Step-by-step explanation:
Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.
A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 dt , where P_tP t is the population after hours, P_0P 0 is the initial population, is the time in hours and is the doubling time, what is the population of bacteria in the culture after 14 hours, ?
Answer:
285541
Step-by-step explanation:
According To The Question,
Given, A culture of bacteria has an initial population of 41000 bacteria and doubles in every 5 hours & [tex]P_{t} = P_{i}*(2)^{\frac{d}{t} }[/tex] .Now, for the population of bacteria in the culture after 14 hours is [tex]P_{t}[/tex] . We have Initial Population([tex]P_{i}[/tex])=41000 , d=14 & t=5 .
Put These Value in Above Formula, We get
[tex]P_{t} = 41000*(2)^{\frac{14}{5} }[/tex]
[tex]P_{t} = 41000*2^{2.8}[/tex]
[tex]P_{t} = 41000*(6.9644)[/tex]
[tex]P_{t} =[/tex] 285540.5847 ≈ 285541
Ten times a number a added to three times a second number b divided by a third number c.
Answer:
10a+3b÷c/3
Step-by-step explanation:
let the first number be a
second be b
third be c
10×a +3×b ÷c÷3
10a+3b÷c/3
=10a+3b÷c/3
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 80 pounds. The truck is transporting 60 large boxes and 65 small boxes. If the truck is carrying a total of 4975 pounds in boxes, how much does each type of box weigh? X Large box: pounds Small box: ( pounds 5 ?
Answer:
small = 35 pounds
large = 45 pounds
Step-by-step explanation:
Let x = large boxes
y = small boxes
two equations can be derived from the question
x + y = 80 equation 1
60x + 65y = 4975 equation 2
multiply equation 1 by 60
60x +60y = 4800 equation 3
subtract equation 2 from 3
5y = 175
y = 35
substitute for y in equation 1
x + 35 = 80
x = 80 - 35
x = 45
Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. What was the final cost of the ticket?
Answer:
$66
Step-by-step explanation:
$75
75*.8 =60
60*1.1= $66
rational number between - 4/7 and 8/4
Answer:
Hdujshshshddhdh
Step-by-step explanation:
The tables show the cost of different numbers of t-shirts ordered at two different stores, Store P and Store Q: Store P Number of T-shirts Cost (in $) 3 $18 6 $36 9 $54 Store Q Number of T-shirts Cost (in $) 2 $10 4 $20 8 $40 Which of these explains which store has a better buy? (5 points) Store Q, because the ratio of the number to the cost is 1:6 in Store P and 1:5 in Store Q Store Q, because the ratio of the number to the cost is 6:1 in Store P and 5:1 in Store Q Store P, because the ratio of the number to the cost is 3:21 in Store P and 2:12 in Store Q Store P, because the ratio of the number to the cost is 21:3 in Store P and 12:2 in Store Q
Answer:
store p
number
of t-shirts cost (in $)
3 $18
6 $36
9 $54
store q
number
of t-shirts cost (in $)
2 $10
4 $20
8 $40
Store q, because the ratio of the number to the cost is 1: 6 in store p and 1: 5 in store q.
ASAP 30 POINTS BRAINLIEST IF RIGHT
Answer:
answer in the link below if you have any questions let me know
Answer:
≈ 0.14
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [a, b ] = [ - 1, 3 ] , then
f(b) = f(3) = [tex]\sqrt[3]{3+3}[/tex] = [tex]\sqrt[3]{6}[/tex] ≈ 1.817
f(a) = f(- 1) = [tex]\sqrt[3]{-1+3}[/tex] = [tex]\sqrt[3]{2}[/tex] ≈ 1.260 , then
average rate of change = [tex]\frac{1.817-1.260}{3-(-1)}[/tex] = [tex]\frac{0.557}{4}[/tex] ≈ 0.14 ( to the nearest hundredth )
Rahul and Swapnil brought an equal amount of money for shopping. Rahul spend rupees 95 and Swapnil spend rupees 350. after that Swapnil had 4/7 of what Rahul had left. how much money did Rahul have left after shopping.
A. 27
B. 36
C. 45
D. 54
Given:
Rahul and Swapnil brought an equal amount of money for shopping.
Rahul spend rupees 95 and Swapnil spend rupees 350.
After that Swapnil had [tex]\dfrac{4}{7}[/tex] of what Rahul had left.
To find:
How much money did Rahul have left after shopping.
Solution:
Let x be the amount brought by both Rahul and Swapnil.
Rahul spend rupees 95 and Swapnil spend rupees 350. So, the remaining amounts are:
Rahul's remaining amount = [tex]x-95[/tex]
Swapnil's remaining amount = [tex]x-350[/tex]
After that Swapnil had [tex]\dfrac{4}{7}[/tex] of what Rahul had left.
[tex](x-350)=\dfrac{4}{7}\times (x-95)[/tex]
[tex]7(x-350)=4(x-95)[/tex]
[tex]7x-2450=4x-380[/tex]
Isolate the variable terms.
[tex]7x-4x=2450-380[/tex]
[tex]3x=2070[/tex]
[tex]x=\dfrac{2070}{3}[/tex]
[tex]x=690[/tex]
Now, the remaining amount of Rahul is:
[tex]x-95=690-95[/tex]
[tex]x-95=595[/tex]
Therefore, the correct option is B.
What is the value of U
I don't have a value... jk jk :)
Answer: 40°
Explanation... since U is on a straight line and since GS is 140
180 - 140 = 40
Hope it helps...
Express 60g as a percentage of 3kg?
Answer:
2%
60/3000g= ?/100
60×100/3000=2
Identify each expression with a sum of x2 + 3x +1.
Answer:
There are no like terms.
Step-by-step explanation:
i need help asap
i need to know how to show work pls help
Step-by-step explanation:
add all the freqency up which is 100
you have to use a customize spinner and put in all the colors that are all on the side...
Spin 150 times ( 250-100= 150) and put tally marks on the sheet of tallys.
Then count all you red and see.
Hope all that makes sense..
Graph the following: Max did not get less than 87 on his test.
Answer:
y > 87
Step-by-step explanation:
What Max got will be represented by y.
y is not less than 87.
y is greater than 87
y > 87
Bari Jay, a gown manufacturer, received an order for prom dresses from China. Her cost is $32 a gown. If her markup based on selling price is 76%, what is the selling price of each gown? (Round your answer to the nearest cent.)
Answer:
$56.32
Step-by-step explanation:
Find the selling price by multiplying the original cost by 1.76:
32(1.76)
= 56.32
So, the selling price is $56.32
The triangles below are similar. In each triangle there is a 53 degrees angle and a right angle. What is the measure of the third angle in each triangle?
Triangle J K L. Angle K is 90 degrees and angle L is 53 degrees. Triangle Y X Z. Angle Y is 53 degrees and angle X is 90 degrees.
37º
47º
53º
127º
Answer:
37
Step-by-step explanation:
they gave us 53 and there is the 90 degree angle so you just add that and find the missing since itll equal 180
Pls don’t have much time
Answer:
the answer is b
Step-by-step explanation:
35 occurs the most on the graph meaning that it's the mode
The greater of two numbers is 3 times the smaller.
Their sum is 44. Find the numbers.
Answer:
11 and 33
Step-by-step explanation:
The greater of two numbers is 3 times the smaller.
Let the numbers be
n and 3n
sum is 44
n + 3n = 44
4n = 44
Divide both sides by 4
n = 11
3n = 3 * 11
3n = 33
Answer:
smaller number is 11
bigger number is 33.
Step-by-step explanation:
Lets make the smaller number be a, the bigger number 3a since its 3 times a's value
the sum of a and 3a is 44
so we write
a+3a = 44
combine like terms
a+3a = 4a
4a = 44
divide both sides by 4
a = 11.
Now we know the smaller number is equal to 11, but we are not done just yet.
We have to find the value of the bigger number by plugging in 11 into our equation
11+3*11 = 44
11 + 33 = 44
which means the bigger number is 33
Please help I’ll give brainliest
Answer:
The answer for this question is 3
Answer:
i believe its 2 but i could be wrong
Step-by-step explanation:
im sorry if i am
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3
-2
0
.
Answer:
Doing the test rn got 3 1/3 i dont know if u should trust me but just try
Step-by-step explanation:
Helppppp
Solve for x.
X= [?]
5х – 5/2x + 10
Answer:
if you want to find how many degree for x
Step-by-step explanation:
you must collect all degree and completing 180 degree for this, (5x-5)+(2x+10)=180 7x=175 x=10,12
Now,
5x - 5 + 2x + 10 = 180° ( linear pair )
7x + 5 = 180°
7x = 180° - 5°
x = 175°/7
x = 25°
I hope it's help u...
Mark me as brainliest....
For a certain population, the population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.
The standard deviation of the distribution of sample proportions is rounded to the nearest hundredth.60 Are taken but the single is 1.
How is the standard deviation of the sampling distribution of a proportion calculated?The population proportion is .6. If samples of size 60 are taken, determine the standard deviation of the distribution of sample proportions rounded to the nearest hundredth.
The Sampling Distribution of the Sample Proportion
and standard deviation σˆP=√pq/n.
How do you find the proportion of a population with mean and standard deviation?This is given by the formula Z=(X-m)/s where Z is the z-score, X is the value you are using, m is the population means and s is the standard deviation of the population. Consult a unit normal table to find the proportion of the area under the normal curve falling to the side of your value.13
Learn more about standard deviation at
https://brainly.com/question/475676
#SPJ2
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Answer:
The car price decreased by $2,268.
The price of the car now is $33,732.
Step-by-step explanation:
Multiply 0.063 (6.3% in decimal form) by $36,000 to get $2,268, which is how much the price decreased.
Then subtract 2,268 from 36,000 to get $33,73, which is the price of the car after the decrease.
Answer:
Step-by-step explanation:
6.3 : 100 = x : 36000
x = (36000 * 6.3)/100 = $2268 (decrease in price)
Price of new model: 36000 - 2268 = $33732
25 points!! Which table shows 4 points on the line that passes through the point (–1,5) and has the same slope as the line 2x+3y=6?
A youth club has 150 members. 60 of the members are girls. What percentage of the club members are girls?
Answer:
40 %
Step-by-step explanation:
no of members in youth club = 150
no of girls = 60
girls percentage = ?
girls percentage = no of girls / total members * 100%
= 60 / 150 *100%
=6000 / 150
=40 %
The radius of a cylinder of volume 2970cm³ is 30mm. Find the volume of a similar cylinder of radius 40mm.
34.3 cm3
if you use formula
30mm 2970cm3
x-x un^3
If k = 23 and m
-14, what is ✓k + m?
Submit
Answer:
3
Step-by-step explanation:
Evaluate:
Sqrt of k = 32 + m = -14
Sqrt of 32-14 = 9
Sqrt of 9 = 3
Therefore, our answer is 3!
Btw sqrt means: square root
Hope this helps! Have a good day!
12 more than the quotient of a number and eight
Answer:
X÷8+12 is how this would look
Answer:
x/8 + 12
Step-by-step explanation:
100%
Ramón and Merissa are driving to New York City after college. The first 300 miles they spend $12.50 on gas.
At this rate, if they drive 960 miles, how much will the gas cost for the entire trip?
Answer:
the gas cost for the entire trip is $77
Step-by-step explanation:
Given that
For the first 300 miles, it spend $12.50 on gas
We need to find out the gas cost for the overall trip at the time when it drives 960 miles
So, it should be
= 960 miles ÷ $12.50
= $76.80
= $77
Hence, the gas cost for the entire trip is $77
What is the product?
(-20d^2+s)(5d^2-6s)
Answer:
-100d⁴ + 125d²s - 6s²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOILStep-by-step explanation:
Step 1: Define
Identify
(-20d² + s)(5d² - 6s)
Step 2: Expand
FOIL: -100d⁴ + 120d²s + 5d²s - 6s²[Addition] Combine like terms: -100d⁴ + 125d²s - 6s²Josie is purchasing a $75 appliance for her kitchen. She has three coupons to the store that she can choose from. Which is a true statement about Josie’s options?
Answer:
where are the answer choices?
Step-by-step explanation: