Which expression is shown by the model? 28 + 14 = 7 (4 + 14) 28 + 14 = 4 (7 + 2) 28 + 14 = 4 (14 + 28) 28 + 14 = 7 (4 + 2)

Based on the survey results, the proportion of people who took a trip that included a visit to a theme park is 167/1655 = 0.101. This means that approximately 10.1% of the people who took a trip included a visit to a theme park.

It is not clear what the management consultant is trying to do with this information. However, the proportion of people who took a trip that included a visit to a theme park can be used as a measure of the popularity of theme parks as a vacation destination.

It could also be used to estimate the demand for theme park tickets or to develop marketing strategies for theme parks.

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Answer: 12

Step-by-step explanation:

We have to find h so the first step is to subtract the 11 from the 20

3/4h=9

Then to move the 3/4 over to the other side, you must multiply it by it's reciprocal, 4/3.

h= 4/3 x 9

This equals 12.

The 164° and 81° located with the angle x at a point indicates that the size of the angle x is 115°

The angles that are arranged around a point add up to 360°. The angles at a point are the angles which together, produce a rotation of 360°.

The sum of angle at a point can be used to find the measure of the angle x as follows;

The addition of angles at a point = 360°

Therefore; 164° + 81° + x = 360°

Therefore; x = 360° - (164° + 81°) = 115°

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Step-by-step explanation:

7! = 5040 ways

Answer:

y=1/4x+1

Step-by-step explanation:

Answer:

m=1/4

Step-by-step explanation:

Got it correct

Answer:

  a) False

  b) True

Step-by-step explanation:

a) h(1) = 0/0, which is certainly undefined. There may or may not be a finite limit at that point, so the line x=1 is not necessarily a vertical asymptote.

The assertion that x=1 is necessarily a vertical asymptote is False.

__

b) h(2) = 4/0, another undefined value. However, we can be certain that the limit of h(x) as x → 2 is infinite, meaning the line x=2 will be a vertical asymptote.

The assertion that x=2 is necessarily a vertical asymptote is True.

_____

The graph shows a simple example of a function that has the given characteristics.

To completely solve the problem, Karim should convert the product back into standard decimal notation.

We cannot directly apply the product of powers property because the binomial is not raised to a power itself.

(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).

0.0258 × \(10^{-8\)  = 0.0258 × 0.00000001

                         = 0.000000000000258

(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.

In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.

To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.

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Answer:

(4,4)

Step-by-step explanation:

because it's right in between the school and bank therefore equal distance to both

Answer:

(6,8)

Step-by-step explanation:

the same distance from bank to school (sorry if im wrong)

In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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Answer:

AB= 156

Step-by-step explanation:

96-30 =66

A=66

66+90 = 156

Three of the isosceles triangle's angles are sharp, or less than 90 degrees. An isosceles triangle always has three angles that add up to 180 degrees.

An isosceles triangle in geometry is one with at least two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception. The characteristics of an isosceles triangle are as follows: There is agreement between two parties. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly.

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Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

The set of side measurements could be used to form a triangle is 7, 13 and 16.

If a, b and c are the sides of the triangle

Then

a+b > c

b+c > a

c+a > b

The first set of side measurements = 2, 6 and 10

2+6 > 10

8 < 10

This is not the side measurements of a triangle

The second set of side measurements = 3, 18 and 22

3+18 > 22

21 < 22

The is not the side measurements of a triangle

The third set of side measurements = 7, 13, 16

7+13 > 16

20 > 16

13+16 > 7

29 > 7

7+16 > 12

23 >12

This is the side measurements of a triangle

The fourth set of side measurements = 8, 7  and 19

8+7 > 19

15 < 19

This is not the side measurements of a triangle

Hence, the set of side measurements could be used to form a triangle is 7, 13 and 16

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Answer:

C. 7, 13, 16

Step-by-step explanation:

In order to be a triangle, the two smaller sides need to add up and be greater than the 3rd side.

In all the other sides they end up shorter:

2 + 6 = 8

8 < 10

3 + 18 = 21

21 < 22

8 + 7 = 15

15 < 19

BUT

7 + 13 = 20

20 > 16

Answer:

C) 60°

Step-by-step explanation:

Each side of the triangle is a radius of the circle.  Since all three sides are equal, it’s an equilateral triangle, so they are all 60° angles.

Answer:

After finding like terms and solving, we get \(\mathbf{3x^2+3x+16}\)

Step-by-step explanation:

We need to find like terms and simplify the expression \(4- 2x + x^2 + 5x + 12 + 2x^2\)

Like terms: The terms who have same variable and exponent are called like terms.

So, Combining like terms and solving:

\(4- 2x + x^2 + 5x + 12 + 2x^2\\=4+12-2x+5x+x^2+2x^2\\Now \ solving:\\=16+3x+3x^2\\Rearranging \ the \ terms:\\=3x^2+3x+16\)

So, after finding like terms and solving, we get \(\mathbf{3x^2+3x+16}\)

Note: In the question given we have - and + sign with the term 5x i.e 4- 2x + x^2 -+ 5x + 12 + 2x^2

I have solved using +5x, but if the term is -5x then the solution will be:

\(4- 2x + x^2 - 5x + 12 + 2x^2\\=4+12-2x-5x+x^2+2x^2\\Now \ solving:\\=16-7x+3x^2\\Rearranging \ the \ terms:\\=3x^2-7x+16\)

So, the answer will be: \(\mathbf{3x^2-7x+16}\)

Answer:

x=25/3

Step-by-step explanation:

I'm not sure if it is correct but. . .

Answer: x=25/3

Step-by-step explanation:

The correct answer is C) f(x) = 5 cos 2/3 x, as it has an amplitude of 5 and a period of π/3. To determine which function has an amplitude of 5 and a period of π/3, we need to analyze the properties of the trigonometric functions presented in the options.

The general form of a cosine function is f(x) = A cos(Bx), where A represents the amplitude and B represents the frequency or period of the function.

Option A) f(x) = 5 cos 6x: This function has an amplitude of 5, but its period is 2π/6, which is not equal to π/3. So, this option is not the correct answer.

Option B) f(x) = 1/5 cos 6x: This function has an amplitude of 1/5, which is not 5 as required. Therefore, this option is not the correct answer.

Option C) f(x) = 5 cos 2/3 x: This function has an amplitude of 5, which matches the given condition. Moreover, its period is 2π/((2/3)x) = π/3, which is the desired period. Hence, this option satisfies both conditions.

Option D) f(x) = 3 cos 5x: This function has an amplitude of 3, which is not 5 as required. Thus, this option is not the correct answer.

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Answer:

with what?

Step-by-step explanation:

I think you forgot to attach something.

Answer: y>0

Step-by-step explanation:

Let's look at the graph. If we do the vertical line test, we can figure out that YES, it is a function, so option b and c are already out of the picture.

Now, to find the domain, look at the graph and shade it back to the x-axis. The domain includes every number greater than 3, so the domain is x>3.

To find the range, take a look at the graph and shade it back to the y-axis. The range includes every real number greater than 0, so the range is y>0

This means that d is the answer.

I really hope this helps!

Best wishes :)

Answer:

D

Step-by-step explanation:

The domain of a function is the span of x-values it covers, while the range of a function is the span of y-values it covers.

DOMAIN:

We can see that the graph covers all x-values to the right of x=-3.

However, at exactly x=-3, the graph goes upwards infinitely. So, we say that there is a vertical asymptote at x=-3. Therefore, x=-3 is not included in our domain.

So, our domain is only all values greater than -3.

As an inequality, this is:

\(x>-3\)

RANGE:

We can see that the graph covers all y-values until y=0.

At y=0, we have a horizontal asymptote.

Therefore, our y-values will never touch y=0.

So, our range are all values greater than 0.

In an inequality, this is:

\(y>0\)

To determine if a function is a function, we can use the vertical line test.

If we draw a vertical line anywhere on the graph, it should not cross the graph more than once.

We can see that no matter where we draw our vertical line, it will only cross the graph once. This may be hard to see with the vertical asymptote, but the vertical asymptote will never be completely vertical despite its name.

So, this is indeed a function.

The answer choices that reflects these answers is D.

So, our answer is D.

And we're done!

the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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Answer:

48 cups of water

Step-by-step explanation:

Using the provided ratio of 6:5.5...

if 6:5.5

then

48:44

The total number of students who graduated from the Cincinnati universities and colleges are 15382.

We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.

The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.

We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.

Let the total number of students be x.

ATQ:

6.67 % x = 1026

6.67 x = 102600

667 x = 10260000

x = 10260000 / 667

x = 15382.309

Rounding off to the nearest whole number is:

x = 15382.

Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.

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First we rewrite

\(\dfrac{1 + \cos(4x)}{\cos(x)} = 2\cos^2(2x)\)

then expand the integrand as

\(\displaystyle \ln^2(2) - 2 \ln(2) x^2 + x^4 \\\\ {} + 2\ln(2) \ln(\cos^2(2x)) - 2\ln(2) \ln(\cos(x)) - 2x^2 \ln(\cos^2(2x) + 2x^2 \ln(\cos(2x)) \\\\ {} + \ln^2(\cos^2(2x)) + \ln^2(\cos(x)) - 2 \ln(\cos(x)) \ln(\cos^2(2x))\)

We'll use the following identity:

\(\displaystyle \cos(2kx) = \frac{e^{i2kx} + e^{-i2kx}}2 \\\\ \sum_{k=1}^\infty \frac{\cos(2kx)}k = \frac12 \left(\sum_{k=1}^\infty \frac{(e^{i2x})^k}k + \frac{(e^{-i2x})^k}k\right) \\\\ \sum_{k=1}^\infty \frac{\cos(2kx)}k = -\frac12 \left(\ln(1-e^{i2kx}) + \ln(1 - e^{-i2kx})\right) \\\\ \implies \ln(\sin(x)) = -\ln(2) - \sum_{k=1}^\infty \frac{\cos(2kx)}k\)

as well as the fact that for any integer n,

\(\displaystyle \int_0^{\frac\pi2} \cos(2nx) \, dx = 0\)

Consult the attachments for the integrals of the non-trivial terms.

Putting everything together, the end result is then

\(\displaystyle \int_0^{\frac\pi2} \ln^2\left(\frac{e^{-x^2}}{\cos(x)}(1+\cos(4x))\right) \, dx \\\\ = \boxed{\frac{\pi^5}{160} + \frac{\pi^3}4 - \frac{11\pi}{16} \zeta(3)}\)

Answer:

Marginal Cost=Change in Total Cost/Change in Total Quantity

Step-by-step explanation:

Marginal cost is calculated by dividing the change in total cost by the change in quantity. Let us say that Business A is producing 100 units at a cost of £100. The business then produces at additional 100 units at a cost of £90. So the marginal cost would be the change in total cost, which is £90. Divided by the change in quantity, which is the additional 100 units. That gives us: £90/100, which equals £0.90 per unit as the marginal cost.

Answer:

C.

volume of cone 2

volume of prism 3

OD.

Step-by-step explanation:

Answer:

I just took the test and the correct option is B.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+17=3x-4(alternate angles)

21=x

3x-10+2x+30=180(linear pair)

5x+20=180

5x=160

x=32

Answer:

Step-by-step explanation:

The lateral surface area of the pyramid can be found using the formula for the area of an equilateral triangle:

A = (s^2 * √3) / 4

where s is the length of one side of the equilateral triangle base.

For this pyramid, s = 50 feet

A = (50^2 * √3) / 4 = (2500 * √3) / 4 = 1250 * √3 ≈ 2129.28 ft^2

The total surface area of the pyramid can be found by adding the area of the base to the area of the lateral surface:

A = base area + lateral surface area

A = (side length^2 * √3) / 4 + (3 * triangle area)

A = (50^2 * √3) / 4 + (3 * (50^2 * √3) / 4)

A = 2500 * √3 + 3750 * √3 ≈ 5884.28 ft^2

To paint 75% of the pyramid, the painter needs to paint 75% * 5884.28 ft^2 = 4413.71 ft^2

Since the painter can paint 100 ft^2 in 18 minutes, he can paint 4413.71 ft^2 in 4413.71 / 100 * 18 minutes ≈ 786.96667 minutes

Rounding to the nearest tenth, the painter will take 786.967 minutes to paint 75% of the pyramid, which is approximately 13.1 hours.