4. For the following functions, (i) determine all open intervals where f(x) is increasing, decreasing, concave up, and concave down, and (ii) find all local maxima, local minima, and inflection points. Give all answers exactly, not as numerical approximations. (a) f(x) = x 5 − 2x 3 for all x

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

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Evaluate a2 + b2 + c2 for a = -5, b = -2, and c = 3.
Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.Work out the total amount of money in the account at the end of 3 years.Give your answer to the nearest rupee.
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25 points!!!Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?|w| = 9.4; θ = 72.9°|w| = 9.4; θ = 107.1°|w| = 14.2; θ = 72.9°|w| = 14.2; θ = 107.1°

What the volume of the figure

Answers

Answer:

1,530

Step-by-step explanation:

box 1 (left one): 10*9*9=810

box 2 (right one): 18*4*10=720

720+810=1,530

Answer:

1530 cm^3

Step-by-step explanation:

They are two Rectangular Prism.

prism 1.

length l = 18 cm

width w = 10 cm

height h = 4 cm

diagonal d = 20.976177 cm

total surface area S_tot = 584 cm^2

lateral surface area S_lat = 224 cm^2

top surface area St_op = 180 cm2

bottom surface area S_bot = 180 cm^2

volume V = 720 cm^3

Prism 2.

length l = 10 cm

width w = 9 cm

height h = 9 cm

diagonal d = 16.1864141 cm

total surface area S_tot = 522 cm^2

lateral surface area S_lat = 342 cm^2

top surface area Stop = 90 cm^2

bottom surface area Sbot = 90 cm^2

volume V = 810 cm^3

Add 720 cm^3+810 cm^3 = 1530 cm^3

Agenda: l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Formula: Volume of Rectangular Prism: V = lwh

What is the value of x? *
4x + 32
172°
Your answer

Answers

Answer:

x=35

Step-by-step explanation:

Because the 2 lines are parallel u kno 172=4x+32

from there: 172-32=4x or 140=4x, and then 140/4=x

Final answer:

To solve for 'x' in the equation 4x + 32 = 172, we isolate 'x' by first subtracting 32 from both sides of the equation. This gives us 4x = 140. Then, solving for 'x', we divide both sides by 4, resulting in 'x' equal to 35.

Explanation:

To find the value of x, we need to use the process of algebraic simplification. In the equation provided, isolate x by subtracting 32 from both sides of the equation:

4x + 32 = 172

4x = 172 - 32

4x = 140

Next, solve for x by dividing both sides of the equation by 4:

x = 140 / 4

x = 35

Therefore, the value of x in the equation is 35.

Learn more about Algebra here:

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What is the greatest common factor of 12 and 90?

Answers

The first step to find the gcf of 12 and 90 is to list the factors of each number. The factors of 12 are 1, 2, 3, 4, 6 and 12. The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90. So the greatest common factor is 90 Buddy.

each day a bobcat drinks about 3 times as much water as a canada goose drinks. how much water can a bobcat drink in ① day?

Answers

56 gallons
I think..
Hope this will be helpful for you

the formula for this is b= bobcat and g=goose so if the bobcat is three times as much as the goose then b=3g now if you know b or g you can fill it in to find the other.

In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.02 margin of error and use a confidence level of 99%. Complete parts (a) through (c) below.a. Assume that nothing is known about the percentage to be estimated.n = ________b. Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.n = _______c. Does the added knowledge in part (b) have much of an effect on the sample size?

Answers

Answer:

(a) The sample size required is 2401.

(b) The sample size required is 2377.

Step-by-step explanation:

The confidence interval for population proportion p is:

$CI=\hat p\pm z_(\alpha/2)\sqrt{(\hatp(1-\hat p))/(n)}$

The margin of error in this interval is:

$MOE=z_(\alpha/2)\sqrt{(\hatp(1-\hat p))/(n)}$

The information provided is:

MOE = 0.02

$z_(\alpha/2)=z_(0.05/2)=z_(0.025)=1.96$

(a)

Assume that the proportion value is 0.50.

Compute the value of n as follows:

$MOE=z_(\alpha/2)\sqrt{(\hat p(1-\hat p))/(n)}\n0.02=1.96* \sqrt{(0.50(1-0.50))/(n)}\nn=(1.96^(2)*0.50(1-0.50))/(0.02^(2))\n=2401$

Thus, the sample size required is 2401.

(b)

Given that the proportion value is 0.55.

Compute the value of n as follows:

$MOE=z_(\alpha/2)\sqrt{(\hat p(1-\hat p))/(n)}\n0.02=1.96* \sqrt{(0.55(1-0.55))/(n)}\nn=(1.96^(2)*0.55(1-0.55))/(0.02^(2))\n=2376.99\n\approx2377$

Thus, the sample size required is 2377.

(c)

On increasing the proportion value the sample size decreased.

Below, the two-way table is given for a class of students. Freshmon Sophomora fontores Seniors Male 4 6 2 2 Female 3 4 6 б 3 Total If a student is selected at random, find the probability the student is a junior. Round to the nearest whole percent.