Answer:
36 cm³
Step-by-step explanation:
Volume of rectangular prism =( L * B * H) or (area * height)
= 12 cm² * 3 cm
= 36 cm³
Answer:
What is the area of the base of the rectangular prism?
18 square centimeters
What is the height of the rectangular prism?
6 centimeters
What is the volume of the rectangular prism?
108 cubic centimeters
Step-by-step explanation:
The science club is experiencing a growth in membership. On average, they are
seeing 2 new members sign up each week. If they started with 10 members which
function, S(x), represents the number of members in the science club after x weeks?
Answer:
S(x)= 10+2^x
Step-by-step explanation:
The correct function which represents the number of members in the science club after x weeks is,
S (x) = 10 + 2ˣ
We have,
The science club is experiencing a growth in membership.
On average, they are seeing 2 new members sign up each week.
Here, they started with 10 members.
Hence, The function S (x) which represents the number of members in the science club after x weeks is,
S (x) = 10 + 2ˣ
Where, x is number of weeks.
Therefore, The function is,
S (x) = 10 + 2ˣ
Learn more about the function visit:
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1)If the coefficient of anyone of the variables is zero, what will be the nature if the equation? 2)What is a solution of a system of equations?
Answer:
1) If the coefficent of any variable is zero then the answer of the variable is 0.
2) There are two answers in a system of equations.
Simplify (1+sqrt3)(2-sqrt3).
Answer:
√3 - 1
Step-by-step explanation:
(1+√3)(2-√3)=2-√3+2√3-3=√3 - 1
Answer:
[tex]-1+\sqrt{3}[/tex]
Step-by-step explanation:
[tex](1+\sqrt{3} )(2-\sqrt{3} )[/tex]
[tex]2-\sqrt{3} +2\sqrt{3} -3[/tex]
[tex]-1+\sqrt{3}[/tex]
A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38, 500). If equal elemental probabilities are assigned, what is
the probability that the number chosen is either less than 29 or odd?
Answer:
[tex]\frac{7}{9}[/tex] OR 77.78%
Step-by-step explanation:
So, we first need to find out how many numbers fit the "less than 29 or odd" group.
This would be: 1, 2, 3, 5, 15, 21, and 29, which is a total of 7 numbers.
Next, we figure out the total amount of numbers in the population.
This would be: 1, 2, 3, 5, 15, 21, 29, 38, and 500, which is a total of 9 numbers.
Finally, we put the first number (7) over the total (9) = [tex]\frac{7}{9}[/tex]
[tex]\frac{7}{9}[/tex] is now able to be written in a percentage, if you need.
The probability is [tex]\frac{7}{9}[/tex] OR 77.78%
The range of which function is (2,00)?
Answer:
the range of the function is ∞
Exactly 1 1/3 yard of ribbon is needed to make a bow. Which of the following lengths of ribbon could be used to make a bow with the least amount remaining?
The answer choice which could be used to make a bow with the least amount remaining is; 1 2/5 yards.
Which Length of ribbon renders the least remainder?It follows from the task content that the amount of ribbon remaining in each case can be evaluated as follows;
For 1 2/5 yards: 1 2/5 - 1 1/3 = 1/15. renders only 1/15 a yard to waste.
For 1 and 1/6 yards would render a waste of 1 1/6 yards since it is not possible to make a ribbon out of it.
1 2/10 yards would render a waste of 1 and 1/5 yards since it is not possible to make a ribbon out of it.
Read more on fractions;
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5662 to the nearest 10
Answer:
[tex]5660[/tex]
Step-by-step explanation:
Rounded to the nearest tenth.
Answer:
5660
Step-by-step explanation:
When finding the nearest 10 u need to start counting from the last figure your zeros and tenth(10) start it
(root6-root5)(root8+root15)
Answer:root10 root3
Step-by-step explanation:since when you look for the square of root six you will get 2*3 then you will look for the root of 8 then you get 2*4 then you get 3*5 after that you multiply all then collect like times
please help!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
C is the correct answer because the other 3 points are not correct when you put the numbers into the equation.
y = 16 + 0.5x
20 = 16 + 0.5(8)
20 = 20
A rectangular field measures 616m by 456m. Fencing posts are placed along it's sides at equal distances. What will be the distance between the posts if they are place as far apart as possible?
Answer: 766.41m
Step-by-step explanation:
Hi, since the situation forms 2 right triangles (see attachment) we have to apply the Pythagorean Theorem for one triangle.
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the diagonal distance between corners of the field, which is the distance between the posts if they are placed as far apart as possible ) and a and b are the other sides.
Replacing with the values given:
c^2 = 616^2 + 456^2
c^2 = 379,456+207,936
c^2 =587,392
c = √587,392
c = 766.41m
So, she is within the area serviced by the tower (20 miles)
Feel free to ask for more if needed or if you did not understand something.
Use the graphing method to solve the equation 5(1/2)^x=30 Round to the nearest thousandth
Answer:
x = -2.585
Step-by-step explanation:
You will have to plug this into your graphing calculator.
In y=, type 5(1/2)^x in the Y1 and type 30 in Y2.
When you hit 2nd trace and hit find intersections, you will get (-2.585, 30).
The answer is x = -2.585
HELP ME PLEASE WHAT IS THE ANSWER OF THE FRACTIONS
-2 1/5
at least I think so lol
Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x. Joey's first step was to rewrite the equation as 20x - 42 = 18 while Nolan's first step was to rewrite the equation as 13x = 60 - 7x. Who is correctly applying the addition property of equality in the first step of his work? A. Only Joey B. Only Nolan C. Both Joey and Nolan D. Neither Joey nor Nolan
Answer:
Correct option: C.
(Both Joey and Nolan)
Step-by-step explanation:
The step Joey did is:
Add 7x to both sides of the equation
Then, he got:
13x - 42 + 7x = 18 - 7x + 7x
20x - 42 = 18
The step Nolan did is:
Add 42 to both sides of the equation
Then, he got:
13x - 42 + 42 = 18 - 7x + 42
13x = 60 - 7x
So both of them used correctly the addition property of equality in the first step of their work.
Correct option: C.
what is the interquartile range(IQR) of the data set represented by this box plot?
A.37
B.17
C.5
D.22
Answer:
Answer:22
Step-by-step explanation:
E is in the corner by 10.5 on question 9
Answer:
see below
Step-by-step explanation:
7. The similar rectangles are W and Z.
8. EF = 18 * 1.8 = 32.4
9. BD = 20 / 2.5 = 8.
someone do this thanks
Answer:
2
Step-by-step explanation:
12-2= m(2+3)
m= 10/5=2
a family of 8 has 3 of them being males what proportion of the family is female
Answer: not very sure but i think that may be 5
Step-by-step explanation:
How many cubes are needed to build the base of this structure?
A.6
B.3
C.5
D.4
Answer: C.5
The answer is 5.
Why is there a twenty character minimum on brainly? what a stupid idea
I agree with the other person. The answer is C 5 which can be shown in the diagram below.
The red outlines mark these blocks. Note that the upper two red blocks in the far right portion are underneath a set of blocks that are on the second story of this "building" of sorts.
Arnold always sits in the second row of seats in his classroom. If there are 5 rows of seats behind Arnold and each row has 6 seats, how many seats are in the classroom?
Answer:
42 Seats.
Step-by-step explanation:
If Arnold is in the second row and there are 5 rows behind him, there are 7 rows because 2 + 5 equals 7.
So then, you multiply 6 times 7 since there are 7 rows and 6 seats in each row. And that equals 42.
Answer:
b:42
Step-by-step explanation:
If you wanted to build a raised garden bed that was 4ft by 4 by 1
How many bags of dirt do you need to fill it right up to the top.The dirt comes in 0.75 cubic feet per bag
Answer:
22 bagssss i am right because i did 4 time 4 times 1 and got 16 and then i divided that by 0.75 and got 21.33333 and since you can't get a 0.3333333 of a bag you have to get one extra so it would be 22
Step-by-step explanation:
Points A and B lie on a circle with center O such that
the length of minor arc AB is 1/3 the circumference of
the circle. What is the degree measure of central angle
АОВ ?
A. 45
B. 60
C. 90
D. 120
Answer:
D. 120
Step-by-step explanation:
1/3*360= 120
Option D
PLEASE HELP - PLEASE SHOW WORK Given the following functions, find each of the values: f(x)=x^2−7x+6 g(x)=x−1 (f+g)(−5)= ______ (f−g)(4)= ______
Answer:
(f+g)(-5) = 60(f-g)(4) = -9Step-by-step explanation:
These are the values we will need:
f(-5) = (-5)^2 -7(-5) +6 = 25 +35 +6 = 66
f(4) = 4^2 -7(4) +6 = 16 -28 +6 = -6
g(-5) = -5 -1 = -6
g(4) = 4 -1 = 3
__
(f+g)(-5) = f(-5) +g(-5) = 66 +(-6)
(f+g)(-5) = 60
__
(f-g)(4) = f(4) -g(4) = -6 -3
(f-g)(4) = -9
What is the equation for ⨀C?
Answer:
A
Step-by-step explanation:
r^2 = (x - k)^2 + (y - h)^2
Work Shown:
(h,k) = (2,-2) is the center. So h = 2 and k = -2
r = 4 is the radius. We go 4 units from the center C to point P
Therefore,
(x-h)^2 + (y-k)^2 = r^2
(x-2)^2 + (y-(-2))^2 = 4^2
(x-2)^2 + (y+2)^2 = 16
which is the right answer because i am in the middle of two and can not dicide which to chose
Answer:
XZ
Step-by-step explanation:
Line segments are straight lines, not curves.
The only line is XZ, the rest are arcs
Answer:
Step-by-step explanation:
I believe that it’s yz
help me with this problem and show your work
Answer:
10x - 15
Step-by-step explanation:
let Emily's be x hrs
Abbey = 3x-5 hrs
Nathan = 2 * Abbey's time= 2(3x-5)
= 6x-10 hrs
Expression= x + 3x-5 + 6x-10 = 10x - 15 hrs
Therefore, 10x - 15 is the EXPRESSION THAT DENOTES THE TOTAL NUMBER OF HOURS SPENT FOR DOING HOMEWORK COLLECTIVELY.
tell me weather 16641 is a perfect square by division method an please show me the solution too
Answer:
yes
Step-by-step explanation:
you see we need to make pairs and then we divide each one by square numbers and I have given picture
Answer:
Yes, the number 16,641 is a perfect square.
Step-by-step explanation:
16641 is the 129th perfect square number
__________________________________________
1 2 9
1 1 66 41
1
22 66
44
249 22 41
22 41
258 0
Number = 16641
Square Root = 129
________________________________
Step-1 :
Make pair of digits of given number starting with digit at one's place. Put bar on each pair.
1 66 41
Step-2 :
Now we have to multiply a number by itself such that the product ≤ 1
Here 1×1=1≤1, So divisor is 1 and quotient is 1. Now do the division and get the remainder.
1
1 1 66 41
1
0
Step-3 :
Now , we have to bring down 66 and quotient 1 is multiplied by 2 becomes 2, which is starting digit of new divisor
1
1 1 66 41
1
2 66
Step-4 :
2 should be the digit at one's place of new divisor because when 22 is multiplied by 2 we get 44.
So new divisor is 22 and next digit of quotient is 2. Now do the division and get the remainder.
1 2
1 1 66 41
1
22 66
44
22
Step-5 :
Now , we have to bring down 41 and quotient 12 is multiplied by 2 becomes 24, which is starting digit of new divisor
1 2
1 1 66 41
1
22 66
44
24 22 41
Step-6 :
9 should be the digit at one's place of new divisor because when 249 is multiplied by 9 we get 2241.
So new divisor is 249 and next digit of quotient is 9. Now do the division and get the remainder.
1 2 9
1 1 66 41
1
22 66
44
249 22 41
22 41
0
Answer: 129 (proof 129^2) = 16,641 or 129 x 129 = 16,641
______________________________
Second Solution shortcut:
A perfect square is a number that can be expressed as the product of two equal integers.
The only way to accurately calculate if a number is a perfect square is to find the factors. Before we go through the trouble of finding the factors, there is a quick trick you can use to help determine if you need even need to do the extra work.
Try these steps first:
A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.
Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.
All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9.
Let's try it...
Step 1:
What is the last number of 16,641? It is this number: 16641. The answer is 1. Is 1 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?
Answer: NO, 1 is not in the list of numbers that are never perfect squares. Let's continue to the next step.
Step 2:
We now need to obtain the digital root of the number. Here's how you do it:
Split the number up and add each digit together:
1 + 6 + 6 + 4 + 1 = 18
If the answer is more than one digit, you would add each digit of the answer together again:
1 + 8 = 9
What is the digital root of number 16,641?
Answer: 9
Step 3:
So now we know the digital root of 16,641 is 9. Is 9 in the list of digital roots that are always a square root (1, 4, 7 or 9)?
Answer: YES, 9 is in the list of digital roots that are always perfect squares. We can conclude that 16,641 could be a perfect square!
Factoring
OK, so now we know that 16,641 could be a perfect square. We have to find the factors of the number to be sure.
Here are all of the factors of 16,641:
1 x 16,6413 x 5,5479 x 1,84943 x 387129 x 129
Highlighted in orange above is the factor combination that makes 16,641 a perfect square. Do you see why? A number can only be a perfect square if the product of two exactly the same numbers is equal to the original number.
Here's the proof: 129 x 129 = 16,641
Find the missing factor
Answer:
The missing factor is (9s+1)
Step-by-step explanation:
The missing factor is (9s+1) because of the following
(9s^2 + s) + (18s+2)
If we factor out s from 9s^2+s, we get s(9s+1).
If we factor out 2 from 18s+2, we get 2(9s+1)
putting these together, we get s(9s+1) + 2(9s+1). Factoring out the common term of 9s+1, we get (9s+1)(s+2). therefore, the missing factor is 9s+1
A class has 18 students. The teacher asks how many students in the class have pets and finds 5/9 of the students have pets. How many students have pets? * 1 point 9 8 10 11
Answer:
9 students
Step-by-step explanation:
5/9 of 18 is 10
a card is drawn at random from a pack of 52 playing cards. find the probability tht the card drawn is neither an ace nor a king
Answer:
[tex]\frac{11}{13}[/tex]
Step-by-step explanation:
There are 4 aces and 4 kings.
[tex]\frac{8}{52} =\frac{2}{13}[/tex]
Now just subtract that from 1.
[tex]\frac{11}{13}[/tex]
A shop has a sale that offers 20% off all prices. On the final day they reduce all the sale prices by 25%. Linz buys a radio on the final day. Work out the overall percentage reduction on the price of the radio.
Answer:
40%
Step-by-step explanation:
You can plug in 100 as the price of the radio to see how much the price decreased.
20% off of 100 will make it $80.
Then, with the 25% discount, it will be worth $60.
So, $40 was taken off, and 40÷ 100 is 0.4, so the overall percentage reduction was 40%