Answers
Answer:
[tex]\displaystyle h'(s) = 64s + 20[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle h(s) = (-8s - 9)(-4s + 2)[/tex]
Step 2: Differentiate
[Derivative] Product Rule: [tex]\displaystyle h'(s) = \frac{d}{ds}[(-8s - 9)](-4s + 2) + (-8s - 9)\frac{d}{ds}[(-4s + 2)][/tex][Derivative] Basic Power Rule: [tex]\displaystyle h'(s) = (1 \cdot -8s^{1 - 1} - 0)(-4s + 2) + (-8s - 9)(1 \cdot -4s^{1 - 1} - 0)[/tex][Derivative] Simplify: [tex]\displaystyle h'(s) = (-8)(-4s + 2) + (-8s - 9)(-4)[/tex][Derivative] Distribute [Distributive Property]: [tex]\displaystyle h'(s) = 32s - 16 + 32s + 36[/tex][Derivative] Combine like terms: [tex]\displaystyle h'(s) = 64s + 20[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Related Questions
Tara is selling a car that costs $12,000. She will make a commission of 10%. What will her
commission be?
Answers
Answer:
$1200
Step-by-step explanation:
Simplify the expression:
6(h + 6) + 1
Answers
Answer:
This is your answer
Answer:
6h + 37
Step-by-step explanation:
=> 6(h + 6) + 1
=> 6h + 36 + 1
=> 6h + 37...ans
HOPE IT HELPS U!!!!Please help me with this
Answers
Factor 70q+60. Write your answer as a product with a whole number greater than 1.
Answers
Answer:
10(7q + 6)
Step-by-step explanation:
Find the GCF of 70 and 60: 10Divide each number by 10 (steps shown below)70q ÷ 10 = 7q60 ÷ 10 = 6Re-write the expression with 10: 10(7q + 6)I hope this helps!
According to a human modeling project, the distribution of foot lengths of 16- to 17-year-old boys is approximately Normal with a mean of 25.5 centimeters and a standard deviation of 1.4 centimeters. Suppose a shoe store stocks shoes in men's sizes 7 through 12. These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store?
Answers
Answer:
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 25.5 centimeters and a standard deviation of 1.4 centimeters.
This means that [tex]\mu = 25.5, \sigma = 1.4[/tex]
These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this store?
Less than 24.6:
The proportion is the pvalue of Z when X = 24.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24.6 - 25.5}{1.4}[/tex]
[tex]Z = -0.64[/tex]
[tex]Z = -0.64[/tex] has a pvalue of 0.2611
More than 28.8:
The proportion is 1 subtracted by the pvalue of Z when X = 28.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28.8 - 25.5}{1.4}[/tex]
[tex]Z = 2.36[/tex]
[tex]Z = 2.36[/tex] has a pvalue of 0.9909
1 - 0.9909 = 0.0091
0.2611 + 0.0091 = 0.2702
0.2702*100% = 27.02%
27.02% of boys aged 16 to 17 will not be able find shoes that fit in this store
simplify the following expression
(x+y)²
Answers
Answer:
[tex] {x}^{2} + 2xy + {y}^{2} [/tex]
Step-by-step explanation:
1) Use square sum: (a + b)² = a² + 2ab + b².
[tex] {x}^{2} + 2xy + y^{2} [/tex]
Therefor, the answer is x² + 2xy + y².
You multiply two two-digit numbers and the product is close to 2,600.What two numbers did you multiply?
Answers
Step-by-step explanation:
the answer would be 26 and 10 because is you multiply 26×10 your answer will be 2600
Answer:
52 and 50
Step-by-step explanation:
Break it down into smaller numbers in this case 3 numbers.
26 * 10 * 10 = 2600
By multiplicative rule,
we can break 10 into 5 * 2,
giving 26 * 10 * 5 *2,
because multiplication is commutative and associative
group them up as (26 * 2) * (10 * 5) = ( 52 * 50) = 2600
A recipe includes 2 cups of flour and 2/3 cups of buttermilk. Write the ratio of the amount of flour to the amount of buttermilk as a fraction in simplest form.
Answers
Hey!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Be sure to answer all 3 and be clear which answer goes to the question. Thanks!
Answers
9514 1404 393
Answer:
A) JM = 30
B) x = 11
C) x = 18
Step-by-step explanation:
A) Chords the same distance from the circle center have the same length.
KL = 2×15 = 30 = JM
__
B) Tangents from the same point have the same length.
2x -14 = x -3
x = 11 . . . . . . . . . add 14-x to both sides
__
C) No x is shown. We presume it is the length of the tangent segment. The product of lengths to the near and far circle intercepts is the same for both secants. A tangent is a degenerate secant having both intercepts at the same point.
x² = 12(12 +15) = 324
x = √324
x = 18
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to if she rolls the two number cubes times?
Answers
What is the percent of change from 50,000 to 80,000?
Answers
Answer:
Percentage Calculator: What is the percentage increase/decrease from 50000 to 80000? = 60
Step-by-step explanation:
Please help me click the picture to see
Answers
Factoring:
Convert 0.25 to a fraction:
1/4x+97
Factor out 1/4:
Solution:
1/4(x+388) or 0.25(x+388)
Can you guys help with this?
Answers
Answer:
Step-by-step explanation:
ABC = EDF. Determine the value of x.
Answers
Answer:
The correct answer here is A. x = 17.
How I found this out:
3x + 3 and 5x - 7 are going to be different solutions in the end.
I did the process of elimination.
First, I subsituted, 17 for x. 3 X 17 + 3 = 54. 5 X 17 - 7 = 78.
I then took 180 - 54 - 48 = 78 and 180 - 78 - 48 = 54, just to make sure they are positive numbers and not negative.
Since they work out, I chose this as my correct answer to your question.
Step-by-step explanation:
Hope this helps! :)
I tried my best so I'm it's wrong.
How could we find the diameter of a circle with an area of 78.5 in.^ 2 ?? (3.14 is used for )
Answers
Answer:
I think it's A AND C. The diameter is just the radius multiplied by 2 at the end of the day.B is just wrong.
work out the angle of x please answer ASAP!!
Answers
Given:
The figure of a pentagon.
To find:
The value of the x.
Solution:
We know that, the sum of all interior angles of a pentagon is 540 degrees. So,
[tex](5x-25)+(6x+25)+(6x-3)+(9x)+(7x+15)=540[/tex]
[tex](5x+6x+6x+9x+7x)+(-25+25-3+15)=540[/tex]
[tex]33x+12=540[/tex]
Subtract both sides by 12.
[tex]33x+12-12=540-12[/tex]
[tex]33x=528[/tex]
Divide both sides by 33.
[tex]x=\dfrac{528}{33}[/tex]
[tex]x=16[/tex]
Therefore, the value of the x is 16.
9
10
11
12
A rectangular garden is 16 ft
by 30 ft. Victoria wants to
build a fence along the
diagonal of the garden.
How long does the fence
need to be?
13
14
15
16
17
18
30
19
20
16
X
21
22
23
24
Answers
Answer:
rectangles opposite sides are equal.
the diagonal of rectangle is hypotenuse of the right angle triangle.
30²+16²=x²
900+256=x²
1156=x²
1156½=x²
34=x
so, the fence need to be 34ft
The scale drawing of a room in a hotel is shown below. If 3 in. = 12 ft, what are the actual dimensions of the room?
15 in.
20 in
A length = 40 feet, width = 39 ft.
B length = 60 feet, width = 45 feet
C length = 75 feet, width = 60 feet
D length = 80 feet, width = 60 feet
Answers
Answer:
B length = 60 feet, width = 45 feet
Step-by-step explanation:
If you divide the scale drawing (15 in) by length by the scale of of the same dimension (3 in) and multiply what you get (5) by what the larger scale is (12 ft) you get the answer (60 ft)
Write the following:
a) 16 as a fraction of 152
b) 15 as a fraction of 210
Answers
Answer:
[tex]\frac{16}{152}[/tex]
[tex]\frac{15}{210}[/tex]
Step-by-step explanation:
15/210 simplified gives us 1/14
Hope this helps
Leave a like and brainliest
Howdy!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Thanks!
Answers
Answer:
Right square pyramid
Volume:
V = 1/3a²h = 1/3*3²√(4² - (3/2)²) = 11.1 ft³Surface area:
A = a² + 2al = 3² + 2*3*4 = 33 ft²Can someone please help
Answers
Answer:
6^7
Step-by-step explanation:
6^8 x 6^-1
6^{8-1}
6^7
13=2m+5
what does m equals ?
Answers
Answer:
m=4
Step-by-step explanation:
First subtract 5 from 2m and 13. This gives you 2m=8. Then divide by 2 on both sides. This gives you m=4
Answer:
m=4
Step-by-step explanation:hope it helps
5-13=2m+5-5
2/2m=8/2
m=4
four hundred twenty is 3/5 of what number
Answers
700 is the answer to your problem
140 times 5 equals 700.
you divide 420 by 3 since it is only 3/5ths. therefore you have to get it to 1/5th (aka 140) in order to get the total/complete number (aka 700).
hope this helps! have a good day/night
Look at the sections between the whole numbers on the number line below. How many equal parts are in each section? What fraction does each part show? Each mark on the number line represents a fraction. What denominator will all the fractions have? Write the missing labels on the number line.
Answers
Does anyone know how to do this?
Answers
Answer: 53
Step-by-step explanation:
Hope this helps!
SOMEONE PLEASE HELP ME ASAP ILL GIVE BRAINLIEST
Answers
6 is b. acute
Answer:
for first one
√8²+4²=24
6²=36 not right angled triangle
so it is obtuse TRAINGLE
Step-by-step explanation:
for second one
it is acute TRAINGLE
A, B and C are points on a circle with diameter AB.
ABC is a right-angled triangle.
Calculate the area of the circle.
Give your answer correct to 3 significant figures. *
Answers
Answer:
area is approximately 36.56
Step-by-step explanation:
Question 2 Mr. Smith is buying two types of gift cards to give as prizes to employees at a company picnic. He will buy restaurant gift cards that each cost S40 and movie theater gift cards that each cost $25 He has $375 to buy a total of 12 gift cards. How many of each type of gift card can Mr. Smith buy?
Answers
Answer: He can buy 5 restaurant gift cards and 7 movie gift cards
Step-by-step explanation:
The area of a circle is 25p ft 2 . What is the circumference of the circle? Explain.
Answers
Answer:
Circumference of circle = 31.42 ft.
Step-by-step explanation:
Given the following data;
Area of circle = 25π ft²
To find the circumference of the circle;
First of all, we would determine the value of its radius;
Area of circle =πr²
25π = πr²
r² = 25
Taking the square root of both sides, we have;
r = 5 ft.
Now, to find its circumference;
Circumference of circle = 2πr
Circumference of circle = 2π*5
Circumference of circle = 10π ft.
π = 3.142
10π = 10 * 3.142 = 31.42
Circumference of circle = 31.42 ft.
The table shows the pricing for four different types of apples.
Which type costs the least per kilogram?
A $4 for 1.5 kg
B $5 for 2.0 kg
C $7 for 2.5 kg
D $8 for 3.5 kg