Which value of x makes this equation true? 35 + 42 = 12 + x​

Answer: A,B,E,F

Step-by-step explanation:

i just did it

Answer:

The correct answer is, (-5,-2)(0,-1) (1,0) (4,1)

Step-by-step explanation:

i took the quiz

Since Tony is self-employed, he will have to pay all of the tax himself.

Take his adjusted earnings times the tax rate

58238.74 * 2.9%

58238.74 * .029

1688.92346

Rounding to the nearest cent

1688.92

Answer:

They are not congruent.

The lines or the marks show that each side is congruent. If you compare the sides to where the angle is, you will see that it is not congruent.

Answer:

B

Step-by-step explanation:

The line goes down 1 and right 4.  

Answer:

Option 2 represents a slope of 1/4.

Answer:

c it’s C 99% sure

Step-by-step explanation:

Answer:

They get larger

:D

The interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.

To create an interval containing the middle 95% of the data based on the simulation results, we can use the concept of confidence intervals. Since the simulation was repeated 100 times, we can calculate the proportion of tails in each set of 100 flips and then find the range that contains the middle 95% of these proportions.

Let's calculate the interval:

Calculate the proportion of tails in each set of 100 flips:

Proportion of tails = 44/100 = 0.44

Calculate the standard deviation of the proportions:

Standard deviation = sqrt[(0.44 * (1 - 0.44)) / 100] ≈ 0.0497

Calculate the margin of error:

Margin of error = 1.96 * standard deviation ≈ 1.96 * 0.0497 ≈ 0.0974

Calculate the lower and upper bounds of the interval:

Lower bound = proportion of tails - margin of error ≈ 0.44 - 0.0974 ≈ 0.3426

Upper bound = proportion of tails + margin of error ≈ 0.44 + 0.0974 ≈ 0.5374

Therefore, the interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.

Now, we can compare the observed proportion of 44 tails in 100 flips with the simulation results. If the observed proportion falls within the margin of error or within the calculated interval, then it can be considered consistent with the simulation results. If the observed proportion falls outside the interval, it suggests a deviation from the expected result.

Since the observed proportion of 44 tails in 100 flips is 0.44, and the proportion falls within the interval of 0.3426 to 0.5374, we can conclude that the observed proportion is within the margin of error of the simulation results. This means that the result of 44 tails in 100 flips is reasonably likely to occur with a fair coin based on the simulation.

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Answer:

25:10

Step-by-step explanation:

The distance between the points (-9, -11) and (13 , 3) will be;

⇒ D = 26.07

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Two points are;

⇒ (-9, -11) and (13 , 3)

Now,

The distance between the points (-9, -11) and (13 , 3) is;

D = √(13 - (-9))² + (3 - (-11))²

D = √22² + 14²

D = √484 + 196

D = √680

D = 26.07

Thus, The distance between the points (-9, -11) and (13 , 3) will be;

⇒ D = 26.07

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u⃗ and v⃗ are the desired pair of vectors.To find a pair of vectors u⃗ and v⃗ in ℝ⁴ that span the set of all vectors x⃗ ∈ ℝ⁴ ,

that are mapped into the zero vector by the transformation x⃗ ↦ ax⃗, we need to find the nullspace (or kernel) of the matrix A.

The nullspace of a matrix A consists of all vectors x⃗ such that Ax⃗ = 0.

Given the matrix A:

A = [[10, 3, -5, 1], [-3, -1, 1, -5], [11, 5, -11, 5], [0, 0, 0, 0]]

We can set up the following equation:

Ax⃗ = 0

Multiplying the matrix A by the vector x⃗ and setting it equal to the zero vector:

[[10, 3, -5, 1], [-3, -1, 1, -5], [11, 5, -11, 5], [0, 0, 0, 0]] * [x₁, x₂, x₃, x₄]ᵀ = [0, 0, 0, 0]

This gives us the following system of linear equations:

10x₁ + 3x₂ - 5x₃ + x₄ = 0

-3x₁ - x₂ + x₃ - 5x₄ = 0

11x₁ + 5x₂ - 11x₃ + 5x₄ = 0

0 = 0 (This equation represents the trivial condition)

To find the nullspace of A, we can solve this system of equations using row reduction or Gaussian elimination. The solutions to the system of equations will give us the values of x₁, x₂, x₃, and x₄ that make Ax⃗ = 0.

Solving the system of equations, we find that the nullspace of A is spanned by the vectors:

u⃗ = [1, -1, -2, 0]ᵀ

v⃗ = [3, -1, 0, 1]ᵀ

These two vectors, u⃗ and v⃗, form a pair that spans the set of all vectors x⃗ ∈ ℝ⁴ that are mapped into the zero vector by the transformation x⃗ ↦ Ax⃗.

Therefore, u⃗ and v⃗ are the desired pair of vectors.

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Hello! Based on Emma's claim that "r lx" and "zt lz," we can see that the corresponding sides of triangles RST and XYZ are congruent. In order to determine which criterion Emma could use to justify her claim, we need to consider the congruence criteria for triangles. The criteria for congruence are as follows:

1. Side-Side-Side (SSS) Criterion: This criterion states that if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

2. Side-Angle-Side (SAS) Criterion: This criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

3. Angle-Side-Angle (ASA) Criterion: This criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Based on the given information, Emma could use the Side-Side-Side (SSS) criterion to justify her claim. Since the corresponding sides of triangles RST and XYZ are congruent, Emma can conclude that the two triangles are congruent.

I hope this helps! Let me know if you have any other questions.

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Congruent triangles have the same shape and size, which means that corresponding sides and angles are equal. By using the SSS or SAS criterion, Emma can demonstrate the congruence between the two triangles.

Emma claims that triangles RST and XYZ are congruent. To support her reasoning, she can use the following criteria:

1. Side-Side-Side (SSS) Criterion: If she can show that all three pairs of corresponding sides in triangles RST and XYZ are congruent, then she can conclude that the triangles are congruent. In this case, she needs to show that RS = XY, ST = YZ, and RT = XZ.

2. Side-Angle-Side (SAS) Criterion: If she can prove that two pairs of corresponding sides and the included angle between them in triangles RST and XYZ are congruent, then she can conclude that the triangles are congruent. In this case, she needs to show that RS = XY, ST = YZ, and angle RST = angle XYZ.

It's important for Emma to provide evidence for both the sides and angles being congruent to establish congruence between the triangles. If she can show that either the SSS criterion or the SAS criterion is satisfied, she can claim that triangles RST and XYZ are congruent.

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*see attachement below for the diagram

Answer:

(252π + 20) cm²

Step-by-step explanation:

The surface area of the resulting solid = curved surface area of the cylinder + area of 1 base of the cylinder + 2(slant height of the cone)

✔️Curved surface area of cylinder = 2πrh

r = ½(12) = 6 cm

h = 18 cm

C.S.A = 2*π*6*18 = 216π cm²

✔️Area of 1 base = πr²

r = ½(12) = 6 cm

Area = π*6²

Area = 36π

✔️Slant height of the cone = 10 cm

✅The surface area of the resulting solid = 216π + 36π + 2(10)

= (252π + 20) cm²

If the sample is genuinely random, the mode of the sample may or may not be equal to the mode or mean of the population. The population size must always be equal to the sample size.

A sample's mode is the most common value in the sample. Depending on the variables specified, it might be greater, lower, or equal to the population mode. In general, when the sample size is high enough, the sample mode is assumed to be identical to the population mode. Nevertheless, this is not always the case. The chance of picking any one item in a genuinely random sample is the same throughout the whole population. This means that the mode of the sample may not always be the same as the mode or mean of the population. The sample mode might be greater or lower than the population mode. The population size must always be equal to the sample size. If the population size is 500, the sample size must be 500 as well. Any sample size less than that of the population will not correctly reflect the population.

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Answer:

\(y=\frac{1}{3} x-6\)

Step-by-step explanation:

Write down the slope-intercept form:

\(y=mx+b\)

Where m is the slope and b is the y-intercept.

To turn the equation into slope-intercept form, isolate y on the left-hand side:

\(x-3y=18\\-3y=18-x\\y=-6+\frac{x}{3} \\\)

Rearrange the equation a bit:

\(y=\frac{1}{3} x-6\)

The value of x is 25 degrees if XY is parallel to the BC option (b) 25 degrees is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

A circle is given:

XY ║ BC

x = angle XYB

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

Angle BAX = Angle XYB

In triangle AXY, Angle XAY = 90 degrees

Angle BAX = 90 - Angle BAY

x = Angle BAX = 90 - 65

x = 25 degrees

Thus, the value of x is 25 degrees if XY is parallel to the BC option (b) 25 degrees is correct.

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The parametric equations for the motion of the particle are:

x(t) = 10 cos(2πt/9)

y(t) = 10 sin(2πt/9)

Here, t represents time in seconds, and 2π/9 represents the angular speed of the particle, since it completes one revolution every 9 seconds. The radius of the circle is 10, which is used in the equations for the x and y coordinates of the particle's position at any given time t.

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Answer:

41 and 24

Step-by-step explanation:

Answer:

30 crayons

Step-by-step explanation:

Let x be the number of crayons he started with

gave out 14 crayons

x-14

Got 12 back

x-14+12

Gave out 11 after lunch

x-14+12 -11

This equals 17

x-14+12 -11 =17

Combine like terms

x-13 = 17

Add 13 to each side

x -13+13 =17+13

x = 30

Answer: 30

Step-by-step explanation:

For this problem work backwards. Start from 17 and add 14. You should get 31. Then subtract 12, which equals 19. Finally add 11 to 19, which equals 30. Basically you are doing the inverse operation to get your answer. Hope this helps!

Answer:

(-1, -5)

Step-by-step explanation:

going to the left makes you go into the (-, +) plane and going down from there makes you go into the (-, -) plane.

Answer:

  0.253 m/s

Step-by-step explanation:

You want to know the horizontal component of motion of a passenger riding a Ferris wheel when they are 1/27 of the way around the circle and their rate of rise is 0.06 m/s.

The wheel makes one revolution in 27 minutes, so the angular displacement is changing at the rate of (360°)/(27 min) = 13 1/3°/min.

After 1 minute, the passenger is following a path that has an angle of elevation of 13 1/3°.

The ratio of vertical speed to horizontal speed will be the tangent of the angle of elevation:

  Vv/Vh = tan(13 1/3°)

Then the horizontal speed will be ...

  Vh = Vv/tan(13 1/3°) = (0.06 m/s)/0.237004

  Vh ≈ 0.253 m/s

The passenger's horizontal motion is about 0.253 m/s.

Answer:

y = \(-\frac{1}{5}\)x - 4

Step-by-step explanation:

Given parameters:

   Coordinates  = (5, -5)

 Equation of the line, x + 5y = 20

Unknown:

Equation of the line parallel to this= ?

Solution:

To find the equation of the line, we must first understand that parallel lines are lines having the same slope. They do not cross each other at any point.

The equation of any straight line is given as;

          y = mx + c

y and x are the coordinates

m is the slope

c is the y- intercept

  Now,

         x + 5y = 20

  Let us find the slope of this line;

            5y  = -x + 20

Divide through by 5;

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

The slope of the new line is the coefficient of x;

  Slope =  \(-\frac{1}{5}\)

So, let us find the y-intercept of the new line;

          -5 = \(-\frac{1}{5}\) x 5 + c

          -5 = -1  + c

           c = -5 + 1   = -4

Now,

    y = \(-\frac{1}{5}\)x - 4

Answer: y = -(1/5)x - 4

Step-by-step explanation:

If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.

To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.

The total cost of the dryer can be calculated as follows:

Cost of dryer = $698.27

Total credit card charges = 12 x $1.25 = $15

Total late fees = 4 x $35 = $140

Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees

= $698.27 + $15 + $140

= $809.27

Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.

So, correct option is A.

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Answer:

The distance between the two is 465 meters

Step-by-step explanation:

We first need to set up a triangle that shows the relative position and distances of the two friends

Please check attachment for this

To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem

Mathematically;

Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

D^2 = 256^2 + 388^2

D^2 = 216,080

D = √216,080

D = 464.84 which is approximately 465 m

The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

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Answer:

b) -5^x + 3x - 2

Step-by-step explanation:

(f-g) = -5^x - 4 - (-3x - 2) = -5^x - 4 + 3x + 2 = -5^x +3x - 2

therefore, the answer is b) -5^x + 3x - 2

hope this helps! <3

The given binomial x² + 9 as given in the task content is not a difference of two squares because the arithmetic sign between the two terms represents a sum.

By observation; although the terms x² and 9 represent perfect squares, it follows that the sign between the two terms is an addition sign.

Hence, the given binomial does not qualify to be termed the difference of two squares.

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Using a P Chart to monitor the fraction non-conforming for a product. We are given a target fraction non-conforming of 0.015 and need to determine the minimum sample size required to ensure a probability of at least 99% of detecting at least one non-conforming item.

Additionally, we need to find the sample size required to detect a 1.5% increase in the fraction non-conforming with 50% probability.

Part (a):

To determine the minimum sample size for a probability of at least 99% of detecting at least one non-conforming item, we need to find the complementary probability of no non-conforming items in the sample. The probability of no non-conforming items in a sample is given by (1 - fraction non-conforming)^sample size. We want this probability to be less than or equal to 1% (1 - 0.99).

(1 - 0.015)^sample size ≤ 0.01

Taking the logarithm of both sides:

sample size * log(1 - 0.015) ≤ log(0.01)

Solving for sample size:

sample size ≥ log(0.01) / log(1 - 0.015)

By plugging in the values, we can calculate the minimum sample size required.

Part (b):

To determine the sample size required to detect a 1.5% increase in the fraction non-conforming with 50% probability, we can use the formula for sample size determination for attribute data. The formula is given by:

sample size = (Zα/2 + Zβ)^2 * (p1 * (1 - p1) + p2 * (1 - p2)) / (p2 - p1)^2

where Zα/2 and Zβ are the z-values corresponding to the desired level of significance and power, and p1 and p2 are the initial and final fraction non-conforming.

By plugging in the values, including p1 = 0.015, p2 = 0.015 + 0.015*0.015, and the desired values for significance level and power, we can calculate the required sample size.

In conclusion, to find the minimum sample size for a probability of at least 99% of detecting at least one non-conforming item, we need to calculate the sample size using the complementary probability approach. For detecting a 1.5% increase in the fraction non-conforming with 50% probability, we can use the sample size formula for attribute data. By plugging in the given values, we can determine the minimum sample sizes required for both scenarios.

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Answer:

Then maybe pay attention in class and know what to do and not ask strangers for help. We answer to try and help. Not like we get paid. We literally are just trying to help

The cutoff score for determining higher reading proficiency would be 76 (national mean score) as the cutoff point. Any score above 76 can be considered higher than the national norm.

To determine whether the reading proficiency of high school seniors in your city is higher than the national norm, we can conduct a hypothesis test using the given information. Here are the steps to follow:

State the hypotheses:

The null hypothesis (H0) assumes that the reading proficiency of high school seniors in your city is not higher than the national norm.

The alternative hypothesis (H1) assumes that the reading proficiency of high school seniors in your city is higher than the national norm.

H0: μ ≤ 76 (population mean reading score is less than or equal to the national mean)

H1: μ > 76 (population mean reading score is greater than the national mean)

Determine the significance level:

The significance level (α) is given as 5%, which means we can reject the null hypothesis if the probability of observing the given data is less than 5%.

Calculate the z-score:

To compare the sample reading score of 78 with the national norm, we need to calculate the z-score using the formula:

z = (x - μ) / σ

Where:

x = Sample mean (78)

μ = Population mean (76)

σ = Population standard deviation (1.2)

Substituting the values into the formula:

z = (78 - 76) / 1.2

z = 2 / 1.2

z = 1.67

Find the critical value:

Since our alternative hypothesis is one-tailed (μ > 76), we need to find the critical value from the z-table corresponding to a 5% significance level in the right tail.

Looking up the z-table, we find that the critical z-value for a 5% significance level is approximately 1.645.

Compare the z-score with the critical value:

If the calculated z-score is greater than the critical value, we can reject the null hypothesis; otherwise, we fail to reject it.

In this case, the calculated z-score is 1.67, which is greater than the critical value of 1.645.

Make a decision:

Since the calculated z-score is greater than the critical value, we can reject the null hypothesis.

Conclusion:

Based on the sample reading score of 78 and the given information, there is sufficient evidence to conclude that the reading proficiency of high school seniors in your city is higher than the national norm at a 5% significance level.

In summary, the cutoff score for determining higher reading proficiency would be 76 (national mean score) as the cutoff point. Any score above 76 can be considered higher than the national norm.

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