The volume of structure;

= 2,400ft³+880ft³

= 3,280ft³

But 1ft³ = 7.5 gallons

3,280ft³ = X gallon

make X gallons the subject of formula;

X gallons= 7.5×3280= 24,600 gallons

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Answer:

110 ft  

Step-by-step explanation:

The length of fencing is four times the perimeter of one garden.

The formula for the perimeter of a rectangle is  

P = 2l + 2w

The total perimeter for all four rectangles is

P = 4× (2l + 2w) = 8l + 8w

Data:

 l = 9¼ ft

w = 4½ ft

Calculation:

P = 8l + 8w = 8×9¼ + 8×4½ = 72⁸/₄ + 32⁸/₂ =(72 + 2) + (32 + 4) = 74 + 36 = 110 ft

The total length of fencing is 110 ft.

Writing linear equations given two points can be a useful skill when graphing linear equations.

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Answer:

I think it's 41

Step-by-step explanation:

The Fitness Gram Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. A single lap should be completed each time you hear this sound. Remember to run in a straight line, and run as long as possible.

if your problem is x = 5, x+6, the answer is 11

but if your problem is x=5x+6

x = -3/2 or -1.5, give me brainliest if correct pleaseee

Use the z-distribution, we have that:

1.

The null hypothesis is of \(H_0: p = 0.84\).

The alternative hypothesis is of \(H_1: p > 0.84\).

2. It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.

3. We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.

4. The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.

Item 1:

At the null hypothesis, we test if the proportion of teenagers that think highly of their mother is of 84%, hence:

\(H_0: p = 0.84\)

At the alternative hypothesis, we test if this proportion is greater than 84%, that is:

\(H_1: p > 0.84\)

Item 2:

It would mean that at most 84% of teenagers think highly of their mother, as we could not conclude that the proportion is more than 84%.

Item 3:

135/150 = 0.9.

We are working with a right-tailed test, hence it means that there is a 0.0225 = 2.25% probability that at least 0.9 = 90% of teenagers think highly of their mother.

Item 4:

The p-value is of 0.0225, which is less than the significance level of 0.05, which means that we would reject the null hypothesis.

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Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: \(-4\frac{1}{2}\). Substitute \(-4\frac{1}{2}\) for x and 10 for y in the equation, then solve:  

\(y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10\)

10 does equal 10, so this is a true statement. Option C is the right answer.

The indefinite integral of \(13e^(3x) (1 - e^(26x))=  e^(3x) - e^(27x) / 27 + C,\) where C is the constant of integration.

Let's consider the indefinite integral\(13e^(3x) + e^(26x)\)

This can be transformed into a basic integral by letting

U = 3x + 26x

= 29x and

du = dx.

Performing the substitution yields the integral

∫\(13e^(U) + e^(U) du.\)

Simplifying this expression, we get

∫\((13 + 1)e^(U) du.\)

Therefore, the integral is equal to

\((13 + 1) e^(29x) / 29 + C.\)

Thus, the indefinite integral of

\(13e^(3x) + e^(26x) =  (13 + 1) e^(29x) / 29 + C\)

where C is the constant of integration.

Next, consider the indefinite integral

∫\(13e^(3x) (1 - e^(26x)) dx.\)

This can be transformed into a basic integral by letting

U = 3x and du = dx.

Performing the substitution yields the integral

∫\(13e^(U) (1 - e^(26x)) du.\)

Simplifying this expression, we get

∫\(13(e^(U) - e^(27x)) du.\)

Therefore, the integral is equal to

\(e^(3x) - e^(27x) / 27 + C.\)

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Answer:

3

Step-by-step explanation:

m=y2-y1/x2-x1

-3+2/8-5

-1/3

perp. = negative reciprocal

3

Answer:

288

Step-by-step explanation:

\(6 \times 8 \times \frac{1}{2} \times 2 + 6 \times 10 + 8 \times 10 + 10 \times 10 = 288\)

Answer:

288 sq cm

Step-by-step explanation:

Hope this helps!!

Please mark brainliest.

When there is a multiplication between a term with parenthesis and another term we apply the distributive property:

It says that the parenthesis indicates that the term outside will multiply each of the terms inside it.

For the first parethesis:

- 3(2x + 4) = (-3) · 2x + (-3) · 4

since

(-3) · 2x = -6x

(-3) · 4 = -12

then

- 3(2x + 4) = (-3) · 2x + (-3) · 4

- 3(2x + 4) = -6 x - 12

For the second

– (2x + 4) ​= – 1 (2x + 4)

= ​(-1) · 2x + (-1) · 4

=-2x -4

We can see in this case that both parenthesis are the same, then it is the common factor of - 3(2x + 4) and – (2x + 4) ​,

We can factor it by separating it of each term and letting the remaining terms inside a parenthesis

- 3(2x + 4) – (2x + 4) ​= (2x + 4) ( -3 -1)

= (2x + 4) ( -4)

= -4 (2x + 4)

The two assertions made by the student are correct and lead to the correct derivation of the joint and marginal pmfs of Z and W.

To find the distribution of Z, we need to first express Z in terms of X and Y. This is done by defining a new random variable, W = X+Y, which represents the sum of X and Y. Then, we can express Z as Z = X/W.

The next step is to determine the joint probability mass function (pmf) of Z and W. To do this, we need to find the probability that Z = z and W = w for any given values of z and w.

Here comes the assertion made by the student: "X = WZ and Y = W(1-Z). Thus, joint pmf of Z and W is ..."

This assertion is not wrong. In fact, it is a correct expression of how to obtain the joint pmf of Z and W using the relationship between X, Y, Z, and W. The student correctly uses the fact that X = WZ and Y = W(1-Z) to write the joint pmf of Z and W as:

P(Z=z, W=w) = P(X=wz, Y=w(1-z)) = P(X=wz)P(Y=w(1-z))

The product of the marginal pmfs of X and Y is used since X and Y are independent.

The next assertion made by the student is: "marginal pmf of W is..."

This assertion is also correct. The student correctly derives the marginal pmf of W using the joint pmf of Z and W. To find the marginal pmf of W, we need to sum the joint pmf over all possible values of Z:

P(W=w) = ∑ P(Z=z, W=w) = ∑ P(X=wz)P(Y=w(1-z))

Here, the sum is taken over all possible values of Z, which range from 0 to 1. The student uses the fact that X and Y are geometric random variables with success probability p to obtain the pmfs of X and Y, and then substitutes them into the equation above to obtain the marginal pmf of W.

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Answer:

81/a^12

Step-by-step explanation:

Answer:

81/a^16

Step-by-step explanation:

(1/3a^3)^-4

1/3^-4a^-16

3^4 x 1/a^16

81/a^16

Answer:

I think the correct answer is C

Answer:

24.3

Step-by-step explanation:

\(\frac{Gallons}{Miles} =\frac{Gallons}{Miles}\)

\(\frac{g}{884.52} =\frac{22113}{910}\)

910g = 25 x 884.52

\(\frac{910g}{910} =\frac{22113}{910}\)

g = 24.3

This is the correct answer. Hoped this helped!

The constant of proportionality is 26.8

Calculating the number of miles driven per gallon of fuel used:

1125.6/42 = 26.8

1286.4/48 = 26.8

1340/50 = 26.8

we get 26.8 miles traveled in one gallon fuel.

if we represent gallons of fuel by x and miles traveled by y, the equation thus formed will be:

                  y = 26.8x

hence the constant of proportionality is 26.8

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Answer:

i sadly still have to go, i live in the east coast so the weather isn't bad

Given the decimal value 8.05.

First we need to express as a fraction as shown;

8.05 = 805/100

Write in ots simplest form

805/100 = 5 * 161/5*20

805/100 = 161/20

Hence the decimal 8.05 as an improper fraction is 161/20

Express as mixed fraction;

161/20 = [(20*8) + 1]20

161/20 = (20*8)/20 + 1/20

161/20 = 8 + 1/20

161/20 = 8 1/20

Hence the deco

Answer:

$96.

Step-by-step explanation:

5/6  costs 80

Multiply both parts by 6/5:

5/6 * 6/5 ( = 1 ) costs 80 * 6/5

= 16 * 6

= $96.

Answer:

35

Step-by-step explanation:

i pretty sure

Hey again!

The answer to your question is 122.5 feet²

We can find the dimensions of the new figure:

2 x 3.5 = 7

5 x 3.5 = 17.5

Area = length x width, so 7 x 17.5 = 122.5

Hope it helps!

Answer:

50$×40_=,29

Step-by-step explanation:

no explanation needed