Find the common difference of the arithmetic sequence 4,0,-4

Answer:

B is correct because there cannot be negative people in a cafeteria.

Step-by-step explanation:

The study of data collection, analysis, presentation, and interpretation is known as statistics.

Given,

What is statistics?

Data collection, analysis, presentation, and interpretation are all part of the science of statistics. Much of the early motivation for the subject of statistics came from governmental needs for information on a variety of economic activity and census data.

Types of statistics;

Based on the characteristics, the various statistical kinds are divided: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as using pie charts, bar graphs, or tables.

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Answer:

Step-by-step explanation:

4w + 2L = 670

2w + L = 335

L = 335 - 2w

Area A(w) = w(335 - 2w)

max occurs at the average of the solutions.

solutions are w=0 and w = 167.5

the average is 83.75

83.75 * (335 - 2 * 83.75) = 14028.125

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

A prism will always have two congruent parallel bases.

Step-by-step explanation: the definition of a prism is: a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms. Hope that helps and rate brainiest please!

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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The two equations are a + b + (a + b - 2) = 46,.2a = (a + b - 2) - 8.Simplifying these equations will yield the values of a, b, and c, which represent the lengths of the sides of the triangle.

Let's assume the lengths of the three sides of the triangle are a, b, and c, where c is the longest side.

According to the given information:The perimeter of the triangle is 46 centimeters, so we have the equation a + b + c = 46.

The longest side (c) is 2 centimeters less than the sum of the other two sides (a + b - 2), so we have c = a + b - 2.

Twice the shortest side (2a) is 8 centimeters less than the longest side (c), so we have 2a = c - 8.

To solve this system of equations, we can substitute equation 2 and equation 3 into equation 1:

a + b + (a + b - 2) = 46,

2a = (a + b - 2) - 8.

Simplifying these equations will yield the values of a, b, and c, which represent the lengths of the sides of the triangle.

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Answer:

Step-by-step explanation:

The inverse of a function may not always be a function! The original function must be a one-to-one function to guarantee that its inverse will also be a function. A function is a one-to-one function if and only if each second element corresponds to one and only one first element. (Each x and y value is used only once.)

Answer:

The inverse is not a function: A function's inverse may not always be a function. The function (blue) f(x)=x2 f ( x ) = x 2 , includes the points (−1,1) and (1,1) . Therefore, the inverse would include the points: (1,−1) and (1,1) which the input value repeats, and therefore is not a function.

Answer:

Can't answer if you don't have the answers

Answer: It’s A

Step-by-step explanation:

Answer:

Commutative Property Addition

Answer:

3+(x*2)=amount of tulips planted

Answer:

3x + y = 9.5

Step-by-step explanation:

1) The equation of a line is in the form of y = mx + c, where m is the gradient and c is the y-intercept. Write the given values in that form.

y = -3x + c

2) Find the value of k by using the following formula: m = y2 - y1 / x2 - x1. We already know m.

-3 = 8 - k / k - 3

-3(k - 3) = 8 - k

-3k + 9 = 8 - k

-3k + k = 8 - 9

-2k = -1

k = -1/-2

k = 1/2

3) Therefore, a line with gradient of - 3 passes through the points (3, 1/2) and (1/2, 8). We can find the y-intercept (c). To do so, choose one of the coordinates and substitute.

y = -3x + c

1/2 = -3(3) + c

1/2 = -9 + c

1/2 + 9 = c

9.5 = c

Completed equation of the line: y = -3x + 9.5

4) Write it in the form of ax + by = c.

3x + y = 9.5

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

Step-by-step explanation:

Answer:

2640 cubic feet

Step-by-step explanation:

V(l·w·h) = 240* x 11 = 2640

*240 is already the length x width

Answer:

six eighths

Step-by-step explanation:

There are 2 vowels and 6 consonants in MATHCLUB, so the probability of randomly drawing a consonant would be 6/8 (or 3/4 simplified).

Answer:

b) 11.75

Step-by-step explanation:

each quarter is equal to .25 so 3×.25 is .75

With the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

So, gallons of water used to wash 14 loads are:

Therefore, with the help of a linear equation, we know that 182 gallons of water would be used to wash 14 loads.

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Answer:

The answers are letters A,B,and C

\(f(x)=\cfrac{e^x+1}{e^{x^2} + 1}\implies \cfrac{df}{dx}=\stackrel{\textit{\large quotient rule}}{\cfrac{e^x(e^{x^2}+1)~~ - ~~(e^x+1)\stackrel{chain~rule}{(e^{x^2}\cdot 2x)}}{(e^{x^2} + 1)^2}} \\\\\\ \left. \cfrac{df}{dx} \right|_{x=0}\implies \cfrac{e^0(e^{0^2}+1)~~ - ~~(e^0+1)(e^{0^2}\cdot 2(0))}{(e^{0^2} + 1)^2}\implies \cfrac{2~~ - ~~0}{4}\implies \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}} \\\\[-0.35em] ~\dotfill\\\\ f(0)=\cfrac{e^0 + 1}{e^{0^2} + 1}\implies f(0)=\cfrac{2}{2}\implies f(0)=1\)

now, let's simply plug all those guys in the point-slope form for that tangent line at x = 0.

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{0})\implies y=\cfrac{1}{2}x+1\)

Answer:

[D] 1/14

Step-by-step explanation:

Question to answer:

What is the probability of picking an orange marble and flipping tails?

Solve:

let see how many orange marbles are there:

As we can see there is 1 orange marble out of 7 total. The probability of picking an orange marble is 1/7.

Now let see how many side a coin have:

As we can see the probability of flipping tails is 1/2 because 1 side is tails out of 2 sides total.Now multiply straight across:

1/2 × 1/7

→ 1 × 1 = 1

→ 2 × 7 = 14

Thus, the result is 1/14

Hence, the answer is [D] 1/14

~lenvy~

Answer:

\(\sf D)\quad\dfrac{1}{14}\)

Step-by-step explanation:

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

\(\implies \sf P(\textsf{orange marble})=\dfrac{1}{7}\)

\(\implies \sf P(\textsf{tails})=\dfrac{1}{2}\)

\(\implies \sf P(\textsf{orange marble})\:AND\:P(\textsf{tails})=\dfrac{1}{7} \times \dfrac{1}{2}=\dfrac{1}{14}\)

Answer: A

Step-by-step explanation:

Replace x by 3, and y by 2

Answer:

Step-by-step explanation:

x = 3 , y = 2

• Y= x - 1

• 2 = 3-1

• 2 = 2

Answer:

the train will travel 245 feet in 3 and 1/2 seconds

Step-by-step explanation:

To determine the distance the train will travel in 3 and 1/2 seconds, we can use a proportion based on the given information.

Let's set up the proportion:

70 feet / (1/10 second) = x feet / (3 1/2 seconds)

To solve this proportion, we can first convert the mixed number 3 1/2 to an improper fraction.

3 1/2 = 7/2

Now we can rewrite the proportion:

70 / (1/10) = x / (7/2)

To simplify the proportion, we can multiply the numerator and denominator of the right side by 10/1:

70 / (1/10) = (x * 10) / (7/2)

Simplifying further, we get:

70 * (10/1) = x * (10/7/2)

700 = x * (20/7)

To find x, we can divide both sides of the equation by (20/7):

x = 700 / (20/7)

x = 700 * (7/20)

x = 245 feet

Therefore, at the same speed, the train will travel 245 feet in 3 and 1/2 seconds.

Answer:

3

Step-by-step explanation:

8x + 4x = -15 + 51

12x = 36

∴ x = 36 ÷ 12 = 3

Answer:

x=33

Step-by-step explanation:

If you didn't know all of the angles in a triangle add up to equal 180

We are given to angles, 90 (the square indicates that its a right angle which is equal to 90) and 57

So to find the missing anlge we subtract the given angles from 180

180-90=90

90-57=33

therefore x=33

During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

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a) The compounded amount in the account at the end of 1 year is $7,950.

b) The compounded amount in the account at the end of 2 years is $8,427.

Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.

By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.

Compound interest is unlike simple interest, which does not compound interest.

The compound interest formula is:

A = P(1 + r/n)^nt

A = Final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

t = number of time periods elapsed

Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:

A = P(1 + r)ⁿ

Principal = $7,500

Compound interest rate = 6%

Compounding period = Annually

Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)

Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)

Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.

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Answer:

what statement

Step-by-step explanation:

Answer:

I would say C. 2/3 + n = 6/5

Step-by-step explanation:

Hope it helps. Let me know