Answer:
18
Step-by-step explanation:
If 100% is 9 then you need to multiply by 2 to get 200% which is 18.
Answer:
4.5
Step-by-step explanation:
To get from 200% to 100%, you have to divide by 2, so then do the same thing to 9.
9 divided by 2 is 4.5
What is the solution to the system of equations?
y = 1/3x -10
2x + y = 4
(–8, 6)
(–6, 16)
(6, –8)
(16, –6)
Equation for (-2,-5) and (1,-3) in slope-intercept form
Answer:
y=2/3x-11/3
Step-by-step explanation:
First, find the slope.
m= y2-y1/x2-x1
-3+5/1+2 = 2/3
Slope is 2/3
Now, pick one of the coordinates and use that and the slope to put it in point-slope form.
Point slope form: y-y1=m(x-x1)
Let's use (1,-3)
y+3=2/3(x-1)
Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.
y+3=2/3x-2/3
y=2/3x-11/3
Answer:
y=2/3x-11/3
Step-by-step explanation:
use slope formula and slope intercept form. y=mx+b
write the equation of the like that is parallel to the line y=3x+6 and passes through the point (4,7)
Answer:Find the slope of the original line and use the point-slope formula
y
−
y
1
=
m
(
x
−
x
1
)
to find the line parallel to
y
=
3
x
+
6
.
y
=
3
x
−
5
Step-by-step explanation:
Demarcus and Devon were working on this problem:
A phone costs $300. The price will increase by 15%
next week.
Devon thinks the new price of the phone will be $315.
Demarcus thinks it will be $345. Who is right?
Answer:
Demarcus is right the phone will cost $345
Step-by-step explanation:
15% of 300 = 45
300+45=345
3x+y=-8
-2x-y=6
Find X and Y By Substituting
(-2,-2) is the answer .............
A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?
Answer:
The gas pump filling the gallons in 1 minute will be: 15
Step-by-step explanation:
Given that a gas pump fills 2^-2 gallon of gasoline per second.As there are 60 seconds in 1 minute.
Thus,
Gas pump filling the gallons in 1 minute will be:
[tex]60\:\times 2^{-2}[/tex]
[tex]=60\times \frac{1}{2^2}[/tex] ∵ [tex]a^{-b}=\frac{1}{a^b}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]
[tex]=\frac{1\times \:60}{2^2}[/tex]
[tex]=\frac{60}{2^2}[/tex]
[tex]=\frac{2^2\times \:3\times \:5}{2^2}[/tex]
[tex]=3\times \:5[/tex]
[tex]=15[/tex] gallons in one minute
Therefore, the gas pump filling the gallons in 1 minute will be: 15
Could I get help with this?
Answer:
x int= -4 y int= 1
Step-by-step explanation:
intercepts refer to the place on the each axis where the line passes through
4x^2+x^3 factorised
How do you do this?...
Answer:
X²(4+x)
Step-by-step explanation:
You pick out the common term
Greetings.
The answer is x²(4+x)
Explanation:
[tex]4x^2+x^3\\[/tex]
By using a common factor, we factor x-term out. We factor the x-term with least degree and that is 2-degree. So we factor x² out.
When factored out, It's similar to dividing. When x² is divided by itself, the result is 1. When x³ is divided by x², the result is x (From the property of exponent.)
Similar to dividing, but we pull x² out.
[tex]4x^2+x^3\\x^2(4+x)[/tex]
Therefore, the answer/factored form is x²(4+x)
HELP PLEASE!!! Math question
Answer:
(a). [tex]\frac{3}{7}[/tex]
(b). [tex]\frac{4}{13}[/tex]
Step-by-step explanation:
(a). Odds in favor of winning a new T.V. = [tex]\frac{4}{7}[/tex]
Or probability of not winning a new T.V. = [tex]\frac{4}{7}[/tex]
Since, Probability to win a T.V. + Probability of not winning the new T.V. = 1
Probability of winning a new T.V. = 1 - Probability of not winning a new T.V.
= 1 - [tex]\frac{4}{7}[/tex]
= [tex]\frac{7-4}{7}[/tex]
= [tex]\frac{3}{7}[/tex]
(b). Probability of winning the match + probability of not winning the match = 1
[tex]\frac{9}{13}[/tex] + Probability of not winning the match = 1
Probability of not winning the match = 1 - [tex]\frac{9}{13}[/tex]
= [tex]\frac{13-9}{13}[/tex]
= [tex]\frac{4}{13}[/tex]
A science fair poster is a rectangle 4 feet long and 3 feet wide. What is the area of the poster in square inches?
Be sure to include the correct unit in your answer.
in
in?
in?
G
Х
?
The perimeter of a rectangle,p, is given by p =2L + 2W , where L is its length and w is its width what is the perimeter of a rectangle of length 15ft and width 15ft ?
Answer:
60ft
Step-by-step explanation:
multiple the length by 2
15 times two equals 30
multiple the width by two
15 times two equals 30
add the total lengths and widths
30 plus 30 equals 60
ans=60
the length of a rectangle is three times its width ,if the width is x cm. write down an expression of length in term of x
Answer:
L = 3x cm
Step-by-step explanation:
For this problem, let's consider the relation that is stated:
Length is 3 times as much as the width. The width is x cm.
Mathematically we can say the following:
L = 3W
W = x cm
So we can say the following about the length:
L = 3W
L = 3(x cm)
L = 3x cm
Cheers.
1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?
2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?
3. If the profit function for a product is P(x) = 3600x + 60x2 ? x3 ? 72,000 dollars, selling how many items, x, will produce a maximum profit?.
Answer:
a. The number of units which will minimize average cost is approximately 5,130 units.
b. The firm should produce 12,500 items, x, for maximum profit.
c. The number of items, x, that will produce a maximum profit is 60 items.
Step-by-step explanation:
Note: This question is not complete as there are some signs are omitted there. The complete question is therefore provided before answering the question as follows:
1. If the total cost function for a product is C(x) = 200(0.02x + 6)^3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?
2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?
3. If the profit function for a product is P(x) = 3600x + 60x2 - x3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?
The explanation to the answer is now given as follows:
1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?
Given;
C(x) = 200(0.02x + 6)^3 ……………………………………….. (1)
We first simplify (0.02x + 6)^3 as follows:
(0.02x + 6)^3 = (0.02x + 6)(0.02x + 6)(0.02x + 6)
First, we have:
(0.02x + 6)(0.02x + 6) = 0.004x^2 + 0.12x + 0.12x + 36 = 0.004x^2 + 0.24x + 36
Second, we have:
(0.02x + 6)^3 = 0.004x^2 + 0.24x + 36(0.02x + 6)
(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 7.20x + 0.0024x^2 + 1.44x + 216
(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 0.0024x^2 + 7.20x + 1.44x + 216
(0.02x + 6)^3 = 0.00008x^3 + 0.0504x^2 + 8.64x + 216
Therefore, we have:
C(x) = 200(0.02x + 6)^3 = 200(0.00008x^3 + 0.0504x^2 + 8.64x + 216)
C(x) = 0.016x^3 + 10.08x^2 + 1,728x + 43,200
Therefore, the average cost (AC) can be calculated as follows:
AC(x) = C(x) / x = (0.016x^3 + 10.08x^2 + 1,728x + 43,200) / x
AC(x) = (0.016x^3 + 10.08x^2 + 1,728x + 43,200)x^(-1)
AC(x) = 0.016x^2 + 10.08x + 1,728 + 43,200x^(-1) …………………………. (2)
Taking the derivative of equation (2) with respect to x, equating to 0 and solve for x, we have:
0.032x + 10.08 - (43,300 / x^2) = 0
0.032x + 10.08 = 43,300 / x^2
X^2 * 0.32x = 43,300 – 10.08
0.32x^3 = 43,189.92
x^3 = 43,189.92 / 0.32
x^3 = 134,968.50
x = 134,968.50^(1/3)
x = 51.30
Since it is stated in the question that x represents the number of hundreds of units produced, we simply multiply by 100 as follows:
x = 51.30 * 100 = 5,130
Therefore, the number of units which will minimize average cost is approximately 5,130 units.
2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?
P(x) = R(x) - C(x) ……………. (3)
Where;
P(x) = Profit = ?
R(x) = 450x-1/100x^2
C(x) = 500 + 200x
Substituting the equations into equation (3), we have:
P(x) = 450x - 1/100x^2 - (500 + 200x)
P(x) = 450x - 0.01x^2 - 500 - 200x
P(x) = 450x - 200x - 0.01x^2 - 500
P(x) = 250x - 0.01x^2 – 500 …………………………………. (4)
Taking the derivative of equation (4) with respect to x, equating to 0 and solve for x, we have:
250 - 0.02x = 0
250 = 0.02x
x = 250 / 0.02
x = 12,500 items
Therefore, the firm should produce 12,500 items, x, for maximum profit.
3. If the profit function for a product is P(x) = 3600x + 60x2 – x^3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?
Given;
P(x) = 3600x + 60x2 – x^3 - 72,000 …………………………. (5)
Taking the derivative of equation (5) with respect to x, equating to 0 and solve for x, we have:
3600 + 120x - 3x^2 = 0
Divide through by 3, we have:
1200 + 40x – x^2 = 0
1200 + 60x – 20x – x^2 = 0
60(20 + x) – x(20 + x) = 0
(60 – x)(20 + x) = 0
Therefore,
x = 60, or x = - 20
The negative value of x (i.e. x = - 20) will be will be ignored because it has no economic significance. Therefore, the number of items, x, that will produce a maximum profit is 60 items.
Please someone help I will give lots of points for the brilliantest answer.
Answer:
5 + 3 = 8
10 + 6 = 16
15 + 9 = 24
No she will need a total of 48
Step-by-step explanation:
24 + 16 + 8 = 48
Answer:
25 liters blue for a total of 40.
The rest of the table is:
Blue: White: Total:
15 9 24
20 12 32
25 15 40
Step-by-step explanation:
I multiplied 8 times 5 to get 40 (the total amount of liters)
Then I also had to multiply 5 by 5 to balance out the equation, and got 25.
1) Given: H is the midpoint of EG
mZE = mZG
G
D
Prove: ADEH - AFGH
H.
E
F
It is E
Duhhhhhhhhhhhhh
Points A and B are 200 mi apart.
Answer:
17*200/17+83
Step-by-step explanation:
Points A and B are 200 mi apart. A cyclist started from point A and a motorcyclist started from point B, moving towards each other. The speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. At what distance from point A will they meet?
The distance under the question is 17*200/17+83= 17*2 = 34 miles.
17+83 = 100 mph in the denominator is the relative speed of the participants, the rate of decreasing the distance between them.
200/17+83=200/100= 2 hours is the time before they meet.
therefore 17*200/17+83 is the time before they meet
If mZMRT = 133º , then which equation can be used to find g?
Answer:
D
Step-by-step explanation:
We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.
(2g - 2) + (4q - 9) = 133
6q - 11 = 133
6q = 144
q = 24
Best of Luck!
D. (2g - 2)+(4g -9) = 133
Because,
Given, angle MRT = 133°
and MRN = 2g - 2 °
and NRT = 4g - 9°
and MRT = MRN + NRT .........(equation (i))
Placing values in equation (i) we get,
133° = (2g - 2)° + (4g - 9)°
=> 133 = (2g - 2) + (4g - 9)
=> (2g - 2) + (4g - 9) = 133
Which angle corresponds to angle 6
Help please! I need an explanation but I dont understand this!!!!!!!
Answer:
its to small
Step-by-step explanation:
in a company, 40% of the workers are women. If 1380 woman work for the company, how many total workers are there?
Answer:
Step-by-step explanation:
The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:
(remember that the word "of" generally means to multiply)
(also remember that we have to use the decimal form of a percent in an equation)
.40(x) = 1380 then divide to get the number of total workers:
x = 3450
a square number never end with 7 true or false
Step-by-step explanation:
true
hope it helps!
.......
I needdddddd helppppppp
Answer:
what is the question
Step-by-step explanation:
The cylindrical part grain silo is 10 meters tall and has a radius of 5 meters.
What is the volume of grain that the cylindrical part of the silo will hold?
50π m³
250π m³
500π m³
750π m³
Answer:
Volume of cylinder = 250πm³
Step-by-step explanation:
Given:
Height h = 10 m
Radius r = 5 m
Find:
Volume
Computation:
Volume of cylinder = πr²h
Volume of cylinder = π(5)²(10)
Volume of cylinder = 250πm³
Can someone please help me if you know! Thank you
Answer:
D
Step-by-step explanation:
the equation for Josh is 500 + 40x while the equation for Vanessa is only 60x
if josh's account balance is greater than it would be josh > vanessa or vanessa < josh
Delta math needed!!!
Answer:
Parallel
Step-by-step explanation:
Slopes of the line
g(x) = -4x2 + 4x – 2
What is the maximum or minimum step by step
We want the maximun or minimum of [tex]g(x)=-4x^2+4x-2[/tex]
Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.
To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:
[tex]g'(x)=-8x+4[/tex]
To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have
[tex]0 = -8x+4\\8x=4\\x=\frac{1}{2}[/tex]
So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.
[tex]g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1[/tex]
Therefore, the maximum point [tex]M[/tex] of the function is
[tex]\boxed{M=(0.5,-1)}[/tex]
Glad to help! Wish you great studies.
If you found this helpful consider giving this answer brainliest ;)
A model of a skyscraper uses the scale of 2 inches = 45 feet. If the actual skyscraper is 992 feet tall, how tall is the model?
Answer:
44.08 or 44.1
Step-by-step explanation:
OK so the basics of this question is that for every 45 feet of the actual skyscraper we have 2 inches in the model. The first thing we do is divide 992/45 which equals 22.04. Know if this was 1 inch for every 45 feet we would be done however we need to multiply this number by 2 to get our answer so 22.04*2 =44.08
Evaluate the function for the given value of x.
Find the quotient: 6)27L 600 mL
Answer:
27*1000=27000ml
600ml
Now, 27000ml+600ml=27600ml
Step-by-step explanation:
How many ounces are equal to 7 pounds?
1) 112 ounces
70 ounces
84 ounces
56 ounces
My Progress >
Answer:
112
Step-by-step explanation:
16 ounce multiply that by 7. 112. This correct i googed it