Answer:
f'(x) = -6/x³
Step-by-step explanation:
We are given;
f(x) = 3/x²
Using quotient rule, we can write as;
f(x) = g(x)/h(x)
To find the derivative, from quotient rule, we can write;
f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²
g'(x) = 0
h'(x) = 2x
Thus;
f'(x) = [(x²*0) - (3*2x)]/(x²)²
f'(x) = -6x/x⁴ = -6/x³
f'(x) = -6/x³
Matteo is following this recipe to make a cake.
He wants to make three of these cakes.
How much of each ingredient does he need?
Recipe: Makes 1 cake
8 ounces butter
7 ounces sugar
10 ounces of flour
4 eggs
1 teaspoon (tsp) baking powder
Answer:
30 ounces of butter
25 ounces of sugar
35 ounces of flour
15 eggs
10 tbps of baking powder
Step-by-step explanation:
All you do is multiple each quantity by 5 I think
we are learning about this in school but check the web to see if it is correct
A rectangular picture frame has a perimeter of 58 inches. The height of the frame is 14 inches. What is the width of the frame?
Answer:
15
Step-by-step explanation:
14+14=28
58-28=30
30/2=15
Answer:
Step-by-step explanation:
the perimeter of the rectangle is in this case
P=2h+2w
58=2(14)+2w
58=28+2w
58-28=2w
30=2w
w=30/2=15
Simplify the following surd expressions-
Answer:
[tex]\sqrt{2}[/tex] and 4[tex]\sqrt{11}[/tex]
Step-by-step explanation:
To simplify like surds, add/ subtract the coefficients.
(a)
[tex]\sqrt{2}[/tex] (6 - 5)
= [tex]\sqrt{2}[/tex] (1)
= [tex]\sqrt{2}[/tex]
(b)
[tex]\sqrt{11}[/tex] ( 1 + 3)
= [tex]\sqrt{11}[/tex] (4)
= 4[tex]\sqrt{11}[/tex]
5 minus negative 6 minus one equal 9
George wants to rent a car for a road trip with his friends. He checked the rentals with two companies. Company A charges a non-refundable fee of $50 and then also $150 for each day. Company B charges using the function 50(2+1). Compare the two functions. Which function has a great rate of change?
Answer:
Company A has a greater daily rate
Step-by-step explanation:
Given
Company A
[tex]Base\ Charges=\$50[/tex]
[tex]Daily\ Rate = \$150[/tex]
Company B
[tex]f(x) = 50(2x +1)[/tex]
Required
Determine the company with greater rate
Simplify the expression of company B
[tex]f(x) = 50(2x +1)[/tex]
[tex]f(x) = 50 * 2x + 50 * 1[/tex]
[tex]f(x) = 100x + 50[/tex]
In a linear function:
[tex]f(x) = mx + b[/tex]
m represents the rates.
This implies that the rate of company B is:
[tex]Rate =100[/tex]
and the rate of company A is
[tex]Daily\ Rate = \$150[/tex]
By comparison:
Company A has a greater daily rate
Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.
A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.
Which is the correct interpretation of the standard deviation?
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.96 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.96 from the expected number of eggs.
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.4 from the expected number of eggs.
Answer:
C
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.
The correct interpretation of the standard deviation of the discrete distribution is:
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.What is the standard deviation of a discrete distribution?To find the standard deviation, first we have to find the mean.The mean is given by the sum of each outcome multiplied by it's respective probability.The standard deviation is given by the square root of the sum of the difference squared of each outcome and the mean, multiplied by it's respective probability.It represents by how much the distribution varies from the expected value.In this problem, the distribution is:
[tex]P(X = 0) = 0.02[/tex]
[tex]P(X = 1) = 0.03[/tex]
[tex]P(X = 2) = 0.07[/tex]
[tex]P(X = 3) = 0.12[/tex]
[tex]P(X = 4) = 0.30[/tex]
[tex]P(X = 5) = 0.28[/tex]
[tex]P(X = 6) = 0.18[/tex]
Hence, the mean is:
[tex]E(X) = 0.02(0) + 0.03(1) + 0.07(2) + 0.12(3) + 0.3(4) + 0.28(5) + 0.18(6) = 4.21[/tex]
Then, the standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{0.02(0-4.21)^2 + 0.03(1-4.21)^2 + 0.07(2-4.21)^2 + 0.12(3-4.21)^2 + 0.3(4-4.21)^2 + 0.28(5-4.21)^2 + 0.18(6-4.21)^2} = 1.40[/tex]
Hence, the correct option is:
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.As the measure is the number of eggs, not the mean number of eggs.
You can learn more about the standard deviation of a discrete distribution at brainly.com/question/21186607
Find the value of x using the pythagorean theorem.
Do the side lengths form a pythagorean triple?
Answer:
[tex] {x}^{2} = {9}^{2} + {40}^{2} \\ {x}^{2} = 81 + 1600 \\ {x}^{2} = 1681 \\ x = \sqrt{1681} \\ x = 41[/tex]
plzz ,thnx my answer...
Which is the graph of y=-2x+3
Answer:
the top right
Step-by-step explanation:
631 - 2.9817 = ?
Please be sure to share the process!
Answer:
it's 63
explanation
2.9817
-
631
__________
631.9817
Because 2-1=1
1. What is the supplement of an angle measuring 35°? 2. What is the complement of an angle measuring 70°?
PLEASE HELP
Answer: Q1.=145, Q2.=20
Step-by-step explanation:
two supplementary angles equal 180
1. 180-35=145
2 . complementary angles , both add up to 90
90-70=20
Express the number 3.785 x 10^-6 in decimal form. Answer:
Can someone help me with these questions please
Answer:
GK = MOKG = OMM = G (m also equals 50°)HK = 8ftRAC = GOE
Step-by-step explanation:
Which method of taking notes includes a summary at the end?
charting
outlining
mapping
Cornell
Answer:
I would say c sorry if its wrong
6. 188 students went on a field trip. Five buses were filled and 18
students traveled in cars. How many students were in each bus?
Answer:
34
Step-by-step explanation:
188 - 18 = 170 divided by 5 equals 34
Answer:
34 students per bus
Step-by-step explanation:
188 - 18 = 170, The number 170 is the total amount of students who were on buses
170 ÷ 5 = 34 This is the total number of students divide by the number of buses which gave the number of how many students were in each bus
the price of a pair of sneakers increases from $52 to $64. what is the percent increase. round to the nearest percent. show all work
Answer: Step 1: Calculate the change by subtracting old cost ($52) from the new cost ($64)
Step 2: Divide that change by the old cost ($52). You will get a decimal number
Step 3: Convert the decimal number to a percentage by multiplying by 100%
It's not the answer but it help to answer the question:)
Step-by-step explanation:
10 = k + 3 + 6k
How do I solve this equation?
Answer:
k = 1
Step-by-step explanation:
[tex]10=k+3+6k\\\\10=k+6k+3\\\\10=7k+3\\\\10-3=7k+3-3\\\\7=7k\\\\\frac{7=7k}{7}\\\\\boxed{1=k}[/tex]
Hope this helps.
Answer:
K=1
Step-by-step explanation:
So first you would add the K's together.(6k+k=7k)
10=7k+3
Then you would subtract 3 from 3 and 10
7=7k
Divide 7 on both sides
k=1
Hope that helps:)
Stephanie bought 5 bananas for 1.25. How much would 13 bananas cost? please answer as soon as possible
Answer:
$3.25
Step-by-step explanation:
$1.25/5=$0.25 per banana
0.25x13=$3.25 for all 13 bananas
4(46 + 3) + 2b = 3 (6 - 11)
Answer:
[tex]4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5[/tex]
how much longer is a 1 -inch button than a 3/8 -inch button
Answer:
5/8
Step-by-step explanation:
i took the quiz
Find the Value of x and y. Iready
Answer:
x- 63 and y - 27
Step-by-step explanation:
Answer:
the last one
Step-by-step explanation:
What would be the total cost of software F
over time?
The total cost of software F over time is $5000.
What is a satisfaction rate?For questions involving Customer Satisfaction Score, "Satisfaction Rate" is computed. It's calculated to provide you with an overall satisfaction rating of your respondents' responses to your goods and services.
Cost of Software F = $10000
Satisfaction rate with Software F = 90%
Cost of satisfaction level = $0
Cost of dissatisfaction level = $5000
Percentage of not satisfied = 10%
The total cost of Software F over time is :
= {($10000 x 90% - $0) + ($10000 x 10% - $5000)}.
= $5000
Therefore, cost of software F over time is $5000.
Learn more about the satisfaction rate : https://brainly.com/question/25940131
#SPJ2
Are the ratios 1:5 and 4:20 equivalent?
Answer:
yes they are
Step-by-step explanation:
4:20 can be simplified till 1:5
Answer:
Yes
Step-by-step explanation:
If you simplify 4:20 by dividing both sides by 4, you'll end up with 1:5, meaning they are equivalent.
PLZZZ. HELP ME. IM GIVING AWAY LOADS OF POINTSSSSSSSSSSSS
ADD. (+5)+(-19) =
how do u do this without a calculator
Answer:
-14
Step-by-step explanation:
Its the same as 5-19
8/9+4/7
.........................................
Answer:
1.46 or 1 ²³/₅₀
Step-by-step explanation:
Just plug it into a calculator!!
Brainliest Please??
Tyson is 6 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Tyson's height in centimeters?
Answer:
187.96 cm
Step-by-step explanation:
Given hat
Tyson is 6 feet and 2 inches tall
Also
There is 2.54 cm in 1 inch
Now the tyson height in the centimeter is
= 6.16666 × 30.48
= 187.96
Hence, the Tyson height in the centimeter is 187.96
Answer:
187.96
Step-by-step explanation:
(answer d)
help me plsss!!!!!!!!
Answer:
the answer is b
hope that helps
van purchased a DVD player on sale the original price was $171.50 the sale price was $149.37 what is the first step finding the percent markdown find the percent markdown
Answer:
12.90%
Step-by-step explanation:
Given ;
Original price = 171.50
Sale price = 149.37
To find the % markdown :
Markdown = Purchase price - sale price
171.50 - 149.37 = 22.13
(Markdown / purchase price) * 100%
(22.13 / 171.50) * 100%
0.1290379 * 100%
= 12.90%
y+4=2y-3, find y and show your work.
Answer:
y = 7
Step-by-step explanation:
we can substitute y for 7 in the equation to confirm that y = 7
7 + 4 = 2(7) - 3
7 + 4 = 14 - 3
11 = 14 - 3
11 = 11
(sorry if this is confusing but I hope it helped)
sort the cities from closest to farthest from sea level.
Please help me
Here is a story: Lin bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left. А. 28 1. What part of the story does represent? x + 1 x + 1 x + 1 x + 1 B 28 2. Would eating an apple be represented by subtraction or addition? 1 X X C С 1 3. Which diagram best represents the story? 4. What is the value of x? X-1 x-1 x - 1 28
Answer:
X-1 X-1 X-1 28
Step-by-step explanation: