Find the range of value of x for which: x-3/x+3>0

The value of surface area is,

SA = 570 cm²

Given that;

Base of house = 6 cm

And, Height of house = 19 cm

Since, The shape of house is like a prism.

We know that;

Area of Prism is,

SA = 2B + ph,

where B, stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.

Hence, We get;

SA = 2 × (1/2 x 6 × 19) + 2 (6 + 6) × 19

SA = 114 + 456

SA = 570 cm²

Hence, The value of surface area is,

SA = 570 cm²

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The expression for the flu cases in winter is W = S + 0.58S.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Let the total number of patients in winter be W and S be the number of patients treated for flu symptoms.

At Dr. Carrey's clinic, 58% more patients are treated for flu symptoms in the winter than in the summer.

So, the expression for the number of flu patients in winter is:

W = S + 58% of S

W = S + 0.58S

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Answer:

The balance in Mary's account at the end of the month is $14.09

Step-by-step explanation:

Step 1: 50+25.62=75.62

Step 2: 75.62+19.76=95.38

Step 3: 95.38-56.29=39.09

Step 4: 39.09-25= $14.09

Answer:

6.9

Step-by-step explanation:

Find mean: 26

Subtract each value from mean: 12, 3, -5, -3, -7

Square them: 144, 9, 25, 9, 46

Add together: 233

Divide by how many data points: 46.6

Find square root: 6.826

Answer:

Number of stamp Amanda has = 112

Step-by-step explanation:

Given:

Total number of stamp = 364

Number of stamp Lyle has = x

Number of stamp Shaquille has = [1/2]x

Number of stamp Amanda has = [2/3]x

Find:

Number of stamp Amanda has

Computation:

Total number of stamp = Number of stamp Lyle has + Number of stamp Shaquille has + Number of stamp Amanda has

Total number of stamp = x + [1/2]x + [2/3]x

364 = 13x / 6

x = 168

So,

Number of stamp Amanda has = [2/3]168

Number of stamp Amanda has = 112

Answer:

C.112

Step-by-step explanation:

edge 2020

Answer:

4

Step-by-step explanation:

The probability is 7/10 or 70% that a randomly selected student does not receive some form of government-sponsored financial aid

Total number of students in the small private college = 800

Number of students who receive some form of government-sponsored financial aid = 240

Number of students who did not receive government-sponsored financial aid = 800 - 240 = 560

Computing the probability using the formula, we get the following:

The probability that a randomly selected student did not receive government-sponsored financial aid = Number of students who did not receive financial aid/Total number of students in the college

= 560/800 = 7/10 or 70%

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Answer:

y = 14

Step-by-step explanation:

If the line is horizontal, it will always have the ssame value of y for all values of x.  Therefore, y = 14.

Answer:

0.875

Step-by-step explanation:

Answer:

0.875

Step-by-step explanation:

Answer:  See the image below.

Answer:

B. 13

Step-by-step explanation:

Let's solve your equation step-by-step.

7√x−4−6=15

Step 1: Add 6 to both sides.

7√x−4−6+6=15+6

7√x−4=21

Step 2: Divide both sides by 7.

7√x−4

7

=

21

7

√x−4=3

Step 3: Solve Square Root.

√x−4=3

x−4=32(Square both sides)

x−4=9

x−4+4=9+4(Add 4 to both sides)

x=13

Answer:

x = 13

Step-by-step explanation:

\(7 \sqrt{x - 4} = 15 + 6 \\ 7 \sqrt{x - 4} = 21 \\ \sqrt{x - 4 =} = 3 \\ x - 4 = 9 \\ x = 13\)

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.

According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.

Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

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Answer:

There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.

Step-by-step explanation:

We see that there is a correlation between the amount of bread and the amount of rice bought .

When the bread is bought the amount of rice drops and when the amount of bread is decreased the amount of rice increases.

There is no causation meaning there is no direct affect of buying more bread or rice.Buying of rice does not directly cause the purchase of bread.

Hence there is correlation but not causation.

Correlation and causation can occur at the same time when one event causes the other.

Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.

The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190

Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."

Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.

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For the given right triangle, L = 66°, LK = 3.56, and the hypotenuse, LM = 8.75.

A right triangle, right-angled triangle, or more formally an orthogonal triangle—previously known as a rectangled triangle—is a triangle with one angle that is a right angle (i.e., a 90-degree angle), meaning that two of its sides are perpendicular. The foundation of trigonometry is the relationship between the sides and other angles of a right triangle.

The hypotenuse is the side that faces the right angle (side c in the figure). Legs are the sides that are next to the right angle (or catheti, singular: cathetus). Side a can be thought of as the side that is adjacent to angle B and opposite to (or opposite) angle A, whereas side b is the side that is adjacent to angle A and opposite to angle B.

Given a right triangle with base = 8 and an angle = 24°

Using angle sum property of triangle

24 + 90 + angle L = 180

L = 66°

Using Sohcahtoa

Tangent: tan(θ) = Opposite / Adjacent

tan(24°) = LK/8

0.445 = LK/8

LH = 8 × 0.445

LK = 3.56

LM = \(\sqrt{MK^2 + LK^2}\)

LM = \(\sqrt{8^2 + 3.56^2}\)

LM = 8.75

Thus, For the given right triangle, L = 66°, LK = 3.56, and the hypotenuse, LM = 8.75.

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There is only one rectangle that satisfies the conditions of having the given nonadjacent vertices (4, 3) and (-4, -3) with integer coordinates for the other two vertices.

Let's consider the given vertices (4, 3) and (-4, -3) as the diagonal endpoints of the rectangle.

The other two vertices will lie on the perpendicular bisectors of this diagonal. Since we want the other two vertices to have integer coordinates, the midpoint of the diagonal must also have integer coordinates.

The midpoint of the diagonal can be found by taking the average of the x-coordinates and the average of the y-coordinates:

Midpoint: \($\left(\frac{4 + (-4)}{2}, \frac{3 + (-3)}{2}\right) = (0, 0)$\)

So, the midpoint of the diagonal is (0, 0).

Now we need to find the other two vertices that lie on the perpendicular bisectors passing through this midpoint.

The slope of the diagonal line is given by:

\($m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 3}{-4 - 4} = \frac{-6}{-8} = \frac{3}{4}$\)

The slope of the perpendicular bisector is the negative reciprocal of the diagonal slope:

\($m_{\text{perpendicular}} = -\frac{1}{m} = -\frac{4}{3}$\)

Now we can use the midpoint (0, 0) and the slope

\($m_{\text{perpendicular}} = -\frac{4}{3}$\)  to find the equations of the two perpendicular bisectors.

Equation of the first bisector:

\($y - 0 = -\frac{4}{3}(x - 0)$\)

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

For the first bisector, let's assume one vertex lies on the line \($y = -\frac{4}{3}x$\) with integer coordinates (a, b).

Now, since (a, b) lies on the bisector, the distance between (a, b) and the midpoint (0, 0) is equal to the distance between (a, b) and (4, 3).

Distance formula:

\($\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$\)

\($\sqrt{(0 - a)^2 + (0 - b)^2} = \sqrt{(4 - a)^2 + (3 - b)^2}$\)

Simplifying the equation, we get:

\($a^2 + b^2 = (4 - a)^2 + (3 - b)^2$\)

Expanding and simplifying further:

\($a^2 + b^2 = a^2 - 8a + 16 + b^2 - 6b + 9$\)

Simplifying again:

\($8a + 6b = 25$\)

Since a and b must be integers, we can analyze the possible values for a and b.

To have integer solutions for a and b, 8a + 6b must be a multiple of 25.

The possible values for 8a + 6b are:

\($0, 25, 50, 75, 100, \dots$\)

To satisfy the condition 8a + 6b = 25, there is only one solution: a = 2 and b = 3.

Therefore, there is only one rectangle that satisfies the given conditions.

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Let's solve this problem step-by-step:

   \(7 * 9 = (7*10)-(7*x)\)

We know (7*10) - (7*x) is equivalent to the 7*(10-x)

 ⇒ based on the Distributive Properties

                           \(a*(b+c) = ab + ac\)  

          \(7*(10+(-x))=(7*10)+(7*(-x)=(7*10)-(7*x)\)

 So:

   \(7*9=7(10-x)\\9=10-x\\x=10-9\\x= 1\)

Thus delta (the little triangle in this problem) in this case is 1

Answer: 1

Hope that helps!

Answer:

−x+y+7

Step-by-step explanation:

If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.

To determine if two triangles are similar, you need to check if their corresponding angles are congruent and their corresponding sides are proportional.

To state if the triangles in each pair are similar, follow these steps:

1. Identify the corresponding angles: Compare the angles of one triangle to the angles of the other triangle. If all the corresponding angles are congruent, then the triangles are similar.

2. Check for proportional sides: Compare the lengths of the corresponding sides of the two triangles. If the ratios of the corresponding sides are equal, then the triangles are similar.

3. If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.

For example, consider two triangles with angles A, B, and C, and sides a, b, and c. If you find that angle A of one triangle is congruent to angle A of the other triangle, angle B is congruent to angle B, and angle C is congruent to angle C, and the ratios a/b, b/c, and a/c are all equal, then you can conclude that the two triangles are similar.

Remember, similarity is not the same as congruence. Similar triangles have the same shape but can differ in size.

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Answer:

82(-x-5)=26

-82x-410=26

-410-26=82x

-436/82=x

x=-218/41

Events that have no outcomes in common  are said to be disjoint or mutually exclusive.

Two sets are known to be mutually exclusive when they have no common elements. Mutually exclusive events are those that cannot take place at the same moment.

If two events are considered disjoint events, then the probability of both events occurring at the same time will be zero.

Set A = {2, 4, 6, 8, 10, 12, 14, 16}

Set B = {1, 3, 5, 7, 9, 11, 13, 15}

A and B do not have any numbers in common, so P (A ∩ B) = 0. Therefore, A and B are mutually exclusive.

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9514 1404 393

Answer:

  150

Step-by-step explanation:

The increase is by the factor 5/3, so the increased number is ...

  90×(5/3) = 150

90 increased in the ratio 5 : 3 is 150.

Step-by-step explanation:

6,000,000-300=5,999,700

Answer:

5,999,700 millones

Step-by-step explanation:

Resta 6 ,millones a 300

0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

Using statistical software or a t-distribution table, we can find that the area to the left of 0.57 under the t-distribution with 17 degrees of freedom is approximately 0.7111.

To find the area to the right of 0.57, we need to subtract the area to the left of 0.57 from 1

Area to the right of 0.57 = 1 - 0.7111 = 0.2889

Rounding this to 4 decimal places gives us a final answer of 0.2889. Therefore, 0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.

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Thus, the smallest sample size that will guarantee a margin of error of at most 0.08 for  an estimate for an unknown population proportion pi is 600.

If we know the sample size, the success rate, or the number of successes, we can determine a confidence interval for the fraction of the population. There is a known error margin for the confidence interval.

The error with in random sampling is referred to as the margin of error. It serves to highlight the discrepancy between an estimated population parameter's value and its actual value.

Given data:

From the z-table attached, get the z value for the 95% confidence interval.

z - 1.96

Now,

smallest size of sample n = (z/E)²

n = (1.96/0.08)²

n = (24.5)²

n = 600.25

n = 600

Thus, the smallest sample size that will guarantee a margin of error of at most 0.08 for  an estimate for an unknown population proportion pi is 600.

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Answer:

Step-by-step explanation:

The dimensions of a rectangular prism are length, width, and depth.

Volume = length * width * depth

Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.

How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.

V = y(3y2 + 16y + 5)

Then, factor what's left.

V = y(3y + 1)(y + 5)

The dimensions of the prism are y, (3y + 1), and (y + 5).

Answer:

The dimensions of a rectangular prism are length, width, and depth.

Volume = length * width * depth

Here, V = 3y3 + 16y2 + 5y. If you can factor that into three terms, those could be the dimensions of the prism.

How do you factor it? Do all three terms have something in common? Sure, they all have a y, so factor a y out of each term.

V = y(3y2 + 16y + 5)

Then, factor what's left.

V = y(3y + 1)(y + 5)

The dimensions of the prism are y, (3y + 1), and (y + 5).

Step-by-step explanation:

it's this write ... comments plz have a nice day

Answer:

Josh is 26 Lynette is 23

Step-by-step explanation:

I subtracted 3 years from 49 that i got 46, next i split 23 years between them both, finally because josh is older i gave him the 3 years i took.

Josh's age is 26 years and Lynette's age is 23 years.

Since, Josh is 3 years older than Lynette.

Let us consider that Lynette's age is x years .

Then , Josh's age will be, \(= (x + 3 )\)

The sum of their ages is 49.

So,    \(x + x + 3 = 49\)

           \(2x = 49-3 = 46\)

          \(x = 46/2 = 23 years\)

Thus,  Lynette's age is, \(= x = 23 years\)

          Josh's age will be,\(= (x + 3 ) = 23 + 3 = 26 years.\)

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Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

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