On her first day in a hospital, Kiri receives u1 milligrams (mg) of a therapeutic drug. The amount of the drug Kiri receives increases by the same amount, d, each day. On the seventh day, she receives 21 mg of the drug, and on the eleventh day she receives 29 mg.

a. write down an equation, in the terms u1 and d, for the amount of the drug that she receives on the seventh day.

b. write down an equation, in terms of u1 and d, for the drug that she receives on the eleventh day.

c. write down the value of d and the value of u1.

Answers

Answer 1

Answer:

a. 21 = u1 + 6·d

b. 29 = u1 + 10·d

c. d = 2, u1 = 9

Step-by-step explanation:

a. The given parameters are;

The amount of therapeutic drug Kiri receives on her first at the hospital = u1 milligrams

The amount of drug increase received by Kiri each day = d

The amount of drug Kiri received on the seventh day = 21 mg

The amount of drug she received on the eleventh day = 29 mg

Therefore, we have an arithmetic progression with the formula for the nth term given as follows;

aₙ = a₁ + (n - 1)·d

Where;

a₁ = u1

n = The number of terms

Therefore, for the 7th day, the amount of drugs she receives, which is 21 milligrams, is given as follows;

a₇ = u1 + (7 - 1)·d = u1 + 6·d = 21

The equation for the amount of drugs she receives in terms of u1 and d on the seventh day is given as follows;

21 = u1 + 6·d

b. For the eleventh day, the amount of drugs she receives, which is 29 milligrams, is given as follows;

a₁₁ = u1 + (11 - 1)·d = u1 + 10·d = 29

Therefore, the equation for the amount of drugs she receives in terms of u1 and d on the  eleventh day is given as follows;

29 = u1 + 10·d

c. Therefore, we have two equations which are given as follows;

21 = u1 + 6·d................(1)

29 = u1 + 10·d..............(2)

Subtracting equation (1) from equation (2) gives;

29 - 21 = (u1 + 10·d) - (u1 + 6·d)

8 = 4·d

d = 8/4 = 2

d = 2

From equation (1), we have;

21 = u1 + 6·d = u1 + 6×2 = u1 + 12

21 = u1 + 12

21 - 12 = u1

∴ u1 = 9

d = 2, u1 = 9.


Related Questions

First peron to answer i will mark brainlest
The North Point High School cheerleading squad
needs $1250 in order to travel to the national
competition. They decide to hold a 3–day car
wash to raise the money.
Part A:
On Friday, the team raised $395.83. On Saturday,
the team raised $511.59. After these 2 days, how
much money had the team raised so far?
$__________
Part B:
After the car wash ended on Sunday, the team
discovered that they had raised a total of
$1294.77. Using the information you found in
Part A, how much did they earn on Sunday?

Answers

Answer:

$907.42$387.35

Step-by-step explanation:

Part AFriday - $395.83Saturday - $511.59

Total of 2 days

395.83 + 511.59 = $907.42Part B

Total of 3 days - $1294.77

Sunday

1294.77 - 907.42 = $387.35

find measure 6
I’ve tried twice and can’t get it
Geometry

Answers

Measure 6 is equal to 11


Because i dont feel like explaining trust me

Answer:

i think this is the answer

angle 6 = 11

Step-by-step explanation:

write 45/6 as a mixed number in simplest form

Answers

Answer:

7 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

45/6 = 7 Reminder 3

3/6 = 1/2

Therefore, the answer as a mixed number in simplest form is 7 [tex]\frac{1}{2}[/tex]

Answer:

45/6

= 15/2

This is the answer

A recipe states that 5 servings of peanuts have 1,250calories. How many calories is 2 servings of peanuts? *
7 points
Captionless Image
250 calories
375 calories
500 calories
750 calories

Answers

Answer:

500 calories

Step-by-step explanation:

divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories

Answer:

500

Step-by-step explanation:

you take 1,200 and decide by 5 then take 250 and multiply by 2 to get 500

convert 7.2 • 10^-3 to standard form.

A) 72,000
B) 7,200
C) 0.0072
D) 0.00072

Answers

Answer:

i think the answer is C

Step-by-step explanation: Because if it has a subtract sign you move decimals to the left.

The Charles River in Massachusetts is 130 km long.
How long will it be on a map drawn at the scale 1:2,000,000?

Answers

Answer: 6.5 cm

Step-by-step explanation: 1 km = 100,000 cm, so 130 km= 130,000,00 cm, 130,000,00÷2,000,000=6.5 cm

The Charles river will be "6.5 cm" long. A complete solution is provided below.

On the map,

→ 1 : 2,000,000

As we know,

The conversion of kilometer in to centimeter is:

→ [tex]1 \ km = 100,000 \ cm[/tex]

then,

→ [tex]130 \ km= 130,000,00 \ cm[/tex]

hence,

The river will be:

= [tex]\frac{130,000,00}{2,000,000}[/tex]

= [tex]6.5 \ cm[/tex]

Thus the above answer is the appropriate.

Learn more:

https://brainly.com/question/19023195

4,362,784 rounded to the greatest place value is?

Answers

Answer: 4,000,000

Step-by-step explanation:

4 is the greatest in place values. 3 is lower than 5 so 4 stays the same.

Answer:

The answer is 4,000,000.

Step-by-step explanation:

The greatest place value is the digit closest to the left. 4,362,784 rounded to the closest million is 4,000,000.

Please help me out for question 17

Answers

Welcome to the other MHN solving classes.

Let's see what to do ......

_________________________________

Step (1)

EC bisects BED ;

Thus : BEC = CED

_________________________________

Step (2)

Question told us that CED = 4 x + 1

Thus : BEC = CED = 4 x + 1

_________________________________

Step (3)

AD is a straight line which means its angle size is equal to 180° degrees.

So :

AEB + BEC + CED = 180

( 11x - 12 ) + ( 4x + 1 ) + ( 4x + 1 ) = 180

11x + 4x + 4x - 12 + 1 + 1 = 180

19x - 10 = 180

Plus sides 10

19x - 10 + 10 = 180 + 10

19x = 190

Divided sides by 19

[tex] \frac{19}{19}x = \frac{190}{19} \\ [/tex]

[tex]x = 10[/tex]

So : x = 10°

_________________________________

Step (4)

AEB = 11x - 12

AEB = 11(10) - 12

AEB = 110 - 12

AEB = 98°

******************************************************

BEC = CED = 4x + 1

BEC = CED = 4(10) + 1

BEC = CED = 41°

_________________________________

Step (5)

AEC = AEB + BEC

AEC = 98° + 41°

AEC = 139°

_________________________________

And we're done.....♥️♥️♥️♥️♥️

What is 3.09+ 4.88=?

Answers

Answer:

7.97

Step-by-step explanation:

hope this helps

The answer would be 7.97

In an electrical circuit, the current is related to the power and resistance according to the rule I=pR−−√, where I represents the current (measured in amps), P represents power (measured in watts), and R represents resistance (measured in ohms). What is the electrical power drawn by a device that has a resistance of 15 ohms with a current of 4 amps?

Answers

Answer:

[tex]P=0.27\,\,watts[/tex]

Step-by-step explanation:

Consider the formula: [tex]I=PR[/tex]

Here, [tex]I[/tex] represents the current (measured in amps), P represents power (measured in watts), and R represents resistance (measured in ohms).

Resistance = 15 ohms

Current = 4 amps

To find electrical power drawn by a device, put [tex]R=15\,,\,I=4[/tex]

So,

[tex]4=15P\\P=\frac{4}{15}=0.27\,\,watts[/tex]

how do i graph using slope intercept form

Answers

Answer:

Rise/Run

Step-by-step explanation:

how many you go up over how many to go over

PLEASE HELP IM BEING TIMED!!

Then DS+ST=DT what is the property?

Options: A. Commen Sense
B. Substitution
C. Segment Addition
D. The Given

Answers

The answer should be C. Segment addition

Answer:

hope you have a good day it is cccccccc

Triangle ABC is given by the points A(−1, 5), B(0, 3), and C(2, 4). It is reflected over the line y = −2x − 2. Does the image contain each of the points? Select Yes or No for A-C.
1. A' (-5,3) Yes or No
2. B' (-4,6) Yes or No
3. C' (-6,0) Yes or No

Please help!

Answers

Answer:

1.A'(-53) yes

2. yes

3 no

Round 985,622 to the nearest hundred.

Answers

Answer:

985,600

Step-by-step explanation:

because it is 22 you round down

Answer:

985,600

Step-by-step explanation:

hope that helps

3. Simplify i41. (2 points)
0
-1
O
-1.
O
1

Answers

-1 I think but we need a picture!!

Elise ​says, "If you subtract 13 from my number and multiply the difference by ​-6, the result is -60 ​." What is ​'s ​number?
please help will give brainiest!

Answers

Answer:

n = 23

Step-by-step explanation:

n - 13 x -6 = -60

distribute:

(n x -6) - (13 x -6) = -60

-6n - (-78) = -60

two negatives in front of a number makes it a positive number

so rewrite -6n + 78 = -60

-6n = -60 - 78

-6n = -138

n = [tex]\frac{-138}{-6}[/tex]

n = 23

Answer:

34

Step-by-step explanation:

Its true trust me.

will give brainliest thing to the person with the correct answer

Answers

Answer:

There are 25 people in the club.

Step-by-step explanation:

5 X 3 = 15. 5 X 5 = 25

yeah its 25 ^


ik so useful

There are 192 players on 12 teams. How many players are on each team?
There are
players on each team.

Answers

Answer:

16

Step-by-step explanation:

HELP NOW
What is the value of five less than the product of three and a number, increased by nine when n=6

Answers

Answer:

22

Step-by-step explanation:

Plug in the value of n: 3(6) - 5 + 93(6) = 3 × 6 = 18Plug 18 in: 18 - 5 + 918 - 5 = 13Plug 13 in: 13 + 913 + 9 = 22

I hope this helps!

In which quadrant or on which axis would you find the point
( 2, 7 )

Answers

Answer:

The answer is Quadrant 1

quadrant 1

hope this helped

Andy and Christopher are measuring a liquid solution using graduated cylinders. Andy uses 3.5liters of the liquid solution, and Christopher uses 2,580milliliters of the liquid solution. What is the ratio of Christopher's measurements to Andy's measurements in milliliters?

Answers

Answer:

129:175

Step-by-step explanation:

Andy and Christopher are measuring a liquid solution using a graduated cylinder

Andy uses 3.5 liters of the liquid solution

3.5 liters to mililiters

= 3.5 ×1000

= 3500 mililiters

Christopher uses 2580 mililiters

Therefore the ratio of Christopher's measurement to Andy's measurement can be calculated as follows

= 2580/3500

= 129 : 175

Hence the ratio of Christopher's measurement to Andy's measurement is 129:175

Which ordered pair locates point P on the coordinate plane?

Answers

Answer:

(-3,-2)

Step-by-step explanation:

Answer:

The answer is A.

Mr. Freeman has a square cornfield. Which of the following could be the area of the cornfield if the sides are measured in whole numbers? Select all that apply.
A.164,000 ft2
B.156,816 ft2
C.174,724 ft2
D.215,908 ft2

Answers

Step-by-step explanation:

i think both B and C are correct. for whole numbers 0,1 ,2... there must not be decimal.

area of square is l^2. so here square root of B and C are whole numbers.

y(x + x - y) ; when x = 5 and y = 3

Answers

Answer:

39

Step-by-step explanation:

3(5+5-3)

15+15+9

30+9

39

Answer:

your answer would be 21 hope i helped:)

Step-by-step explanation:

During the past football season, the quarterback completed 60 passes in 102 attempts. What was his pass completion average? (Round to the nearest whole number percentage.)

1.7%
5.9%
59%

Answers

The answer is 1.7 so yeah

11/5 - 7/4 + 2/1 evaluate​

Answers

Step-by-step explanation:

11/5−7/4+2/1

=49/20(Decimal: 2.45)

2.04 • 10 ^23 Which of the following shows and explain the approximate total mass , in grams , of all the atoms of the gas in the container

Answers

Answer:

20,400,000,000,000,000,000,000,000

Step-by-step explanation:

10 to the power of 23 is 1 with 23 zeros.

100,000,000,000,000,000,000,000 ⋅ 2.04 20,400,000,000,000,000,000,000,000

Hope I helped :)

Please consider Brainliest :)

(It took so long to type that)

Please answer asap failure notices come out today

Answers

Answer:

It would be A.

Step-by-step explanation:

You can simply add the numbers to coordinates to see if matches.

For example, if you add the x + 2 to -3 and 2, its -1 and 4. Then if you add y+3 to -1 and 1, it's 2 and 4. I hope that makes sense :)

30 POINTS + BRAINLIEST FIRST CORRECT ANSWER

When 5 and 6 are multiplied by the same factor, how do the ratios compare to the ratio 5:6?
The ratios are equivalent to 5:6.
The ratios are equivalent to 6:5.
The ratios are greater than 5:6, as the factors become greater.
The ratios are greater than 6:5, as the factors become greater.

Answers

Answer:

Aren't they equivalent to 5:6?

Step-by-step explanation:

Your situation models to 5x:6x, and no matter what you put as x, it will amount to the ratio of 5:6. It's basically a big fraction, with 5/6 as the simplfication.

Answer:

Step-by-step explanation:

The easiest way to start this is just to multiply the 5 and the 6 by the same thing and see what happens.

Randomly, I will choose 7 because I think today is the 7th.

5*7

====

6*7

35

===

42

I know this is going to seem ridiculous but I'm not going to divide 35/42 by 7.

35 divide by 7 = 5

42 divide by 7 = 6

Just what you started with.

Now a little less obvious, suppose we multiply top and bottom of the ratio by a. a can be anything like (say) the 5th root of 3233

5* a

====

6 * a

Divide the top and bottom by a.

5a divided by a = 5

=======

6a divided by a = 6

So what's the answer? If you've read through this, you'll know that nothing changes.

The answer is the first one.

Helps me solve 2 and 4 please

Answers

Answer:

16.3.

Step-by-step explanation:

i just took the test.

Answer:

g(-4)= -8 and f(9)= 44

Step-by-step explanation:

g(x)=2x^2+10x

g(-4)=2(-4)^2+10(-4)

g(-4)=2(16)-40

g(-4)= -8

f(x)=l1-5xl

f(9)= l1-5(9)l

f(9)= l1-45l

f(9)= l-44l

f(9)= 44

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