Use the equation below to answer correctly fill in the blanks.

y = 3x + 2



Since linear lines are represented by the equation y = mx + b, I know that the slope (m) is
. The b value is
. This means the line is
3 to each figure when the starting value is
.

The requried measure of the varaibles are x = 100° and y = 75°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
A figure is shown where quadrilateral is incribed in the circle.
Sum of the opposite angle of the quadrilateral is equal to 180.
x + 80 = 180
x = 100°

Similarly,
95 + y = 180
y = 75°

Thus, the measure of the angles are x = 100° and y = 75°.

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The formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D

Total tires needed by each car = 4 + 1

= 5

Total number of tires, t needed for c cars.

Number of tires needed, t = Total tires needed by each car × Number of cars produced per day

t = 5 × c

t = 5c

For instance,

if 5 cars are produced per day

Number of tires needed, t = Total tires needed by each car × Number of cars produced per day

t = 5c

= 5 × 5

t = 25 tires

Therefore, the formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D

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Answer:

48

Step-by-step explanation:

31 - (-17)

31 + 17 = 48

-TheUnknownScientist

The number of points in a large outer ring and a smaller bull's-eye are 18 points and 84 points respectively.

In order to write a system of equations that model this situation, we would assign variables to the large outer ring and the smaller bull's-eye respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into algebraic equation as follows for both Megan and Paula:

3x + 4y = 390

4x + 5y = 492

In this scenario, we would use an online graphing calculator to plot and solve the above system of equations graphically, with a point of intersection at (18, 84) as shown in the image attached below.

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Cindy used 48 meters of garland to decorate the rectangular ballroom ceiling by stringing it along the length of 12 meters, then the width of 16 meters, and finally back to the original corner.

To find out how much garland Cindy has used, use the Pythagorean theorem to determine the length of the diagonal, `d`, of the rectangular ballroom ceiling:
`d² = 12² + 16²`

= `d² = 144 + 256`

= `d² = 400`

= `d = √400`

= `d = 20`

Now that we have the length of the diagonal, `d`, we can determine the amount of garland Cindy has used.  To do that, we just need to add up the three distances she has strung the garland:
`12 + 16 + 20 = 48`

Therefore, Cindy has used `48 meters` of garland.

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Answer:

I can only help with a, witch is -3x

Step-by-step explanation:

im sorry i cant help with b, that one i cant even figure out, and im usually pretty good with math

i hope i helped you out a little bit at least

To use the GCF and distributive property to find the sum of 22 + 33, we first need to identify the GCF of both numbers, which is 11.

We can then write each number as a product using the GCF as a factor: 22 = 11 x 2 and 33 = 11 x 3. Next, we can apply the distributive property by multiplying the GCF by the sum of the other factors in each number: 11 x (2 + 3).

Finally, we can simplify the expression by adding the sum of the other factors, which is 5: 11 x 5 = 55. Therefore, the sum of 22 + 33 using the GCF and distributive property is 55.

In summary, to find the sum of 22 + 33 using the GCF and distributive property, we first identify the GCF as 11 and write each number as a product using the GCF as a factor.

We then apply the distributive property by multiplying the GCF by the sum of the other factors in each number. Finally, we simplify the expression by adding the sum of the other factors and arrive at the answer of 55. This method can be helpful when working with larger numbers or more complex expressions.

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Answer:

92

Step-by-step explanation:

E is the midpoint of AC.

F is the midpoint of BC.

FE and AB are parallel by a theorem.

m<DBF = m<EFC = 92 by corresponding angles of parallel lines cut by a transversal.

Answer:

92°

Step-by-step explanation:

The fraction is 47/200. The decimal is 0.235.

A percentage can be written in a fraction form by putting 100 on the denominator. For example, the fraction corresponding to x % is x/100.

For converting a percentage into a decimal first it should be converted into fractions as fractions can only be converted into decimal.

For example, the decimal for the fraction 50% is 0.5, which is given by writing 50% as 50/100 = 0.5 after putting decimal on 2 places left to 50.

So here the given percentage is 23.5%.

The corresponding fraction is 23.5/100 = 235/1000 = 47/200 after eliminating the decimal on the numerator and simplifying.

Now the corresponding decimal is, 0.235. Since 1000 is in the denominator for 235/1000, we can simply find the decimal by putting decimal point on 3 places left to 235.

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Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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The slope-intercept equation for the given line is y = 2x + 3

From the question, we are to determine the equation for the line

The slope-intercept form of the equation of a straight line is

y = mx + b

Where m is the slope

and b is the y-intercept

First, we will determine the slope

Slope of the line = (3 - 0) / (1.5 - 0)

Slope of the line = 3/1.5

Slope of the line = 2

∴ m = 2

On the graph, we can observe that the y-intercept is 3

∴ b = 3

Thus,

The equation becomes

y = 2x + 3

Hence, the slope-intercept equation for the given line is y = 2x + 3

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If the value of the land fell to $100000 , then the amount of loss Albert can claim in 2022 is $0.

How to calculate the loss of amount?

To calculate the amount lost, simply take in account the transaction from both sides and subtract/add accordingly to know the lost amount.

According to the given question:

The value of the tract land in 2019 that Albert purchased = $140000

and he heard that after the new highway project the property and  land would soon be worth of $200,000 .

After survey the value of the project will be = $180000 ,

After the abandoning of highway project , the value = $100000 .

But Albert cannot claim any loss because there was no transaction.

It is not given that Albert sold the land so neither did he gain or make a loss.

Therefore , the correct option is (e) None of these choices are correct .

The given question is incomplete , the complete question is

Albert purchased a tract of land for $140,000 in 2019 when he heard that a new highway was going to be constructed through the property and that the land would soon be worth $200,000. highway engineers surveyed the property and indicated that he would probably get $180,000. the highway project was abandoned in 2022 and the value of the land fell to $100,000. what is the amount of loss albert can claim in 2022 ?

(a) $100,000

(b) $60,000

(c) $40,000

(d) $80,000

(e) None of these choices are correct.

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Answer:

x = 3

Step-by-step explanation:

since they are similar use these ratios

x/9 = 1/3

do cross multiplication

9*1 = 3*x

9/3 = x

3 = x

Answer:

\(x + 4 + 2x + 1 \\ 3x + 5 \\ x = \frac{ - 5}{3} \)

A minimum sample size of 1069 is required to estimate the proportion of elementary, middle, and high school teachers who contributed to a candidate during a recent election cycle such that the margin of error is no more than 0.03 for a 95 percent confidence interval.

In order to estimate the proportion of elementary, middle, and high school teachers who contributed to a candidate during a recent election cycle, a researcher in campaign finance law wants to determine the minimum sample size such that the margin of error is no more than 0.03 for a 95 percent confidence interval.

Assuming that the researcher wants to establish a 95% confidence interval, the level of significance (α) is 1 - 0.95 = 0.05. Furthermore, we can assume that there is no prior knowledge of the population proportion, which is the proportion of elementary, middle, and high school teachers who contributed to a candidate during the election cycle. The standard deviation of a proportion is calculated using the following formula:

\(σ_p=√(p(1−p)/n)\)

Here, n is the sample size and p is the proportion of elementary, middle, and high school teachers who contributed to a candidate during the election cycle. Because there is no prior knowledge of p, it is assumed that the sample proportion, p-hat, is equal to 0.5.

Using these values, we can calculate the minimum sample size required for a margin of error of 0.03 for a 95 percent confidence interval.

α/2=0.025 can be determined by dividing the level of significance (α) by two. This will allow us to calculate the appropriate critical value. To calculate the critical value, we can look up the value of 0.025 in a standard normal distribution table.

Z_α/2=1.96 is the corresponding z-value for a 95% confidence interval.With the critical value, we can now calculate the minimum sample size using the formula below:

\(n = (Z^2) (p) (1 - p) / (E^2)\)

where, Z = critical valueα = level of significance (0.05)

E = margin of error (0.03)

p-hat = 0.5

The minimum sample size for a 95% confidence interval with a margin of error of 0.03 and no prior knowledge of the population proportion is as follows:

\(n = (1.96)^2 (0.5) (0.5) / (0.03)^2n = 1068.44444 ≈ 1069\)

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The eigenvalues of the given matrix are 4, 2, 0, and 0, with corresponding eigenvectors given by [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for eigenvalue 4, [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for eigenvalue 2, [0, cos(πn/5), cos(2πn/5), cos(3πn/5)] for eigenvalue 0 (n ≠ 0), and [0, 1, -2, 1] and [1, 0, 0, 0] for eigenvalue 0 (n = 0).

To find the eigenvalues and eigenvectors, we start by using the sine transform. Let S be the 4x4 sine matrix, i.e., the entry in the i-th row and j-th column of S is given by sin(πij/5). Then, we can write the given matrix as M = 3I + S + S^T, where I is the 4x4 identity matrix.

Next, we find the eigenvalues of S. Since S is a real symmetric matrix, its eigenvalues are real and its eigenvectors are orthogonal. By inspection, we see that the columns of S are orthogonal and have length 2, so the eigenvalues of S are given by λn = 2(1 - cos(πn/5)) for n = 1, 2, 3.

Now, we can find the eigenvalues of M. Since M = 3I + S + S^T, the eigenvalues of M are given by μn = 3 + λn + λm, where λn and λm are the eigenvalues of S. Thus, we have μ1 = 4, μ2 = 2, and μ3 = μ4 = 0.

To find the eigenvectors of M, we need to solve the equations (M - μnI)x = 0 for each eigenvalue μn. For μ1 = 4, we have (M - 4I)x = (S - 2I)(S^T - 2I)x = 0, which has non-trivial solutions of the form [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for n = 1, 2, 3, 4.

Similarly, for μ2 = 2, we have solutions of the form [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for n = 1, 2, 3, 4. For μ3 = 0, we have solutions of the form [0, cos(πn/5), cos(2πn/5), cos(3πn/5)] for n ≠ 0. Finally, for μ4 = 0, we have two linearly independent solutions: [0, 1, -2, 1] and [1, 0, 0, 0].

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Answer:

There are 10 perfect squares between 1 and 100;

A perfect square is basically an integer that is a square of an integer. Or simply the product of an integer with itself.

Explanation:

The perfect squares between 1 and 100 are:

1*1 = 1

2*2 = 4

3*3 = 9

4*4 = 16

5*5 = 25

6*6 = 36

7*7 = 49

8*8 = 64

9*9 = 81

and

10*10 = 100

Therefore, the net cash provided or used by operating activities is $115,000.

Starting with the net income of $127,000, we add back the depreciation expense of $36,500 since it is a non-cash expense. We also subtract the gain on sale of plant assets of $10,500 since it is a non-operating gain. These adjustments result in an adjusted net income of $153,000 ($127,000 + $36,500 - $10,500).

Next, we consider the changes in current assets and liabilities. Since accounts receivable decreased by $10,700, we add this amount to the adjusted net income. Merchandise inventory increased by $24,500, so we subtract this amount. Prepaid expenses increased by $7,500, so we subtract this amount as well. Lastly, accounts payable increased by $4,700, so we add this amount.

Calculating the net cash provided or used by operating activities:

Adjusted net income + Changes in current assets and liabilities

$153,000 + (-$10,700) + (-$24,500) + (-$7,500) + $4,700 = $115,000

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Answer:

c

Step-by-step explanation:

Answer:

..........c............

Answer:

C. y=x

Step-by-step explanation:

If you use a graphing calculator and plot the points (-3,5) & (5,-3) and then graph y=x you can see it is the line of reflection.

Also when reflecting over the line y=x, we switch our x and y.

1.

The exact degree measure for angle a) is 60°.

The exact degree measure for angle b) is 72°

The exact degree measure for angle c) is 15°.

2.

The exact radian measure for angle a) is π/36.

The exact radian measure for angle b) is π/9.

The exact radian measure for angle c) is 2π/3.

1.
a) To convert from radians to degrees, we use the formula:
degree measure = radian measure x (180/π)

So, for angle a) π/3, we have:
degree measure = (π/3) x (180/π) = 60°


For angle b) 2π/5, we have:
degree measure = (2π/5) x (180/π) = 72°


For angle c) π/12, we have:
degree measure = (π/12) x (180/π) = 15°


2.
a) To convert from degrees to radians, we use the formula:
radian measure = degree measure x (π/180)

So, for angle a) 35°, we have:
radian measure = 35 x (π/180) = π/36


For angle b) 20°, we have:
radian measure = 20 x (π/180) = π/9


For angle c) 120°, we have:
radian measure = 120 x (π/180) = 2π/3
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Answer:

4 people caught the bus

Step-by-step explanation:

The cash price of the refrigerator is $408.

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, a new refrigerator has a price of $480.00.

The store will discount the price by 15% if the purchaser pays in cash.

Now, the discount is

15% of 480

= 15/100 ×480

= 0.15×480

= 72

Now, 480-72

= $408

Therefore, the cash price of the refrigerator is $408.

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gcf = 7

= 7q(3b + 2 - 4r)

4x - 8y + 16z

gcf = 4

= 4(x - 2y + 4z)

1)

= 7q ( 3b+2-4r )

2)

= 4(x−2y+4z)

hope this helps

Answer:

This is my best solution for your question

Answer:

Duh MeepMeepMeepMeep

Step-by-step explanation:

bc I said

Answer:

Meepmeepmeepmeep or Meeeeeeeep.

Step-by-step explanation:

Meeeeeeeep has all of the es. Meepmeepmeepmeep has everything.

a. Bisection Method: To use the bisection method to find the real roots of the equation f(x) = x³ + x² - 10x + 8, we need to find an interval [a, b] such that f(a) and f(b) have opposite signs.

Let's make a preliminary estimate and choose the interval [1, 2] based on observing the sign changes in the equation.

Iteration 1: a = 1, b = 2

c = (a + b) / 2

= (1 + 2) / 2 is 1.5

f(c) = (1.5)³ + (1.5)² - 10(1.5) + 8 ≈ -1.375

ince f(c) has a negative value, the root lies in the interval [1.5, 2].

Iteration 2:

a = 1.5, b = 2

c = (a + b) / 2

= (1.5 + 2) / 2 is 1.75

f(c) = (1.75)³ + (1.75)² - 10(1.75) + 8 ≈ 0.9844

Since f(c) has a positive value, the root lies in the interval [1.5, 1.75].

Iteration 3: a = 1.5, b = 1.75

c = (a + b) / 2

= (1.5 + 1.75) / 2 is 1.625

f(c) = (1.625)³ + (1.625)² - 10(1.625) + 8  is -0.2141

Since f(c) has a negative value, the root lies in the interval [1.625, 1.75].

Iteration 4: a = 1.625, b = 1.75

c = (a + b) / 2

= (1.625 + 1.75) / 2 is 1.6875

f(c) = (1.6875)³ + (1.6875)² - 10(1.6875) + 8 which gives 0.3887.

Since f(c) has a positive value, the root lies in the interval [1.625, 1.6875].

Iteration 5: a = 1.625, b = 1.6875

c = (a + b) / 2

= (1.625 + 1.6875) / 2 is 1.65625

f(c) = (1.65625)³ + (1.65625)² - 10(1.65625) + 8 is 0.0873 .

Since f(c) has a positive value, the root lies in the interval [1.625, 1.65625].

Iteration 6: a = 1.625, b = 1.65625

c = (a + b) / 2

= (1.625 + 1.65625) / 2 which gives 1.640625

f(c) = (1.640625)³ + (1.640625)² - 10(1.640625) + 8 which gives -0.0638.

Since f(c) has a negative value, the root lies in the interval [1.640625, 1.65625].

teration 7: a = 1.640625, b = 1.65625

c = (a + b) / 2

= (1.640625 + 1.65625) / 2 results to 1.6484375

f(c) = (1.6484375)³ + (1.6484375)² - 10(1.6484375) + 8 is 0.0116

Since f(c) has a positive value, the root lies in the interval [1.640625, 1.6484375].

Continuing this process, we can narrow down the interval further until we reach the desired level of accuracy.

b. Newton-Raphson Method: The Newton-Raphson method requires an initial estimate for the root. Let's choose x₀ = 1.5 as our initial estimate.

Iteration 1:

x₁ = x₀ - (f(x₀) / f'(x₀))

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 which gives -1.375.

f'(x₀) = 3(1.5)² + 2(1.5) - 10 which gives -1.25.

x₁ ≈ 1.5 - (-1.375) / (-1.25) which gives 2.6.

Continuing this process, we can iteratively refine our estimate until we reach the desired level of accuracy.

c. Secant Method: The secant method also requires two initial estimates for the root. Let's choose x₀ = 1.5 and x₁ = 2 as our initial estimates.

Iteration 1: x₂ = x₁ - (f(x₁) * (x₁ - x₀)) / (f(x₁) - f(x₀))

f(x₁) = (2)³ + (2)² - 10(2) + 8 gives 4

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 gives -1.375

x₂ ≈ 2 - (4 * (2 - 1.5)) / (4 - (-1.375)) gives 1.7826

Continuing this process, we can iteratively refine our estimates until we reach the desired level of accuracy.

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Rule for a dilation with center (0,0)

k is the scale factor.

For point P (0,3):

Answer:

79

Step-by-step explanation:

Answer:

THE ANSWER FOR YOUR QUESTION IS &(

HOPPE THIS HELPY YOU IF YOU NEEDD HELP LEAVE A COMMENT

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Step-by-step explanation:

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