Prove that segment ST is parallel to segment RQ then x=12

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

Answer:

The class width of this grouped frequency distribution (GFDT) = 5.

The total width of the distribution = 25, that is, from 60 to 84.

Step-by-step explanation:

The class width of a GFDT (grouped frequency distribution) is obtained by dividing the range by the number of classes required and then rounding up.

Note that rounding up is different from rounding off as 4.2 is rounded up to 5 and rounded off to 4.

The class width is the span of each of the class in the grouped frequency distribution.

For this distribution,

Maximum value = 84

Minimum value = 60

Range = (Maximum value) - (Minimum value) = 84 - 60 = 24

Number of classes required = 5

Class width = (24/5) = 4.8 = 5 (rounded up).

The total width of the distribution is given as

Total width = Range + 1 = 24 + 1 = 25.

Hope this Helps!!!

Answer:

To solve a geometric shape, you need to know its properties such as the number of sides, angles, and other measurements that are relevant to the particular shape. Here are some steps to solve a geometric shape:

1. Identify the shape: Determine the name of the shape, such as a square, circle, triangle, or rectangle.

2. Determine the properties: Find out the properties of the shape based on its name. For example, a square has four equal sides and four right angles.

3. Measure the dimensions: Measure the dimensions of the shape such as the length of the sides, the diameter, or the radius.

4. Use formulas: Use the appropriate formulas to calculate missing measurements such as the area or perimeter of the shape.

5. Check your work: Finally, check your work to ensure that all calculations and measurements are correct.

Remember that the solution to a geometric shape problem will depend on the specific properties and measurements of that shape.

Answer:

  m = 20

Step-by-step explanation:

You want the value of m when (4m +10)° represents an angle of 90°.

The perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...

  (4m +10)° = 90°

Dividing by ° and subtracting 10 gives ...

  4m +10 = 90

  4m = 80

  m = 20 . . . . . . divide by 4

The value of m is 20.

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According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Answer:

The answers are B and D.

Step-by-step explanation:

Here's why .... 5/6 times 13 will give you Less than 13 and so will 3/4 times 13 But D is equal to 13 and B is more than 13 and the question asks for the value to be greater OR equal to.

Answer:

Divide 12 by -6

The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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The type of sytudy that we have here is the observational study.

In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.

In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.

The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.

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Answer:

Step-by-step explanation:

Remember that the sides of a 30-60-90 triangle are in the ratio 1:√3:2

Since the horizontal leg is half the hypotenuse, it must be a 30-60-90 triangle, and x° = 30°

Answer:

  7 : 13

Step-by-step explanation:

If 35% of people have high blood pressure, you want the odds in favor of a randomly chosen person having high blood pressure.

The odds ratio is the ratio of favorable to unfavorable outcomes:

  high blood pressure : not high blood pressure = 35% : 65% = 7 : 13

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

6/1

Step-by-step explanation:

Equal to 6

use the numerator

Using long division for the integration, the final answer is (1/3)x³ + x² + 3x + 5 ln |x³ - x² + x - 1| + C, where C is the constant of integration.

To integrate the given expression using long division, we need to divide the numerator, 3x³ + 1, by the denominator, x³ - x² + x - 1, to obtain a quotient that we can integrate.

First, let's perform the long division:

   x² + 2x + 3

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

x³ - x² + x - 1 | 3x³ + 0x² + 0x + 1

   3x³ - 3x² + 3x - 3

   ------------------

          3x² + 2x - 2

          3x² - 3x + 3

          -----------

                  5x - 5

Therefore, we can rewrite the original integral as:

∫[(3x³ + 1) / (x³ - x² + x - 1)] dx = ∫[x² + 2x + 3 + (5x - 5) / (x³ - x² + x - 1)] dx

The first term, x² + 2x + 3, can be integrated easily. For the second term, we can use partial fraction decomposition or substitute u = x³ - x² + x - 1 to obtain:

∫[(5x - 5) / (x³ - x² + x - 1)] dx = 5∫[du / u] = 5 ln |u| + C

= 5 ln |x³ - x² + x - 1| + C

Putting everything together, we get:

∫[(3x³ + 1) / (x³ - x² + x - 1)] dx = ∫[x² + 2x + 3 + (5x - 5) / (x³ - x² + x - 1)] dx

= ∫[x² + 2x + 3] dx + 5 ln |x³ - x² + x - 1| + C

= (1/3)x³ + x² + 3x + 5 ln |x³ - x² + x - 1| + C

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Answer: I believe it is C.

Step-by-step explanation: Because if you take 4 x 20 = 80

If  I am wrong sorry.

Answer: Hello i am here to anwser your 2 part queston! <3

Step-by-step explanation:

the linear functon is  Y= -2.5x+170

after 5 weeks he will have lost 157.5 lbs!!

The linear function in the form y = mx + b to model Jose's weight loss each week is → y = - 2.5x + 170.

Given is that Jose weighed himself on Monday and he weighed 170 pounds. Two weeks later he weighed 165 pounds.

The linear function is given by → y = ax + b. We can write the slope -

{a} = (165 - 170)/(2 - 0)

{a} = - 5/ 2

{a} = - 2.5

The linear function will become -

y = -2.5x + b

At [x] = 0, the value of [y] is 170.

So, the linear function can be written as -

y = - 2.5x + 170

Therefore, the linear function in the form y = mx + b to model Jose's weight loss each week is → y = - 2.5x + 170.

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Answer:

the answer should be 200

Answer:

1)10 months 2) 40 cm 3)8in

Step-by-step explanation:

1)1year =12 months

5/6year=?months

cross multiply

5x2=10

------

6x2=12

answer 12months

2)100cm in a meter

100divided by 5=20

1/5=20cm

2/5=40cm

answer:40 cm

3)12in in a foot

12divided by 3=4

1/3=4in

2/3=8 in

answer=8 in

thats all the time I have for now bye

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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The probability that a household personal computer is used for entertainment between 1.8 and 2.75 hours per day is approximately 0.5448, or 54.48%.

To find the probability that a household personal computer is used for entertainment between 1.8 and 2.75 hours per day, we will use the normal distribution with a mean (µ) of 2 hours and a standard deviation (σ) of 0.5 hours.

Follow these steps:
1. Convert the given hours to z-scores:
  For 1.8 hours: z1 = (1.8 - µ) / σ

= (1.8 - 2) / 0.5

= -0.4
  For 2.75 hours: z2 = (2.75 - µ) / σ = (2.75 - 2) / 0.5 = 1.5
2. Use Desmos to find the probabilities corresponding to the z-scores:
  In Desmos, type: normalCDF(-0.4, 1.5, 0, 1)
  This will give you the probability between z1 and z2.
3. The result is approximately 0.5448.

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Answer:

C. -11

Step-by-step explanation:

f(x) = -2x - 5

Plug the 3 in for x

f(3) = -2(3) - 5

Multiply the -2 and 3

f(3) = -6 - 5

Subtract 5 from -6

f(3) = -11

Answer: C -11

Step-by-step explanation:

Its asking you to solve for f(x) which is Y

Y=-2x-5

X is 3

so replace -2x with 3 but only the x

you should get -23 not negative 23 its more of 2 times 3

then multiply -2 by 3 and get -6

add -6 and -5 to get -11

The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

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Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

Answer:

1) y=x-4

2)y=x+2

Step-by-step explanation:

You can see on the first one y is just 4 less than x

You can see that the second one (graph) has a slope. As by the points, if you increase x by 0.5 you increase y by one.

Thus, y=x+2

Hope this helped! I can't see much of the question :)

The prime factorization of 45 written as exponents from least to greatest is 45 = 3² × 5¹

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, which includes 1 and the number.

Using prime factorisation, we shall consider the first five prime numbers which are; 2, 3, 5, 7, and 11.

45 cannot be divided by 2 without a remainder so we use 3;

45/3 = 15

15 can also be divided by 3 so;

15/3 = 5

3 cannot divide 5 without a remainder so we use 5;

5/5 = 1

hence;

45 = 3 × 3 × 5

45 = 3² × 5¹

Therefore, the prime factorization of 45 written as exponents from least to greatest is 45 = 3² × 5¹

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Answer:

\(y=\frac{3}{4}x -0.25\)

Hope This Helps! :)

Answer:

Revenue: $46

Profit: $6

B. 70

I took the test on Edge 2022

el hombre tenía 50 acciones.

La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,

se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,

podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.

Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.

Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.

Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.

Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,

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