PLS HELPPPPP THANK UUU
y = -x + 2
y = 3x - 4

a. x = 1/2, y = 3/2
b. x = 5/2, y = 1/2
c. x = 3/2, y = 1/2
d. x = 1/2, y = 5/2

+ graph

Answer:These words are point, line and plane, and are referred to as the "three undefined terms of geometry".

The height in feet of the tree is 111.5 ft.

The height of a house is 52 ft.

A tree beside the house is 7.5 ft more than twice as tall.

The height of the tree is as follows:

let

x = height of the house

Therefore,

The height of the house = x = 52 ft

Hence,

height of the tree = 7.5 + 2x

height of the tree = 7.5 + 2(52)

height of the tree = 7.5 + 104

height of the tree = 111.5

height of the tree = 111.5 ft

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The interest rate for an $8,000.00 deposit accumulating to $10,642.92 compounded quarterly for 5 years can be found using the formula for compound interest. The interest rate is approximately 5.01%.

To find the interest rate, we can use the formula for compound interest:

A = P\((1 + r/n)^(nt)\)

Where:

A = the final amount ($10,642.92)

P = the principal amount ($8,000.00)

r = the interest rate (unknown)

n = the number of times interest is compounded per year (4 for quarterly compounding)

t = the number of years (5)

We can rearrange the formula to solve for the interest rate (r):

r = ( \((A/P)^(1/nt)\) - 1 ) * n

Plugging in the values:

r = (\((10,642.92/8,000.00)^(1/(4*5))\) - 1 ) * 4

Calculating this expression, we find that the interest rate is approximately 0.0501, or 5.01%.

Therefore, the interest rate for the deposit of $8,000.00 accumulating to $10,642.92 compounded quarterly for 5 years is approximately 5.01%.

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Therefore, based on the given exponential growth function, the predicted value for the year 2023 is approximately 278.819.

To make a prediction for the year 2023 using the exponential growth function f(t) = \(177(1.03)^t\), where t represents the number of years since 1990, we can substitute t = 33 into the equation and evaluate the expression. This will give us an estimate of the value of f(t) in the year 2023.

Given the exponential growth function f(t) =\(177(1.03)^t\), where t represents the number of years since 1990, we can find the value of f(33) to make a prediction for the year 2023.

Substituting t = 33 into the equation, we have:

f(33) = \(177(1.03)^33\)

Evaluating this expression, we can calculate the predicted value for the year 2023. The calculation is as follows:

f(33) ≈ \(177(1.03)^33\)

≈ 177(1.57397)

≈ 278.819

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Answer:

(1,3)

Step-by-step explanation:

7 can be split as 4+3

4x=4, then x=1

y=3

An ordered pair can be (1,3)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

how are you how many years

Answer:

I think the moon is seven and the star is 4.

Step-by-step explanation:

To evaluate the limit lim [cos (2x)]¹/(x-π) as x approaches T, we can use L'Hospital's Rule. The result of applying L'Hospital's Rule is that the limit is equal to -2 sin(2T) / (x-π)^2.

To apply L'Hospital's Rule, we differentiate the numerator and the denominator separately. The derivative of cos(2x) is -2 sin(2x), and the derivative of (x-π) is 1.

After differentiating, we obtain the limit lim -2 sin(2x) / 1 as x approaches T. Now, we can substitute T into the expression, resulting in -2 sin(2T) / 1.

Therefore, the limit of [cos (2x)]¹/(x-π) as x approaches T using L'Hospital's Rule is -2 sin(2T) / (x-π)^2. This result indicates the behavior of the original function as x approaches T.

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These values of h and k are specific to the given system of equations and may not apply to other systems.

(a) The system has no solution when h = 16.
(b) The system has a unique solution for any value of h ≠ 16.
(c) The system has many solutions when h = 16.

To determine the values of h and k that result in different solutions for the given system of equations, let's analyze the coefficient matrix of the system:
```
2   4
8   h
```
(a) To have no solution, the coefficient matrix must be inconsistent. This occurs when the determinant of the matrix is zero. In this case, the determinant is 2h - 32. So, to have no solution, we need 2h - 32 = 0. Solving this equation, we find h = 16. Therefore, the system has no solution when h = 16.

(b) To have a unique solution, the coefficient matrix must be consistent and have a non-zero determinant. This means that 2h - 32 ≠ 0. Since the determinant of the coefficient matrix is 2h - 32, we can conclude that the system has a unique solution for any value of h such that h ≠ 16.
(c) To have many solutions, the coefficient matrix must be consistent and have a determinant of zero. In this case, we need 2h - 32 = 0, which gives us h = 16. Therefore, the system has many solutions when h = 16.

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Answer:

\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)

The size class interval recommend is 30.

Assume that the observations are more or less evenly distributed across the range, and you should get about 5 observations per class.

It also presumes that your interest in the observations is uniform: you are equally interested in values close to 60 as you are in values close to 480. If you were only interested in values above 450, you could group all values from 56 to 449 into one large class and divide the rest into smaller classes.

It is also necessary to check to see if the distribution is uniform. If it is skewed in either direction, it makes more sense to have smaller classes where the observations are dense and larger classes where they are sparse.

Therefore, the size class interval recommend is 30.

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Answer:

Rotate Figure L 135 degrees counterclockwise around the point of intersection of the arms. Reflect across the right arm

Step-by-step explanation:

Explanation:

We have to multiply -4 by itself 3 times: (-4)³ = (-4)x(-4)x(-4)

The first time we'll have a positive number, because the product of two negative numbers is a positive number:

Now we just have to solve 16x(-4). The result will be a negative number, because the product between a positive and a negative number is negative:

Answer:

(-4)³ = -64

Answer:

16°

Step-by-step explanation:

Reference angle = \( \theta \)

Side Opposite to reference angle = 14

Adjacent side = 48

Hypotenuse = 50

Let's apply arcsin:

Thus:

\( \theta = sin^{-1}(\frac{Opp}{Hyp}) \) (recall: SOHCAHTOA)

Plug in the values

\( \theta = sin^{-1}(\frac{14}{50}) \)

\( \theta \) = 16.2602047° = 16°

a. The linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

b. If the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

a. Let's first find the slope of the line using the formula:

slope (m) = (y2 - y1) / (x2 - x1)

where (x1, y1) = (117, 73) and (x2, y2) = (180, 80).

slope = (80 - 73) / (180 - 117)

= 7 / 63

= 1/9

Now, let's use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Using the point (117, 73):

T - 73 = (1/9)(N - 117)

Simplifying the equation:

T - 73 = (1/9)N - (1/9)117

T - 73 = (1/9)N - 13

Now, let's rearrange the equation to solve for T:

T = (1/9)N - 13 + 73

T = (1/9)N + 60

Therefore, the linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

(b) If the crickets are chirping at 155 chirps per minute, we can estimate the temperature T using the linear equation we derived.

T(N) = (1/9)N + 60

Substituting N = 155:

T(155) = (1/9)(155) + 60

T(155) = 17.22 + 60

T(155) ≈ 77.22

Therefore, if the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

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There are 154 ways to select a committee of 4 students out of 10 students if 2 of the students refuse to serve together.

To select a committee of 4 students out of 10 students with 2 of them refusing to serve together, we can use the principle of inclusion and exclusion.

First, we calculate the total number of ways to select 4 students out of 10, which is given by the combination formula:

C(10,4) = 10! / (4! * 6!) = 210

Next, we calculate the number of ways to select 4 students out of the 8 who are willing to serve together:

C(8,4) = 8! / (4! * 4!) = 70

However, we have to subtract the number of ways that the two students who refuse to serve together are selected. Since there are 2 such students, there are 2 ways that they can be included in the committee of 4.

For each of these cases, we have to select 2 students out of the remaining 8 who are willing to serve together:

C(8,2) = 8! / (2! * 6!) = 28

Thus, the number of ways to select a committee of 4 students out of 10 students with 2 of them refusing to serve together is:

210 - 2 * 28 = 154

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In graphs, The minutes are shown on the x axis. The water depth is shown on the y axis (inches) Therefore, the depth of the water lowers with increasing minutes. Consequently, there is a change in water depth every minute

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

The graph shows the depth of water in a bathtub as water drains out.

The graph shows that as the value of x increases, the value of y decreases.

The minutes are shown on the x axis.

The water depth is shown on the y axis (inches)

Therefore, the depth of the water lowers with increasing minutes.

Consequently, there is a change in water depth every minute.

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

Work Shown:

A = area of the triangle on top, aka ceiling

A = 0.5*base*height = 0.5*6*8 = 24

B = area of the triangle on the bottom, aka floor

B = A = 24

C = area of the front rectangular face

C = length*width = 10*7 = 70

D = area of the face in back on the left

D = length*width = 6*7 = 42

E = area of the face in back on the right

E = length*width = 8*7 = 56

Total surface area = A+B+C+D+E = 24+24+70+42+56 = 216 square meters

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

Alternative Method:

A = area of the triangle on top, aka ceiling

A = 0.5*base*height = 0.5*6*8 = 24

B = area of the triangle on the bottom, aka floor

B = A = 24

LA = lateral area = wall area

LA = (perimeter of the base)*(height)

LA = (6+8+10)*(7)

LA = 24*7

LA = 168

Total surface area = A+B+LA = 24+24+168 = 216 square meters

Answer:

10 meters is equivalent to 1000 cm and 0.01 kilometers

Step-by-step explanation:

Note that the angles above are marked to  be similar hence, one half of the base has a length of 16 units.

To solve this problem, we can use the fact that the line bisecting the angle at the top of a triangle also bisects the base. This means that the two halves of the base are equal in length.

Let's call the length of one half of the base "z". Then, the length of the other half of the base is also "z". The total length of the base is 32 units, so we can set up an equation:

z + z = 32

Simplifying this equation, we get:

2z = 32

Dividing both sides by 2, we get:

z = 16

So one half of the base has a length of 16 units.

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Answer:

6 hours is your answer, good luck

Answer:

6 hours

Step-by-step explanation:

The law of cosines and the trigonometric ratios indicates that we get;

3) m∠A ≈ 78°, m∠B ≈ 57°, m∠C ≈ 45°

4) θ ≈ 18°

The law of cosines states that the square of the length of a side of a triangle is equivalent to the sum of the squares of the lengths of the other two side less the product of 2, the other two sides and the cosine of the opposite angle.

Where; a, b, c, are the lengths of the sides of the triangle and A is the measure of the angle facing side a.

The centers of the circular cross section of the pipe are A, the 2 inches pipe, B, the 3 inches pipe, and C, the 4 inches pipe

The radius of the pipes are; 2 inches, 3 inches and 4 inches

Therefore, the lengths of the sides of the triangle ABC are;

AB = 2 inches + 3 inches = 5 inches

BC = 3 inches + 4 inches = 7 inches

AC = 2 inches + 4 inches = 6 inches

The law of cosines, indicates that we get;

7² = 6² + 5² - 2 × 6 × 5 × cos(A) = 61 - 60·cos(A)

49 = 61 - 60·cos(A)

60·cos(A) = (61 - 49) = 12

cos(A) = 12/60 = 1/5

Similarly;

6² = 5² + 7² - 2 × 5 × 7 × cos(B) = 74 - 70·cos(B)

36 = 74 - 70·cos(B)

70·cos(B) = (74 - 36) = 38

cos(B) = 38/70 = 19/35

The angle sum property of a triangle indicates that we get;

m∠A + m∠B + m∠C = 180°

m∠C = 180° - (m∠A + m∠B)

m∠C ≈ 180° - (78° + 57°) = 45°

4) The coordinates of the points on the segment OA are; (0, 0), and (12, 5)

The coordinates of the points on the segment OB are, (0, 0), and (8, 7)

The angles formed by the segments and the x-axis are equivalent to the arctangent of the slope of the the segment, which can be found as follows;

tan(∠AOX) = 5/12

The angle formed by the segment OA and the x-axis is therefore;

∠AOX = arctan(5/12) ≈ 23°

tan(∠BOX) = 7/8

The angle formed by the segment OA and the x-axis is therefore;

∠BOX = arctan(7/8) ≈ 41°

The angle addition postulate, indicates that we get;

∠BOX = ∠AOX + θ

Therefore;

41° = 23° + θ

θ ≈ 41° - 23° = 18°

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Answer:

The answer is 132/95

or u can write 158*36

Step-by-step explanation:

Hope this Helps lol

Based on the given information, it is explicitly mentioned whether the sample was randomly selected. This means that, based on the sample data, we can estimate the range within which the true proportion of interested participants is likely to fall with 95% confidence.

In statistics, a sample refers to a subset of a population that is selected for analysis or study in order to make inferences about the entire population. It is often not feasible or practical to collect data from an entire population, so a sample is used as a representative subset to gather information and draw conclusions about the larger population.

Here,

(a) The parameter that the confidence interval will estimate is the proportion of people in the area who are interested in participating in the LARPing event.

(b) The conditions that must be met to use a confidence interval procedure for a proportion are:

Random Sample: The survey respondents must be randomly sampled from the population of interest. This ensures that the sample is representative of the population.

Large Sample Size: The sample size must be sufficiently large, typically with at least 10 successes and 10 failures in the sample. This ensures that the sampling distribution of the sample proportion is approximately normal.

Independence: The responses of the survey respondents must be independent of each other. This means that one respondent's answer should not influence the answer of another respondent.

Based on the given information, it is not explicitly mentioned whether the sample was randomly selected or whether the sample size is large enough, and whether the responses are independent. This information would need to be provided or assumed in order to determine if the conditions for using a confidence interval procedure for a proportion have been met.

(c) The appropriate critical value can be found using a table or calculator. For a 95% confidence interval, the critical value is 1.96. The standard error of the sample proportion can be found using the formula:

SE = √(p(1-p)/n)

where p is the sample proportion and n is the sample size. Plugging in the values from the problem, we get:

SE = √(0.288(1-0.288)/1500)

= 0.020

(d) The 95% confidence interval can be calculated using the formula:

sample proportion ± (critical value) x (standard error)

Plugging in the values from the problem, we get:

0.288 ± 1.96 x 0.020

= 0.288 ± 0.0392

The 95% confidence interval is (0.2488, 0.3272).

(e) The interpretation of the confidence interval constructed in part (d) would be: We are 95% confident that the true proportion of people in the area who are interested in participating in the LARPing event lies between the lower and upper bounds of the confidence interval. The larger the confidence interval, the less precise our estimate, but the higher our level of confidence in the range.

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The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.

Percentage increase is the amount added to the initial value of a product in the percentage part.

The percentage increase over a year can be found out using the compound interest formula,

\(A=P(1+\dfrac{r}{100})^n\)

Here, (A) is the final amount (P) is the principal amount, (r) is the rate and n is the time period.

Aria paid $75,000 for her house. its property value increased by 2.2% per year.  The time period is 11 years. Put these values in the above formula as,

\(A=75000(1+\dfrac{2.2}{100})^{11}\\A=95284.3\)

To the nearest, a hundred dollars,

\(A=95300\)

The worth of the Aria's house, when she sold her house after eleven years, is $95300 to the nearest a hundred dollars.

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Answer: incase you're still confused, the answer is $95,300. Hope this helps <3

Answer: 20 Minutes

Step-by-step explanation:

If you are traveling double the speed, the end time is going to be half of the original time.

Answer:

  Y: 23

  X: 28

Step-by-step explanation:

Where the transversal crosses parallel lines, the acute angles are congruent, and supplementary to the obtuse angles.

  (5y -4) +(3y) = 180 . . . . obtuse and acute angles are supplementary

  8y = 184 . . . . . . . . . . simplify

  y = 23 . . . . . . . . . .divide by 8

__

  3y = 2x +13 . . . . acute angles are congruent

  3(23) -13 = 2x . . . . substitute for y, subtract 13

  56/2 = x = 28 . . . . divide by 2

Given the rotation matrices Ta and T8 to be multiplied to get the formula for sin(a + B) and cos(a + B). Ta and T8 are given by,

Ta = [cos a −sin a; sin a cos a]

T8 = [cos 8 −sin 8; sin 8 cos 8]

Now, the product of Ta and T8 will give us the matrix,

TM = Ta.

T8= [cos a −sin a; sin a cos a].[cos 8 −sin 8; sin 8 cos 8]

Let's multiply both matrices to get the product matrix.

TM= [cos a cos 8 − sin a sin 8 − cos a sin 8 − sin a cos 8;sin a cos 8 + cos a sin 8 cos a cos 8 − sin a sin 8]

Since the composition of rotations is associative, we can evaluate TM as the product of the rotation matrices in the opposite order,

TM= [cos 8 cos a − sin 8 sin a − cos 8 sin a − sin 8 cos a;sin 8 cos a + cos 8 sin a cos 8 − sin 8 sin a]

Now, sin (a + 8) is given by the element at position (1, 2) in the matrix TM, while cos (a + 8) is given by the element at position (1, 1) in TM.

sin (a + 8) = −cos a sin 8 − sin a cos 8

= −sin a cos 8 + cos a sin 8

= sin a cos(8) − cos a sin(8)cos (a + 8)

= cos a cos 8 − sin a sin 8

= cos 8 cos a − sin 8 sin a

Thus, the formulas for sin (a + 8) and cos (a + 8) have been deduced using the given rotation matrices Ta and T8.

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The contractor would have to work for 20 hours on the site to earn $555 total pay

What is total cost function?

Total cost function is the sum of the fixed charge, which is fixed cost to the person paying the contractor when the contractor visits the site and charge per hour multiplied by the number of hours spent working

TC=a+bX

TC=total cost=$555

a=fixed charged=$55

b=charge per hour=variable element of contractor's pay=$25

X=number of hours spent working=unknown

$555=$55+$25X

$555-$55=$25X

$500=$25*X

X=$500/$25

X=20

The contractor needs to work for 20 hours in order to earn a total pay of $555

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Answer:

6.66 liters

Step-by-step explanation:

34% of one liter would leave 66% of the liter left, and if you were to add the other 6 liters to it, you would get your answer.