f(x) = (x -2) +4 Given: g(x) = (x - 5)2 + 4 When compared to the graph of f(x), the graph of g(x) is (1) shifted 3 units to the left (3) shifted 5 units to the left (2) shifted 3 units to the right (4) shifted 5 units to the right

Answer:

[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty)[/tex]

General Formulas and Concepts:

Pre-Calculus

Calculus

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx[/tex]

Step 2: Integrate

Since we are dealing with infinity of functions, we can do a numerous amount of things:

∴  [tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty) \ or \ \text{unde}\text{fined}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Improper Integrals

Book: College Calculus 10e

Answer:

The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Center (0, -3)

This means that [tex]x_0 = 0, y_0 = -3[/tex]

Radius square root of 11

This means that [tex]r = \sqrt{11}[/tex]

Equation of the circle:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - 0)^2 + (y - (-3))^2 = (\sqrt{11})^2[/tex]

[tex]x^2 + (y + 3)^2 = 11[/tex]

The equation of the circle is [tex]x^2 + (y + 3)^2 = 11[/tex]

Answer:

Step-by-step explanation:

Solution :-

we know that,

Area of a ∆ with sides a, b , c and semi- perimeter s is √[s * (s - a) * (s - b) * (s - c)] .

semi - perimeter = (a + b + c)/2 .

given sides of triangular field are 55m, 300m and 300m..

So,

→ s = (55 + 300 + 300) / 2 = 327.5m.

Than,

→ Area of triangular field = √[327.5 * (327.5 - 55) * (327.5 - 300) * (327.5 - 300)] = √[327.5 * 272.5 * 27.5 * 27.5] = 27.5√(327.5 * 272.5) = 27.5 * 298 = 8195 m².

Now given that,

→ Area of triangular field = (7/15)th area of circular park.

So,

→ 8195 = (7/15) * Area of circular park.

→ (8195 * 15)/7 = Area of circular park.

→ Area of circular park = 17560.7 m².

Therefore,

→ πr² = 17560.7

→ (22/7) * r² = 17560.7

→ r² = (17560.7 * 7) / 22

→ r = 74.74 m.

Hence,

→ Perimeter of the circular Park = 2πr = 2 * (22/7) * 74.74 = (3288.56)/7 = 469.8m. (Ans.)

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Confounding variable

Step-by-step explanation:

Confounding variables also known as lurking or third variable are varibeks which causes an unwanted or spurious association between an independent and dependent variable. This Confounding variable usually has a relationship between not the independent and dependent variable and if not adequately managed or corrected for, they may cause a relationship which is not intended thereby interfering with the outcome of our research. Such is the correlation between ice cream sale and murder rate.

Answer: left 7 units, up 4 units, and vertical compression

Step-by-step explanation:

Given

The function is [tex]y=x^2[/tex]

First shift it to the left by 7 units, so the function becomes

[tex]y=(x+7)^2[/tex]

Now compress it to make it one-third

[tex]y=\dfrac{1}{3}(x+7)^2[/tex]

Now, sift the graph upward by 4 units

[tex]y=\dfrac{1}{3}(x+7)^2+4[/tex]

Thus , the conditions are left 7 units, up 4 units, and vertical compression.

Answer:

A is the correct point;)

Answer:

5.9 years.

Step-by-step explanation:

Central Limit Theorem

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

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

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

Mean of the population is [tex]\mu = 5.9[/tex]

If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means?

By the Central Limit Theorem, the same population mean, of 5.9 years.

9514 1404 393

Answer:

  1 7 21 35 35 21 7 1

Step-by-step explanation:

Numbering from k=0 to k=7, the k-th coefficient in the row is ...

  C(7, k) = 7!/(k!(7-k)!)

You know the first two in row 7 are 1 and 7. There are 8 in the row, and the row is the same forward and backward. This means you only need to find C(7, 2) and C(7, 3). These are ...

  C(7, 2) = 7!/(2!(5!)) = 7·6/(2·1) = 21

  C(7, 3) = 7!/(3!(4!)) = 7·6·5/(3·2·1) = 35

So, row 7 is ...

  1, 7, 21, 35, 35, 21, 7, 1

Answer:

Q2 and Q4

Step-by-step explanation:

Trigonometric functions and quadrants:

In x is in the first quadrant, cos(x) > 0 and sin(x) > 0.

In x is in the second quadrant, cos(x) < 0 and sin(x) > 0.

In x is in the third quadrant, cos(x) < 0 and sin(x) < 0.

In x is in the fourth quadrant, cos(x) > 0 and sin(x) < 0.

Cotangent:

The cotangent is the cosine divided by the sine.

Cotangent negative, which quadrants?

It is negative when sine and cosine have opposite signals. So in the second and the fourth quadrant, that is, Q2 and Q4.

Answer:

61.2%

Step-by-step explanation:

Let's start by finding the total area of the circle

it says that the radius is 4 so the total area is 16π

Then let's find the area of the traingle

The hieght is 6.5 and the base is 6

.5*6.5*6=19.5

Let's then find the white area

16π-19.5=30.765

Finally we just have to do (30.765/16π)= 61.2%

Answer:

21

Step-by-step explanation:

The smallest number that can go into both 3 and 7 as our denominators is 21. This can be worked about by multiplying them together.

(FYI: In some cases, if the product is even, it may not always work to multiply them together)

Answer:

21

hope this helps

have a good day :)

Step-by-step explanation:

3 multiples are 3, 6, 9, 12, 15, 18, 21, 24

7 multiples are 7, 14, 21, 28

so would need to change both denominators to 21 and multiple 7 and to 1/3 to get 7/21 and 3 to 4/7 to get 12/21

Answer:

yes. The central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Step-by-step explanation:

In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n > 30, the distribution of the sample mean can be modeled by a normal distribution.  

The answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

Option (B) is correct.

It is required to find  the appropriate to model the distribution of the sample.

science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.

Given that:

A local steakhouse served 625 customers over a weekend.

The average cost of each customer's food purchase is 52 dollars, with a standard deviation of 17 dollars. random sample of 315 customers are selected from the weekend's customers.

In order for the distribution of the sample mean to be normal, the sample size, n, must be large enough. By the central limit theorem, if n &gt; 30, the distribution of the sample mean can be modeled by a normal distribution.

So, the answer is yes the central limit theorem states that the sampling distribution of a sample mean can be modeled by a normal model, regardless of the shape of the population distribution.

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Answer:

pls provide with a graph

Answer:

-5, -1/2

Step-by-step explanation:

I could only show half of the steps, but you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps.

Answer:

The perimeter is 35 units

Step-by-step explanation:

Given

The attached shape

Required

The perimeter of the shape

From the shape, we have:

[tex]AB = 11[/tex]

[tex]AD = 8[/tex]

[tex]BD = AD = 8[/tex] --- sides of an isosceles

Also:

[tex]BC = DC = BD = 8[/tex] --- sides of an equilateral

So, the perimeter (P) is:

[tex]P = AB + BC + DC + AD[/tex]

[tex]P = 11 + 8 + 8 + 8[/tex]

[tex]P = 35[/tex]

Properties of Isosceles triangles

2 sides are equal

2 angles are equal

Properties of equilateral triangles

All sides are equal

All angles are equal

Answer:I believe it is -4

Step-by-step explanation:

Step-by-step explanation:

tan 0 = 5/ √11 = 5√11 /11

__________

Answer:

5 / √11

Step-by-step explanation:

tan θ = opposite side / adjacent side

tan θ = 5 / √11

Answer:

1) 1:04 am

2) 6:22 pm

3) 6:42 pm

4) 1:30 pm

5) 12:40 pm

6) 5:35 pm

7) 3:24am

8) 11:25 am

9) 6:42 am

10) 9:20 am

Answer:

[tex](y+4)^2 = -8(x+2)[/tex], option D.

Step-by-step explanation:

Equation of a parabola:

The equation of a parabola has the following format:

[tex](y - k)^2 = 4p(x-h)[/tex]

In which the center is (h,k) and the focus is (h+p,k).

Vertex (-2,-4)

This means that [tex]h = -2, k = -4[/tex]

So

[tex](y - k)^2 = 4p(x-h)[/tex]

[tex](y - (-4))^2 = 4p(x-(-2))[/tex]

[tex](y+4)^2 = 4p(x+2)[/tex]

Vertex (-2,-4)

Focus (-4,-4)

-4 - (-2) = -4 + 2 = -2

So p = -2 and

[tex](y+4)^2 = 4(-2)(x+2)[/tex]

[tex](y+4)^2 = -8(x+2)[/tex], option D.

Answer:

(y+4)2=−8(x+2) 

The answer would be D.

The sequence of transformations carries ABCD onto HGFE Reflection across the x-axis means a change in y,(-6,-1) to (-6, 1)

We have given that,

A,B,C,D

We have to determine the sequence of transformations that carries ABCD onto HGFE.

A sequence of transformations is a specific order of transformation events. This means that a sequence of transformations is handling more than one transformation and it matters in what order they occur.

look at top left coordinate (2,-1)

Eight units left = (2-8,-1) = (-6,-1)

Therefore the reflection across x-axis means change in y

(-6,-1) to (-6, 1).

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Answer:

Step-by-step explanation:

Given numbers : 2 , 6, 18, 54

Since common ration between numbers,

[tex]common \ ratio \ in \ GP , \ r = \frac{a_n}{a_{n-1}} = \frac{6}{2} = 3[/tex]

So the numbers are in GP.

Now Sum of the numbers = 2 + 6 + 18 + 54 = 80

AM, arithmetic mean between first and last number :

                                                                             [tex]\frac{54+2}{2} = \frac{56}{2} =28[/tex]

All the conditions are true.

Answer:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Step-by-step explanation:

Independent events:

If two events, A and B are independent, the probability of both A and B happening is the same as the probability of A happening multiplied by the probability of B happenings, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this question:

The statement is [tex]P(A \cap B) = P(A)P(B)[/tex]

Answer:

65 degrees

Step-by-step explanation:

Since it is given that AB=DC

then we know that AO=DO and BO=CO because it is the radius of a same circle.

Hence the shapes are equal and thus DOC=65 degree as it serves as a corresponding angle to AOB

9514 1404 393

Answer:

  C.  x < 0

Step-by-step explanation:

The curve opens downward and has its vertex is at x=0, so the largest increasing interval will be the one that has its right end at x = 0⁻.

  x < 0

Answer:

C. x<0

Step-by-step explanation:

The underlying vector field,

F(x, y) = -y/(4x ² + 9y ²) i + x/(4x ² + 9y ²) j,

is conservative, so any integral of F over a closed path is 0.

To establish that F is conservative, we want to find a scalar function f(x, y) whose gradient is equal to F(x, y), which entails solving

[tex]\dfrac{\partial f}{\partial x}=-\dfrac y{4x^2+9y^2}[/tex]

[tex]\dfrac{\partial f}{\partial y}=\dfrac x{4x^2+9y^2}[/tex]

Integrating the first equation with respect to x yields

[tex]f(x,y)=-\dfrac16\arctan\left(\dfrac{2x}{3y}\right)+g(y)[/tex]

and differentiating with respect to y gives

[tex]\dfrac x{4x^2+9y^2}=\dfrac x{4x^2+9y^2}+\dfrac{\mathrm dg}{\mathrm dy} \implies \dfrac{\mathrm dg}{\mathrm dy}=0 \implies g(y)=C[/tex]

Answer:

Step-by-step explanation:

4^-3

=1/4^3

=1/64

Answer:

[tex]\frac{1}{64}[/tex]

Step-by-step explanation:

[tex]4^{-3} = 0.015625[/tex]

[tex]0.015625 = \frac{1}{64}[/tex]

Answer:

2.83 meters

Step-by-step explanation:

Change 217 cm to meter

217 * 1 m/ 100 cm = 2.17 m

5 meter - 2.17 m = 2.83 meters

Answer:

283 cm Or 2.83 m of cloths remaining after cutting.

Step-by-step explanation:

As we know that

1 m = 100 cm

so, 5 m = 5 × 100 = 500 cm

Subtract 217 cm from 500 cm

➛ 500 - 217

➛ 283 cm Or 2.83 m