Answer:
[tex]3\sqrt{6}\times \:2\sqrt{3}=18\sqrt{2}[/tex][tex]5\sqrt{12}+3\sqrt{3}=13\sqrt{3}[/tex]Step-by-step explanation:
1)
Given the expression
[tex]3\sqrt{6}\:\times \:2\sqrt{3}[/tex]
[tex]\mathrm{Factor\:integer\:}6=3\times \:2[/tex]
[tex]=3\sqrt{3\times \:2}\times \:2\sqrt{3}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}[/tex]
[tex]=3\sqrt{3}\sqrt{2}\times \:2\sqrt{3}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a[/tex]
[tex]=3\times \:2\times \:3\sqrt{2}[/tex]
[tex]=18\sqrt{2}[/tex]
Thus,
[tex]3\sqrt{6}\times \:2\sqrt{3}=18\sqrt{2}[/tex]
2)
Given the expression
[tex]5\sqrt{12}+3\sqrt{3}[/tex]
[tex]\:=\:5\sqrt{\left(4\right)\left(3\right)}+3\sqrt{3}[/tex]
[tex]=\:5\times 2\sqrt{\left(3\right)}+3\sqrt{3}[/tex]
[tex]=10\sqrt{3}+3\sqrt{3}[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:10\sqrt{3}+3\sqrt{3}=13\sqrt{3}[/tex]
[tex]=13\sqrt{3}[/tex]
Thus,
[tex]5\sqrt{12}+3\sqrt{3}=13\sqrt{3}[/tex]
Evaluate 6+ 4/a + b/3 when A = 4 and when be = 3
URGENT I ONLY HAVE 5 MINUTES LEFT I WILL GIVE YOU 42 points
Jake's mom is making peanut butter cookies with her chocolate chips. In her first batch, she used the ratio of 2:2 for the number of cups of chocolate chips to the number of peanut butter chips. In her second batch she used the ratio of 3:1 for the number of cups of chocolate chips to the number of cups of peanut butter and made the same number of cookies in the first batch. Jake made the following tape diagrams for his mom to reference. If her first batch used 4 cups of peanut butter chips, how many cups of chocolate chip did jakes mom use for the second batch?
Answer: i need help on this one to
Step-by-step explanation:
Answer:
6 just trust me
Step-by-step explanation:
segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3). segment YZ was dilated at a scale factor of 3 from the origin. Which statement describes the pre-image?
Answer:
YZ is located at Y (0, 1) and Z (-2, 1) and is one-third the size of Y'Z'.
Step-by-step explanation:
Since Y'Z' was dilated from the origin at a scale factor of 3, you can divide its X and Y coordinates by 3 to find the coordinates of YZ.
The statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.
What is dilation?The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.
The question is incomplete.
The complete question is:
Segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3). segment YZ was dilated at a scale factor of 3 from the origin. Which statement describes the pre-image?
segment YZ is located at Y (0, 9) and Z (−18, 9) and is three times the size of segment Y prime Z prime.segment YZ is located at Y (0, 3) and Z (−6, 3) and is the same size as segment Y prime Z prime.segment YZ is located at Y (0, 1.5) and Z (−3, 1.5) and is one-half the size of segment Y prime Z prime.segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime.As we know, in the dilation image of the two-dimensional figure can be larger or smaller depending on the dilation factor.
We have:
segment Y prime Z prime has endpoints located at Y'(0, 3) and Z'(−6, 3).
After dilation:
Y (0, 1) and Z (−2, 1)
Thus, the statement fourth "segment YZ is located at Y (0, 1) and Z (−2, 1) and is one-third the size of segment Y prime Z prime" is correct.
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How many solutions are there for the system shown below?
2x² + y2 = 33
x2 + y + 2y=19
Answer:2 max because exponet
Can someone help me with this question
Ten voltage measurements in a circuit have produced the following values: 49.3, 50.1, 48.9, 49.2, 49.7, 50.5, 49.9, 49.3, 49.8, 50.2 If the standard deviation for the above data set is 0.50 V, Which of the values can be rejected:
Answer:
48.9 and 50.5 are rejected.
Step-by-step explanation:
Since the standard deviation shows the spread of the values of the voltages, we need to find the mean of the values and use the standard deviation to find the minimum and maximum voltage allowed.
So mean μ = Σx/N where x = individual values of voltage and N = number of values = 10
So, μ = Σx/N
= (49.3 + 50.1 + 48.9 + 49.2 + 49.7 + 50.5 + 49.9 + 49.3 + 49.8 + 50.2)/10
= 496.9/10
= 49.69
≅ 49.7 V
So, the acceptable values of voltage are in the range μ ± σ where σ = standard deviation = 0.50 V.
So, the acceptable values of voltage are in the range 49.7 ± 0.50 V
So, minimum value = 49.7 V - 0.50 V = 49.2 V
and maximum value = 49.7 V + 0.50 V = 50.2 V
So any voltage outside the range 49.2 V ≤ x ≤ 50.2 V is rejected.
There are two values outside this range which are 48.9 and 50.5. So these two values are rejected.
a shoes store in philadelphia pays 28.75 for a pair of shoes. the store marks the item up 35%. the local sales tax is 8%. how much do the shoes cost?
Answer:
$41.11
Step-by-step explanation:
28.75 + (28.75 x 0.35) + (28.75 x 0.08)
Please mark brainliest and have a nice day
Full answer is 41.1125
Which of the following pairs of functions are inverses of each other?
Answers:
(C)
step by step Explanation:
find an antiderivative F(x) with F'(x) = f(x) = 11+(21x^2)+(21x^6) and F(1)=0
Hi! Can someone help, please with a cherry on top?
Answer:
b bbb bbhdixbxidndidjd
boy weighs 55 pounds. How much does he weigh in kilograms? Use the following conversion: 1 kilogram is 2.2 pounds.
Answer:
24.9476
Step-by-step explanation:
55= 24 kilo. but since its 2.2 pounds its gonna be the answer i said (i think) Hope this helps
Answer:
24.94
Step-by-step explanation:
this is the answer
What is the circumference of this circle?
Answer:
12.5663
Step-by-step explanation:
circumference = pi x diameter
d= 2r
d = (2)2
d=4
c=4pi
c=12.5663
Answer:
Option D : 12.56 km
........!
30 POINTS PLEASE ANSWER ASAP!! The dimensions of a rectangular prism are shown below: Length: 2 1/4 Width: 1 foot Height: 1 1/4 The lengths of the sides of a small cube are 1 /4 foot each. Part A: How many small cubes can be packed in the rectangular prism? Show your work. (5 points) Part B: Use the answer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 points)
Answer:
84 cubes
Step-by-step explanation:
Given,
The dimension of the rectangular prism are,
Hence, the volume of the prism,
Now, the volume of a cube = side³,
If side = ft,
Then the volume of each cube,
Hence, the number of cubes that can be packet in the prism
Answer:
Step-by-step explanation:
Answer:
84 cubes
Step-by-step explanation:
Given,
The dimension of the rectangular prism are,
Hence, the volume of the prism,
Now, the volume of a cube = side³,
If side = ft,
Then the volume of each cube,
Hence, the number of cubes that can be packet in the prism
Help any one plz thank you
I believe its the first one, think of it like a mirror you would flip the shape which would do make x negative and y positive, sorry if im wrong
Find the perimeter of a rectangle with the length of 4 cm and a width of 7 cm.
Answer:
22 cm
Step-by-step explanation:
The following polynomial has factors:
P(x) = x3 + 3x2 - x - 3.
x - 1
x + 1
x - 3
Answer:
(x-1)(x+1)(x+3)
Step-by-step explanation:
first you group the 2 parts of the equation
{(x^3) + (3x^3)} {-x - 3}
you can take out x squared from the first group and are left with x+3 and you can take out -1 from the second group also leaving you with x+3. Because these groups match it means that x+3 is a factor.
x^2(x+3) -1(x+3)
combine them
(x^2-1) (x+3)
x squared minus one can be simplified more to (x-1) and (x+1) so the final answer is (x-1)(x+1)(x+3)
PLEASE HELP MEEE!!! What is the experimental probability that Mr. Fell's class rolled a 3?
Probability = the number of ways of achieving success (getting the desired outcome).
P(E) = event with the desired outcome/total no. of events
P(E) = 7/60
A family buying school clothes for their two children spends $48.46 at one store,$ 41.92 at another, and $22.97 at a third store. What is the total amount spent at the three stores?
Answer:
113.35
Step-by-step explanation:
Solve the matrix equation AX=B for X.
Answer:
I think this is the solution
By calculating the inverse of matrix, X = [tex]\left[\begin{array}{ccc}0.5&2\\1.5&1\\\end{array}\right][/tex].
What is inverse of matrix?The inverse of matrix is another matrix, which on multiplying with the given matrix gives the multiplicative identity.
[tex]A = \left[\begin{array}{ccc}3&1\\4&2\end{array}\right] \\\\B = \left[\begin{array}{ccc}3&7\\5&10\end{array}\right] \\\\AX = B\\\\X = A^{-1}B\\ \\A^{-1} = adjA/|A| = \left[\begin{array}{ccc}1&-0.5\\-2&1.5\end{array}\right] \\\\X = \left[\begin{array}{ccc}0.5&2\\1.5&1\end{array}\right][/tex]
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The table shows the price for different numbers of cupcakes:
Answer:
Ok what are we supposed to do?
Step-by-step explanation:
In a baseball game Joey took 2,900 shots and sored 39% of the time how manytimes did Joey score?
Answer:
1131
Step-by-step explanation:
2900 x .39 = 1131
4. To ship a package, it costs $5 for shipping supplies and $0.75 for each pound the piece weighs. If Tori
wants to ship a 12-pound package, how much would it cost?
In 1983, a hardcover dictionary cost $145.75. If the CPI is currently 209, what would a hardcover dictionary cost today? Round to the nearest cent.
a. $354.75
b. $304.62
$254.75
d. $209.00
Answer:
b. $304.62
Step-by-step explanation:
Just took the test and got it right
The cost of the hardcoer dictionary today given the CPI is $304.62.
What is the consumer price index?The consumer price index measures the percentage in the price of a basket of goods. It is used to measure inflation.
Cost of the hardcoer dictionary today = $145.75 x (209/100) = $304.62
To learn more about, consumer price index, please check: https://brainly.com/question/26382640
please help with this. I got the first choice when I picked wrong so i would like help on a second attempt. thanks
Answer:
4
Step-by-step explanation:
im pretty sure that's the right answer!! let me know if I'm right
if y varies jointly as x and x = 33 when y = 22, find x when y = 32
Answer:
answer is 43
Step-by-step explanation:
Help with this math problem right answers only points and brainlest!
Answer: it is c because there is 4 balls for red and 3 balls for clear not the same there is more possibility for red
Step-by-step explanation:
Answer:
The answer is C.
Which expression can be used to find 75% of 60?
75% of 60
25%
25%
25%
0.25
15
0.25
15
* 0.25
15
25%
0.25
15
0 (0.25)(60)
0 (0.25)(15)
O (3)(15)
O (360)
Answer:
(3)(15)
Step-by-step explanation:
75% of 60=60 x 0.75
=(3)(15)
Answer:C
Step-by-step explanation:
C
A.
B.
C.
D.
(I think it’s C)
Answer:
The answer would be C. I believe it is C. The force believes it is C. So put C.
Help i need help if you answer right then i put brainliest.
Answer:
17.5-b=12.5 (b=5)
3/2+b=5 (b=7/2)
b+6=15 (b=9)
27 / b= 3 (b=9)
4 x b = 14 ( b=7/2)
Step-by-step explanation: