Find the length of AC. Round your answer to two decimal places.

Answer: 10 units

Step-by-step explanation:

     We will use the distance formula and solve. Let (3, 0) be point 1 and (-3, -8) be point 2.

d = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]

d = [tex]\sqrt{(-3-3)^{2} +(-8-0)^{2} }[/tex]

d = [tex]\sqrt{(-6)^{2} +(-8)^{2} }[/tex]

d = [tex]\sqrt{36 +64}[/tex]

d = [tex]\sqrt{100}[/tex]

d = 10

            The distance between the two points given is 10 units.

Answer:

16

Step-by-step explanation:

Given the following question:

[tex](5+3)\times(4-2)[/tex]

Solve using PEMDAS:

[tex](5+3)\times(4-2)[/tex]
[tex]5+3=8[/tex]
[tex]8\times(4-2)[/tex]
[tex]4-2=2[/tex]
[tex]8\times2=16[/tex]
[tex]=16[/tex]

Your answer is "16."

Hope this helps.

Answer:

4 1/8

Step-by-step explanation:

Answer:

  (d)  428,820,000 pounds of garbage

Step-by-step explanation:

Your calculator or spreadsheet can give you the product of two numbers expressed in scientific notation.

  (1.643×10^3 lb/resident) × (2.61×10^5 residents) = 4.28823×10^(3+5) lb

  ≈ 428.82×10^6 lb

  = 428,820,000 lb . . . of garbage

Answer:

Step-by-step explanation:

I guess it is 65 because the table said so

[tex]8\div \cfrac{2}{3}\implies \cfrac{8}{1}\div \cfrac{2}{3}\implies \cfrac{8}{1}\cdot \cfrac{3}{2}\implies \cfrac{8}{2}\cdot \cfrac{3}{1}\implies 4\cdot 3\implies 12[/tex]

Answer: I Think It Is Greater Than Or Equal To -9

Step-by-step explanation: The given function is:

f(x)x^2+2x-8

We complete the square to write this function in the form:

f(x)=a(x-h)^2+k

We add and subtract the square of half the coefficient of x.

f(x)=x^2+2x+1^2-1^2-8

f(x)=(x=1)^2-9

The vertex of this function is (h,k) which is (-1,-9)

The equation of axis of symmetry is x=h

But h=-1, hence the axis of symmetry isx=-1

To find the x-intercepts, we put f(x)=0

(x+1)^2-9=0

(x+1)^2=9

x+1=the square root of 9

x=-4, 2

The x-intercepts are:(

-4,0) and (2,0)

The given function is a polynomial function, the domain is all real numbers

The function has a minimum value of y=-9.

Therefore the range is y|y is greater that or less than -9

Answer:

A

Step-by-step explanation:

Pretty sure its correct

Answer:

$ 1.9125

Step-by-step explanation:

price of gas last week= $2.25

15% of $2.25 = 15/100 × 2.25

= $0.3375

since the price of the gas decreased by 15% this week, the new price will be 2.25- 0.3373 =$1.9125.

Answer:

It's answer is....abkt

Step-by-step explanation:

It's simple add all and there will be your answer

Answer:

Horizontal Asymptote at 0

Vertical Asymptote at -1

Step-by-step explanation:

Look at the attached image

(THE BLUE LINES ARE THE ASYMPTOTES)

The red line is the actual graphed function.

Answer:(0,4)

Step-by-step explanation:

Multiply 75 by the number of surfboards sold to get 75x add that to what he makes giving lessons:

250 + 75x

He wants to earn at least 500 so the equation has to be greater than or equal to 500:

Answer: 250 + 75x > equal to 500

Answer: both equations have the same solution because the second equation can be obtained by adding 4 to both sides of the first equation

eq 1 + 4:

= 3x+2 + 4 = -6 + 4

= 3x + 6 = -2 ⇒ eq 2

Answer:

For part A the answer is B (the second one)

For part B I would say there is a 50 percent chance for the chip to land on red so the students should have the last chip land on red on the 9th trial because there would be a more than fifty percent chance for the chip to land on red.

first trial 128/2 = 64,

second trial 64/2 = 32,

third trial 32/2 = 16,

fourth trial 16/2 = 8,

fifth trial 8/2 = 4,

sixth trial 4/2 = 2,

seventh trial 2/2 = 1,

eighth trial 1 chip 50/50 chance,

9th trial 1 chip 75/25 chance for the chip to land on red.

Let's check

See the word off side so it is deducted ,

General formula is ar^n-1

So correct answer is

Answer:

first find the slope

finding slope

y2-y1/x2-x1

-5-4/5-3

-9/2

then the slope is -9/2 or -4.5

then y=mx+b

y=-4.5x+b

then replace y=-4.5x+b

replace y by 4 and x by 3

4=-4.5times 3 +b

4=-13.5+b

b=17.5

then the equation is y=4.5x+17.5

if you have any question ask me thank you

Answer:

0.5 and 0.4

Step-by-step explanation:

I hope its help keep safe

The maximum possible salary for each player is calculated as $27,272.72

Data;

The maximum possible salary for a single player in each team can be calculated when we divide the total maximum allowed salary for the team by the total numbers of players. This would put all the players on an even pay or equal pay.

Let the maximum possible allowed salary be represented by x

[tex]x = \frac{60000}{22} \\x= 27,272.72[/tex]

The maximum possible salary for each player is calculated as $27,272.72

Learn more on ratios or proportions here;

https://brainly.com/question/1781657

Answer:

ok so first we have to find out what 1/3 of 2 is

2 divided by 3=2/3

then we have to find out 2/3 of 2.204

2/3*2.204=1.46933333333

which is aprox 1.47

c

Hope This Helps!!!

Trigonometric function gives the ratio of different sides of a right-angle triangle. The value of Cos(x), if the value of Sin(x) is 0.3 is 0.954.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As the value of  sin(x) is given to us, therefore, we will find the value of x firstly,

[tex]\rm Sin(x)=0.3\\\\x = Sin^{-1}\ 0.3\\\\x = 17.4576[/tex]

Therefore, the value of cos(x) can be written as,

[tex]\rm Cos(x)\\\\= Cos(17.4576)\\\\= 0.9539\approx 0.954[/tex]

We can also use the trigonometric property, therefore,

[tex]\rm (Sin\ x)^2 +(Cos\ x)^2=1\\\\0.3^2 + (Cos\ x)^2 = 1\\\\Cos(x) = \sqrt{1-0.3^2}\\\\Cos(x)=0.954[/tex]

Hence, the value of Cos(x), if the value of Sin(x) is 0.3 is 0.954.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

Answer:

5a + 8 = a - 8

Step-by-step explanation:

five times a number = 5 X a = 5a

plus 8 = 5a + 8

is equal to eight less than the number = a - 8

5a + 8 = a - 8

Answer:

2(54x-36)

Multiply each by two since you can't subtract them

108x-72 is answer most likely, if not, this is answer <<<

x-1.5 which shouldn't be the answer since above is the answer

Step-by-step explanation:

Answer:

  9a. 0.8

  9b. f(t) = 400(0.8^t)

  10.  B, C, E

Step-by-step explanation:

The growth factor (or factor of decrease) for a time period will be found by taking the ratio of the value at the end of the time period to the beginning value.

The population is 320 after 1 year. It started at 400 at the beginning of the year, so the factor of decrease is 320/400 = 0.80.

The exponential function can be written as ...

  f(t) = a·b^t . . . . . where 'a' is the initial population, and 'b' is the factor of decrease

The initial population is shown on the graph as 400; the factor of decrease is what we just computed.

  f(t) = 400(0.80^t)

__

An exponential function is one that has the independent variable as an exponent. That form is seen in selections B, C, E.

Answer: D

Step-by-step explanation:

I also took the Post Test/Unit Test

The value of k equivalent for the reaction expressed in scientific notation is 1.2 × 10⁻³. Then the correct option is D.

The equation in which chemically react with each other is called chemical reaction and if this reaction is shown mathematically then it is called a chemical equation.

The given chemical equation will be

[tex]\rm H_2 + F_2 \xrightarrow[equil.]{at\ 600} 2HF[/tex]

[HF] = 5.82 x 10⁻² m

[H₂] = 8.4 x 10⁻³ m

[F₂] = 8.4 x 10⁻³ m

The value of k equivalent for the reaction expressed in scientific notation will be

[tex]\rm k_{eq} = \dfrac{8.4*10^{-3}*8.4*10^{-3}}{5.82*10^{-2}}\\\\k_{eq} = 1.2 *10 ^{-3}[/tex]

More about the chemical equation link is given below.

https://brainly.com/question/20492533

Answer:

D

Step-by-step explanation:

Edge 2022

Answer:

x = 15units

Solving steps:

QS = 16 + 9

QS = 25

Cos(QSR) = RS/QS

Cos(QSR) = x/25

Cos(RST) = ST/RS

[tex] \frac{x}{25} = \frac{9}{x} [/tex]

=> [tex]x {}^{2} = 225[/tex]

=> [tex]x = \sqrt{225} [/tex]

=> x = 15

Answer:

A

Step-by-step explanation:

Rachel earned $6.00 a day for eight weeks for her summer job. She worked six days a week. How many dollars did she earn?

Rachel earned 288 dollars.

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