Find the measures of the labeled angles

Answer:

4x^2+9xy+6y^2

Step-by-step explanation:

7x^2+5xy-3y^2 -(2x^2+3xy-5y^2+x^2-7xy-4y^2)

7x^2+5xy-3y^2-(3x^2-4xy-9y^2)

7x^2+5xy-3y^2-3x^2+4xy+9y^2

4x^2+9xy+6y^2

Answer:

It's not possible

Step-by-step explanation:

2.3 + 2.37 + 95 = 99.67 cm        This is gonna be tough to cut from 13.5 cm

maybe it's:

2.3 + 2.37 + 9.5 = 14.17 cm         Not gonna work either

The length of the rope cut off altogether is 7.88 meters.

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Lengths of 2.3m, 2.37m, and 95cm are cut from a rope of 13.5 m long.

The amount of rope left is calculated as,

Rope = 13.5 - 2.3 - 2.37 - 0.95

Rope = 7.88 meters

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The translation that would yield the identity transformation is S(x, y) = ( x - 2, y + 5)

We know that an identity transformation is a linear transformation defined as defined by T(→x)=→(x)  for all →x

Here, T(x, y) = (x + 2, y + 5)

So, the identity transformation I = S(T(x, y)) would allow a data (x, y) to remain the same after the transformation T(x, y)

For S(x, y) = ( x - 2, y + 5), we have,

S(T(x, y)) = S(x + 2, y + 5)

               = (x + 2 - 2, y + 5 - 5)

               = (x, y)

Therefore, the translation S(x, y) that would yield the identity transformation, I = ST(x, y) which is S(x, y) = ( x - 2, y + 5).

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The complete question is:

Given T(x, y)=(x+2, y+5), state the translation S(x, y) that would yield the identity transformation, I=S(T(x,y)).

Answer:

x = 20

y = 10

Step-by-step explanation:

a. x + y = 30

3x + 4y = 100

b. x + y = 30

=> y = 30 - x

c. 3x + 4y = 100

3x + 4(30 - x) = 100

3x + 120 - 4x = 100

120 - x = 100

x = 120 - 100 = 20

d. y = 30 - x = 30 - 20 = 10

e. 20 3-point questions and 10 4-point questions.

f. x + y = 30

20 + 10 = 30

3x + 4y = 100

3(20) + 4(10) = 100

60 + 40 = 100

Answer:         x = 20   y=10

Step-by-step explanation:

Given:

30 questions

x=3 point questions

y=4point questions

Questions total to 100

Solution:

(A) Problem:

How many 3 point questions and how many 4 point questions are there?

(B) Write 2 equations:

x + y = 30                     >This represents the number of questions

3x + 4y = 100               >This represents the value of points totaling

(C)Using subsitute to solve for y:

In order to solve for y you need to solve for x for 1 of the equations and substitute

x + y = 30                       >Subtract y from both sides

x = -y + 30                      >Substitute into other equation

3(-y + 30)  + 4y = 100     >distribute

-3y + 90 + 4y = 100        >combine like terms

y + 90 = 100                   >subtract 90 from both sides

y = 10

(D)  Substitute into other equation

x + y = 30

x + 10 = 30

x = 20

(E)

There will be 20 3 point questions and 10 4 point questions.

(F)Check

x + y = 30

20 +10 = 30

30=30   yes

3(20) + 4(10) = 100

60+40=100

100=100 yes

Based on the tree diagram and the independence of the events, we can conclude that the events represented in the diagram are independent events.

To determine if the events are dependent or independent, we need to examine the branches of the tree diagram and check if the outcomes of one event affect the outcomes of the other event.

In the given tree diagram, the selection of colors for the cubes is represented by different branches. Each branch represents an independent event because the outcomes of selecting one color do not affect the outcomes of selecting another color.

The probabilities associated with each branch can be multiplied to calculate the probability of a specific sequence of events indicating that they are independent.

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The width of the border is 1/2 feet

From the information given, we have that;

Cherry wood of area to border and surrounded glass of area 9 square feet.

The combined area will be area of glass + area of the border made from cherry wood

The total area of coffee table would be ;

= 9 + 7 = 16 square feet.

Since the center glass piece is a square thus the surrounding border of cherry wood also would be of square shape.

So each side of the square is √16 = 4 feet

Outside of cherry border has 4 feet length and width while the inside of cherry border, which is same as the length and width of glass is 3 feet.

The difference is 4 -3 = 1 feet

Since border is on both sides therefore the width of the border= 1/2 feet

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Answer:

∠STU = ∠STL + ∠LTU

∠STU = 4x - 112

∠STL = 2x - 62

∠LTU = 34

4x - 112 = 2x - 62 + 34

Solve for x

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

if you substitute a for 3 and b for 2 you should get 9

Answer:

2

Step-by-step explanation:

I Think its 2 I'm not sure Correct me if I'm wrong in comments.

Answer:

decrease income

Step-by-step explanation:

income is already lower than expenses so lowering it further is the worst you can do out of all 4

Answer:

\(\displaystyle x=\left\{\arcsin\left(\frac{-1+\sqrt{3}}{2}\right), \pi-\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\right\}\)

Or their approximations:

\(x\approx \left\{0.375, 2.767\right\}\)

Step-by-step explanation:

We are given:

\(\cos(2x)=2\sin(x)\)

And we want to find the solution in [0, 2π).

Recall the double-angle identities for cosine:

\(\begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x) \\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}\)

We will use the third version. Hence:

\(1-2\sin^2(x)=2\sin(x)\)

Move all terms to one side:

\(-2\sin^2(x)-2\sin(x)+1=0\)

This is now in quadratic form. For simplicity, let u = sin(x):

\(-2u^2-2u+1=0\)

Solve for u. Simplify:

\(2u^2+2u-1=0\)

By the quadratic formula:

\(\displaystyle u=\frac{-(2)\pm\sqrt{(2)^2-4(2)(-1)}}{2(2)}}\)

Evaluate:

\(\displaystyle u=\frac{-1+\sqrt{3}}{2}\approx 0.366\text{ and } u=\frac{-1-\sqrt{3}}{2}\approx-1.366\)

Note that the second solution is > -1. Hence, we will disregard it. (The range of sine is only -1 ≤ y ≤ 1.)

Back-substitute:

\(\displaystyle \sin(x)=\frac{-1+\sqrt{3}}{2}\)

Since it is approximately 0.366, it will occur twice (once in QI and again in QII. This is because sine is positive only in those two quadrants). Using a calculator:

\(\displaystyle x_1=\arcsin\left(\frac{-1+\sqrt{3}}{2}\right)\approx0.375\)

Using reference angles, the other solution is:

\(\displaystyle x_2=\pi -x_1=\pi -\arcsin\left(\frac{-1+\sqrt{3}}{2}\right) \approx2.767\)

Answer and Step-by-step explanation:

Ok, so all we have to do is input the values into the equation.

We are told Adam bought 2 mechanical pencils and 8 spiral notebooks, which cost $13

and that

Kia bought 3 mechanical pencils and 5 spiral notebooks, which cost $12.50.

Adam: 2p + 8n = 13

Kia:     3p + 5n = 12.5

This is the answer.

#teamtrees #WAP (Water And Plant)

Answer: Adam: 2p + 8n = 13

Kia:     3p + 5n = 12.5

Step-by-step explanation:

In an F-test, the null hypothesis typically states that all specified coefficients are equal to zero. In this case, the null hypothesis is:

H0: β1 = 0, β2 = 0, βs = 0, and β4 = 0

To reject the null hypothesis, we need to find evidence that at least one of these restrictions is violated. This means that if we can show that any one of the coefficients (β1, β2, βs, or β4) is significantly different from zero, it would provide sufficient evidence to reject the null hypothesis.

Therefore, if any one of these restrictions is violated, meaning that its corresponding coefficient is not equal to zero, it would lead to rejecting the null hypothesis. In this case, only one violation among β1, β2, βs, or β4 is needed to reject the null hypothesis. Hence, the correct answer is:

(b) 1

It's important to note that the specific restriction that is violated can be different for each case, but as long as one restriction is violated, we have enough evidence to reject the null hypothesis in an F-test.

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Answer:

Step-by-step explanation:

Let the number of days is x.

Joseph tweets 13 times a day.

The number of tweets after x days would be:

t(x) - number of tweets after x days.

Answer:  B.   5/13

This is the same as writing \(\frac{5}{13}\)

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

Reason:

We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.

a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse

\(a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+12^2}\\\\c = \sqrt{25+144}\\\\c = \sqrt{169}\\\\c = 13\\\\\)

The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.

Now we can compute sine of theta

\(\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{5}{13}\\\\\)

This points us to choice B as the final answer.

----------------

Extra Info (optional)

Answer: The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle. In this case, the diameter of the wheels is 28 inches, so the circumference of each wheel is:

C = π(28) = 28π inches

To find how many revolutions the wheels need to make to travel 200 feet, we need to convert 200 feet to inches, and then divide by the circumference of each wheel. There are 12 inches in 1 foot, so 200 feet is equal to:

200 feet × 12 inches/foot = 2400 inches

Dividing 2400 inches by the circumference of each wheel, we get:

2400 inches ÷ (28π inches/revolution) ≈ 85.3 revolutions

Therefore, the car's wheels need to make approximately 85.3 full revolutions to travel 200 feet. Since the question asks for the number of full revolutions, we can round down to the nearest whole number to get:

Answer: D. 88 revolutions.

Answer:

Step-by-step explanation:

use the slope formula y2 - y1 / x2 - x1

Answer:

yes

Step-by-step explanation:

The probability of pulling out a purple ball on the 101st try is 1/5.

The answer is A, 1 chance in 5.

The probability of any given event is given by the formula below:

The given data is as follows:

There are six balls in a hat. Each ball is a different color, but all are the same size, shape, and weight.

the number of expected outcomes (purple ball) = 20

the number of possible outcomes = 16 + 13 + 19 + 15 + 17 + 20

the number of possible outcomes = 100

The experimental probability of pulling out a purple ball is:

P(purple) = 20/100 = 1/5

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Answer:

Answer down below :))

Step-by-step explanation:

Since he can read 180 pages in two hours, he can read 90 pages an hour. Times 7 x 90 will give you 630, which is your answer

Step-by-step explanation:

let the number be x

and according to question,

six + 2 times a number = 2x + 6

26 + 6 times a number = 6x + 26

→ 2x + 6 = 6x + 26

→ -6x + 2x = 26 - 6

→ -4x = 20

→ x = 20/4 = 5

→ x = 5

therefore, the number is 5.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

No solutions.

Step-by-step explanation:

-10 = 7

No solutions

The median for the students is 4 and the median for the teachers is 3 compares the medians of the data.

The dot plots display the number of siblings reported by two different groups: seventh graders and teachers at a local middle school. The students' dot plot shows varying numbers of dots above each value on the number line, indicating the frequency of students reporting that specific number of siblings. Similarly, the teachers' dot plot represents the number of teachers reporting each value.

Looking at the dot plots, it is evident that the students' distribution is skewed towards higher numbers of siblings, with the highest frequency above 2 and 3. Conversely, the teachers' distribution appears to be more spread out, with a peak around 4 and a decline towards higher numbers.

To determine the median, we identify the middle value in each distribution. In the students' dot plot, the middle value falls around 4, as there are equal numbers of dots on either side. In the teachers' dot plot, the median is around 3 since the distribution is more symmetrical.

Therefore, comparing the medians of the data, we can conclude that the median for the students is 4 and the median for the teachers is 3.

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Answer:

$22.39

Step-by-step explanation:

3 3/4 = 15/5

15/4 · 3 = 45/4

45/4 · 1.99 = 22.3875

A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

Answer:

27/.6=45 total in collection

45-27=18

18/3 per week=6 weeks

Step-by-step explanation:

The number of weeks until your collection is complete should be 6 weeks.

Since You purchase 3 action figures per week. You have 27 action figures, which is 60% of the total number of action

So here total collection should be

\(27\div 0.60\) = 45

Now the number of weeks should be

\(= (45 - 27) \div 3\)

= 6

hence, The number of weeks until your collection is complete should be 6 weeks.

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