Answer:
420
Step-by-step explanation:
Prime Number: a whole number greater than 1 that cannot be made by multiplying other whole numbers
First prime numbers: 2, 3, 5, 7, 11, 13, 17, ...
Prime Factorization: prime numbers that multiply together to make the original number.
LCM = least common multiple: smallest positive number that is a multiple of two or more numbers
Start by finding the prime factorization of each number.
Start with the smallest prime number: 2
70 ÷ 2 = 35
35 is not divisible by 2 or 3, but is divisible by 5:
35 ÷ 5 = 7
7 is a prime number, so cannot be divided any further
So 70 = 2 × 5 × 7
Start with the smallest prime number: 2
84 ÷ 2 = 42
Again divide by 2:
42 ÷ 2 = 21
Now divide by 3:
21 ÷ 3 = 7
So 84 = 2 × 2 × 3 × 7
Write each number as a product of primes, matching primes vertically when possible
84 = 2 × 2 × 3 × 7
70 = 2 × 5 × 7
Now bring down the primes in each column. The LCM is the product of these factors.
LCM = 2 × 2 × 3 × 5 × 7 = 420
Sorry that the photo is sideways.
Answer: Answer C and D
Equations:
A. 4+4+4+4 | 16 = 4 | 1+1+1+1
B. 4+4+4+4 | 16 = 1
C. 4+1+1 | 6 = 6 | 1+1+1+1+1+1
D. 4+4 | 8 = 8 | 1+1+1+1+1+1+1+1
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Find the value of x and y.
NET OF TOY BOX
13
14
9
What is the surface area, in square feet, of the toy box?
Answer: A =
ft?
Submit Answer
wento
Solution:
We know that:
[tex]L = 13 \ feet[/tex][tex]B = 14 \ feet[/tex][tex]H = 9 \ feet[/tex][tex]Surface \ area = 2LB + 2BH + 2LH[/tex]
Step-1: Substitute the length, breadth, and height.
[tex]Surface \ area = 2LB + 2BH + 2LH[/tex]=> [tex]Surface \ area = 2(13)(14) + 2(14)(9) + 2(13)(9)[/tex]Step-2: Find the surface area.
=> [tex]Surface \ area = 2(13)(14) + 2(14)(9) + 2(13)(9)[/tex]=> [tex]Surface \ area = 364 + 252 + 234[/tex]=> [tex]\bold{Surface \ area = 850\ feet^{2}}[/tex][tex]\\ \rm\Rrightarrow TSA=2(LB+BH+LH)[/tex]
[tex]\\ \rm\Rrightarrow TSA=2(126+117+182)[/tex]
[tex]\\ \rm\Rrightarrow TSA=850ft^2[/tex]
Jennifer had to finish 3 assignments during the week.
She completed the first assignment in 3 1/2 hours. The
second assignment took 1/2 hours lesser while the third
assignment took 2 1/2 hours more than the first. How
much time did it take her to complete the
assignments.
Answer:
6 1/2 hours
Step-by-step explanation:
3 1/2 + 1/2 + 2 1/2
4 + 2 1/2
6 1/2
First add the 3 1/2 and the 1/2 together to get 4. Then you add the 2 1/2 to the 4 to get 6 1/2. :)
Hope this helped!
Have an amazing day!!
PLEASE RATE!!
Answer: 12hrs 30mins
Step-by-step explanation: 3hrs 30mins + 3hrs + 6hrs = 12hrs 30mins
Hope that helps!
There are 30 flowers 2/5 are daisies 1/6 are roses the rest are carnations may many carnations are in the vase
Answer:
14
Step-by-step explanation:
If you add 2/5 of 30 (12) to 1/6 of 30 (5) you get 16. You then subtract 30-16! I hope this helps, and have a great day!
When a hammer falls from a work bench, __________.
a
the kinetic energy of the hammer increases, while the potential energy increases
b
the kinetic energy of the hammer decreases while its potential energy increases
c
The kinetic energy of the hammer increases while the potential energy decreases
d
the kinetic energy of the hammer decreases, while it's potential energy decreases
Answer:
b
Step-by-step explanation:
so u have to read careful
Given that f(x) = x2 + 12x + 35 and g(x) = x + 7, find (f:g)(x) and express
the result in standard form.
Answer:
x^3+19x^2+119x+245
Step-by-step explanation:
The required value of function (f:g)(x) would be (x + 5) which is the ratio of function f(x) and g(x).
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
Given that f(x) = x² + 12x + 35 and g(x) = x + 7
As per the question,
⇒ (f:g)(x) = (x² + 12x + 35) : (x + 7)
⇒ (f:g)(x) = (x² + 12x + 35) / (x + 7)
Solve the above quadratic equation, and we get
⇒ (f:g)(x) = (x² + 5x + 7x + 35) / (x + 7)
⇒ (f:g)(x) = x(x + 5) + 7(x + 5) / (x + 7)
⇒ (f:g)(x) = (x + 5)(x + 7) / (x + 7)
⇒ (f:g)(x) = (x + 5)
Therefore, the required value of function (f:g)(x) would be (x + 5).
Learn more about the quadratic function here:
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Calculate each of the following parts of parts. Be sure to show your work.
Step-by-step explanation:
please mark me as brainlist please
L need help with this pls
Answer:
75
Step-by-step explanation:
The lines l and m are already parallel so in order for that to be correct the measure of angle x would be 75 degrees :)
Solve 6x<90. Graph the solution
Answer:
image is attached (shaded area is where x could be)
Step-by-step explanation:
[tex]6x < 90[/tex]
divide both sides by 6
[tex]x < 15[/tex]
this means x is strictly less than 15
Does anyone got the answer to this?
Answer:
Step-by-step explanation:
Givens
C = 2*pi*r
C = pi*d
C = 125.6
r = d/2
Solution
C = pi *d
125.6 = 3.14 * d Divide both sides by 3.14
125.6/3.14 = d
d = 40
You can use 1 of 2 methods to get the radius
The easiest one is use
r = d/2
r = 40/2
r = 20
Please help ASAP PLEASE I NEED HELP
Answer:
4/9
Step-by-step explanation:
find common denominator which is 9
1/9 + 3/9 (I change the numerator because since we multiplied the bottom you do the top)
now add
1/9 + 3/9 = 4/9
hope that helps and makes since
Answer: 4/9
Step-by-step explanation: 1/9 + 1/3(which is 3/9) = 4/9.
4pounds of tomatoes for 6 dollars what was the cost per pound of tomatoes
Answer:
$1.50
Step-by-step explanation:
Answer:
x = $1.50; The cost per pound of tomatoes is $1.50
Step-by-step explanation:
We can the cross method.
4 pounds = $6
1 pound = x
4x = 6*1
4x=6
4x/4 = 6/4
x= 1 1/2 or $1.50
x = $1.50
The cost per pound of tomatoes is $1.50
Hope this helps!
1/7of21 what is answer
3
Step-by-step explanation:
1/7 of 21
=1/7 ×21
=1×3
= 3Please mark my answer the brainliest and rate me 5 star and follow me.please please please please please please
Assume that when adults with smartphones are randomly selected,41 % use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.
Answer:
0.345
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
n = 5, r = 2, p = 0.41, and q = 0.59.
P = ₅C₂ (0.41)² (0.59)⁵⁻²
P = 0.345
What is the volume I need some help
your answer is 64cm
thats it
consider the line y=7-7x what is the slope of a line parallel to this line
Answer:
Step-by-step explanation:
Slope of the given line = -7
parallel: slope = -7
perpendiculr: slope = -1/(-7) = 1/7
On the drawing for a house plan, the master bedroom is rectangular and has dimensions of 2.25 inches by 2.5 inches. If the scale of the drawing is 1/8 inch = 1 foot, what is the actual area of the master bedroom? Make sure to label your answer.
What is 5 x 9 the answer
Answer:
5 x 9 is 45
Step-by-step explanation:
just is loll
Three consecutive integers have a sum of 72. Find the integers.
Answer:
Step-by-step explanation:
x is smallest integer
x + (x + 1) + (x + 2) = 72
3x + 3 = 72
3x = 69
x = 23.
This means that the integers are 23, 24, and 25.
The denominator for the improper fraction represented by the shaded area is .....
Answer:
4/3 is the fraction / the denomonator would then be 3
Step-by-step explanation:
4 shaded on the top and 3 shaded on the bottom. The numerator is on the top and the denomonator is on the bottom.
find the x and y intercept of the graph of -9x+3y=12
Step-by-step explanation:
by graph method
x = -b/2a
b = 3, a = -9
x = -3/-18
x = 1/6
back to the equation to substitute
-9x + 3y = 12
-9(1/6) + 3y = 12
- 3/2 + 3y = 12
-3 + 6y = 24
6y = 27
y = 9/2
x = 1/6, y = 9/2
Anita earned a 74, 85, and 84 on her first three biology exams. What is the minimum score she needs to get on the fourth test in order for her average exam score to be 82?
Answer:
85
Step-by-step explanation:
82×4=328
328=74+85+84+x
x=328-74-85-84
x=85
Which graph represents -3x+5y=-15?
Answer:
It's a straight line
Step-by-step explanation:
The line has a slope of 3/5 and a y-axis crossing of -3
James is running around a square field. He starts at point A, then runs around the perimeter, passing through points B, C, and D, until he gets back to point A. Then he cuts across the diagonal to point C. In total, he covers 271 m. If AB¯¯¯¯¯¯¯¯ is 50 m long, what is the length of the diagonal AC¯¯¯¯¯¯¯¯?
Answer:
i dont know can someone help me out im dying over here
A cube made out of lead has a mass of 12 grams. A side of the cube has length 1 cm. What would be the mass of the cube whose sides have length 1.5 cm?
Answer:
The mass of a lead cube whose side have length 1.5 cm is 40.5 gramsStep-by-step explanation:
1. Let's review the information given to
1. Let's review the information given tous to answer the question correctly:
1. Let's review the information given tous to answer the question correctly:Mass of the cube made out of lead = 12
= 12grams
Side of the cube = 1 cm
2. What would be the mass of a lead
What would be the mass of a leadcube whose sides have length 1.5 cm?
What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let's
What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube and
What would be the mass of a leadcube whose sides have length 1.5 cm?For answering the question, let'scalculate the volume of the cube andthen its density, this way:
Volume = Height* Width * LengthVolume=1*1*1Volume =1 cmLet's recall the formula of the density:
Density Mass/Volume, therefore:
Density of the lead = 12/1= 12 gr/cm
Now, let's calculate the volume of the
Now, let's calculate the volume of thesecond cube:
Volume = Height Width LengthVolume = Height Width LengthVolume 1.5 * 1.5 1.5Volume = Height Width LengthVolume 1.5 * 1.5 1.5Volume =3.375 cm3Finally, let's calculate the mass, using
Finally, let's calculate the mass, usingthe density of the lead we already
Finally, let's calculate the mass, usingthe density of the lead we alreadyknow:
Density = Mass/Volume12 Mass/3.37512 Mass/3.375Mass 12 *3.37512 Mass/3.375Mass 12 *3.375Mass = 40.5 gramssWhich is a statistical question?
Question 1 options:
How many even numbers are there between 10 and 20?
How many letters are in the word "octopus"?
How many minutes does it take to travel to school?
Answer:
How many minutes does it take to travel to school?
Step-by-step explanation:
A statistical question means you expect variability in the responses.
For instance, if you look at the first question, there's only 1 answer, so there's no variability. If you look at the second question, there's also only 1 answer.
How many minutes does it take to travel to school?
======================================================
Explanation:
Choice A is not a statistical question because we don't need to use statistics to find the answer. We simply count out the number of even numbers between 10 and 20. There's no need to draw a random sample of elements and do statistical analysis.
The same goes for choice B as well. There are 7 letters in this word and this value does not fluctuate/change.
Therefore we rule out choices A and B.
Choice C on the other hand has its answer vary depending on which person you ask. If you ask enough people, then you can find the average number of minutes, which is one tool to do statistics. This variable is considered a random variable (RV).
1,4,5,9,14,23 what a situation
Answer:
If you are asking for the median, it's 9.
explanation:
Find the middle number and round it up. That is how to find median.
A data set is given as follows:
Please give the best fit using the least squares with the following functions
(1) y = ax + b;
(2) y = ax + b;
and draw their respective graphs.
(Probability and Statistics)
Entering the values obtained from the data in the table based on the
given functions of y = a·x + b, and y = a·|x| + b, we have;
(1) y = -0.0614·x + 1.58772
(2) y = 0.3824·x + 0.91168
How can the best fit lines be obtained?The least squares regression formula is presented as follows;
[tex]a = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]
(1) From the data in the table, and by using MS Excel, we have;
[tex]\overline x[/tex] = -0.2
[tex]\overline y[/tex] = 1.6
[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = -1.4
[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 22.8
Which gives;
[tex]a = \dfrac{-1.4}{22.8 } \approx \mathbf{-0.0614}[/tex]
1.6 ≈ b - 0.0614 × (-0.2)
b = 1.6 - 0.0614 × (0.2) = 1.58772
The equation of best fit for the function, y = a·x + b, is therefore;
y = -0.0614·x + 1.58772(2) For the function, y = a·|x| + b, we have;
[tex]\overline x[/tex] = 1.8
[tex]\overline y[/tex] = 1.6
[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = 2.6
[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 6.8
Which gives;
[tex]a = \dfrac{2.6}{6.8} \approx \mathbf{0.3824}[/tex]
1.6 ≈ b + 0.3824 × (1.8)
b = 1.6 - 0.3824 × (1.8) = 0.91168
The equation of best fit for the function, y = a·|x| + b, is therefore;
y = 0.3824·x + 0.91168Learn more about the least squares regression line here:
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The water level at a pier is modeled by the function y= 2.5 cos(2pi/12.5) +12, where y represents the water level measured in meters, and x represents the number of hours since the last high tide. After how many hours is the water first expected to reach a depth of 12 meters? Round to the nearest tenth of an hour.
ANSWER CHOICES
1.6 hours
3.1 hours
14.4 hours
19.6 hours
Answer: 3.1 hours
Step-by-step explanation: Just took the quiz on edg.
Water will reach a depth of 12 meters after 3.1 hours approximately.
Function representing the level of water by 'y' and number of hours by 'x' is,
[tex]y=2.5\text{cos}(\frac{2\pi x}{12.5})+12[/tex]For y = 12 meters, (Substitute the value of y)
[tex]12=2.5\text{cos}(\frac{2\pi x}{12.5})+12[/tex]
[tex]12-12=2.5\text{cos}(\frac{2\pi x}{12.5})[/tex]
[tex]\text{cos}(\frac{2\pi x}{12.5})=0[/tex]
[tex]\frac{2\pi x}{12.5}=\frac{\pi }{2}[/tex] (Since, [tex]\text{cos}(\frac{\pi }{2})=0[/tex])
[tex]\frac{\pi x}{12.5}=\frac{\pi }{4}[/tex]
[tex]x=\frac{\pi }{4}\times \frac{12.5}{\pi}[/tex]
[tex]x=3.125[/tex]
[tex]x\approx3.1[/tex] hours
Therefore, water will reach a depth of 12 meters after 3.1 hours approximately.
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