2x – 3y = 28
2x + 2 = 22

The value of x is the sum of angle ABO and angle CDO because they are the acute angles made out of parallel lines.

Parallel lines are lines that are always the same distance apart and never intersect. They maintain a constant distance from each other as they extend indefinitely in both directions

Recall one of the theorem:

- Alternate angles made by 2 parallel lines are always equal.

Applying this theorem,

angle ABO + angle CDO = angle BOD

50° + 30° = x°

x° = 80°

Learn more about parallel line here:

https://brainly.com/question/26961508

#SPJ1

Slide curve together,if it look like a happy face

Happy = positive/a>1

Slide curve together, if it look like a sad face

Sad = negative/a<1

Answer:

Terms: 4x, -\(\frac{x}{2}\)

Coefficients: 4, \(\frac{1}{2}\)

Step-by-step explanation:

The terms of an expression are the numbers and variables that are being added. In this expression 4x is being added to -\(\frac{x}{2}\). This means that they must be the terms. The coefficients are the constants that come before a variable. A variable is an unknown number represented by a letter, in this case, x. So the coefficients are 4 and \(\frac{1}{2}\) because both these numbers are being multiplied by a variable.

The number of ways to arrange n men and n women in a row such that the men and women alternate is 2(n!)^2. This can be solved by the concept of Permutation and combination.

To see why, consider that there are n! ways to arrange the n men and n! ways to arrange the n women. Once the gender of the person in the first position is determined, the gender of the person in the second position is also determined. Therefore, there are only 2 possibilities for the first two positions. Similarly, once the genders of the first two positions are determined, the genders of the next two positions are also determined, resulting in only 2 possibilities for the next two positions. This pattern continues until all n men and n women have been placed in the row.

Therefore, the total number of ways to arrange the group is 2(n!)^2.

To learn more about Permutation and combination here:

brainly.com/question/13387529#

#SPJ11

The statement that BEST describes the comparison of the function values for f(x) and g(x) is D.

The values of g(x) begin to exceed the values of f(x) within the interval [4,5). This means that for x-values between 4 and 5, g(x) will have larger function values than f(x).

This can be observed from the graph of the functions f(x) and g(x), where it is clear that f(x) has larger values than g(x) for x-values less than 4, but after 4, the values of g(x) start to exceed the values of f(x). This comparison is only valid for the specific interval [4,5) and cannot be generalized for all x-values. Therefore, option D is the correct choice.

Learn more about Function Values here: brainly.com/question/13581879

#SPJ11

Answer:

0.625 liters

Step-by-step explanation:

Given data

volume drained= 2.5Liters

Time= 4 days

Now the if 4 days leakage will produce a volume of 2.5Liters

Then 1 day will produce a volume of x liters

cross multiply

4x= 2.5

x= 2.5/4

x= 0.625 liters per day

Hence, each day will produce  0.625 liters

The assertion that four-year public college tuition and fees exceed $5700 is sufficiently supported by the available data.

Step 1: Specify the claims and hypotheses.

H0: μ = $5700 and H1: μ > $5700 (claim)

Step 2: Calculate the test value.

z = (x - μ)/ (σ/√n)  

z = (5950 - 5700)/ (659/√36)

z = 2.28

Step3. Determine the P-value.

Determine the area for z = 2.28 using Table E.

Area equals 0.9887.

To determine the tail's area, deduct from 1.0000.

Therefore, 1.0000 - 0.9887 = 0.0113 is the P-value.

Step 4: Decide what to do.

The P-value is much less than 0.05, hence the null hypothesis is to be rejected.

Step 5: Condense the findings.

The assertion that four-year public college tuition and fees exceed $5700 is sufficiently supported by the available data.

Thus, this null hypothesis will not be disproved if = 0.01.

To know more about the null hypotheses, here

https://brainly.com/question/23413408

#SPJ4

Answer:

9 6/7 is the answer

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

know more about Bedrock.

https://brainly.com/question/2948854

#SPJ11

The percentage of calories that comes from saturated fat in each serving of these crackers is 0.4%

To calculate the percentage of calories that come from saturated fat, we need to first determine how many calories come from saturated fat in one serving of crackers.

We know that each serving of crackers provides 120 calories, and 0.5 grams of saturated fat. We can convert the amount of saturated fat from grams to calories by multiplying it by 9 (since 1 gram of fat provides 9 calories).

0.5 grams of saturated fat x 9 calories per gram = 4.5 calories from saturated fat

Therefore, out of the 120 total calories in one serving of crackers, 4.5 calories come from saturated fat.

To find the percentage of calories that come from saturated fat, we can divide the number of calories from saturated fat by the total number of calories in one serving of crackers, and then multiply by 100.

(4.5 calories from saturated fat / 120 total calories) x 100 = 0.0375 x 100 = 0.4%

Therefore, each serving of crackers provides 0.4% of calories from saturated fat.

To learn more about percentage here:

brainly.com/question/29306119#

#SPJ11

Answer:

About 29%

Step-by-step explanation:

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

For more such questions on approximately

https://brainly.com/question/29985480

#SPJ8

The jogger's average speed is 0.136 km per minute.the jogger's average speed is 0.136 km per minute. This means that on average, the jogger covers a distance of 0.136 km every minute of their run.

To calculate the average speed, we need to determine the total distance covered and the total time taken. The jogger covered a distance of 4.0 km in 32 minutes, 2.0 km in 22 minutes, and 1.0 km in 16 minutes. The total distance is 4.0 km + 2.0 km + 1.0 km = 7.0 km, and the total time is 32 minutes + 22 minutes + 16 minutes = 70 minutes.

To find the average speed, we divide the total distance by the total time: 7.0 km ÷ 70 minutes = 0.1 km per minute. Therefore, the jogger's average speed is 0.1 km per minute or 0.136 km per minute (rounded to three decimal places).

Learn more about average speed here

brainly.com/question/17661499

#SPJ11

The area of Triangle B is 2 times greater than the area of Triangle A.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

Area of the triangle = 1/2 h*b

For Triangle A, the area is:

Area_A = 1/2 * b * h

For Triangle B, the area is:

Area_B = 1/2 * b * 2h = b * h

So, the area of Triangle B is twice the area of Triangle A.

Therefore, the area of Triangle B is 2 times greater than the area of Triangle A.

Learn more about triangle, by the following link

brainly.com/question/17335144

#SPJ1

The range is 4.5, and it means that the data varies by a value of 4.5.

A data set is a structured group of data. As we are all aware, data is a grouping of information that has been gathered by observations, measurements, research, or analysis. Facts, figures, names, and even simple descriptions of objects could be included in it.

The range is the difference between the largest and smallest values in a data set.

In this case, the largest value is 8 and the smallest value is 3.5,

so the range is 8 - 3.5 = 4.5.

This means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.

Hence, The range is 4.5, and it means that the data varies by a value of 4.5.

Learn more about data set here:

brainly.com/question/19243813

#SPJ1

Answer:

450

Step-by-step explanation:

find perimeter of bases and then the area. then find Lateral Surface area to get Surface area

Answer: Choice D.  (x/8) - 2 = 5

Work Shown:

x = Aatif's age

x/8 = divide the age by 8

(x/8) - 2 = divide the age by 8 first, then subtract off 2

(x/8) - 2 = 5 .... the previous result is equal to 5

The number of ways in which the 8 teams finish found by permutation is 1st, 2nd, 3rd is 336.

A permutation would be a mathematical computation of the number of possible arrangements of a given set, in which the sequence of the arrangements is important.

Now, according to the question,

We have ten teams and want to understand number of times PERMUTATIONS OF 3 are possible.  For only a PERMUTATION, we want to consider how several positions we are selecting and how many options are available for each of those positions.

So, given three options are;

(# of choices for first) x (# of choices for second) x (# of choices for third)

If there are originally 8 teams to pick from, then first place has 8 alternatives. When one of those is chosen for first, there are only 7 alternatives for second, and only 6 choices for third... and so on.

8 × 7 × 6 = 336

Therefor, here are 366 possible methods to choose first, second, and third place from the original eight teams.

To know more about permutation, here

https://brainly.com/question/1216161

#SPJ4

Let F = Q(z) / (z3 - z2 - 1) and denote by class x of element z in it. To prove that F is a field, let us use the fact that if I is an ideal of a commutative ring R, then R/I is a field if and only if I is a maximal ideal.

We already know that Q is a field. Now, let us show that the ideal (z3 - z2 - 1) is a maximal ideal of Q[z].In the following, Q[z]/(z3 - z2 - 1) denotes the quotient ring of Q[z] by the ideal (z3 - z2 - 1), and z denotes the class of z in this ring.
Suppose we can show that the polynomial z3 - z2 - 1 is irreducible over Q. Then by the irreducible polynomial theorem, the ideal (z3 - z2 - 1) is a maximal ideal of Q[z]. And hence, Q[z]/(z3 - z2 - 1) is a field.

To show that z3 - z2 - 1 is irreducible over Q, we can use the Eisenstein's criterion. Since 1 is a prime element in Q, the conditions of the criterion are satisfied. Hence, z3 - z2 - 1 is irreducible over Q.So, we have shown that Q[z]/(z3 - z2 - 1) is a field. Moreover, Q[z] is the polynomial ring of Q over z, and deg(z3 - z2 - 1) = 3. Hence, any element of Q[z]/(z3 - z2 - 1) can be represented uniquely as a polynomial of degree at most 2 in z. Let f(z) = 3z2 - 12z + 7 / z2 - 3z + 1 ∈ Q(z). Let us represent it as a polynomial in z of degree at most 2. This is equivalent to finding a polynomial q(z) and a constant r such thatf(z) = q(z)(z3 - z2 - 1) + rz2 + sz + tfor some q(z), r, s, t ∈ Q. Dividing f(z) by z3 - z2 - 1, we getf(z) = (3z + 3)(z2 - 4z + 11) + 40z - 26.Now, dividing 40z - 26 by z2 - 3z + 1, we get40z - 26 = (40z - 120)(z2 - 3z + 1) + 154z - 146.Hence,f(z) = (3z + 3)(z2 - 4z + 11) + (40z - 120)(z3 - z2 - 1) + 154z - 146= (40z - 120)z3 + (3 - 40z + 154)z2 + (11 + 120z - 146)z + 3(z3 - z2 - 1) - 146= - 40z3 + 43z2 + 68z - 143.So, we have found the required polynomial f(z) of degree at most 2 in z. It is f(z) = - 40z2 + 43z + 68.

to know more about commutative visit :

https://brainly.com/question/28747013

#SPJ11

Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

Given that a researcher measures the relationship between two variables, X and Y.

If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.

Correlation coefficient:

The correlation coefficient is a statistical measure that determines the degree of association between two variables.

It is denoted by the symbol ‘r’.

The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.

How to calculate correlation coefficient?

The formula to calculate the correlation coefficient is as follows:

r = SS(XY)/√[SS(X)SS(Y)]

Now, substitute the given values, we get:

r = 340/√[320000]r = 0.34

Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

To know more about correlation coefficient

brainly.com/question/27226153

#SPJ11

s = 55.3 in this situation means the annual sales that can be written in millions like 55.3 million sales in 2008.

Mean:

Mean is the fraction of the sum of the observed data by the total number of sample data.

That is,

Mean = Sum of all observations / number of observations

Given,

Let s be the annual sales (in millions) for a particular electronic item.

The value of s is 55.3 for 2008.

Here we need to find what does s = 55.3 mean in this situation.

According to the question,

s represents the annual sales (in millions) for a particular electronic item.

So,

s = 55.3

means the the annual sales (in millions) for a particular electronic item.

Like 55.3 millions of particular electronic item sold in 2008.

To know more about Mean here.

https://brainly.com/question/11822836

#SPJ4

30: D

31: B? (so sorry if wrong)

32: A

33: C

34: A?

I hope this helped. I'm so sorry if it's incorrect!

Answer:

$5,368,709.12

Step-by-step explanation:

Kono Dio Da!!

Answer:

5368709.12

Step-by-step explanation:

i just did this earlier

Answer:

A: 10x^2 +53x +63   B: degree 2; quadratic trinomial  C: the result of the multiplication of polynomials is a polynomial

Step-by-step explanation:

Part A:

The area is the product of length and width. The distributive property is useful for simplifying the expression.

 A = LW

 A = (2x +7)(5x +9) = 2x(5x +9) +7(5x +9)

 A = (10x^2 +18x) +(35x +63)

 A = 10x^2 +53x +63 . . . . area expression

Part B:

The highest power of x is 2. There are 3 terms. A degree-2 polynomial is called a "quadratic." A 3-term polynomial is called a "trinomial."

degree 2

quadratic trinomial

Part C:

In part A we multiplied two polynomials and came up with a result that is a polynomial. This suggests polynomials are closed with respect to multiplication.

I hope this helps!!

Answer:

(25x * 4y * 2z) + (15x * 2y^3)

10xy(20z + 3y^2)

(if you want working, just comment [too much effort lol])

Answer:

Step-by-step explanation:

using formula

a^2+b^2=c^2

x^2+4^2=8^2

x^2+16=64

x^2=64-16

x=\(\sqrt{48}\) cm

Answer:

x = \(\sqrt{48}\)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 4² = 8²

x² + 16 = 64 ( subtract 16 from both sides )

x² = 48 ( take the square root of both sides )

x = \(\sqrt{48}\)