11) Use a linear approximation (or differentials) to estimate the given number. (2.001)^5

Answer:

Answer is 11.046

Explanation :

The formula is pie × r² × height

If you don't understand.. Lemme know ya

We can estimate with 95% confidence that the difference between the average yearly incomes of marketing managers in the East and West is between $9,870 and $130.

a. To develop an interval estimate for the difference between the average yearly incomes of marketing managers in the East and West, we can use the two-sample t-test. Here are the steps:

Calculate the pooled standard deviation:

Sp = sqrt[((n1-1)s1^2 + (n2-1)s2^2)/(n1+n2-2)]

Sp = sqrt[((40-1)6^2 + (45-1)8^2)/(40+45-2)]

Sp = 7.054

Calculate the standard error:

SE = Spsqrt(1/n1 + 1/n2)

SE = 7.054sqrt(1/40 + 1/45)

SE = 2.299

Calculate the t-value:

t = (x1 - x2) / SE

t = (72 - 78) / 2.299

t = -2.61

Calculate the confidence interval:

CI = (x1 - x2) ± t(α/2, df)*SE

CI = (72 - 78) ± t(0.025, 83)*2.299

CI = (-9.87, -0.13)

Therefore, we can estimate with 95% confidence that the difference between the average yearly incomes of marketing managers in the East and West is between $9,870 and $130.

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Answer:

2 LINES OF SYMMETRY

Step-by-step explanation:

Answer:

42 ft²

Step-by-step explanation:

You need the total surface area of the box which is shaped like a rectangular prism.

surface area = area of bases + lateral area

Let length = 3 ft, width = 2 ft, height = 3 ft.

The base is a rectangle 3 ft by 2 ft.

The perimeter of the base is 2(3 ft + 2 ft) = 10 ft

The lateral area is (perimeter of the base) × height = 10 ft × 3 ft = 30 ft²

The area of the two bases is 2 × (3 ft × 2 ft) = 12 ft²

The total surface area is 30 ft² + 12 ft² = 42 ft²

Answer:

10 miles long

Step-by-step explanation:

The length of the circular trail is calculated as: 10 miles.

We are told that Arthur walked around a circular trail twice in a total of 4.5 hrs.

Thus, he completed two full loops around the circular trail. Let's call the distance of the trail "d" (in miles) and the time it took for the first loop "t1" hours, and the time it took for the second loop "t2" hours.

So, we have:

t₁ + t₂ = 4.5

He walked the circle at 4 mph the first time and at 5 mph the second time.

The distance traveled is given by the formula:

Distance = Speed × Time.

For the first loop:

d = 4t₁

For the second loop:

d = 5t₂

From Equation 2 and Equation 3, we can set up an equation relating t₁ and t2:

4t₁ = 5t₂

Now, we can solve for t₁ in terms of t₂:

t₁ = (5/4)t₂

Substitute this value of t1 into Equation 1:

(5/4)t₂ + t₂ = 4.5

Combine the terms:

(9/4)t₂ = 4.5

Now, solve for t₂:

t₂ = (4.5 * 4) / 9

t₂ = 2

Now that we have the value of t₂, we can find t₁ using the equation

t₁ = (5/4)t₂

t₁  = (5/4) * 2

t₁  = 2.5

Now we can find the length of the trail using either Equation 2 or Equation 3:

d = 4t₁

d = 4 * 2.5

d = 10

So, the length of the circular trail is 10 miles.

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Answer:

It would be (rounded up) 32.92.   (not rounded up) 32.91666667

Step-by-step explanation:

Answer:

y= -8x

Step-by-step explanation:

theirs no b because it goes through (0,0)

to find slope you do 800-(-800) over -100-100

hope this helps:)

Answer:

$1.49

Step-by-step explanation:

17.88/12 = 1.49

Answer:

each eraser cost $1.49

Step-by-step explanation:

take how much it cost 17.88

divide by how much you have 12

get how much one unit or 1 of what you have

17.88/12=1.49

Answer:

If you want to be a successful student, read below! :)

Step-by-step explanation:

First, listen to the teacher.

Second, don't be late.

Third, don't talk back.

Fourth, don't be disrespectful.

Fifth, don't cause commotions on purpose.

Sixth, do your assignments/tests/quizzes on time

If your teacher is normal, then these tips should help, I am the top student in my class and this is what I do.

Hope this helped!

Answer:

I hope this helps!

The point (x, y) is located in Quadrant III when x > 0 and y < 0. It does not belong to any other quadrant.

In a Cartesian coordinate system, the x-axis represents the horizontal axis, and the y-axis represents the vertical axis. The quadrants are divided based on the signs of the x and y coordinates.

Quadrant I is located in the upper right portion of the coordinate plane, where both x and y are positive. Quadrant II is in the upper left portion, where x is negative and y is positive. Quadrant III is in the lower left portion, where both x and y are negative. Quadrant IV is in the lower right portion, where x is positive and y is negative.    

Given the condition x > 0 and y < 0, we know that x is positive (greater than 0) and y is negative (less than 0). Therefore, the point (x, y) satisfies the conditions for being located in Quadrant III. It does not fulfill the criteria for any other quadrant since either the x-coordinate or the y-coordinate is not consistent with their signs in the other quadrants.

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Answer:

D

Step-by-step explanation:

Answer:

D. (6, 9)

Step-by-step explanation:

B(2, 3) → B'(6, 9)

multiply by 3

Answer:

5n - 27

n

5 because you minus 5 each time

27 because 32-5=27

(5×50) -27=

223

Step-by-step explanation:

The coordinates of the points are P1(2, 2) and P2(10, 2). The distance d between these two points are given by

\(d = \sqrt{ {(x\frac{}{2} - x\frac{}{1} ) }^{2} + ({y\frac{}{2} - y\frac{}{1}) }^{2} } \\ = \sqrt{ ({10 - 2})^{2} +( {2 - 2)}^{2}} \\ = 8\)

Answer:

60%

Step-by-step explanation:

The expression with a value of 12 and containing four numbers and two different operations are 2 × 2 + 4 + 4 = 12.

To write an expression with a value = 12 it should contain four numbers and two different operations, we can use the following method:

Firstly, multiplying :

2 × 2 = 4                   -----1

secondly, adding:

4 + 4 = 8                   -----2

finally, adding 1 and 2 we get,

4 + 8 = 12

Therefore, the expression with a value of 12 containing four numbers and two different operations is 2 × 2 + 4 + 4 = 12.

Another example is 35 ÷ 5 + 10 ÷ 2 = 12.#

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Answer:

He can reduce advertisement expenses

Step-by-step explanation:

Answer:

it will travel 8 minutes

Step-by-step explanation:

Answer:

\(\frac{2}{15}\) feet

Step-by-step explanation:

I hope this helps!

We count the total number of possibilities for the area codes in the next manner:

1. For the first digit of the codes, we have six options, these are; 3,4,5,6,7,8

2. For the second digit of the codes, three options\; 2,3,4

3. For the third digit of the codes with can put any digit number except 6,7 or 8, that restriction let us the following possibilities:0,1,2,3,4,5,9

We will use the multiplicative rule to count the total number of possible codes with this restrictions, that is we will apply a rule of the form:

In our the specific case

Therefore, we conclude that with these restriction, the total number of codes is 126

Answer:

I can't see it

Step-by-step explanation:

you should zoom in a little bit please

Answer:

a^13

Step-by-step explanation:

Multiply  a ^3  by  a ^10  by adding the exponents together.

Answer:

Step-by-step explanation:

given

first term(a)=4

last term (l)=(5n-1)

now

\(S_{n}\)=\(\frac{n}{2}\)(a+l)

\(\frac{n(3+5n)}{2}\)=\(\frac{n}{2}\)(a+l)

\(\frac{n(3+5n)}{2}\)=\(\frac{n}{2}\)(4+5n-1)

\(\frac{n(3+5n)}{2}\)=\(\frac{n}{2}\)(5n+3)

\(\frac{n(3+5n)}{2}\)=\(\frac{n(3+5n)}{2}\) true

Answer:

x = 19

Step-by-step explanation:

Since they are supplementary, that means they all add up to 180°

So, 5x + 4 + x - 2 + 3x + 7 = 180

Step 1: Add the numbers

5x + 4 + x - 2 + 3x + 7 = 180

5x + 9 + x + 3x = 180

Step 2: Combine like terms

5x + 9 + x + 3x = 180

9x + 9 = 180

Step 3: Subtract 9 from both sides of the equation

9x + 9 = 180

9x + 9 - 9 = 180 - 9

9x = 171

x = 19

Solution:

x = 19

hope this helps and is right!! p.s. i really need brainliest :)

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

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The distance of the given point P from the plane would be \(\frac{-1}{\sqrt{6}}, \frac{-5}{\sqrt{6}},and, \frac{2}{\sqrt{6}}.\)

What is a plane?

A plane is a two-dimensional Euclidean surface that extends indefinitely in mathematics. A plane is a two-dimensional equivalent of a point, a line, and a three-dimensional space.

The given point P is P(-2, -1, 1) and the plane coordinates are [4, -1, 6].

Then the distance will be

                                \(= \frac{-2.4+(-1*-1)+1.6}{\sqrt{(-2)^2+(-1)^2+1^2}}\\\\ =\frac{-1}{\sqrt{6} }\)

Now the distance of a point P from the plane t[1, 6, 3]

                                  \(= \frac{-2.1+(-1*6)+1.3}{\sqrt{(-2)^2+(-1)^2+1^2}}\\\\ =\frac{-5}{\sqrt{6} }\)

Now the distance of a point P from the plane [-2, 3, 1]

                                   \(= \frac{-2.-2+(-1*3)+1.1}{\sqrt{(-2)^2+(-1)^2+1^2}}\\\\ =\frac{2}{\sqrt{6} }\)

hence, the distance would be \(\frac{-1}{\sqrt{6}}, \frac{-5}{\sqrt{6}},and, \frac{2}{\sqrt{6}}.\)

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The number of hours Hamal works is represented as x.

Since we need to find the amount Hamal is earning per hour (or in an hour), we replace x as 1 (for 1 hour)

Now, we get the equation : y = 10 x 1 + 50.

Since y represents the amount of money he earns, we need to find y when x = 1, or the equation above.
-> y = 60.

Therefore, Hamal earns 60 (dollars?) per hour.

The correct statement about the congruent figures is,

⇒ a reflection across the x-axis, followed by a translation 3 units to the right.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

Three congruent figures are shown in the coordinate plane.

Now, From figure A and figure B,

Figure B is reflection across the x-axis, followed by a translation 3 units to the right across the figure A.

Thus, The correct statement about the congruent figures is,

⇒ a reflection across the x-axis, followed by a translation 3 units to the right.

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