Answer:
The GCF is 2
Step-by-step explanation:
Here, we want to find the greatest common factors of the two terms
We have the terms written in terms of the products of their multiples as follows;
4c^3 = 2 * 2 * c * c* c
6m^2 = 2 * 3 * m * m
As we can see, the greatest common factor of the two is simple the value 2
Find the Distance rounded to a whole number.
Give the distance between (2,1) and (5,2)
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
The distance between two points can be found using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex].
This is because, if you connected your two points with a line, that line could be defined as the hypotenuse of a right triangle. the base of that triange is the distance between the x coordinates ([tex]x_{2} -x_{1}[/tex]) and the height by the distance between the y coordinates ([tex]y_{2} - y_{1}[/tex]). Sine these are the sides of the right triangle, they are equal to a and b above (c is the hypotenuse that we are trying to find). So, we calculate the two distances above and get 3 and 1 (for x and y respectively). 3^2 + 1^ 2 =10. So the answer is square root 10.
only answer 9 or 11 or both please I want to sleep :(
Answer:
9 11
But are you okay? It spells 9-1-1.
TRI=ANG GN= HELP ME with this
Answer:
Sup bro your answer is 17
Use the probability distribution to complete parts (a) and (b) below.
The number of school-related extracurricular activities per student
Activities 0 1 2 3 4 5 6 7
Probability 0.059 0.121 0.164 0.179 0.212 0.127 0.086 0.052
(a) Find the mean, variance, and standard deviation of the probability distribution.
The mean is 3.3
(Round to one decimal place as needed.)
The variance is
(Round to one decimal place as needed.)
this could take a while to think about but uhh i dont know,
The variance of the probability distribution is 3.4.
To find the variance of the probability distribution, calculate the following:
1. The squared deviation of each activity value from the mean.
2. The product of each squared deviation and its corresponding probability.
3. The sum of these products.
1. Calculate the squared deviation of each activity value from the mean (3.3):
[tex]\[ (0 - 3.3)^2 = 3.3^2 = 10.89 \]\\[/tex]
[tex]\[ (1 - 3.3)^2 = (-2.3)^2 = 5.29 \][/tex]
[tex]\[ (2 - 3.3)^2 = (-1.3)^2 = 1.69 \][/tex]
[tex]\[ (3 - 3.3)^2 = (-0.3)^2 = 0.09 \][/tex]
[tex]\[ (4 - 3.3)^2 = (0.7)^2 = 0.49 \][/tex]
[tex]\[ (5 - 3.3)^2 = (1.7)^2 = 2.89 \][/tex]
[tex]\[ (6 - 3.3)^2 = (2.7)^2 = 7.29 \][/tex]
[tex]\[ (7 - 3.3)^2 = (3.7)^2 = 13.69 \][/tex]
2. the product of each squared deviation and its corresponding probability:
[tex]\[ 0.059 \times 10.89 = 0.64351 \][/tex]
[tex]\[ 0.121 \times 5.29 = 0.63909 \][/tex]
[tex]\[ 0.164 \times 1.69 = 0.27716 \][/tex]
[tex]\[ 0.179 \times 0.09 = 0.01611 \][/tex]
[tex]\[ 0.212 \times 0.49 = 0.10388 \][/tex]
[tex]\[ 0.127 \times 2.89 = 0.36703 \][/tex]
[tex]\[ 0.086 \times 7.29 = 0.62814 \][/tex]
[tex]\[ 0.052 \times 13.69 = 0.71188 \][/tex]
3. Sum up these products to get the variance:
[tex]\[ \text{Variance} = 0.64351 + 0.63909 + 0.27716 + 0.01611 + 0.10388 + 0.36703 + 0.62814 + 0.71188[/tex]
= [tex]3.38680 \][/tex]
=3.4
So, the variance is 3.4.
Learn more about variance here:
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bro i need this
(x − 5)^2 = x^2 − 25
Answer:
x=5
Step-by-step explanation:
x^2+25-10x = x^2-25
-x^2 -x^2
25-10x = -25
-25 -25
-10x = -50
x=5
lets check
(5-5)^2 = 5^2-25
0^2 = 25-25
0 = 0
Answer:
x = 5
Step-by-step explanation:
(x - 5)^2 = (x - 5) (x - 5) =
x^2 -10x + 25 = x^2 - 25
x^2 - x^2 - 10x + 25 = - 25 (x^2 - x^2 = 0)
- 10x + 25 = - 25
- 10x = - 25 - 25
x = - 50/- 10
x = 5
What do you call raising a base to the exponent 2?
Answer:
When exponents are raised to another exponent, the exponents are multiplied. (a m) n = a (m × n) EX: (2 2) 4 = 4 4 = 256 (2 2) 4 = 2 (2 × 4) = 2 8 = 256
Step-by-step explanation:
What is 9 - 2 to the power 2 to the power of 4 / 4 + 3 to the power of 5
Answer:
what is 3x to the power of 2 ×4x to the power of 5
Given: 5n - 42 = 12n; Prove: n = -6
Statements and reasons
Answer:
yes n is -6
Step-by-step explanation:
b/c 5(-6)-42=12(-6)
-30-42=-72
-72=-72
Consider 2 3/4 divided by 1/8
(A) write a real world problem for the division
(B) create and explain a model for the division
(C) find the quotient show your work or explain your reasoning
Answer:
Part A. Mary has 2 3/4 cups of sugar to make cookies. The recipe requires 1/8 cup of sugar for one portion of cookies. How many portions of cookies can Mary make?
Part B.
portions.
Part C. The quotient is 22 and this number represents the amount of portions of cookies that Mary can make.
Step-by-step explanation:
Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
• They are perpendicular because their slopes are
negative reciprocals.
They are not perpendicular because their slopes are
equal.
O They are not perpendicular because their slopes are
not negative reciprocals.
Answer:
The answer is A
Step-by-step explanation:
List at least 4 common variable expenses someone might have each month.
Answer:
water, food, toliet paper, toothpaste
Step-by-step explanation:
Rewrite y - 3 = -9(x - 1) in standard form.
Answer:
9x + y = 12
Step-by-step explanation:
Hi there!
We are given the equation y - 3 = -9(x-1) and we want to write it in standard form
The equation is currently in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1 , y_1)[/tex] is a point and m is the slope. Standard form is ax + by = c, where a, b, and c are free integer coefficients
We can first convert the equation from point-slope form into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We can distribute 9 to every term on the right side:
y - 3 = -9x + 9
Now add 3 to both sides
y = -9x + 12
Now the equation is in slope-intercept form (y=mx+b). To make it standard form, add 9x to both sides, to make the form ax + by = c .
9x + y = 12
Hope this helps!
√45 * √96
Please show your work on how you got the answer!
Answer:
45=6.7, 96=9.79
Step-by-step explanation:
because (6.7)6.7 =45 that’s how square root works… squared means two times a number
-3 (x + 2) + 9 + 7x = 4x + 5 – 2
Step-by-step explanation:
- 3 ( x + 2 ) + 9 + 7x = 4x + 5 - 2
- 3x - 6 + 9 + 7x = 4x + 5 - 2
- 3x + 7x + 9 - 6 = 4x + 5 - 2
4x + 3 = 4x + 3
Please Help!! I really need it!
Answer:
1. 2:1
2. 1:2
3. 2:1:3
4. 11:4
5. 2:1
Answer:
Step-by-step explanation:
1) Apples : Mangoes = 20 : 10 = 2 :1
2) Ponkans : Guavas = 15 : 30 = 1 : 2
3) Apples : Mangoes : Guavas = 20 : 10 : 30: = 2 : 1 : 3
4) All fruits = apples + mangoes + ponkans + guavas = 20 + 10 + 15 + 30 = 75
All fruits : Apples = 75 : 20 = 15 : 4
4) apples + guavas = 20 + 30 = 40
Mangoes + Ponkans = 10 + 15 = 25
apples + guavas : mangoes + Ponkans = 40 : 25 = 8 : 5
There are 20 black, 15 white, 12 green, 12 red, 9 blue, and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color
Answer:
13
Step-by-step explanation:
Because the problem says to make sure we have at least 3 candies of the same color, we have to think about the worst-case scenario. To get the worst-case scenario, we need to have the largest amount of candies taken before fulfilling the statement that 3 candies have the same color, so we take 2 black, 2 white, 2 green, 2 red, 2 blue, and 2 yellow candies. This sums to 12, and you have the worst case scenario here. But wait, you've picked only 2 of each candy. You have to pick one more candy to make sure you have 3 candies of the same color, so the answer is 12 + 1 = 13 candies.
A store is having a sale where all shoes are discounted by 25%. Diego has a coupon for 2% off of the regular price for one pair of shoes. The store first applies the reduced price. If Diego pays $24.38 for a pair of shoes, what was the original price before the sale and without the coupon?
Answer:
28.47 sorry if I am wrong
Step-by-step explanation:
The difference of a number and its successor
Answer:
1
Step-by-step explanation:
The difference between a number and its successor is 1
Plot the point (11, 7) on the coordinate plane.
Answer:
Step-by-step explanation:
When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form [tex](x,y)[/tex].
So, first, we need to plot 11 on the [tex]x[/tex]-axis (the line going left to right, horizontal) then plot 7 on the [tex]y[/tex]-axis (the vertical line)
So we first go 11 units to the right along the [tex]x[/tex]-axis then go up 7 units along the [tex]y[/tex]-axis.
Hope this helped.
Plot a point on a coordinate plane just remember that the coordinate given is of the form . Follow this simple steps and the image given below.
Identity the variable range .Determine the scale of the graph.Number and label each axis and title of the graph.Show the positive and negative x-axis and y-axisFirst , find the value of x on the x-axis . give x = 11 .Find the value of y on the y-axis . given y = 7.Mark the point x=11 in the positive x - axisMark the point y=7 in the positive y - axis,.After this meet the points by the help of scale and write the co-ordinates.For more details about graph plot click the link given below.
https://brainly.in/question/10164601
supose that the half-life of a cesium is 30 years. If there were initially 1000g of the substance,
a) give an exponential model for the situation
b) how much will remain after 200 years
After 200 years, 9.84 grams of Cesium would remain.
Let N represent the amount of substance after t years
The half-life of a cesium is 30 years., hence, this can be represented by exponential function:
[tex]N(t)=ab^t[/tex]
where a is the initial value and b is the multiplier.
There were initially 1000g of the substance
a) The exponential model for this situation is:
[tex]N(t) =1000(\frac{1}{2} )^{\frac{1}{30} t}\\\\N(t) =1000(\frac{1}{2} )^{\frac{t}{30}[/tex]
b) After 200 years (t = 200), the amount of Cesium remaining is:
[tex]N(200)=1000(\frac{1}{2} )^\frac{200}{30} \\\\N(200) = 9.84g[/tex]
Hence after 200 years, 9.84 grams of Cesium would remain
Find out more at: https://brainly.com/question/24710827
Help, somebodyyyyyy aaaaa I need an explanation :<
Answer:
Step-by-step explanation:
wht grade is this?
−4 + 20 > −8 what the answers
Answer: -20
Step-by-step explanation: plz mark me brainliest please?
write a number in standard form where 7 is in the tenths place
Answer:
30.75
Step-by-step explanation:
Hope this helps!
Quick I need an answer PLEASE!! What is 18,931 ÷83
Answer:
228.08433734939759036144578313253.....
what is 47+50- __ - 32
This question doesn't make sense.Are you sure you wrote it correctly?
is it
A) X || Z
B) A T Z
C) A || B
D) X T A
Answer:
Well I would say the answer is A
Step-by-step explanation:
Because there is no metion of line A
Hope this helps have an awsome day!
Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart below.
Given: m∠LOM = m∠JKI;
m∠MON = m∠IKH
Prove: m∠LON = m∠HKJ
Answer:
what is the problems from
Can you solve this equation with work? I can't figure out how to show my work for this one.
2(y+x+14) = 14 + 2x
2(y + x + 14) = 14 + 2x
2(y) + 2(x) + 2(14) = 14 + 2x
2y + 2x + 28 = 14 + 2x
2y + 2x - 2x = 14 - 28
2y = -14
2y / 2 = -14 / 2
y = -7
If a=7 and b=2 what is 2a+3b ?
Answer:
20
Step-by-step explanation:
You basically just plug in the numbers given for the variables and solve.
2(7)+3(2) = 14+6= 20
A flash disk has the capacity of storing 1 megabyte of data. How many kilobytes of data can be stored in the same flash disk
For this sort of problem, you need to be familiar with prefixes.
So:
megabyte = [tex]1 *10^6[/tex] bytes
kilobyte = [tex]1*10^3[/tex] bytes
and a regular byte would just be [tex]1[/tex]
Now, you will need to do a conversion:
[tex]1megabyte*\frac{1*10^6bytes}{1megabyte}*\frac{1*10^{-3}kilobyte}{1byte}[/tex]
I'm going to explain this just in case, but we convert megabytes to regular bytes in the first half by using the information I gave you above. (In one megabyte, there are [tex]1*10^6[/tex] bytes!)
In the second fraction thought, remember one kilobyte is [tex]1*10^3[/tex] bytes. However, you usually only see one of each thing on the bottom of fractions, so you need to add a negative sign to the 3. (technically you could just do [tex]\frac{1kilobyte}{1*10^3bytes}[/tex], but I think it is more correct to do write it out how I did).
*** They do equal the same thing though! Do whichever way is easier for you!
Now, your answer should be:
[tex]10^3[/tex] kilobytes (1000 kilobytes)
Hope this helped!