solve the inequality
6 ( x/2 + 4) > 9

Answer:

D is the one:)

'21' 1/7's are there in 3 bananas.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Number of bananas paula had = 3

She wants to divide each of them into 1/7 sections.

= 3 ÷ \(\frac{1}{7}\)

= \(\frac{3}{\frac{1}{7} }\)

= 3 × 7

= 21

Hence, '21' 1/7's are there in 3 bananas.

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Calculating the obtuse angle or value of a triangle.

Finding obtuse angle value:

steps:

1)  Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.

2)  Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.

3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.

4)  Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.

5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.

The obtuse angle value is obtained by inverse of cos:

cos^-1(-0.3125)

= 108.209 degrees.

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A trending quantity is a number that is generally increasing or decreasing. When the numbers are steadily decreasing, we have a downward trend, and when the numbers are steadily increasing, we have an upward trend.

On our problem, we have a population growth/decline starting at 2004 until 2009. If we analyze the years individually, it is not perfectly clear if the ternd is downward or upward, however, analyzing the whole table it is possible to see that we have an upward trend. If we compare two distinct points not consecutive of our table, the point closer to 2009 will present a bigger population for most points in our table, which shows a rise on the population value as the years goes by. To see it properly the ideal would be to plot the points and check the slope of the trend line.

Answer:

x = -3

Step-by-step explanation:

Here, this is a vertical line

What this mean here is that the x-value remains constant irrespective of the y value

For all the y values, we have a single x-value

so what this mean is to simply locate the x-axis. value and equate it to x

We have this as;

x = -3

It has proved that the equation \(e^{(x)} * (dy/dx) = y * e^{(x)} * (dy/dx)\) is linear and the equation \((dy/dx) + x^2 * e^{(x)} * y = e^{(x)}\) is not linear.

The equation \(e^{(x)} * (dy/dx) = y * e^{(x)} * (dy/dx)\) is linear because it can be written in the standard form of a linear first-order ordinary differential equation, which is:
dy/dx + P(x) * y = Q(x)

In this case, we can divide both sides of the equation by \(e^{(x)}\) to obtain:
dy/dx = y * (dy/dx)

Now, we can compare this to the standard form and observe that P(x) = 0 and Q(x) = y * (dy/dx).

Since the equation is in the standard form, it is linear.

On the other hand, the equation \((dy/dx) + x^2 * e^{(x)} * y = e^{(x)}\) is not linear.

While it may seem similar to the standard linear form, the presence of the \(x^2 * e^{(x)} * y\) term is what makes it non-linear.

In a linear equation, the term involving y should be of the form P(x) * y, where P(x) is a function of x only.

However, in this case, the term \(x^2 * e^{(x)} * y\) involves both x and y, making the equation non-linear.

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Answer:

60 seconds greater

Step-by-step explanation:

1 = 60

2 = 120

3 = 180

4 = 240

5 = 300

6 = 360

Answer:

If x represents the no. of adults

and y represents the children, then

x + y = 550

9x + 3.50y = 3575

Answer:

Step-by-step explanation:

Number of children = y

Number of adults = x

Total people = 550

x + y = 550 ------------------ (I)

Charge for 'y' children =3.50 * y = 3.5y

Charge for 'x' adult = 9 * x = 9x

Total amount = $ 3575

9x  + 3.5y = 3575 -------------(II)

Multiply equation (I) by (-9)

(I)*(-9)  -9x - 9y = -4950  

(II)         9x  + 3.5y = 3575  { Now add and so 'x' will be eliminated}

                  - 5.5y   =  -1375

y = -1375/-5.5

y = 250

Plug in y = 250 in equation (I)

x + 250 = 550

            x = 550 - 250

            x = 300

Number of children = 250

Number of adults = 300

Answer:

1. Answer: F = P123,514.09

Step-by-step explanation:

1. Peter started to deposit P5,000 quarterly in a fund that pays 1% compounded quarterly. How much will be in

the fund after 6 years?

1. Answer: F = P123,514.09

The fund after six years is 123,514.09.

Given that,

Based on the above information, the calculation is as follows:

Given that,

PV = 5,000

PMT = 0

NPER = 24

RATE = 0.25%

The formula is

=-FV(RATE,NPER,PMT,PV,TYPE)

After applying the above formula, the future value be 123,514.09.

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Answer:

-2 on a number line would be; -2, -1, 0, 1, 2

Step-by-step explanation:

Also, the absolute value is 2 due to the fact that it is only 2 numbers away from 0 on both sides.

ANS: 2

Hope this helped! :)

Answer:

a b. c=19 it is equal to 19

Answer:

20.3854

Step-by-step explanation:

Answer:

Step-by-step explanation:

For the volume, it would be length times width times height, and it is a cube, so they are all the same, meaning it would be 6*6*6. That is equal to 216 cm3, which is the answer for the first one. The total area, meaning surface area, would be found by finding the area of one side, which is 6*6, which is 36, and then multiplying by the number of sides, because it is a square, cube. The surface area is also 216 cm2.

1) 216 cm3 (cm^3)

2) 216 cm2 (cm^2)

If the observed t-value exceeds the critical t-value, then the difference between the sample means is most likely statistically significant.

In other words, the difference between the sample means is unlikely to have occurred by chance and is likely due to a real difference in the population means. The direction and magnitude of the difference must be further examined using effect size measures and confidence intervals.

Therefore, the most suitable value to be fit in the blank space of the given incomplete statement is, statistically significant.

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Answer:

\(\huge\boxed{\sf x = -100}\)

Step-by-step explanation:

\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)

The value of \(f_X(0.5)\) is 0.75, given the uniform joint PDF of the random variables X and Y, \(f_{X,Y} (x,y)=3\), on the set {(x,y)|0≤x≤1, 0≤y≤1, y≤x²}.

We to find the value of \(f_X(0.5)\) given the uniform joint PDF of the random variables X and Y, \(f_{X,Y} (x,y)=3\), on the set {(x,y)|0≤x≤1, 0≤y≤1, y≤x²}.

To find \(f_X(0.5)\), we need to compute the marginal PDF of X by integrating the joint PDF over the range of Y.

First, determine the range of Y.
Since y ≤ x², and we're given x = 0.5, the range of Y is 0 ≤ y ≤ (0.5)² = 0.25.

Integrate the joint PDF over the range of Y.
\(\begin{aligned}f_X(x) & =\int_{y=0}^{y=0.25} f_{X, Y}(x, y) d y \\& =\int_{y=0}^{y=0.25} 3 d y \\& =[3 y]_{y=0}^{y=0.25} \\\end{aligned}\)

Substitute the given joint PDF.
fx(0.5) = 3(0.25) - 3(0) = 0.75.

So, the value of \(f_X(0.5)\) is 0.75.

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Answer:

90 degrees.

Step-by-step explanation:

They right ray point is on the 90 degree number and left ray is on zero so we find the difference.

90-0=90

so it measures 90 degrees.

Answer:

<ba=180 <bc=90

Step-by-step explanation:

Answer: I cant see it

Step-by-step explanation:

Using the properties of permutation and combination we can calculate that there are possible 3 ,4 ,5 ,6 or 8 people in the group.

A permutation of a set is, broadly speaking, a rearranging of its elements if the set is already ordered, or arranging its members into a sequence or linear order.

There are 2 to 10 people in the group.

Lets us consider there are 3 people. Ticket price = 240 / 3= $80

Lets us consider there are 4 people. Ticket price = 240 / 4= $60

Lets us consider there are 5 people. Ticket price = 240 / 5= $48

Lets us consider there are 6 people. Ticket price = 240 / 6= $40

Lets us consider there are 8 people. Ticket price = 240 / 3= $30

Hence from the properties of permutation and combination we can see that there could be 3 ,4,5,6 or 8 people.

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Answer:

number 2? ok it's 43

Step-by-step explanation:

hope this is helpful! have an amazing day :) God Bless you

The nearest whole number after rounding is, 14

Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.

To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.

If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.

If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.

For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.

Given that,

The decimal number  13.5,

after using rules of rounding,

it can be rounded as 14

Hence, the nearest whole number is 14

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Answer:

The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \(\frac{1}{5}\).

Step-by-step explanation:

We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one  as the treasurer of the remaining 8 members.

We want harry to be as either as secretary or as treasurer. so we will consider both the cases

Probability is given by = No of favorable outcomes/ Total no of outcomes

(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer

  As president = \(\frac{1}{10}\)

  Not as president = \(1 - \frac{1}{10}\) = \(\frac{9}{10}\)

Now he is selected for the secretary so he can't be selected as treasurer.

Not as treasurer = 1

Probability for chosen as secretary = \(\frac{9}{10}*\frac{1}{9}*1\)  = \(\frac{1}{10}\)  

(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.

Probability for not chosen as president = \(\frac{9}{10}\)

Probability for not chosen as secretary =  \(1-\frac{1}{9} = \frac{8}{9}\)

Probability to be chosen as treasurer = \(\frac{1}{8}\)

Probability to be chosen as Treasurer = \(\frac{9}{10}*\frac{8}{9}*\frac{1}{8}\) = \(\frac{1}{10}\)

Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)

           = \(\frac{1}{10} +\frac{1}{10} = \frac{1}{5}\)

Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \(\frac{1}{5}\).

The length of AB cannot be determined with only the information given. To find AB, we need additional information such as the length of BC or the angle between AB and AC.

Answer:

This problem is unsolvable because their is no form of "b" so not enough info.

The Expression that has a value of 4 more than u is given by, 4 + u

An expression is a collection of numbers, symbols, and operators that illustrate the value of something. A mathematical expression with variables, numbers, and operations is called an algebraic expression. This expression's value is flexible.

The required expression has a value of 4 more than u.
So, the operation used here is addition
∴ The expression that has a value 4 more than u is given by, 4 + u

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Answer:

Step-by-step explanation:

i cant help sorry but it mite be 6

K2/3 = 12Hence, K = (12)3/2 = 20.784 Profit maximizing value of K is 20.784.

Given the production function, (K, L) = 12K1/3L1/2 - 4K – 1, where K > 0,1 ≤ 20, L = π. We need to find the profit-maximizing level of K.

Profit maximization occurs where Marginal Revenue Product (MRP) is equal to the Marginal Factor Cost (MFC).To determine the optimal value of K, we will derive the expressions for MRP and MFC.

Marginal Revenue Product (MRP) is the additional revenue generated by employing an additional unit of input (labor) holding all other factors constant. MRP = ∂Q/∂L * MR where, ∂Q/∂L is the marginal physical product of labor (MPPL)MR is the marginal revenue earned from the sale of output.

MRP = (∂/∂L) (12K1/3L1/2) * MRLMPPL = 6K1/3L-1/2MR = P = 10Therefore, MRP = 6K1/3L1/2 * 10 = 60K1/3L1/2The Marginal Factor Cost (MFC) is the additional cost incurred due to the use of one additional unit of the input (labor) holding all other factors constant.

MFC = Wages = 5 Profit maximization occurs where MRP = MFC.60K1/3L1/2 = 5K1/3Multiplying both sides by K-1/3L-1/2, we get;60 = 5K2/3L-1Therefore,K2/3 = 12Hence, K = (12)3/2 = 20.784Profit maximizing value of K is 20.784.

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Answer:

1. A 2.C 3.D 4.B 5. A PORK-U-PINE

Step-by-step explanation:

a^2+b^2=c^2

Answer:

16

Step-by-step explanation:

16

Descriptive statistics summarize numbers and inferential statistics determine whether the results are significant.

What is statistics?

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

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Based on the histogram, it seems that the percentage of men with cholesterol levels above 220 is around 15%. To calculate this, we can look at the total area of the bars to the right of 220 and divide it by the total area of the entire histogram.

To be more specific, we can count the number of bars to the right of 220, which is 3. Each of these bars has a width of 5 and a height (frequency) of 4, 6, and 2 respectively. So the total area of these bars is 5 x (4 + 6 + 2) = 60.

The total area of the entire histogram is 5 x 20 = 100. Therefore, the percentage of men with cholesterol levels above 220 is (60/100) x 100 = 60%.

So the answer is not provided in the answer choices, but it would be closest to 60% based on the given histogram.
The histogram displays the distribution of serum cholesterol levels in milligrams per deciliter (mg/dL) for a sample of men. To determine the percentage of men with cholesterol levels above 220 mg/dL, you should examine the histogram and identify the relevant bars that represent cholesterol levels above 220 mg/dL. Then, calculate the number of men in these bars and divide it by the total number of men in the sample, and finally multiply the result by 100 to obtain the percentage.

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