The problem says find equivalent expressions that have the LCD picture of problem below

Answers

Answer 1

Answer: $(x)/(x^2-4):(x-3)/(x-2)=(x)/((x+2)(x-2))\cdot(x-2)/(x-3)=(x)/((x+2)(x-3))=(x)/(x^2-x-6)$

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What is the 10th term of the geometric sequence 400, 200, 100...?

Answers

ANSWER

$a_ {10} = (25)/(32)$

EXPLANATION

The given geometric sequence is

400, 200, 100...

The first term is

$a_1=400$

The common ratio is

$r = (200)/(400) = (1)/(2)$

The nth term is

$a_n=a_1( {r}^(n - 1) )$

We substitute the known values to get;

$a_n=400( (1)/(2) )^(n - 1)$

$a_ {10} =400( (1)/(2) )^(10 - 1)$

$a_ {10} =400( (1)/(2) )^(9)$

$a_ {10} = (25)/(32)$

MULTIPLE CHOICE, PLS HELP!!θ lies in Quadrant II .

sinθ=4/7

What is the exact value of cosθ in simplified form?

Answers

We know that : Sin²θ + Cos²θ = 1

Given : Sinθ $\bf{= (4)/(7)}$

$\bf{\implies ((4)/(7))^2 + Cos^2(\theta) = 1}$

$\bf{\implies Cos^2(\theta) = 1 - (16)/(49)}$

$\bf{\implies Cos^2(\theta) =((49 - 16)/(49))}$

$\bf{\implies Cos^2(\theta) =((33)/(49))}$

$\bf{\implies Cos(\theta) = (\pm)((√(33))/(7))}$

Given : θ lies in Quadrant II

We know that : Cosθ is Negative in Quadrant II

$\bf{\implies Cos(\theta) = (-)((√(33))/(7))}$

Option 3 is the Answer

John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. Write an equation to model this situation, and find the cost of one large drink.A. 3d + $14.00 – $7.00 = $12.10; $1.90

B. 3d – $14.00 + $7.00 = $12.10; $9.55

C. 3d + $14.00 – $7.00 = $12.10; $1.70

D. 2d + $14.00 – $7.00 = $12.10; $2.55

Answers

Answer:

The equation to model this situation is 3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .

Option (C) is correct .

Step-by-step explanation:

As given

John and 2 friends are going out for pizza for lunch.

They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10.

let us assume that the numbers of large drinks are represented by d .

Than the equation becomes

Total money spend = Number of drinks × d + Pizza cost - Gift certificate amount .

Putting all the values in the above

12.10 = 3d + 14.00 - 7.00

Simplify the aboves

12.10 = 3d + 14 - 7

12.10 = 3d + 7

12.10 - 7 = 3d

5.1 = 3d

$d = (5.1)/(3)$

d = $ 1.7

Therefore the equation to model this situation is 3d + $14.00 – $7.00 = $12.10 and the cost of one large drink is $1.7 .

Option (C) is correct .

Its no D because you need to divide by 3 not 2. Your answer should be C.

Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = –2?a) (x-3)^2 = 20(y-1)
b) (y-1)^2 = 20(x-3)
c) (y-1)^2 = -20(x-3)
d) (x-3)^2 = 20(y-1)

Answers

Answer with Step-by-step explanation:

We have to find:

the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = –2

General form of Parabola that opens left or right:

(y−k)²=4p(x−h)

Vertex =(h,k)

Directrix: x=h−p

Here, h=3,k=1 and h-p=-2 i.e. p=h+2=5

Hence, equation of parabola in this case equals

(y-1)²=4×5(x-3)

i.e. (y-1)²=20(x-3)

Hence, correct option is:

b) (y-1)²=20(x-3)

Hello,

Remenber:
if S=(0,0) y²=2px then F=(p/2,0 and d:x=-p/2

Let's pose
x'=x-3
y'=y-1 axes passing by the point (3,0) in base (x,y) and (0,0) in base (x',y')

y'²=2p'x'
d': x'=-5=-p'/2 ==> p'=10 and y²=20x'
Returning in base (x,y) : (y-1)²=20(x-3)

Answer B

A restaurant chain ordered 3945 pounds of rice in 20 pound bags. About how many 20 pound bags of rice did the chain ordered ?

Answers

$3945:20=197,25\n \nbags\ must\ be\ whole,\ so\ the\ chain\ did\ 198\ bags\ ordered.$

divide 3945 by 20 to see how many full bags have to be bought then if you need part of a bag you have to buy one extra 193 full bags 3940 pounds and one extra bag for the other 5 pounds

HELP ME ASP I NEED A GOOD GRADE ON THIS.

Answers

Answer: Just follow the chart

Step-by-step explanation:

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