A fish tank holds 175 gallons of water. Tom is emptying the tank and
removes 25 gallons per hour. Write an equation to model the situation,
where x represents time in hours and y represents the number of gallons
of water in the fish tank.

Answer:

[tex]f(3)=-5[/tex]

Step-by-step explanation:

We have the functions [tex]f(x)=-2x+1[/tex] and [tex]g(x)=4x-5[/tex]

We want to find [tex]f(3)[/tex]. So, we can use our first function.

Substitute 3 for x. This yields:

[tex]f(3)=-2(3)+1[/tex]

Multiply:

[tex]f(3)=-6+1[/tex]

Add:

[tex]f(3)=-5[/tex]

So:

[tex]f(3)=-5[/tex]

Answer:

where is the answer

Step-by-step explanation:

Answer:

Length of each shelf is 0.45 meters

Step-by-step explanation:

Given

[tex]Total\ Length = 2.25\ meters[/tex]

[tex]Shelves = 5[/tex]

Required

Determine the length of each shelf

This is calculated by dividing the total length by number of shelves as thus:

[tex]Length = Total\ Length/Number\ of\ Shelf[/tex]

[tex]Length = 2.25m /5[/tex]

[tex]Length = 0.45m[/tex]

Hence;

Length of each shelf is 0.45 meters

Answer:

0.45

Step-by-step explanation:

Answer:

Hi there!

Your answer is:

1050 liters per 6 days

Step-by-step explanation:

350liters per 2 days

*3 to determine 6 days

1050 liters per 6 days

Hope this helps

Answer:

1050

Step-by-step explanation:

350 liters per 2 days

to get 6 days you will need to multiple 2 by 3

you need to do that to 350 too

350   x    3 = 1050

your ration is 350:2

make it to

1050:6

let me know if you need more help

Answer:

D. (the one in the right hand bottom corner)

Answer:

Bottom right

Step-by-step explanation:

The equation is y = 2x - 3

2 represents the slope

-3 represents the y-intercept

The y-intercept is when x = 0

So first, we look at the graphs and find the graphs that display when x = 0, y = -3 aka (0, -3)

From this, we can deduce the two graphs on the left side are wrong

It must be the two on the right

Now we figure out which one has a slope of 2 aka rise over run = 2/1

Which graph goes up (rises) 2 units and goes forward (runs) 1 unit?

The top right graph depicts a slope of 1/2, not 2/1 so this is incorrect

The bottom right graph displays a slope of 2/1 aka 2

Bottom right graph is the correct answer

A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6.

Step-by-step explanation:

Answer:

The number of text messages is 85 ⇒ B

Step-by-step explanation:

To solve this question

The form of the linear equation is y = m x + b, where

Plan A:

∵ The fee per message is $0.10

∴ m = 0.10

∵ The monthly fee is $35

∴ b = 35

∴ The total cost y = 0.10 x + 35

Plan B:

∵ The fee per message is $0.30

∴ m = 0.30

∵ The monthly fee is $18

∴ b = 18

∴ The total cost y = 0.30 x + 18

∵ Both plans cost is the same for one month

→ Equate the right sides of the two equations

∴ 0.30 x + 18 = 0.10 x + 35

→ Subtract 0.10 x from both sides

∴ 0.30 x - 0.10 x + 18 = 0.10 x - 0.10 x + 35

∴ 0.20 x + 18 = 35

→ Subtract 18 from both sides

∴ 0.20 x + 18 - 18 = 35 - 18

∴ 0.20 x = 17

→ Divide both sides by 0.20

∴ [tex]\frac{0.20x}{0.20}=\frac{17}{0.20}[/tex]

∴ x = 85

∴ The number of text messages is 85

a) right

b) left

hope this helps

Answer:

y-intercept = 3

x- intercept = -1.5

Step-by-step explanation:

-4x + 2y = 6

+4x          + 4x

2y = 4x + 6

2          2

y = 2x + 3

Graph then you would get the coordinates of (0, 3) and (-1.5, 0)

Answer:

x intercept: (-3/2,0)

y intercept:(0,3)

Step-by-step explanation:

Answer:

a) The equation is:

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b) The 98% confidence interval = (5.62784, 6.37216)

Step-by-step explanation:

a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)

Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples

Mean = 6 days

Standard deviation = 1.6 days

Number of samples = 100

Z score of 98% confidence interval = 2.326

Confidence interval = 6 ± 2.326 × 1.6/√100

= 6 ± 2.326 × 1.6/10

= 6 ± 0.37216

= 6 - 0.37216

= 5.62784

6 + 0.37216

= 6.37216

Therefore, the 98% confidence interval = (5.62784, 6.37216)

Answer:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Step-by-step explanation:

Let the quantity of frosted donuts = [tex]x[/tex]

Let the quantity of glazed donuts = [tex]y[/tex]

Let the quantity of custard filled donuts = [tex]z[/tex]

As per question statements, following equations can be made:

[tex]x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)[/tex]

Putting [tex]x=2x[/tex] in (1) and (2):

[tex]y+3z=12 .... (4)\\y+9z=18 .... (5)[/tex]

Subtracting (4) from (5):

[tex]6z=6\\\Rightarrow z =\bold{1}[/tex]

By equation (3):

[tex]x=\bold{2}[/tex]

By equation (1):

[tex]y=\bold{9}[/tex]

Therefore, the answers are:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Answer:

lrrjrklrk

krknfene

lrrjrklrk

Step-by-step explanation:

krknfene

lrrjrklrk

krknfene

Answer:

the scientific notation is

5.017E10

Answer: The correct option is (B).

True. The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others and set is linearly dependent.  

Step-by-step explanation:  

Given that;

If V₁ ....... V₄ are in R⁴ and V₃ = 2V₁ + V₂ then {V₁, V₂, V₃, V₄} is linearly dependent.  

Lets {V₁, V₂, V₃, V₄}  are linearly dependent

Then there exist a scalars C₁, C₂, C₃, C₄

So that C₁V₁ + C₂V₂ + C₃V₃ + C₄V₄ = 0

where at least one of the Ci ≠ 0.  

Take C₃ ≠  0 then we have V₃ = (C₁V₁ + C₂V₂ + C₄V₄) / C₃

V₃ is a linear combination of V₁, V₂ and V₄}

that is

Given V₃ = 2V₁ + V₂

⇒ 2V₁ + V₂ - V₃ = 0

⇒ 2V₁ + V₂ + V₃ + 0V₃ = 0

Here, C₁ = 1, C₂ = 1,  C₃ = -1 and C₄ = 0

So that {V₁, V₂, V₃, V₄} is linearly dependent.

therefore option B id the right answer.

- True. The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others and set is linearly dependent.  

B is the correct option. True, The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others and the set is linearly dependent.  

If V₁ ....... V₄ are in R⁴ and V₃ = 2V₁ + V₂ then {V₁, V₂, V₃, V₄} is linearly dependent.  

A set of vectors is linearly dependent if some vector can be expressed as a linear combination of the others.

Let's consider {V₁, V₂, V₃, V₄}  are linearly dependent

then there exist a scalars C₁, C₂, C₃, C₄

therefore, C₁V₁ + C₂V₂ + C₃V₃ + C₄V₄ = 0

where at least one of the Ci ≠ 0.  

Lets C₃ ≠  0 then we will get

V₃ = (C₁V₁ + C₂V₂ + C₄V₄) / C₃

V₃ is a linear combination of V₁, V₂, and V₄

which means V₃ = 2V₁ + V₂

2V₁ + V₂ - V₃ = 0

2V₁ + V₂ + V₃ + 0V₃ = 0

Here, C₁ = 1, C₂ = 1,  C₃ = -1 and C₄ = 0

therefore, {V₁, V₂, V₃, V₄} is linearly dependent.

So, option B is correct here.

True. The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others, and the set is linearly dependent.  

Learn more about linearly dependent here;

https://brainly.com/question/15120462

Answer:

a

Step-by-step explanation:

15*20%=3

15-3=12

The graph has 2 intercepts, as it is a parabola with a degree of 2.

Answer:

y=-2x

Step-by-step explanation:

Hope this helps! :)

Answer:

20 or d

Step-by-step explanation:

Answer:

Its's $3 for an adult ticket and $1 for a student ticket

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Siri said thats right

Answer:

-18

Step-by-step explanation:

the square root of 324 is 18, so you add the negative sign, and get your answer

Answer:

I need a picture or example to answer

Step-by-step explanation:

Answer:

WEll first show the MAP. Then I will help.

Step-by-step explanation:

Answer:

100 miles

Step-by-step explanation:

Half an inch is.. half of an inch. If you want to find out how many miles per inch there are, multiply the amount of miles for every half inch (50) by 2.

Answer:

mode: 26 median: 25

Step-by-step explanation:

mode: because mode is what appears most, and thats 25

median: is what is in the middle so we cross some numbers off and we get 25

please mark brainliest

Answer:

[tex]\sqrt3[/tex]

Step-by-step explanation:

I'm assuming you're dealing with degrees.

If that's the case, then I would first find the closest multiple of 360 to that number.

360*20 = 7200, which is a bit too high; 360*19 = 6840, still a bit too high; 360*18 = 6480, perfect.

Now, just subtract 6480 from 6720 and you will get 240.

The answer is now simplified to tan 240, which can be expressed as sin(240)/cos(240).

240 degrees is 30 degrees away from 270, creating a 30-60-90 triangle.

That means cos(240) is -1/2 and sin(240) is -sqrt(3)/2.

Now, just divide:

[tex]-\frac{\sqrt3}{2}/-\frac{1}{2} = -\frac{\sqrt3}{2}\cdot-2 = \sqrt{3}[/tex]

Therefore, tan(6720 degrees) = [tex]\sqrt3[/tex]

Answer:

I dont know how to read hindi can u pls translate it into English

Using the uniform distribution, it is found that:

a) The height of the density curve is of 0.25.

b) 31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".

c) The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.

Uniform distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, uniform between 1 and 5, hence [tex]a = 1, b = 5[/tex]

Item a:

The height of the uniform distribution is:

[tex]h = \frac{1}{b - a}[/tex]

Hence:

[tex]h = \frac{1}{5 - 1} = 0.25[/tex]

Item b:

[tex]P(X > 3.75) = \frac{5 - 3.75}{5 - 1} = 0.3125[/tex]

0.3125 x 100% = 31.25%

31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".

Item c:

The 38% percentile is x for which P(X < x) = 0.38, hence:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

[tex]0.38 = \frac{x - 1}{4}[/tex]

[tex]x - 1 = 4(0.38)[/tex]

[tex]x = 2.52[/tex]

The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.

A similar problem is given at https://brainly.com/question/15855314

Answer:

Yes they are equivalent since you multiply by 10, you move the decimal place one spot to the right. It is very simple.

Step-by-step explanation:

Hope I could help :D