pls help me

In the figure, =m∠1+x66° and =m∠22x°. 1 2 (a)Write an equation to find x. Make sure you use an "=" sign in your answer. Equation: (b)Find the degree measure of each angle. =m∠1 °

Answer:

B)  x = 12

Step-by-step explanation:

m∡EOU = m∡TQE

m∡EOU =180 - (39+45) = 96°

m∡TQE:  7x + 12 = 96

7x = 84

x = 12

Answer:

14 and 15

Step-by-step explanation:

\(196<201<225 \\ \\ \sqrt{196}<\sqrt{201}<\sqrt{225} \\ \\ 14<\sqrt{201}<15\)

Answer:

1. 15a⁵b²+4a⁵b²

= 19a⁵b²

2. -7m-m²+4m²-3m

= -7m -3m -m²+4m²

= -10m +4m²

3. 2pq⁷ and -pq⁷

= (2pq⁷) +(-pq⁷)

= 2pq⁷-pq⁷

= pq⁷

4. -13xy from -5xy

= -5xy - 13xy

= - 18xy

it's your answer . check it out

Answer:

18/3=6

Step-by-step explanation:

3 can be made out of 18 6 times

Answer:

The cost per ounce of the small cup is $0.269

Step-by-step explanation:

To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.

Cost per ounce = Cost of the cup ÷ Number of ounces in the cup

Cost of the cup = $2.69

Number of ounces in the cup = 10 oz

So,

Cost per ounce = $2.69 ÷ 10 oz

Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)

Therefore, the cost per ounce of the small cup is $0.269.

Total combinations are found by multiplying the quantities of each part by each other.

3 kinds of meat x 2 types of bread x 3 types of drinks

A) total combinations = 3 x 2 x 3 = 18

B) there are 18 different combinations, ham in rye with tea is 1 combination.

The probability would be 1/18

a) There are 2400 animals on the farm.

b) The number of sheep on the farm is 700.

c) The percentage of rabbits in relation to the total number of animals is 37.5%.

d) The angle that represents the number of pigs is 75 degrees.

a) To determine the total number of animals on the farm, we add up the number of rabbits, sheep, cattle, and pigs:

Total number of animals = 900 (rabbits) + 700 (sheep) + 300 (cattle) + 500 (pigs) = 2400 animals.

b) The number of sheep on the farm is given as 700.

c) To calculate the percentage of rabbits in relation to the total number of animals, we divide the number of rabbits by the total number of animals and multiply by 100:

Percentage of rabbits = (900 / 2400) * 100 = 37.5%.

d) To calculate the angle that represents the number of pigs, we need to find the proportion of the total number of animals that pigs make up, and then convert it to an angle on the pie chart.

Proportion of pigs = 500 / 2400 = 0.2083.

To find the angle in degrees, we multiply the proportion by 360 degrees:

Angle representing pigs = 0.2083 * 360 = 75 degrees.

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Answer:-4,-3

Step-by-step explanation:

-4 is lower then -3 and the arrow faces the x meaning it is lower than -3.

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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Answer:

40000, 20000

Step-by-step explanation:

Let the amount a grandchild receives be \(x\). Then, the amount a child receives is \(2x\).

Thus, \(220000=2(2x)+7x=11x \implies x=20000\).

This means each grandchild gets $20,000 and each child gets $40,000.

Using matrices the simultaneous equation is solved to get x = 3 and y = 5

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

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Answer:

Hakim's share = 2 x 12 = 24 guppies

Edmund's share = 3 x 12 = 36 guppies

Paul's share = 6 x 12 = 72 guppies

Step-by-step explanation:

We will have Hakim's share as the base unit.

Hakim : Edmund = 2:3

Edmund : Paul = 1:2

Hakim : Edmund : Paul = 2:3:3x2 = 2:3:6

Total units = 2+3+6 = 11 units

11 units = 132 guppies

1 unit = 132/11 = 12 guppies

Hakim's share = 2 x 12 = 24 guppies

Edmund's share = 3 x 12 = 36 guppies

Paul's share = 6 x 12 = 72 guppies

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:

A prism is a three-dimensional shape with the same cross-section all the way through.

Step-by-step explanation: Im not sure if i got the second right

A prism is a three-dimensional shape with the same cross-section all the way through.

A prism is a type of three-dimensional (3D) shape with flat sides. It has two ends that are the same shape and size (and look like a 2D shape).It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.

A prism has a solid shape consisting of two identical ends (such as triangle, square, rectangle, etc.), flat faces or surfaces and uniform cross-section across its length. The cross-section looks like a triangle hence called triangular prism. The shape of the prism does not have any curve.

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Answer:

the monthly payment is $18,750

Step-by-step explanation:

The computation of the monthly payment is shown below:

= (Loan amount × given percentage) ÷ number of months in a year

= ($300,000 × 75%) ÷ 12 months

= $18,750

Hence, the monthly payment is $18,750

Answer:

Z = -1.65

Step-by-step explanation:

Z-score:

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the critical value for the 5% significance level?

One-tailed statistic, so Z with a p-value of 0.05.

Looking at the z-table, this is Z = -1.65, so this is the critical value for the 5% significance leve.

The solution to the system of equations is (0.92, -33.33) and (9.08, -33.33)

A system of equations is a collection of atleast two equations.

In this case, the system of equations is given as

x^2-10x-y=25

-2x^2+20x-y=50

Next, we plot the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the curves intersect at (0.92, -33.33) and (9.08, -33.33)

Hence, the solution is (0.92, -33.33) and (9.08, -33.33)

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Answer

2766.5

Step-by-step explanation:

Well to solve for average all you have to do is add the values together then divide by the number of values you started with. So we add them together(2768+3001+2663+2471+2893+2803) and get 16599. Then, since there were 6 values we divide that by 6 and you get your answer.

Answer: 4*4= 16

Step-by-step explanation:

if Neha is 4 years older than her son, so she will be sixteen.

Answer:

Step-by-step explanation:

The amplitude is the difference between the peak value (3.8) and the midline (-3.8). You find it by subtracting the midline from the peak:

  amplitude = 3.8 -(-3.8)

  amplitude = 7.6

The resale value of the car after four years is $4820

The given parameters are:

initial value, a = $27,000

Rate, r = 35%

The value of the car each year is represented as:

Value = a *(1 - r)^t

So, we have:

Value = 27000 *(1 - 35%)^t

After four years, we have:

Value = 27000 *(1 - 35%)^4

Evaluate

Value = 4820

Hence, the resale value of the car after four years is $4820

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The heaviest 10% of fruits weigh more than 814.79 grams.

The problem setup implies that the weight of this fruit is a random variable when it says a particular fruit's weights are normally distributed.

Define X = Random Variable of the fruit's weight

\(X \sim N(mean = 760, standard deviation = 39)\)

We want to find the specific gram value for which 8% of the fruits are heavier

The 92nd percentile of X's normal distribution

\(Solve for x: Pr( X < x ) = Normal( 760, 39 ) CDF = .92\)

Standardizing we obtain

\(Pr( [X - 760]/39 < [x - 760]/39 ) = Pr( Z < [x - 760]/39 ) = .92,\)

where Z is a standard normal random variable

\(Pr( Z < [x - 760]/39 ) = Standard \ Normal \ CDF( [x - 760]/39 )\)

==> Set this equal to .92:

\(Standard \ Normal \ CDF( [x - 760]/39 ) = .92\)

Then, from the standard normal table:

\([x - 760]/39 = Inverse Standard Normal\)

\(CDF( .92 ) = 1.405\)

Use algebra to solve for x:

\(x = 39 * 1.405 + 760 = 814.795\)

Therefore the heaviest 10% of fruits weigh more than 814.79 grams.

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Answer:

True.

Step-by-step explanation:

As long as the vertex of the angle is at the center of curvature of the intercepted arc.

Answer:

5

Step-by-step explanation:

Pyramid

\(\textsf{volume of a square based pyramid} =\frac{1}{3} a^2h\)

(where \(a\) = base edge, and \(h\) = height)

Given:

\(\implies \textsf{volume} =\frac{1}{3} \times 9^2\times10=270 \ \mathsf{cm^3}\)

Wax cubes

volume of a cube = w³, where w is the length of one edge

⇒ volume = 4³ = 4 x 4 x 4 = 64 cm³

Solution

To calculate how many wax cubes are needed, divide the volume of the pyramid by the volume of a wax cube:

⇒ 270 ÷ 64 = 4.21875

⇒ 5 wax cubes are needed to make the candle

We need to round this up to 5, since we need to know the number of whole wax cubes.  (If we rounded down to 4, there would not be quite enough to fill the pyramid as 4 x 64 = 256 < 270)

Answer:

38m

Step-by-step explanation:

the top side is equal to

2 + 5 + 1 = 8

the perimeter:

9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38

If A and B are similar matrices and v is an eigenvector of A, then v is also an eigenvector of B , similarly if u is an eigenvector of B then u is also eigenvector of A.

Suppose A and B are n×n matrices over R or C. We say A and B are similar, or that A is similar to B, if there exists a matrix P such that B =P⁻¹AP.

The eigenvalues are the roots of the

characteristic polynomial.

B =P⁻¹AP ⇔ PBP⁻¹ = A

If Av = λv , then PBP⁻¹v = λv ⇒ BP⁻¹v = P⁻¹λv

So, if v is an eigenvector of A, with eigenvalue λ, then P⁻¹v (which is non-zero since P is invertible) is an eigenvector of B with the same eigenvalue. If u is an eigenvector for B then P⁻¹v is an eigenvector for A. So, every eigenvalue of A is an eigenvalue of B and since you can interchange the roles of A and B in the previous calculations, every eigenvalue of B is an eigenvalue of A too. Hence, A and B have the same eigenvalues.

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