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Answer:

B

Step-by-step explanation:

Given W varies inversely as t² then the equation relating them is

W = [tex]\frac{k}{t^2}[/tex] ← k is the constant of variation

To find k use the condition W = 12 when t = 2, thus

12 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

k = 48

W = [tex]\frac{48}{t^2}[/tex] ← equation of variation

When W = 27, then

27 = [tex]\frac{48}{t^2}[/tex] ( multiply both sides by t² )

27t² = 48 → B

B)  27 t² = 48 will be the algebraic equation for t if W = 27.

In arithmetic, proportional or proportional meaning denotes equivalence between two ratios. In the equation a/b = c/d, a and b have the same percentage as c and d. A percentage is primarily established for solving a word problem using one of its four unknown quantities.

Given W varies inversely proportional to t² then the algebraic equation relating them is

W =  k / t² is the constant of variation

for k we can use the condition W = 12 when t = 2,Hence,

12 =  k / 2²

k = 48

When W = 27, then

27 = 48 / t²  ( multiply by t² )

Therefore, t in the form of algebraic equation is 27 t² = 48 Hence, option B is correct.

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Answer:

5h(7g - 3)

Step-by-step explanation:

35gh-15h

Factor 5h out

5*7*g*h - 3*5*h

5h(7g - 3)

Answer:

english plz !!!!!!!!!!

Step-by-step explanation:

Answer:

Marginal relative frequency is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values. ... Conditional relative frequency numbers are the ratio of a joint relative frequency and related marginal relative frequency

Answer:

Marginal relative frequency is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values. ... Conditional relative frequency numbers are the ratio of a joint relative frequency and related marginal relative frequency.

Step-by-step explanation:

Answer:

R = (1/t) (A/P - 1)

T = (1/r) (A/P - 1)

Answer:

its D 100%

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

Got 100% today :0

Answer:

The second on is correct

Step-by-step explanation:

Answer:

I can concur with this it is the 2 one :) hope this was helpful

Step-by-step explanation:

Answer:

50 divided by 8 is 6.25 so unit rate is 6.25 per wands. The first one 4×6.25= 25 so it does not match the same price per wands, the second one 6×6.25=37.50 match up to the same price per wands, the third one 10×6.25=62.50 does not match up to the same price per wands.

Answer:

2102.13 mm^2

Attached is a completed image of the question

Step-by-step explanation:

Given;

Radius of the circle r = KL = 27.1 mm

Angle of unshaded region = 32°

The total angle in a circle is 360°

Angle of shaded region θ = 360° - angle of unshaded region.

θ = 360° - 32° = 328°

The Area of a circle = πr^2

Area of shaded region A = (θ/360)πr^2

Substituting the given values;

A = (328/360)×π × 27.1^2

Area of shaded region A = 2102.13 mm^2

Answer:

368 square feet of orange paint.

292 square feet of grey paint.

Step-by-step explanation:

Here is a picture of my work that you can follow to show how i did it. hope this helps!

Let's call one triangle ABC, and M the midpoint of AB.

Let's call the other triangle DEF, and midpoint N of DE.

We have a congruent side, AB=DE, congruent medians CM=FN, and congruent angles, ∠AMC=∠DNF

AB ≅ DE  Given

AM ≅ BM and DN ≅ EN    Def median/midpoint

AM+BM=AB  and DN+EN=DE     Segment addition theorem

2AM=2BM=AB and 2DN=2EN=DE   Substitution (eg BM for AM)

AM ≅ BM ≅ DN ≅ EN        Transitivity, algebra

CM ≅ FN   Given

∠AMC ≅ ∠DNF   Given

ΔAMC ≅ ΔDNF     Side Angle Side

AC ≅  DF   CPCTC

∠BMC ≅ ∠ENF   Supplements of congruent angles are congruent

ΔBMC ≅ ΔENF     Side Angle Side

BC ≅  EF      CPCTC

Δ ABC ≅ Δ DEF   Side Side Side

Answer:

5 StartRoot 2 EndRoot ft its B

Step-by-step explanation:

The height of the roof is 5 StartRoot 2 EndRoot ft

Since the triangle is isosceles, hence the base angles will be 45 degrees

Using the SOH CAH TOA identity;

Given

Substitute

Cos 45 = h/10

h = 10cos45

h = 10 * 1/√2

h = 5√2

Hence the height of the roof is 5 StartRoot 2 EndRoot ft

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What are you trying to get? ill edit my answer once you tell me.

Answer:

mmm 30

Step-by-step explanation:

Answer:

she will be left with 25 dollars

Step-by-step explanation:

2.50 x 8=20

20+3+2=25

Answer:

Answer is 25 dollars.

Step-by-step explanation:

3$- 50 dollars= 47.

2.50 x 8= 20 dollars.

20$ -47 = 27.

2$- = 25

First off, notice that this is a right triangle.

You can use this to help write equation.

Equation : x+ (4x-85)=90. The correct answer is "c"

Answer: 5.6

Step-by-step explanation:

70 * 8/100

70 * .08

Answer:

sorry don't know

Step-by-step explanation:

Answer:

84 milligrams of caffeine

Step-by-step explanation:

5% of 140 is 7, and if its 5% every hour then you take away 7 for every hour, if there are 8 hours then its 7*8=56. You then subtract that number from 140 which is equal to 84

Step-by-step explanation:

The simplest possible form of f(n) is:

f(n) = n² + bn + c

f(n) / (n + 1) has a remainder of -12, so:

n² + bn + c = (n + p) (n + 1) − 12

n² + bn + c = n² + (1 + p)n + p − 12

b = 1 + p and c = p − 12

f(n) / (n + 2) has a remainder of -24, so:

n² + bn + c = (n + q) (n + 2) − 24

n² + bn + c = n² + (2 + q)n + 2q − 24

b = 2 + q and c = 2q − 24

Setting the expressions equal:

1 + p = 2 + q and p − 12 = 2q − 24

1 = p − q and p = 2q − 12

Solving the system of equations:

1 = q − 12

q = 13

p = 14

b = 15, c = 2

Therefore, f(n) is:

f(n) = n² + 15n + 2

Using grouping:

f(n) = n² + 3n + 2 + 12n

f(n) = (n + 1) (n + 2) + 12n

f(n) / ((n + 1) (n + 2) = 1 + (12n) / ((n + 1) (n + 2))

The remainder is 12n.

Answer:

1/5

Step-by-step explanation:

Answer:

65/63.

Step-by-step explanation:

65 is the hypotenuse, and JK is opposite angle < I  so

csc < I = hypotenuse / opposite side

= 65/63.

Answer:

Distance between the points (-9,2) and (-4,2):

D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5

=> Option A is correct

Answer:

B.13

Step-by-step explanation:

In order to solve the distance between two points you need the distance formula which is -> Distance = √  (x1 - x2)^2 + (y1 - y2)^2  

-9 would be x1 and -4 would be x2(so the first numbers of both sets)

Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)

You plug in the numbers to the formula.

Which would be:

Distance = √  (-9-4)^2 + (2-2 )^2

Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.

Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.

You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.

Answer:

Domain: x >0

Range : y < 0

Step-by-step explanation:

Answer:

The value of z-y is 14x/5

Step-by-step explanation:

The value of x decreased by 80% is → x - x * 80/100 = x - x*4/5 = x/5. This also equals to y → y = x/5.  (1)

The value of x increased by 200% is → x + x * 200/100 = x + 2x = 3x. This also equals to z → z = 3x.  (2)

If you substitute the values from the equation 1 and equation 2, the value of z - y → (3x) - (x/5) = 14x/5

Answer:

A)

400+3x+5000=12x

5400 = 9x

x =600

B)

Profit: zero (break even)

Total cost or Income from 600 Sales: $7200

Answer:

-3

Explanation:

4 + 3 = 7

7² = 49

2 · 5 = 10

49 ÷ 7 = 7

7 - 10 = -3

Answer:

-3

Step-by-step explanation:

Hi!

You would get -3.

You would use Pemdas to simplify the equation.

Pemdas is parenthesis exponents multiplication division additin and subtraction in the order to do them.

First, you would do the math in the parenthesis, which equals 7.

Then, you would use the exponent which would be 7 x 7 which is 49.

Next, you would use multiplication which is 2 times 5 which is 10.

Next, you would divide, which is 49 divided by 7 which equals 7.

Now, you go from left to right which would give you -3.

Hope this helps!

Answer:

y = – 3x + 4 and 3y = – 9x + 12, y = –3x + 4 and y = –6x + 8

Step-by-step explanation:

Consider all Options as to solve this problem;

Option A; Here we are given equations y = – 3x + 4 and y = – 3x – 4. A system of equations can only have infinitely many solutions if the two equations are one in the same, such that their graphical representation overlap one another. Now the difference between the two equations is that the second has a y - intercept of - 4, rather 4 such that they are not one in the same equation.

Option B; We are given the following equations; y = – 3x + 4 and 3y = – 9x + 12. Convert the second equation to point - slope form, so that they can easily be compared, by dividing the second equation by 3: 3y = –9x + 12 ⇒ y = - 3x + 4. y = - 3x + 4, and y = - 3x + 4 are one in the same equation, thus this system of equations has infinitely many solutions.

Option C; The equations y = –3x + 4 and y = - 1/3x + 4 are most certainly not the same provided the second equation has a slope of - 1 /3 comparative to that of the first equation's slope, - 3.

Option D; y = –3x + 4 and y = –6x + 8, are one in the same, as if yoy multiply the first equation by 2 you receive the second; y = –6x + 8

Solution( s ); y = – 3x + 4 and 3y = – 9x + 12, y = –3x + 4 and y = –6x + 8

The system of equations y = –3x + 4 and 3y = –9x + 12y has infinitely many solutions.

We need to find the system of equations below has infinitely many solutions.

The condition for the system of lines that has infinitely many solutions is [tex]\frac{a_{1} }{a_{2}} =\frac{b_{1} }{b_{2}}=\frac{c_{1} }{c_{2}}[/tex].

Now, y +3x - 4=0 and 3y+9x - 12=0

3/9=1/3=-4/-12=1/3

Therefore, the system of equations y = –3x + 4 and 3y = –9x + 12y has infinitely many solutions.

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Answer:

V =221.4 m^3

Step-by-step explanation:

The volume is given by

V = Bh

Where B is the area of the base

The base is the triangle

B = 1/2 (12) * 4.1

B = 24.6

The height of the figure is 9

V = 24.6 *9

V =221.4 m^3

Answer:

221.4 m³

Step-by-step explanation:

Volume = base area × height

Base area: ½ × 4.1 × 12 = 24.6 m²

height: 9 m

Volume = 24.6 × 9 = 221.4 m³

Answer:

acute

Step-by-step explanation:

the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral

Answer:

it D . acute and A .scalene

Answer:

Step-by-step explanation:

Answer:

9mm

Step-by-step explanation:

since volume is l x w x h, you have to divide 27 by 3. you can do this because it is a cube