Find the value of x in each case

The probability of getting hearts or face cards is 25/52.

We know that, Probability of an event = Number of favorable outcomes/Total number of outcomes.

Total number of outcomes = 52 cards

Number of hearts = 13

Number of face cards = 12

Probability getting hearts = 13/52

Probability getting face cards = 12/52

P(Hearts or Face card) = 13/52 + 12/52

= 25/52

Therefore, the probability of getting hearts or face cards is 25/52.

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Transformation involves changing the position and the size of a shape

The congruence transformation to use is translation

From the question, we understand that:

She wants the flowers to look the same

To do this, she has to translate the image of a pattern of flower from one position to another

Hence, the congruence transformation to use is translation

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Answer:

43046721/4096

m4n4

Step-by-step explanation:

Answer:  -2

Step-by-step explanation:

4y/4 = -8/4

     y = -2

Answer:

Step-by-step explanation:

Answer is -2

The comparison test applies, so the improper integral converges because the integrand\((e^(-x^2))\) is smaller than the comparison function (x^-2)

The comparison test is applied to determine the convergence of an improper integral. To use the comparison test, a comparison function is found that is greater than or equal to the integrand, or a comparison function is found that is less than or equal to the integrand. In this case, the comparison function x^-2 is greater than the integrand e^(-x^2). The comparison function is then integrated to find its value and compare it to the integral of the integrand. Since the integral of the comparison function x^-2 is finite, while the integral of the integrand e^(-x^2) is infinite, the comparison test concludes that the improper integral converges.The integral of the comparison function x^-2 is equal to 1/x. Since the integral from 0 to infinity of 1/x is finite (equal to 1), the comparison test shows that the improper integral ∫0∞ e^(-x^2) dx converges.

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The standard form of the equation of the line passing through (8,-3) that is parallel to the line 3y=4x+8 is 4x - 3y = 41

The equation of the line in standard form can be represented as follows:

Ax + By = C

where

Therefore, the standard form of the equation of the line through (8,-3) that is parallel to the line 3y = 4x + 8 is a s follows;

Parallel lines have the same slope.

Hence,

3y = 4x + 8

y = 4  / 3 x + 8 / 3

The slope of the line is 4 / 3. Hence, the line passes through (8, -3). let's find the y-intercept.

y = 4 / 3 x + b

-3 = 4 / 3 (8) + b

b = -3 - 32 / 3

b =  -9 - 32/ 3

b = -41 / 3

Hence,

y = 4 / 3 x - 41 / 3

multiply through by 3

3y = 4x - 41

Therefore, the standard form is 4x - 3y = 41

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Answer:

Below.

Step-by-step explanation:

20 divided by 3.

Because there are 3 cats and 20 ounces of cat food so.

20/3= 6.666667 Ounces of food for each cat.

Answer:

According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

What is the right angle triangle property?

In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.

Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.

The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.

Re-draw, the  Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.

In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.

The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,

Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

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8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾

because, when you are adding 3/4

8 times, you are 3/4 plus itself,

eight times,

so you are doing 3/4*8

The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Answer:

y=-2x+12

Step-by-step explanation:

Count how much the y raises for each x through division for the slop, and then plug that in to the x on either one of the pairs to get the number, and then add or subtract whatever the actual y is to get the y intercept.

There are 180 degrees in a triangle

4. 38+38= 76 degrees

180-76=104

Isosceles, Obtuse

5. 65+ x+x=65

Well we know one of the x

It is 90 degrees because it is a right angle

65+90=155

180-155=25

Scalene, Right triangle

6. 71+45= 116

180-116=64

7.  Scalene, acute

8. 126+22=148

180-148=32

Scalene, Obtuse

9. 50+90=140

180-140=40

Right angle,  Scalene

Please let me know if i got anything wrong

(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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The equation that expresses y in terms of x is y = x - 2.

To find an equation that expresses y in terms of x, we need to determine the relationship between the two variables. One way to do this is by finding the slope of the line that passes through the given points.

Using the two points (40, 38) and (70, 68), we can find the slope as:

slope = (change in y) / (change in x)

slope = (68 - 38) / (70 - 40)

slope = 30 / 30

slope = 1

This means that for every increase of 1 in x, y also increases by 1.

We can now use the point-slope form of a linear equation to find the equation of the line passing through these points:

y - 38 = 1(x - 40)

Simplifying:

y = x - 2

Therefore, the equation that expresses y in terms of x is y = x - 2.

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Answer:

20 +2x+1=7, hope this is the answer

Answer:

here is your answer

Step-by-step explanation:

cross multiplication

divide

Answer:

walks dogs for 3 hours on Saturday and 4 hours on

Sunday. She calculates her total pay to be $57.75.

Which equation could be used to check the reasonableness of her total?

Step-by-step explanation: concept

Answer: Multipulcation

Step-by-step explanation:

The reason why is because you would first need to calculate how much she is owed [8.25 x 3 +(8.25 x 4)]

Answer:

At the end of the 100th turn, you have 90 plates placed normally.

Step-by-step explanation:

Not sure if there is a formula to calculate this.  I plugged the data into a spreadsheet and created formulas to turn every plate, every 2nd plate, every 3rd, .... to every 100th plate.

The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

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Step-by-step explanation:

f(1) = 3×1 - 1 = 2

f(4) = 3×4 - 1 = 12-1 = 11

so, the functional value changes 11-2=9 units on an x interval of 4-1=3 units length.

the average change rate is the total change across the x interval relative to the interval length.

that is

9/3 = 3

which is the slope (= the factor of x) in the line equation.

for a line its change rate for any point is the same constant. and that is therefore automatically also the average change rate across an interval of x values.

if the change rate would be different for different parts of the function, it would not be a straight line.

Answer:

3

Step-by-step explanation:

The average rate of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [ 1, 4 ] , then

f(b) = f(4) = 3(4) - 1 = 12 - 1 = 11

f(a) = f(1) = 3(1) - 1 = 3 - 1 = 2

average rate of change = \(\frac{11-2}{4-1}\) = \(\frac{9}{3}\) = 3

Jenny is paying $334.82 per year on credit card interest.

We need to find his annual interest payment which is:

= $1100 * 2% * 12 month

= $264

So, we have an annual interest payment of $264

We must account for interest that accumulates on the interest itself. To calculate this, we can use the formula: A = P (1 + r/n)^(nt) when P is $264, r is 24%, n is 12 and t is 1.

A = $264 * (1 + 0.24/12)^(12*1)

A = $264 * 1.26824179456

A = $334.815833764

A = $334.82.

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The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.

The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.

In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.

The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.

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Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

Answer:

You should be able to figure this out from the explanation below.

Step-by-step explanation:

When two lines cuts across each other they form.what we call.vertically opposite angles so from the figure above, we can say:

Look at the diagram below for more understanding of the concept.

Answer: 77 degrees

Step-by-step explanation:

Use Theorem "measure of the angle is the average of the measures of the arc

(a=b+c/2)

a=x

b=76

c=78

Set up your equation, X=76+78/2

=77

Hope this heeelps~!!

-Michiko

Answer:

345 cm squared I believe

I'm not 100% sure

Answer:

$2,499

Step-by-step explanation:

3200 - (178 + 203 + 320)

3200 - 701

2499

Grant will have $2,499 after paying these bills each month

Answer:  2,499

Step-by-step explanation:  Subtract expenditures from earnings...

3,200-178-203-320=2,499

so he makes 3,200 and spends 701 each month leaving 2,499

Answer:

The mean birth weight for the sampling distribution is

3,500 grams.

Step-by-step explanation:

The sample mean is the average of the sample values collected divided by the number of the samples, while the population mean is the average or mean of all the values in the population.  If the sample is random and the sample size is large enough, then the sample mean would be a good estimator of the population mean.  This implies that with a randomly distributed and unbiased sample size, the sample mean and population mean will be equal, according to the central limit theorem. Therefore, the mean of the sample means will always approximate the population mean.

Answer:

-0.656168ft

Step-by-step explanation:

If Spring force constant (k)  is 125  N/m

And the force is (F) 25 N ,

then the spring displacement (Δx) -0.656168

Equation used:

Knowing Hooke's law, we can write it down it the form of a formula:

F = -kΔx

F is the spring force (in N);

k is the spring constant (in N/m); and

Δx is the displacement (positive for elongation and negative for compression, in m).