52-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is two inches more than seven times the length of the first piece. Find the lengths of the pieces. The lengths of the first, the second, and the third pieces are in, in, and in respectively.

Answer:

C

Step-by-step explanation:

y = 1/2x^2 + 2x - 6

When, x = 0, y = - 6

you don't need to find another variable. Because in number C u can find a graph that has y= -6 when x =0.

The graph of the given equation is the graph C

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given is an equation, y = x²/2+2x-6, we need to identify the graph for the same,

y = x²/2+2x-6

Put x = 0,

y = -6

Point = (0, -6)

Put x = 2,

y = 2+4-6

y = 0

Point = (2, 0)

Put x = -6

y = 18-12-6

y = 0

Point = (-6, 0)

If we see all these points are lying in graph C, which means the graph C is satisfying the condition of the given equation,

Hence, the graph of the given equation is the graph C

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Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.

The net income formula:

y= (5 - 4)x - 120

(5-4)= contribution margin per unit sold (x)

120= fixed costs

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 120 / 1

Break-even point in units= 120 units

Prove:

y= 1*120 - 120

y= 0

Answer:

(i) From 0 to 50.

(ii) From 3 to 5.

(iii) From 3R to 5R, where R=3,4,5,...

Step-by-step explanation:

Let N be the number of players in a team.

As each team can have numbers of player ranging from 3 to 5, so

[tex]3\leqN\leq5\cdots(i)[/tex]

Let P be the points scored by one player in one round of the game.

As each player can score up to 10 points in each round of the game, so

[tex]0\leq P \leq 10\cdots(ii)[/tex]

(1) There are 5 members in the team formed by Elena.

So, points earned by 5 players in 1 round = 5P

From equation (ii), the range is

[tex]0\leq 5P \leq 50[/tex]

Hence, the points earned by Elena's team is ranging from 0 to 50.

(2) If each played misses 1 point, then,

Points earned by 1 player in 1 round = 10-1=9

Hence, points earned by 5 players in 1 round = 9x5=45.

(3) Let R (an integer) denoted the number of teams.

As there are at least 3 teams in the game, so

[tex]R\geq3\cdots(iii)[/tex]

As the number of players in one team is N, so

the number of players in R team is NR, where R=3,4,5,...

Now, from equation (i)

[tex]3R\leqNR\leq5R[/tex]

Hence, if there are at least 3 teams, then the number of players is ranging from 3R to 5R.

For R=3, the number of players in the game is ranging from 3x3=9 to 5x3=15.

Answer:look at step by step

Step-by-step explanation:how do I post questions and I’ll help you

Answer:

∠ A = 60°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{13}{15}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{13}{15}[/tex] ) ≈ 60°

------------------------------------------------

Using the cosine ratio in the right triangle

cosR = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RT}{RS}[/tex] = [tex]\frac{8}{10}[/tex] , thus

∠ R = [tex]cos^{-1}[/tex] ( [tex]\frac{8}{10}[/tex] ) ≈ 36.9° ( to 1 dec. places )

Answer:

If the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

Step-by-step explanation:

The exponential growth equation is:

[tex]f(x)=700(1+0.096)^{x}[/tex]

Compute the value of f (x) for x = 45.4 as follows:

[tex]f(x)=700(1+0.096)^{x}[/tex]

       [tex]=700(1+0.096)^{45.4}\\\\=700\times (1.096)^{45.4}\\\\=700\times 64.1799181\\\\=44925.94267\\\\\approx 44925.94[/tex]

Thus, if the balance is growing exponentially the balance after 45.4 months will be $44,925.94.

Answer:

$28

Step-by-step explanation:

S = Shirt N = Shoes

N = S + 17

N is equal to 45

45 = S + 17

S = 28

Answer:

98%.

Step-by-step explanation:

The following data were obtained from the question:

Test 1 (T₁) = 83%

Test 2 (T₂) = 91%

Test 3 (T₃) = 88%

Test 4 (T₄) =?

AVERAGE = 90%

We can obtain the score of 4th test by doing the following:

AVERAGE = (T₁ + T₂ + T₃ + T₄) /4

90 = (83 + 91 + 88 + T₄) /4

90 = (262 + T₄) /4

Cross multiply

90 × 4 = 262 + T₄

360 = 262 + T₄

Collect like terms

360 – 262 = T₄

T₄ = 98%

Therefore, Sam need to score 98% in the 4th test in order to have an average score of 90%.

In order to answer this question, we need to know how many teaspoons of vanilla you need for each cupcake. Reply the teaspoon amount and I’ll be happy to help!

Answer:

58

Step-by-step explanation:

Step-by-step explanation:

AD=DC

So angle A is equal to angle C

Let Angle A be x

And angle ABD is equal to 90 degree

So in triangle ADB

90+32+x=180 (angle sum property)

x=180-122

x=58

As angle A and angle C are equal

So angle C=58 degrees

Hope it helps

Answer:

A 1

Step-by-step explanation:

8x11=88

1x11=11

x2+12x+32

Factor out 2 from the expression

2(x+6x+16)

Collect like terms

2(7x+16)

Now we do the same thing only different way ok

x+6x

If a term doesn't have a coefficient , it is considered that the coefficient is 1

1x+6x

Collect like terms by adding their coefficients

(1+6)x

Add the numbers

7x

1+6=7

To add the numbers using a number line, start from zero.

Since 1 is positive, move the point 1 unit to the right.

Since 6 is positive, move the point 6 units to the right

The result is 7

Answer : 2(7x+16)

That's it . Hope it  wasn't too hard to understand?

Please give me as brainliest

Answer:

the block with '10%'

The whole is 100% and 10% divided by 10 is 10%

Answer:

Order summands

2

Subtract

5

.

1

5.1

5.1

from both sides of the equation

3

Simplify

4

Divide both sides of the equation by the same term

5

Simplify

Step-by-step explanation:

The point of collision is θ = π/6.

A curve's polar equation is often stated with r as a function of θ and represented in polar coordinates.

The given equations are r = √3 + 2cosθ and r = 4cosθ.

The characters will collide at the intersection of these paths, the intersection of the two equations is given by:

√3 + 2cosθ = 4cosθ

4cosθ - 2cosθ = √3

2cosθ = √3

cosθ = √3/2

θ = cos⁻¹(√3/2)

θ = π/6

Hence, the point of collision is θ = π/6.

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Answer:

poop

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Answer:

slope = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 14, - 18) and (x₂, y₂ ) = (- 10, - 12) ← 2 ordered pairs from the table

m = [tex]\frac{-12+18}{-10+14}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

D

Step-by-step explanation:

The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{CD}{AD}[/tex] = [tex]\frac{DA}{DB}[/tex] , substitute values

[tex]\frac{13}{x}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )

x² = 39 ( take square root of both sides )

x = [tex]\sqrt{39}[/tex] → D

Answer:

D is the answer

Step-by-step explanation:

Answer:

x = 12.48

Step-by-step explanation:

Simplifying

12(x + -13) = 13(12 + -1x)

Reorder the terms:

12(-13 + x) = 13(12 + -1x)

(-13 * 12 + x * 12) = 13(12 + -1x)

(-156 + 12x) = 13(12 + -1x)

-156 + 12x = (12 * 13 + -1x * 13)

-156 + 12x = (156 + -13x)

Solving

-156 + 12x = 156 + -13x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '13x' to each side of the equation.

-156 + 12x + 13x = 156 + -13x + 13x

Combine like terms: 12x + 13x = 25x

-156 + 25x = 156 + -13x + 13x

Combine like terms: -13x + 13x = 0

-156 + 25x = 156 + 0

-156 + 25x = 156

Add '156' to each side of the equation.

-156 + 156 + 25x = 156 + 156

Combine like terms: -156 + 156 = 0

0 + 25x = 156 + 156

25x = 156 + 156

Combine like terms: 156 + 156 = 312

25x = 312

Divide each side by '25'.

x = 12.48

Simplifying

x = 12.48

Answer:

x=72±2180313=72±21803√13

Step-by-step explanation:

Answer:

5.00

Step-by-step explanation:

5.00

Answer:

B. 3.805 x 10^7

Step-by-step explanation:

Answer:

The number series 1, 3, 5, 7, 9, . . . . , 59. Therefore, 900 is the sum of first 30 odd numbers.

The conjecture we can make is C. The sum is equal to the no. of terms squared.

According to the given question we have been asked What conjecture can you make about the sum of the first 33 positive odd natural numbers.

We know that the sum of first 'n' odd natural numbers is n².

So, the sum of first 33 odd natural numbers is (33)² which is = 1089.

Let us prove this by AP.

First term(a₁) is = 1.

common difference(d) = 2.

No. of terms (n) = 33.

∴ aₙ = a₁ + (n-1)d

aₙ = 1 + (33-1)2

aₙ = 1 + 32(2).

aₙ = 1 + 64.

aₙ = 65.

∴ S₃₃ = 33/2×[ 2(1) + (33-1)2].

S₃₃ = 33/2×[ 2 + 64].

S₃₃ = 33/2×66.

S₃₃ = 33×33.

S₃₃ = 1089.

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