The total number of gallons of water in a tank, w, after t minutes is given in the table and the graph below. What is an equation showing the relationship between w and t? A. w = 2t B. w = 2 + t C. w = 4t D. w = 4 + t

Answer:

Step-by-step explanation:

The letters are easy enough.

y^3 determines that 3 ys are needed. y^2 is taken in by the cubed.

x^4 determines that 4 xs are needed. x^3 is part of x^4 and you don't need any more xs

12 and 42 are the parts that will cause the problem. Factor them both into prime factors

12: 2 * 2 * 3

42: 2 * 3 * 7

You need two 2s.

You need one 3

You need one 7

LCD = 2 *2*3 * 7 = 84

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Answer:

y = 3x + 5

Step-by-step explanation:

Since this is a linear function, its graph is a straight line stretching from - infinity to infinity on both x and y axes, hence domain and range is all real numbers from - infinity to infinity.

Answer:

2 hours 30 minutes = goal

Saturday = 1 hour 10 minutes

Sunday = 1 hour 15minutes

Total = 2 hours 25 minutes

No he will not meet his goal. He will be short 5 minutes of practice.

Explanatiory:

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Answer:

ill see im on the yest rn

Step-by-step explanation:

Answer:

 [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]

Step-by-step explanation:

[tex]\frac{x^2 + y^2}{x^4}[/tex] = [tex]\frac{x^2}{x^4}[/tex] + [tex]\frac{y^2}{x^4}[/tex] = [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]

The solution of the expression (x²+y²)/x⁴ is [(1/x² + y²/x⁴)].

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is  (x²+y²)/x⁴. The expression will be solved as,

E =  (x²+y²)/x⁴

Separate the terms into two fractions,

E =  (x²+y²)/x⁴

E = (x²/x⁴) + ( y² / x⁴)

Divide the divisible terms and solve,

E = (1/x² + y²/x⁴)

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Answer:

6

Step-by-step explanation:

Answer: 6 2/3

4/3 * 5

20/3

6 2/3

Step-by-step explanation:

(f+g)(x) means we just add the 2 functions, so we have

(x-3) + 2x² = 2x² + x - 3

(f-g)(x) means we subtract g(x) from f(x), so we have

(x-3) - (2x²) = -2x²+x-3

Assuming that the dot signifies a multiplication sign and not a composition  sign, we have

(f*g)(x) = f(x) * g(x)

= (x-3) * 2x²

= 2x³ - 6x²

Plugging -2 in, we get

2(-2)³-6(-2)² = -16 -24 = -40

Answer:

Step-by-step explanation:

Answer:

2 years

Step-by-step explanation:

1) principle:$5000

Rate : 10%

S.I = $1000

Therefore length of time =

S.I x 100 divided by Principle x rate

= 1000 x 100 divided by 5000 x 10

Answer= 2 years.

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Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52

Answer:

19%

interest earned = base × time × rate

interest rate = interest earned/ base × time

76/800*2 = 0.19 = 19%

Answer:

i want  to help... but there is no picture :/

Step-by-step explanation:

picture is gone D:

.

Step-by-step explanation:

you can let

then connect this 2 points

Answer:

4%

Step-by-step explanation:

Given

Formula

Solving.

Change 0.04 to percent

Answer:

Answer:1.72Gal

Step-by-step explanation:1 Gal is 3.785 L. 6.5 / 3.785 = 1.72

Answer:

UV=5, VW=5[tex]\sqrt{3}[/tex], and m∠U=60

Step-by-step explanation:

sin 30=UV/10=>0.5=UV/10=>UV=5

VW=√(10²-5²)=√75=5√3

m∠U=180-90-30=60

The definite value for p is 9.

But how are 8, 7, or 6 the value of p?

I personally think that you should contact the teacher who made this question. He/She probably meant to say What IS the value for p?

You use algebra to get the value for p:

20p-45 = 9p + 5p

Start solving from there.

Answer:

They need to wash 72 cars

Step-by-step explanation:

2000 - 1640 = 360

360/5 = 72

Work Shown:

82% of 20 = 0.82*20 = 16.4 which rounds to 16

Answer:

c

Step-by-step explanation:

First off, we know that (g ° f)(2) is just both functions done in a ordered fashion. In this case, f(x) is done first.

To figure out what f(2) is, all we have to do is find where x = 2 is on the graph. In this case it is on point (2, 3). The input is the x and the output is the y, so f(2) = 3.

Then, we can figure out what g(3) by locating x = 3 on line g. It shows the point (3, 0). This means that g(3) = 0.

Triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

A triangle is a three-sided polygon that consists of three edges and three vertices.

Triangle NLM is reflected over the line segment and form the  triangle ABC.

Triangle NLM is reflected over the line segment to form triangle ABC. This means that the corresponding sides and angles of the two triangles are congruent.

The reflection over a line segment preserves the orientation of the triangle, so the order of the letters in the names of the triangles should remain the same.

Therefore, triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

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cp of 40 l of milk=6.50*40=260

sp of 56 l of mixture=56*7=392

392-260=132

gain%=132/260*100=50.76%

The numerators in each term are consecutive integers ≥ 6. If n = 1 refers to the first term, then the numerator of the n-th term would be n + 5.

The denominators are consecutive odd integers ≥ 7. Odd numbers take the form 2k - 1, where k is any integer, and 2k - 1 = 7 when k = 4. But we want our sequence to start at n = 1, so we replace k here with n + 3. Then the denominator of the n-th term would be 2 (n + 3) - 1, or 2n + 5.

The odd-indexed terms are negative, while the even-indexed terms are positive. We can account for the sign of the term by multiplying by (-1)ⁿ.

Taking everything together, it follows that the n-th term in the sequence is

[tex]a_n = (-1)^n \dfrac{n + 5}{2n+5}[/tex]

Answer:

x = 125

Step-by-step explanation:

Tangents from an external point to a circle are congruent , that is

CA = CB

Then Δ ABC is isosceles with base angles being congruent

∠ BAC = ∠ ABC = [tex]\frac{180-70}{2}[/tex] = [tex]\frac{110}{2}[/tex] = 55°

∠ ABC and x are adjacent angles on a straight line and sum to 180° , so

x = 180° - 55° = 125°

Then x = 125

This is the possible solution. If the question isn't set up right Please tell me and I'll fix what needs to be changed. All the best

the given system of equations has no Solution.

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given, a system of equations:

X- 7y = -21......(1)

2x -14y =-42.....(2)

From equation 1

x = -21 + 7y

Substitute the value in equation 2

2(-21 + 7y) -14y-14y = -42

Since the given equation are same

Therefore, given equations have no Solution.

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Answer:

  x² +3x -50 = 0

Step-by-step explanation:

The area expression you got in part (a) is ...

  A = (x +8)(x -5) = x² +3x -40

If the area is to be 10, then x must satisfy the equation ...

  10 = x² +3x -40

  x² +3x -50 = 0 . . . . . . subtract 10 and put in standard form