Answer:
$4.07
Step-by-step explanation:
50-17.49=32.51
32.51/8=4.0637
round that up
Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S − 1.9 x = 4.9 gives the amount of sales ( S ) of statin in billions of dollars x years after 1998. According to this equation, how much will/did people in the U.S. Spend on statins in the year 2005? Answer: People in the U.S. Will spend billion dollars on statins in 2005.
Answer:
People in the U.S. Will spend 18.2 billion dollars on statins in 2005.
Step-by-step explanation:
Given:
S − 1.9x = 4.9
Where,
S = sales of statin in billions of dollars
x = years after 1998
how much will/did people in the U.S. Spend on statins in the year 2005?
2005 is a year after 1998
Number of years = 2005 - 1998
= 7
x = 7 years
S − 1.9x = 4.9
S - 1.9(7) = 4.9
S - 13.3 = 4.9
Add 13.3 to both sides
S = 4.9 + 13.3
= 18.2
People in the U.S. Will spend 18.2 billion dollars on statins in 2005.
A rectangular table that is placed lengthwise against a wall is 8 feet long
and 4 feet wide. Balloons will be attached 8 inches apart along the three
exposed sides, with one balloon at each of the four corners. How many balloons are needed?
Considering the perimeter of the rectangular table, it is found that 36 ballons are needed.
What is the perimeter of a rectangle?The perimeter of a rectangle of length l and width w is given by:
P = 2(l + w).
In this problem, the dimensions of the table are l = 8 ft and w = 4 ft, hence the perimeter is of:
P = 2(l + w) = 2 x 12 = 24 ft.
Ballons will be attached 8 inches = 2/3 feet along the perimeter, hence the number of ballons needed is given by:
[tex]n = \frac{24}{\frac{2}{3}} = 36[/tex]
More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198
I can’t figure these out D:
Answer:
Step-by-step explanation:
16. 9a=15x12
9a=180
a=20
17. 9-t=t+3
-t-t=3-9
-2t=-6
t=6/2
t=3
18. 2y+12=3y+12-y
2y+y-3y=12-12
0=0
=> 2y= -12
y= -6
19.
17+3z-6-11z=-7z-14
17+3z-6-11z+14=-7z
17-6+14=-7z-3z+11z
25= -10Z+11z
25=Z
Find the difference between the polynomials:
–3x+x^3–2x^2 and 4x^3–2x^2–4x
x-3x^3
Step-by-step explanation:
just pretend they are in parentheses and open them
2)
Jasmine earns $36 for 4 hours of baby-sitting. She charges a constant hourly rate. Compare the tables. Which correctly shows the amount Jasmine earns baby-sitting for different numbers of hours?
A) A
B) B
C) C
D) D
A because 2 is half of 4 and 18 is half of 36.
Step-by-step explanation: because 2 is half of 4 and 18 is half of 36.
Mark Lomonaco And deven Hughes pushes twenty five new tables for $29.95 each. they received a 15% discount off the total gross amount of the tables because they purchased more than five tables. Sales tax in their country is 8.75 %
Answer:
4.58
Step-by-step explanation:
$29.95(15%) = 4.4925+8.75% = 4.4925+0.0875 = 4.58
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The volume of the cylinder is ?
The volume of a cylinder with the same radius and double the height is ?
Answer:
Step-by-step explanation:
The volume of the original cylinder = pi * r^2 * h
Givens
r = 6 in
h = 3 in
pi = 3.14
Solution
V = pi * r^2 * h
V = 3.14 * 6^2* 3
V = 3.14 * 36 * 3
V = 339. 12
Part 2
If you double the height, you will double the volume
V = 3.14 * 36 * 6
V = 678.24
Triangle XY Z is similar to triangle ABC.
Solve for k.
ka
X
4.5
4
z
Y
3
B
12
Answer:
13.5
Step-by-step explanation:
12/4=3
9/3=3
4.5x3=13.5
Answer:
13.5=k
Step-by-step explanation:
When 2 triangles are similar the ratio of their corresponding sides are equal.
[tex]\frac{XY}{YZ}=\frac{AB}{BC}\\\\[/tex]
Plug in the values given:
[tex]\frac{4.5}{3} =\frac{k}{9}[/tex]
Cross Multiply
40.5=3k
Divide to isolate k
13.5=k
Evaluate the function rule below when x= -2
f(x)=-x+2
Answer:
f(- 2) = 4
Step-by-step explanation:
substitute x = - 2 into f(x) , then
f(- 2) = - (- 2) + 2 = 2 + 2 = 4
Answer:
Given function: [tex]f(x)=-x+2[/tex]
To evaluate the function when [tex]x=-2[/tex], substitute the given value for [tex]x[/tex] into the function and solve:
[tex]\implies f(-2)=-(-2)+2[/tex]
[tex]\implies f(-2)=2+2[/tex]
[tex]\implies f(-2)=4[/tex]
I need answered asap please! Explain what dilations and scale factors would be considered similarity transformations.
If p(x) = x2 - 1 and 9(x) = 5(x - 1), which expression is equivalent to (0-9)(x)?
5(x - 1) - x2 - 1
(5x-1) - (x² - 1)
(x2 - 1) - 5(x - 1)
(x2 - 1) - 5x-1
Answer:
x^2 -1 - 5(x-1)
Step-by-step explanation:
p(x) = x^2 - 1 and q(x) = 5(x - 1)
p(x) - q(x) = x^2 - 1 - ( 5(x-1))
Distribute
= x^2 -1 - 5(x-1)
If you were to randomly survey 10 people at 100 random eyeglasses stores across the country, would this be a random sample?
Solve for a, please give step by step explanation
Answer:
a = (M² - f)/(3d)
Step-by-step explanation:
Step 1: Write equation
M = √(3ad + f)
Step 2: Solve for a
Square both sides: M²= 3da + fSubtract f both sides: (M² - f) = 3daDivide both sides by 3: (M² - f)/3 = daDivide both sides by d: (M² - f)/(3d) = aRewrite: a = (M² - f)/(3d)12. What is the Slope and the Y-intercept of the graph below?
Answer:
the slope is 2 the y intercept is -3
Step-by-step explanation:
hope this helps
Pablo generates the function f (x) = three-halves (five-halves) superscript x minus 1 to determine the xth number in a sequence. which is an equivalent representation? f(x 1) = five-halvesf(x) f(x) = five-halvesf(x 1) f(x 1) = three-halvesf(x) f(x) = three-halvesf(x 1)
The [tex]x^{th}[/tex] number in the sequence will be [tex]F[x]=\dfrac{5}{2} F[x][/tex]
What will be the xth number in the sequence?The given function is
[tex]F[x]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1}[/tex]
Now at [tex]x=x+1[/tex] for the function
[tex]F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x+1-1}[/tex]
[tex]F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x }[/tex]
Now we can write
[tex]F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1} \dfrac{5}{2}^1[/tex]
Since [tex]F[x]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1}[/tex]
so
[tex]F[x]=\dfrac{5}{2} F[x][/tex]
Thus the [tex]x^{th}[/tex] number in the sequence will be [tex]F[x]=\dfrac{5}{2} F[x][/tex]
To know more about Functions follow
https://brainly.com/question/24748644
Answer:
A
Step-by-step explanation:
Took exam and got 100
pls help what's 34 squared
Answer:
1156
Step-by-step explanation:
34*34
which object is more likely to be 5kg?
a lamp
a car
a dollar bill
????
Answer:
A dollar bill is to light and the car is two heavy so the car
Step-by-step explanation:
Hope this helps!
Pretty sure a lamp.
A car would be 1000kg, a dollar bill less than 1kg, so most likely a lamp.
What is the equivalent fraction of 4/6
Answer:
6/9
Step-by-step explanation:
find the area of the circle. use 3.14 for π. do not round answer
Radius = 14 : 2 = 7 in.
Area = 7 x 7 x 3.14 = 153.86 (in2)
Answer:
153.86 in²
Step-by-step explanation:
Before finding the area of the circle, first, let us find the radius.
d = 2r14 = 2r
Divide both sides by 2.
7 in = r
And now let us find the area of the circle.
Area = π r²= 3.14 × 7 × 7
= 21.98 × 7
= 153.86 in²
Solve: x2 − x − 6 x2 = x − 6 2x 2x 12 x after multiplying each side of the equation by the lcd and simplifying, the resulting equation is .
On factorization of the equation x² − x − 6 = 0. Then the values of x are −2 and 3.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The equation is given below.
x² − x − 6 = 0
On factorization, we have
x² − 3x + 2x − 6 = 0
x(x − 3) + 2(x − 3) = 0
(x − 3)(x + 2) = 0
x = −2, 3
The values of x are −2 and 3.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
Step-by-step explanation:
-2 and 3
There are 3 feet in a yard. If a shoe measures to be 1 ft. What fraction of a
yard is that?
please help this is due by tomorrow!
Answer:
(A.) 1/9
Step-by-step explanation:
So there are 9 options to choose from and the question asked about 2 of them.
I took those 2 and multiplied them by 9 which gave me 18.
So I put 2 over 18 which can be simplified by 2.
So my final answer was 1/9.
[tex]2 * 9 = 18\\\\\frac{2}{18} = \frac{1}{9}[/tex]
Sally works in a cell phone store. She is paid a weekly salary of $80 plus $5.25 for each cell phone she sells. Which equation can be used to find Sally's total weekly income?
F- y = 5.25x + 80
G- y = 80x +5.25
H- y = 85.25x
J- Not here
First, let's define some variables.
x = # of cell phones sold.
y = total weekly income.
y = $5.25x + $80
F is the correct answer choice.
Need help on this question ASAP PLEASE and thank you !
Answer:
Step-by-step explanation:
Raising both sides to the power of 10, we get [tex]x^{2}+x+14=10^{3x-5}[/tex]
Helppppppol PLS NEED
Answer:
the answer should be B)1/2
Step-by-step explanation:
there are 4 spots to land on R and 8 spots in total so it is 4/8 and when you simplify it comes out as 1/2
If VZ=p–7 and WY=p–21, what is the value of p?
Answer:
35
Step-by-step explanation:
By the triangle midsegment theorem, 2(WY)=VZ.
So, 2(p-21)=p-7, meaning p=35
Please help me for brainliest
Answer:
y=-5/3x-1
Step-by-step explanation:
Of course! Two parallel lines will have the same slope. So, we have to eliminate all equation that dont have the slope -5/3. We are left with the third option.
Answer:
[tex]y = - \frac{5}{3}x - 1 [/tex]
Step-by-step explanation:
[tex]since \: both \: lines \: have \: te \: same \: slope : \\ then \: the \: equation \: of \: a \: line : slope \: intercept \\ \: is \: given \: by : \\ y - y_{1} = m(x - x_{1}) \\ but \: the \: slope, \: m \: = - \frac{5}{3} \\ y - 4 = - \frac{5}{3}(x - ( - 3)) \\ y - 4 = - \frac{5}{3}x - 5 \\ y = - \frac{5}{3}x - 1 [/tex]
Match each number to its name.
a. 1,000,000
b. 0.01
c. 1,000,000,000
d. 0.000001
e. 0.001
f. 10,00
*One hundredth
*One thousandth
*One millionth
*Ten thousand
*One million
*One billion
To find the inverse of f(x) = 2x - 1, Patel begins by replacing f(x) with y. He
then switches x and y. What is the next step?
O A. Solve the equation for y.
O B. Solve the equation for x.
C. Subtract 1 from both sides of the equation.
D. Replace y with f1(x).
Answer:A
Step-by-step explanation:
The inverse of the function is y = (x +1) /2, the next step is to solve the equation for y, the correct option is A.
What is a Function?A function is a law that relates two variables namely, a dependent and an independent variable.
A function always has a defined range and domain, domain is all the value a function can have as an input and range is all the value that a function can have.
The function is f(x) = 2x -1
The inverse of a function is determined by interchanging the variables x and y and then solving for y in terms of x.
Patel replaced f(x) by y, y = 2x -1
He then switched x and y, x = 2y -1
The next step is to solve the equation for y.
2y = x +1
y = (x +1) /2
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What is the slope of a line that is perpendicular to the
graph of y=1/6x+8 ?
Select one:
-6
6
1/6
-1/6
Answer:
A. -6
Step-by-step explanation:
The slope of the line that is perpendicular to the graph y = ⅙x + 8, is a negative reciprocal of the slope of the graph, y = ⅙x + 8.
What this means is that, if you multiply the slope of y = ⅙x + 8, and the slope of the line perpendicular to it, you would have -1. That is [tex] m_1 * m_2 = -1 [/tex].
Where,
[tex] m_1 [/tex] = slope of y = ⅙x + 8.
[tex] m_2 [/tex] = slope of the line perdendicular to y = ⅙x + 8.
The slope of y = ⅙x + 8 is ⅙.
Substitute [tex] m_1 [/tex] = ⅙ into [tex] m_1 * m_2 = -1 [/tex], to find the slope [tex] (m_2) [/tex] of the line that is perpendicular to the graph of y = ⅙x + 8.
[tex] \frac{1}{6} * m_2 = -1 [/tex]
Multiply both sides by 6
[tex] \frac{1}{6} * m_2 * 6 = -1*6 [/tex]
[tex] 1*m_2 = -6 [/tex]
[tex] m_2 = -6 [/tex]
The slope of the line that is perpendicular to the graph of y = ⅙x + 8 is -6.