3 (4x-2) = 12 x how many solutions are there

Answer:

x=66

Step-by-step explanation:

180-114=66

Interior angles on the same side of transversal are supplementary (180°).

So,

x + 114° = 180°

=> x = 180° - 114°

=> x = 66°

With the help of Chebyshev's theorem, the percentage of data between 5 to 45 is 89%.

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem.

Numerous other probability distributions can be applied to this theorem.

Chebyshev's Inequality is another name for Chebyshev's Theorem.

One of many theorems established by Russian mathematician Pafnuty Chebyshev is known as Chebyshev's theorem.

According to Bertrand's postulate, there is a prime between n and 2n for every n.

So, the percentage of data within 15 to 45 is:

In this instance, we're looking for numbers between 15 and 45.

Since 30 -3*5 = 20 and 30 + 3*5 = 45, we are therefore within 3 deviations of the mean. So, since k = 3, we can find the percent as follows:

% = (1 - 1/3²) × 100 = 88.88% = 89%

Therefore, with the help of Chebyshev's theorem, the percentage of data between 5 to 45 is 89%.

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Answer:

y=-6

Step-by-step explanation:

2(6)+y=6

12+y=6

-12 -12

y=-6

To find the probability of selecting a blue ball first and a yellow ball second (with replacement) from a box containing 3 red balls, 5 yellow balls, and 2 blue balls.

The probability of selecting a blue ball on the first draw is 2/10, as there are 2 blue balls out of a total of 10 balls in the box.

Since we are replacing the ball after each draw, the probability of selecting a yellow ball on the second draw is also 5/10, as there are still 5 yellow balls remaining in the box.

To find the probability of both events occurring, we multiply the probabilities together:

Probability of selecting a blue ball first = 2/10

Probability of selecting a yellow ball second = 5/10

Probability of both events occurring = (2/10) * (5/10) = 1/10

Therefore, the probability of selecting a blue ball first and a yellow ball second (with replacement) from the given box is 1/10.

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The following equations produces a direct variation : III.) f(x) = 3x. Hence, option a) III. only is the correct answer.

If f(x) varies directly with x, then it can be represented by the equation f(x) = kx, where k is a constant of proportionality. Therefore, to determine if an equation represents a direct variation, you need to determine if it can be written in this form of kx.

Now, let's examine each of them: I. f(x) = xyz: This equation is not in the form of kx. It has three variables: x, y, and z. Since we don't know how each variable relates to one another, we can't determine if it represents a direct variation.

II. f(x) = x³: This equation is not in the form of kx either. It has a variable x, but it's cubed. This means that f(x) does not vary directly with x.

III. f(x) = 3x: This equation can be written in the form of kx. If k = 3, then the equation becomes f(x) = 3x. This shows that f(x) varies directly with x.

Therefore, the correct answer is III only.

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Looking at the graph of g(x) (the red graph), we can see that it has the same format of f(x), but it is 9 units above it (f(x) passes through (0, -6) and g(x) passes through (0, 3)).

Therefore the graph of g(x) can be created using a translation of 9 units up from the graph of f(x).

That means we can write the following expression:

So the correct option is B.

Answer:

because 7*3*4 is 88 ft^3

2x + 17 grows no faster than 3x as x approaches infinity.

To show that 2x + 17 is O(3x), we need to find two positive constants, C and k, such that:

|2x + 17| <= C|3x| for all x > k

We can start by simplifying the left-hand side:

|2x + 17| = 2x + 17 (since x is always non-negative)

Next, we can simplify the right-hand side:

|3x| = 3x

Now, we need to find C and k that satisfy the inequality:

2x + 17 <= C*3x for all x > k

Dividing both sides by 3x, we get:

(2/3) + (17/3x) <= C for all x > k

Since (2/3) is a constant, we only need to find a value of k such that (17/3x) is less than some other constant. Let's choose k = 1, then:

(17/3x) < 6 for all x > 1

So, we can choose C = 6 and k = 1. Therefore, we have shown that:

|2x + 17| <= 6|3x| for all x > 1

This satisfies the definition of 2x + 17 being O(3x), which means that 2x + 17 grows no faster than 3x as x approaches infinity.

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Answer: 3 x 9.63 = 28.89

Hope this helps!

Answer:

28.89

Step-by-step explanation:

Product means Multiplication, so you just multiply 3 x 9.63, and that equals to 28.89.

Hope this works.

Answer:

its so blury can you take a screan shot then put it up

Step-by-step explanation:

take a screen shop please

Answer:

I think the integers are -19 and -20.

Step-by-step explanation:

Hope this helps!

Answer:

12+8*6

Step-by-step explanation:

The values of x and y the triangles to the fight congruent are x = 3 and

y = 1.

What is congruent triangles?

Triangles with the same size and shape are said to be congruent. This implies that the corresponding sides and angles are both equal. Without comparing every angle and side of the two triangles, we can determine whether two triangles are congruent.

If given these triangles are congruent then all corresponding side must be equal

As we can see that both triangle are right triangle

Therefore hypotenuse of one triangle equal to another

x+1  = 4y   ..... (A)

And lenght ( height)  of one  must equal to another triangle

x = y +2          .... (B)

therefore

Plug the value of x = y + 2 in equation A

y + 2 + 1 = 4y

        3y = 3

          y = 1

and x = y+2

x = 1 + 2

x = 3

Hence, the values of x and y the triangles to the fight congruent are

x = 3 and y = 1.

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Complete question:

Complete question is attached below.

Answer:

Power is the zero at the end of the number like this 56 small 0 at the top right

Step-by-step explanation: Its not just the zero its whatever number is divided by the power it cant go past 50

The correct step that involved in proving if x is a real number, then [x] [x] = 1 if x is not an Integer and [x] [x] = 0 if x is an Integer are:

a. If x is not an integer, then [x] is the integer just larger than x

b. If x is not an integer, then [x] is the integer just smaller than x

c. It is clear that if x is not an integer, then [x] and [] differ by 0.

d. It is clear that if x is not an integer, then [x] and [x] differ by 1.

e. If x is an integer, then [x] and [x] are equal, so [x-x=x-x=0. f. If x is an integer, then [x] and [x] are different, so [x] [x] = 0.

Since if x is not an integer, then [x] is the integer just smaller than x and [x] + 1 is the integer just larger than x.

Thus, we can write x as x = [x] + {x} where {x} is the fractional part of x.

[x] is an integer, {x} = x - [x].T

Now, we have [x] [x] = [x]([x]+{x}) = [x]^2 + [x]{x}.

Thus we can see that [x]^2 is an integer, and [x]{x} is a fraction, so it is between 0 and 1.

Hence, [x] [x] = 1 if x is not an Integer. If x is an Integer, then [x] and [x] are equal, so [x] [x] = 0.

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Answer:

35°

Step-by-step explanation:

x= 180°-145° = 35°

______

Based on the relationship between the number of orders served by Mary, Joe, and Deandre, the number of orders they each served was:

Assuming that the number of orders served by Mary was x, the formula for the total orders served would be:

Deandre's orders + Mary's orders + Joe's orders = 95
3x + x + (x - 10) = 95

Solving for Mary's orders gives:

3x + x + x - 10 = 95

5x - 10 = 95

5x = 95 + 10

x = 105 / 5

x = 21

Number of orders by Deandre:

= 21 x 3

= 63 orders

Orders by Joe:

= 21 - 10

= 11 orders

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Answer:

p + q + r is 12.

Step-by-step explanation:

Prime factors of a number is the expression of the number in terms of the product of its factors that are prime numbers only.

The prime factor of 686 = 2 x 7 x 7 x 7. Which can be expressed in the form;

p × \(q^{r}\) as 2 × \(7^{3}\).

So that, p = 2, q = 7 and r = 3.

p + q + r = 2 + 7  + 3

              = 12

Therefore, the sum of p, q, and r is 12.

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

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Answer:

A

Step-by-step explanation:

Answer:

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

Perimeter is the sum of side lengths.

Given sides:

Find the perimeter by adding up side lengths:

If 600 pounds of the material are initially put into the vault, then 252.3784 pounds will be left after 100 years.

The given function is

A=A(0)e ^{−0.00866x}

, where x is the number of years since the material was put into the vault.

If 600 pounds of the material are initially put into the vault, then we have to find how many pounds will be left after 100 years.

The function is A=A(0)e ^{−0.00866x}.

where A(0) is initial material in pounds i.e. A(0)=600 and x is the number of years i.e. x=100. So

A = 600*e ^{−0.00866*100}

A = 600*e ^{−0.866}

A = 600*0.4206

A = 252.3784

Hence, if 600 pounds of the material are initially put into the vault, then 252.3784 pounds will be left after 100 years.

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The right question is:

Solve the problem. The function

A=A(0)e ^{−0.00866x}

models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 600 pounds of the material are initially put into the vault, how many pounds will be left after 100 years?

Given a series [infinity] 13n10n=1. Since f(x) = 13x10 is continuous, positive and decreasing on [1, [infinity]), we have to determine whether the series converges or diverges.

We know that for a decreasing series an, the integral test states that if the integral ∫f(x)dx from 1 to [infinity] converges, then the series also converges. Let's consider the integral ∫f(x)dx from 1 to [infinity]. ∫f(x)dx = ∫13x10dx from 1 to [infinity] ,
= [13/110] [x11] from 1 to [infinity] = [13/110] lim x-> [infinity] x11 - [13/110] (1) = [13/110] [infinity] - [13/110]
Therefore, ∫f(x)dx diverges since the limit does not exist and the integral has an infinite value.

Hence, by the integral test, we can conclude that the series [infinity] 13n10n=1 diverges. Hence, the answer is, The given series [infinity] 13n10n=1 diverges.

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(a) To find the probability that at least two children have blue eyes, given that at least one child has blue eyes, we need to consider the possible combinations of blue-eyed children in the family of 3 children.

Let's break it down step by step:

1. Find the total number of possible outcomes when 3 children are considered. Each child can have either blue eyes (B) or non-blue eyes (N). So, the total number of outcomes is 2^3 = 8.

2. Now, let's determine the outcomes where at least one child has blue eyes. This can be achieved by finding the outcomes where no child has non-blue eyes (NNN) and subtracting it from the total number of outcomes.

  The outcomes where no child has non-blue eyes are NNN, NNB, NBN, and BNN (4 outcomes).

  So, the number of outcomes where at least one child has blue eyes is 8 - 4 = 4.

3. Next, we need to find the outcomes where at least two children have blue eyes. These outcomes can be BBB, BBN, BNB, and NBB (4 outcomes).

4. Finally, we calculate the probability by dividing the number of outcomes where at least two children have blue eyes by the number of outcomes where at least one child has blue eyes.

  Probability = Number of outcomes where at least two children have blue eyes / Number of outcomes where at least one child has blue eyes

  Probability = 4 / 4 = 1

Therefore, the probability that at least two children have blue eyes, given that at least one child has blue eyes, is 1.

(b) To find the probability that at least two children have blue eyes, given that the youngest child has blue eyes, we can follow a similar approach as in part (a).

1. Find the total number of possible outcomes when 3 children are considered. Each child can have either blue eyes (B) or non-blue eyes (N). So, the total number of outcomes is 2^3 = 8.

2. Since we know that the youngest child has blue eyes, we only need to consider the outcomes where the youngest child has blue eyes (BNB, BBB) and subtract it from the total number of outcomes.

  The outcomes where the youngest child has blue eyes are BNB and BBB (2 outcomes).

  So, the number of outcomes where at least one child has blue eyes is 8 - 2 = 6.

3. Next, we need to find the outcomes where at least two children have blue eyes. These outcomes can be BBB and BNB (2 outcomes).

4. Finally, we calculate the probability by dividing the number of outcomes where at least two children have blue eyes by the number of outcomes where at least one child has blue eyes.

  Probability = Number of outcomes where at least two children have blue eyes / Number of outcomes where at least one child has blue eyes

  Probability = 2 / 6 = 1/3

Therefore, the probability that at least two children have blue eyes, given that the youngest child has blue eyes, is 1/3.

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Answer:

  3. ∛200 = ∛20∛10 = ∛8∛25

  4. √72 = √3√24 = √36√2

  5. ∛200 = 2∛25

  6. √72 = 6√2

Step-by-step explanation:

You want the radicals ∛200 and √72 each written in two different forms, one of which simplifies to the product of an integer and a radical. Then you want to see that simplified product.

One of the rules of exponents is that a power of a product is the product of the powers:

  (ab)^c = (a^c)(b^c)

A radical is equivalent to a fractional exponent.

  \(\sqrt[n]{a}=a^{\frac{1}{n}}\\\\\sqrt{a}=a^{\frac{1}{2}}\)

Combining these, we get ...

  \(\sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\)

  \(\sqrt[3]{200}=\sqrt[3]{20}\sqrt[3]{10}\\\\\sqrt[3]{200}=\sqrt[3]{8}\sqrt[3]{25}\)

  \(\sqrt{72}=\sqrt{3}\sqrt{24}\\\\\sqrt{72}=\sqrt{36}\sqrt{2}\)

  \(\sqrt[3]{200}=\boxed{2\sqrt[3]{25}}\)

  \(\sqrt{72}=\boxed{6\sqrt{2}}\)

1.

b = -3

2.

a = 39

3.

b = -3

13.

w = 16

14.

m = 45

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Answer:

The order is (-10,-1,0,1,10)

Answer:

-10 -1 0 1 10

Step-by-step explanation:

as -10 is smaller than -1 is because the negative numbers keep getting smaller as they progress for example 1 and 10 which is bigger it is ofc 10 but I negative numbers its quite the opposite hope this helps

Answer:

D

Step-by-step explanation:

Answer:

it is not 3.

l think correct answer is 2 .

Step-by-step explanation:

(y-b+a):m