A man is filling an empty 5-gallon bucket with water at a constant rate. There are
2.4 gallons of water in the bucket after filling the bucket for 12 minutes. At what
rate, in gallons per minute, is the man filling the bucket?

Answer:

X = 5

Step-by-step explanation:

You always do the inverse (opposite). 20 - 15 = 5, therefore the variable 'X' = 5. Also, if you add '6' to 'X', then it shall be ONE greater than 20.

Answer:

any real number greater than 5

Step-by-step explanation:

X+15> 20

X>20-15

X>5

(5,∞)

you can easily know by ;- 6+15>20

21>20 it's true

Answer:

Male: 38 46 84

Female: 88 24 112

Total: 126 70 196

Answer: 2

Step-by-step explanation:

The amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The function is defined as mathematics expression defines a relationship between one variable and another variable.

A amplitude of function is defined as periodic variable's amplitude is a measure of its change over a single period. A non-periodic signal's magnitude in relation to a standard value is its amplitude.

Given the function of graph as :

y = 2sin(4x - 1) + 3

Comparing the form asin(bx - c) + d to determine the amplitude, period, phase shift, and vertical shift.

Where a is amplitude , d is vertical shift , c/b is phase shift

Amplitude (a): 2

Period: π/2

Phase Shift (c/b): 1/4 (1/4 to the right)

Vertical Shift (d) : 3

Hence, the amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.

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Answer:

2.8

Step-by-step explanation:

5x = 20 - 6

5x/5 = 14/5

x = 2.8

Answer:

see file below.

Step-by-step explanation:

The matching of hyperbolas to their vertices is shown below.

The standard form of the equation of a hyperbola with center (h , k)

and transverse axis parallel to the x-axis is  (x - h)²/a² - (y - k)²/b² = 1

1. (x + 2)²/3² - (y - 5)²/4² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 3 , b = 4 , h = -2 , k = 5

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (1 , 5) , (-5 , 5)

2. (x - 4)²/8² - (y + 2)²/9² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 8 , b = 9 , h = 4 , k = -2

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (12 , -2) , (-4 , -2)

3. (y + 5)²/15² - (x - 1)²/8² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 15 , b = 8 , h = -5 , k = 1

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (-20 , 1) , (10 , 1)

4. (x - 4)²/8² - (y + 2)²/6² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 8 , b = 6 , h = 4 , k = -2

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (12 , -2) , (-4 , -2)

5.  (y - 3 )²/6² - (x + 7 )²/5² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 6 , b = 5 , h = 3 , k = -7

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (-3 , -7) , (9, -7)

6. (x - 3)²/5² - (y + 7)²/10² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 5 , b = 10 , h = 3 , k = -7

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (-2 , -7) , (8 , -7)

7. (y - 5 )²/7² - (x + 2 )²/8² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 7 , b = 8 , h = -2 , k = 5

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (5 , 5) , (-9, 5)

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Answer:

function is #4

domain is #2

range is #3

a vertical line test is #5

practical range is#8

practical domain is#7

function notation is#6

relation is #1

Step-by-step explanation:

hope this helps:)

Answer:

42 yard

Step-by-step explanation:

Area of deck = total area - area of pool

area of a rectangle = length x width

5 x 6 = 30

72 - 30 = 42

Answer:

C, The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

Step-by-step explanation:

Using error concepts, it is found that the consequence of a Type I error in this situation in this situation is given by:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

At the null hypotheses, it is tested if the weights are not heavier, that is:

[tex]H_0: \mu = 140[/tex]

At the alternative hypotheses, it is tested if they are heavier, that is:

[tex]H_1: \mu > 140[/tex]

A Type I error is the rejection of a true null hypothesis, that is, concluding that the weights are heavier and more profitable when they are not. Hence the correct option is:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

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Step-by-step explanation:

[tex] \sf ➜ {h}^{2} = {p}^{2} + {b}^{2} \\ \sf ➜ {(8.1)}^{2} = {(6.8)}^{2} + {x}^{2} \\ \sf ➜ {x}^{2} = {(8.1)}^{2} - {(6.8)}^{2} \\ \sf ➜ {x} = \sqrt{ {(8.1)}^{2} - {(6.8)}^{2} } \\ \sf ➜ x = \sqrt{65.6 - 46.2} \\ \sf ➜x = 19.4[/tex]

Answer:

y=90x+2,000

y=mx+b

Answer:

88

Step-by-step explanation:

(82+91+79+85+s) ÷ 5 ≤ 85

(337 + s) ÷ 5 ≤ 85

cross-multiply to get:

337 + s ≤ 85(5)

337 + x ≤ 425

x ≤ 425 - 337

x ≤ 88

Answer:

3/11

Step-by-step explanation:

3/25 = 0.12

3/16 = 0.1875

3/8 = 0.375

3/11 = 0.27272727272727...

The only one that has a repeating decimal is 3/11.

Answer:

35.5m

Explanation:

Find the diagram attached

First you need to get the missing side of the triangular pool using the pythagoras theorem;

Let the missing side be x

x² = 15² - 13²

x² = 225 - 169

x² = 56

x = √56

x = 7.48m

Amount of meter of fence needed is the perimeter of the triangular pool

perimeter of the triangular pool = 15 + 13 + 7.48

perimeter of the triangular pool = 35.48m

perimeter of the triangular pool = 35.5m

Hence the amount of meters of fence needed is 35.5m

Answer:

a 120

Step-by-step explanation:

Answer:

6.69

Step-by-step explanation:

the radius is from the outside of the circle to the center and the diameter is completely through so you would times 3.345 by 2 to get 6.69 which is your diameter

Answer:

6.69

Step-by-step explanation:

radius is D/2

therefore, r =d/2

so therefore, 2×r=d

that is: 2×3.345 = 6.69

Answer:

x intercepts are (-3,0) and (5,0), axis of symmetry is x=1, and vertex is (1,16), domain is (-infinity, infinity) and range is (-infinity, 16], maximum is (1,16) and minimum is -infinity, the y intercept is (0,15)

Step-by-step explanation:

Given:

Base length of triangle = 10 units

Height of triangle = [tex]\sqrt{44}[/tex] units

Length of hypotenuse of triangle = 12 units

To find:

Exact value of Cos A

Steps:

The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.

So,

Cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos A = [tex]\frac{10}{12}[/tex]

Cos A = 0.833

Therefore, the exact value of cos A is 0.833.

Happy to help :)

If u need any help, feel free to ask

Answer:

In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

Step-by-step explanation:

Answer: [tex]0.0756,\ 0.7599[/tex]

Step-by-step explanation:

Given

Probability that a coin will land head is [tex]0.3[/tex] i.e. probability of success is [tex]p=0.3[/tex] So, the probability of failure is [tex]q=1-0.3=0.7[/tex]

Using Binomial distribution for [tex]n=4[/tex]

(a) Probability that the coin will lead heads exactly 3 times

[tex]\Rightarrow P(3)=^4C_3(0.3)^3(0.7)^1\\\Rightarrow P(3)=4\times 0.7\times (0.3)^3\\\Rightarrow P(3)=0.0756[/tex]

(b)Probability that the coin lands head at least once

[tex]\Rightarrow 1-P(0)\\\Rightarrow 1-^4C_0(0.3)^0(0.7)^4\\\Rightarrow 1-1\cdot(0.7)^4\\\Rightarrow 0.7599[/tex]

Answer:

6 packets

Step-by-step explanation:

3 x 8 = 24

24 / 4 =

6

Answer:

1- B & C (Same answer and also I'm not that sure)

2- B: y = 8x (I'm sure of this ^^)

3- Option 3

4- 108 degrees

Answer:

1. C

2. B

3. Option 3

4. 108 degrees

Step-by-step explanation:

1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.

2. x is multiplied by 8 to create y, so the equation is y=8x

3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.

4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees

Answer:55%

Step-by-step explanation:

There are 20 in total with 11 shaded. Percentages are always out of 100,so 20x5=100 and you do the same with 11. So 11x5=55%.

Answer:

Step-by-step explanation:

Answer:y=0+3.2

The answer is y=0+-3.2

Answer:

[tex]y + (-y) = 0[/tex]

Step-by-step explanation:

Required

Which represents addition inverse

This property illustrates the addition of a number and its inverse (i,e, negation)

So, we have:

[tex]-y + y = 0[/tex]

or

[tex]y + (-y) = 0[/tex]

Answer:

X=12

Step-by-step explanation:

since it is an isosceles triangle opposite sides are congruent which means 7x+24=13x-48 you then would need to subtract either the whole numbers or the variables from each side so add 48 on each side it equals to 7x+72=13x then subtract 7x from 13x and you get 72=6x divide both sides 6/6=x, 72/6 Therefore x=12 HOPE that helped mark me brainiest pls

Answer: x = 12

Step-by-step explanation:

There are two triangles. The two vertical lines on the legs at the top indicate that those two sides are congruent or equal to each other. The line down the middle with the right angle box shows that the two triangles share a common side. This would show the two triangles are congruent through Side/Angle/Side. This would indicate that the two sides with equations are equal to each other. That being said, you can setup the equations to equal one another to solve for x:

[tex]7x + 24 = 13x - 48[/tex]

Now, you would just solve this like a normal equation. I would subtract the 7x from both sides a well as add the 48 to both sides. This would result to: [tex]72 = 6x[/tex]

Dividing both sides by 6 would get you:

[tex]x = 12[/tex]

Answer: 365 days five hours 40 minutes 45 seconds

Step-by-step explanation:

Answer:

An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A linear equation does not actually have solutions; rather, we find the locus of points (   x, y = f(x)   ) and draw a straight line through them.

It is a SYSTEM of linear equations that may or may not have solution(s).  

If one equation in this system is a multiple of the other, then the two equations represent the same line and the SYSTEM has infinitely many solutions.  The graphs of the two equations coincide/overlap.

Answer: 2¹/₄ cups of water

Step-by-step explanation:

The formula calls for water and lemon juice to be mixed in the ratio:

1/2   :    1/3

If the quantity of lemon juice increases to 1 1/2 which is 3/2 then you can find the quantity of water required using direct proportion:

1/2            :             1/3

x               :             3/2

Cross multiply to get:

1/3 x = 3/4

x = 3/4 ÷ 1/3

x = 3/4 * 3/1

x = 9/4

x = 2¹/₄ cups of water

Answer:

35

Step-by-step explanation:

track the number to the other side of the graph