Beth is making a beanbag seat in the shape of a cube. Each side of the seat is 2 feet long. Beth needs to find the volume of the seat so that she can buy the correct amount of bean. Beans are sold in bags that hold 2 cubic feet of beans. How many bags should Beth buy?

The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

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Answer:

The answer is the third option

Step-by-step explanation:

When an exponent is raised to the power of another exponent, both exponents are multiplied.
Recall that a number without an exponent is thought to be raised to the power of 1.

So after multiplying the exponents of all of the variables by 4, we are left with a solution identical to the third option.

It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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Answer:

8/5

Step-by-step explanation:

w = k / √x

4 = k / √4

k = 8

w = 8 / √x

w = 8 / √25

w = 8/5

Answer: 220:4 or 220 to 4

Step-by-step explanation:

Answer:220:4

Step-by-step explanation:

Answer: I would assume it to be 9 if you are allowed to round.

Step-by-step explanation: A sphere with a volume of 367cm^3 has a radius of 4.44. Diameter is radius * 2. This would most closely equal 8.88, which rounds to 9.

Answer:

43 coins in each piggy bank

Step-by-step explanation:

well half of 86 os 43

because 43+43=86

Answer:

43

Step-by-step explanation:

i know my dang brainly

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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a) ∀x∃y(x < y): For all values of x there exist number y such that all x are less than y.

b) ∀x∀y(((x ≥ 0) ∧ (y ≥ 0)) → (xy ≥ 0)) : For any numbers x and y if x is greater tha or equal to 0 and y is greater than or equal to 0 then their product is greater than or equal to 0.

c) ∀x∀y∃z(xy = z) : For any numbers x and y there exist number z such that the product of x and y is equal to z.

We know that  a mathematical statement is nothing but a sentence which is either true or false.

We need to translate these statements into English.

The meaning of some mathematical symbols:

∀ : for all

∃ : there exists exactly one

∧ : and

Here, x, y, z are real numbers.

Consider given mathematical statements.

a) ∀x∃y(x < y)

For all values of x there exist number y such that all x are less than y.

b) ∀x∀y(((x ≥ 0) ∧ (y ≥ 0)) → (xy ≥ 0))

For any numbers x and y if x is greater tha or equal to 0 and y is greater tha or equal to 0 then their product is greater than or equal to 0.

c) ∀x∀y∃z(xy = z)

For any numbers x and y there exist number z such that the product of x and y is equal to z.

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Answer:

\(2 {2 = | \leqslant 3 > 3 |2 > \times 2 \frac{?}{ \tan( \sec(\pi\% log_{?}( \beta ) ) ) } | | }^{?} \)

7=9/8ths

Answer:

  x = 5.5

Step-by-step explanation:

Multiply both sides of the equation by 24 (the least common denominator). This gives ...

  2(x +2) = 3(5)

  2x +4 = 15

Subtracting 4 gives you ...

  2x = 11

  x = 11/2 . . . divide by 2

  x = 5.5 . . . . . . . . write as decimal

The equation in point-slope form is y = (-1/4)x + 17/4  and the graph is attached below.

What is the slope?

The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).

Use the given points (-3, 5), along with the general point (x, y) to set up a slope calculation, and set it equal to the given slope.

(-3,5) and (x,y)

Slope = (y - 5)/[x - (-3)] = (y - 5)/(x + 3)

(y - 5)/(x + 3) = -1/4

y - 5 = -1/4(x + 3)

y - 5 = (-1/4)x - 3/4

y = (-1/4)x - 3/4 + 5

y = (-1/4)x + 17/4.

Hence, the equation in point-slope form is y = (-1/4)x + 17/4  and the graph is attached below.

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Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Answer:

A

Step-by-step explanation:

Statistical questions give data of multiple accounts.

Answer:

B

Step-by-step explanation:

Answer:

0.281 = 28.1% probability that the mean is less than 50.2 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 51 and standard deviation 9 inches.

This means that \(\mu = 51, \sigma = 9\)

A sample, with size n = 43

By the Central Limit Theorem, \(s = \frac{9}{\sqrt{43}} = 1.3725\)

What is the probability that the mean is less than 50.2 inches?

This is the pvalue of Z when X = 50.2. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{50.2 - 51}{1.3725}\)

\(Z = -0.58\)

\(Z = -0.58\) has a pvalue of 0.281

0.281 = 28.1% probability that the mean is less than 50.2 inches.

Answer:

x ∈ [-0.369, 0.678]

Step-by-step explanation:

To prove - \(\sqrt[4]{1 + 2x}\) ≈ 1 + \(\frac{1}{2}\) x

As given , f(x) = \(\sqrt[4]{1 + 2x}\)

As we know that the linear approximation can be defined as :

L(x) = f(a) + f'(a)(x-a)             .........(1)

Now,

We have to show that at a = 0 , equation (1) satisfies

Now,

f(0) = \(\sqrt[4]{1 + 0}\) = 1

Also,

f'(x) =

\(\frac{d}{dx} (\sqrt[4]{1 + 2x} ) = \frac{1}{4}(1 + 2x)^{\frac{1}{4} - 1}\frac{d}{dx}(1 + 2x) ) \\ = \frac{1}{4}(1 + 2x)^{\frac{-3}{4} } (2)\\ = \frac{1}{2}(1 + 2x)^{\frac{-3}{4} }\\\)

∴ we get

f'(x) = \(\frac{1}{2}(1 + 2x)^{-\frac{3}{4} }\)

⇒f'(0) = \(\frac{1}{2}\)

Now, equation (1) becomes

L(x) = f(0) + f'(0)(x-0)

     = 1 + \(\frac{1}{2}\) (x)

⇒ \(\sqrt[4]{1 + 2x}\) ≈ 1 + \(\frac{1}{2}\) x

Hence verified.

Now,

|\(\sqrt[4]{1 + 2x}\) - (1 + \(\frac{1}{2}\) x ) | ≤ 0.1

⇒ -0.36893 ≤ x ≤ 0.67766

⇒x ∈ [-0.369, 0.678]

Answer:

Each number is one-tenth the number to its left.

Step-by-step explanation: -1,000 is one tenth of -10,000 for example

Answer:

The median resistance of the wire is not small than 0,15 Ω at 0,05 of level of significance

Step-by-step explanation:

From data we get    x ( sample mean ) s  ( sample standard deviation) and n size of the sample

0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152

0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147

n = 16

x ≈ 0,1487

s = 0,00193

Test Hypothesis

1.-Null Hypothesis               H₀                x  =  μ₀  = 0,15

Alternative Hypothesis  Hₐ                 x < 0,15

We assume data follows normal distribution

as n = 16 we should use a t-student table

As the question is : "Is the median resistance less than 0,15 0hm " we must use  one-tail-test ( to the left)

Then:

2.-Significance level  α = 5 %      α = 0,05

degree of freedom   n = 16     df = n - 1    df = 15

From t-table we find t(c) = 1,7531      at the left is t(c) = - 1,7531

3.-t(s) = ( x - 0,15 ) / s / √n

t(s) = 0,1487 - 0,15 / 0,00193/√16

t(s) = - 0,0013 * 4 / 0,00193

t(s) = - 2,69

4.- Comparing t(s) and t(c)  

|t(s) | > |t(c)|       2,69 > 1,753

Then t(s) is in the rejection region

5.- We reject H₀  . At 95 % of confidence Interval

Answer:

\(3 \sqrt{13} \)

Step-by-step explanation:

\( {6}^{2} + {9}^{2} \)

\( \sqrt{117} \)

\(3 \sqrt{13} \)

Answer:

bro im doing the same on acellus

Step-by-step explanation:

Answer: 12 inches

Step-by-step explanation: 1:10

10:100

12:120

Yeah So each inches is 10 miles so if you use 12 inches then you get 120 miles in the Map that’s my explanation, so try to rewrite your question cause it’s kinda messed up

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Answer:

11

Step-by-step explanation:

14/14=154/14

g=11

Answer:

B. 11

Step-by-step explanation:

14g = 154

[given]

14g ÷ 14 = 154 ÷ 14

[division property of equality, divide both sides by 14 to cancel out the coefficient of 14 in 14g to get g]

g = 154 ÷ 14

[division property, how many times does 14 fit in 154?]

g = 11

________

11 is the solution because when 11 is substituted or plugged in for the variable g, it is multiplied by 14 to make 154.

g = 11 → 14g = 154

14(11) = 154

154 = 154 ✓

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

Answer:

25

Step-by-step explanation:

a square has 4 sides.

100/4=25

Slope is zero and the y-intercept is (0,-5)

What is slope ?

In mathematics, slope is a measure of the steepness of a line. It is defined as the ratio of the vertical change (rise) between two points on the line to the horizontal change (run) between the same two points.

In other words, the slope of a line is the change in the y-coordinate divided by the change in the x-coordinate between any two points on the line. It can also be thought of as the rate at which the line rises or falls as it moves horizontally.

The formula for calculating slope is:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line.

According to the question:
The equation Y = -5 is already in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

Comparing the equation Y = -5 to y = mx + b, we can see that:

The slope, m, is 0, since there is no x-term in the equation.

The y-intercept, b, is -5, since that is the constant value in the equation.

Therefore, the correct answer is:

B. Slope is zero and the y-intercept is (0,-5)


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Answer: Any number smaller than 6

3k - 6 < 12

(Add six to both sides)

= 3k < 18

(Divide by 3 on both sides)

= k < 6

Also a side note that may be helpful in other similar problems: If you are dividing or multiplying by a negative number you have to flip the inequality sign.

The approximate height of the tree is feet.

The exact height of the tree cannot be determined without additional information. However, a rough estimate can be made using the following formula:

Height of Tree = Length of Shadow / Tan(Angle of Elevation of Sun)

In this case, the estimated height of the tree would be: Length of Shadow / Tan( ) = feet/tan( ).

The formula to calculate the height of a tree is:

Height of Tree = Length of Shadow * Tan(Angle of Elevation of the Sun)

In this case, Length of Shadow = feet and Angle of Elevation of the Sun

Therefore, the height of the tree can be calculated as follows:

Height of Tree = feet * Tan( )

Height of Tree = feet * 0.839

Height of Tree = feet

Therefore, By  the angle of elevation the approximate height of the tree is feet.

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The number of round subsets of {1, 2, ..., n} has the same parity as n.

We are given a subset S of {1, 2, ..., n}.

Let S' be the subset {n+1-k }where k is an element of S. We know that the average of the elements of S is integral if and only if the average of the elements of S' is integral. We will solve for n odd and n even separately as follows.

Let us assume that n is odd.

Let there be the subsets S such that S ≠ S' divide into pairs S, S'. So there are an even number of subsets S with integral averages such that S ≠ S'.

But there is one exception, the non-empty subsets S with S = S' divide into pairs T, such that T ∪ {(n+1)/2} where (n+1)/2 is not an element of T.

If T = T' then T has average (n+1)/2, so either both T, T ∪ {(n+1)/2} have an integral average or neither of T, T ∪ {(n+1)/2} have an integral average.

but there is an exception, that is the subset { (n+1)/2 } where the corresponding element of the pair is empty.

Hence, the number of non-empty subsets S with integral average and S = S' is odd. Thus, the result is true for n odd.

Similarly, the case n even is simpler, because we cannot have S = S' for a subset with an integral average since, the average is (n+1)/2, which is not integral. So the subsets with integral average form pairs S, S'. Hence, these subsets are even in number.

Hence, proved.

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Answer:

(-1,-2)

Step-by-step explanation:

Hello!

The solution to the system is at the intersection between the two graphed lines.

Remember that a coordinate is written in (x,y) format, so we take the x-value of the points and the y-value of the point.

The coordinate is (-1, -2).