The weight of a blue whale

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.

Answer:

you put 12x in the first box and 6 in the second box\

I am unsure if you need the + sign

Step-by-step explanation:

Answer:

12x + 6

Step-by-step explanation:

You got it right

2 multiplied by 6x = 12x

3 multiplied by 2 = 6

So the answer is 12x + 6

Was this your question?

Answer:

1 = 45

3 = 45

Step-by-step explanation:

[tex]\angle {1}[/tex] and [tex]\angle {3}[/tex] is 45 degrees since the unmarked angle is 90 degrees, meaning that BOTH [tex]\angle {1} and \angle {3}[/tex] are equal.

Answer:

y=5x+11

Step-by-step explanation:

You can solve this with the point-slope formula: y-y1=m(x-x1). The line is parallel; both slopes are equivalent.

First we have to rewrite the original equation, which is rewritten into y=5x+2 by subtracting -5x on both sides.

Next, plug in the coordinates we have into the point-slope formula (-2, 1), along with the slope from the original equation (5). To check, we can plug the coordinates back into the equation.

y-(1)=5(x+2)

y-1=5x+10

y=5x+11

Check:

(1)=5(-2)+11

1=-10+11

1=1

Answer:

(0,3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8, 10) and (-7, 14)

The slope is

[tex]m = \frac{14 - 10}{ - 7 - 8} = \frac{4}{ - 15} = - \frac{4}{15} \\ [/tex]

We have the final answer as

[tex] - \frac{4}{15} \\ [/tex]

Hope this helps you

Answer:

x=2.666 repeated

Step-by-step explanation: this is correct, pls mark brainliest.  take -4 and add it to the other side(+4). 6x=3x+8.  subtract 3x from 6x. 3x=8. take 3x and devide it on bolth sides. x=2.666 repeated

Answer:

x = 3/8

Step-by-step explanation:

6x -4 = 3x + 4

Step 1 - Add 4 on both sides

6x -4 = 3x + 4

+ 4 + 4

6x = 3x + 8

Step 2 - Subtract 3x on both sides

6x = 3x + 8

-3x -3x

3x = 8

Step 3 - Divide 3 on both sides

3x = 8

÷3 ÷3

Answer - x = 3/8

Sorry this took so long

Answer:

-3. 1/8  

Step-by-step explanation: it’s negative three and 1/8

Answer:

y = x-3

y = x +3

Dependent

Answer:

A

Step-by-step explanation:

A -8/5 = -1.6 which is less than 0.625 because 0.625 is closer to zero

Answer:

domain ( 0-5) minutes

Range ( 0-300) miles

Step-by-step explanation:

Here, we are interested in writing the domain and range for the journey to the prospective colleges.

The range simply deaths with the distances in miles while the domain is the time in seconds.

The range is simply the smallest value on the y-axis to the largest value on the y-axis

The domain refers to the smallest value on the x-axis to the largest value of the x-axis

Kindly note that the domain and range does not refer to the labelings of the highest and lowest value on the axes but the highest and lowest value involved in plotting of the line in the graph.

From the graph, we can see that we have a range of; (0-300) miles while the domain is from (0-5) minutes

Answer:

the answer is 311

Step-by-step explanation:

the answer is 311

Answer:

-12

Step-by-step explanation:

For a better understanding of the answer provided here, please have a look at the attached diagram.

The diagram has been made as per the information provided in the question.

From the statements in the question we can see that:

[1] is the angle  

[2] is Supplementary

[3] is the segment bc

Thus, the above are the words or names that correctly fill in the blanks to complete the proof.

Answer:

See below.

Step-by-step explanation:

  Statements:                        Reasons:

1) ABCD is a parallelogram     : Given

2) ∠1≅∠2                                   : Alternate Interior Angles Are Congruent

3) ∠2+∠3=180                           : Angle Addition Postulate

4) ∠1+∠3=180                            : Substitution

5) ∠1 is supplementary to ∠3   : Definition of Supplementary Angles

And we're done!

Answer:

turn 180

Step-by-step explanation:

Answer:

B) The temperature decreases by about 1.7° for each 1 degree increase north in latitude.

Step-by-step explanation:

Answer: B. Decreases by about 1.7 degrees every 1-degree latitude.

Step-by-step explanation:

2(9n-1)+7(n+6)=-60

18n - 9 + 7n + 42 = -60

25n + 33 = -60

25n = -93

n = -3.72

11(4-6y)+5(13y+1)=9

44 - 66y + 65y + 5 = 9

-y + 49 = 9

-y = -40

y = 40

Answer:

Hello! I hope I’m correct!! :)

1. n = -4

2. y = 40

Step-by-step explanation:

Steps for the first equation.

Step #1. {we are solving for “2(9n-1)+7(n+6)=-60”}

[tex]18n-2+7n+42=-60[/tex]

Step #2. Simplify.

[tex]25n+40=-60[/tex]

Step #3. Subtract 40 {from both sides}

[tex]25n=-60-40[/tex]

Step #4. Simplify.

[tex]25n=-100[/tex]

Step #5. Divide both of the sides by 25. Which will be:

[tex]-\frac{100}{25}[/tex]

Step #6. Now divide (simplify) 100 & 25 which will give you the answer.

[tex]n=-4[/tex]

______________________________________

Now let’s solve the second equation.

Step #1. Expand

[tex]-y+49=9[/tex]

Step #2. Subtract 49 from both sides.

[tex]-y+49-49=9-49[/tex]

Step #3. Simplify.

[tex]-y=-40[/tex]

Step #4. Divide both sides by -1.

[tex]-40/-1[/tex]

Step #5. Simplify.

[tex]y=40[/tex]

Sorry if this is incorrect but I hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! (≧∇≦)

~By, BrainlyAnime~ <3

Answer:

1280/40=32

Step-by-step explanation:

Answer:

speed = 32 miles per hour

= 32 mi/h

Answer: 2 Lines of Symmetry

Step-by-step explanation: Split it into 2 halves = 2 Lines of Stmmetry

Answer:

The figure has two line(s) of symmetry.

Answer:

Divide

Step-by-step explanation:

When you see something say "how many times larger than __ is __" You will Divide

(e.g. how many times larger is 6 than 3? divide 6 by 3 and you'll find out that 6 is 2 times as large as 3)

Hope this helps!

Times= multiplication

How many times larger means how many times that numner can get multiplied by the smaller number.

Hope it helped! :)

Answer: B

Step-by-step explanation:

Answer:

it was a incomplete question

Answer:

9(r - 5)(r - 1)

Step-by-step explanation:

9r^2 - 36r - 45

First, factor out 9

9(r^2 - 4r - 5)

Then you can factor what's inside the parentheses

9(r - 5)(r -1 )

low,low

low, high

high,high

Answer:

x=2

y=.75

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1.5/0.75 = 2

5/1.5 = 2

Hence the common ratio (constant of proportionality) is 2

Answer:

This ladder will be long enough because the top of the roof is 15ft 9in and that's < 25

Step-by-step explanation:

Answer:

This ladder will be long enough because the top of the roof is 15ft 9in and that's < 25

explanation:

470 = 29x+35

(x is number of birthday cakes)

subtract 35 from both sides,

435 = 29x

divide both sides by 29 to get x by itself,

15 = x

15 birthday cakes were made!

Answer:

35+29x=470 x=15 cakes

Step-by-step explanation:

3 35 represents rate for the oven and then 29 dollars per cake is the 29. 470 is the total amount of money you spent you just have to solve the equation from then to get x equals 15

Answer:

The answer is 15.

Step-by-step explanation:

d =  sqr. root of (x_2 - x_1)^2 + (y_2-y_1)^2}

= sqr. root of  7- - 2 ^ 2 + 3 - - 9 ^ 2

= sqr. root of 9 ^ 2 + 12 ^ 2

= sqr. root of 81 + 144

= sqr. root of 225

= 15

Answer:

Step-by-step explanation:

It can be observed that LMNP is reflected over y-axis and translated vertically down by 5 - (-2) = 7 units to map to ABCD

This can be shown as:

✩ Answer:

 ✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*

  [tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]

✩ Step-by-step explanation:

 ✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*

✺ Quadratic polynomials can be factored using the transformation [tex]ax^2+bx+c=a(x-x_{1})(x-x_{2} )[/tex], where [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the solutions of the quadratic equation [tex]ax^2+bx+c=0[/tex]:

✺ All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula:

✺ The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction:

✺ Take the square root of [tex]6^2[/tex]:

✺ Multiply [tex]2[/tex] times [tex]-1[/tex]:

✺ Now solve the equation [tex]x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}[/tex] when ± is plus. Add [tex]-6[/tex] to [tex]6[/tex]:

✺ Divide [tex]0[/tex] by [tex]-2[/tex]:

       -OR-

✺ Now solve the equation [tex]x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}[/tex] when ± is minus. Subtract [tex]6[/tex] from [tex]-6[/tex]:

✺ Divide [tex]-12[/tex] by [tex]-2[/tex]:

✺  Optional : Factor the original expression using [tex]ax^2+bx+c=a(x-x_{1})(x-x_{2} )[/tex]. Substitute [tex]0[/tex] for [tex]x_{1}[/tex] and [tex]6[/tex] for [tex]x_{2}[/tex]:

✩ Answer:

✺ Factored Form: [tex]x(x-6)[/tex]

✺ Exact Form: [tex]x=6[/tex]

✺ Graph Point Form: [tex]x=(6,0)[/tex]

[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]

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