Please answer this question asap.

Answer:

The correct answer is C. x = 50.

Step-by-step explanation:

To solve for x, we need to isolate it on one side of the equation. To do this, we first need to add 7 to both sides to cancel out the -7 on the left side. We then need to divide both sides by 3/5. This gives us x = 50.

Is there anything else I can help you with?

The sample space for rolling a fair eight-sided die is

Sample space is a term that refers to the number of possible outcome in a probability event. In other words this refers to all the numbers that will possibly show up in an event.

In this case, which involve rolling of a eight sided die, the die will have face numbered as 1, 2, 3, 4, 5, 6, 7, 8.

The numbers of the face represents the possible outcomes and this helps us to see that the last option being S = {1, 2, 3, 4, 5, 6, 7, 8} will be a better choice.

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Karma can buy 1000 shares of T-Bank.

When something is "invested," money or other resources are used with the intention of making a profit, creating income, or appreciating in value over time.

The price of a share at a 25% premium is calculated as follows:

100 + (25/100) * 100 = 125.

Thus, Karma can purchase the following items for Nu 125,000:

125000 / 125 = 1000

So, Karma can buy 1000 shares of T-Bank.

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Answer:

Please mark me the brainliest

Step-by-step explanation:

Yes, 3√5 + 2√5 can be simplified to a rational number.

To simplify, we can combine the terms that have the same radical expression (in this case, √5). This gives:

3√5 + 2√5 = (3 + 2)√5 = 5√5

So 3√5 + 2√5 is equal to 5√5. While 5√5 is not a rational number, it can be simplified further by rationalizing the denominator. We can do this by multiplying both the numerator and denominator by √5:

5√5 = 5√5 x √5/√5 = 5√25/√5 = 5(5)/√5 = 25/√5

Now we have a rational number, 25/√5, which can be further simplified by multiplying the numerator and denominator by √5:

25/√5 = 25/√5 x √5/√5 = 25√5/5 = 5√5

Therefore, 3√5 + 2√5 simplifies to 5√5, which can be further simplified to 5√5 or 5 times the square root of 5. Although the final result is not a rational number, the expression itself can be simplified to a rational number.

Answer: the expression itself can be simplified to a rational number.

Step-by-step explanation:

56 - 22 can be rewritten using the Distributive Property and the GCF of the numbers as 2 * 17.

GCF stands for Greatest Common Factor. In mathematics, the GCF is the largest positive integer that divides two or more integers without leaving a remainder. It is also known as the greatest common divisor (GCD), highest common factor (HCF), or greatest common measure (GCM). To rewrite 56 - 22 using the Distributive Property and the GCF of the numbers, we first need to find the greatest common factor (GCF) of 56 and 22. The GCF of 56 and 22 is 2.
Using the Distributive Property, we can write:
56 - 22 = 2 * 28 - 2 * 11
Now, we can factor out the GCF of 2: 56 - 22 = 2 * (28 - 11)
Simplifying the expression inside the parentheses, we get:
56 - 22 = 2 * 17
Therefore, 56 - 22 can be rewritten using the Distributive Property and the GCF of the numbers as 2 * 17 = 34.

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Answer:

1/2(6*6)+3/2(6*4)

2*36 +72/2

144/2 =72

Answer:

1.5 cups

Step-by-step explanation:

We Know

Milan drank 12 fluid ounces of juice.

How much is this in cups?

Let'solve

1 ounce = 0.125 cup

12 ounces = 0.125 x 12 = 1.5 cups

So, Milan drank 1.5 cups of juice.

Answer:

The cover should be at least 4 meters in diameter to cover the entire circular pool.

Step-by-step explanation:

To determine the size of the cover, we need to calculate the diameter of the pool, which is twice the radius.

Diameter = 2 x radius = 2 x 2 m = 4 m

Answer: A=12.56 m²

Step-by-step explanation:

Given:

r=2

Reasoning:

To cover a pool you need area.  How large is the pool area.

Solution:

Formula for Area for a circle

A=[tex]\pi r^{2}[/tex]         substitute r=2

A=[tex]\pi (2^{2} )[/tex]      use 3.14 for pi

A=3.14(2²)      2²=4

A=3.14(4)        multiply

A=12.56 m²

Answer:

The percent change can be calculated as:

percent change = (new value - old value) / old value x 100%

Using the given values, we get:

percent change = (10 - 18) / 18 x 100%

percent change = -8 / 18 x 100%

percent change = -44.44%

Therefore, the percent change from 2010 to 2011 is -44.44%, which represents a decrease of 44.44%

Step-by-step explanation:

gg

Formulated theorem is for any positive integer n,

If n is a multiple of 3, then second player will win in game of taking stones from a heap described above else first player will win.

Total 3 base cases are required.

Proof of the theorem by mathematical induction,

Base case,

For n = 1, the first player must take the only stone and wins.

For n = 2, the first player can take two stones and wins.

For n = 3, the first player can take one stone and leave the second player with two stones, ensuring the second player will lose.

The base cases are true.

Inductive step,

Assume that the theorem is true for all positive integers k ≤ n.

Show that the theorem is true for n+1.

If n+1 is not a multiple of 3, then the first player can take one or two stones to reduce the heap size to a multiple of 3.

Second player will then be in position of having to take last stone from a heap of size that is a multiple of 3 and so will lose.

The first player can always force a win when n+1 is not a multiple of 3.

If n+1 is a multiple of 3, then regardless of how many stones the first player takes.

The second player can always leave the first player with a heap of size that is not a multiple of 3 on their turn.

By the assumption of the theorem,

This means that the second player can force a win.

This implies, the second player can always win when n+1 is a multiple of 3.

Since the inductive step assumes that the theorem is true for all positive integers up to n.

Therefore, the theorem is true for all positive integers n and  needed to prove the base cases for n = 1, 2, and 3.

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Answer:

Step-by-step explanation: x-axis interception points of 8−2x:    (4, 0)

y−axis interception point of 8−2x:    (0, 8)

1. (x - 3)(x + y + z) = x² + xy + xz - 3x - 3y - 3z. This product is not a sum or difference of two cubes. 2. (3x - 4y)(2x - 3y - 4) = 6x² - 17xy + 12y² + 4y. This product is not a sum or difference of two cubes.

An equation in mathematics is a claim made regarding the equality of two expressions. It comprises of two expressions that express the same value or amount and are joined by an equal sign. The objective is to solve for the unknown value by modifying the equation in accordance with predetermined rules and principles when one side of the equation is typically unknown. From straightforward arithmetic operations to intricate differential equation systems, equations are used to model and solve a wide range of issues in many branches of mathematics, science, and engineering.

1. (x - 3)(x + y + z) = x² + xy + xz - 3x - 3y - 3z. This product is not a sum or difference of two cubes.

2. (3x - 4y)(2x - 3y - 4) = 6x² - 17xy + 12y² + 4y. This product is not a sum or difference of two cubes.

3. (6x + 3)(x - y + 4) = 6x² - 15xy + 18x + 3y - 12. This product is not a sum or difference of two cubes.

4. (x² - 2)(x² + 3x - 1) = x⁴ + 3x³ - x² - 6x - 2. This product is a difference of two cubes: x^6 - 2^3.

5. (x - 3)(3x + 1) (4x (2)) = 12x⁴ - 32x³ - 9x² + 27x. This product is not a sum or difference of two cubes.

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The conditional relative frequency of having more than one dog given there is a flea infestation is equal to 0.464.

The conditional relative frequency of having more than one dog with the condition there is a flea infestation.

Use the formula,

P(more than one dog | flea infestation)

= P(more than one dog and flea infestation) / P(flea infestation)

Looking at the two-way relative frequency table.

The probability of having more than one dog and a flea infestation is 0.032.

And the probability of a flea infestation regardless of the number of dogs is 0.069.

The conditional relative frequency is,

P(more than one dog | flea infestation)

= 0.032 / 0.069

= 0.464 (rounded to the nearest thousandths place)

Therefore, the conditional relative frequency representing there is more than one dog along with there is a flea infestation is 0.464.

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The above question is incomplete , the complete question is:

attached question.

Answer:

A 3x+2

Step-by-step explanation:

2(3x-1)-3x+4

  6x-2-3x+4

   3x+2

Answer:

Step-by-step explanation:

3x+2

The interval of x-values over which the function is increasing is (-2, 1).

We have,

To determine the interval of x-values over which the function is increasing, we need to look for where the function values are increasing as the input values increase.

In other words,

We need to find where the slope of the function is positive.

Using the table,

We can see that the function values are decreasing over the intervals

(-6, -5), (-5, -4), (-4, -3), (-3, -2), (-2, -1), (0, 1).

Therefore, the function is not increasing over any of these intervals.

However,

Between x = -2 and x = 1, the function values are increasing.

Therefore,

The interval of x-values over which the function is increasing is (-2, 1).

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Step-by-step explanation:

Step 1: 11 lies between two perfect squares 9 and 16.

Step 2: Since 32=9 and 42=16 , so the square root of 11 will lie between 3 and 4.

Hopefully this answers your question! :)

Matches the given total of the boxes.

what is  variables?

In mathematics, a variable is a symbol or letter that represents a value that can change or vary. Variables are commonly used in algebraic expressions and equations to denote unknown values that need to be determined, or to represent values that can change in a given situation.

For example, in the equation y = 2x + 3, x is a variable that can represent any number, and y is the value that results from multiplying x by 2, adding 3, and solving for y. In this case, x can be any number, so it is a variable.

Let's start by assigning variables to represent the weight of a large box and a small box. Let L be the weight of a large box and S be the weight of a small box.

From the problem statement, we know that the combined weight of a large box and a small box is 70 pounds. So we can write:

L + S = 70

total weigh

We also know that the truck is transporting 50 large boxes and 60 small boxes, for a total of 110 boxes. Let's call the number of large boxes "x" and the number of small boxes "y". We know that:

x + y = 110

Finally, we know that the total weight of the boxes is 3750 pounds. We can use this information to set up another equation involving L and S:

50L + 60S = 3750

Now we have three equations:

L + S = 70

x + y = 110

50L + 60S = 3750

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for L in terms of S:

L = 70 - S

We can substitute this expression for L into the third equation:

50(70 - S) + 60S = 3750

Simplifying and solving for S, we get:

S = 35

So a small box weighs 35 pounds. We can substitute this value into the equation L + S = 70 to solve for L:

L + 35 = 70

L = 35

So a large box also weighs 35 pounds.

Therefore, a large box and a small box together weigh 70 pounds, and a large box and a small box each weigh 35 pounds. The truck is transporting 50 large boxes and 60 small boxes, for a total weight of:

50(35) + 60(35) = 1750 + 2100 = 3750

which matches the given total weight of the boxes.

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Answer:

a. The London population data cannot be accurately modeled by a linear function because the population growth is not constant over time. A quadratic function may be able to fit the data, but it is unlikely to accurately model the population growth in the long term. An exponential function is a more suitable choice because it can model exponential population growth, which is common in real-world scenarios.

b. Using a logistic growth equation, we can determine if the London population data can be accurately modeled by a logistic equation. We can use a regression analysis to find the values of a, b, and c that best fit the data, and then compare the predicted values to the actual population data to determine the accuracy of the model.

c. The logistic growth equation P(t) = 1 / (a + be^(-b(t-c))) produces an S-shaped curve, which represents the growth of a population that is initially slow, then accelerates, and finally levels off as it approaches a carrying capacity. The value of a represents the initial population size, b represents the growth rate, and c represents the time at which the population growth rate is highest. As a increases, the curve shifts upwards, indicating a larger initial population size. As b increases, the curve becomes steeper, indicating faster population growth. As c increases, the curve shifts to the right, indicating a later time at which the population growth rate is highest.

In summary, the critical value for a hypothesis test with an alpha value of 0.01 will be larger than that for an alpha value of 0.05, because the more stringent alpha level requires stronger evidence to reject the null hypothesis.

The critical value for a hypothesis test is determined by the level of significance, which is typically denoted by alpha (α). An alpha level of 0.05 means that the hypothesis test has a 5% probability of rejecting the null hypothesis when it is actually true. An alpha level of 0.01 means that the hypothesis test has a 1% probability of rejecting the null hypothesis when it is actually true.

The critical value is the threshold value beyond which the test statistic is considered to be significant. As the alpha level decreases, the critical value increases. This is because a smaller alpha level implies a greater level of confidence in the test results, and therefore a more stringent threshold for declaring statistical significance.

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To solve this problem, we can use the formula for the potential energy stored in the spring:
U = 1/2 k x^2
where U is the potential energy stored in the spring, k is the spring constant, and x is the displacement of the spring from its natural length.
From the given information, we can set up two equations:
6J = 1/2 k (0.02)^2
10J = 1/2 k (0.02)^2 + 1/2 k (0.02)^2
Simplifying the equations, we get:
6J = 0.0002 k
10J = 0.0004 k
Dividing the second equation by the first, we get:
10J/6J = 0.0004 k/0.0002 k
Simplifying, we get:
5/3 = 2
This is not possible, so there must be an error in the problem. Therefore, we cannot determine the natural length of the spring with the given information.

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The surface area of the cylinder will be 588.75 square inches. Then the correct option is B.

Given that:

Diameter, d = 15 inches

Height, h = 5 inches

The radius of the circle is calculated as,

r = d / 2

r = 15 / 2

r = 7.5

Let r be the radius and h be the height of the cylinder. Then the surface area of the cylinder will be given as,

SA = 2 x 3.14 x 7.5 (5 + 7.5)

SA = 47.1 x 12.5

SA = 588.75 square inches

The surface area of the cylinder will be 588.75 square inches. Then the correct option is B.

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False. In a hypothesis test for a mean, if the p-value is 0.13 and the level of significance (α) is 0.05, we fail to reject the null hypothesis.

When conducting a hypothesis test, the p-value is compared to the level of significance (a) to determine whether or not to reject the null hypothesis. The null hypothesis is typically the hypothesis that there is no significant difference between two groups or variables.

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The angle of rotation about O that maps IJ to RF is 120 degrees.

A hexagon is a polygon with six sides and six angles. It is a two-dimensional geometric shape that can be formed by connecting six straight line segments, where each segment intersects two others to form the six corners or vertices of the shape.

To find the angle of rotation about O that maps IJ to RF, we can follow these steps:

Note that IJ and RF are opposite sides of the regular hexagon, and since the hexagon is regular, they have the same length.

Since the hexagon is regular, we know that the angle between adjacent sides is 120 degrees.

Therefore, the angle between IJ and one of the dashed line segments must be 60 degrees (since it is the supplement of the 120 degree angle).

Let x be the angle of rotation about O that maps IJ to RF.

After the rotation, the angle between IJ and the dashed line segments will be x + 30 degrees (since the dashed line segments form 30 degree angles).

Similarly, the angle between RF and the dashed line segments will also be x + 30 degrees after the rotation.

Since IJ and RF are opposite sides of the regular hexagon, they form a 60 degree angle.

Therefore, we have the equation:

[tex]2(x + 30) + 60 = 360[/tex]

The left-hand side of the equation represents the sum of the angles around O after the rotation. The factor of 2 comes from the fact that each of the dashed line segments contributes to the angle twice.

Simplifying the equation, we get:

[tex]2x + 120 = 360[/tex]

[tex]2x = 240[/tex]

[tex]x = 120[/tex]

Therefore, the angle of rotation about O that maps IJ to RF is 120 degrees.

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Answer: 9430000

Step-by-step explanation: Take the first set of parentheses and simplify:

10^4 = 10000

because there are 4 zeros, move the decimal point to the right 4 times to 2.3

=23000

Then, take the second set of parentheses:

10^2 = 100

move the decimal in 4.1 to the right two times because there are 2 zeros:

=410

Then, you are left with 23000*410

multiply:

9430000

Answer:

(2)(1/2)(5)(12) + 9(5) + 9(12) + 9(13)

= 60 + 45 + 108 + 117

= 330 square inches

The circle graph's five transportation parts should be labelled as follows: walk 40%, bicycle 8%, car service 15%, bus 10%, and underground 27%. answer is option (a).

The percentage of visitors for each mode of transportation should be displayed in the appropriate circle graph for the given data. By dividing the total number of visitors by the sum of visitors and multiplying the result by 100, we can get the percentage.

Count of all visits = 80 + 16 + 30 + 20 + 54

                             = 200

percentage of each category of visitor:

Walk: 80/200 × 100% = 40%

Bicycle: 16/200 × 100% = 8%

Car service: 30/200 × 100% = 15%

Bus: 20/200 × 100% = 10%

Subway: 54/200 × 100% = 27%

The information in the table is appropriately represented by the circle graph below:

Consequently, the appropriate circle graph should include five portions with the labels "walk 40%," "bike 8%," "car service 15%," "bus 10%," and "subway 27%."

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Circle graph attached below,

Answer:

.

Step-by-step explanation:

Answer:

(6 times x)+2

Step-by-step explanation:

that's how you write it. have a good day :)

Answer: 2/1 = 2

Step-by-step explanation:

Kai can make two bowls because he has two pounds of clay. EAch bowl takes one pound of clay.