Answers
Answer:
Option BStep-by-step explanation:
The next step is the result of calculating the square roots:
[tex]4^{1/2} = 2[/tex]and
[tex]36^{1/2} = 6[/tex]This will make the step:
2 · [tex]3^{1/2}[/tex] + 6 · [tex]3^{1/2}[/tex] = 8 · [tex]3^{1/2}[/tex]Correct choice is B
eksponent
[tex]\sqrt[n]{x^n} = x[/tex][tex]\sqrt{x} = x^{1/2}[/tex]—
[tex] = 4^{ \frac{1}{2} } .3 ^{ \frac{1}{2} } + \sqrt{36} \times 3^ \frac{1}{2} [/tex]
[tex] = \sqrt{4} \times 3 {}^{ \frac{1}{2} } + 6 \times 3 {}^{ \frac{1}{2} } [/tex]
[tex] = 2 \times 2 + 6 \times 3 {}^{ \frac{1}{2} } [/tex]
[tex] = 4 + 6 \times \sqrt{3} [/tex]
[tex] = 4 + 6 \sqrt{3} [/tex]
Related Questions
Which expressions are equivalent? Check all that apply. 39 34 –92 99 Which expressions are equivalent? Check all that apply. 39 34 –92 99 811
Answers
Answer:
3 to the fourth power and 81 to the first power.
Step-by-step explanation:
i took he quiz
The equivalent expressions are 3^4 and -9^2
How to determine the equivalent expressions?To determine the equivalent expressions, we simply solve the options.
So, we have:
3^9 = 19683
3^4 = 81
-9^2 = 81
9^9 = 387420489
From the above computation, we have:
3^4 = 81 and -9^2 = 81
Hence, the equivalent expressions are 3^4 and -9^2
Read more about equivalent expressions at:
https://brainly.com/question/2972832
Which is the graph of f(x) = 100(0.7)?
Answers
Answer:
70; The following graph is simply a horizontal line at the value 70.
Step-by-step explanation:
Answer:
Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Step-by-step explanation:
Edge
Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?
Answers
Answer:
765
Step-by-step explanation:
1)4.25/100=0.0425
2)0.0425*3600=153
3)153*5=765
solve for c
ad + bc = 2
Answers
Answer:
c = (2 - ad) / b
Step-by-step explanation:
Subtract both sides by ad
bc = 2 - ad
Divide both sides by b
c = (2 - ad) / b
Your average bi-weekly net pay is $489.00. What is 15% of your average monthly net pay? (1 point)
$146.70
$158.93
$160.13
Answers
Bi weekly means you get paid every 2 weeks so you would get two paychecks per month.
Monthly net pay = 489.00 x 2 = $968.00
Multiply monthly by 15%
968 x 0.15 = $146.70
Answer: $146.70
If Your average bi-weekly net pay is $489.00. Your average monthly net pay is:$146.70.
Average monthly net payFirst step
Monthly net pay=$489.00×2
Monthly net pay=$968
Second step
Average monthly net pay:
Average monthly net pay=$968×15%
Average monthly net pay=$146.70
Therefore your average monthly net pay is:$146.70.
Learn more about average monthly net pay here:https://brainly.com/question/25273589
Divide 3m 80cm of ribbon in the ratio of 1/3 : 3/4 : 1/2 what is the result?
Answers
Answer:
80 cm / 180 cm / 120 cm
Step-by-step explanation:
the smallest common multiple of 3, 4 and 2 is 12.
so, to be able to truly compare these fractions we need to bring all denominators to .../12.
1/3 = 4/12
3/4 = 9/12
1/2 = 6/12
in total we have therefore 19 (4+9+6) equally large parts of the ribbon that are then combined :
4 parts for the first segment.
9 parts for the second segment
6 parts for the third segment.
so, one part is
380 cm / 19 = 20 cm
therefore the first segment of the ribbon is
4×20 = 80 cm long
the second segment
9×20 = 180 cm long
the third segment
6×20 = 120 cm long
4/6+1/4 =
Pliss help me
Answers
1/4 can be 6/24
when you add it equals 22/24 simplified into 11/12
Answer:
11/12.
Step-by-step explanation:
The lowest common denominator of 6 and 4 is 12, so we have
4/6 + 1/4
= 4*2 / 6*2 + 1*3 / 4*3
= 8/12 + 3/12
= 11/12.
Juan Carlos grew 2.79 inches last year. Which shows a way to represent the value of the 9 in this number?
Answers
Answer:
0.09
Step-by-step explanation:
hope it helps!!!!!!
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! LOOK IMAGE FOR OPTIONS
Which table represents a direct variation function?
Answers
So answer is the last option (last table)
Write the equation of the line in fully simplified slope- intercept form .
Answers
Y -6=-5(x-0)
Y-6= -5x
Y = -5x + 6
Find the missing lengths of the sides.
A) a = 6^3 ft, b = 6^3 ft
B) a = 12 ft, b = 12 ft
C) a = 6 ft, b = 6 ft
D) a = 6 ft, b = 6^2 ft
Answers
Answer:
The choose B) a=12, b=12
Step-by-step explanation:
sin45= a/12√2 —> a=12
cos 45= b/12√2 —> b=12
I hope I helped you^_^
Help me with the e or how many you can
Please afsp
Answers
Answer:
(a)
sin²A×cos²A+sin⁴A
we will take sin²A as an common factor
so it become
sin²A×(cos²A+sin²A)
sin²A+cos²A=1
sin²A×1=sin²A
(c)
sinA×cotA
cotA= cosA/sinA
sinA×cosA/sinA=cosA
(e)
(1+sinA)²-(1-sinA)²
(a+b)²=a²+b²+2×a×b
(a-b)²=a²+b²-2×a×b
1²+sin²A+2×1×sinA-(1²+sin²A-2×1×sinA)
1+sin²A+2sinA-1-sin²A+2sinA=4sinA
(g)
(cosec²A-1)/cosec²A
cosecA=1/sinA
1/sin²A-1/1/sin²A
(1/sin²A-1)×sin²A
1-sin²A
1=sin²A+cos²A
sin²A+cos²A-sin²A=cos²A
(i)
sqrt(1+tan²A)×sqrt(1-cos²A)
1+tan²A=
1+sin²A/cos²A=
sin²A+cos²A/cos²A
sin²A+cos²A=1
=1/cos²A
1-cos²A
1=sin²A+cos²A
sin²A+cos²A-cos²=sin²A
sqrt(1/cos²A)×sqrt(sin²A)
1/cosA×sinA=sinA/cosA=tanA
have a great day
Evaluate (solve) the expression 4x + 8 when x = 2
Answers
Hi ;-)
[tex]x=2\\\\4x+8=4\cdot2+8=8+8=\boxed{16}[/tex]
Step-by-step explanation:
4x + 8
4 × 2 + 8
8 + 8
16
Therefore its 16.
Fred and Gina are playing tennis. The first player to win 2 sets wins their match. Fred has a 3/5 chance to win each set while Gina has a 2/5 chance. What is the probability that the match goes three sets until someone wins?
Answers
Answer:
60/125 which can be reduced to 12/25
Step-by-step explanation:
Gina wins
2/5 * 2/5 = 4/25
3/5 * 2*5 * 2/5 = 12 /125
2/5 * 3/5 * 2/5 = 12/125
Fred Wins
3/5 * 3/5 = 9/25
2/5 * 3/5 * 3/5 = 18/125
3/5 * 2/5 * 3/5 = 18/125
P(3 sets) = (18 + 18 + 12 + 12)/125 = 60/125
P(2 sets) = (20 + 45)/125 = 65/125
I found the probability of 2 sets so I could add the results together to see if the probability totals 1. It does. This question is done correctly.
Find the midpoint, M, of AB.
А
M
B
[?]
22
Answers
Answer:
M=11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
To find the midpoint ( or middle) we take the average of the endpoints
(A+B)/2 = (0+22)/2 = 22/2 = 11
Someone please help!
-it is a 4 digit number.
-the vaule of the digit in the thousands place is 10 times greater than the value of the digit in the hundreds place.
-the least digit is in the tens place.
-the sun of the digits is 19. -the digit in the ones place is 4 more than the digit in the hundreds place.
-whats the mystery number?
Answers
Answer:
5539
Step-by-step explanation:
You should conclude that the number in the thousands place and the one in the 100s place are the same.
x * 1000 + x * 100 + y + x + 4
So you could sum the digits as
3x + y + 4 = 19 Subtract 4 from both sides
3x + y = 15
x can be six That means y = 1 which is OK
x can be five That means y = 3 which is OK
Now we run into a little grief. Can x be 4? No
x cannot be 4 that would mean that y = 19 - 12 = 7 The tens digit is too big.
Come to think of it, x cannot be 6 because then the units digit will be 10 -- not possible.
So the answer is
1000*5 + 100*5 + 10*3 + 9
5539 is the answer.
Thanks for posting.
We want to find a 4-digit number that meets some given conditions. We will find two, which are:
4438 and 5509
A general 4-digit number can be written as:
a*1000 + b*100 + c*10 + d
Where a, b, c, and d are single-digit numbers.
a is the thousands digit
b is the hundreds digit
c is the tens digit
d is the units digit.
Here we know that:
"the value of the digit in the thousands place is 10 times greater than the value of the digit in the hundreds place."
So the first term is 10 times the second term, this means that:
(a*1000) = 10*(b*100)
a*1000 = b*1000
a = b
-the least (the smaller one) digit is in the tens place.
so:
c < a, b, d
- The sun of the digits is 19.
So:
a + b + c+ d = 19
-The digit in the ones place is 4 more than the digit in the hundreds place.
so:
d = b + 4
Now we can rewrite all of these conditions as:
b = ac < b, a, da + b + c + d = 19d = b + 4Using the first one, we can replace all the b's by a's in the other conditions, so we have:
c < a, d2a + c + d = 19d = a + 4Now we can use the third equation and replace it in the second one to get:
2a + c + d = 19
2a + c + (a + 4) = 19
3a + c + 4 = 19
3a + c = 19 - 4
3a + c = 15
Now we need to remember that:
c < a.
So we can try with different values of a.
For example, if a = 3, then:
3*3 + c = 15
9 + c = 15
c = 15 - 9 = 6
here we have c > a, so we can discard this.
If a = 4, then:
3*4 + c = 15
12 + c = 15
c = 15 - 12 = 3
c < a
From this we can construct our number:
a = b = 4
c = 3
d = b + 4 = 4 + 4 = 8
Then the number is:
4438
If a = 5, then:
3*5 + c = 15
15 + c = 15
c = 15 - 15 = 0
c < a
So we also can have:
a = b = 5
c = 0
d = b + 4 = 9
Such that the number is:
5509
And if a is equal to or larger than 6 we have problems, because
3*6 + c = 15
18 + c =15
c = 15 -18 = -3
And c can't be a be a negative number.
So we can conclude that we found two 4-digit numbers that meet all the conditions, and these are:
4438 and 5509
If you want to learn more, you can read:
https://brainly.com/question/19902993
Use exponents to rewrite 27.
A. 93
B. 39
C. 9 + 9 + 9
D. 23
E. 33
Answers
Answer:
3³ = 27
Step-by-step explanation:
I'm guessing you need answer E
No link answers please solve honestly
Answers
Answer:
y = 78
Step-by-step explanation:
66 + 4 = 70 + 4 = 74 + 4 = 78
-12 + 3 = -9 + 3 = -6 + 3 = -3
x = -3
y = 78
Name prime numbers 1-30
Answers
Answer:
2,3,5,7,11,13,17,19,23 and 29
Step-by-step explanation:
hope this helps
Which of the following is equal to square root of 3 and square root of 6.
Answers
Answer:
the answer is the second option which is 6⅓
Answer:
6^1/6
Step-by-step explanation:
Rewriting with the exponents as fractions
(6^1/3) ^1/2
We know a^b^c = a^(b*c)
6^(1/3*1/2)
6^1/6
The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
a) Write down the expression for the sum of the first (n − 1) terms.
b) Find the first term and common difference of the above sequence.
Answers
Answer:
(a).
[tex]S_{n} = \frac{n}{2} (4n + 20) \\ \\S _{n - 1} = \frac{(n - 1)}{2} (4n - 4 + 20) \\ \\ S _{n - 1} = \frac{(n - 1)}{2} (4n + 16) \\ \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2} \\ \\ { \boxed{S _{n - 1} = {2 {n}^{2} + 6n - 8}}} \\ [/tex]
(b).
from general equation:
[tex]S _{n - 1} = \frac{(n - 1)}{2} (4n + 16)[/tex]
first term is 4n
common difference:
[tex]16 = \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d = \frac{16}{n - 2} [/tex]
What is the surface area of the rectangular prism formed from this net?
O A. 10.5 in.2
B. 16 in.2
C. 16.5 in.2
Ο Ο Ο
OD. 18 in.2
E 32.5 in.2
Answers
Please Help! I am so confused. I will give you the brainiest and a lot of points.
Please show work
Answers
Read each number from top to bottom. Each digit is in base 20, and as I pointed out in another question of yours, 1 bar = 5, 1 dot = 1, and disk = 0.
(47) Only 1 digit here, with 2 bars and 4 dots. So this is 14.
(49) 3 digits, in order from top to bottom: 19, 0, 6. So this number is
[19]06₂₀ = 19×20² + 0×20¹ + 6×20⁰ = 7606
(51) 3 digits: 8, 8, 8.
888₂₀ = 8×20² + 8×20¹ + 8×20⁰ = 3368
(53) 4 digits: 2, 0, 0, 11.
200[11]₂₀ = 2×20³ + 0×20² + 0×20¹ + 11×20⁰ = 16011
(55) 4 digits: 10, 10, 0, 10.
[10][10]0[10]₂₀ = 10×20³ + 10×20² + 0×20¹ + 10×20⁰ = 84010
(57) 6 digits: 5, 10, 0, 6, 2, 3.
5[10]0623₂₀ = 5×20⁵ + 10×20⁴ + 0×20³ + 6×20² + 2×20¹ + 3×20⁰ = 17602443
(59) 6 digits: 10, 5, 0, 0, 11, 4.
[10]500[11]4₂₀ = 10×20⁵ + 5×20⁴ + 0×20³ + 0×20² + 11×20¹ + 4×20⁰ = 32800224
Find the greatest common factor of these two expressions.
28xy8v7 and 14x6v3
Answers
9514 1404 393
Answer:
14xv^3
Step-by-step explanation:
Coefficients are 28 and 14, which have a GCF of 14.
x exponents are 1 and 6, so the GCF is x^1 = x
y exponents are 8 and 0, so the GCF is y^0 = 1
v exponents are 7 and 3, so the GCF is v^3
The GCF of the two terms is the product of the factors just found:
14xv^3
Help ASP!
Sarah has 80 pennies. Lou
has 10 times as many
pennies as Sarah.
Joe has 1/10 as many
pennies as Sarah. How many
pennies do Lou
and Joe have together?
Answers
Joe has 8 pennies
Therefore they have 808 pennies
Express the following as the sum of two odd primes
a) 36
b)68
c)24
d)42
Answers
Answer:
b)68
Step-by-step explanation:
i think helping you...say correct or no...
I need help ASAP!!! Thanks
Answers
Find the simple interest.
Principal
Rate 11% principle 9000 time1 1/2 years what's the amount of simple interest earned is
Answers
Answer:
Here is your answer. Hope this helps you!
Answer:
Rate(R)= 11%
Times(T)=11/2
Principle(P)= 9000
We know that,
SI = P×T×R÷100
= 9000×11/2×11÷100
=9000×5.5×11÷100
= 544500÷100
=5445
Hence, the required simple interest is 5445.
Ans
find the radius of a circle which has a sector of area 9 square meters determined by a central angle 1/3 radian
Answers
Answer:
L = length of arc , R = radius
radian angle = L / R
L = R* radian angle
L = R * 1/3
L = R/3 #1
Area of sector = 1/2 L*R
By substitution using #1
Area of sector = 1/2 * R/3 * R
9 = R^2 /6
R^2= 6*9
R^2= 36
R =✓36
R = 6
What value of x makes the equation 3(x-6) – 8x = -2 + 5(2x + 1) true? Show your work.
Answers
9514 1404 393
Answer:
x = -1.4
Step-by-step explanation:
3(x-6) -8x = -2 + 5(2x + 1)
3x -18 -8x = -2 +10x +5 . . . . . . . eliminate parentheses
-21 = 15x . . . . . . . . . . . . . . add 5x -3 and collect terms
x = -21/15 = -7/5
x = -1.4
__
Check
3(-1.4 -6) -8(-1.4) = -2 +5(2(-1.4) +1) . . . substitute for x
3(-7.4) +11.2 = -2 +5(-2.8 +1)
-22.2 +11.2 = -2 +5(-1.8)
-11 = -2 -9 . . . . . true