The table of values represents the function g(x) and the graph shows the function f(x).

Answer:

k=2.5

Step-by-step explanation:

7.6/2 = 3.8

9.5/3.8 = 2.5

Answer:

Step-by-step explanation:

7.6/2 =9.5/k

7.6k=2×9.5

k = (2×9.5)/7.6

k = 19/7.6

k= 2.5

vrify : 7.6/2 = 3.8  and 9.5/2.5 = 3.8   .....true

ANSWER

D. 4

EXPLANATION

The given polynomial is

[tex]3 {x}^{6} + 5 - {x}^{2} + 4 {x}^{5}- 9x[/tex]

The term in degree 5 in this polynomial is

[tex]4 {x}^{5} [/tex]

The coefficient of this term is the constant that is multiplying the variable raised to exponent 5.

This number is 4.

Therefore the coefficient of term in degree 5 is 4

The correct answer is D.

Answer:

6.25716517287

Step-by-step explanation:

Area of circle = π × r²

→ 123 = π × r²

⇒ Divide both sides by π

→ 39.1521160006 = r²

⇒ Square root both sides

→ 6.25716517287 = r

Answer:

4 inches

Step-by-step explanation:

If you divide 18 by 6, the answer is three, so it is scaled down 3x.

So, you have to divide 12 by 3, and the answer is 4.

Answer: 4 Inches

Step-by-step explanation: The rectangle on the left shows that the length is 18 inches and the height is 12 inches. Now, to find the height on the right, First we must realize what changed has been made from the left to the right. We know that our length has decreased to 6 inches from 18. 18 can be divided by 3 and that will give us the quotient of 6. Now, we must divide our height on our original rectangle by 3 as well. Once we divide, our new height of our rectangle also known as X will be 4 Inches Long.

Have A Great Day!

Answer:

Step-by-step explanation:

[tex]\text{If}\ \angle1\ \text{and}\ \angle2\ \text{are complementary, then}\ \angle1+\angle2=90^o.\\\\\text{We have:}\\\\\angle1=x^o\\\angle2=(3x+30)^o\\\\\text{Substitute:}\\\\x+(3x+30)=90\\\\(x+3x)+30=90\qquad\text{subtract 30 from both sides}\\\\4x=60\qquad\text{divide both sides by 4}\\\\x=15[/tex]

The value of x is 52.5.

The value of x can be determined by examining the given equations:

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Answer:

[tex]\large\boxed{x^6-y^6=(x-y)(x+y)(x^2+y^2-xy)(x^2+y^2+xy)}[/tex]

Step-by-step explanation:

[tex]x^6-y^6=x^{(2)(3)}-y^{(2)(3)}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=(x^2)^3-(y^2)^3\qquad\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\=(x^2-y^2)\bigg((x^2)^2+x^2y^2+(y^2)^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x-y)(x+y)\bigg((x^2)^2+2x^2y^2+(y^2)^2-x^2y^2\bigg)\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=(x-y)(x+y)\bigg((x^2+y^2)^2-x^2y^2\bigg)\\\\=(x-y)(x+y)\bigg((x^2+y^2)^2-(xy)^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x-y)(x+y)(x^2+y^2-xy)(x^2+y^2+xy)[/tex]

Answer:

(x²)³ - (y²)³ = (x² - y²)(x^4 + x²y² + y^4)

Step-by-step explanation:

x^6 - y^6 is the difference of two cubes:  (x²)³ - (y²)³.  Differences of cubes can be factored as follows:  a³ - b³ = (a - b)(a² + ab + b²).

Thus, (x²)³ - (y²)³ = (x² - y²)(x^4 + x²y² + y^4)

Answer:

The ones that give a rational number answer are:

C+D

A*B

C*D

A*A

Step-by-step explanation:

A+B does not give a rational number answer; √3+2√3 = 3√3

C+D is a rational number; √25=5 and √16=4; 5+4=9.

A+D is not a rational number; √3+√16 = √3+4

A*B is a rational number; √3*2√3 = 2√9 = 2*3 = 6

B*D is not a rational number; 2√3*√16 = 2√3*4 = 8√3

C*D is a rational number; √25*√16 = 5*4 = 20

A*A is a rational number; √3*√3 = √9 = 3

You can use the Pythagorean Theorem to find the hypotenuse. Then you should be able to find the altitude.

divide by 2 for each of the numbers

32/2=16

16/2=8

8/2= 4

Answer is 4

ANSWER

The next term in the given geometric sequence is 4.

EXPLANATION

We want to find the next term in the geometric sequence

32,16,8,

We can observe that there is a common ratio of

[tex] \frac{16}{32} = \frac{1}{2} [/tex]

This implies that, we obtain the subsequent terms by multiplying the previous terms by ½.

To obtain the next term after 8, we multiply 8 by half to get.

[tex] 8 \times \frac{1}{2} = 4[/tex]

Therefore the next term is 4.

the expression to represent "Nine less than the quotient of two and a number ( x )" is:[tex]\[ \frac{2}{x} - 9 \][/tex]

To represent "Nine less than the quotient of two and a number ( x )", we first need to find the quotient of two and ( x ), and then subtract nine from it.

Let's break it down:

1. Quotient of two and a number ( x ):

  This is represented as [tex]\( \frac{2}{x} \).[/tex]

2. Nine less than the quotient:

  Subtracting nine from the quotient gives [tex]\( \frac{2}{x} - 9 \).[/tex]

So, the expression to represent "Nine less than the quotient of two and a number ( x )" is:

[tex]\[ \frac{2}{x} - 9 \][/tex]

complete question given below:

Write an expression to represent: Nine less than the quotient of two and a number xxx.

Answer:

see explanation

Step-by-step explanation:

Given

Ax - bx - y = z ( add y to both sides )

Ax - bx = z + y ← factor out x from both terms on the left side

x(A - b) = z + y ← divide both sides by (A - b)

x = [tex]\frac{z+y}{A-b}[/tex]

ANSWER

C. sin 126°

EXPLANATION

-576° is coterminal with ±216,±144.

Therefore

cos (-576°)=cos(±216°)=cos(±144°)

The principal angle for -576° is 36° .

Since the terminal side of -576° is in the second quadrant and the cosine ratio is negative in the second quadrant,

cos (-576°)=-cos (±36°)

Also from complementary angles

cos (-576°)=-cos (36°)=-sin (90-36)=-sin(54°)

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

[tex]V=\pi r^2H[/tex]

r - radius

H - height

We have r = 6cm and H = 8cm. Substitute:

[tex]V=\pi(6^2)(8)=\pi(36)(8)=288\pi\ cm^3[/tex]

[tex]\pi\approx3.14\to V\approx(288)(3.14)=904.32\ cm^3[/tex]

Answer:

904.32 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the radius of the base and h the height )

here r = 6 and h = 8, so

V = 3.14 × 6² × 8

   = 3.14 × 36 × 8 ≈ 904.32 cm³

Final answer:

The expression that is 444 times as large as the expression 34 - 15 is (4 x 34) - 15.

Explanation:

To find the expression that is 444 times as large as the expression 34 - 15, we need to multiply the expression by 444. The correct expression is option C, which is (4 x 34) - 15. Let's break it down:

First, we perform the multiplication: 4 x 34 = 136.

Then, we subtract 15 from the result: 136 - 15 = 121.

Therefore, the expression (4 x 34) - 15 is 444 times as large as the expression 34 - 15.

A=24

B=76

C=25

D= 19

Step-by-step explanation:

.......

Final answer:

The probabilities are matched as follows: A-24%, B-76%, C-19%, and D-25%. These are calculated based on the total number of balls of each color and the fraction that are labeled to win a prize.

Explanation:

The question provides a scenario where there are 24 yellow balls and 76 red balls in a box, and one-fourth of each color are labeled "Win a prize." We are asked to match descriptions of probabilities with their corresponding percent values.

A: Probability that a randomly selected ball labeled "Win a prize" is yellow = (1/4 * 24) / ((1/4 * 24) + (1/4 * 76)) * 100 = 6 / (6 + 19) * 100 = 24%.

B: Probability that a randomly selected ball labeled "Win a prize" is red = (1/4 * 76) / ((1/4 * 24) + (1/4 * 76)) * 100 = 19 / (6 + 19) * 100 = 76%.

C: Probability that a randomly selected ball is labeled "Win a prize" and is red = (1/4 * 76) / 100 = 19%.

D: Probability that a randomly selected yellow ball is labeled "Win a prize" = (1/4 * 24) / 24 * 100 = 25%.

Answer:8>4n=6 or 8>4+n=6

Step-by-step explanation:

Let's solve the equation step by step. The problem statement can be translated into a mathematical equation:
"Eight more than the product of a number and 4 is equal to 6."
Let x be the number we are looking for. When the problem says "the product of a number and 4," we can express this as 4 * x or 4x. The phrase "eight more than" implies we are to add 8 to the product of the number and 4, making the expression 4x + 8. According to the statement, this expression is equal to 6. Thus, we write the equation as:
4x + 8 = 6
To find the value of x, we will follow these steps:
1. Subtract 8 from both sides of the equation to isolate the term with x on one side.
4x + 8 - 8 = 6 - 8
This simplifies to:
4x = -2
2. Divide both sides of the equation by 4 to solve for x.
4x / 4 = -2 / 4
This simplifies to:
x = -1/2
So the number we were looking for, represented as x, is -1/2.

Real numbers from 0 to sqrt(1000/16) = 0 to 2.5sqrt(10).

Before 0, it hadn't been dropped. After 2.5sqrt(10), it has hit the ground and stopped falling.Positive Real Numbers. This includes fractions of seconds, the other two don't.

The appropriate domain for the function describing the height of a ball dropped from a 1,000 feet high building as a function of time is 0 <= x <= 25 seconds, indicating the ball's descent time until it hits the ground.

The student has asked about the appropriate domain for a function describing a ball dropped from a height of 1,000 feet, given by the equation f(x) = 1,000 - 16x². To find the domain, we need to understand when the ball hits the ground, marking the end of its free fall and the function's practical use.

The height (f(x)) becomes 0 when the ball reaches the ground. Setting the equation to zero gives us 0 = 1,000 - 16x². Solving for x, we find x = 25 seconds. This means the ball will hit the ground after 25 seconds, indicating the end of its descent and the maximum value of x in the domain. Therefore, the appropriate domain for this function, representing the time from when the ball was dropped until it hits the ground, is 0 ≤ x ≤ 25 seconds.

Answer:

10

Step-by-step explanation:

The perimeter will also be halved:  (1/2)(20) = 10.

Example:  a rectangle of length 14 ft and width 8 ft has perimeter P = 2(14 ft) + 2(8 ft), or 28 ft + 16 ft = 44 ft.

If we halve the length and width, we get 7 ft and 4 ft, and the P is

2(7 ft) + 2(4 ft) = 14 ft + 8 ft = 22 ft, which is half of the original perimeter 44.

Answer: The correct answer is inverted

Step-by-step explanation:

Answer:

The constant term is 2

Step-by-step explanation:

The given polynomial is [tex]-3x^4-7x+2[/tex].

To find the constant term, we must make sure the polynomial is in standard form.

The constant term is the term that is independent of x.

Considering [tex]-3x^4-7x+2[/tex], the term that is independent of x is the last term which is 2.

Therefore the constant term is [tex]2[/tex].

The answer is:

The slope of the hill is equal to 2.

To solve the problem, we need to remember that the slope of a line, is the rate of increase or decrease of the line.

From the statement we know that the tallest peak of the roller coaster is 310 feet (y), while the roller coaster travels 155 horizontal feet (x), so, calculating we have:

[tex]Slope=\frac{height}{base}=\frac{y}{x}[/tex]

Then, substituting the given information and calculating, we have:

[tex]Slope=\frac{310ft}{155ft}=2[/tex]

We have that the slope of the hill is equal to 2.

Have a nice day!

Answer:

The slope of the hill is equal to 2

Step-by-step explanation:

Savvas realize benchmark test

ANSWER

D. 18 m^2

EXPLANATION

The area of a kite is half the product of the diagonals.

The diagonals of the kite are

3+3=6m

and

2+4=6m

The area of the kite

[tex] = \frac{1}{2} \times 6 \times 6[/tex]

[tex] = 3 \times 6[/tex]

[tex] = 18 {m}^{2} [/tex]

The correct answer is D.

The area of kite using the diagonal length 6m and 6 m is 18 m².

Thus, option (d) is correct.

Given:

length of diagonal 1 = 3+ 3 = 6 m

length of diagonal 2 = 2+ 4 = 6 m

Using the formula of Area of Kite

[tex]{\text} Area of kite[/tex] = [tex]\dfrac{1}{2} *[/tex] [tex]{\text} product \; of \;diagonal[/tex]

Now, substituting the values of diagonal into the formula as

[tex]{\text} Area of kite[/tex] = [tex]\dfrac{1}{2} *[/tex] [tex]{\text} (6 * 6)[/tex]

                   = [tex]\dfrac{1}{2} *[/tex] [tex]{\text} (36)[/tex]

                   = 18 m²

Thus, the area is 18 m².

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For this case we have the following numbers:

[tex]\frac {11} {18} = 0.611111111111\\\frac {5} {9} = 0,555555555556[/tex]

Note that [tex]\frac {11} {18}[/tex]is greater than[tex]\frac {5} {9},[/tex] so the inequality sign must be placed with the opening towards [tex]\frac {11} {18}[/tex].

Answer:

[tex]\frac {11} {18}> \frac {5} {9}[/tex]

Answer:

Step-by-step explanation:

An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

Therefore we have the equation:

[tex]\dfrac{x+8}{10}=\dfrac{2x-5}{14}[/tex]              cross multiply

[tex]14(x+8)=10(2x-5)[/tex]             use the distributive property

[tex](14)(x)+(14)(8)=(10)(2x)+(10)(-5)[/tex]

[tex]14x+112=20x-50[/tex]           subtract 112 from both sides

[tex]14x=20x-162[/tex]           subtract 20x from both sides

[tex]-6x=-162[/tex]         divide both sides by (-6)

[tex]x=27[/tex]

Answer:

the correct answer is x = 3x - 5

First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides

x^2 + 20x + (100 - 7) = 7 - 7

x^2 + 20x + 93 = 0

Now you must find two numbers who's sum equals 20 and their multiplication equal 93

Are there any? NO!

This means that you have to use the formula:

[tex]\frac{-b±\sqrt{b^{2} - 4ac} }{2a}[/tex]

In this case:

a = 1

b = 20

c = 93

[tex]\frac{-(20) plus/minus\sqrt{20^{2} - 4(1)(93)} }{2*1}[/tex]

[tex]\frac{-20 plus/minus\sqrt{400 - 372} }{2}[/tex]

[tex]\frac{-20 plus/minus\sqrt{28} }{2}[/tex]

^^^We must simplify √28

√28 = 2√7

so...

[tex]\frac{-20 plus/minus 2\sqrt{7} }{2}[/tex]

simplify further:

[tex]-10 plus/minus\sqrt{7[/tex]

-10 + √7

or

-10 - √7

***plus/minus = ±

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

2.16 * (10^-5).

Step-by-step explanation:

5 = -log H+

5 = log (1 / H+)

1/ H+ = 10^5

H+ = 10^-5

In a similar fashion  the other brand has H+ of 10^-4.5.

So the difference in hydrogen ion concentration =  10^(-4.5) - 10^(-5)

= 2.16 * (10^-5).

2.16 × 10⁻⁵ is the  difference in the concentration of hydrogen ions between the two brands of vinegar.

pH is a numerical indicator of how acidic or basic aqueous and other liquid solutions are. The phrase, which is frequently used in biology, agronomy, and chemistry, converts the hydrogen ion concentration, which typically ranges between 1 and 1014 gram-equivalents per litre, into numbers ranging from 0 to 14.

The hydrogen ion concentration in pure water, which has a pH of 7, is 107 gram-equivalents per litre, making it neutral (neither acidic or alkaline). A solution having a pH below 7 is referred to as acidic, and one with a pH over 7 is referred to as basic, or alkaline.

5 = -log H+

5 = log (1 / H+)

1/ H+ = 10^5

H+ = 10^-5

difference=  10^(-4.5) - 10^(-5)

               = 2.16 × 10⁻⁵

Therefore, 2.16 × 10⁻⁵ is the  difference in the concentration of hydrogen ions between the two brands of vinegar.

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Answer:

162

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Distribute the 1/2:

1/2(8x+4)

4x + 2

Distribute the 1/3:

1/3(9-3x)

3 - x

Add:

4x + 2 + 3 - x

3x +5

I hope this helps!

Answer:

D

Step-by-step explanation:

Distribute the 1/2:

1/2(8x+4)

4x + 2

Distribute the 1/3:

1/3(9-3x)

3 - x

Add:

4x + 2 + 3 - x

3x +5

I hope this helps!

I copy and pasted the answer above mine

The number of more scoops of strawberry were sold than vanilla is 4. Therefore, option C is the correct answer.

A bar graph is a graph that shows complete data with rectangular bars and the heights of bars are proportional to the values that they represent. The bars in the graph can be shown vertically or horizontally. Bar graphs are also known as bar charts and it is a pictorial representation of grouped data.

From the given graph, number of scoops of strawberry sold is 10 and the number of scoops of Vanilla sold is 6.

Difference = 10-6

= 4

Therefore, option C is the correct answer.

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