In which set(s) of numbers would you find the number-6

Answer:

g(X)=3(2^x)

Step-by-step explanation:

The solution of the given expression will be 9/16.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²

= [-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²

= 9/16

Hence, The solution of the given expression will be 9/16.

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I believe it's 55 degrees, I'm sorry if I'm wrong, though.

Answer:

C. 125

Step-by-step explanation:

Angles 2 and 6 are corresponding angles. Therefore, they are equal.

Then angles 6 and 7 are opposite diagonal angles. They are also equal.

Answer:

a) n2+ 3

So, first term is (1)²+3=4

Second term is (2)²+3=7

Third term is (3)²+3=12

Fouth term is (4)²+4=20

b) 2n2

So, first term is (1)²+2=3

Second term is (2)²+2=6

Third term is (3)²+2=11

Fouth term is (4)²+2=18

Answer:

( a )

First 4 terms are 4,7,12,19 and the 10th term is 103.

( b )

First 4 terms are 2,8,18,32 and the 10th term is 200.

Step-by-step explanation:

We are given both general term of sequence:

\( \displaystyle \large{ (a) \: \: \: {n}^{2} + 3} \\ \displaystyle \large{ (b) \: \: \: 2{n}^{2}}\)

Let's get to the first sequence.

( a )

We are given:-

\( \displaystyle \large{ {n}^{2} + 3} \)

To find first 4 terms, substitute n = 1,2,3,4 in.

Therefore:-

\( \displaystyle \large{ {1}^{2} + 3 = 4} \\ \displaystyle \large{ {2}^{2} + 3 = 4 + 3 = 7} \\ \displaystyle \large{ {3}^{2} + 3 = 9 + 3 = 12} \\ \displaystyle \large{ {4}^{2} + 3 = 16 + 3 = 19} \)

Therefore, first 4 terms are 4,7,12,19.

Next, to find the 10th term, just substitute n = 10.

\( \displaystyle \large{ {10}^{2} + 3 = 100 + 3 = 103} \)

And we're done for part a!

( b )

We are given:-

\( \displaystyle \large{ 2{n}^{2}}\)

Do the same, substitute n = 1,2,3,4 in.

\( \displaystyle \large{ 2({1})^{2} = 2} \\ \displaystyle \large{ 2({2})^{2} = 2(4) = 8} \\ \displaystyle \large{ 2({3})^{2} = 2(9) = 18} \\ \displaystyle \large{ 2({4})^{2} = 2(16) = 32}\)

Therefore, first 4 terms are 2,8,18,32.

Next, find the 10th term, substitute n = 10 in.

\( \displaystyle \large{ 2{(10)}^{2} = 2(100) = 200} \)

Thus, the 10th term is 200.

Answer:

The correct answer is B. George’s computer is expected to have a value of $25 greater.

Step-by-step explanation:

Since Chelsea bought a computer on Monday for $ 1,300, and its value is predicted to decrease by $ 250 per year, while her brother George also bought a computer on Monday, and the function g (x) = 1,100 - 175x predicts how the value of his computer is expected to change after x years, to determine whose computer is expected to have a greater value when it is 3 years old, and how much greater will it be, the following calculation must be performed:

Chelsea:

1,300 - (250 x 3) = X

1,300 - 750 = X

550 = X

George:

1,100 - (175 x 3) = X

1,100 - 525 = X

575 = X

Therefore, George’s computer is expected to have a value of $ 25 greater.

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

sea level is 0 and below sea level would have to be a negative and you would takr the number of feet below sea level and that would be your answer in this case its -6

(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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Answer:idk

Step-by-step explanation:idk

Answer:

Zero

Step-by-step explanation:

The grade percentage level would be zero therefore the slope is zero.

Answer:

8 cookies were left after the bake sale. 72 were sold.

Step-by-step explanation:

64*1.25= 80

80*.9= 72

8

125% of 64 is equal to 80.

90% of 80 is equal to 72.

The number left was 10% of the number he made. The number he made was 125% of 64, so the number left was 8

 10% × 125% × 64 = 0.125 × 64 = 8

thats all i could really come up with at the top of my head

Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

Answer:

x=5

Step-by-step explanation:

I was working on this problem also.

Maybe my version will help, too.

You need to sketch f given the information you have.

f'(x) is approximately a a cubic polynomial which means f will look like a quartic (think W)

f slopes down (negative slope) to x=2 and then slopes down again...this is a horizontal tangent.

f then slopes down to to x=5 where is has a minimum and then slopes up.

if im not wrong

Answer:

Equation: y =  \(\frac{1}{5}\)x - 1

Slope: \(\frac{1}{5}\)

Y-intercept: -1

Step-by-step explanation:

Point 1: (0, -1) or (\(x_{1}\), \(y_{1}\))

Point 2: (5, 0) or (\(x_{2}\), \(y_{2}\))

Slope:

\(y_{2}\) - \(y_{1}\) / \(x_{2}\) - \(x_{1}\)

0 - (-1) / 5 - 0

\(\frac{1}{5}\) = m

Equation:

y - \(y_{1}\) = m (x - \(x_{1}\))

y - (-1) = \(\frac{1}{5}\) (x - 0)

y + 1 =  \(\frac{1}{5}\)x

y =  \(\frac{1}{5}\)x - 1

Y-intercept:

-1

The correct option for the given sum is option B. The point (2,-9) paired with (2, 3), will make a side equal to this length.

Let the other point of the pentagon will be M(n, o).

The given point be A (a, b)

Also given one of the sides of a pentagon has length 12.

Now, we need to find the distance between the two points,

Distance between two points: |AM| = √\((a-n)^2+(b-o)^2\)

Now,

\(12 = \sqrt{(2-n)^2+(3-o)^2}\)

\((12)^2\) = \((2-n)^2+(3-o)^2\)

\((2-n)^2+(3-o)^2\) = 144 ----------------------------- eq (1)

Now, check every point for the values to match with equation (1)

Option A: \((2-14)^2+(3-15)^2\) = 288. So the option is false.

Option B:

\((2-2)^2+(3-(-9))^2\) =114

0+114 =114

Therefore option B is correct. The other point is (2,-9).

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Answer:

x = 2

Step-by-step explanation:

8 = 6x + -2x

8 = 4x

8 = 4x

4 4

2 = x

The function of the amount of money is an illustration of an exponential function

The initial balance of the investment is $700, and the rate is 83.53%

The function of the amount of money in the investment is given as:

\(A(t) = 700(0.8353)^t\)

The above function is an exponential function, and an exponential function is represented as:

\(A(t) = ab^t\)

Where:

a represents the initial value, and b represents the rate.

By comparison, we have:

a = 700

b = 0.8353 = 83.53%

Hence, the initial balance of the investment is $700, and the rate is 83.53%

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Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represent the smaller integer.

Let y represent the larger integer.

A positive integer is 2 less than another. It means that

y = x + 2

If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 11/15, it means that

1/x + 2/y = 11/15- - - - - - - - - - 1

Substituting y = x + 2 into equation 1, it becomes

1/x + 2/(x + 2) = 11/15

Considering the left hand side of the equation, it becomes

(x + 2 + 2x)/x(x + 2)

Therefore,

(3x + 2)/(x² + 2x) = 11/15

Cross multiplying, it becomes

15(3x + 2) = 11(x² + 2x)

45x + 30 = 11x² + 22x

11x² + 22x - 45x - 30 = 0

11x² - 23x - 30 = 0

11x² + 10x - 33x - 30 = 0

x(11x + 10) - 3(11 + 10) =℅0

(x - 3)(11x + 10) = 0

x - 3 = 0 or 11x + 10 = 0

x = 3 or x = - 10/11

Since it us a positive integer, the smaller integer is 3 and the larger integer is 3 + 2 = 5

Answer: Let x represent the smaller integer.Let y represent the larger integer.A positive integer is 2 less than another. It means that y = x + 2 If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 11/15, it means that 1/x + 2/y = 11/15- - - - - - - - - - 1Substituting y = x + 2 into equation 1, it becomes 1/x + 2/(x + 2) = 11/15Considering the left hand side of the equation, it becomes(x + 2 + 2x)/x(x + 2) Therefore,(3x + 2)/(x² + 2x) = 11/15Cross multiplying, it becomes15(3x + 2) = 11(x² + 2x)45x + 30 = 11x² + 22x11x² + 22x - 45x - 30 = 011x² - 23x - 30 = 011x² + 10x - 33x - 30 = 0x(11x + 10) - 3(11 + 10) =℅0(x - 3)(11x + 10) = 0x - 3 = 0 or 11x + 10 = 0x = 3 or x = - 10/11Since it us a positive integer, the smaller integer is 3 and the larger integer is 3 + 2 = 5

Step-by-step explanation:

Answer:

sqrt28, 32/7, cubrt58

Step-by-step explanation:

It says to order "greatest to least" so that means the biggest number goes first, then smaller next, and the smallest goes last.

sqrt25 is 5 and sqrt28 would be a little bigger, so 5.something. (you can find exactly on a calculator, but we don't need exact)

28/7 is 4 and 35/7 is 5. So 32/7 is in between, so like 4.something.

cuberoot27 is 3 and cuberoot64 is 4. So cuberoot58 is in between, it is 3.something.

So in order from big to small is

5...

4...

3...

which is

sqrt28,

32/7

cubrt58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

It is the order of the numbers in which the biggest number comes first and then followed by the next number and then the last number will be the smallest one.

Order cube root of fifty-eight, thirty-two over seven, square root of twenty-eight from greatest to least.

∛58, 32/7, and √28

The expression is converted into decimal form, then we have

∛58, 32/7, and √28

3.87, 4.57, and 5.29

Then the order of the numbers from greatest to least will be

√28 > 32/7 > ∛58

The order from greatest to least will be the square root of twenty-eight, thirty-two over seven, and cube root of fifty-eight. Then the correct option is A.

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Answer:

y=(-10x+9)/11

Step-by-step explanation:

10x+11y=9

11y=9-10x

y=(9-10x)/11

y=(-10x+9)/11

The quotient when 480 is divided by -60 is 8.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

The numbers given are 480 and -60.

Both are in opposite signs, that is one negative and other positive.

So the quotient will be negative.

Now divide 480 by 60.

Since both of the numbers contain 0 at the end, cancel it.

Then it becomes 48 divided by 6.

48 / 6 = 8

Hence the quotient is 8.

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The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer:

b that is the corect answer

Step-by-step explanation:

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Answer:

15 pt

Step-by-step explanation:

to convert qt to pt you multiply by 2 so 7 and 1/2 times 2 is 15

Due to the symmetry of the paraboloid about the z-axis, you can treat this is a surface of revolution. Consider the curve \(y=x^2\), with \(1\le x\le2\), and revolve it about the y-axis. The area of the resulting surface is then

\(\displaystyle2\pi\int_1^2x\sqrt{1+(y')^2}\,\mathrm dx=2\pi\int_1^2x\sqrt{1+4x^2}\,\mathrm dx=\frac{(17^{3/2}-5^{3/2})\pi}6\)

But perhaps you'd like the surface integral treatment. Parameterize the surface by

\(\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+u^2\,\vec k\)

with \(1\le u\le2\) and \(0\le v\le2\pi\), where the third component follows from

\(z=x^2+y^2=(u\cos v)^2+(u\sin v)^2=u^2\)

Take the normal vector to the surface to be

\(\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial u}=-2u^2\cos v\,\vec\imath-2u^2\sin v\,\vec\jmath+u\,\vec k\)

The precise order of the partial derivatives doesn't matter, because we're ultimately interested in the magnitude of the cross product:

\(\left\|\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}\right\|=u\sqrt{1+4u^2}\)

Then the area of the surface is

\(\displaystyle\int_0^{2\pi}\int_1^2\left\|\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}\right\|\,\mathrm du\,\mathrm dv=\int_0^{2\pi}\int_1^2u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv\)

which reduces to the integral used in the surface-of-revolution setup.

Data Retention Settings. This feature allows you to specify how long user-level and event-level data is stored by analytics before being automatically deleted. You can set up data retention periods for different types of data, such as individual user data, event data, and session data.

Data Retention Settings is a feature available in many analytics platforms that allows you to control how long user-level and event-level data is stored. This helps ensure that the data stored is only relevant to your project. You can set up different data retention periods for different types of data, such as individual user data, event data, and session data. This allows you to specify how long the data should be stored before being automatically deleted. Data retention settings are important as they help protect user privacy and ensure that only the data necessary for your project is stored. They also help you manage your storage costs by allowing you to set a maximum amount of data that can be stored for a certain period of time. Data Retention Settings is a valuable tool for managing the data collected by your analytics platform.

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The complete question is

which of these features lets you control how long user-level and event-level data is stored by analytics Data Retention Policies.

Answer: Covert the mixed number to an improper fraction for them to be too simple fractions and multiply them.

Step-by-step explanation:

By multiply fraction  by a mixed fraction you will have to rewrite the mixed number as an improper fraction.

For example ,

1  1/2  is a mixed fraction. If you convert it to improper fraction, you will get 3/2 then you multiply.

The correct option is- A: (-1/2 , -√3/2) are the coordinates found using the terminal points t = 10pi/3.

On the unit circle, the terminal point. To find any terminal point on the unit circle which start at (1, 0), and determine the angle in degree or radian on the circle that travel counter clockwise whereas if angle is positive as well as clockwise if the angle is negative. The terminal point is the coordinate of the endpoint.

Given values:

t = 10pi/3

convert to degrees

t = 10*pi/3

t = 10*180/3

t = 600 degrees

Find quadrant of 600 degrees.

600 = 360+240

240 comes in III quadrant

Thus,  x-coordinate and y-coordinate are negative

Now,

240° = 180°+ 60°

60° is the angle for which terminal point are to be find.

Let ∅=60°

Consider unit circle

radius r = 1 units

Then,

x = -r*cos ∅

x = -cos 60

x = -(1/2)

And,

y = -r*sin ∅

y = -sin 60

y = -(√3)/2

Thus, the coordinates of the terminal point are found as  (-1/2 , -√3/2) by

t = 10pi/3.

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Plug in values of x to find corresponding values of y.

For example, replace x with 0 to find that...

y = -5x-3

y = -5*0 - 3

y = 0 - 3

y = -3

We have x = 0 lead to y = -3.

Therefore, the point (0, -3) is on this line. This is the y intercept.

Now try something like x = 1

y = -5x-3

y = -5*1 - 3

y = -5 - 3

y = -8

It shows the point (1,-8) is also on the line.

The straight line goes through (0,-3) and (1,-8)

We can repeat this process infinitely many times since there are infinitely many numbers to pick for x.

See the graph below. I used GeoGebra to make it, but you can use something like Desmos or similar.

Step-by-step explanation:

I do not understand

What are you to fine