Answer:
The answer of this question is 62.53.
Suppose the derivative of f exist, find the equation of the tangent line.
Part (a)
Answers:
g ' (2) = 32y = 32x-44-----------------------------------
Work Shown:
Refer to figure 1 in the screenshot attached below.
========================================================
Part (b)
Answers:
h ' (2) = -2y = -2x+9-----------------------------------
Work Shown:
Refer to figure 2 in the screenshot attached below.
Correction:
The derivative for h should be
[tex]h(x) = f(x)*(x-1)^{-1}\\\\h'(x) = \frac{d}{dx}[f(x)*(x-1)^{-1}]\\\\h'(x) = \frac{d}{dx}[f(x)]*(x-1)^{-1}+f(x)*\frac{d}{dx}[(x-1)^{-1}]\\\\h'(x) = f'(x)*(x-1)^{-1}+f(x)*(-1(x-1)^{-2})\\\\[/tex]
I had a -2 in there instead of -1 as the coefficient.
You should find that h ' (2) = -2
That would then lead to y = -2x+9
The steps shown in figure 2 are effectively the same, just with different numbers of course.
25) Which number is a common factor of 16 and 56?
Answer:
Factors of 16: 1, 2, 4, 8, 16
Factors of 56: 1, 2 , 4, 7, 8, 14, 28, 56
GCF: 8
Step-by-step explanation:
(10p+10)+(8p−1) factored?
anyone know, please, i need this for school..
Answer:
the answer is
9(2p+1)
Answer:
18p +9
Step-by-step explanation:
Because you add the numbers in front of the p's (10+8) and then you add 10 plus -1, which is 9.
Hope this helps! Have a good day and remember to be tiger fierce!! :)
Scientist are studying a bacteria sample. The function f(x) - 325(1.17)* gives the number of
bacteria in the sample at the end of x days.
Which statement is the best interpretation of one of the values in this function?
A The initial number of bacteria is 17.
B. The initial number of bacteria decreases at a rate of 83% each day.
C The number of bacteria increases at a rate of 17% each day,
D The number of bacteria at the end of one day is 325,
A rope 55 feet long is cut into two pieces. If one piece
is 23 feet longer than the other, what is the length, in
feet, of the shorter piece?
A. 2
B. 16
C. 23
D. 32
E. 51
Answer:
the answer is D
Step-by-step explanation:
55-23=32
Answer:
16
Step-by-step explanation:
shorter piece measures x
longer piece measures x +23
Together they measure 55 ft
x + (x+23) = 55
2x + 23 = 55
-23 = -23
____________________
2x = 32
x = 16
Find the start time.
Start time:____ P.M.
Elapsed time: 2 1/4 hr
End time: 4:44 P.M.
Answer:
2:29 PM
Step-by-step explanation:
Answer:
2:30
Step-by-step explanation:
I think sorry if I'm wrong
1)Find the angle of elevation of the sun from the ground when a tree that is
14ft tall casts a shadow 16ft long. Round to the nearest degrees
Answer:
[tex]\theta=41.18^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}[/tex]
So, the required angle of elevation of the sun is equal to [tex]41.18^{\circ}[/tex].
The net below can be folded to form a square pyramid atop a cube. The net consists of 5 congruent squares and 4 congruent triangles.
A net of a square pyramid on top of a cube. The cube has side lengths of 4 centimeters. The pyramid has triangular sides with a height of 5 centimeters.
What is the surface area of the composite solid that can be formed by this net?
80 cm2
120 cm2
144 cm2
160 cm2 I know the answer its 144 but i want to know how to do it
Answer:
80cm2
Step-by-step explanation:
Answer: C 144 BABA
Step-by-step explanation:
Can someone help me? I’ll reward points + brainalist
Select the correct answer.
What is the simplified form of 3 squared 7 - 5 squared 7?
A. -2 squared 7
B. 2 squared 7
C. -14 squared
D. 15 squared 7
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Need the answer now!
Answer: -2√7
Step-by-step explanation:
The latest New York Times/CBS News Poll is based on telephone interviews conducted from Sept. 13 to Sept. 18 with 1664 adults around the United States. This poll has a margin of error (based on a 95% confidence) of /- 3%. Identify each of the following: a. Sample b. Parameter c. Statistic d. Population e. Confidence level f. Margin of error g. After the survey was completed it was found that the list of telephone numbers did not include several regions. It was also found that the areas omitted had a very large religious population and the results were biased. Is this a sampling or a non-sampling error
Answer:
a. Sample = 1664 adults
b. Parameter= % of poll based on telephone interview
c. Statistic = 66%
d. Population = American adult population
e. Confidence level= 95%
f. Margin of error = +/- 3%
g. Sampling Error
Step-by-step explanation:
The missing part of the question is
The quotation below describes an opinion poll conducted by CBS News and the New York Times. Oneof the questions asked was "Do you favor an amendment to the Constitution that would permitorganized prayer in public schools?" Sixty-six percent answered, "Yes."
a. Sample = 1664 adults
The number included in the sample
b. Parameter= % of poll based on telephone interviews
The sample chosen on the bases
c. Statistic = 66%
The statistic obtained after applying the formula etc.
d. Population = American adult population
The sample is chosen from the population
e. Confidence level= 95%
f. Margin of error = +/- 3%
g. Sampling Error
It is a sampling error because the areas omitted had a very large religious population and the results were biased.
The sample was not chosen from the areas omitted.
The 1st flat-bar, or cross, or other operator means:
-9-(-7)
-9-(-7)
-9--7
-9+7
7-9
-2
---
hope it helps
PLEASE HELP ME!!!!!:)))
20. Find the length of BC in the figure below.
Answer:
Step-by-step explanation:
I'll let you solve it, but I will tell you how to
Ever heard of Thales theorem? If you haven't, here's what it is:
If a line parallel to one of the bases of a triangle is drawn, then the new triangle formed and the original triangle are similar
Why? They are similar because of AA (two equal angles):
∠AEB = ∠ADC since EB and DC are parallel (on a transversal they are corresponding angles which are congruent)
∠ABE = ∠ACD since EB and DC are parallel (on a transversal they are corresponding angles which are congruent)
Now this is enough information to determine that they are similar, but just for good measure, ∠A is common to both triangles so:
∠A = ∠A because of reflexive property
Now that we know they are similar, corresponding parts of similar triangles are similar
Create a ratio and solve is by cross-multiplying
Let me know if you have any questions! Hope this helps! Have a nice day/night :)
The length of BC in the figure below of triangle is 24.
We can use the Pythagorean Theorem to solve for the length of BC. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is BC, and the other two sides are AB and AC.
[tex]AB^2[/tex] + [tex]AC^2[/tex] = [tex]BC^2[/tex]
We are given that AB = 16 and AC = 12. Plugging these values into the equation, we get:
[tex]16^2[/tex] + [tex]12^2[/tex] = [tex]BC^2[/tex]
256 + 144 = [tex]BC^2[/tex]
400 = [tex]BC^2[/tex]
BC = 20
Therefore, the length of BC is 20.
Here are the steps in detail:
Identify the right triangle in the figure.
Label the sides of the triangle with the letters A, B, and C, where C is the hypotenuse.
Substitute the known side lengths into the Pythagorean Theorem.
Solve for the length of BC.
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A seller has a house that is 1800 square feet. The neighborhood comps show
the line of best fit to be y = 0.074x +50 48. What is a fair price for this house?
A. $150,000
B. $183.68
C. $150.00
D. $184,000
SUBMIT
A fair price for the seller's 1800 square foot house is $183.68 thousand, option B is correct
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given linear equation represents a relationship between the square footage (x) and the price (y) of houses in the neighborhood.
We can use this equation to estimate the fair price for the seller's house by plugging in the square footage (x) of the house and solving for y:
y = 0.074x + 50
y = 0.074(1800) + 50
y = 133.2 + 50
y = 183.68
Hence, a fair price for the seller's 1800 square foot house is $183.68 thousand, option B is correct
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a² + b² = c²
a = x
b = x
c = 9√2
please help me find the value of x, asap!
Answer:
x = 9
Step-by-step explanation:
According to Pythagoras theorem a² + b² = c²
Given that
a = x
b = x
c = 9√2
Substitute'
x² + x² = (9√2)²
2x² = 81 * 2
x² = 81
x = √81
x = 9
Hence the value of x is 9
In the balcony of an auditorium, there are 20 seats in the first row, 22 seats in the second row and 24 seats in the third row. Assuming this pattern continues, write the explicit form of a sequence describing the number of seats in each row.
Answer:
is two more than the row before
Step-by-step explanation:
i hope i help\
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Answer:
180 minutes to cook 9lb turkey.
Step-by-step explanation:
Let the time taken to cook a 9lb turkey be x.
Using proportions,
6/120 = 9/x
6x = 120 x 9
6x = 1080
x = 1080/6
x = 180
Question
If a 6 lb turkey takes 120 minutes to cook, how long would a 9 lb. Turkey take to cook?
Solution
time taken by 6 lb. Turkey to cook = 120 minutes
time taken by 1 lb. Turkey to cook = (120/6 = 20) minutes
time taken by 9 lb. Turkey to cook = ( 20×9= 180 ) minutes
QUICK does anyone know this? if so please answer i need to turn this in asap!
Answer:
10, 8, -5. Pls tell me if wrong i will retry. Im doing this mentally to be fast.
Step-by-step explanation:
A. 12 - |1 + -3 | = 12 - 2 = 10
B. 6 - -2 = 8
C. 18 -3/-3 = 15/-3 = -5
Answer:
14,8,-5
Step-by-step explanation:
1. 12-{1+(-3)}
12-{1(-3)} 1-3=-2
12-(-2) -×-=+
12+2
14
2. 6-{1+(-3)}
6-(1-3)
6-(-2)
6+2
8
3. 3×6+(-3)
________
-3
18-3
______
-3
15
_____
-3
=-5
In ΔRST, the measure of ∠T=90°, RS = 4.9 feet, and ST = 2.7 feet. Find the measure of ∠S to the nearest tenth of a degree.
Step-by-step explanation:
step 1. a diagram is important and can be uploaded. you will get a quicker answer with a diagram
step 2. triangle RST is a right triangle so we can use trigonometry to find <S
step 3. the adjacent side of <S is ST and the hypotenuse is RS so we will use cos
step 4. cosS = adj/hyp = ST/RS = 2.7/4.9
step 5. <S = 56.6° using inverse cos.
Answer:
42.43
Step-by-step explanation:
This is because you had to divbide by 3
Write a polynomial function of least degree that has real coefficients, the following zeros: 1,5,3+i and a leading coefficient of 1
Answer:
no te entiendo
yo también la busco
There are 28 students in a class. Sixteen of those students are boys. What percent of the class are girls? (Round to the nearest tenth)
Answer:
42.9% are girls
Step-by-step explanation:
A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.34 per square foot, the material for the sides costs $0.05 per square foot, and the material for the top costs $0.16 per square foot, determine the dimensions of the box that can be constructed at minimum cost.
Answer:
The dimensions of the box so that total costs are minimum are a side length of 2 feet and a height of 5 feet.
Step-by-step explanation:
Geometrically speaking, the volume of the rectangular box ([tex]V[/tex]), in cubic feet, is represented by this formula:
[tex]V = l^{2}\cdot h[/tex] (1)
Where:
[tex]l[/tex] - Side length of the box, in feet.
[tex]h[/tex] - Height of the box, in feet.
In addition, the total cost of the box ([tex]C[/tex]), in monetary units, is defined by this formula:
[tex]C = (c_{b}+c_{t})\cdot l^{2} + 4\cdot c_{s}\cdot l\cdot h[/tex] (2)
Where:
[tex]c_{b}[/tex] - Unit cost of the base of the box, in monetary units per square foot.
[tex]c_{t}[/tex] - Unit cost of the top of the box, in monetary units per square foot.
[tex]c_{s}[/tex] - Unit cost of the side of the box, in monetary units per square foot.
By (1), we clear [tex]h[/tex] into the expression:
[tex]h = \frac{V}{l^{2}}[/tex]
And we expand (2) and simplify the resulting expression:
[tex]C = (c_{b}+c_{t})\cdot l^{2}+4\cdot c_{s}\cdot \left(\frac{V}{l} \right)[/tex] (3)
If we know that [tex]c_{b} = 0.34\,\frac{m.u.}{ft^{2}}[/tex], [tex]c_{s} = 0.05\,\frac{m.u.}{ft^{2}}[/tex], [tex]c_{t} = 0.16\,\frac{m.u.}{ft^{2}}[/tex] and [tex]V = 40\,ft^{3}[/tex], then we have the resulting expression and find the critical values associated with the side length of the base:
[tex]C = 0.5\cdot l^{2} + \frac{8}{l}[/tex]
The first and second derivatives of this expression are, respectively:
[tex]C' = l -\frac{8}{l^{2}}[/tex] (4)
[tex]C'' = 1 + \frac{16}{l^{3}}[/tex] (5)
After equalizing (4) to zero, we solve for [tex]l[/tex]: (First Derivative Test)
[tex]l-\frac{8}{l^{2}} = 0[/tex]
[tex]l^{3}-8 = 0[/tex]
[tex]l = 2\,ft[/tex]
Then, we evaluate (5) at the value calculated above: (Second Derivative Test)
[tex]C'' = 3[/tex]
Which means that critical value is associated with minimum possible total costs. By (1) we have the height of the box:
[tex]h = 5\,ft[/tex]
The dimensions of the box so that total costs are minimum are a side length of 2 feet and a height of 5 feet.
Is 12/8 less than, equal to, or greater than 11/6?
Answer:
it's less than
Step-by-step explanation:
12/8 simplified is 3/2
11/6 cannot be further simplified
3/2<11/6
A company sells an insurance policy against losses incurred during travel for $15. 40,000 customers buy the insurance policy. The policy pays the full amount claimed up till $5,000. Most policy holders claim nothing, the rest either $500 or $5,000. Each customer has the following probabilities of claiming a certain amount for damages, independent of the other customers.
Claim $0 $500 $5,000
Probability 99% 0.8% 0.2%
Estimate the probability that the company makes a positive net profit across the 40,000 contracts.
Which expression is equivalent to (6c+9)(6c-9)?
36c2-81
36c2 + 54c-81
o 12c
36c² +81
D Question 2
What’s the answer???
Answer:
36c2-81
Step-by-step explanation:
It's a difference of squares so you Florida it (FL) do first and last to get 36c2-81
(-3, 3), (1, 1), (0 -2), (1, -4), (5, -1) domain and range
is it a function plz help i aint no good at math
Answer:
not it is not aa function
Step-by-step explanation:
Each year a certain type of tree grows vertically 14/15 as much as it did the year before. If the tree grows 1.5m during the first year, how much growth will it have in 20 years?
https://answers.yahoo.com/question/index?qid=20180411132938AApZYZz
The required growth of the tree after 20 years is 3, 813 meters.Here,
Given that,
Each year a certain type of tree grows vertically 14/15 as much as it did the year before. If the tree grows 1.5m during the first year.
To determine how much growth will it have in 20 years.
The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
The tree grows vertically 14/15 as much as it did the year before.
= 1.5 * 14 / 15
= 1.5 * 0.94
= 1.41
Total growth after 1 year = 1.5 + 1.41
= 2.91
Percentage growth = 1.41 / 2.91 = 0.48%
Now,
Growth after 20 years,
= 1.5 (1 + 0.48)^20
= 1.5(1.48)^20
= 3,813.51
Thus, the required growth of the tree after 20 years is 3, 813 meters.
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(2x-3)/4 + (2x-5)/6= 1/2
Answer:
Step-by-step explanation:
making all terms have a common denominator of 12
(3(2x-3)+2(2x-5))/12=6(1)/12 now the 12s cancel out
3(2x-3)+2(2x-5)=6
6x-9+4x-10=6
10x-19=6
10x=25
x=2.5
The capacities of 3 buckets are in the ratio 3:2:4. If the total capacity of the 3 buckets is 36 liters, find the capacity of the smallest bucket?
Answer:
8 liters
Step-by-step explanation:
3x+2x+4x=9x
36/9=x
x=4
2x= smallest bucket= 8
Penzance, Edinburg and Aberdeen all lie in a straight line.
The distance from Penzance to Aberdeen is 660 miles.
The distance from Penzance to Edenburg is 542 miles.
Work out the distance from Edinburgh to Aberdeen.
Answer: 505
Step-by-step explanation:
I searched it up