Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.. Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second. After how many seconds will the boats be traveling the same speed?

Answer:

linear function

Step-by-step explanation:

The given function is linear function.

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3[tex]x[/tex] - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with g([tex]x[/tex]), this function can be written as g([tex]x[/tex] )= 3[tex]x[/tex] - 2.

A linear function is of the form g([tex]x[/tex]) = m[tex]x[/tex] + b where 'm' and 'b' are real numbers. Here,

Given:

y = 800 - 114.29[tex]x[/tex]

year     accumulated          

            depreciation    

0          0                      

1          114.29              

2          228.58                

3          342.87                

4          457.16                  

5          571.45                  

6          685.74                  

7          800          

Learn more about this concept here:

https://brainly.com/question/19544044

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Answer:

I understand this problem as follows.

We have a bottle (the bottle is empty at the beginning)

Now, as we start to fill the bottle, we do a graph of height vs volume.

Where height is the height of the liquid inside the bottle, and volume is the volume of liquid inside the bottle.

suppose that here you need a volume V to reach a height H.

Now, if we increase the width of the bottle, we are increasing the volume of the bottle.

This means that we should pour a larger volume of liquid to reach the same height as before.

V' = V + d, to reach the same height H.

Then the steepness of the graph decreases.

Answer:

[tex]-6+4=-2\\-2+8=6\\-3-4=-7\\7-8=-1[/tex]

Answer:

No solution

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Answer:

it is b because I did the math and got that

Answer:

3 or B

Step-by-step explanation:

The positive becomes a negeative turning your problem into 5 - 2 = 3

Answer:

30+6+80+1= 117

Step-by-step explanation:

Answer:

You cannot distribute this question.

Evaulated, however, would give you 117

Hey there! I'm happy to help!

28(5280)=147840 feet per hour.

There are 60 minutes in an hour. To find out how many feet Bolt runs in a second we divide by 60.

147840/60=2464

And we divide by sixty again to get to seconds.

2464/60=41 1/15 feet per second.

Have a wonderful day! :D

Multiply to feet.

28 * 5280 = 147840

Divide by an hour in minutes.

147840 / 60 = 2464

Divide by a minute in seconds.

2464 / 60 = 41 1/5 ft/s

Best of Luck!

Answer:

The correct answer is C

Step-by-step explanation:

Just trust the process

Answer:

52

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

12 subtracted from 3 times a number is 15

(3-12)=15

Answer:

Distance-Rate-Time and other Products

In this lesson, we will investigate the relationship between the distance traveled, the rate or speed or travel, and the time that it takes to travel that distance at that rate. We will also look at a few other related products.

Distance = (Rate)(Time)

The equation that relates distance, rate, and time is

d = rt

Where d is the distance traveled, r is the rate, and t is the time. On the CAHSEE exam, you will be given two of these and will be asked to use the above equation to find the third.

Example 1

It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?

Solution

We are given that it takes 1/2 an hour for the trip. This is a time:

t = 1/2

We are given that he averages 34 miles per hour. This is a rate:

r = 34

We are asked how few he has traveled. This is a distance. We use the d=rt equation:

d = rt

= (34)(1/2)

= 17

Markus lives 17 miles from work.

Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.

Exercise 1

The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?

9 miles

Example 2

Elena always rides her bicycle at a speed of 15 miles per hour. On Sunday, she goes on a 24 mile bike ride. How many hours does this ride take?

Solution

The speed of 15 miles per hour is a rate. The key words that tell us that this is a rate are "speed" and "miles per hour". We can write:

r = 15

Next, 24 miles is a distance. We have:

d = 24

Now use the d=rt equation to get

24 = 15t

To solve this, divide both sides by 15 to get

t = 24/15

Both are divisible by 3, so this fraction reduces to

t = 8/5 = 1.6

Elena's ride takes 1.6 hours.

Answer:

[tex]a=10[/tex]

Step-by-step explanation:

Equation 1:  [tex]2a+3b=-1[/tex]

Equation 2: [tex]4a+2b=26[/tex]

Subtract 3b from both sides in Equation 1:

[tex]2a=-1-3b[/tex]

Divide both sides by 2:

[tex]\frac{2a}{2}=-\frac{1-3b}{2}[/tex]

[tex]a=\frac{-1-3b}{2}[/tex]

Substitute this into Equation 2:

[tex]4* \frac{-1-3b}{2}+2b=26[/tex]

[tex]2\left(-3b-1\right)+2b=26[/tex]

[tex]-6b-2+2b=26[/tex]

[tex]-4b-2=26[/tex]

Add 2 to both sides:

[tex]-4b=28[/tex]

Divide both sides by -4:

[tex]\frac{-4b}{-4}=\frac{28}{-4}[/tex]

[tex]b=-7[/tex]

We know that [tex]a=\frac{-1-3b}{2}[/tex]. Plug in b = -7 value:

[tex]a=\frac{-1-3\left(-7\right)}{2}[/tex]

[tex]a=\frac{-1+3\cdot \:7}{2}[/tex]

[tex]a=\frac{20}{2}[/tex]

[tex]a=10[/tex]

Answer:

You subtract 116 from 48 and then the answer is 68°

Answer:

There is something called "criteria of congruence for triangles".

Those criteria say that, with some data of the triangles, we can know if the triangles are equivalent.

For example one of the criteria is SSS.

Side-side-side.

This means that all the triangles with equal side length for all their sides are equivalent.

So if the information that we give to the factory is the side length of the 3 sides of the triangle, the triangle will be well defined.

Following those criteria, the other 2 options can be:

SAS

Side-Angle-Side

(so you can give the length of two sides and the angle between them)

ASA

Angle-Side-Angle.

(You can give the value of two angles and the length of the side between those two angles)

Answer:

40x30= 1200, 20x15=300, 300/1200= 1/4.

Step-by-step explanation:

You can also visualize it. Imagine a field 40’ long and the boy cut the top 20’ of it but left 20’ of the bottom, he would have cut half of it at this point. Now it’s 30’ wide and he cut the left 15’ of what’s remaining but left the right 15’ uncut. So now there’s a 20’x15’ bottom right corner left uncut. There are 4 sections that are 20’x15’ and he left one out of four uncut, otherwise written as 1/4.

Answer:

Solve for a.

a+4

3

a+2

5

(1 point)

O-1

07

0-7

O 1

Answer: 45 / 40 ft

Step-by-step explanation:

Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?

Actual width of shorter side = 45 ft

New width of shorter side = 40 ft

Scale factor is the ratio of the actual length to the new or intended length

Scale factor = Actual width / New width

Hence, scale factor :

45 ft / 40 ft

Answer:

x = -22/3, y = -17/2

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

4d=44

4d/4=44/4

d=11

the cost is 11$ per dress

Answer:

r = -14

Step-by-step explanation:

-2r - 14 = 14

add 14 to each side

-2r = 28

divide by -2

r = -14

Answer: I am doing this quiz right now I think the answer is C, 600.

Step-by-step explanation:

I think the higher you increase the sample size, the closer you get to the actual parameter.

The sizes that should be  closest to the actual parameter value of a population is option c. 600.

It represent the amount of the parameter that can be in the form of the mean or the standard deviation. Also, it helps for determining the confidence interval.

Also, we know that if the sample size is high so there should be more precise for the estimate.

So as per the given options, the option c is correct.

Learn more about population here: https://brainly.com/question/24526520

1.4 is less than 1.5

Step-by-step explanation:

Method 1 data from internet

[tex] \sqrt{2} = 1.414213562373095........[/tex]

[tex] \sqrt{2} < 1.5[/tex]

or Method 2

[tex] \sqrt{2} ....1.5 \\ [/tex]

[tex] { \sqrt{2} }^{2} ..... \: \: {1.5}^{2} \\ [/tex]

2 ..... 2.25

square root2 < 1.5

[tex]\text{Hey there!}[/tex]

[tex]\bf{3(4x + 1) - (5x + 7)}[/tex]

[tex]\text{FIRST: distribute the NEGATIVE sign}[/tex][tex]\text{(On the RIGHT side of the problem/equation)}[/tex]

[tex]\bf{-1 (5x + 7)}[/tex]

[tex]\bf{-1(5x) + -1(7)}[/tex]

[tex]\bf{-1(5x) = -5x}[/tex]

[tex]\bf{-1(7) = -7}[/tex]

[tex]\bf{\underline{= -5x - 7}}[/tex]

[tex]\text{SECOND: distribute the LEFT side of the problem/equation}[/tex]

[tex]\bf{3(4x+1)}[/tex]

[tex]\bf{3(4x) + 3(1)}[/tex]

[tex]\bf{3(4x) = 12x}[/tex]

[tex]\bf{3(1) = 3}[/tex]

[tex]\bf{\underline{12x+3}}[/tex]

[tex]\text{THIRD: make the new equation}[/tex]

[tex]\text{Equation becomes: \bf{12x + 3 - 5x - 7}}[/tex]

[tex]\text{FOURTH: COMBINE your like terms}[/tex]

[tex]\bf{(12x - 5x) + (3 - 7)}[/tex]

[tex]\bf{12x - 5x = 7x}[/tex]

[tex]\bf{3 - 7 = -4}[/tex]

[tex]\text{ANSWER}[/tex]

[tex]\boxed{\text{Thus, your answer is: \boxed{\huge\text{\bf7x - 4}}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer: C y=2-x

Step-by-step explanation:

Answer:

There are 24000 seats in section A,  14200 in section B  and  9800 in section C.

Step-by-step explanation:

There are 24000 sears in section A,  14200 in section B  and  9800 in section C.

Answer:

[tex]f(-3)=-17[/tex]

Step-by-step explanation:

→ Substitute in t = -3 into [tex]f(t)=-2t^{2} +1[/tex]

[tex]f(-3)=-2*-3^{2} +1[/tex]

→ Simplify

[tex]f(-3)=-2*9 +1[/tex]

→ Simplify

[tex]f(-3)=-18 +1[/tex] ⇔ [tex]f(-3)=-17[/tex]

Answer: $7

Step-by-step explanation:

Let x = Cost of each T-shirt.

As per given,

Total charge  =( Number of t shirts x Cost per t shirt )+ set up fee  

For 21 T-shirts , total charge would be : 21x+40  

According to the question

⇒21x+40=187

⇒21x = 187-40

⇒21x = 147

⇒x= 7

Hence, each T-shirt costs $7 .

Answer:

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT =  Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

Answer:

rectangular is 114ft and triangular is 112ft

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT =  Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

Answer:

i know

Step-by-step explanation:0.6