Answer:
[tex]\sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})[/tex]
[tex]\sf 2(3\sqrt{8})+2(4\sqrt{20}+2\sqrt{24})[/tex]
[tex]\sf 12 \sqrt{2}+16 \sqrt{5}+8 \sqrt{6}[/tex]
[tex]\sf 6 \cdot 8^{\frac{1}{2}}+8 \cdot 20^{\frac{1}{2}}+4 \cdot 24^{\frac{1}{2}}[/tex]
[tex]\sf 12 \cdot 2^{\frac{1}{2}}+16 \cdot 5^{\frac{1}{2}}+8 \cdot 6^{\frac{1}{2}}[/tex]
Step-by-step explanation:
Perimeter of a rectangle
Perimeter = 2(width + length)
Given information:
[tex]\textsf{width} = 3\sqrt{8}[/tex]
[tex]\textsf{length} = 4\sqrt{20}+2\sqrt{24}[/tex]
Equivalent Expression 1
Substitute the given information into the formula:
[tex]\sf Perimeter = 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})[/tex]
Equivalent Expression 2
Using the distributive property law, this can also be written as:
[tex]\sf Perimeter = 2(3\sqrt{8})+2(4\sqrt{20}+2\sqrt{24})[/tex]
Equivalent Expression 3
Distribute the parentheses and simplify the radicals:
[tex]\begin{aligned}\sf Perimeter & = \sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})\\& = \sf 6\sqrt{8}+8\sqrt{20}+4\sqrt{24}\\& = \sf 6\sqrt{4 \cdot 2}+8\sqrt{4 \cdot 5}+4\sqrt{4 \cdot 6}\\& = \sf 6\sqrt{4}\sqrt{2}+8\sqrt{4}\sqrt{5}+4\sqrt{4}\sqrt{6}\\& = \sf 6 \cdot 2 \sqrt{2}+8 \cdot 2 \sqrt{5}+4 \cdot 2 \sqrt{6}\\& = \sf 12 \sqrt{2}+16 \sqrt{5}+8 \sqrt{6}\end{aligned}[/tex]
Equivalent Expression 4
Distribute the parentheses and rewrite the square roots as [tex]\sf \sqrt{a}=a^{\frac{1}{2}}[/tex] :
[tex]\begin{aligned}\sf Perimeter & = \sf 2(3\sqrt{8}+4\sqrt{20}+2\sqrt{24})\\& = \sf 6\sqrt{8}+8\sqrt{20}+4\sqrt{24}\\ & = \sf 6 \cdot 8^{\frac{1}{2}}+8 \cdot 20^{\frac{1}{2}}+4 \cdot 24^{\frac{1}{2}}\end{aligned}[/tex]
Equivalent Expression 5
Rewrite the square roots as [tex]\sf \sqrt{a}=a^{\frac{1}{2}}[/tex] :
[tex]\sf Perimeter=12 \cdot 2^{\frac{1}{2}}+16 \cdot 5^{\frac{1}{2}}+8 \cdot 6^{\frac{1}{2}}[/tex]
Snell Co. performs and completes services for a client in May and bills the client $1,000. In June, the client makes a partial payment of $300 cash for the services. In July, the remaining $700 cash is paid. Determine the monthly revenue recorded in May, June, and July for this service
The financial statement performed by Snell Corporation shows how the revenue recognition provides financial statement users(i.e. the client that uses Snell Co. service in May, June, and July) with relevant information regarding the services associated with revenue from customer contracts.
In the given case, the Snell Co. service charge was hiked in May since the entire service income must be accounted for in May. The amount owed from a client is seen as a current asset on the balance sheet, and once the amount is received from a client, it is removed off from the current asset. Thus it is added to the zero dollars ($0) company's cash balance. In this case, the cash collected in June and July is not recorded as revenue.
We can conclude that the monthly revenue recorded from Snell Co. performance and services for the client in May, June, and July for this service is as follows:
Months Revenue
May $1000
June 0
July 0
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Revenue is only earned after the required obligation (goods delivered or service rendered) has been fulfilled. From the question, we noted that Snell Co. performs and completes services for a client in May hence the revenue was earned in May irrespective of when money was received for the service rendered.
As such revenue earned in;
May is $1,000
June is $0
July is $0
for the service rendered
3 kom 2.7 Eve carves a shape out of wood. What is the volume of the shap 3 cm 1 cm 2 cm 3 cm 4 cm
Answer:
50cm
Step-by-step explanation:
oh apdiya I just wanted to let you
2. Which group of numbers is in size order?
A. 3.10 - 3.20 - 3.09 - 3.55
B. 3.09 - 3.10 - 3.2 - 3.5
C. 3.10 - 3.20 - 3.09 - 3.55
D. 3.1 - 3.55 - 3.2 - 3.09
Answer:
B. 3.09-3.10-3.2-3.5 is the answer
help with this problem plz
Answer:
22
Step-by-step explanation:
All thats need to do in this problem is add both line lengths to find the length of FH.
8 + 14 = 22
Best of Luck!
The midpoint of a segment can be found using the formulas for a directed line segment, x = (x2 – x1) + x1 and y = (y2 – y1) + y1. When using these formulas to find a midpoint, which is true?
The midpoint of a segment can be found using the formula as follows:
mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)
How to find the mid point of a segment?The midpoint is the middle point of a line segment.
In other words, the midpoint of a segment is the point on that line segment that divides the segment into two congruent segments.
The mid point of a segment can be represented mathematically as follows:
Hence,
mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)
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An Olympic diver jumps off of a platform that is 10 meters high. The diver goes 2 meters underwater after a dive. How far is it from the starting point at the top of the platform to the depth under water?
Answer:
12 meters far.
Step-by-step explanation:
The question translates to 10+2. The word problem states that the height of the platform is 10 meters. That means we can say that he'd have already traveled 10 meters down when he dived. And the problem also states that the diver goes two meters under the water, meaning that he had traveled 2 meters, in addition to the 10 meters. And so, we add the 10 and 2 to get 12 meters in total.
Any mathematics genius around. To solve this question.. am giving the brainliest
HELP PLEASE
Find the length of AB
Step-by-step explanation:
hopefully it makes sense and is visible
:)
How do you solve this problem?
Sorry can't help
can't see the whole question
evaluate (3x)(5y) for x=-1, y=2
Answer:
-30 or 2 i dunno.
Step-by-step explanation:
[tex](3x)(5y) = (3 \times - 1)(5 \times 2) \\ - 3 \times 10 = - 30 \\ \\ or \: An \: other \: way \\ \\ (3x)(5y) = 15xy \\ 15( - 1)(2) = - 30[/tex]
I hope I helped you^_^
A product is introduced into the market. Suppose a products sales quantity per month q(t) is a function of time t in months is given by q(t) = 5000t-120t^2. And suppose the price in dollars of that product. p(t). is also a function of time t in months and is given by p(t) = 120-t^2.
Required:
a. Find, R'(t). the rate of change of revenue as a function of time t
b. What is the the rate of change of revenue with respect to time 3 months after the introduction?
Answer:
Part A)
[tex]\displaystyle R'(t) = (5000-240t)(120-t^2)+(5000t-120t^2)(-2t)[/tex]
Part B)
After three months, the revenue is increasing at a rate of $391,560 per month.
Step-by-step explanation:
A product is introduced into the market. The quantity per month q sold is given by the function:
[tex]q(t) = 5000t - 120t^2[/tex]
And the price p (in dollars) of the product is given by the function:
[tex]p(t) = 120-t^2[/tex]
Part A)
R(t), or the revenue, will be the product of the quantity sold and its respective price during the month. Hence:
[tex]\displaystyle R(t) = q(t)\cdot p(t)[/tex]
Substitute:
[tex]\displaystyle R(t) = \left(5000t-120t^2\right)\left(120-t^2\right)[/tex]
To find R'(t), take the derivative of both sides with respect to t:
[tex]\displaystyle R'(t) = \frac{d}{dt}\left[ \left(5000t-120t^2\right)\left(120-t^2\right)\right][/tex]
Since the function is a product of two expressions, we can consider using the Product Rule:
[tex]\displaystyle \frac{d}{dx} \left[uv\right] = u'v+uv'[/tex]
Hence:
[tex]\displaystyle R'(t) = \frac{d}{dt}\left[5000t-120t^2\right]\left(120-t^2\right) + \left(5000t-120t^2\right)\frac{d}{dt}\left[120-t^2\right][/tex]
Differentiate. Therefore:
[tex]\displaystyle R'(t) = (5000-240t)(120-t^2)+(5000t-120t^2)(-2t)[/tex]
(We may simplify if we desire, but this is not required by the problem.)
Part B)
To find the rate of change of revenue with respect to time three months after the introduction, we can evaluate R'(t) at t = 3. Hence:
[tex]\displaystyle R'(3) = (5000-240(3))(120-(3)^2)+(5000(3)-120(3)^2)(-2(3))[/tex]
Evaluate:
[tex]R'(3) = 391560\text{ dollars/month}[/tex]
In conclusion, after three months, the revenue is increasing at a rate of $391,560 per month.
(Note: it is increasing because the final value is positive.)
Translate and solve: Three-fourths of p is 18.
hi <3
just form a quick equation:
3/4p = 18
divide both sides by 3/4 to get your answer:
p = 24
hope this helps :)
1) A spinner is divided into equal red, blue, green,
red, black, and yellow sections. What's the
probability of spinning green and then red.
Answer:
1/18
Step-by-step explanation:
Probability of spinning red=2/6=1/3
Probability of spinning green=1/6
probability of spinning green and then red=(1/6)*(1/3)=1/18
Write the number in expanded form 99,763
Answer:
90,000+9,000+700+60+3
Answer:
90,000 + 9,000 + 700 + 60 + 3 I hope this helped
HELPP its hard this is too hard for Shay ( my name)
Answer:
ok
Step-by-step explanation:
yeet
how to calculate bearing
Answer:
Step-by-step explanation:
You will have to interpret the question with the aid of a diagram and make out the relevant angles and either make use of cosine rule,sine rule etc....Your knowledge on angles should be sound
Please help ASAP pleaseeee no links or fake answers
Solve M = 5rt^2- 2rv for v.
Can someone please help with this I’ll put it to 100 points
Answer:
(M-5rt^2)/(-2r) =v
Step-by-step explanation:
M = 5rt^2- 2rv
Subtract 5rt^2 from each side
M-5rt^2 = 5rt^2- 2rv -5rt^2
M-5rt^2 = - 2rv
Divide each side by -2r
(M-5rt^2)/(-2r) =- 2rv / (-2r)
(M-5rt^2)/(-2r) =v
Answer:
[tex]v = -\frac{M-5rt^2}{2r}[/tex]
Step-by-step explanation:
[tex]M = 5rt^2 - 2rv[/tex]
Switch sides
[tex]5rt^2-2rv=M[/tex]
Subtract [tex]5rt^2[/tex] from both sides
[tex]5rt^2 - 2rv-5rt^2= M -5rt^2[/tex]
Simplify
[tex]-2rv = M - 5rt^2[/tex]
Divide both sides by [tex]-2r[/tex]
[tex]\frac{-2rv}{-2r} =\frac{M}{-2r} -\frac{5rt^2}{-2r}[/tex]
Simplify
[tex]-\frac{M-5rt^2}{2r}[/tex]
what is 63 divided by 1000
Answer:
0.063
Step-by-step explanation:
Simplify the expression. 8c2 x –3c7
Answer:
the solution is (-2^3 · 3C^9)Step-by-step explanation:
Step 1(8 • (c2)) • (0 - 3c7)Step 223c2 • -3c7Step 3c2 multiplied by c7 = c(2 + 7) = c9Answers and step by step explanations please?(Just one example)
Which answer shows three ways to write 2/3 as a ratio?
Answer:
2/3 can be wrtten in three ways
Step-by-step explanation:
1: 6/9
2. 4/6
3.20/30
Please help me with this Geometry problem
Multiply (2a-5)(4a-7) Simplify your answer
[tex](2a - 5)(4a - 7)[/tex]
[tex]2a(4a - 7) - 5(4a - 7)[/tex]
[tex]8 {a}^{2} - 14a - 20a + 35[/tex]
[tex]8 {a}^{2} - 34a + 35[/tex]
Step-by-step explanation:
( 2a - 5 ) ( 4a - 7 )
2a ( 4a - 7) - 5 ( 4a - 7 )
8a² - 14a - 20a + 35
8a² -34a + 35
13. (x + 5) +(4.x - 7)
+
Answer:
[tex]5x - 2[/tex]
Step-by-step explanation:
[tex](x + 5) + (4x - 7)[/tex]
[tex]x + 5 + (4x - 7)[/tex]
[tex]x + 5 + 4x - 7[/tex]
[tex]5x + 5 - 7[/tex]
[tex]5x - 2[/tex]
graph the sequence 2, 4, 6, 8, 10
Answer:
going up in even numbers
Step-by-step explanation:
its like the two times table, and it goes up in even numbers
Answer:
any number you can take
Step-by-step explanation:
like 4'6'8''12
-2y-2 pls solve
pls hard for me
Answer:
−2(y+1)
Step-by-step explanation:
factor ..................
Find the LCM of 315,420,525 using prime factorisation method with slove it
[tex]\boxed{\sf \:\begin{cases}\\\begin{gathered} {\underline{{ \sf {\blue{\Large\bf \underbrace{ {\rm {\purple{\begin{array}{r | l}\large\rm{\red{ 5}}&\underline{315,420,525}\\\large\rm{\red{ 3}}& \underline{63,84,105}\\\large\rm{\red{3}}&\underline{21,28,35}\\\large\rm{\red{ 7}}&\underline{7,28,35}\\\large\rm{\red{2}}&\underline{1,4,5}\\\large\rm{\red{2}}&\underline{1,2,5}\\\large\rm{\red{5}}&\underline{1,1,5}\\&1,1,1\end{array}}}}} }}}}}\end{gathered}\\\end{cases}}[/tex]
LCM = 5 × 3 × 3 × 7 × 2 × 2 × 5
LCM = 6300
Hence, the LCM of 315 , 420 , 525 is 6300
Answer:
6300Step-by-step explanation:
Prime factors of given numbers:
315 = 3*3*5*7420 = 2*2*3*5*7525 = 3*5*5*7The LCM is:
LCM(315, 420, 525) = 2*2*3*3*5*5*7 = 6300Bernadette is a goalie and blocks the goal 20 out of 32 times. What is the experimental probability that Bernadette will block the goal on the next kick? Write your answer as a fraction, decimal, and percent.
Answer:
5/8 or 0.625 or 62.5%.
Step-by-step explanation:
20/32 Divide top and bottom by 4:-
= 5/8.
Mackenzie purchased a ticket to the local music festival for $25. The ticket
includes entry and access to up to 3 events at the festival. Each additional
event costs $6. The total cost for attending x events is given by the
functions T(x) and E(x).
T(x) = 6(x-3) + 25, where x>3
E(X) = 25, where 0 sxs3
After a small search, I've found that we want to find the inverses of both functions. We will find that E(x) does not have an inverse function, and the inverse function of T(x) is h(x) = x/6 - 1/6
Here we have a piecewise function:
T(x) = 6(x-3) + 25 if x > 3
E(x) = 25 if 0 ≤ x ≤ 3
First, remember that two functions f(x) and g(x) are inverses if:
f(g(x)) = x
g(f(x)) = x
From that definition we can see that E(x) does not have an inverse, because for any function g(x), we will have:
E(g(x)) = 25
So E(x) can't meet the condition.
Now let's analyze the function T(x)
T(x) = 6(x-3) + 25
We can rewrite it as:
T(x) = 6x - 6×3 + 25
T(x) = 6x + 1
Note that T(x) is a linear equation, so the inverse will also be a linear equation. Let's assume that the inverse is h(x) = ax + b
We will have:
T(h(x)) = 6×h(x) + 1 = 6(ax + b) + 1
Now, if these are inverses, we have:
6(ax + b) + 1 = x
6ax + 6b + 1 = x
Then we must have:
6b + 1 = 0
6ax = x
From the first equation, we can get:
6b + 1 = 0
6b = -1
b = -1/6
From the second equation we have:
6ax = x
6a = 1
a = 1/6
Then:
h(x) = x/6 - 1/6
And this is the inverse function of T(x)
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