For the given cost function C ( x ) = 19600 + 500 x + x 2 , First, find the average cost function. Use it to find: a) The production level that will minimize the average cost
Answer:
The answer is "140".
Step-by-step explanation:
Calculating the average cost:
[tex]= \frac{C(x)}{x}\\\\ = \frac{19600+500x+x^2}{x} \\\\ = \frac{19600}{x}+500 +x\\\\[/tex]
To minimize average cost we have to find x for wich A'(x)=0
[tex]A(x) = \frac{19600}{x}+500 +x \\\\A'(x) = -\frac{19600}{x^2}+1 \\\\0= -\frac{19600}{x^2}+1 \\\\\frac{19600}{x^2}=1 \\\\19600=x^2 \\\\x=140[/tex]
1-4: Triangle Similarity (AA, SSS, SAS, or not similar)
5-10: 45-45-90 and 30-60-90 right triangles
really need help
pls and ty :)
Answer:
1) SAS
2) not similar (not enough info to prove)
3) SAS
4) SSS
5) v = 8, u = 8
6) x = 8√3, y = 8
7) x = 8, y = 4√2
8) x = 10√2, y = 10
9) x = 3√2, y = 3√2
10) m = 6√3, n = 3√3
Step-by-step explanation:
Please help me this is my final question for the quarter deciding my report card grade
Answer:
$300.00
Step-by-step explanation:
The area of a semicircle is 0.2512 square inches. What is the semicircle's radius?
Answer:
0.28277
I got this by plugging in 0.2512 for "A" ( A = π r² ) Then I solved the rest ( divide both sides by pie, then taking the square root from that.
Step-by-step explanation:
Cos Milky Said it.
For 7 days, Tom recorded the number of hours he slept each night. He rounds each time to the nearest \dfrac{1}{4} 4 1 start fraction, 1, divided by, 4, end fraction of an hour. How many more hours did Tom sleep on the night he slept the most than the night he slept the least? HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
1 1/4 hours
Step-by-step explanation:
1.Tom slept the most on the night he slept 8 2/4 hours.
2.Tom slept the least on the night he slept 7 1/4 hours
3.To determine the difference between the night he slept the most and the night he slept the least, we subtract the two values.
4.The difference between the night Tom slept the most and the night Tom slept the least is 1 1/4
So your answer is 1 1/4 hours! :)
17. What is the area of the shape? *
5 cm
14 cm
4 cm
14 cm
Answer:
106cm²
Method:
Draw a line separating the two rectangles so you have one with 5cm by 10cm and the other 4cm by 14cm.
5cm by 10cm:
area = 5 × 10 = 50cm²
4cm by 14cm:
area = (4 × 10) + (4 × 4) = 56cm²
area all together:
50cm² + 56cm² = 106cm²
Step-by-step explanation:
First we have to divide the figure into 2 rectangles.
Area of rectangle 1= L*B
9*4=36cm2
Area of rectangle 2=L*B
18*5=90cm2
Total area =36+90=126cm2
PLEASE FOLLOW ME AND MARK AS BRAINILIEST
Stuck on these, help?
Hi there! Your answers are listed below in the explanation.
Please see an explanation for a clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
[tex] \large \boxed{ {a}^{2} + {b}^{2} = {c}^{2} }[/tex]
First, find the missing value of hypotenuse by using Pythagorean Theorem which is in the box.
Given where a and b can be either adjacent or opposite and c-term is hypotenuse.
[tex] \large{ {8}^{2} + {15}^{2} = {c}^{2} } \\ 64 +225 = {c}^{2} \\ 289 = {c}^{2} \\ 17 = c[/tex]
Therefore, the hypotenuse is 17. Next, we are going to find a trigonometric ratio.
[tex] \large \boxed{ \mathsf{sin = \frac{opposite}{hypotenuse}}} \\ \large \boxed{ \mathsf{cos = \frac{adjacent}{hypotenuse}}} \\ \large \boxed{ \mathsf{tan = \frac{opposite}{adjacent}}}[/tex]
sin A means that A is our angle. Therefore, we focus on angle A for our calculation. Adjacent for sin A, cos A and tan A are 15. Opposite is 8 and Hypotenuse is 17.
Therefore,
[tex] \large{ \mathsf{sinA = \frac{8}{17}} } \\ \large{ \mathsf{cosA = \frac{15}{17}} } \\ \large{ \mathsf{tanA = \frac{8}{15}} }[/tex]
Next is sinB, cosB and tanB. That means we focus on angle B. Therefore, our adjacent for this would be 8. Opposite would be 15 and hypotenuse is the same which is 17.
[tex] \large{ \mathsf{sinB = \frac{15}{17}}} \\ \large{ \mathsf{cosB = \frac{8}{17}}} \\ \large{ \mathsf{tanB = \frac{15}{8}}}[/tex]
Calculate the area of the composite figure.
20 in.
7 in.
7 in.
Answer:
115.5 in²
Step-by-step explanation:
7 x 7 = 49
49/2 = 24.5
(20-7) x 7 = 13 x 7 = 91
24.5 + 91 = 115.5
Which equation describes a line with
y-intercept (0,5) that passes through
the point (2, 1)?
Answer:
Step-by-step explanation:
A box has a volume given by the trinomial x^3 + 4x^2 — 32x. What are the possible dimensions of the box?
Answer:
x(x-4)(x+8)
Step-by-step explanation:
Factor.
x(x^2+4x-32)
x(x-4)(x+8)
Sandi buys some fabric to make a quilt. She needs 1/5 yard of each type of fabric. She has 9 different types of fabrics to make her design. sandi writes the following equation. (Answer: 9)
Answer:
1/5*9
Step-by-step explanation:
if sandi has 9 different types of fabric she would multiply each amount of equal fabric to get the answer so it would be 1/5*9
50 POINTS PLEASE HELP Based on this data, you could expect a skate blade with a radius of hollow of 19 mm to have a stopping distance of
4 1/2 m
5 m
5 1/2 m
6 m
Answer:
5 m
Step-by-step explanation:
What is the magnitude of the change of Stock A?
Answer:
Step-by-step explanation:
D. 4.15
Write an equation
will give brainlest
Ky'ree paid $10 for a pizza. He now has $46. How much money did he have before buying the pizza?
Answer:
m-10=46Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASlet's solve:let her total money be m
according to the question
m-10=46Jesse bought a car for $25,000. The car
depreciates approximately 10% of its value
each year. What will the car be worth in 5
years?
Answer:
Approximately $14,760 to the nearest 10 dollars.
Step-by-step explanation:
After each year passes the car is worth 100-10 = 90% of the previous year.
So the equation is
A = 25000(0.90)^t where A is the value of the car and t = the time in years.
So in 5 years:
A = 25000(0.90)^5
= 14762.25
HELP PLEASEEEE MATH PROBELM!!!!!
Answer:
15
Step-by-step explanation:
I forgot all of my math vocab but basically because the two lines are parallel, those two angles are equal to each other, so 4x-30=2x
subtract 2x from both sides so that 2x-30=0
Now add 30 to both sides
2x=30
divide both sides by two
x=15
how do you find the product of (3x+4)^2
each number and variable inside the parentheses has an exponent, in this case all of them are 1.
3^2 * x^2 + 4^2
9*x^2+16
final answer:
25x^2David invested $89,000 in an account paying an interest rate of 3.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 15 years?
Answer:
140,690
Step-by-step explanation:
89000*1.031^15=140692.188712
= 140,690
After 15 years, $141,689 would be the amount in the account.
What is continuous compound interest?Interest that compounded continuously to the principal amount. This interest rate provides exponential growth to a period of time.
Formula of continuous compound interest rate;
A = P[tex]e^{rt}[/tex],
where P is the principal amount, r is the interest rate and t is the time period.
Given:
David invested $89,000 in an account paying an interest rate of 3.1% compounded continuously.
Assuming no deposits or withdrawals are made.
P (principal) = $89,000.00
First, convert R as a percent to r as a decimal
r = R/100
r = 3.1/100
r = 0.031 rate per year,
Then solve the equation for A
A = P[tex]e^{rt}[/tex]
A = 89,000.00(2.71828[tex])^{(0.031)(15)}[/tex]
A = $141,689
Therefore, the amount is $141,689.
To learn more about the continuous compound interest;
https://brainly.com/question/18722165
#SPJ2
Answer:
Range is 33
Mean is 34
Median is 29
Mode is 26
Step-by-step explanation:
Hope this helps!
Sina played basketball on a rectangular court that was 74 feet by 42 feet. After the game, she walked across the court diagonally from one corner to the opposite corner. Approximately what distance did Sina walk in feet?
A: 85
B: 116
C: 61
D: 58
Answer:
85 ft
Step-by-step explanation:
Use the Pythagorean theorem to find the length of the diagonal of the rectangle.
c^2 = a^2 + b^2
c^2 = 74^2 + 42^2
c^2 = 5476 + 1764
c^2 = 7240
c = sqrt(7240)
c = 85
Answer: 85 ft
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Match the points on
the number line with the rational numbers they represent.
A
B
C
D
E
1.3
-1.7
1.7
-0.8
-0.2
Answer:
A: 1.7
B: 1.3
C: -0.2
D: -0.8
E: -1.7
Step-by-step explanation:
frist one to do it gets brainist
Answer:
tennis and chess
Step-by-step explanation:
Circles C and D overlap. The distance from point C to point D is 7 centimeters. What is the sum of the areas of circle C and circle D? 7Pi units squared 14Pi units squared 49Pi units squared 98Pi units squared
Answer:
98π cm²
Step-by-step explanation:
A circle is a plane figure. A circle is the locus of a point such that its distance from a given point is always constant.
We can see that both circle C and circle D are equal with a radius of 7 cm.
Area of circle C = π* radius² = π * 7² = 49π cm²
Area of circle D = π* radius² = π * 7² = 49π cm²
The sum of the areas of circle C and circle D = Area of circle C + Area of circle D = 49π + 49π = 98π cm²
Answer:
c
Step-by-step explanation:
To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Jandeliz buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the MEASUREMENT error?
1, 0.96
2. 0.1
3. 0.042
4. 0.04
Answer: 0.04
Step-by-step explanation:
The measurement error is calculated as:
= Error / Ideal value
= (2.5 - 2.4) / 2.5
= 0.1/2.5
= 0.04
Therefore, the correct option is D.
[tex]11 - 4d = 71[/tex]
help me out hea please♀️
Evaluate without using a calculator (x2y-3)0+x1/3-(4x)1/2 when x = 64 and y = 27. Show work.
Given:
The expression is:
[tex](x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}[/tex]
To find:
The value of the given expression when [tex]x=64[/tex] and [tex]y=27[/tex].
Solution:
We have,
[tex](x^2y-3)^0+x^{\frac{1}{3}}-(4x)^{\frac{1}{2}}[/tex]
Putting [tex]x=64[/tex] and [tex]y=27[/tex], we get
[tex]=((64)^2(27)-3)^0+(64)^{\frac{1}{3}}-(4(64))^{\frac{1}{2}}[/tex]
It can be written as
[tex]=((64)^2(27)-3)^0+(4^3)^{\frac{1}{3}}-(4)^{\frac{1}{2}}(64)^{\frac{1}{2}}[/tex]
[tex]=1+4-2(8)[/tex] [tex][\because a^0=1,a\neq 0][/tex]
[tex]=5-16[/tex]
[tex]=-11[/tex]
Therefore, the value of the given expression [tex]-11[/tex] when [tex]x=64[/tex] and [tex]y=27[/tex].
4/11 divided by 1/7
Answer:
28/11
Step-by-step explanation:
4x7=28
1x11=11
so and: 28/11
hope this helps
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
Answer:
-972
Step-by-step explanation:
if f(1)= 4 and f(n) = -3f(n-1) then find the value of f(6)
If f(1)= 4
f(2) = -3f(2-1)
f(2) = -3f(1)
f(2) = -3(4)
f(2) = -12
f(3) = -3f(3-1)
f(3) = -3f(2)
f(3) = -3(-12)
f(3) = 36
f(4) = -3f(4-1)
f(4) = -3f(3)
f(4) = -3(36)
f(4) = -108
f(5) = -3f(5-1)
f(5) = -3f(4)
f(5) = -3(-108)
f(5) = 324
f(6) = -3f(6-1)
f(6) = -3f(5)
f(6) = -3(324)
f(6) = -972
hence the sixth term of the sequence is -972
the equations in the triangle consist of (2x +1) and (5x +5)
Libby takes a test that has a total possible score of 800. Each question is worth the same
number of points. If she misses 3% of the questions, what is her score?
Answer:
Step-by-step explanation:
800(1-3/100)
800(100-3)/100
800(97)/100
77600/100
776 is her score.