9. Which kind of function best models the data in the table? Use

differences or ratios.

Answer:

x = 24

Step-by-step explanation:

Complete question

Y and x have a proportional relationship, and y = 24 when x = 16 What is the value of x when y = 36?

If y is proportional to x, then;

y = kx

24 = 16k

k = 24/16

k = 1.5

Recall that y = kx

36 = 1.5x

x = 36/1.5

x = 24

Hence the required value of x is 24

To solve for x at an angle, you must first understand what type of angle you are working with. If the angle is a right angle, you can use the Pythagorean theorem to solve for x. If the angle is an obtuse angle, you can use the law of cosines to solve for x. If the angle is an acute angle, you can use the law of sines to solve for x.

To solve for x at a right angle using the Pythagorean theorem, you must have the lengths of the two neighboring sides of the triangle. The sum of the squares of the two sides is equal to the square of the hypotenuse, according to the Pythagorean theorem. By rearranging the components and solving for x, this equation may be used to find x.

To use the law of cosines to solve for x at an obtuse angle, you must know the lengths of all three sides of the triangle. According to the law of cosines, the square of one side's length equals the sum of the squares of the other 2 sides minus twice the product of the other 2 sides multiplied by the cosine of the obtuse angle. You can use this equation to solve for x by rearranging the terms and solving for x.

To apply the law of sines to solve for x in an acute angle, you should first know the lengths of the triangle's two sides as well as the acute angle's measurement. According to the law of sines, the ratio of one side's length to the sine of the opposite angle equals the ratio of the other side's length to the sine of the acute angle. By rearranging the terms and solving for x, you may use this equation to solve for x.

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The 3.51% compounded quarterly investment is the better investment in terms of higher returns.

We need to compare the effective rates of return for both options in order to determine which investment is superior.

A) For the 3.38% accumulated semiannually, we can work out the successful rate utilizing the equation:

The effective rate is as follows: Effective Rate = (1 + (Annual Interest Rate / Number of Compounding Periods))  Number of Compounding Periods - 1 Annual Interest Rate = 3.38 percent Number of Compounding Periods = 2 (since it is compounded semiannually) Effective Rate = (1 + (0.0338 / 2)) 2 - 1

The 3.38% compounded semiannual investment has an effective rate of approximately 3.59%, which is calculated as follows: Effective Rate = (1 + 0.0169)2 - 1 Effective Rate  0.0359385 or 3.59% (rounded to two decimal places).

B) We can use the same formula to determine the effective rate for the quarterly compound interest rate of 3.51 percent:

Since it is compounded quarterly, there are four compounding periods, and the annual interest rate is 3.51 percent. The effective rate is equal to (1 + (0.0351 / 4))4 - 1.

The compounded quarterly investment at 3.51% has an effective rate of approximately 3.53%, which is calculated as follows: Effective Rate = (1 + 0.008775)4 - 1 Effective Rate  0.0353157 or 3.53% (rounded to two decimal places).

When we look at the effective rates, we can see that the compounded quarterly investment with a rate of 3.51 percent has a slightly higher effective rate (3.53%) than the compounded semiannual investment with a rate of 3.38 percent (3.59%). Consequently, the higher-return investment at 3.51 percent compounded quarterly is superior.

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The median of the data set will increase if the player scores 9 and 35 points in the next two games. The median of the data set will increase if the player scores 9 and 35 points in the next two games.

To understand how the median of the data set is affected, we need to consider the current data set and then incorporate the scores from the next two games. Let's assume the current data set is as follows:

{X1, X2, X3, ..., Xn}

The median is the middle value of the data set when arranged in ascending order. If the number of data points is odd, the median is the middle value. If the number of data points is even, the median is the average of the two middle values.

Given that the player scores 9 and 35 points in the next two games, we can add these scores to the current data set:

{X1, X2, X3, ..., Xn, 9, 35}

Now, we need to arrange the data set in ascending order:

{X1, X2, X3, ..., Xn, 9, 35} → {X1, X2, X3, ..., Xn, 9, 35}

As the data set is now larger, the middle value (or values) will be affected. If the number of data points is odd, the new median will be the middle value of the updated data set. If the number of data points is even, the new median will be the average of the two middle values.

Therefore, if the player scores 9 and 35 points in the next two games, the median of the data set will increase or change depending on the original data set and the position of the new scores in the arrangement.

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There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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Answer:

Step-by-step explanation:

please give me brainliest

Answer:

1.) 6c^(2)-11c

Step-by-step explanation:

2.) 4z+3e+5

5.) x-3

I am not to sure on question 4

Answer:

5:400

Step-by-step explanation:

Answer:

The leading coefficient is 9

Answer:

i think its 38.4 but im not 100% sure

Answer:

15

Step-by-step explanation:

Answer:

your answer is 33

Step-by-step explanation:

33×6=198

30

Given the expression for the instantaneous voltage expressed as:

Given the following parameter:

θ = 30⁰

Substitute the given parameter into the formula to have:

Therefore the instantaneous voltage when θ = 30⁰ is 30.

The weight of th baby elephant in the month of March would be 247.5 Kg.

Weight of a body is the force exerted by the earth on the body on the surface of the earth towards its center.

Given is that in January a baby elephant weighs 180kg. By March the weight of the baby elephant had increased by ⅜.

Assume the weight of the baby elephant in March would be {x} Kg. We can write -

{x} = 180 + 3/8 of 180

{x} = 180 + 3/8 x 180

{x} = 180 + 67.5

{x} = 247.5 Kg

Therefore, the weight of th baby elephant in the month of March would be 247.5 Kg.

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The simplest form of (m². m⁵. m⁻³ ) is m⁴  

Writing a number as the product of itself a number of times are known as an Exponent.

For example,

If 7 is multiplied by itself 3 times, i.e. 7 × 7 × 7. This can be represented as 7³. Where 7 is the base and 3 is the exponent.

If a is multiplied by itself b times, i.e. a × a × a...(b times). This can be represented as (aᵇ). Where 'a' is the base and 'b' is the exponent.

Here we have

The expression (m². m⁵. m⁻³ )

As we know, (aᵇ . aˣ. aᵃ) = aᵇ⁺ˣ⁺ᵃ  

(m². m⁵. m⁻³ ) = m²⁺⁵⁻³  = m⁴  

Therefore,

The simplest form of (m². m⁵. m⁻³ ) is m⁴  

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Answer:

Step-by-step explanation:

v

=

x

3

+

6

x

2

+

5

x

Explanation:

The formula for volume is:  

v

=

l

⋅

w

⋅

h

where  

v

is the volume,  

l

is the length,  

w

is the width and  

h

is the height.

Substituting what we know into this formula gives:

v

=

(

x

+

5

)

(

x

+

1

)

x

v

=

(

x

+

5

)

(

x

2

+

x

)

v

=

x

3

+

x

2

+

5

x

2

+

5

x

v

=

x

3

+

(

1

+

5

)

x

2

+

5

x

v

=

x

3

+

6

x

2

+

5

x

The probability that none of the three students volunteer at the hospital is 1/4. This means there is a 25% chance that none of the selected students will be volunteering at the hospital.

To find the probability, we first need to determine the total number of ways to select three students from the club, which is the combination of selecting three students from a total of four students. Using the formula for combinations, this is denoted as C(4, 3) and equals 4.

Next, we calculate the number of ways to select three students without any of them volunteering at the hospital. Since we want to exclude the students who volunteer at the hospital, we have only three remaining students to choose from. Hence, the number of ways to select three students without any of them volunteering at the hospital is C(3, 3) which equals 1.

Therefore, the probability that none of the three students volunteer at the hospital is 1 out of 4, or 1/4.

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Answer:

Step-by-step explanation:

Since 8 increases by 5 to be 13 I would say that s=15 and y=11

Alos s is the hypotenuse which is the longest side of the triangle

Answer:

The correct answer would be D

9x=5(x=35)

Step-by-step explanation:

If this doesn't help I can fix it. I'm sorry in advance if it is incorrect.

Answer:

Step-by-step explanation:

f - 11 - x should get your answer x

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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Answer:

7 inch

Step-by-step explanation:

Sqrt 49 = 7

Answer:

7

Step-by-step explanation:

Area is both sides multiplied together

all sides of a square r equal

to find each side, take the square root of 49

side=7

If the graph of f(x) = x² is translated to form g(x) = (x – 5)² + 1, a graph which represent g(x) is: A. On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Translating the squared parent function f(x) = x² five (5) to the right and 1 unit up, we have the following:

f(x) = x²   →  g(x) = f(x - (5)) + 1

g(x) = (x – 5)² + 1

In this context, we can logically deduce that the squared parent function f(x) was translated five (5) to the right to create function g(x) as shown in the graph attached below.

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Answer:

----------------------------------

The g(x) has a = 1 and vertex (h, k) = (5, 1). With a > 0, the graph opens up.

Only one of them include the parabola with vertex (5, 1):

We mentioned that it opens up and the vertex is correct.

Let's confirm the two points on the graph (2, 10) and (8, 10):

Answer:

3/2 pages per hour

Step-by-step explanation:

1 : 2/3

= 3/2 : 1

Answer:

13/34

Step-by-step explanation:

subtract the 21 from the 34 and badaboom ya are left with 13 peeps on the bus!

Answer:

13/34

Step-by-step explanation:

34-21=13

13/34

Answer:

098765

Step-by-step explanation:

Answer:

D) {11,-4,-29}

Step-by-step explanation:

rewrite the equation as y= -5x+1 and plug in -2,1 and 6 to get y

-5*-2+1=11

-5*1+1=-4

-5*6+1=-29