Consider the arithmetic sequence 3, -10, -23, -36
Can someone help me with 3C?

Answer:

For number one I forget what it is called but I know that its not right because the left side can't be connected to 2 numbers on the right side. For number 3 I honestly have no idea I have never seen or done that equation in my life. For number 4 all you have to do is count up then how many left or right that goes to the line crossing a place where a point could be. For example you rise 3 and go over two it would be 3/2. Though that isn't the answer I hope this helps. Also I don't know number 8 either I am sorry but I also hope this helped a little bit.

The equation that represents h(x) is h(x) = (f(x))(g(x)).

To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).

Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).

Let's examine the table and compare the values:

x | f(x) | g(x) | h(x)

1 | 3 | 4 | 12

2 | 5 | 2 | 10

3 | 2 | 6 | 12

From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).

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Answer:

It's B.

Step-by-step explanation:

Edge 2020.

Answer:

What relationship??

Step-by-step explanation:

Answer:Just add them all

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

First you have to find the percentage of pan crust to all the other crusts to do this you add all the crusts together:

397+220+167+196 = 980

Then divide 196 by 980:

196/980 = .2 or 20%

Then multiply 400 by 20%

400*20% = 80

Answer:

1.  x = 11

2.  x = -11

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (x)*(x)*1/11/1-(11/1)=0

                  11

Simplify   ——

                  1

             1

 (x2 • —— ÷ 1) - 11  = 0  

            11

                   1

Simplify   ——

                   11

            1          

 (x2 • —— ÷ 1) -  11  = 0  

            11        

               1      

Divide  ——  by  1

               11      

            1      

 (x2 • ——) -  11  = 0  

           11    

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  11  as the denominator :

         11     11 • 11

   11 =  ——  =  ———————

         1        11    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

     x2 - (11 • 11)                                    x2 - 121

——————————————  =  ————————

            11                                              11          

   Factoring:  x2 - 121  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 121 is the square of 11

Check :  x2  is the square of  x1  

Factorization is :       (x + 11)  •  (x - 11)  

             (x + 11) • (x - 11)

 ———————————————————  = 0  

                          11    

    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 (x+11)•(x-11)

 ————————————— • 11 = 0 • 11

      11      

Now, on the left hand side, the  11  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  (x+11)  •  (x-11)  = 0

A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solve  :    x+11 = 0  

Subtract  11  from both sides of the equation :  

                     x = -11

Solve  :    x-11 = 0  

Add  11  to both sides of the equation :  

                     x = 11

1.  x = 11

2.  x = -11

Answer:

1.  x = 11

2.  x = -11

Step-by-step explanation:

1.  x = 11

2.  x = -11

Answer:

x = 12

The measure of Angel A and Angle B = 144°

Step-by-step explanation:

Angle ∠ A= 10x+24∘

Angle ∠B=6x+72 ∘

Angle A and Angle B are Alternate interior angles hence, they are equal to each other.

Hence:

10x + 24 = 6x + 72

Collect like terms

10x - 6x = 72 - 24

4x = 48

x = 48/4

x = 12

The measure of ∠ A= 10x+24∘

=( 10(12) + 24)°

=( 120 + 24)°

= 144°

The Measure of Angle ∠B=6x+72 ∘

=( 6(12) + 72)°

= (72 + 72)°

= 144°

Answer:

∠A = 144 degrees

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

The value of x from the given  linear equation is -1 and y = 1

A linear polynomial over a field, from which the coefficients are taken, can be equalized to zero to produce a linear equation.

A line in the Euclidean plane is formed by a linear equation's solutions, and every line may be thought of as the collection of all solutions to a linear equation with two variables. This is where the term "linear" for this class of equations came from

It is given that y = 3x+4 (i) and y = x+2 (ii)

Put equation i) = ii)

Then, we get 3x+4 = x+2

2x = -2

x = -1.

Put the value of x in equation ii)

y = -1+2

y = 1

Hence, the value of x from the given  linear equation is -1 and y = 1

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The statement that is most likely to be true is "The present value factor is always less than 1, given that r < 0."

The future value factor is a multiplier that represents the growth or accumulation of a present value to a future value based on an interest rate (r) and time period. However, the future value factor is not always greater than 1, given that r > 0. The future value factor can be greater than 1 or less than 1, depending on the combination of interest rate and time.

Similarly, the present value factor represents the discounting of future cash flows to their present value. When the interest rate (r) is negative (r < 0), the present value factor will be less than 1. This is because negative interest rates imply a discounting effect, reducing the value of future cash flows to a lower present value.

Therefore, the statement that the present value factor is always less than 1, given that r < 0, is the most likely to be true, as it aligns with the concept of present value and the discounting effect of negative interest rates.

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Answer: $0.38

Step-by-step explanation:

2.29/8=

0.38167=

0.38167=$0.38

Answer:

-3

Step-by-step explanation:

-15/5 is equivalent to -3, so wherever on your number line "-3" is, circle that

Answer:

d=18

Step-by-step explanation:

3/2 = 3*6 / 2*6 = 18/12 = d/12

So, d=18

Answer:

the value of d is 18

Step-by-step explanation:

d/12 = 3/2

do cross multiplication,

d*2 = 12*3

d = 36/2

d = 18

The coordinates of the roots of the equation 3+2x-x^2=0 is (- 1, 0 ) and (3, 0 ).

A quadratic equation  can be described as the algebraic equation  that posses the second degree of x which can be seen in the form of ax2 + bx + c = 0 and this can be followed in solving the equation.

We were given:

3+2x-x^2=0

This equation can be re arranges as :

-x^2 +  3+2x=0

This can be factorized as :

(x + 1)(x - 3)

Hence the  coordinates of the roots can then be written as  (- 1, 0 ) and (3, 0 ).

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It seems that you are referring to the exponential growth formula which is:

N(t) = N₀ * (1 + r)^t

Where:
N(t) is the number of individuals at time t
N₀ is the initial number of individuals (in this case, 25 alive in 1955)
r is the growth rate
t is the time period (in years)

In this problem, we have:
N₀ = 25 individuals (alive in 1955)
N(t) = 500 individuals (existed in 2013)
t = 2013 - 1955 = 58 years

We need to solve for r. To do that, rearrange the formula:

r = [(N(t) / N₀)^(1/t)] - 1

Plug in the given values:

r = [(500 / 25)^(1/58)] - 1

r ≈ 0.029

So, the answer is (d) 0.029.

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Answer:

(b) added

Explanation

Sales tax is added to the pre-tax value (price) to calculate the total cost. Mathematically, we can say that;

Sales tax + Pre-tax value (price) = Total cost

The better use for paired samples or independent samples is,

a) Paired sample

b) Independent sample

c) Independent sample

d) Paired sample

We have,

To construct a confidence interval for each of the following quantities,

a. The mean difference in height between identical twins.

b. The mean difference in height between men and women.

c. The mean difference in apartment rents between apartments in two different cities.

d. The mean difference in apartment rents in a certain town between this year and last year.

Hence, Identify better use for paired samples or independent samples as,

a. Paired Samples, because the heights of the identical twins are dependent on each other.

b. Independent Samples; the height of men and women are independent of each other.

c. Independent Samples; rents in two different cities are not expected to be dependent on each other.

d. Paired Samples; rent in a certain town between this year and last year is dependent on each other.

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Complete question is,

Paired or independent? To construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples, and explain why.

a. The mean difference in height between identical twins.

b. The mean difference in height between men and women.

c. The mean difference in apartment rents between apartments in two different cities.

d. The mean difference in apartment rents in a certain town between this year and last year.

Parallel cross sections of a sphere look like circles with the same radius as the sphere, while perpendicular cross sections look like points. Cross sections taken at other angles will be ellipses.

A sphere is a three-dimensional geometric shape that is perfectly round in shape, like a ball. It is defined as the set of all points in three-dimensional space that are at a constant distance (the radius) from a given point called the center.

If we take a cross section of a sphere, the resulting shape will depend on the angle at which the section is taken relative to the center of the sphere.

If we take a plane that is parallel to the base of the sphere, the cross section will be a circle with the same radius as the sphere. This is because the intersection of the plane with the sphere will be a circle, and since the plane is parallel to the base of the sphere, the circle will have the same radius as the sphere.

On the other hand, if we take a plane that is perpendicular to the base of the sphere, the cross section will be a point. This is because the plane will intersect the sphere at only one point, which is the point at which the plane is perpendicular to the sphere.

If we take a plane that is neither parallel nor perpendicular to the base of the sphere, the resulting cross section will be an ellipse. The size and shape of the ellipse will depend on the angle at which the plane intersects the sphere.

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Answer: 5h+4=A

Step-by-step explanation:

She gets five dollars an hour so for one hour she gets five dollars, for two hours she gets 2 times 5 dollars (10 dollars), for three hours she gets 3 times 5 dollars (15 dollars) etc...

Now replace the 1,2,3... with the variable representing the hour. In this case it would be h. So 5h=five dollars per hour. Because you only put the kid to bed once, you add four at the end

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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Therefore , the solution of the given problem of unitary method comes out to be \(a_n-1\) and \(a_n\) is the nth word in the sequence.

A unitary approach is a mathematical problem-solving methodology that includes determining the value or quantity of a single unit or a fraction of a single unit and then utilizing that value to determine the value or quantity of a greater or lesser number of units.

This generally recognized ease, preexisting variables, and any significant elements from the initial Diocesan customizable query may all be used to complete the task. If so, your may have another chance to interact alongside the item. Otherwise, all important influences on how algorithmic proof acts will be eliminated.  

Here,

The museum will have 75 items when it opens, and 3 more pieces will be added each month. The numerals in the pattern for the following eight months are as follows:

=> 75 + 3 = 78

=>  78 + 3 = 81

=>  81 + 3 = 84

=>  84 + 3 = 87

=>  87 + 3 = 90

=>  90 + 3 = 93

=>  93 + 3 = 96

=>  96 + 3 = 99

Each number is 3 more than the one before it, which is another pattern that can be seen in the numerals. With a common difference of three, the series is an arithmetic one. This pattern can be represented numerically as:

=> \(a_n = a_{n-1} + 3\)

where the preceding term is called \(a_n-1\) and \(a_n\) is the nth word in the sequence.

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The curve is concave upward on this interval. In interval notation, the answer is:(0, pi/2)

To find dy/dx, we use the chain rule:

dy/dt = -sin(t)

dx/dt = -sin(2t)

Using the chain rule,

dy/dx = dy/dt / dx/dt = -sin(t) / sin(2t)

To find d2y/dx2, we can use the quotient rule:

d2y/dx2 = [(sin(2t) * cos(t)) - (-sin(t) * cos(2t))] / (sin(2t))^2

= [sin(t)cos(2t) - cos(t)sin(2t)] / (sin(2t))^2

= sin(t-2t) / (sin(2t))^2

= -sin(t) / (sin(2t))^2

To determine where the curve is concave upward, we need to find where d2y/dx2 > 0. Since sin(2t) is positive on the interval (0, pi), we can simplify the condition to:

d2y/dx2 = -sin(t) / (sin(2t))^2 > 0

Multiplying both sides by (sin(2t))^2 (which is positive), we get:

-sin(t) < 0

sin(t) > 0

This is true on the interval (0, pi/2). Therefore, the curve is concave upward on this interval.

In interval notation, the answer is: (0, pi/2)

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Answer:

1.25

Step-by-step explanation:

B

8/10=5/5+x

C

8/10=5/5+x

40+8x=50

      8x=10

        x=5/4

        x=1.25

The publication of three major books on race in chronological order, from earliest to most recent is:

Chronological order is the listing, description, or discussion of when events occurred in relation to time. Essentially, it is similar to looking at a chronology to see what happened initially and what happened after that. For example, if teachers asked their pupils to recount their first day of school, they would expect students to begin by waking up that morning and getting ready. If pupils begin from the time they enter the school, significant information is lost and the listener may become confused due to a lack of knowledge.

Helping pupils grasp what chronological order is and how to use the skill correctly can benefit students ranging from kindergarten to collegiate levels. The concept may appear simple, yet failing to master chronological sequence can cause kids to struggle academically and lack a solid educational foundation.

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The subsolar point falls on the equator on two specific days of the year, which are the vernal equinox and the autumnal equinox.

The vernal equinox, also known as the March equinox or the spring equinox, occurs on or around March 20th. The autumnal equinox, also known as the September equinox or the fall equinox, occurs on or around September 22nd. On these two days, the subsolar point is directly over the equator, resulting in nearly equal amounts of daylight and darkness at all latitudes.
In summary, the subsolar point falls on the equator on the vernal equinox (March 20th) and the autumnal equinox (September 22nd).

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The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is at least 5.

The chi-square statistic is a measure of how different an observed frequency is from the expected frequency. It is calculated by taking the difference between the observed and expected frequency in each cell, squaring it, and then summing the results. This measure can then be compared to a chi-square distribution with degrees of freedom equal to the number of cells minus one. If the calculated statistic is larger than the expected value from the chi-square distribution, then it can be concluded that the observed frequency differs significantly from the expected frequency.
In order to use the chi-square approximation, it is important that the expected frequency in each cell is at least 5. This is because the chi-square approximation only works well when there are large expected frequencies. When expected frequencies are smaller than 5, the chi-square statistic is not an accurate measure of the difference between the observed and expected frequencies.

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Option A is the correct answer. Ellora wants to accumulate 150,000 in an RRSP by making annual contributions of 5,000 at the beginning of each year. If interest is 5.5% compounded quarterly, calculate how long she has to make contributions.

First, we have to find the interest rate per quarter, which will be
\(5.5% / 4\)= 1.375%.
The formula for the future value of an annuity is: 
\(FV = (C * [(1 + r)^n - 1] / r)\),

For Ellora, \(FV = $150,000, C = $5,000, and r = 1.375%.\)
Substituting these values into the formula gives:
\(150,000 = 5,000 * [(1 + 0.01375)^n - 1] / 0.01375\)
Simplifying this equation gives:
\(30 = [(1.01375)^n - 1]\)

We can solve this using logarithms:
\(ln 30 = ln [(1.01375)^n - 1]\)
\(ln 30 = n * ln 1.01375 - ln 1.01375e^(ln 30) / e^(-ln 1.01375) = n18.202125 = n\)

Therefore, it will take Ellora 18.202125 years to accumulate 150,000 in her RRSP through \($5,000\)annual contributions made at the beginning of each year with interest of \(5.5%\) compounded quarterly.

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Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope / gradient

c is the y intercept

y = 3x + 7

Comparing this equation with the general form above

Gradient of the line = 3

2y - 6x = 8

Divide both sides by 2

We have

y - 3x = 8

To make y the subject move 3x to the right side of the equation

That's

y = 3x + 8

Comparing with the general form above that's y = mx + c

The gradient = 3

y = 3x + 7

A(2 , y ) , B( x , 4)

Since they lie on the line we can substitute their values into the equation to find the missing points

For A(2 ,y)

We have

y = 3(2) + 7

y = 6 + 7

For B( x , 4)

4 = 3x + 7

3x = 4 - 7

3x = - 3

Divide both sides by 3

Hope this helps you

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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