The graph shows the first four ordered pairs formed by the corresponding terms of two patterns. Which ordered pair would be the fifth point on this graph? (4,12) (12,4) (12,8) (10, 4) Q1 6 7 8 9 10 11 12

Given:

Points that lie on the same line.

Opposite rays

The function which shows the total manufacturing cost of skateboards as a function of the number of hours is; g(f(h)) = 845h2 + 2,600h + 100.

It follows from the task content that the function which shows the manufacturing cost as a function of the number of hours be determined.

Since, the number of skateboards is given in terms of hours as; f(h) = 325h and;

The manufacturing cost, g is given in terms of the number of skateboards, b manufactured;

The function instance which represents the manufacturing cost as a function of hours is; g(f(h)).

Therefore, we have; g(f(h)) = 0.008(325h)² + 8(325h) + 100.

Hence, the correct function is; g(f(h)) = 845h2 + 2,600h + 100.

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First, we need to find the sides of the triangle.

The base of the triangles is 8ft - 5ft = 3ft.

The height for the triangle is 7ft - 4ft = 3ft

Now, we need to find the area of the triangle:

Replacing the values:

Then

Now, we need to find the area for the rectangle:

Area for a rectangle = Length * Width

In this case:

Length = 8ft

Width = 7ft

Therefore:

Then

Finally, to find the area of the shaded region we need to subtract the triangle area from the rectangle area:

Therefore:

Hence, the area for the shaded region is 51.5 ft².

Answer:

B, C, D and E.

Explanation:

The proof and reasons for each step is given below:

Step 1:

Statement: RSTU is a parallelogram.

Reason: Given

Step 2:

Statement: RS is parallel to TU and RU is parallel to TS

Reason: (B)Definition of a parallelogram

Step 3:

Statement: ∠RSU≅∠TUS and ∠RUS≅∠TSU.

Reason: (C)Alternate Interior angles are congruent

Step 4:

Statement: SU≅US.

Reason: (E)corresponding parts of congruent triangles are congruent.

Step 5:

Statement: Triangle RSU≅Triangle TUS.

Reason: AAS Congruence Theorem

Step 6:

Statement: RS≅TU and RU≅TS

Reason: (D)Opposite sides of a parallelogram are congruent.

The reasons that support the proof are B, C, D and E.

he slope-intercept form​ is

y = mx + c

here, m = slope of the line and C is intercept on y axis.

Answer:

3 feet

Explanation:

We are told from the question that the ball's height, in feet, is modeled by the below function;

where x = time in seconds

To determine the height of the ball when Sarina throws the ball, all we need to do is solve for the initial height of the ball, i.e, the height when x = 0. So we'll have;

The value Z is denoted as the center of the circle. Therefore, arc UV and arc XY should be the same .

Answer: A. 42°

Step-by-step explanation:

Hope this helps :)

We have

fabric cut into 5 equal -length pieces

she cut 3 cm

l=length of one piece of the 5 equals pieces

l=6+3

l=9

the original piece of fabric is

o= length of the original fabric

o=5l

o=5(9)

o=45 cm

the original piece of fabric is 45 cm

paid price = 24,998

it is the amount that is 1815 less than the sticker price,

so the sticker price or price of the car is x

so x = 24,998 + 1815

x =26,813

so the price of car is x = 26,813.

You have to determine the cost for 4.5 inches of the construction using the graph.

The height is on the y-axis, and the cost is on the x-axis.

First, locate 4.5 in the y-axis, which is the value in the midpoint between 4 and 5.

Draw a horizontal line until you intersect with the line, then draw a vertical line from the function until the x-axis:

The line crosses the x-axis at the midpoint between values 102 and 127.5 to determine the value at this point you have to average both costs:

The cost of 4.5 inches of construction is $114.5

By definition, a relation is a function if each input value (x-value) has one and only one output value (y-value).

In this case, you have the following relation:

Notice that each ordered pair has this form:

Where "x" is the input value and "y" is the output value.

You can identify that each input value has one and only output value. Therefore, you can conclude that this relation is a function.

Hence, the answer is: It is a function.

First option is correct.

For all the sample sizes, the sample mean is close to 6, give or take (

1) Examining that ratio, we can perform the following:

2) Note that when we multiply that ratio by their conjugates, that yields a difference between two squares. Note that on the top, there is the expanded version of this expression.

Thus, the answer is D

The given equation is

If we subtract 0.6 on each side, we get

Therefore, the given expression is equivalent to B.

If we multiply the given equation with 3, we get

Therefore, the given expression is equivalent to C.

At last, if we subtract 0.6 and 4 on each side, we get

Therefore, the given expression is equivalent to E.

Answer: x[tex]\leq[/tex]18

Answer:

A positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.

What is an integer?

Zero, a positive natural number, or an unsigned negative integer are all examples of integers. The inverses of the equivalent positive numbers, which are additive, are the negative numbers. The boldface Z or blackboard bold "Z" is frequently used in mathematical notation to represent a collection of numbers.

Step-by-step explanation:

We know That total No. of factors

=product of (prime no′s power+1)

If N is the number of different divisors:

N=(p1​+1)⋅(p2​+1)⋅⋅⋅(pn​+1)

100= 2^2 × 5^2

=2×2×5×5= (1+1)(1+1)(4+1)(4+1)

Then the integer n=  a1^p1​​⋅a2^p2​​⋅⋅⋅⋅an^pn​​

For the smallest value: p1​=4,p2​=4,p3​=1,p4​=1

Then,

n=a1^4​×a2^4​×a3^1​×a4^1​

=24⋅34⋅51⋅71

=16⋅81⋅5⋅7

=45360

Hence, the positive integer with exactly four positive divisors (including and ) such that the sum of the four divisors is equal to The sum of four divisors is equal to 45360.

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test

some text with formatting

0. primo

1. secondo

2. terzo

• good

• better

• the best

∛

pl

lkp

ok

=)

The function has an end behaviour of x → ∞, q(x) → -∞ and x → -∞, q(x) → -∞

The equation of the polynomial function is given as

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

To determine the end behaviour of the function, we calculate

q(∞) and q(-∞)

So, we have

q(∞) = -2(∞)⁸ + 5(∞)⁶ - 3(∞)⁵ + 50

Evaluate the exponents

q(∞) = -2(∞) + 5(∞) - 3(∞) + 50

This gives

q(∞) = -∞ + ∞ - ∞ + 50

q(∞) = -∞

Also, we have

q(-∞) = -2(-∞)⁸ + 5(-∞)⁶ - 3(-∞)⁵ + 50

Evaluate the exponents

q(-∞) = -2(∞) + 5(∞) - 3(-∞) + 50

This gives

q(-∞) = -∞ + ∞ + ∞ + 50

q(-∞) = -∞

Hence, the end behaviour of the graph is x → ∞, q(x) → -∞ and x → -∞, q(x) → -∞

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Complete question

Consider the polynomial function q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

Calculate the end behaviour

Answer: I belive it would be 4.6 x 10^11 dollars. I hope this helps you :)

Step-by-step explanation:

Answer:it would be 4.6x10^11

Step-by-step explanation:

The measure of < JKL = 25+25 = 50 degrees.

Angle JOK = 360 -230 = 130 degrees , (where O is the center of the circle)

< OLK = < OJK = 90 degrees ( tangent to a circle)

< LOK = < JOK = 180 - (90+65) = 180 - 155 = 25 degrees

The solution is: < JKL = 25 +25 = 50 degrees

The solution of the given equation is [tex]-3+\sqrt{6}[/tex] and [tex]-3-\sqrt{6}[/tex].

Given equation:-

[tex](x+3)^2=6[/tex]

We have to find the value of x by solving the given equation.

We can rewrite the given equation as:-

[tex]x^2+6x+9=6\\x^2+6x+3=0[/tex]

We can solve the the quadratic equation by finding the discriminant.

[tex]x = \frac{-6+-\sqrt{6^2-4*1*3} }{2*1}[/tex]

[tex]x = \frac{-6+-\sqrt{36-12} }{2}[/tex]

[tex]x=\frac{-6+-2\sqrt{6} }{2}=-3+-\sqrt{6}[/tex]

Hence, the values of x are [tex]-3+\sqrt{6}[/tex] and [tex]-3-\sqrt{6}[/tex].

Discriminant

In arithmetic, a polynomial's discriminant is a function of the polynomial's coefficients.

Quadratic equation

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

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The number of significant figures in 10.1 is 3 as there are two digits before the decimal and one digit after the decimal.

The number of significant digit in 100.05 is 5 as there are 3 digits before the decimal and two digits after the decimal.

The number of significant digits in 120 is 2.

The number of significant digits in 129 is 3.

Hence, the correct answers are (A) and (D)digit

The formal way of writing a logarithm is the following:

Where "a" is the base of the logarithm and "b2 is the argument.

If "a = 10", then the base is not written, like this:

In the case that the base is the constant number "e" then the logarithm is called a "natural logarithm" and it is written as follows:

a) Recall that:

Therefore:

Therefore the minimum height of the Ferris wheel above the ground is 4 meters.

b) Recall that to evaluate a function at a given value, we substitute the variable by the given value, then, evaluating the given function at t=3 we get:

Simplifying the above result we get:

Therefore, the height of the Ferris wheel above the ground after 3 minutes is 16 meters.

(c) Let x be the time in minutes the Ferris wheel takes to complete one full rotation, then we can set the following equation:

Therefore:

Dividing the above equation by 30 we get:

Answer:

(a) 4 meters.

(b) 16 meters.

(c) 12 minutes.

Given:

The function f(x) = 3cos(x) - 2.

Required:

What are the minimum and maximum value of function?

Explanation:

To check maximum and minimum value of function.

First derivate the original function.

After putting first derivative equal to zero, critical points can be found.

Then, do second deritvative to check points of maxima and minima.

The critical points at which second derivative greater than zero. Point will be of minima.

The critical points at which second derivative less than zero. Point will be of maxima.

So,

Now, do second derivative test for maximum and minimum points

Answer:

at a sale a desk is being sold for 24% of the regular price. the sale price is $182.40 what is the regular price​

we have that

24% ------> represent $182.40

so

Applying proportion

Find out the 100%

Let

x ----> the regular price

182.40/24=x/100

solve for x

x=(182.40)*(100)/24

x=$760

therefore

Recall that the probability of a binomial distribution is given by

Where n is the number of trials, p is the probability of success, and x is the variable of interest.

nCr is the number of combinations.

For the given case, we have

n = 18

p = 0.8

x = 15

Let us find the probability P(X=15)

Therefore, the probability P(X=15) is 0.2297

Answer:

From the solution the largest possible integer value of x is;

Explanation:

Given the inequality;

To solve, let's add 1 to both sides of the inequality;

then let us divide both sides of the inequaty by -1.

Note: since we are dividing by a negative number the inequality sign will change.

Therefore, From the solution the largest possible integer value of x is;

In arithmetic progression, 9,15,21,27,33,39 is a₅ and    a₆ .

What is arithmetic progression?

a₁ = 9

a₂ = 15

a₃ = 21

Notice that a₂ - a₁ = 6 and a₃ - a₂ = 6

We can deduce that aₙ₊₁ = aₙ + 6

We can test this on the 4th term : a₄ should equal  21  + 6 = 27

Since this checks out we can say that the sequence is an arithmetic progression with a common difference of 6.

a₅ = 27 + 5 = 33

and

  a₆ = 33 + 6 = 39

7,0,-7,-14

find the common difference by substracting any term in the sequence from the term that comes after it.

 a₂ - a₁  = 0 - 7 = -7

 a₃ - a₂ = -7 - 0 = -7

 a₄ - a₃ = -14 - -7 = -7

the difference of the sequence is constant and equals the difference between two consecutive terms.

  d = -7

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