Please help me with finding the length of AC. I’ll make this 20 points since it’s kinda long. Please don’t guess my grades depends on it

Answer:

You would need 9/4 or 2 1/4 gallons of paint

Step-by-step explanation:

You would need 2 1/4 gallon of paint because if 1/3 of the room takes 1/4 paint, then 3/4 would finish a room, multiply the three by three for three rooms and there you have 9/4 or 2 1/4 gallons

Answer:

5.79166666667

Step-by-step explanation:

round if needed

first.... nice picture :)

second, the answer is n= 12

happy to help!!

we subtract 3 from both sides:

3n  +  3  =  39

      - 3      -3

3n  =  36

then we dived both sides by 3

3n/ 3  =  36/3

n   = 12

Ta-Da!! lol

The value of n from the given equation is 12.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3n+3=39.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 3n+3=39

3n=36

n=36/3

n=12

Therefore, the value of n is 12.

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Sum of a supplementary angle is 180 degrees

3x +5 + 5x +15 = 180

8x + 20 = 180

8x = 180 -20

8x = 160

divide both sides by x

8x/8 = 160/8

x = 20 degrees

3x + 5 = 3(20) + 5

3x +5 = 60 + 5

3x +5 = 65 degrees

5x +15 = 5(20) + 15

5x +5 = 100 +15

5x +5 = 115 degrees

Answer:

Step-by-step explanation:

they want you to recognize that it's a linear relationship

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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Answer:

SAS because they gave you a side and angle and another side.

Step-by-step explanation:

Yes the triangles are similar

They are similar by SAS postulate.

Hope it helps :)❤

The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.

To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;

`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`

Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.

The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.

Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`

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Answer:

7x + 2y + 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3 + 8x - 2y - x + 1 + 4y

Step 2: Simplify

It would take a tiger about 32 days to eat an eland antelope, 12 days to eat a boar, 3 days to eat a chital deer, and 42 days to eat a water buffalo, assuming that it eats 55 pounds of meat every day.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To determine how many days it would take for a tiger to eat each prey, we need to divide the weight of the prey by the amount of meat a tiger can eat in a day (55 pounds).

Eland antelope: 1,754 pounds / 55 pounds = 31.89 days (rounded to 32 days)

Boar: 661 pounds / 55 pounds = 12.02 days (rounded to 12 days)

Chital deer: 183 pounds / 55 pounds = 3.33 days (rounded to 3 days)

Water buffalo: 2,322 pounds / 55 pounds = 42.22 days (rounded to 42 days)

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The complete question would be as:

A wild tiger can eat up to 55 pounds of meat in a day. about how many days would it take for a tiger to eat the following prey? eland antelope 1,754 pounds

Boar 661 pounds

Chital deer 183 pounds

water buffalo 2,322 pounds

Answer:

Dividend: 3 1/2

Divisor: 1 3/4

To solve this problem, we can convert both mixed numbers to improper fractions:

Dividend: 7/2

Divisor: 7/4

Then we can divide the two fractions:

(7/2) ÷ (7/4) = (7/2) x (4/7) = 2

So the quotient is 2, which is a whole number. Therefore, the division problem 3 1/2 ÷ 1 3/4 = 2 has been solved.

This limit approaches |x/4| as k approaches infinity, which means the power series converges if |x/4| < 1, or |x| < 4. Therefore, the radius of convergence is R = 4.

To expand the function 3/(4 + x)^3 using the binomial series, we can rewrite the function as:
3 * (1 / (4 + x))^3
Now, we can apply the binomial series expansion formula, which is:
(1 + z)^k = ∑ (from n=0 to infinity) (k choose n) * z^n
Here, z = -x/4, and k = -3.
So, the expansion becomes:
3 * ∑ (from n=0 to infinity) (-3 choose n) * (-x/4)^n
The radius of convergence, R, can be found using the Ratio Test:
R = lim (n -> infinity) |a_n+1 / a_n|, where a_n is the nth term of the series.
a_n = (-3 choose n) * (-x/4)^n
a_n+1 = (-3 choose n+1) * (-x/4)^(n+1)
R = lim (n -> infinity) |((-3 choose n+1) * (-x/4)^(n+1)) / ((-3 choose n) * (-x/4)^n)|
After canceling the terms:
R = lim (n -> infinity) |((-3 - n) / (n + 1)) * (-x/4)|
Since this limit does not depend on n, the limit equals:
R = |(-3 / 1) * (-x/4)| = |-x/4|
To find the radius of convergence, set R < 1:
|-x/4| < 1
-1 < x/4 < 1
-4 < x < 4

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This limit approaches |x/4| as k approaches infinity, which means the power series converges if |x/4| < 1, or |x| < 4. Therefore, the radius of convergence is R = 4.

To expand the function 3/(4 + x)^3 using the binomial series, we can rewrite the function as:
3 * (1 / (4 + x))^3
Now, we can apply the binomial series expansion formula, which is:
(1 + z)^k = ∑ (from n=0 to infinity) (k choose n) * z^n
Here, z = -x/4, and k = -3.
So, the expansion becomes:
3 * ∑ (from n=0 to infinity) (-3 choose n) * (-x/4)^n
The radius of convergence, R, can be found using the Ratio Test:
R = lim (n -> infinity) |a_n+1 / a_n|, where a_n is the nth term of the series.
a_n = (-3 choose n) * (-x/4)^n
a_n+1 = (-3 choose n+1) * (-x/4)^(n+1)
R = lim (n -> infinity) |((-3 choose n+1) * (-x/4)^(n+1)) / ((-3 choose n) * (-x/4)^n)|
After canceling the terms:
R = lim (n -> infinity) |((-3 - n) / (n + 1)) * (-x/4)|
Since this limit does not depend on n, the limit equals:
R = |(-3 / 1) * (-x/4)| = |-x/4|
To find the radius of convergence, set R < 1:
|-x/4| < 1
-1 < x/4 < 1
-4 < x < 4

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Yes, Sara can conclude the difference is significant because a 2-minute difference is not likely to happen by chance.

Given, that Sara is studying how quickly adults tire after eating turkey. She splits a group of 20 adults into 2 groups.

One group is given a turkey to eat and the other group is not given anything to eat.

Sara asks the adults to start exercising at the same and to stop when they tire, measuring the time each adult stops exercising.

She finds that the adults who did not eat turkey exercised 2 minutes longer than those who did eat turkey.

We have to determine Sara rerandomizes the data, calculates the difference between the means, and creates the dot plot shown below.

Level of significance measures the unlikeliness of a hypothesis's against the measured reading.

0.05 is a common level of significance which depicts that there are 5% chances of a  type I error thereby rejecting a true null hypothesis in a one-way test.

In two way test, it depicts that there are 2.5% chances of a  type I error thereby rejecting a true null hypothesis.

It is the probability of rejecting a null hypothesis with a probability of test suffering an error of type based on the data, Sara can conclude that the difference is significant because when we are analyzing data and reach a statistically significant result then nothing or no event happens by chance.

Sara can conclude that the difference is significant because a two minutes difference is not likely to happen by chance.

In analyzing data, a statistically significant result is one that is not attributed to chance, that is, there is no way the event could have occurred by chance.

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False, the expected cell frequency is based on the researcher's opinion.

The expected cell frequency is not based on the researcher's opinion. It is calculated based on the sample data and the null hypothesis. The null hypothesis assumes that there is no relationship between the variables being studied. The expected cell frequency is the number of observations that would be expected in a particular cell under the null hypothesis. It is calculated using the row and column totals and the sample size. The expected cell frequency is used to calculate the chi-square statistic in a chi-square test of independence. Therefore, the expected cell frequency is not based on the researcher's opinion, but rather on statistical calculations using the sample data and the null hypothesis.

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Answer:

A = a/2^2 + b/2^2          where b = 26 - a     (a/2 and b/2 sides of square)

A = a^2 / 4 + 1/4 (a^2 - 52 a + 676)

4 * A= 2 a^2 - 52 a + 676

4 dA / da =4 a - 52 = 0

Area will be minimized when   a = 13 and b = 13

Check:  

 n A

13 13 0 84.5

12 14 1 85

11 15 2 86.5

10 16 3 89

9 17 4 92.5

8 18 5 97

7 19 6 102.5

6 20 7 109

5 21 8 116.5

4 22 9 125

3 23 10 134.5

2 24 11 145

1 25 12 156.5

0 26 13 169

Answer:

No adda doesnt get free delivery

Step-by-step explanation:

Answer: A) No, the distance from the restaurant to Ada’s house is Square Root of 41 miles, which is greater than the 6-mile maximum radius.

Step-by-step explanation:

Answer:

\(S = 392\ in^2\)

Step-by-step explanation:

Step 1:  Determine important information

Using the given numbers it doesn't really matter which is which because the equation multiplies everything together.

Surface Area of a Rectangular Prism → \(S= 2(wl+hl+hw)\)

Step 2:  Plug in the values and solve

\(S = 2((12\ in * 8\ in) + (5\ in * 8\ in) + (5\ in * 12\ in))\)

\(S=2(96\ in^2 + 40\ in^2 + 60\ in^2)\)

\(S = 2(196\ in^2)\)

\(S = 392\ in^2\)

Answer: \(S = 392\ in^2\)

Explanation:

The given arithmetic sequence is of the form

a+d(n-1)

where 'a' is the first term and d is the common difference

In the case of

12+3(n-1)

we have a = 12 as our first term and d = 3 as the common difference. This means we start with 12 and add on 3 to each term to get the next one

12+3 = 15

15+3 = 18

18+3 = 21

21+3 = 24

and so on.

Side note: your teacher asks about the first four terms, but each answer choice lists five terms.

Answer : 4 is the slope

Answer:

When l = 4m , breadth is 8m

When l = 8m , breadth is 4m .

Step-by-step explanation:

Here it is given that the area of a rectangular patch is 32m² . If we assume length to be l and breadth to be b , then ;

\(\longrightarrow Area_{rectangle}=length\times breadth\\ \)

\(\longrightarrow 32m^2 = lb \dots (i) \)

Again , it's given that the perimeter is 24m .We know that perimeter of a rectangle is ,

\(\longrightarrow Perimeter = 2(l+b)\\ \)

\(\longrightarrow 24 = 2( l +b)\\ \)

\(\longrightarrow l + b = 12\dots (ii) \)

From equation (i) and (ii) , we have ;

\(\longrightarrow l + \dfrac{32}{l}=12\\\\\longrightarrow \dfrac{l^2+32}{12}=1\\\\\longrightarrow l^2+32=12l \\\\\longrightarrow l^2-12l +32=0\\\\\longrightarrow l^2-4l -8l +32=0 \\\\\longrightarrow l( l -4) -8(l-4)=0\\\\\longrightarrow(l-4)(l-8)=0 \\\\\longrightarrow \underline{\underline{ l = 4,8}} \)

Therefore , we can find breadth as,

\(\longrightarrow l + b =12\\\\\longrightarrow b = 12 - l \\\\\longrightarrow b = 12-8, 12-4\\\\\longrightarrow \underline{\underline{b = 4,8}}\)

Answer:

5.82

Step-by-step explanation:

0.582 x 10

=> Shift the decimal place by 1

=> 5.82

The required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

To determine the value of 2 in the product of 0.582 times 10.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
Product = 10 * 0.582
Product = 5.82,
Where 2 is located at the thousandth place,
So, the value of 2 in 5.82 is 0.01 times of 2.

Thus, the required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

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Answer:

30

Step-by-step explanation:

12/2= 6

5 times 6= 30

The astronaut swings the hammer in one direction, an equal and opposite force acts on the astronaut in the opposite direction.    

The astronaut swings the hammer to hammer the loose rivet back in place outside the spaceship, they will experience an equal and opposite force known as "reaction force" as described by Newton's Third Law of Motion.

This means that for every action (force) in one direction, there is an equal and opposite reaction (force) in the opposite direction.

The astronaut swings the hammer, they will experience a small amount of recoil or pushback in the opposite direction.

The magnitude of the reaction force will be equal to the force exerted by the hammer on the rivet, but in the opposite direction.

The effect of this recoil on the astronaut will depend on the mass of the astronaut and the force exerted by the hammer.

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Answer:

A, C, D

Step-by-step explanation:

Answer:

VII

Step-by-step explanation:

Answer:

y=2x-8

Step-by-step explanation:

y=mx+b

m=2

find b when y=8 and x=8

y=mx+b

8=2(8)+b

8-16=b

b=-8

the equation in y=2x-8

Answer:

A

Step-by-step explanation:

Answer:

a.

A line of credit which does not require collateral.

Step-by-step explanation:

Answer:

.095 laps per minute (if you need this answer as well 10.5 minutes per lap)

Step-by-step explanation:

(2/3)/7 =.095238 this is laps per min

7/(2/3)= 10.5 this is minutes per lap

I hope this is what you were looking for.