2.) During typhoon ambo PAGASA tracks the amount of the accumulating rain fall. For the first three hour's of typhoon that rain fell at a constant rate of 25 mm per hour. The typhoon slows down for an hour ad started again at a constant rate of 20 mm per hour for the next 2 hour's . Write a piecewise function that models the amount of rain fall as function of time.
(this is for a friend)​

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that :

First 3 hours, rain fell at a constant rate of 25mmper hour

Next one hour, tmrain slowed down

Next 2 hours, rate of 20mm per hour

Piecewise function which models the situation :

________{25t ; t in range {0, 3)

f(x)______{75 ; t in range {3,4}

________{75 + 20(t-4) ; t in range {4,6}

Hence, the function.


Related Questions

would a boxplot of the data 113, 116, 116, 116, 118, 118, 119, 119, 122, 124, 124, 124 allow you to find the mean and the median?

Answers

The answer is yes it would

Which is the graph of x - y = 1

Answers

Answer: its is the third one C.)

Step-by-step explanation:

Solve the following literal equation for y: k = 5y + m

Answers

Answer:

y = (k-m)/5

Step-by-step explanation:

We want to solve the equation for y

k = 5y + m

we want to make y the subject of the formula

k -m = 5y

y = k-m)/5

x ÷ 4 + 5= 8 I need someone to do it and double check for me please.​

Answers

= x/4 + 5 = 8

= x/4 = 8 - 5 ( transposing +5 from LHS to RHS changes +5 to -5 )

= x/4 = 3

= x = 3 × 4 ( transposing ÷4 from LHS to RHS changes ÷4 to ×4 l

= x = 12

Let us see whether the value of x is correct or not by placing 12 in the place of x .

= 12 ÷ 4 + 5 = 8

= 3 + 5 = 8

= 8 = 8

= LHS = RHS

Which means the value of x we found out is correct .

Therefore , x = 12 .

Step-by-step explanation:

[tex] \frac{x}{4} + 5 = 8 \\ x + 5 = 32 \ \\ x = 32 - 5 \\ x27[/tex]

PWEASE help me (7th grade math work) will mark as a Brainliest and pls show work

Answers

Answer:

15%

Step-by-step explanation:

this week sold = $2,760

last week sold = $2,400

the difference from this week to last week = 2700-2400 = 360

that means it increased : 360 / 2400 = 0.15 (100%) = 15%

therefore, the increase of sale is 15%

determine which is less expensive per can a 6 pack of soda for 2.20 or a 12 pack of soda for 4.25 explain​

Answers

Answer:

the 12 pack would be cheaper

Step-by-step explanation:

first you would find the price of one can   (2.20/6)=.37 and (4.25/12)=0.354

the cheapest would be the 12 pack

Solve:
12 + 5 + 3’2 x 10 - 5 =
(12 + 5) + 3'2 x (10 – 5) =

Answers

Answer:

1) 102

2) 62

Step-by-step explanation:

12 + 5 + 3²  × 10 - 5

12 + 5 + 9 × 10 - 5

12 + 5 + 90 - 5

17 + 90 - 5

107 - 5

102

(12+5) + 3² × (10 - 5)

(17) + 9 × (5)

17 + 45

62

Hi :)

12 + 5 + 3^2 x 10 - 5 = 102

(12 + 5)+ 3^2 x (10 - 5) = 62



12 + 5 + 3^2 x 10 - 5

Add 12 and 5 to get 17
17 + 3^2 × 10−5

Calculate 3 to the power of 2 and get 9
17 + 9 × 10 − 5

Multiply 9 and 10 to get 90
17 + 90 − 5

Add 17 and 90 to get 107
107−5

Subtract 5 from 107 to get 102


(12 + 5)+ 3^2 x (10 - 5)


Add 12 and 5 to get 17
17 + 3^2 x (10 - 5)

Calculate 3 to the power of 2 and get 9
17 + 9 x (10−5)

Subtract 5 from 10 to get 5
17+ 9 × 5

Multiply 9 and 5 to get 45
17+45

Add 17 and 45 to get 62.

Hope this helps :)

how do I graphy y = 2/3x - 1​

Answers

Answer:

Look Below, if I'm wrong then ignore this answer.

Step-by-step explanation:

If we were to use the formula y=mx+b, 2/3 is the slope and (0,-1) is the y intercept, so the x intercept must be about (1.5,0), so the graph is probably

You graph 223 into 66 by taking a shower to solve the stomach

You start at (6, 8). You move right 4 units and left 2 units. Where do you end?

Answers

Answer:

8,6

Step-by-step explanation:

You would end up at (8,8)because moving to the right or left would only impact your x column leaving your y column the same

Derek spends $3 on breakfast and $5.50 on lunch every school day. How much does he spend on breakfast and lunch in a school week?

Answers

Answer

42.5 is the answer

Step-by-step explanation:

this question has several steps. Derek goes to school 5 days a week. Add 5.50 and 3 together and multiply it by 5.

5.50 + 3= 8.50

8.50 × 5= 42.5

A line passes through (-2, 5) and has a slope of what is the equation of the line in point-slope form?
y+ 2 = } (x - 5)
A.
B.
y-5= (x + 2)
O C. y= {x +
3
o
D.
y+5 = (– 2)

Answers

y-5=m(x+2) is the answer in point slope form

Answer:

it actually y=1/3x+17/3

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 1/3. So you can right away fill in the equation for a line somewhat to read:

y=1/3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-2,5). When x of the line is -2, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,5).

So, why not plug in for x the number -2 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-2,5). y=mx+b or 5=1/3 × -2+b, or solving for b: b=5-(1/3)(-2). b=17/3.

The equation of the line that passes through the point (-2,5) with a slope of 1/3

is

y=1/3x+17/3

There's your explanation

Evaluate 3x^2+1 when x=-1

Answers

Answer:

10

Step-by-step explanation:

3(-1)=-3

-3^2=9

9+1=10

2a(b + c) = d , Solve for b

Answers

Answer:

b=d/2a -c

Step-by-step explanation:

b+c=d/2a (Divide 2a on both sides to elimnate the 2a on the left side)

b=d/2a -c (Subtract c on both sides to elimnate the c on the left side)

Answer: b=d/2a -c

Hope this helps!

You start at (-3, 5). You move right 3 units and down 7 units. Where do you end?

Answers

Answer:

(0,-2)

Step-by-step explanation:

-3 plus 3 equals 0 and 5 minus 7 equals -2, so (0,-2).

6.4n + 10= 4.4n - 6
Could you help? Thanks

Answers

Answer:

n=-8

Step-by-step explanation:

6.4n + 10= 4.4n -6

Subtract 4.4n on both sides

You then have 2n+10=-6

Subtract 10 on both sides You then have 2n=-16

Divide both sides by 2

n= -8

Hoped that helped

Answer:  n= -8

Step-by-step explanation:

Get all the n's on one side, all the regular numbers on the other  

Add or subtract from both sides

6.4n -4.4n +10  =  4.4n -4.4n -6   So 4.4n -4.4n = 0, "cancels' on right

2.0n  +10 -10 = -6 -10     10's cancel on the left.  -6-10 .=-16 on right

2n = -16    (.0 is not needed in 2.0)  Divide both sides by 2

n = -8  

NEED HELP! A line has a slope of 9/7 and a y-intercept of 1/3. Which of the following is an equation of the line?

A 27x - 21y = -7

B 27x + 21y = 1

C 9x + 7y = 3

D 7x - 9y = -3


Please show work so I could understand this!

Answers

Answer:

A

Step-by-step explanation:

Take a look at the slope-intercept form of the equation .

[tex]y=mx+c[/tex]

Slope of 9/7 and y-intercept of 1/3 means replace m which is slope and c is the y-intercept which becomes

[tex]y=\frac{9}{7}x+\frac{1}{3}[/tex]

now we take LCM of 7 and 3 which becomes

[tex]y=\frac{27x+7}{21}[/tex]

and then,

[tex]21y=27x+7[/tex]

so A is our Answer

if arrange the equation accordingly

[tex]27x-21y=-7[/tex]

Lucia deposits $44.60 into her bank account on Tuesday Morning. Tuesday afternoon, she withdraws to $26.30 and $21.30. Does Luisa have more or less money on Tuesday night than she did on Monday night? Does this equation tell whether Luisa has more or less money on Tuesday night than Monday night? Explain.

Answers

Answer:

Less than

Step-by-step explanation:

Using the data from the question, we can create the following equation to solve this...

44.60 - (26.30 + 21.30) = x

44.60 - (47.60) = x

-3 = x

As you can see Lucia withdrew more money than what she actually deposited which means that her account balance on Tuesday Night is less than what it was on Monday night before the initial deposit. This can all be seen using the above equation which is designed.

What is 8455 divided by 89?

Answers

Answer:

95

Step-by-step explanation:

8455/89 is 95

Six friends shared 79 trading cards and kept a record of how they did it. What does 13 represent? the answers are- The number of trading cards each friend ended up with The number of trading cards left after each friend got the same amount The number of trading cards left after each friend got 10 The number of friends sharing trading cards

Answers

Answer: The number of trading cards each friend ended up with

Step-by-step explanation:

Given that:

Total Number of trading cards = 79

Number of friends = 6

Number of trading cards each friend got of shared equally :

Total Number of trading cards / number of friends

= 79 / 6

= 13.166

Highest number of cards got by each = 13

Number left : 79 - (13 * 6) = 1

Hence, 13 represents the number of trading cards each friend ended up with

Fredrick manages a band and sings lead vocals. The band charges $700 per concert. Fredrick receives $175 of that money, and he shares the rest equally among the other 5 members of the band. How much money does each of the 5 band members receive per concert?
A. $105
B. $112
C. $175
D. $525

Answers

Answer: the answer would be A 105

Step-by-step explanation:

1. Express 12-2 as a unit fraction.

Answers

Answer:

12/2

Step-by-step explanation:

The answer is 12/2, have a good day

Select the correct texts in the passage (see picture)​

Answers

Answer:

Step 2 was the first mistake and the second option is the answer.

Step-by-step explanation:

Julia incorrectly factored the -1 from the second group of terms.

The correct option is (B)

What is expression?

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

2x^4 + 2x³ -x²-x

While solving the above expression in the third step

x(2x²(x+1)) - 1(x-1)

should be

x(2x²(x+1)) - 1(x + 1)

Hence, Julia incorrectly factored the -1 from the second group of terms.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

Last week, you finished Level 2 of a video game in 32 minutes. Today, you finish Level 2 in 28 minutes?

Answers

Is this a question or it’s not?

If a person walks
mile in 10 minutes, how far will that person walk in one hour?

Answers

Answer:

They will end up walk 6 miles


If a person walks 1/4 mile in 10 minutes, how far will that person walk in one hour?

Answers

Answer:

one and a half or 1/2 hours

The correct answer is 1/2

what is. 1+9.........

Answers

Answer:

uh 10?

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Charlie is reading about animal hearts in a kids science magazine. He learns that a nestling (young) Striped Horned Owls heart weighs approximately 1.072 grams and blue whale's heart weighs 400 lbs. He is eager to share what he learned with his friends over lunch the next day and tells them that a blue whale's heart and a striped horned owl's heart are two orders of magnitude apart. Do you agree with Charlie's statement? Explain.

Answers

Answer:

Charlie's statement is incorrect

Step-by-step explanation:

Given that the owls heart weighs 1.072 grams

and the Whale's heart weighs 400lbs

let us convert from pounds to grams to have a uniform unit

400lbs = 181,437grams

Now when two readings or quantities are two orders apart it means that they differ by a factor of 100

let us solve for the difference between the two hearts

181,437grams- 1.072 grams= 181 435.928 grams

the difference is more than two orders, hence the statement is not correct

I need help with this question!!

Answers

Answer:

3 and 5

Step-by-step explanation:

yes

brainliest if right!!!

Answers

Answer:

The answer is Letter A.

Step-by-step explanation:

Find the value of x.

[tex]2x + 50 = x + 76 \\ 2x - x = 76 - 50 \\ x = 26[/tex]

Substitute x to the equation for angle 2.

[tex]2x + 50 \\ = 2(26) + 50 \\ = 52 + 50 \\ = 102[/tex]

#CarryOnLearning

Answer:

A) 102

Step-by-step explanation:

Alternative Exterior Theorem: If two parallel lines are cut by a transversal, then the pairs of alternative exterior angles are congruent.

Because of this theorem, we know that <2 and <8 are congruent, so we can set these equations to be equal to each other, like so:

2x + 50 = x + 76

Then, we need to find the x value, so solve from there.

2x + 50 = x + 76

x + 50 = 76   [Subtract x from both sides of the equal sign]

x = 26   [Subtract 50 from both sides of the equal sign]

So now that we have our x value, all we have to do is plug in that value to the <2 equation.

2x + 50

2(26) + 50

52 + 50

102

Hope this helps! I apologize if I get it incorrect,

Which is the equation of a line that has a slope of 4 and passes through point (1, 6)?
y = 4x – 2
y = 4x + 6
y = 4x + 2
y = 4x – 3

Answers

Answer:

y = 4x + 2

Step-by-step explanation:

Answer:

c on edge

Step-by-step explanation:

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