Solution :
Given : [tex]$T(x)=7-9(x-2)^2-3(x-2)^3$[/tex]
a). f(2) = T(2) = 7
[tex]$\frac{f""(2)}{2!} =-9$[/tex] , so f''(2) = [tex]$-18$[/tex]
b). Yes, since f'(2) = T'(2) [tex]$=$[/tex] 0, [tex]$f$[/tex] does have the critical point at [tex]$x=2.$[/tex]
Since f''(2) = [tex]$-18$[/tex] < 0, [tex]$f(2)$[/tex] is relative maximum value.
c). [tex]$f(0)=T(0)=-5$[/tex]
It is also not possible for determining if [tex]$f$[/tex] has a critical point at x = 0 because [tex]$T(x)$[/tex] gives exact information only at [tex]$x=2.$[/tex]
d). The Lagrange [tex]$\text{error}$[/tex] bound [tex]$=\frac{6}{4!}|0-2|^4= 4$[/tex]
[tex]$f(0) \leq T(0)+4 = -1$[/tex]
Therefore, [tex]$f(0)$[/tex] is negative.
y=(2.5)^x graph and match function
Answer:
Step-by-step explanation:
An angle measures 52° more than the measure of its complementary angle. What is the measure of each angle?
anyone know the answers to 3, 4, 5 and six
i need help on these 2 questions
A coach ordered 20 practice jerseys for her soccer team. Six of the jerseys she ordered arrived late. What decimal represents the fraction of jerseys that arrived late?
Answer: 0.3
Step-by-step explanation:
There are 20 practice jerseys in total.
Six of those 20 jerseys arrived late.
The fraction of jerseys that arrived late is therefore:
= 6 / 20 jerseys
Convert them to decimal form by dividing the numerator with the denominator:
= 6 ÷ 20
= 0.3
8 ft
Find the area of the figure.
Answer:
Area of a rectangle is length multiplied by the width. In this case, length is equal to width. So, Area is 8 ft * 8 ft which is 64 ft2.
e. 15 = 1.5t t=? Solve please
Answer:
E Z
10
Step-by-step explanation:
15 = 1.5t
so t = 15/1.5
= 10
Answer: t = 10
1. Switch sides
- 1.5t = 15
2. Multiply both sides by 10
- 15t = 150
3. Divide both sides by 15
4. Simplify
t = 10
Verify the equation: (cos x + 1)/(sin^3 x) = (csc x)/(1 - cos x)
Answer:
dont know sorry
Step-by-step explanation:
-0.5f - 5 < -1
help please asap!!
Step-by-step explanation:
-.5f -5 < -1
-.5f < 4
f > -8
hope this helps
I need help plzzzzzz
Answer:
X is equal to 15
Step-by-step explanation:
Vertical angles are equal to each other so just make the two equal to each other and solve, If you need to find what each angle is just substitute x with 15
PLEASE HELP I DON'T UNDERSTAND!!!!!! I WILL MARK!!!!!!!!!!!!!!
What is the slide e of the line shown below?
Answer:
13/6
Step-by-step explanation:
slope = (y2-y1)/(x2-x1) where the variables indicate the coordinates of the two points
slope = (-7-6)/(-5-1) = -13/-6 = 13/6
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answer:
3 times greater
Step-by-step explanation:
6.7 x 10 to the 6 = 6700000
2x 10 to the 7 = 20000000
20000000/6700000 = 2.98507462687
Rounded - 3
According to exponent rules, when we multiply the same base we _____ the exponents
Answer:
Add
Step-by-step explanation:
When MULTIPLY exponents with same base, you Keep the base and + ADD the exponents.
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{{ \: add \: }}}}}}[/tex]
According to exponent rules, when we multiply the same base we Add the exponents.What is the midpoint of line segment QU given Q(6, 3) and P(-6, -1).
Answer: Use cylindrical coordinates. Evaluate z dv, where E is enclosed by ... A: Solution:Given∫c3y sinx dx+5xdyFormula:∫cPdx+Qdy=∬ ∂Q∂x-∂P∂y dA ... z) if the midpoint of the line segment joining the two points (x, y, z) and (-6, -5, -4). ... A: A cone is a 3-D shape with a circular base and tapers smoothly over to an
Step-by-step explanation:
The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competition. If they need the volume of the popcorn container to be under 220 cubic inches per serving, select all of the following dimensions of a cylinder they could use.
3 inch radius and 4 inch height
4 inch radius and 4 inch height
9 inch radius and 9 inch height
4 inch diameter and 9 inch height
6 inch diameter and 9 inch height
9 inch diameter and 4 inch height
Answer:A and b
Step-by-step explanation:
The dimensions of cylinders that have a volume under 220 cubic inches per serving are:
3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height
Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
We can use the formula V = πr²h to find the volume of each cylinder.
For a cylinder with a 3-inch radius and 4-inch height:
V = π(3)²(4) ≈ 113.1 cubic inches
For a cylinder with a 4-inch radius and 4-inch height:
V = π(4)²(4) ≈ 200.96 cubic inches
For a cylinder with a 9-inch radius and 9-inch height:
V = π(9)²(9) ≈ 2289.0 cubic inches
For a cylinder with a 4-inch diameter and 9-inch height (radius is 2 inches):
V = π(2)²(9) ≈ 113.04 cubic inches
For a cylinder with a 6-inch diameter and 9-inch height (radius is 3 inches):
V = π(3)²(9) ≈ 254.5 cubic inches
For a cylinder with a 9-inch diameter and 4-inch height (radius is 4.5 inches):
V = π(4.5)²(4) ≈ 254.5 cubic inches
Therefore, the dimensions of cylinders that have a volume under 220 cubic inches per serving are:
3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height
Learn more about Volume here:
https://brainly.com/question/1578538
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Hello!
What's Eri's teddys name?
Answer:
Werid I don’t know
Step-by-step explanation:
Two number cubes are rolled.
What is the probability that the first lands on an odd number and the second lands
on an even number?
Simplify your fraction.
O / 을
0 O
3
Answer:
cubes have 6 numbers
3 odd, 3 even
Step-by-step explanation:
probablity=desiredoutcome/totalpossibleoutcomes
there are 6 total desired outcomes (3 on each cube)
total possible, there are 6*6 or 36 total possible outcomes
so 6/36 or 1/6 chance
Solve the equation for a.
3a+13.61=−9.43
Answer: a = -7.68
STEPS:
- Subtract 13.61 from both sides
- Simplify
- Divide both sides by 3
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 7. Using the empirical rule, what percentage of males in the town have a systolic blood pressure between 98 and 112?
Answer:
Answer:
68%
Step-by-step explanation:
The percentage of males in the town who have systolic blood pressure between 98 and 112 is 68%.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 7.
68 percent of the data is within one standard deviation of the mean, i.e. between μ - σ and μ + σ.
μ - σ = 105 - 7 = 98
μ + σ = 105 + 7 = 112
More about the normal distribution link is given below.
https://brainly.com/question/12421652
What number is equal to (1/6)^4?
Answer:
1/5
Step-by-step explanation:
i searched it up yikessssssss
The value of the given term is 1296.
What is a fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given the number as [tex]\dfrac{1}{6} ^{-4}[/tex]
Here we can see that the power is negative so we can just reciprocal the term.
Then we get;
6^4
this means 6 x6x6x6 = 1296
The correct value is 1296.
Learn more about fraction;
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1. An exponential function is shown below.
f (x)= -2(2)
Which key attribute does the function not exhibit?
This question seems extremely odd to me. I don't really even understand what's being asked.
As far as exponential functions go, it's missing an exponent for one. The dependent variable is missing. This essentially saying f(x) = -4 or y = -4. Which is fine, but is definitely not an exponential function and in a very odd and incomplete form to begin with.
can someone please help me with this question?? (no links!!!)
Answer:
960
Step-by-step explanation:
it says use 3 for pi, so you plug the values into given equation
V = 3·(4)²·20
r is 4 because it is half of 8.
Then multiply
3·16·20 = 48·20 = 960
Answer:
960 cm
Step-by-step explanation:
8/2 = 4 (radius)
3 (since we're using 3 for pi) * 4^2 * 20
3 * 16 * 20
48 * 20
= 960 cm
I hope this helps heh :)
Find the value of x. Please help I will mark brainliest!!!!
Answer:
x = 2
Step-by-step explanation:
The triangle is reflected across the circle meaning it should be the same on both sides.
Please help I do not know the answer
Answer:
answer is y = 3/4x - 5
Step-by-step explanation:
picture below.
The 3/4 comes from the line. You would use rise over run to find the slope, which in this case is 3/4. and the -5 is basically the y-intercept
Cindy lost 28 pounds while on a diet. She now weighs 157 pounds. Write and solve an equation to find her initial weight
Answer:
The equation is 157+28=185.
157+ 28= 185
I think that’s right
if you made 180$ every week, how much would you have in a year, it's a simple one and it's not for school I make 40 dollars a day with my dad at work
Answer:
About $9360
Step-by-step explanation:
There's about 52 weeks in one year, so if you multiply 52 by your weekly gain, your annual income will be approximately $9360.
I hope this is helpful ^^
Does anyone know number 1 and 2 if so pls help!
Answer:
364×180=65,520 baskets
Step-by-step explanation:
since its a leap year(4days as shown in the document)
2nd question:
365×180=65,700 baskets
since its not a leap year
if u dont know leap years end with an even number which is 364 and non leap years end with odd number which is 365.
Define: stratified random sample a) population is divided into similar groups and a SRS is chosen from each group. b) gives each member of the population a known chance to be selected. c) people who choose themselves for a sample by responding to a general appeal. d) the explanatory variable(s) in an experiment. e) directly holding extraneous factors constant. f) every possible sample of a given size has the same chance to be selected. g) using extraneous factors to create similar groups. h) successively smaller groups are selected within the population in stages. i) choosing the individuals easiest to reach.
Answer:
d) population is divided into similar groups and a SRS is chosen from each group.
Step-by-step explanation:
Stratified random sampling
can be regarded as "proportional random sampling" and is method of sampling which entails division of a population to more simpler sub- groups, this sub- groups are regarded as " strata". This strata are been formed on the basis of shared attributes of the members. This attribute could be educational attainment as well as income. It should be noted that stratified random sample is population is divided into similar groups and a SRS is chosen from each group.
PLEASE HELP!!1!!1!!11!!1!! I WILL MARK BRAINLIEST!!!!!!!!!111!111!!1!!11!
Answer:
s
Step-by-step explanation:
Answer:
fourth option) 5/8 lb