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Question 1194172: The volume of water in a container V (cm^3) after t seconds is given by V = 20e^1/5 . Find in terms of e,
a) the value pf V when t = 5,
b) the rate of change of V when t = 5.
c) Hence obtain the percentage change in V when t changes from 5 to 5.1
Click here to see answer by Alan3354(69443)

Question 1194173: Differentiate the following with respect to x .
a) ln(5x+1)
b) ln(4x-3)^2
c) ln(8-x^3)
d) xln(5-2x)
e) ln[(x+1)(x-3)]
f) lm(sinx + cosx)
g) ln(1+e^x)
h) lnx/x
i) ln(√ x^2+1-x)
Click here to see answer by Alan3354(69443)

Question 1194170: The positive variables x and y are such that x^4 y = 32. A third variable z id defined by z = x^2 + y.
Find the values x and y that give z a stationary value and show that this value of z is a minimum.
Click here to see answer by htmentor(1343)

Question 1194171: Given that y = lm(x^2 - 4) for x > 2, find dy/dx. Hence, find, in terms of p , the approximate change in y when x increases from 3 to 3 + p , where p is small.
Click here to see answer by Boreal(15235)

Question 1194169: For each of the following expressions, calculate the value of x which gives y a stationary value.
Determining whether this value of y is a minimum or a maximum. Give your answers correct to 3 significant figures where necessary.
a) y = x^2 + (2x-1)^2
b) y = 2πx - (x-2)^2
Click here to see answer by Boreal(15235)

Question 1194303: if the dimensions are equal then the container is??
Click here to see answer by Alan3354(69443)

Question 1194393: If AS=x,KL=9,and RE=14,what is the value of x?

Click here to see answer by Alan3354(69443)

Question 1194393: If AS=x,KL=9,and RE=14,what is the value of x?

Click here to see answer by ikleyn(52776)

Question 1194420: Find the following: Q1, Q2, Q3, inter quartile range (IQR) and Q.D. of the following set of data using ungrouped:
19, 2, 16, 0, 14, 9, 6, 1, 12, 13, 10, 19, 7, 5, 8
Show full solution, thank you!
Click here to see answer by math_tutor2020(3816)

Question 1194418: An IQ test has a mean of 105 and a standard deviation of 20. Find the corresponding z-score for each IQ.
A.) 88
B.) 122
C.) 110
Show full solution, thank you!
Click here to see answer by math_tutor2020(3816)

Question 1194419: Which of the following exam grades has a better relative position?
a.) A grade of 43 on a algebra test with x̄=40 and s=3
b.) A grade of 75 on a geometry test with x̄=72 and s=5
Show full solution, thank you!
Click here to see answer by math_tutor2020(3816)

Question 1194487: Q:1- What is iota power 1/5 and iota power 2/7?
.
Q:2- Evaluate i^i? and i^5i [Here i means iota and ^ means power]
Click here to see answer by ikleyn(52776)

Question 1194526: In triangle ABC, with right angle B, side AB is 18 units long and side AC is 23 units long. What is the length of side BC, to the nearest unit?
5 units
14 units
29 units
41 units

Click here to see answer by MathLover1(20849)

Question 1194525: Elena wonders how much water it would take to fill her cup. She drops her pencil in her cup and notices that it just fits diagonally. The pencil is 17 cm long and the cup is 15 cm tall. How much water can the cup hold? Round your answer to the nearest cubic centimeter.

Click here to see answer by Alan3354(69443)

Question 1194515: 1a). A small block of mass 2kg is suspended by two strings of lengths 0.6m and 0.8m
from two points 1m apart on a horizontal beam. Find the tension in each string.
1b). A vehicle of mass 6 x 10³ kg moving with a velocity of 43kmh-¹ collides with a
stationary vehicle of mass 185 x 10³ kg and they stick together and move in the same
direction. They then came to rest after moving through a distance of 3m. Calculate the
magnitude of retardation.
Click here to see answer by ikleyn(52776)

Question 1194509: A contract valued at $ 81, 500.00 requires payment of $ 2, 430.00 at the end of every 3 months. If
interest is 6.5% compounded quarterly, calculate the term of this contract (round to years and months).
Click here to see answer by ikleyn(52776)

Question 1194536: A market researcher has partitioned all California residents into categories of unemployed, employed full time, and employed part time. She is surveying 50 people from each category. Which sampling type is this?
A.Systematic B.Random C. Cluste D. Stratified

Click here to see answer by ikleyn(52776)

Question 1194618: At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. How many possible choices can she make?
Select one:
a.
6

b.
15

c.
4

d.
2
Click here to see answer by MathLover1(20849)

Question 1194622: In a professional division of a Hockey league, there are 9 total teams. How many different rankings are possible at the end of the year? (Hint: there are no ties.)
Select one:
a.
40,320

b.
362,880

c.
3,628,750

d.
181,440
Click here to see answer by ikleyn(52776)

Question 1194639: The mean height of the 2018 Women's World Cup Basketball team is? answer in feet. ex 5 feet 9 inches

. The mode is ?

.
Sue Bird 5-9
Tina Charles 6-4
Layshia Clarendon 5-9
Elena Delle Donne 6-5
Brittney Griner 6-9
Jewell Loyd 5-11
Nnemkadi Ogwumike 6-2
Kelsey Plum 5-8
Breanna Stewart 6-4
Diana Taurasi 6-0
Morgan Tuck 6-2
A'ja Wilson 6-5
Click here to see answer by Alan3354(69443)

Question 1194641: Johnny was fishing Bass and caught these 5 fish.
Fish lengths: 4, 6, 7, 8, 10
The mean is 7.0, based on his catches he calculates an estimated Standard deviation, called the Sample Standard Deviation is

.
Remember to use "Bessel's Correction".
Click here to see answer by MathLover1(20849)

Question 1194696: A car drives south at 20 mi.per hr. Another car, starting from the same point
at the same time and traveling 400 mi. per hr goes east for 30 mins, then
turns North. Find the rate of rotation of the line joining the cars (a) 1 hr.
after the start; (b) at the time the second car makes its turn.
Click here to see answer by ikleyn(52776)

Question 1194697: From a car traveling east at 40 mi.per hr., an airplane traveling horizontally
north at 100 mi.per hr, is visible 1 mi. east, 2 mi. south and 2 mi. up.
Find when the two will be nearest together.
Click here to see answer by ikleyn(52776)

Question 1194695: Two railroad tracks intersect at right angles. At noon there is a train on each
track approaching the crossing at 40 mi.per hour., one being 100 mi., the
other 200 mi. distant. Find (a) when they will be nearest together, and
(b) what will be their minimum distance apart?
Click here to see answer by math_tutor2020(3816)

Question 1194688: flagpole A is 6 3/5 m high.Flagpole B is 3/4 the height of flagpole C, which is 1/4 higher than flagpole A. What is the height of flagpole B?
Click here to see answer by MathLover1(20849)

Question 1194769: Pls help me solve this :
The lengths of the sides of a triangle are consecutive even integers. Find the
length of the longest side if it is 14 units shorter than the perimeter.
Pls also include Proving. Thank you!!! :)
Click here to see answer by amarjeeth123(569)

Question 1194771: The top of a ladder 10 meters long rests on a vertical wall of a residential building while
the bottom rests on a horizontal ground. If the top slides down at the rate of 20 meters per
minute, how fast is the lower end moves along the ground when the lower end is 8 meters
from the wall?

Click here to see answer by ikleyn(52776)

Question 1194833: As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 30 milligrams of Medication A with 18 milligrams of Medication B. However this week, the doctor said to only use 12 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?

Click here to see answer by josgarithmetic(39616)

Question 1194654: A golfer hits his approach shot at an angle of 50° giving the ball an intial speed of 32.2 m/s. The ball lands on an elevated green,5.5 above the intial position near the surface,and stops immediately.
a) how much time passed while the ball was in air?
B) how far did the ball travel horizontally before landing?
c) what was the peak height reached by the ball?
Click here to see answer by Alan3354(69443)

Question 1194901: A test consists of 10 multiple choice questions with five choices for each question. As an experiment, you GUESS on each and every answer without even reading the questions. what is the probability of getting atleast 7 questions correct on this test.
Click here to see answer by Solver92311(821)

Question 1194929: Q:1- Construct two examples of topology T on finite set X having at least two elements such that that Topology T is also metric space.
.
Note: Elements of set X must be non negative integers.

Q:2- Can we have such linear independent vectors in R² or R³ which are not bases in R² or R³?

Q:3- Find g.c.d of 76 and 133 using euclidean algorithm?

Q:4- What is the main difference between Reimann Integration and Lebesgue Integration?
Click here to see answer by ikleyn(52776)

Question 1194883: Q: Construct two examples of the following:
(a) Regular Topological space which is neither To nor Normal.
(b) Normal Topological space which is neither To nor Regular.
(c) To Topological space which is neither Regular nor Normal.
(d) Topological space which is not To and also neither Regular nor Normal.
(e) Topological Space which is To, Regular and also Normal but not T¹.
(f) Regular To which is not Normal.
(g) Normal To which is not Regular.
(h) Regular as well as Normal but not To.
.
Note: Regular T¹ is T³ space or T³ Topological space and Normal T¹ is T⁴ space or T⁴ topological space.
In all examples the topological spaces should not be T¹.
.
Here we are using To space which means Kolmogorov Topological Space.
Click here to see answer by ikleyn(52776)

Question 1195145: The product of two rational numbers is − 78. If one of the numbers is 514, find the other
number
Click here to see answer by Alan3354(69443)

Question 1195147: There is a new popular game called 4-square. The game is played on a 16-foot square court which is divided into 4 smaller squares that intersect in the middle. If a line is drawn between the two outside corners, a right triangle is formed. Using a trigonometric function, find the length of the diagonal to the nearest tenth.
Click here to see answer by ikleyn(52776)

Question 1195146: Mount Rushmore is a famous landmark. A person visiting the site approximated the angle of elevation to the top of George Washington head to be 35º. After walking 250 feet closer, the angle of elevation had increased by about 15º. Approximate the length of the Mt Rushmore memorial to the top of George Washington head. Round the answer to the nearest foot.
Click here to see answer by ikleyn(52776)

Question 1194506: The buyer of a house will pay $7500 cash and $1000 at the end of each 3 months for 12 years. If money
is worth 9% compounded quarterly, find
(a) the cash value of the house;
(b) the remaining liability of the debtor just after he pays his 10th installment of $1000;
(c) his remaining liability just before he pays the 10th installment.
Click here to see answer by Theo(13342)

Question 1195258: Evaluate the following Inverse Trigonometric Function.
a. 𝑠𝑖𝑛^−1 (−1)
b. 𝑡𝑎𝑛^−1 (−1)
Click here to see answer by ikleyn(52776)

Question 1195257: Evaluate the following Inverse Trigonometric Function.
a. 𝑠𝑖𝑛−1 (−1)
b. 𝑡𝑎𝑛−1 (−1)
Click here to see answer by ikleyn(52776)

Question 1195257: Evaluate the following Inverse Trigonometric Function.
a. 𝑠𝑖𝑛−1 (−1)
b. 𝑡𝑎𝑛−1 (−1)
Click here to see answer by MathLover1(20849)

Question 1195310: https://vle.mathswatch.co.uk/images/questions/question14712.png
Click here to see answer by ikleyn(52776)

Question 1195310: https://vle.mathswatch.co.uk/images/questions/question14712.png
Click here to see answer by josgarithmetic(39616)

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