Answer:
[tex]\sqrt[4]{e};\frac1{4e}[/tex]
Step-by-step explanation:
The first derivative of [tex]f(x)[/tex] will give, for each x, the slope of the tangent at that specific x. Let's calculate the derivative, applying the quotient rule.
[tex]D(\frac AB) = \frac{A'B-AB'}{B^2}\\f'(x)= \frac1{x^8}[(\frac1x)x^4-(lnx)(4x^3)]=\frac1{x^8}[x^3(1-4lnx)]=\frac{1-4lnx}{x^5}[/tex]
Now, to find the point with an horizontal tangent (called "stationary points"), we set the first derivative equal to 0. Considering that we're working with [tex]x > 0[/tex] we deal only with the numerator.
[tex]1-4lnx = 0 \rightarrow lnx= \frac14\\x=e^\frac14 =\sqrt[4]{e}[/tex]
At this point we Replace the value we found in the equation to find it's y coordinate
[tex]f(\sqrt[4]e) = \frac{ln\sqrt[4]e}{\sqrt[4]e^4}= \frac{\frac14}{e} = \frac1{4e}[/tex]
Express the cubed root of a cubed root of the cubed root of 2 with a rational index.
Answer:
[tex]2^{\frac{1}{27} }[/tex]
Step-by-step explanation:
→ Write in number format
∛∛∛2
→ Rewrite
[tex]2^{\frac{1}{3} } *2^{\frac{1}{3} } *2^{\frac{1}{3} }[/tex]
→ Simplify
[tex]2^{\frac{1}{27} }[/tex]
Answer:
2^(1/27).
Step-by-step explanation:
That would be [(2)^1/3)^1/3]^1/3
= 2^1/3*1/3*1/3)
= 2^(1/27)
Find m∠O given m∠R = 46°.
Answer:
m∠O=67
Step-by-step explanation:
m∠O=180-m∠R-the other angle since it is not given we can assume that the other angle is the same as m∠O so you divide 134 by 2 to get 67 therefore m∠O=67
Sonia uses a 20% off coupon when she order from Uber eats original price of the order is $50 how much money does Sonya save
Answer:
she saves $40
Step-by-step explanation:
first of all, you find 20% of $50, that is,
(20/100) * $50
then you get: $10
next step is to subtract this answer from the $50, that is: $50 - $10 = $40
have a great day!!
We get the amount of price removed as a result of free coupon as below:
[tex] \frac{20}{100 } \times 50 = \frac{1000}{100} = 10 \\ coupon = 10dollars[/tex]
Therefore, Sonya saved $10
Write an exponential function Y=ab^x for a graph that includes (-1.0,6) and (1, 15).
Answer: perimeter: 40.79
Area: 84
Step-by-step explanation:
perimeter: (√3² + 6²) + (√1² + 6²) + 7 + 6 + 6 + 9 = 40.79
area: ((9 + 6) x 6) / 2 + ((6 + 7) x 6) / 2) = 45 + 39 = 84
help me with the dementions of this triangle
Answer:
20
Step-by-step explanation:
I'm not too sure why 22 is there. Triangle = (bh) / 2
90 x 2 = 180. 180 / 9 = 20, therefore, base is 20.
Answer:
First, we must know the formula for the area of a triangle.
A = BH x 1/2
Where 'b' represents the base, and 'h' represents the height.
Multiplying by 1/2 basically means dividing the result of (base x height) by 2.
Now we plug in what we know, given the dimensions shown.
We know that the area is 90 square units.
We also know that the height is 9, so;
A = BH x 1/2
90 = B(9) x 1/2
Solve for B:-
90 = 9b(we reverse b9 because they both serve as the same thing) x 1/2
90 = 9b x 1/2
Dividing by 1/2 also means multiplying by 2, so we multiply 2 to both sides to get rid of 1/2;
*2 *2
180 = 9b
To isolate b(base) we divide by 9 from both sides because the inverse operation of multiplication is division.
÷ 9 ÷ 9
20 = b, our base is 20 square units.
She says that the coffee cup fountain actually holds about 400 gallons of coffee.
The newscaster claims that if the coffee fountain really broke, the 400 gallons of coffee would cover the
equivalent of half a city block.
You look up some information.
• One gallon of water covers about 13.8 square feet.
• Near the mall, an average city block is about 300 feet by 300 feet.
Assume the fountain holds 400 gallons of coffee. Using the information given, determine whether the
newscaster's claim is correct.
• Construct an argument that supports or refutes the newscaster's claim.
Include mathematics to support your argument.
https://www.perfection-events.com/content/back-basics-coffee-essentials
Since the area 400 gallons will cover, 5520 square feet is less than the area of half a city block which is 45000 square feet, the Newscasters claim is wrong.
What is the area of the city block?The area of the city block is calculated from the product of the dimensions provided:
The city block is in form of a square, hence it's area = side × side
Dimension of city block = 300 feet by 300 feet.
Area of city block = 90000 square feet
Half of area of city block = 45000 square feet
1 gallon covers 13.8 square feet
400 gallons will cover = 400 × 13.8 = 5520 square feet
The area 400 gallons of coffee will cover is less than 45000 square feet.
Therefore, the news caster's claim is wrong.
Learn more about area at: https://brainly.com/question/3948796
what number is 0.1 more than 149.99
Answer:
150.09
Step-by-step explanation:
0.1 = 1/10 + 149.99= 150. the leftover of 0.09 then is finally added to 150 which then you get 150.09
Please mark brainliest!
Answer:
The answer should be 150.09
Step-by-step explanation:
Adding one tenth to 149.9 will equal 150. The remaining 0.09 will be added to 150 and the final answer is 150.09
Hope This Helps
Have A Great Day
~Zero~
PLEASE HELP ME! AFCVGBHNJMK
The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?
Answer:
9 and 18
Step-by-step explanation:
let the numbers be x and 2x
so that x+2x=27
3x=27
x=9
so the numbers are 9 and 18.
I hope this will help
Answer:
9 and 18[tex] \\ [/tex]
Step-by-step explanation:
It is given that, the sum of two numbers is 27 and one of the number is 2 times as large as the other.
[tex] \\ [/tex]
Let us assume the one number as x and as state in the question, one of the number is 2 times as large as the other (x) . So, the other number will be 2x .
[tex] \\ [/tex]
Now,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x + 2x = 27 \:}}} \\ \\[/tex]
Adding like terms we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3x = 27 \:}}} \\ \\[/tex]
Dividing both sides by 3 we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad \frac{3x}{3} = \frac{27}{3} \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad {x} = {9} \:}}} \\ \\[/tex]
So,
One of the number is 9.[tex] \\ [/tex]
Now,
[tex] \\ {\longrightarrow \pmb{\frak {\qquad Other \: number = 2x \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 2(9) \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Other \: number = 18 \:}}} \\ \\[/tex]
Therefore,
The two numbers are 9 and 18.Pls help me!!! I need to find what b is??
Answer:
[tex]\frac{10 \sqrt{3} }{3} = b[/tex]
Step-by-step explanation:
Hi there!
We are given a right triangle (notice the right angle), one angle with a measure of 30° and another with 60°
We are also given that one of the legs (one of the sides that makes up the right angle) is 5
We want to find what b is
This triangle is a special right triangle, a 30-60-90 triangle
In a 30-60-90 triangle, if the hypotenuse (the side opposite from the right angle) is b, the leg that is opposite from the 30° angle is [tex]\frac{b}{2}[/tex], while the leg that is opposite from the angle that is 60° is [tex]\frac{b\sqrt{3} }{2}[/tex]
In this case, we're given that the side opposite from the 60 degree angle is 5, meaning that 5 is equal to [tex]\frac{b\sqrt{3} }{2}[/tex]
So we can set 5 equal to [tex]\frac{b\sqrt{3} }{2}[/tex], to solve for b:
5=[tex]\frac{a\sqrt{3} }{2}[/tex]
Multiply both sides by 2
5*2=b√3
10=b√3
Now divide both sides by √3
[tex]\frac{10}{\sqrt{3} } =b[/tex]
rationalize the denominator
[tex]\frac{10 * \sqrt{3} }{\sqrt{3} *\sqrt{3} }[/tex] = b
[tex]\frac{10 \sqrt{3} }{\sqrt{9}}[/tex]= b
[tex]\frac{10 \sqrt{3} }{3} = b[/tex]
The answer can be left as that.
Hope this helps!
(b) The volume of water in a container is
directly proportional to the cube of its depth.
When the depth is 12 cm, the volume is 576 cm3.
Calculate
(i) the volume when the m is 1300 cm?. [2]
Answer:
See below.....Something is wrong with your question
Step-by-step explanation:
v = k d^3 or k = v/d^3 = 576/12^3 = 1/3
when depth (??? m??) is 1300 :
1/3 = v / (1300^3) = 732 333 333 .3 cm^3
The nth term of a sequence is n2 + 5 (a) (i) Find the first two terms of this sequence. (ii) Is 126 a term of this sequence? You must show how you get your answer
Answer:
126 is a term in the sequence. Please check my assumption on the correct formula.
Step-by-step explanation:
I will assume that n2 + 5 is actually n^2 + 5.
Starting with n=0, use the formula to calculate successive values of n. The attached table is the result of n from 0 to 22. At n=11, the result is 126, so 126 is a term in the sequence.
If the expression is actually n2 + 5, calculate the values for y = 2n + 5. 126 would not be a term in this sequence.
Geet sells televisions. he earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. if geet sells 12 televisions with extended warranties, he earns $1,080. how much is the fixed amount geet earns for each television?
well, he got 1080, that's for 12 TVs each one with a warranty, let's take out the warranty commission, so each one is 20 bucks so for 12 that'd be 12*20 = 240, so 1080 - 240 = 840 is left.
so the fixed income for all 12 TVs is 840 bucks, how much per each one? well, 840 ÷ 12 = 70.
Lucid can walk about 3 4/5 miles each hour. about how far can she walk in 2 hours and 45 minutes
Answer:
9.31
Step-by-step explanation:
Distance = 3 ⅘ x 2.45
3 ⅘ = 3.8
3.8 x 2.45 = 9.31
Damian owns a small business selling bagels. he knows that in the last week 40 customers paid cash, 66 customers used a debit card, and 18 customers used a credit card.
if next week, he is expecting 300 customers, about how many would you expect to pay with cash? round your answer to the nearest whole number.
Elena drives for 3 hours at 44mph claire drives 144miles in 4 hours how far would elena travel if she drove for 3hours at the same speed as claire?
Answer:
108 miles
Step-by-step explanation:
144m/4h = 36m/1h or 36mph
36mph · 3 = 108m
Tom had 90 cookies and sold 60% of them.scott had 150 cookies and sold 2/3 of them.dawn sold 46 cookies.what percentage of the cookies sold were sold by dawn?
Answer:
Step-by-step explanation:
Tom: 90 cookies total 60% were sold
Tom: 90 * 60/100 = 54 cookies
Scott: 150 cookies and 2/3 were sold
Scott: 150 * 2/3 = 300/3 = 100
Dawn: sold 46 cookies
Total Sold = 46 + 100 + 54
Total Sold = 200
Answer
Dawn: % = (46 / 200) * 100 = 23%
So what are the chances of getting a 100% effort out of someone who never tries than someone who does??
Answer:
someone who doesn't try would have a lower chance of 100% effort and someone who dose try would have a much higher chance of 100% effort
Step-by-step explanation:
i hope this helps!!
can someone help me please. I’ll give you ratings
Answer:
(c) -0.9682
Step-by-step explanation:
In quadrant II, the cosine is negative. Solving the given equation for the cosine gives ...
sin²(A) +cos²(A) = 1
cos²(A) = 1 -sin²(A)
cos(A) = -√(1 -sin²(A)) = -√(1 -(1/4)²) = -√(15/16) ≈ -0.9682
_____
The coordinates of a point on the unit circle are (cos(α), sin(α)). The attachment shows the point on the unit circle where sin(A)=1/4 in quadrant II. The x-coordinate is the cosine of the angle, about -0.97.
3. How many 3 digit all even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated?
Step-by-step explanation:
Only 3 numbers are possible at units place (2, 4 & 6) as we need even number.
But at tens & hundreds place all 6 are possible
Number of 3 digit even numbers
= 3x6x6 = 108
36
Step-by-step explanation:[tex]Solution:[/tex]
[tex]6\times6=36[/tex]
[tex]such\ as:[/tex]
[tex]11\ \ \ 22\ \ \ 33\ \ \ 44\ \ \ 55\ \ \ 66\\ 12\ \ \ 21\ \ \ 31\ \ \ 41\ \ \ 51\ \ \ 61\\ 13\ \ \ 23\ \ \ 32\ \ \ 42\ \ \ 52\ \ \ 62\\ 14\ \ \ 24\ \ \ 34\ \ \ 43\ \ \ 53\ \ \ 63\\ 15\ \ \ 25\ \ \ 35\ \ \ 45\ \ \ 54\ \ \ 64\\ 16+263646+56\\ 6+6+6+6+6+6\\ =36.[/tex]
I hope this helps you
:)
Tim wants to buy soda. He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle. Which statement is true?
A. The 6-pack contains 0.130 liters more soda.
B. The 2-liter bottle contains 0.130 liters more soda.
C. The 2-liter bottle contains 0.645 liters more soda.
D.The 6-pack contains 0.645 liters more soda.
The true statement is that the 6-pack contains 0.130 litres more soda.
He can choose a 6-pack of 0.355-liter cans or a 2-liter bottle.
6 pack of 0.355-liter cans. Therefore, let's establish the following proportion.
Proportional relationship1 pack = 0.355 litre can
6 pack = ?
cross multiply
volume of soda = 6 × 0.355 = 2.13 litres
The 6-pack of 0.355-liter cans contains 2.13 litres of soda.
difference = 2.13 - 2.00 = 0.13 litres
Therefore, the 6-pack contains 0.130 litres more soda
learn more on volume here: https://brainly.com/question/20887167
Please Help!!
Cherry Hill Orchards produced 500 tons of cherries during their first year of business, 2012. Since then, the cherry harvest continues to increase in production by 5. 7% over the previous year.
Write an exponential function, f(x), that models the tons of cherries produced by Cherry Hill Orchards x years after 2012.
Enter your answer by filling in the boxes.
f(x)= -------- * ( )^x
Answer:
[tex]f(x)=500*(.057)^x[/tex]
Step-by-step explanation:
In a basketball game, you made 4 baskets out of 12 attempts. Your teammate made 3 baskets out of 8 attemps
Answer:
4/12 and 3/8
Step-by-step explanation:
The points 4,0 and 7,6 lie on a particular line, what is its equation in slope - intercept form?
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{6}{3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{2}(x-\stackrel{x_1}{4})\implies y = 2x-8[/tex]
Jim rented a truck for one day. there was a base fee for $19.95 and there was an additional charge of 91 cents for each mile driven. Jim had to pay $243.81 when he returned the truck. For how many miles did he drive the truck?
Answer:
Jim travelled 246 Miles.
Step-by-step explanation:
ab that goes through points (0,14)
Write an
exponential function in the form y
and (3,4802).
Answer:
y=ax, y»a
Step-by-step explanation:
that means that gradually the lines going up instead of going down and the step by step function will give you two set of points in the graph that will be your your center point
Describe these points with a double inequality
Answer:
please make brainiest
Which is the solution to the inequality?
28
8
15
15
Obc2 1/5
O b>21
o b<373
O b>3
b>
Answer:
b > 3 2/15
Step-by-step explanation:
2 3/5+ 8/15<b
9+8
2-----------=2 17/15
15
=2+ 1 2/15
=3 2/15 <b
b> 3 2/15
Answer:
b > 3 2/15
Step-by-step explanation:
2 3/5 < b - 8/15
Convert the number
2 × 5 + 3/5 < b - 8/15
10 + 3/5 < b - 8/15
13/5 < b - 8/15
Rearrange the terms
-b < -8/15 - 13/5
Transform the expression
-b < -8 - 39/15
Calculate
-b < -47/15
Divide both sides
b > -47/15 = b > 3 2/15
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Ello can you solve #14 ty
Answer:
(x, y, z) ≈ (30.375, 12.369, 13.915)
Step-by-step explanation:
You can make use of the fact that all of these right triangles are similar. That mean the ratio of the hypotenuse to the long side is the same for each of them.
27/24 = x/27
x = 27²/24 = 30.375 . . . . . . multiply by 27
__
Likewise, the ratio of short side to long side is the same for each:
y/24 = (30.375 -24)/y
y² = 24(6.375)
y = √153 ≈ 12.369
__
And the ratio of short side to hypotenuse is the same:
z/30.375 = 6.375/z
z² = 30.375×6.375 = 193.640625
z = √193.640625 ≈ 13.915
Given the box plots below, what is the median of group B? Comparing Box Plots Worksheet Question 8 options: 50 min 65 min 40 min 5 min
Answer:
40
Step-by-step explanation:
I answered by simply looking at the equation
A tank having length, breadth and height 10 m, 9 m and 8 m respectively. How much petrol does it hold? Ans: 720000 liter
720000 liter
Step-by-step explanation:[tex]Known:\ a=10\ m,b=9\ m,h=8\ m.[/tex]
[tex]Because:\ V=abh\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (Volume\ caculation\ formula)[/tex]
[tex]Thus:\ V=10\times9\times8=720\ m^3[/tex]
[tex]Because\ 1\ m^3=1000\ L\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (unit\ conversion)[/tex]
[tex]Thus\ 720\ m^3=720000\ L[/tex]
I hope this helps you
:)