Answer:
2,3,7 are the prime factorization of number of 252
Hi Student!
Prime factorization is the process of stripping down a number to it's basic elements. We take a number and bring it down the most we can. For example we take 4 and make it 2 x 2. In this case we are given a number of 252 so we can began by dividing by 2.
[tex]252 / 2[/tex]
[tex]126[/tex]
Looking at the numbers that we have now, 126 x 2, we can see that 126 can still be divisible by another 2 so lets do that again.
[tex]126 / 2[/tex]
[tex]63[/tex]
Now, looking at the numbers that we have, 63 x 2 x 2, we see that we can no longer divide it by a 2 because 63 is not divisible by 2. However, we can divide 3 away from the number so lets do that.
[tex]63 / 3[/tex]
[tex]21[/tex]
Once again, looking at the numbers that we have, 21 x 3 x 2 x 2, we see that we can once again divide a 3 away from our first number so lets do that again.
[tex]21 / 3[/tex]
[tex]7[/tex]
Finally, we have come down to the last line where our final elements are 7 x 3 x 3 x 2 x 2. This is our prime factorization of the number 252 and this is where we can conclude our solution seeking.
A group of friends go on a 3-hr bike ride together. They ride 15 km with the wind at their backs
and then 15 km straight into the wind. The wind adds or subtracts 3 km/hr from their speed.
Calculate the average speed of the group of friends with no wind.
Step-by-step explanation:
7km/hr and 13km/hr
Because in this case we divide the total time taken will be 10km/hr but according to the question we have to subtract 3km/hr and also have to add 3km/hr. There for there for there average speed of friends with wind was 7km/hr and friends without wind will be 13km/hr.
Answer:
10.8 km/h to the nearest tenth.
Step-by-step explanation:
Let x be the average with no wind.
Speed = distance / time
With the wind:
x + 3 = 15 / t A where t = time in hours for the first half of journey
Against the wind:
x - 3 = 15/(3 - t) B
Subtract A - B:
6 = 15/t - 15(3 - t)
6t(3 - t) = 15(3 - t) - 15t
18t - 6t^2 = 45 - 30t
6t^2 - 48t + 45 = 0
2t^2 - 16t + 15 = 0
t = - 1.085
So average speed (from equation B)
x = 15/ (3 - 1.085) + 3
= 10.8 km/h to the nearest tenth.
What number is 110% of 17?
Answer:
18.7
Step-by-step explanation:
110 % = 1.1
17 x 1.1 = 18.7
ALSO:
percentages are reversible which means that you can also do 17% of 110 which makes it seem more normal.
17% of 110 is also 18.7
Answer: Heyaa! ^
18.7 is 110% of 17 ~ Making your answer be 18.7
Step-by-step explanation:
Evaulte the problem..
Hopefully this helps you! ~
14 numbers are written in a row so that the sum of any three consecutive numbers is 19, and that the sum of all the numbers is 77. Find the 9th number.
Step-by-step explanation:
The series of numbers that meets the
requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.
How to check that the series meets the requirements?
To verify that the series meets the requirements, we must establish what the requirements are:
●Every 3 consecutive numbers must add up to 19.
●In total there must be 14 numbers.
●The total sum of all the numbers must be 77
To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.
5 + 6 + 8 = 19
9 + 4 + 6 = 19
7 + 3 + 9 = 19
2 + 8 + 9 = 19
In total there must be 14 numbers and they must add up to 77.
5+6+8+9+4+6+7+3+9+2+8+9+1 = 77
For questions 1-2, use the Reciprocal and Quotient Identities to find each value.
By using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
What is Reciprocal and Quotient Identities?In trigonometry, quotient identities refer to trig identities that are divided by each other.
So here we have
[tex]Cosec\theta = \dfrac{27}{5}[/tex]
Now we have to find the reciprocal identity,
[tex]Sin\theta=\dfrac{1}{Cosec\theta}[/tex]
[tex]Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }[/tex]
[tex]Sin\theta=\dfrac{5}{27}[/tex]
hence by using the reciprocal identity the value [tex]Sin \theta[/tex] will be [tex]\dfrac{5}{27}{[/tex]
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Please answer for me, image below. Thanks!
Answer: ya were right its 135
Step-by-step explanation:
we kno that QRS is 180 degrees.
so to get QRT we subtract 45 from 180.
180 - 45
135
ya were right
Answer:
135
Step-by-step explanation:
QRT and TRS add to 180
180-45=135
Isosceles and equilateral triangles
Solve for X
Answer:
11
Step-by-step explanation:
48 = 4x + 4 two of its angles are equal in measurement
- 4 - 4
44 = 4x
---- ----
4 4
11 = x
y= 2x-1 5x-4y=1 is (1, 1) a solution of the system?
Answer:
equate the two euations
y = 2x - 1 multiply by 4
4y = 8x - 4 equate with the second equation
5x - 4y = 1
5x = 8x - 4 + 1
8x - 5x = 3
3x = 3
x = 1
substitute for x in any of the two equations
y = 2x - 1
y = 2(1) - 1
y = 2 - 1
y = 1
Therefore, according the solution we have got.
Yes, (1,1) is a solution to the system.
please help with each step to solve.
Answer:
Answer is in attached picture
Step-by-step explanation:
There are no real solutions for the value of 'x'. The two solutions are complex. The fully simplifed answers would be:
x = 4 + 5i*sqrt(7)
x = 4 - 5i*sqrt(7)
Each of 5 students reported the number of movies they saw in the past year. This is what they reported.
20, 15, 6, 5, 18
Find the mean and median number of movies that the students saw.
If necessary, round your answers to the nearest tenth. Mean: _movies
Median: _movies
Answer:
Step-by-step explanation:
For the mean you add all the numbers up and divide it by how many numbers there are (hence why it's the meanest!)
For the median you need to arrange the number in order of value/size and fine the middle number
plot points for the function f(x)=x^+2x
The equation f(x)=x² + 2x is a quadratic equation, and it passes through the points (0,0) and (1,3)
How to plot the points for the equation?The equation is given as:
f(x)=x² + 2x
Set x = 0
f(0)= 0² + 2(0) = 0
Set x = 1
f(1)= 1² + 2(1) = 3
The above means that the equation f(x)=x² + 2x passes through the points (0,0) and (1,3)
See attachment for the graph of f(x)=x² + 2x
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Find the slope and the -intercept of the line. y=x+8
Answer:
slope = 1
y intercept = (0,8)
Step-by-step explanation:
the equation y = x + 8 is put in y = mx + b form
where m = slope and b = y intercept
in the equation y = x + 8 , the value of "m" is 1 meaning the slope is 1 and the value of "b" is 8 so the y intercept is (0,8)
Answer:
m = 1 and b = 8
Step-by-step explanation:
y = x + 8
Here the slope is 1, since y = mx+ b. m is the slope so m = 1. b is the
y-intercept so b=8
HELP IMMEDIATELY, ASAP, INSTANTLY, `NOW!!! THANKS
Which type of graph is often the LEAST accurate? A) a pie chart B) a pictograph C) a bar graph D) a line graph
Answer:
Pictograph is the least accurate!
Step-by-step explanation:
Because pictographs have specific pictures and you need to divide it specifically whereas other graphs, you can just graph your information and it'll be accurate.
Can someone explain how to do this plez I NEED HELP
Answer:
42
Step-by-step explanation:
well , here we can find the unknown variable which is X
127 = 3X+2 ( vertically opposite angles are equal)
127 = 3X+2
3x+2= 127
collecting like terms
3x = 127-2
3x = 125
dividing bothsides by 3
3x/3 = 125/3
x = 41.66
x = 42 (approximately)
Let g(x)= - |x+2|+2 What is the parent function of g(x)?
Here's the link to the answer:
https://riverside.rocks/index.php
what are the solutions to the system of equations below 3y=x-2 y=-2x+4
The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of the equation:
3y=x-2 ..(1)
y=-2x+4 ...(2)
From the equation (2) take the value of y and plug in the equation (1)
3(-2x+4) = x -2
-6x + 12 = x - 2
7x = 14
x = 14/7
x = 2
Plug this value in the equation (2)
y = -2(2) + 4
y = 0
Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.
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What is the perimeter of the following composite figure?
Answer:
I think it is 15. if I am wrong sorry, but if I am right mark brainliest!!
22x22 is a op question but what is 42x42
Answer:
The to 42 x 42 is 1764
Step-by-step explanation:
22 x 22 = 484
answer these questions:
Q- What score represents the mean?
Q-What percent of the scores were between 81 and 87?
Will give brainliest!!
What is the probability that a subject selected at random from the above survey is a man or agrees with the survey statement?
a) 2/3
b) 21/50
c) 18/25
d) 7/40
Answer:
c) 18/25
Step-by-step explanation:
The total of all votes is 1000.
The total of all 'agree' votes is 420.
Since it is either agrees or is a man, we can add the 300 disagree male votes to 420, making 720 / 1000.
From there we simplify 720 / 1000 -> 18 / 25
Select the correct statement in the table.
Given that r and s are both irrational numbers, determine which statement is true.
The values of r + s and r · s are sometimes irrational.
The value of r + s is sometimes irrational, and the value of r · s is never irrational.
The values of r + s and r · s are never irrational.
The value of r + s is always irrational, and the value of r · s is sometimes irrational.
The value of r + s is always irrational, and the value of r · s is never irrational.
The values of r + s and r · s are always irrational.
The value of r + s is never irrational, and the value of r · s is always irrational.
The value of r + s is sometimes irrational, and the value of r · s is always irrational.
Answer:
Below.
Step-by-step explanation:
The value of r + x is always irrational.
The value of r. s is sometimes irrational:
- for example √2 * √3 = √6 which is irrational,
but √3 * √3 = √9 = 3 which is rational.
Write .0043 as a percentage
Answer:
0.43%
Step-by-step explanation:
In order to change a decimal to a percentage, you multiply it by 100. You can also move the decimal point to the right two times. By doing so, you get 0.43%. Someone tell me if I did it wrong please.
What is the area of this composite figure?
Answer:
36.56
Step-by-step explanation:
the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)
You have a jar of marbles in front of you with the following colors: 12 are red, 17 are blue, 8 are yellow, and 13 are white. Suppose you had a larger jar of 250 marbles with the same ratio of colors. What is the probability of selecting either a red or white marble from the larger jar?
Answer: 12+17+8+13=50, meaning that if we wanted to scale the amount of marbles to 250, we would need to multiply by 5.
So, if we multiply each amount of marbles times 5, that would give us:
60 red marbles
85 blue marbles
40 yellow marbles
65 white marbles
now, the probability of selecting a red or white marble from the jar of 250 marbles, you would need to add together the amount of white and red marbles, and divide that by 250.
60 + 65= 125 / 250
Wwe could stop there if the question wants the answer in fractions, and just simplify, but if it needs the answer in a percentage, then you would still divide 125 by 250.
125/250=0.5
0.5 is equal to 50%
(If the fraction needs to be simplified it would be 5/10, which is also 1/2.)
Out of 36 students in history class, three-fourths have signed up a trip to Europe? If there are 28 places available, will there be enough room?
3. What is the median of this data set
Answer:
53.5
Step-by-step explanation:
First, set the numbers out as a data set:
{51 , 51 , 52 , 53 , 54 , 54 , 54 , 55}
The median is the number that is found in the middle of the set. In this case, there are 8 numbers, and the middle numbers are 53 & 54. Find the mean of the numbers:
(53 + 54)/2 = (107)/2 = 53.5
53.5 is your answer.
~
Explain how to derive a formula for sin(A - B + C)
[tex]\textit{Sum and Difference Identities} \\\\ sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta) \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(A-B+C)\implies sin[~(\stackrel{Z}{A-B})~+C]\implies sin(Z+C) \\\\\\ sin(Z)cos(C)+cos(Z)sin(C)\implies sin(A-B)cos(C)+cos(A-B)sin(C) \\\\[-0.35em] ~\dotfill\\\\ \textit{and since we know that}\\\\ sin(A-B)\implies sin(A)cos(B)-cos(A)sin(B)[/tex]
[tex]cos(A-B)\implies cos(A)cos(B)+sin(A)sin(B)\\\\ then \\\\[-0.35em] ~\dotfill\\\\\ [sin(A)cos(B)-cos(A)sin(B)]cos(C)+[cos(A)cos(B)+sin(A)sin(B)]sin(C) \\\\\\ ~\hfill \begin{array}{cllll} sin(A)cos(B)cos(C)-cos(A)sin(B)cos(C)\\\\ +\\\\ cos(A)cos(B)sin(C)+sin(A)sin(B)sin(C) \end{array}~\hfill[/tex]
Together, teammates Pedro and Ricky got 2682 base hits last season. Pedro had 280 more hits than
Ricky. How many hits did each player have?
Answer:
Ricky had 1201 hits and
Pedro hade 1481 hits
Step-by-step explanation:
Let Ricky be 'y'.
Since, Pedro hit 280 mroe than Ricky.
Pedro is 'y+ 280'
Thus,
y + y+ 280 = 2682
2y = 2402
y = 1201
Ricky had 1201 hits and
Pedro hade 1201 + 280 = 1481 hits
Answer:
See below ~
Step-by-step explanation:
Let :
Hits by Ricky = xHits by Pedro = x + 280Solving :
Mentions the sum is 2682x + x + 280 = 26822x = 2402x = 1201Solution :
Hits by Ricky = x = 1201 hitsHits by Pedro = x + 280 = 1201 + 280 = 1481 hits1\2(x-12)=4 what is this
Answer:
1/2x=10
x=20
Step-by-step explanation:
x=5 because 1/2x-6=4
Move the other side and divide 1/2 by 10. dividing by 1/2 is the same as multiplying by 2 so the answer is 20
Answer:
x = 20
Step-by-step explanation:
[tex]\sf \dfrac{1}{2}*(x-12)=4\\\\Multipy \ the \ entire \ equation \ by 2\\\\ 2*\dfrac{1}{2}(x - 12) =2*4\\\\[/tex]
x - 12 = 8
Add 12 to both sides,
x = 8 + 12
[tex]\sf \boxed{x = 20}[/tex]
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = negative 2 x squared + 4
Table A
a
b
c
up or down
y-intercept
-2
0
4
down
(0,-2)
Table B
a
b
c
up or down
y-intercept
4
0
-2
down
(0,4)
Table C
a
b
c
up or down
y-intercept
-4
0
-2
down
(0,-2)
Table D
a
b
c
up or down
y-intercept
-2
0
4
down
(0,4)
a.
Table A
c.
Table C
b.
Table B
d.
Table D
The table that correctly describes the given quadratic equation is table D.
Which table correctly describes the quadratic equation?A general quadratic equation is written as:
[tex]y = a*x^2 + b*x + c[/tex]
The y-intercept is the point (0, c), and the sign of the coefficient a determines if it opens up or down.
If a > 0, then it opens up.If a < 0, then it opens down.In this case, the quadratic equation is:
[tex]y = -2x^2 + 4[/tex]
Then we have:
a = -2b = 0c = 4.The y-intercept is (0, 4), and because a is negative, the parabola opens down.
Then the correct table is table D.
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please help will mark Brainliest!!
Answer:
Option D, [tex]16\ units[/tex]
Step-by-step explanation:
Step 1: Determine the perimeter
[tex]P = 2(l + w)[/tex]
[tex]P = 2(5\ units + 3\ units)[/tex]
[tex]P = 2(8\ units)[/tex]
[tex]P = 16\ units[/tex]
Answer: Option D, [tex]16\ units[/tex]