Which figure is missing in the pattern?
?

Answer:

16383

Step-by-step explanation:

Answer

The quadratic model for this data

n = -2t² + 24t + 10

Explanation

Quadratic functions are given as

y = ax² + bx + c

where y = n, t = x and a, b and c are constants.

n = at² + bt + c

when t = 1, n = 32

32 = a(1)² + b(1) + c

32 = a + b + c

when t = 3, n = 64

64 = a(3)² + b(3) + c

64 = 9a + 3b + c

when t = 4, n = 74

74 = a(4)² + b(4) + c

74 = 16a + 4b + c

Combining the three equations

a + b + c = 32

9a + 3b + c = 64

16a + 4b + c = 74

We can then solve this simultaneously and obtain that

a = -2

b = 24

z = 10

So, the quadratic model for this data

n = -2t² + 24t + 10

Hope this Helps!!!

D was the answer for me.

Answer:

its c

Step-by-step explanation:

I just took the test

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

Answer:

-95x+46

Step-by-step explanation:

4(-32x+5)-(-33x-26)=

-128x+20-(-33x-26)=

-128x+20+33x+26

-95x+46

Answer:

-95x-46

Step-by-step explanation:

4(-32x+5)-(-33x-26)=

-128x+20-(-33x-26)=

-128x+20+33x+26

-95x+46

Answer:

90

Step-by-step explanation:

When the first side is 20 cm long, the second side is 30 cm long, and the angle is /6 radians, the angle between the sides is changing at a rate of -0.15 radians per second.

Let's denote the two sides of the triangle that are changing as x and y, where x is increasing at a rate of 3 cm/s and y is decreasing at a rate of 2 cm/s. Let A be the angle between these two sides, and let A be the area of the triangle, which is constant.

We can use the formula for the area of a triangle:

A = 1/2 xy sin(A)

where sin(A) is the sine of the angle A.

Taking the derivative of this equation with respect to time t, we get:

dA/dt = 1/2 [(dx/dt) y sin(A) + x (dy/dt) sin(A) + xy cos(A) (dA/dt)]

Simplifying this equation and plugging in the given values, we get:

0 = 1/2 [(3)(30) sin(π/6) + (20)(-2) sin(π/6) + (20)(30) cos(π/6) (dA/dt)]

Solving for dA/dt, we get:

dA/dt = [-45/(600 cos(π/6))] cm²/s

dA/dt = -0.15 cm²/s

Therefore, the angle between the sides is changing at a rate of -0.15 radians per second when the first side is 20 cm long, the second side is 30 cm long, and the angle is π/6 radians.

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Answer:

(x−2)2+(y+1)2=100

Explanation:

the standard form of the equation of a circle is  

2 2 ( x − a ) 2 + ( y − b ) 2 = r 2 2 2  where  ( a , b )  are the coordinates of the center and r is  the radius  to find the center we require the  midpoint of the  2 given points  center  = [ 1 2 ( − 4+ 8 ) , 1 2 ( 7 − 9 ) ]  center = ( 2 , − 1 )  the radius is the distance from the center to either of  the 2 given points  calculate the radius using the  distance formula ∙  d = √ ( x2 − x 1 ) 2 + ( y 2 − y 1 ) 2  let  ( x 1 , y 1) = ( 2 , -1 )  and  ( x 2 , y 2 ) = ( − 4 , 7 ) r = √ = √ ( − 4 − 2 ) 2 + ( 7 + 1 ) 2 = √ 36 + 64 = 10 ⇒ ( x − 2 ) 2 + ( y − ( − 1 ) ) 2 = 10 2 ⇒ ( x − 2 )2 + ( y + 1 ) 2 = 100 ←  equation of circle

Answer:

C

Step-by-step explanation:

Answer:

65+11x-17 =180

11x+48 =180

11x. =180-48

11x. =132

x =12

The complete steps for the value of x are;

1. 65 + (11x - 17) = 180

2. 11x + 48 = 180

3. 11x = 132

4. x = 12

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

In the figure,

Angles 65 degree and (11x - 17) degree are supplement to each other.

Now, We use the definition of supplementary angles, for find the value of x as;

Angles 65 and (11x - 17) degree are supplement to each other.

⇒ 65 + (11x - 17) = 180

Combine like terms, we get;

⇒ 11x + (65 - 17) = 180

⇒ 11x + 48 = 180

Subtract 48 both side, we get;

⇒ 11x + 48 - 48 = 180 - 48

⇒ 11x = 132

Divide by 11, we get;

⇒ x = 12

Thus, The value of x = 12

Therefore, The complete steps for the value of x are;

1. 65 + (11x - 17) = 180

2. 11x + 48 = 180

3. 11x = 132

4. x = 12

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Answer:

\(9/20,\) \(45.4/100,\) \(5/11,\) \(\sqrt{2}\)

Step-by-step explanation:

Convert the values into decimals.

\(5/11=0.45454545454\)

\(\sqrt{2}=1.41421356237\)

\(45.4/100=0.454\)

\(9/20=0.45\)

With decimals, it is especially important to understand place value.

\(0.45454545454, 1.41421356237, 0.454, 0.45\)

Order from smallest to largest.

\(0.45, 0.454, 0.45454545454, 1.41421356237\)

\(9/20,\) \(45.4/100,\) \(5/11,\) \(\sqrt{2}\)

The question asks which combined solid the person selected to make their own models. Without additional context or information, it is difficult to provide a specific answer.

Platonic solids are regular, convex polyhedra that have identical faces and vertices. There are five Platonic solids: tetrahedron, cube, octahedron, dodecahedron, and icosahedron. A combined solid is formed by joining two or more Platonic solids together. Some common combined solids that can be made from Platonic solids include:

Cuboctahedron: This is a combination of a cube and an octahedron. It has 8 triangular faces and 6 square faces.

Icosidodecahedron: This is a combination of an icosahedron and a dodecahedron. It has 20 triangular faces and 12 pentagonal faces.

Rhombicuboctahedron: This is a combination of a cube and an octahedron, with each face being a rhombus. It has 8 triangular faces and 18 square faces.

Truncated octahedron: This is formed by truncating the corners of an octahedron. It has 8 hexagonal faces and 6 square faces.

Without additional context or information about the person's preferences or intended use for the models, it is impossible to determine which combined solid they selected.

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Answer:

Step-by-step explanation:

5*π = 15.7079633

15.7079633 rounded to the nearest hundredth is 15.71

give me brainliest please

The percentage of people living on boat in Florida is 15.4%. The equivalent of this percentage to decimal is 0.154 and to fraction is 77/500.

55% live in a house, 25% live in an apartment, 4.6% in condo while the rest live on a boat. If all the percentages are summed up, they must be equal to 100%.

Let a% equals to the percentage of adult living on boat

55+25+4.6+a = 100

84.6 + a = 100

Collect like terms

a = 100 - 84.6

a = 15.4%

Therefore, the percentage of adult living on boat is 15.4%

To convert the percentage to decimal equivalence, one must divide it by 100%

15.4%/100%

= 15.4/100

= 0.154

To convert the percentage to fraction equivalence, one have to divide it by 100%

15.4%/100%

= 15.4/100

One has to make both the numerator and denominator of the fraction whole numbers, to do that one has to shift the decimal place behind the last digit, for a number without decimal point a 0 is added to the back of the number.

= 154/1000

Reducing the fraction to its lowest term, this is done by diving the numerator and denominator by a common factor

= 77/500

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Answer:

4m^7y^2/-3

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

7 is one number in a 10 sided die

After solving we get that 7 greater than 15 multiplied by 2 is indeed 37.

Follow the PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) sequence of operations to solve this problem:

1. Begin by performing a multiplication operation: 2 times 15 results in 30.

2. To get the answer to the multiplication, add 7: 30 + 7 = 37.

Therefore, multiplying 7 by 2 and adding 15 is equivalent to 37.

The steps are broken down as follows:

Step 1: 15 × 2 = 30

Step 2: 30 + 7 = 37

The answer is 37 since 7 is more than 15 when multiplied by 2.

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Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

Answer:

I think C. is correct

Step-by-step explanation:

Just trust me, I'm smart ;)

Answer:

they both are the same number

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

1/625

Step-by-step explanation:

(1/25)(1/25)=1/625

Answer:

672 had dark hair, 592 had blond hair, and 48 had red hair

Step-by-step explanation:

To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.

Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:

42 + 37 + 3 = 82

We can then divide 1,312 by 82 to get the scaling factor:

1,312 ÷ 82 = 16

This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.

To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:

Dark-haired people: 42 × 16 = 672

Blond-haired people: 37 × 16 = 592

Red-haired people: 3 × 16 = 48

Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.

Answer:

3x+4y+7y = 3x + 11 y

Step-by-step explanation:

We need to simplify the given expression i.e.

3x+4y+7y

We know that, the like terms gets add up i.e. the sum of 4y and 7y equals 11 y

So,

3x+4y+7y = 3x + 11 y

Hence, the final simplification should be 3x + 11 y.

Answer:

F(x)=2/3x-8

Step-by-step explanation:

The question mentions obtaining the iterative Cochrane-Orcutt estimates using data related to barium. It also asks whether the Prais-Winsten and Cochrane-Orcutt estimates are similar and whether such similarity was expected.

The Cochrane-Orcutt method is a procedure used for estimating parameters in a time series regression model when there is serial correlation in the error terms. It involves using an iterative process to estimate an autoregressive model. The Prais-Winsten method is a similar approach that addresses serial correlation in a time series regression model.

Without specific data related to barium or the estimated coefficients, it is not possible to determine the similarity between the Prais-Winsten and Cochrane-Orcutt estimates in this context. However, both methods aim to address the issue of serial correlation, and thus, their estimates are expected to be similar in terms of addressing this specific problem.

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Answer:

Step-by-step explanation:

A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option.

Answer: For the first option which is leasing, it is described by the equation:

250x - y + 4000 = 0

The general equation of a line is y = mx + c, where m is the slope of the line and c is the intercept on the y axis.

Since 250x - y + 4000 = 0, we need to make it in the form of the general equation by making y the subject of the formula.

Therefore:

y = 250x + 4000

This means that the slope is 250 and the y intercept is 4000. That is at 0 months, the amount paid for the car is $4000 for the first option. As the value of the months increase by 1, the amount paid for the car increase by 250

The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). To get the equation of the line, we use the formula:

\(\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\ Substituting:\\\frac{y-400}{x-0}=\frac{4400-400}{10-0}\\\frac{y-400}{x} = 400\\y=400x+400\)

The second option has a slope of 400 and an intercept of 400. At 0 months, $400 is paid for ownership. As the value of the months increase by 1, the amount paid for the car increase by 400