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Answer:

The water bottle holds 9 cups of water.

Step-by-step explanation:

1 bottle = 72 oz (ounces)        1 cup = 8 oz (ounces)      1 bottle = ? cups

72 ÷ 8 = 9

9 cups = 72 oz (fluid ounces)

1 bottle = 9 cups

The water bottle holds 9 cups of water.

Here, we have,

given that,

A water bottle holds 72 ounces of water.

so, we get,

1 bottle = 72 oz (ounces)

now, we know that,      

1 cup = 8 oz (ounces)      

so, we have to find that,

1 bottle = ? cups

we have,

if 8 oz = 1 cup

then, 72 oz = 72/8 cups

i.e. we get,

72 ÷ 8 = 9

9 cups = 72 oz (fluid ounces)

1 bottle = 9 cups.

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The true statement about the function in the table is that slope of m(x) is negative while slope of n(x) is positive

The equation of line in slope intercept form is written as

y = mx + c where m = slope and the y intercept is c

from the table the simultaneous equation is derived and solved as follows

-5/2 = 2m + c

1/2 = 0 + c

hence c = 1/2, solving for m gives

-5/2 = 2m + 1/2

-5/2 - 1/2 = 2m

2m = -3

m = -3/2

hence the slope is negative

for the second the values

1 = 2m + c

-1/3 = 0 + c

c = -1/3

solving for m knowing that c = -1/3

1 = 2m + (-1/3)

1 + 1/3 = 2m

4/3 = 2m

m = 2/3

hence the slope is positive

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Answer:

246.000

Step-by-step explanation:

..............

Answer:

[tex] y = \frac{1}{7}x + 2[/tex]

Step-by-step explanation:

Answer: 29/8 You were correct. You cannot simplify this problem any further. :)

Step-by-step explanation:

convert to improper fraction and find the common denominator

Answer:

18

Step-by-step explanation:

z = 7

4z - 10

= (4×7) - 10

= 28 - 10

= 18

Answer:

18

hope you like it

Answer:

For the exercise 3

1)14

2)8

3)18

Answer:

14

Step-by-step explanation:

Answer:20 hours

Step-by-step explanation:

4 hours =10days

y hours =50days

50/10=5

5x4=20

Answer:

Tamara will receive 20 hours of paid vacation time if she works 50 days.

Hope this helps!

Step-by-step explanation:

10 days = 4 hours

10*( 5 ) = 4*( 5 )

50 days = 20 hours

Answer:

98

Step-by-step explanation:

8 + (2 x 5) x 3^4 / 9

= 8 + (10) x 81 / 9

= 8 + 10 x 9

= 8 + 90

= 98

Answer: The expression is not factorable with rational numbers.

Step-by-step explanation:

Use the formula (b/2) to the 2nd power in order to create a new term in order to find the perfect square trinomial. 4c2+20cd+106d2

Answer: 19/45

Step-by-step explanation:

1/5 + 2/9 = ?

Find the least common denominator.

which in this case is 45

5 times 9 = 45

Multiply 1/5 by 9/9

Multiply 2/9 by 5/5

9/45 + 10/45= 19/45

Answer: y = 9x+ 8

Step-by-step explanation:

The slope intercept form is y=mx+b

m = slope

b = y-intercept (0, 8)

Answer:

the answer to part B is 5+7+3x5

Step-by-step explanation:

Answer:

33.33M2 as a decimal and 100/3 M2 as a fraction

Step-by-step explanation:

I had the question on khan academy and got it right when I put it in as a FRACTION

Answer: (D)

Step-by-step explanation:

if you look at D the box is divided into 4 different part. And 3 of those parts are shaded. So if 3 out of 4 parts are shaded it would be 3/4.

The exponential functions have the values of x as;

19) 0.53

20)  5.6

We know that when we are told that a function is an exponential decay function, what it means is that the function is decreasing with time. Thus we are going to put a negative sign and the point of the exponential.

Now we have;

19)

Initial value = 100

Decay rate = 0.95

f(x) = 60

Thus;

60 =100e^-0.95x

60/100 = e^-0.95x

0.6 = e^-0.95x

ln(0.6) = -0.95x

x = ln(0.6) /-0.95

x = 0.53

For 20;

Initial factor = 5000

Decay factor = 0.7

f(x) = 100

Thus;

100 = 5000e^-0.7x

100/5000 = e^-0.7x

0.02 = e^-0.7x

ln(0.02) = -0.7x

x = ln(0.02) / -0.7

x= 5.6

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4/9                   or it would be 0.444444 and so on but the answer is 4/9

Answer:

the answer is 5h

Step-by-step explanation:

there isnt really out numbers so the answer is just 5h.

i really hope this helped you.

Answer:

C

Step-by-step explanation:

If you divide 180 divided by 30, it will be 6, and 6 divided by 1 is 6.

30 x 6 = 180

1 x 6 = 180

30/1 = 180/6

Answer: here

Step-by-step explanation:

8 (1.25) x = 15 8(1.25)^x=15 8 (1.25) x = 15. There are two ways: by using a graph or by using a table. Here, I will use a graph since using a table was already discussed

Using a graphing calculator the value of x is sought by tracing from point 15 up to the curve, at the point of intersection with the curve then trace to the corresponding y direction. At 15 the f(x) is about 227

A curve that depicts an exponential function is known as an exponential graph.

The curve have a horizontal asymptote and either an increasing slope or a decreasing slope. this is to say that the curve begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates. It may or may not cut the x-axis, but it always cuts the y-axis at some point.

An exponential graph will almost always have a y-intercept but not necessarily an x-intercept.

The corresponding value of each point is located by tracing it using imaginary line

From the x axis at 15  draw an imaginary line up to the curve. the point of intersection of the line and the curve is traced to the y axis. The value at that point gives the required the solution

The graph is attached

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Answer:

31

Step-by-step explanation:

20 x 155= 3100

3100/100 = 31

Answer:

10

Step-by-step explanation:

The vertical length is 2 units and Horizontal length is 6 units.

The distance between two (a, b) and (c, d) is

d= √(c- a)² + ( d- b)²

Given:

Points from graph (-2, 1) and (4, -1)

Using Distance Formula

d = √ ( 4 - (-2))² + (-1 - (-1))²

d= √ 6² + 0

d= 6 units

Vertical Length (-2, 1) and (-2, -1)

Using Distance Formula

d = √ ( -2 - (-2))² + (-1 - (1))²

d= √ 0 + 4

d= 2units

and Horizontal Length (-2, -1) and (4, -1)

Using Distance Formula

d = √ ( 4 - (-2))² + (-1 - (-1))²

d= √ 6² + 0

d= 6 units

Hence, the vertical length is 2 units and Horizontal length is 6 units.

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Answer:

Step-by-step explanation:

The pairs of coordinates should be matched with the distances between them should be matched as follows;

Pairs                      Distance                 

(4, 2) and (1, -2)   → 5 units.

(-8, 7) and (2, -3)  → √200 units.

(9, 1) and (1, 9)      → √128 units.

(-2, -6) and (-8, 2)  → 10 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

For the ordered pairs (4, 2) and (1, -2), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(1 - 4)² + (-2 - 2)²]

Distance = √[(-3)² + (-4)²]

Distance = √(9 + 16)

Distance = √25

Distance = 5 units.

For the ordered pairs or points (-8, 7) and (2, -3), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(2 + 8)² + (-3 - 7)²]

Distance = √[(10)² + (-10)²]

Distance = √(100 + 100)

Distance = √200 units.

For the ordered pairs or points (9, 1) and (1, 9), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(1 - 9)² + (9 - 1)²]

Distance = √[(-8)² + (8)²]

Distance = √(64 + 64)

Distance = √128 units.

For the ordered pairs or points (-2, -6) and (-8, 2), we have;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-8 + 2)² + (2 + 6)²]

Distance = √[(-6)² + (8)²]

Distance = √(36 + 64)

Distance = √100

Distance = 10 units.

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Answer:

A = -5/3

B = 52

C = 13

D = -2

Step-by-step explanation:

I recommend using Photomath. It both solves such math problems and also provides explanations!

Answer:

A = -5/3

B = 52

C = 13

D = -2

Answer:x =4/5

Step-by-step explanation:

{3}{4}x=-3+3x

Answer:

a

Step-by-step eaxplanation:

Answer: 0.78-(1-0.34)

Step-by-step explanation

To solve this equation you need to create an algebraic expression.

algebraic expression: mathematical statement with  at least 2 terms which can be numbers are variables.

To solve this expression:

1. Take the given info and put it in an equation

0.78-(1-0.34)

Let's consider an exponential decay function.

As an example, let's look at [tex]f(\text{x}) = 100(0.5)^{\text{x}}[/tex]

Here is a table of selected values:

[tex]\begin{array}{|c|c|} \cline{1-2}\text{x} & \text{f(x)}\\\cline{1-2}0 & 100\\\cline{1-2}1 & 50\\\cline{1-2}2 & 25\\\cline{1-2}3 & 12.5\\\cline{1-2}4 & 6.25\\\cline{1-2}5 & 3.125\\\cline{1-2}6 & 1.5625\\\cline{1-2}\end{array}[/tex]

As x gets bigger, y = f(x) is slowly approaching y = 0. It will never get to this exact value because we keep taking half of the previous y value (eg: we go from y = 25 to y = 12.5); there's no way to arrive at zero through this continuous halving process. If x/2 = 0, then x itself must be 0. But we started off with a nonzero value.

Visually, the curve is slowly approaching the x-axis. We say that the horizontal asymptote is y = 0 which is directly overlapping the x-axis. Think of the asymptote as an electric fence you can get closer to but not actually touch.

See the graph below. I used Desmos to create the graph.