Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S = 5.1 + 1.5 x estimates the amount of sales ( S ) of statin in billions of dollars x years after 1998.

Answers

Answer 1
It would increase the days your grow

Related Questions

Which is the solution to the system



4x + y = 0

x - y = 5





Explain/Show Work

Answers

Answer:

x = 1

y = -4

Step-by-step explanation:

if you solve for y

y = -4x

plug this into the other equation

x - -4x = 5

simplify

5x = 5

x = 1

plug x into the fist equation

4(1)+y = 0

y = -4

how to find the domain and range of a piecewise function without a graph

Answers

Answer:

Step-by-step explanation:

The x component of a function is domain and the y component is range of a function . For example -                                                                                                   R1={(3,4),(5,6),(7,9)}                                                                                                                  The domain of R1 ={3,5,7}                                                                                                                                                                                                                                     The range of R1={4,6,9}

Simplify 2^3 x 2^18 ​

Answers

Answer:

2^21

Step-by-step explanation:

3+18=21

Answer:

2/27

Step-by-step explanation:

Here is me work:

Can i get some help :

Answers

Answer:

b = [tex]\frac{7}{12}[/tex]

Step-by-step explanation:

b + [tex]\frac{2}{3}[/tex] = 1 [tex]\frac{1}{4}[/tex] ← change to an improper fraction

b + [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{4}[/tex]

Multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions

12b + 8 = 15 ( subtract 8 from both sides )

12b = 7 ( divide both sides by 12 )

b = [tex]\frac{7}{12}[/tex]

Answer:

The value of b is 7/12.

Step-by-step explanation:

Question :

Solve for b.

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Enter your answer as a fraction in simplest form in the box.

[tex]\implies{\sf{b = \square}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Solution :

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Converting the mixed fractions into improper fraction.

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(4)+ 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{4+ 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]

Now, transporting LHS to RHS.

[tex]{\implies{\sf{b= \dfrac{5}{4} - \dfrac{2}{3}}}}[/tex]

Taking LCM of denominators and subtracting.

[tex]{\implies{\sf{b= \dfrac{(5 \times 3) - (2 \times 4)}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{(15) - (8)}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{15 - 8}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{7}{12}}}}[/tex]

[tex]{\star{\red{\underline{\boxed{\sf{b= \dfrac{7}{12}}}}}}}[/tex]

Hence, the value of b is 7/12.

[tex]\begin{gathered}\end{gathered}[/tex]

Verification :

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Substituting the value of (b=7/12)

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Converting mixed fractions into improper fraction

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{4 + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]

Taking LCM of denominators in LHS and adding.

[tex]{\implies{\sf{ \dfrac{(7 \times 1) + (2 \times 4)}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{(7) + (8)}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7 + 8}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{15}{12} = \dfrac{5}{4}}}}[/tex]

Cutting the fraction to simplest form.

[tex]{\implies{\sf{ \cancel{\dfrac{15}{12}} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{5}{4}= \dfrac{5}{4}}}}[/tex]

[tex]{\star{\red{\underline{\boxed{\sf{LHS = RHS}}}}}}[/tex]

Hence Verified!

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

Find the value of c that makes the trinomial a perfect square: x^2– 40x + c

Answers

Answer:

c=400

Step-by-step explanation:

Use the perfect square formula:

ax^2+bx+c=0

x^2-40x+c=0

bring c to the other side

x^2-40x+___=-c

divide -40 by 2 then square it; 400

add 400 to each side

c=400

(x-20)(x-20)

The value of c that makes the trinomial a perfect square x²– 40x + c is 400.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

We have to find the  value of c that makes the trinomial a perfect square: x²– 40x + c

Lets use the perfect square formula:

ax²+bx+c=0

The given equation is given below.

x²-40x+c=0

Take the c term to the right hand side

x²-40x=-c

x²-40x+400=-c+400

c=400

Hence, the value of c that makes the trinomial a perfect square x²– 40x + c is 400.

To learn more on Quadratic equation click:

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explain or show that the point (5,-4) is a solution to this system of equations

Answers

Answer:

You could substitute the point (5,-4) into each equation

Step-by-step explanation:

x=5    y=-4

3x-2y=23

3(5)-2(-4)=23

15+8=23

23=23

2x+y=6

2(5)+(-4)=6

10-4=6

6=6

The points go into each equation which proves that the point (5,-4) is the solution.

(i don't know if I did this right, I apologize if I didn't

What is the simplified form of
3+2−14−24
−4
when x ≠ 4?

Answers

the answer for this is
-33

Someone please help i forgot how to do math aaaaaaaaaa​

Answers

Answer: Refer to Step-by-step explanation

Step-by-step explanation:

To find the MAD

Step 1 Find the mean of the data.

Step 2 Find the distance between each data value and the mean.

Step 3 Add the distances together from Step 2

Step 4 Divide the sum in Step 3 by the total number of values in the data.

1) MAD = 21.36

2) Mean = 56

MAD = 3.75

3) Mean = 57

MAD = 16.67

question that EQUALS
67.5

Answers

The answer is 3.375 and i really need this bro or sis

Second part to my question ToT Plz help Double points :D

Answers

Answer: 3

Step-by-step explanation:

V=whl

Which is greater?

48 fl oz
10 3/4 c

Answers

10 3/4 cups is bigger!!!!!!!!!!!!!

7.
Which of the following is a prime number between 80 and 90?
OA. 85
B.
86
O C. 81
OD
83
HELP!!

Answers

Answer:

D) 83 is the answer. this is because it doest divide more then 2wice like the rule

Answer:

D TRUST ME

Step-by-step explanation:

please heeeeeeeeeeeeeeeeeeeeelp

Answers

Step-by-step explanation:

3 is ur answer

mmmmmmmmmmm

25% of the seniors class has blue eyes of the blue student 60% are females. What is the probability that seniors selected randomly is a blue eyed female.

A) 15%
B) 85%
C)60%
D)35

Answers

Answer: A) 15%

Explanation:

Let's say this school has 1000 seniors.

25% of this count is 0.25*1000 = 250 to indicate there are 250 seniors with blue eyes. Of this smaller count, 60% of them are girls with blue eyes. So there are 0.60*250 = 150 female seniors with blue eyes.

Divide that last number over the original value: 150/1000 = 0.15 = 15%

The probability that the senior selected randomly is a blue-eyed female is 15%.

It is given that 25% of the seniors class has blue eyes of the blue student 60% are females.

What is the probability?

Probability refers to the occurrence of random events. Basically, it is the possibility to predict how likely events are to happen.

Probability of event = Number of favorable outcomes / Total number of outcomes.

Let's consider this school has 1000 seniors.

25% of this count

0.25 × 1000 = 250

Which shows that there are 250 seniors with blue eyes.

Similarly, 60% of them are girls with blue eyes.

So, there are 0.60 × 250 = 150

there are 150 female seniors with blue eyes.

Here, the probability that seniors selected randomly is a blue-eyed female

150/1000 = 0.15

                = 15%

Therefore, the probability that the senior selected randomly is a blue-eyed female is 15%.

Learn more about the probability here;

https://brainly.com/question/795909

23% of a snack mix is almonds. How much snack mix would you need to get 230g of almonds?

Answers

Answer:

230/p = 23/100 You would need 1,000 g of snack mix.

Step-by-step explanation:

There are 1000 snack mix would be needed to get 230g of almonds.

Given that;

23% of a snack mix is almonds.

And, there are 230g of almonds.

Let us assume that;

The number of snacks = x

Hence, it can be written as,

23% of x = 230

23/100 × x = 230

23x = 23000

x = 23000/23

x = 1000

Therefore, The number of snacks = 1000 g

Learn more about the percentage visit:

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If we express $3x^2 - 6x - 2$ in the form $a(x - h)^2 + k$, then what is $a + h + k$?

Answers

If we express  [tex]3x^2-6x-2[/tex] in the form  [tex]a(x-h)^2+k[/tex], then a + h + k = -1

The given quadratic expression is:

[tex]3x^2-6x-2[/tex]

To express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], follow the steps below

Rewrite [tex]3x^2-6x-2[/tex] as  [tex]3x^2-6x+3-5[/tex]

Factorize common terms

[tex]3(x^2-2x+1)-5[/tex]

This can be further simplified as:

[tex]3(x-1)^2-5[/tex]

Therefore, the vertex form of the equation  [tex]3x^2-6x-2[/tex] is [tex]3(x-1)^2-5[/tex]

Compare [tex]3(x-1)^2-5[/tex] with  [tex]a(x-h)^2+k[/tex]

a = 3, h = 1, k = -5

a  +  h  +  k  =  3  +  1 - 5

a  +  h  +  k  =  -1

Therefore if we express  [tex]3x^2-6x-2[/tex] in the form  [tex]a(x-h)^2+k[/tex], then a + h + k = -1

Learn more on vertex form of a quadratic equation here: https://brainly.com/question/17987697

what is 5^12 divided by 5^3 simplified

Answers

Answer: 1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

through:(-3,-1), slope=4/3

Answers

Y+1 =4/3(x+3) this is in point-slope form.

QUICK PLEASE! THIS IS DUE AT 6 P.M! 2x^2 ÷ 27

Answers

Answer:

Step-by-step explanation:

HOPE THIS HELPS :)

A business owner is comparing the cost of buying natural gas from two different companies.
• Company A charges a $6 fee plus $1.25 per therm (unit of heat).
• Company B charges a $9 fee plus $0.75 per therm (unit of heat).
For what number of therms will the cost be the same at both companies?
13.5 therms
9 therms
6 therms
12.75 therms

Answers

Answer: C. 6 therms

Step-by-step explanation:

6 + 1.25(6) = $13.50

9 + 0.75(6) = $13.50

Correct me if I am incorrect.

a diver is 19 meters below the surface of the water.use an interger to represent how far the diver will need to travel to reacg the surface'

Answers

Answer:

19 meters

Step-by-step explanation:

if he goes straight up at 90 degreed to the surface of water, it would be 19 metres

Perform each matrix row operation and write the new matrix

Answers

Answer:

[4  -11   1   7   l  -17]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4   1   5   3   l   7]

Step-by-step explanation:

This is Finite Math, I got this hehe :)

To find the answer, first you need to understand what R means.

It stands for "row". So R1 means "Row 1".

So: -3R1 + R3 means that you need to multiply -3 by all of the numbers in row 1 and then add all of the numbers in row 3

[0   3   1   -1   l  6]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4  1    5   3   l   7]

Then use ^^THAT^^ and apply the next set of instructions.

-4R1 + R4 means that you multiply -4 by all of the numbers in row 1 and then add all of the numbers in row 4:

[4  -11    1   7   l  -17]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4   1   5   3   l   7]

what is what is sixth eighths times five(PLEASE HELP i'M STILL FAILING MATH!!!!!!!!!!!!!!!!!!!!)

Answers

Answer:

[tex]3\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{6}{8} *\frac{5}{1}[/tex]

[tex]\frac{30}{8}[/tex] multiply across

[tex]\frac{15}{4}[/tex] simplify and convert into mixed number

[tex]3\frac{3}{4}[/tex]

Which point would be a solution to the system of linear inequalities shown below?

Y>2/3x-4

Y<−4x−6

Answers

2/3x-4 im not all the way sure

How to graph a linear function from slope-intercept form

Answers

Answer:

Use the coefficient of x as the slope and constant as the y-intercept

Step-by-step explanation:

Start by going to your graph and plotting your y-intercept. For example, if the y- intercept is -2, plot the point (0, -2). Then from there, you need to plot the slope (let's pretend that the slope is 2/3). From the intercept, you will go up two and right one. Then starting from that point, continue using the rise over run to plot your points and then draw your line.

What is an equation of the line that passes through the points (2, 1) and (3, -4)?

Answers

Answer:

huh Step-by-step explanation:

its really hard

Answer:

y = -x - 1

Step-by-step explanation:

(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)

(y - 4)/(x - (-3)) = (4 - (-1))/(-3 -2)

(y - 4)/(x + 3) = 5/-5

(y - 4)/(x + 3) = -1

y - 4 = -1(x + 3

y - 4 = -x - 3

y = -x - 1

Find the inverse of

Answers

Answer:

1/-0.5x

Step-by-step explanation:

1/2 = 0.5

-0.5x = -1/2x

Inverse function is the same as 1/fuction, so inverse of -0.5x = 1/-0.5x

Hope that helps

How i can answer this question

Answers

Answer:

B

D

C

Glad I coild help you out.

Answer:

B,C and D

Step-by-step explanation:

They all expand back to 16x + 20.

PLEASE HELP!!!



46√2 simplified radical form

Answers

The answer is No answer decimal

I need the answer for this question if possible give me your thought process

Answers

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,0)~~ \text{and}~~ (x_2, y_2) = (-12,5)\\\\\text{Distance between two points,}\\\\d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\implies d = \sqrt{(-12-0)^2 + (5-0)^2}\\\\\implies d = \sqrt{(-12)^2 +5^2}\\\\\implies d =\sqrt{144+25}\\\\\implies d=\sqrt{169}\\\\\implies d = 13\\\\\text{So, the answer is C.}[/tex]

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