100 + 2x = 140 + 6x

Answer:

X, 3, 1

Step-by-step explanation:

hello again.

Answer:

y=3/2x-4

Step-by-step explanation:

y=3/2x+b

-1=3/2(2)+b

-1=3+b

-4=b

y=3/2x-4

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

(Attached Below)

Step-by-step explanation:

Answer:

x \(\geq\) 3

Step-by-step explanation:

8x - 6 \(\geq\)  12 + 2x

First, take the smallest value of x away from the largest.

6x - 6 \(\geq\) 12

Then, add 6 on both sides. (Always do the opposite!)

6x \(\geq\) 18

Finally, divide by 6

x \(\geq\) 3

The measure of angle QVR is 24°

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Since angle UWT and QVR are on indirectly opposite to each other , they will be equal.

This means that UWT = QVR

= 3x+12 = x+20

collecting like terms;

3x-x = 20-12

2x = 8

divide both sides by 2

x = 8/2

x = 4

angle QVR = x+20

therefore QVR = 4+20

= 24°

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The range of the given function g(x) is - 4 ≤ g(x) < 9.

        \(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)

Given is a graph of the figure as shown in the image.

The range of the given function g(x) is the set of all possible {y} values.

We can write the range of the function as -

- 4 ≤ g(x) < 9

Therefore, the range of the given function g(x) is - 4 ≤ g(x) < 9.

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To recap, as long as the sampling size is large enough, the distribution of the means will be essentially normal. This discovery is most likely the most important result offered in beginning statistics courses. It is known technically as the Theorem of Central Limits.

When we use sample means to establish inferences about a population mean, we will repeatedly rely on the Central Limit Theorem. We now know that we can do it even if the population distribution is not regular.

How large a sample size do we need to assume that group means will be normally distributed? As we showed in the simulation, it all depends on the population demographics. The general rule

Generally, samples of size 30 or higher will have a fairly normal distribution, regardless of the shape of the variable's distribution in the population.

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The distribution is normal, with an expected value of 90 and a standard error of 4.

The distribution of sample means for samples of n = 64 selected from a population with a mean of μ = 90 and a standard deviation of σ = 32 is as follows:
1. Shape: The distribution will be approximately normal due to the Central Limit Theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases.
2. Expected Value: The expected value of the sample means is equal to the population mean, which is μ = 90.
3. Standard Error: The standard error (SE) is calculated by dividing the population standard deviation (σ) by the square root of the sample size (n). In this case, SE = σ / √n = 32 / √64 = 32 / 8 = 4.
So, the distribution is approximately normal, with an expected value of 90 and a standard error of 4.

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Answer:

See attachment

Step-by-step explanation:

See attachment

The number of brown notebooks is 40.

What is the ratio?

A ratio displays the multiplicity of two numbers. For example, if there are eight oranges and six lemons in a bowl of fruit, the orange-to-lemon ratio is eight to six. Similarly, the lemon-to-orange ratio is 6:8, and the orange-to-fruit ratio is 8:14.

We have,

24 red notebooks,

∴ 5/3 = x/24.

Cross-multiply, and we now have

120 = 3x.

Divide both sides by 3,

x = 120/3

x = 40

x = 40 brown notebooks.

Hence, the number of brown notebooks is 40.

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Answer:

28.26 inches

Step-by-step explanation:

Given

diameter (d) = 9 inches

circumference (c)

= π d

= 3.14 * 9

= 28.26 inches

Answer:

Lily has 7 Quarters and 10 Dimes

Step-by-step explanation:

Let's use pennies instead of $.

Let D and Q stand for the numbers of Dimes and Quarters, respectively.

We are told that there are 17 coins total:

  D + Q = 17

We also learn that they amount to 275 (pennies).  We can write that as:

10D + 25Q = 275  [Each D is worth 10 pennies, etc.]

We have two equations and two unknowns.  We can rearrange one equation to find the value of either of the unknowns, and then use that it the second equation.

I'll rearrange the first:  

 D + Q = 17

  D = 17 - Q

Now use this value of D in the second equation:

10D + 25Q = 275

10(17-Q) + 25Q = 275

170 - 10Q + 25 Q = 275

15Q = 105

Q = 7  :  7 Quarters.

Since D + Q = 17:

D + 7 = 17

D = 10 Dimes

==========================================

Let's check these results:

Q = 7 Quarters

D = 10 Dimes

1.  Is this 17 coins in total?  (7+10 = 17)  YES

2.  Does this add to $2.75?  (10*10) + (7*25) = 275 cents?

 (100 + 176) = 275 (cents)   YES

============================

Lily has 7 Quarters and 10 Dimes

Answer:

-7/2y

Step-by-step explanation:

cancel out the Z's than youre left with -7/2y :}

129 degrees is the correct answer for the missing angle number 1 :)

(a)

In order to graph y = 2f(x), we just need to use the values of y two times higher than the values of y = f(x), that is, a vertical stretch. So we have:

(In black: y = 2f(x), in red: y = f(x))

(b)

In order to graph y = g(2x), we just need to use half the values of x from y = g(x), that is, a horizontal compression. So we have:

(in green: y = g(2x), in blue: y = g(x))

Answer:

sorry man

Step-by-step explanation:

The derivative of f(x) = (x-1)^2 * sin(x) at x = 0 is 0.

The derivative of y = e^x * ln(sin(x)) is e^x * (ln(sin(x)) + cot(x)).

The value of the limit as e approaches negative infinity of e^-x is 0.

To find the derivative of f(x) = (x-1)^2 * sin(x), we can use the product rule. Applying the product rule, the derivative of f(x) is given by f'(x) = 2(x-1) * sin(x) + (x-1)^2 * cos(x). Substituting x = 0 into the derivative expression, we have f'(0) = 2(0-1) * sin(0) + (0-1)^2 * cos(0) = 0.

To find the derivative of y = e^x * ln(sin(x)), we can apply the product rule and the chain rule. Using the product rule, the derivative of y is given by y' = e^x * ln(sin(x)) + e^x * (ln(sin(x)))' = e^x * ln(sin(x)) + e^x * (ln(sin(x)) + cot(x)).

The limit of e^-x as e approaches negative infinity can be evaluated by substituting e = -∞ into the expression e^-x. Since e^(-∞) approaches 0 as e approaches negative infinity, the value of the limit is 0.

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Answer:

mad ebe cause we want money and space

Step-by-step explanation:

Answer: According to my calculations the answer is 10.5 hours

Step-by-step explanation:

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8 percentage of the buttons were large. The solution has been obtained using arithmetic operations.

What are arithmetic operations?

There are four fundamental operations that all real numbers in mathematics must comprehend:

1. Adding the numbers together to get their total (with a "+").

2. Using the "-" sign to subtract two numbers yields the difference between the values.

3. Multiplication('×') is used to create the numbers' product.

4. The division('÷') procedure, which determines the numbers' quotient.

We are given that Victoria bought a bag of mixed buttons and she got 12 large buttons and 138 small buttons.

So, the total number of buttons = 138 + 12 = 150

Out of 150, she got 12 large buttons.

So, percentage of large buttons = 12*100/150 = 8%

Hence, 8 percentage of the buttons were large.

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Answer:

That is 6 divided by 3/8, better written as

6

--

1

====

3

--

8

Invert the 3/8 and then multiply:

6      8

-- *   ---

1       3

Reduce 6/3:  6/3 = 2

Then you have 2(8), or 16 (answer)

Answer:

There are 16 3/8's  in 6

Step-by-step explanation:

6/1 divided by 3/8

Invert the 3/8 and then multiply

6/1 times 8/3

Reduce 6/3:  6/3 = 2

answer: 16

Answer:

See below ~

Step-by-step explanation:

Change in x :

Change in y :

Scale factor :

The circles are similar because you can translate Circle 1 using the transformation rule (x - 4 , y - 10) and then dilate it using a scale factor of 0.5.

The combination p AND (NOT q) is true when p is true and q is false, and false otherwise.

The statement "p AND (NOT q)" means that both p is true and q is false.

When p is true ("The pond is not frozen over") and q is true ("The fish are not jumping"), then (NOT q) is false, so the combination p AND (NOT q) is false.

When p is true and q is false ("The fish are jumping"), then (NOT q) is true, so the combination p AND (NOT q) is true.

When p is false ("The pond is frozen over"), then the combination p AND (NOT q) is false regardless of the truth value of q.

Therefore, the combination p AND (NOT q) is true when p is true and q is false, and false otherwise.

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Debbie can buy a maximum of 4 t-shirts with the remaining $38 after purchasing the $22 jeans.

To determine the greatest number of t-shirts Debbie can buy, we need to find out how much money she will have left after purchasing the pair of jeans. Debbie has $60 to spend and the jeans cost $22. Therefore, she will have $60 - $22 = $38 left to spend on t-shirts.

Each t-shirt costs $8, so we divide the remaining amount by the cost per t-shirt: $38 / $8 = 4.75.

Since Debbie cannot buy a fraction of a t-shirt, we round down the decimal value to the nearest whole number. Therefore, Debbie can buy a maximum of 4 t-shirts with the remaining $38.

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Translating 5 units right and 8 units down means you add 5 to the x coordinate and subtract 8 from the y coordinate.

\(W(-10,8) \longrightarrow W'(-5, 0) \\ \\ X(-2, -1) \longrightarrow X'(3, -9) \\ \\ Y(0,0) \longrightarrow Y'(5,-8) \\ \\ Z(3,7) \longrightarrow Z'(8, -1)\)

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We know that Chebyshev's theorem states that for a large class of distributions, no more than 1/k² of the distribution will be k standard deviations away from the mean.

This means that 1 - 1/k² of the distribution will be within k standard deviations from the mean.

Lets k = 1.8, the amount of the distribution that is within 1.8 standard deviations from the mean is;

1 - 1/1.8² = 0.6914

= 69.14%

Hence, Chebyshev's theorem says that for any set of observations, the proportion of values that lie within k standard deviations of the mean is  1 - 1/k².

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This triangle has  \(\textbf{1 obtuse angle and 2 acute angles}.\) A triangle is a polygon with three sides and three angles. The sum of the angles in any triangle is always 180 degrees.

In the given options, a triangle with 1 acute angle and 2 right angles is not possible because the sum of two right angles is already 180 degrees, leaving no room for an acute angle. A triangle with 2 acute angles and 1 right angle is also not possible because the sum of two acute angles is less than 180 degrees.

Similarly, a triangle with 2 obtuse angles and 1 acute angle is not possible as the sum of two obtuse angles exceeds 180 degrees. Therefore, the only valid option is a triangle with 1 obtuse angle and 2 acute angles.

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