Given:
The numbers are 160, 192, 240.
To find:
The LCM of 160, 192, 240.
Solution:
The given numbers are 160, 192, 240. Write the factor forms of these numbers.
[tex]160=2\times 2\times 2\times 2\times 2\times 5[/tex]
[tex]160=2^5\times 5[/tex]
[tex]192=2\times 2\times 2\times 2\times 2\times 2\times 3[/tex]
[tex]192=2^6\times 3[/tex]
[tex]240=2\times 2\times 2\times 2\times 3\times 5[/tex]
[tex]240=2^4\times 3\times 5[/tex]
Now, the LCM of given numbers is the product of all prime factors with highest degrees.
[tex]LCM=2^6\times 3\times 5[/tex]
[tex]LCM=64\times 15[/tex]
[tex]LCM=960[/tex]
Therefore, the LCM of given numbers is 960.
50 points!!!!! need answer ASAP
Answer:
the first option
Step-by-step explanation:
i believe
Um gato come 5 ratos por dia. Quantos ratos 5 gatos comem em 5dias?
Answer:
1 gato come 5 ratos em 1 dia X 5 = 5 gatos come 25 ratos por dia
5 gatos come 25 ratos por dia X 5 = 25 gatos come 125 ratos por dia
guys please help its my final either i pass or not
Answer:
Step-by-step explanation:
1 yes 2 no 3 no 4 yes 5 no
Answer:
1. yes
2. yes
3. no
4. yes
5. no
Step-by-step explanation:
go to mathwa* and type in the same equation and click to see if function or not.
gl on the final
this guy above me is wrong for #2
I need help with this question
Answer:
[tex]sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9[/tex]
Option B: 20.9°
Solve for X: -10+3X<4
Answer:
x<14/3
Step-by-step explanation:
-10+3x<4
3x<4+10
3x<14
x<14/3
If this helps please mark as brainliest
A line for tickets to a Broadway show had a mean waiting time of 20 minutes with a standard deviation of 5 minutes.
What percentage of the people in line waited for more than 28 minutes?
Answer:
5.48% of the people in line waited for more than 28 minutes
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean waiting time of 20 minutes with a standard deviation of 5 minutes.
This means that [tex]\mu = 20, \sigma = 5[/tex]
What percentage of the people in line waited for more than 28 minutes?
The proportion is 1 subtracted by the p-value of Z when X = 28. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 20}{5}[/tex]
[tex]Z = 1.6[/tex]
[tex]Z = 1.6[/tex] has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
As a percentage:
0.0548*100% = 5.48%
5.48% of the people in line waited for more than 28 minutes
A is a set containing five different numbers. B is a set containing
four different numbers, all of which are members of A. Which of
the following statements CANNOT be true?
Answer:
"the median of a is equal to the median of b" cannot be true.
Step-by-step explanation:
The statement "the range of A is less than the range of B. cannot be true.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
The given statements are:
The mean of A is equal to the mean of B,The median of A is equal to the median of B,The range of A is equal to the range of B,The range of A is less than the range of B.The range of A < the range of B --> the range of a subset cannot be more than the range of a whole set.
Thus, the statement "the range of A is less than the range of B. cannot be true.
Learn more about the mean here:
https://brainly.com/question/22871228
#SPJ2
The temperature in a commercial freezer over four days are -2.36 F, 1.68F, -1.81F, and 0.67F what is the mean temperature of the freezer over the four days
Answer: -0.455F
Step-by-step explanation:
The mean temperature of the freezer over the four days will be gotten by adding the total temperature and then dividing by 4. This will be:
= (-2.36 + 1.68F + -1.81F + 0.67F) / 4
= -1.82F/4
= -0.455F
The mean temperature is -0.455F
\-x+sqrt1−x
2
\-=sqrt2(2x
2
−1)
Answer:
3sqrt2
Step-by-step explanation:
b jhf vj fjvfd vmnd fmv ndkfv mndfvdf nkvvdf lkv nf khlfd hjvdf
four of the angle of a Pentagon are 70°,90°,100° and 145°. What is the side of a fifth angle?
Answer: 135°
Step-by-step explanation:
The sum of the angles in a pentagon is equal to 540°, and the sum of the first four angles is 405°.
70 + 90 + 100 + 145 = 405
540 - 405 = 135
Alex collects coins that appreciate (increase in) value. At the store he has found three coins that he likes and can afford. Help Alex decide which coin to buy by selecting two coins and comparing their values over time. 1. Which two coins are you going to compare? Circle the two coins you picked. Coin A Coin B Coin C Finding Equations for the Values 2. What are the current values and appreciation rates of the two coins you selected? (2 points: 1 point for each of 2 coins) Coin Current Value Annual Appreciation Rate 3. Write an exponential equation for each coin that will give the coin's value, V, at any time, t. Use the formula: V(t) = P(1 + r)t, where V(t) is the value of the coin in t years, P is the initial investment, and r is the growth rate. For each of the coins you selected, identify P and r, then set up an equation to find the value of the coin at any t. (2 points: 1 point for each coin) Coin P r Function V(t) = V(t) = Interpreting Exponential Expressions 4. In the coin value formula, V(t) = P(1 + r)t, which part(s) form the base of the exponential function? Which part(s) form the constant, or initial value? Which part(s) form the exponent? (4 points: 1 point for each answer below) Base: Constant, or initial value: Exponent: In this function, if the value of r were to increase, would the value represented by P also increase or stay the same? Why? Explain your answer using terms such as "rate of growth" and "initial value" in the context of the coin problem. 5. Find the value of the coins after 10, 20, 30, and 60 years. Use the function you identified in question 3 to calculate the value. (8 points: 1 point for each time interval) Coin A Coin B Coin C Initial Value 10 years 20 years 30 years 60 years Determining the More Valuable Coin 6. Which coin is more valuable after 10 years? 20 years? 30 years? 60 years? Which coin would you purchase if you intended to keep it longer than 60 years, and why? (Hint: Loo
Answer:
Coin A:
10:$46.18
20:$96.74
30:$190.31
60:$1448.66
Coin B
10:$65.16
20:$106.13
30:$172.88
60:$466.98
Coin C
10:$88.81
20:$131.47
30:$194.60
60:$631.18
I think these are right. I've rounded the answers to the nearest 10th place.
find the answer of
31050×2³
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x) = 7xex, a = 0
Answer:
The four first terms are:
[tex]7x,7x^{2},\frac{21x^{3}}{6},\frac{7x^{4}}{6}[/tex]
Step-by-step explanation:
The function is:
[tex]f(x)=7xe^{x}[/tex]
The Taylor series around a is given by:
[tex]F(x)=\sum^{\infty}_{n=0} \frac{f^{n}(a)(x-a)^{n}}{n!}[/tex]
The first 4 terms will be:
[tex]F(x)=f(0)+\frac{f^{'}(0)(x)}{1}+\frac{f^{''}(0)(x)^{2}}{2}+\frac{f^{'''}(0)(x)^{3}}{6}[/tex]
Let's find first the derivatives:
[tex]f'(x)=7(xe^{x}+e^{x})[/tex]
[tex]f'(0)=7(0e^{0}+e^{0})=7[/tex]
[tex]f''(x)=7xe^{x}+7e^{x}+7e^{x}=7xe^{x}+14e^{x}[/tex]
[tex]f''(0)=14[/tex]
[tex]f'''(0)=21[/tex]
[tex]f''''(0)=28[/tex]
[tex]F(x)=0+\frac{7(x)}{1}+\frac{14(x)^{2}}{2}+\frac{21(x)^{3}}{6}+\frac{28(x)^{4}}{24}[/tex]
Therefore, the four first terms are:
[tex]7x,7x^{2},\frac{21x^{3}}{6},\frac{7x^{4}}{6}[/tex]
I hope it helps you!
So the Taylor series for the function informed will be:
[tex]7x; 7x^2; \frac{21x^3}{6} ; \frac{7x^4}{6}[/tex]
The function is:
[tex]f(x)= 7e^xx[/tex]
The Taylor series around a is given by:
[tex]f(x)= \sum \frac{f^n (a) (x-a)^n }{n!}[/tex]
The first four terms will be:
[tex]F(x)=f(0)+\frac{f'(0)(x)}{1}+\frac{f''(0)(x)^2}{2} + \frac{f'''(0)(x)^3}{6}[/tex]
Let's find first the derivaties:
[tex]f'(x)= 7(e^xx+e^x)\\f'(0)= 7\\f''(x)= 7e^xx+14e^xx\\f''(0)=14\\f'''(0)= 21\\f''''(0)= 28[/tex]
[tex]F(x)= 0+\frac{7x}{1}+\frac{14x^2}{2}+\frac{21x^3}{6}+\frac{28x^4}{24}[/tex]
Therefore, the four first terms are:
[tex]7x; 7x^2; \frac{21x^3}{6} ; \frac{7x^4}{6}[/tex]
See more about Taylor series at : brainly.com/question/6953942
Help me on this . It’s important
Answer:
The answer is 16.
Step-by-step explanation:
6 x 3 = 18
18 - 2 =16
Add a sale this week a suit is being sold for $476 this is a 15% discount from the original price what is the original price
Find the value of x.
Answer:
49°
Step-by-step explanation:
x= 90-41 = 49°
---------
Answer:
I would assume x = 49° since 49+41=90 and it appears to be a 90° angle
plz help 5th grade work
Answer:
I don't see where the question is...
Step-by-step explanation:
HELP I NEED TO DO THIS NOW I NEED ANSWER B AND C
Answer: a = 13 b = 39 c = 12
Step-by-step explanation:
A square has a perimeter of 88 yd. What is the length of each side
Answer:
22 yards
Step-by-step explanation:
p = 4s
88 = 4s
22 = s
find the volume. the base is regular.
PLEASE HELP ASAP
Answer:
V≈14590.8
Step-by-step explanation:
plz mark brainliest
Provide your steps!!
•••••••••••••••••••••••••
Answer:
946 ft²
Step-by-step explanation:
28 x 7 = 196
30 x 25 = 750
750 + 196 = 946 ft²
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 9.76165m
c = 9.8m
Step-by-step explanation:
The formula for this is [tex]a^{2} +b^{2} =c^{2}[/tex]
or [tex]c = \sqrt{a^{2} +b^{2} }[/tex]
Can somebody help me with my mathia
Answer:
Sure i can try helping u with ur mathia lol
Step-by-step explanation:
Hey Besties! Pls help! 50 pts!
Which is the graph of f(x) = one-fourth(4)x?
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points (2, 1) and (0, 4).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points (1, 1) and (0, 4).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (3, 2) and (4, 4).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (1, 1) and (2, 4).
The graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d) on a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (1, 1) and (2, 4).
What are functions?Functions are used to represent equation, graphs and tables
The equation of the function is given as:
[tex]f(x) = \frac 14(4)^x[/tex]
The above function is an exponential function that has an initial value of 1/4 and a rate of 4
When x = 2,
f(2) = 4
When x = 1,
f(1) = 1
Hence, the graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d)
Read more about exponential functions at:
https://brainly.com/question/11464095
Answer:
graph one
Step-by-step explanation:
did it on ed .
What data display would be best for a persons income based on age?
Answer:
where are the answers to select from?
Step-by-step explanation:
A triangle has sides of lengths 24, 143, and 145. Is it a right triangle? Explain.
Answer:
Yes, the given triangle is right angled
Step-by-step explanation:
To confirm if the given triangle is right angled, we have to apply pythagoras theorem. It states, if a triangle is right angled then
Hypotenuse² = Base² + Perpendicular²
We know that the longest side is hypotenuse.
ie; (145)² = (143)² + (24)²
(145)² = 20449 + 576
21025 = 21025
As LHS = RHS, it is clear that the given triangle with sides 24, 143 and 145 units is right angled
Find the value of x. Only need 7 and 9 answered.
Answer:
Step-by-step explanation
7.
[tex]\frac{6}{6+6} =\frac{8}{8+8} =\frac{7}{x} \\\frac{1}{2} =\frac{7}{x} \\x=7*2=14[/tex]
9.
[tex]\frac{x+1}{12} =\frac{x-1}{8} \\12x-12=8x+8\\12x-8x=8+12\\4x=20\\x=20/4=5[/tex]
Which sequence of transformations would create an image that is incongruent to the original pre-image? O A translation 4 units to the left followed by a dilation by 2 O A rotation of 90- followed by a translation of 2 units to the right O A reflection across the y-axis followed by a rotation of 180- O A rotation of 270 followed by a reflection across the x-axis.
Answer: Choice A
A translation 4 units to the left followed by a dilation by 2
=============================================================
Explanation:
The following transformations will make the pre-image and image congruent to one another:
ReflectionRotationTranslationIf you apply any of those transformations mentioned above, then the image is an identical copy of the pre-image. Nothing about the figure has changed other than it has been shifted, rotated, or reflected in some way. The figure retains its original size and shape. These transformations are called isometries.
A dilation on the other hand does not preserve the size. "Dilation by 2" means the scale factor is 2, so the image will be twice as large compared to the pre-image, in terms of linear dimension. This means there is no way the image is congruent to the pre-image if a dilation has occurred.
Based on all this, choice A is the answer. Choices B, C, and D only involve the three isometries mentioned earlier and no dilation at all, so they can be ruled out.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
2.8
Step-by-step explanation:
Use the formula a^2+b^2=c^2
Then plug in the numbers 2^2+2^2=c^2
Solve to find the value of c 8=c^2
c≈2.8
So, the hypotenuse is 2.8
Hope this helps! Let me know if you have any questions :D
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Page 11 of 4
Question 11 (1 point)
Rock musician Donny West is paid 20% on his CD sales and tour video sales.
Last year, he sold one million CDs and 650,000 videos.
The CDs were sold to music stores for $5.25 each and the videos for $6 each.
How much did Donny West receive in royalties last year?
a) $780,000
b) $1,050,000
c) $1,830,000
d) $200,000
e) $130,000
Answer:
dony west receive $1830000