A business executive bought 40 stamps for $14.40 the purchase included 39cent stamps and 24cent stamps how many of each type of stamps how many of each type of stamps were bought show 3 steps identify the veritable set up an equation and solve and write a conclusion

The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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Step-by-step explanation:

x likes teenagers, running, swimming , trees , jeeps and beef.

Answer:

Step-by-step explanation:

\( \sf{\frac{14jk}{21j} }\)

Reduce the fraction with j

Similarly, Reduce the fraction with 7

⇒\( \sf{ \frac{2k}{3} }\)

Hope I helped!

Best regards!!

Answer:

D

Step-by-step explanation:

When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"

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The answer to the expression 120% (_____) 1 is:
120% > 1. See the explanation related to the percentage problem below.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. It is frequently indicated by the percent symbol, "%."

To overcome the above problem, we must transform the two numbers into the same form.

Because adding zeroes to the ending of a decimal does not modify the value, we know that 1 = 1.00.

To convert a decimal to a percentage, multiply it by 100 and add a percent sign.

1.00 * 100 = 100%

Hence, 1 = 100%

Because 120% is greater than 100%, it is right, therefore, to state that:

120% > 1

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The solution of the equation 2(x + 1) = 6(x – 1), is the value of x = 2.

To solve an equation means to find what the value of the variable of the equation would be that would make the equation true if the value of the variable is plugged into the equation.

The necessary steps taken to find the value of x in the equation, 2(x + 1) = 6(x – 1) are explained below:

2(x + 1) = 6(x – 1) [given]

Apply the distributive property

2x + 2 = 6x - 6

Combine like terms

2x - 6x = -2 - 6

-4x = -8

Divide both sides by -4

-4x/-4 = -8/-4

x = 2

The value of x is 2. To check the solution, plug in the value of x back into the equation:

2(2 + 1) = 6(2 – 1)

2(3) = 6(1)

6 = 6 [true]

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Answer:

8x² - 14x - 15

Step-by-step explanation:

(4x + 3)(2x - 5)

8x² - 20x + 6x - 15

8x² - 14x - 15

Answer:

Step-by-step explanation:

Use FOIL, first outside inside last.

4x*2x - 5*4x + 3*2x - 3*5

\(8x^2-20x+6x-15\\8x^2-14x-15\\\)

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Answer:

See image

Step-by-step explanation:

If you put the 8 in for y, then all of a sudden, hurray there's enough info to keep going. It is an isosceles triangle which means two sides are the same. That also means that the two angles opposite the two equal sides are also equal. That's how we know the unmarked angle is also 4x

"Triangle Angle Sum" means to use the fact that all the angles in a triangle added up equals 180°. So add up all the angles, set equal to 180 and solve. To find the angle measures just pop in the x=18 to calculate. See image.

Answer:

Step-by-step explanation:

a)

As per diagram DF = EF, substitute values to solve for y:

b)

Angles D and E marked as equal, the sum of interior angles is:

Substitute to get:

c)

Solve for x:

d)

Angle F is 2x:

e)

Angle D is 4x:

The conjecture we can make about the intersections of planes is; If two planes intersect, it means that they can't intersect at more than one line.

We are told that two parallel planes Q and R are intersected by Plane X. Now, Intersecting planes are planes that are not parallel, and they always intersect in a line. The two planes cannot therefore intersect at more than one line.

Now, we can conclude that the conjecture we can make about the intersections of planes Q and X and Planes R and Q is that;

If two planes intersect, then it means that they cannot intersect at more than one line.

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Answer:

Step-by-step explanation:

Arithmetic sequence:

\(\boxed{a_n =a + (n-1)*d)}\)

a₅ = 10    a + 4d = 10

a₆ = 8     a + 5d = 8

Multiply the equation (I) by (-1) and then add. 'a' will be eliminated and we can find the value of 'd'

(I)*(-1)     -a - 4d = -10

(II)          a + 5d = 8     {Now add}

                     d = -2

Substitute d = -2 in equation (I)

 a + 4*(-2) = 10

 a -  8       = 10

           a   = 10 + 8

a =  18

a = 18 , d = -2

Sequence:  18 ,16 , 14 , 12 , 10 , ......

A function can be a one to one or a many to one function. For a one to one function, there is only one value of y for one value of x. For a many to one function, there are many avlues of x to one value of y. If a value of x has more than one value of y, then it is not a function

looking at the given tables,

The function is the first option because there is only one value of x for a value of y

x y

2 2

3 3

4 4

5 5

6 6

The vertex of point Z should be plotted at the location of the intersection of points W and Y for the rectangle WXYZ.

Given that the point W, X, and Y illustrate three vertices of rectangle WXYZ.

Using the properties of a rectangle to find the location of point Z,

As we know that a rectangle has two pairs of parallel sides, four right angles, and opposite sides that are congruent.

So, to plot point Z, we have to extend the line segments from points W and Y until they intersect.

The intersection of those lines will give us point Z, which will be the fourth vertex of the rectangle.

The intersection of points W and Y outcomes point Z, which is the rectangle's fourth vertex.

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Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Sophie earned $100.125 as simple interest more than Adam.

Given,

The amount deposited by Sophie = $3330

The amount deposited by  Adam = $2795

Simple interest rate for Sophie = 7.4% per year

Simple interest rate for Adam = 8.1% per year

We have to find that who earned more interest after 5 years and the amount.

Here,

Sophie's deposit;

Simple interest = PRT/100

P = 3330, R = 7.4%, T = 5 years

Then,

SI = (3330 x 7.4 x 5) / 100 = 123210/100 = $1232.10

Adam's deposit;

Simple interest = PRT/100

P = 2795, R = 8.1%, T = 5 years

Then,

SI = (2795 x 8.1 x 5) / 100 = 113197.5/100 = $1131.975

Now,

$1232.10 - $1131.975 = $100.125

Therefore,

Sophie earned $100.125 as simple interest more than Adam.

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Answer:

P=12

12=2(w+5)(multiply what's in the brackets with 2)

12=2w+10(take away 10 from each side)

2=2w(divide by 2 from each side)

1=w

do the same for the rest

P=14

2=w

P=16

3=w

P=18

4=w

Step-by-step explanation:

Answer:

\(w=\dfrac{P-10}{2}\)

\(\large\begin{array}{|c|c|c|c|c|}\cline{1-5}P&12&14&16&18\\\cline{1-5}w&1&2&3&4\\\cline{1-5}\end{array}\)

Step-by-step explanation:

Given dimensions of a rectangle:

Therefore, the expression for the perimeter of the rectangle is:

To solve for w in terms of P, rearrange the equation to make isolate w:

\(\implies P=2(w+5)\)

\(\implies P=2w+10\)

\(\implies P-10=2w\)

\(\implies \dfrac{P-10}{2}=w\)

\(\implies w=\dfrac{P-10}{2}\)

To create a table of values for P = 12, 14, 16 and 18, substitute these values of P into the equation for w.

\(\begin{aligned}P=12 \implies w&=\dfrac{12-10}{2}\\w&=\dfrac{2}{2}\\w&=1\end{aligned}\)

\(\begin{aligned}P=14 \implies w&=\dfrac{14-10}{2}\\w&=\dfrac{4}{2}\\w&=2\end{aligned}\)

\(\begin{aligned}P=16 \implies w&=\dfrac{16-10}{2}\\w&=\dfrac{6}{2}\\w&=3\end{aligned}\)

\(\begin{aligned}P=18 \implies w&=\dfrac{18-10}{2}\\w&=\dfrac{8}{2}\\w&=4\end{aligned}\)

Table of values

\(\large\begin{array}{|c|c|c|c|c|}\cline{1-5}P&12&14&16&18\\\cline{1-5}w&1&2&3&4\\\cline{1-5}\end{array}\)

Answer:

2,801.6 or rounded as 2,802

Answer:

$2081.666667 ≈ $2081.67 per month

Step-by-step explanation:

$24,980.00 ÷ 12 = $2081.666667 ≈ $2081.67

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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The presence of these organic elements, according to scientists, is insufficient evidence for the existence of ancient life on Mars since the molecules been created via other non-living processes. This assertion true.

Everything that includes carbon compounds produced by living things is considered to be organic matter. Lawn trimmings, leaves, twigs, branches, moss, algae, lichens, any animal parts, sewage, dust, insects, earthworms, and bacteria are just a few examples of what it includes.

Carbohydrates, lipids, protein, and nucleic acids are the four main kinds of organic substances that are found in all living organisms.

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Answer: \(11250\pi \\\) cm^3

Step-by-step explanation:

This could be solved with integral calculus or simple arithmetic.  

If you need to show the work in calculus, let me know, otherwise, here's the easiest way to reach the answer:

Volume of a solid is equal to the area of its 2D projection multiplied by its height, assuming that it's uniform throughout its entire height.  Fortunately, a cylinder is uniform throughout its height.  

What is a cylinder's 2D projection?  A circle!

Area of a circle = \(\pi r^{2}\)

r = 15

Area = 225pi cm^2

Now, we multiply the area of the 2D projection by the height of the cylinder.

225pi * 50 = 11250pi cm^3

The highest score with an "F" grade is the 10th percentile score. To find the 10th percentile score, count 10% of the total number of scores, which is 100. So, the 10th percentile score is the 10th score from the bottom, which is 43.

A percentile score is a value on a scale that indicates the percentage of a set of observations that are below it. For example, a score of 80% on a test means that 80% of the test-takers scored below that score and 20% scored above it. In other words, the score separates the bottom 80% from the top 20%.

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The complete question is as follows:

Answer:

The answer is"statement is true".

Step-by-step explanation:

Yeah, they may claim that it is possible, that 95% of the population would vote for Imm Thai as the best Barkeley Thai restaurant as well as the probability that such an interval will include the proportion of the trust interval of Imm Thai outside is 5% which would be \alpha 5%

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Now, According to the question:

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Let's know:

What is Confidence Interval?

A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.

The common notation for the parameter in question is θ. Often, this parameter is the population mean μ , which is estimated through the sample mean bar x.

The level C of a confidence interval gives the probability that the interval produced by the method employed includes the true value of the parameter θ.

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Answer:

1

Step-by-step explanation:

The constant of proportionality when the equation is y = ax is a.

There is nothing written there so a is assumed to be 1.

If y = 3.443

Then the constant of proportionality is 3.443, which is the value of a.

Answer:

D) 13 1/8

Step-by-step explanation:

105/8=13 1/8 cups

Hope this helped! :)

Answer:

17 ft.

Step-by-step explanation:

Because 17x25=425

And 25-8=17

Answer:

48 i guess

Step-by-step explanation:

because