HELP ! (Order of Operations with Radicals MC) Evaluate quantity the square root of 16 times 3 squared minus the cube root of negative 27 end quantity divided by 2 squared.

Ellen renovates his square farmhouse foyer that has a side of 15 feet. Therefore, the area of Ellen's square farmhouse foyer is 225 square feet.

The area of Ellen's square farmhouse foyer, with a side of 15 feet, is 225 square feet.

To find the area of a square, you need to multiply the length of one side by itself.

In this case, the side of the square foyer is 15 feet, so you simply need to multiply 15 by 15.

15 x 15 = 225

Therefore, the area of Ellen's square farmhouse foyer is 225 square feet. This measurement can be useful for determining how much flooring, paint, or other materials are needed to complete the renovation project.

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Answer:

10

Step-by-step explanation:

10

Answer:

x=−y−1

Step-by-step explanation:

y=−x−1

Step 1: Flip the equation.

−x−1=y

Step 2: Add 1 to both sides.

−x−1+1=y+1

−x=y+1

Step 3: Divide both sides by -1.

−x

−1

=

y+1

−1

x=−y−1

To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

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9514 1404 393

Answer:

  {-2, 0, 1, 3}

Step-by-step explanation:

The domain is the list of the x-values in the (x, y) pairs:

  {-2, 0, 1, 3}

Answer:

              \(\bold{a_n=7n+27}\)

Step-by-step explanation:

\(a_1=34\\a_2=41\\a_3=48\\a_4=55\\\\41-34=7\ \ and\ \ 48-41=7\ \ and \ \ 55-48=7\)

So this is the arithmetic sequence with difference d=7

\(a_n=a_1+d(n-1)\\\\a_n=34+7(n-1)\\\\a_n=34+7n-7\\\\\underline{a_n=7n+27}\)

Answer:

3 games

Step-by-step explanation:

The computation of the maximum number of games that he could buy is shown below:

= Amount available - already spent

= $75 - $28

= $47

If each game cost $15

So, the maximum no of games is

= $47 ÷ $15

= 3.133

= 3 games

On a postsynaptic membrane, the opening of K+ ion channel induces an IPSP (Inhibitory Postsynaptic Potential).

The potential changes in a neuron after the receptor and ion channel activation is called synaptic potential. This potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP).EPSP is a depolarizing potential that results from the opening of the Na+ ion channel. It causes a change in the potential of the neuron towards threshold level that may trigger an action potential.Ion channels and pumps in a postsynaptic neuron regulate the internal potential of the cell. In a typical postsynaptic cell, the resting potential (Vrest) is -70 mV, the threshold value is -55 mV, the reversal potential for Cl- ion (Ec) is -63 mV, the reversal potential for K+ ion (Ex) is -90 mV, and the reversal potential for Na+ ion (ENa) is 60 mV.The opening of Cl- ion channel leads to an inward flow of negative ions and thus results in hyperpolarization. The opening of K+ ion channel leads to an outward flow of K+ ions, and the membrane potential becomes more negative. Thus, it also results in hyperpolarization. The opening of a Na+ ion channel leads to inward flow of Na+ ions, which makes the cell more positive, and it is depolarization. Therefore, the opening of K+ ion channel leads to an IPSP, and it hyperpolarizes the neuron.

The postsynaptic potential can be either an Excitatory Postsynaptic Potential (EPSP) or an Inhibitory Postsynaptic Potential (IPSP). The opening of the K+ ion channel leads to an outward flow of K+ ions, which makes the cell more negative and hyperpolarizes it, leading to IPSP.

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Answer:

Step-by-step explanation:

In kinematic motion

x= xo + vt

xo= 0 because they didn't give it so we suppose it as 0

x= vt

x= 6m/s * 15s

x= 90m

Answer:

5400 meters

Step-by-step explanation:

In order to find the answer to this question you need to multiply the amount traveled per second by the amount of seconds he ran, then just convert that answer into meters.

1 second = 6 m/s

15 seconds = 90 m/s

15 × 6 = 90

1 meter per second = 60 meters per minute

90 × 60 = 5400

= 5400 meters

Hope this helps.

Answer:

832

Step-by-step explanation:

y 32 * 26

We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.

To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units

Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question  but the answer has been provided in the format requested.

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Answer:

B.(-7, -3, 0, 1 , 4)

Step-by-step explanation:

Domain is the x so it's -7, -3, 0, 1 , 4

Answer:

B.

Step-by-step explanation:

The domain is the x-axis, which is always the first number in the ordered pair.

Your current monthly income, before the effect of inflation, is approximately $2,129.63.

To determine your current monthly income, we need to account for the effect of inflation on the purchasing power of your income. Given that the inflation rate is eight percent, we can calculate the original income before the inflation adjustment.

Let's denote your current monthly income as "X."

The purchasing power after accounting for eight percent inflation is $2,300. This means that your original income, before the inflation adjustment, would have had a higher value. We need to find this original income.

Inflation reduces the purchasing power of your income, so we need to increase the current purchasing power by the inflation rate to find the original income. In this case, we'll increase $2,300 by eight percent:

Original Income = $2,300 / (1 + 0.08)

Original Income = $2,300 / 1.08

Original Income ≈ $2,129.63

Therefore, your current monthly income, before the effect of inflation, is approximately $2,129.63.

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Mr. Davis' granola snacks will last for 20 days.

What is division ?

Division is a basic arithmetic operation used to find the quotient or the number of times one quantity is contained within another. In division, a dividend is divided by a divisor, and the result is the quotient. For example, 12 divided by 3 is 4, where 12 is the dividend, 3 is the divisor, and 4 is the quotient.

Division is the inverse operation of multiplication. If you know the multiplication facts, you can use them to help you divide numbers. For instance, if you know that 5 times 6 equals 30, then you also know that 30 divided by 5 equals 6, and that 30 divided by 6 equals 5.

According to given conditions:

To find out how many days Mr. Davis' granola snacks will last, we need to divide the total amount of granola by the amount he eats each day.

Let's say Mr. Davis made 10 lbs of granola snacks.

He eats 0.5 lb each day.

So we can use the formula:

Number of days = Total amount of granola / Amount eaten each day

Number of days = 10 lbs / 0.5 lb per day

Number of days = 20 days

Therefore, Mr. Davis' granola snacks will last for 20 days.

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Answer:

If you need the next, it is 19.

Step-by-step explanation:

The sequence is going +3.

16 + 3=

19.

Tell me if I misinterpreted.

Answer:

\(3n + 4\)

Step-by-step explanation:

\(10 - 7 = 3\)

\(3n\)

\( = 3n + 4\)

To check whether the answer is correct

\( n = 1 \\ 3 \times 1 + 4 \\ 3 + 4 \\ = 7\)

\(n = 2 \\ 3 \times 2 + 4 \\6 + 4 \\ = 10\)

Yes, ur answer is correct

hope this helps

brainliest appreciated

good luck! have a nice day!

The solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).

The solution to the differential equation dy/dt + 2y = 0 can be found by separating the variables and integrating both sides.

First, separate the variables:
dy/dt = -2y

Next, integrate both sides:
∫dy/y = ∫-2dt

This gives us:
ln(y) = -2t + C

Now, solve for y:
y = e^(-2t+C)

Since we know that y(0) = 3, we can plug in 0 for t and 3 for y to solve for C:
3 = e^(C)
C = ln(3)

So the solution is:
y = e^(-2t+ln(3))

Simplifying further gives us:
y = 3e^(-2t)

Therefore, the solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).

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Answer:

12 1/4 or (Decimal: 12.25)

Step-by-step explanation:

(3 1/2) (3 1/2)

= 7/2 (3 1/2)

= 7/2 (7/2)

= 49/4

= 12 1/4

   I hope I helped you!!

Step-by-step explanation:

When we multiplying, we find the sum of the exponents so

\(3 {}^{ \frac{1}{2} } \times 3 {}^{ \frac{1}{2} } \\ {3}^{ \frac{1}{2} + \frac{1}{2} } \\ = {3}^{ \frac{2}{2} } \\ = 3\)

The probability that fewer than two machines will be inoperative during a particular day is 0.29753.

Poisson distribution tells us the probability that exactly k events happen in a given time period, given that we expect of those events during that time period, and the chances of two or more events occurring are independent of each other.

For a Poisson distribution as described above, the probability of exactly k events during the given time period is:

P(X=k) = (k.e-)/(k!)

In this case we have one day as time period, we have 200 machines in use, and the probability of machine being inoperative on a given day is 0.009

No of machines being inoperative on any day = 0.009 x 200 = 1.8

The probability of fewer than two machines being inoperative is equal to the sum of probability of zero machines being inoperative and one machine being inoperative.

P(X<2) = P(X=0) + P(X=1)

On using the formula,

P(X<2) = (1.80.e-1.8)/(0!) + (1.81.e-1.8)/(1!)

On simplifying it,P(X<2) = e-1.8 +1.8*e-1.8  = 2.8*e-1.8

The probability is 2.8*e-1.8 which is approximately equal  to 0.29753.

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Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

The garden that is not used to grow lettuce is 52 square meters.

The school garden's length = 8.4 meters

The school garden's wide = 6.4 meters

The section used to grow lettuce = Length = 2.2 meters

The section used to grow lettuce = Width = 0.8 meters

One of the quadrilateral shapes in which all four angles are right angles or equal to 90 degrees is the rectangle. It is a polygon with four sides whose opposing sides are parallel and equal to one another.

Calculating the area of the garden that is not used to grow lettuce -

= 8.4 x 6.4 - 2.2 x 0.8

= 53.76 - 1.76

= 52

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Answer:

3. n = 7

4. n = 10

5. n = -5

6. n = -9

Step-by-step explanation:

Answer:

4/141

Step-by-step explanation:

simplify 20/705

Answer:

4/141

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(x - 8 = 38 - x \\ x + x = 38 + 8 \\ 2x = 46 \\ x = 46 \div 2 \\ x = 23\)

The number is 23 if the difference between a number and eight is the same as 38 less the number.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The difference between a number and eight is the same as 38 less the number.

Let x be the number

x - 8 = 38 - x

2x = 38 + 8

2x = 46

x = 46/2 = 23

Thus, the number is 23 if the difference between a number and eight is the same as 38 less the number.

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Answer:

São todas planas.

Step-by-step explanation:

São todas planas.

The minimum order of the Taylor Polynomial required to approximate the quantity 1.06 with an absolute error no greater than 10^(-2) is 0.

The minimum order of the Taylor polynomial required to approximate the quantity 1.06 with an absolute error no greater than 10^(-2), we need to use the remainder term of the Taylor polynomial.

The remainder term, denoted by R_n(x), represents the difference between the actual value of the function and its approximation using an nth-degree Taylor polynomial.

In this case, we are given that the absolute error should be no greater than 10^(-2), which means we want to find the minimum value of n such that |R_n(x)| ≤ 10^(-2).

The remainder term for a Taylor polynomial centered at 0 can be expressed using the Lagrange form of the remainder:

|R_n(x)| ≤ M * |x-a|^(n+1) / (n+1),

where M is an upper bound for the absolute value of the (n+1)th derivative of the function.

Since we are approximating the quantity 1.06, which is a constant, with a Taylor polynomial, the (n+1)th derivative will be 0 for all n.

Therefore, the remainder term simplifies to:

|R_n(x)| = 0.

This means that the remainder term is 0 for any value of n, and the approximation using the Taylor polynomial will be exact. Thus, we can achieve an absolute error of 10^(-2) or less for any order of the Taylor polynomial centered at 0.

the minimum order of the Taylor polynomial required to approximate the quantity 1.06 with an absolute error no greater than 10^(-2) is 0.

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Answer:

ΔWUV⁓ΔSRT

Step-by-step explanation:

∠W⁓∠S

∠U⁓∠R

1. (f ◦ f)(x) = x + 10.
2. (f ◦ g)(x) = x + 10.
3. (g ◦ f)(x) = x + 10.
4. (g ◦ g)(x) = x + 10.

1. (f ◦ f)(x):
To find (f ◦ f)(x), we need to perform the composition of the functions f(x) and f(x).

First, let's find f(f(x)). We substitute f(x) into the function f(x), which gives us f(f(x)) = f(x + 5).

Now, let's substitute x + 5 into the function f(x). We get f(f(x)) = f(x + 5) = (x + 5) + 5 = x + 10.

Therefore, (f ◦ f)(x) = x + 10.

2. (f ◦ g)(x):
To find (f ◦ g)(x), we need to perform the composition of the functions f(x) and g(x).

First, let's find f(g(x)). We substitute g(x) into the function f(x), which gives us f(g(x)) = f(1(x + 5)).

Now, let's substitute 1(x + 5) into the function f(x). We get f(g(x)) = f(1(x + 5)) = 1(x + 5) + 5 = x + 5 + 5 = x + 10.

Therefore, (f ◦ g)(x) = x + 10.

3. (g ◦ f)(x):
To find (g ◦ f)(x), we need to perform the composition of the functions g(x) and f(x).

First, let's find g(f(x)). We substitute f(x) into the function g(x), which gives us g(f(x)) = 1(f(x) + 5).

Now, let's substitute f(x) + 5 into the function g(x). We get g(f(x)) = 1(f(x) + 5) = 1((x + 5) + 5) = 1(x + 10) = x + 10.

Therefore, (g ◦ f)(x) = x + 10.

4. (g ◦ g)(x):
To find (g ◦ g)(x), we need to perform the composition of the functions g(x) and g(x).

First, let's find g(g(x)). We substitute g(x) into the function g(x), which gives us g(g(x)) = 1(g(x) + 5).

Now, let's substitute g(x) + 5 into the function g(x). We get g(g(x)) = 1(g(x) + 5) = 1((1(x + 5)) + 5) = 1(1(x + 5) + 5) = 1(1x + 10) = 1(x + 10) = x + 10.

Therefore, (g ◦ g)(x) = x + 10.

In summary:

1. (f ◦ f)(x) = x + 10.
2. (f ◦ g)(x) = x + 10.
3. (g ◦ f)(x) = x + 10.
4. (g ◦ g)(x) = x + 10.

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Answer:

19,188

Step-by-step explanation:

hope this helps ;)