what is the value of k in which the expression k-22=13-61
Which expression is equivalent
Answer:
[tex]\sqrt[6]{2\\}[/tex]
Step-by-step explanation:
Rewriting
2 ^1/2 ÷ 2 ^ 1/3
We know a^ b ÷ a^c = a^ (b-c)
2 ^ (1/2 -1/3)
Getting a common denominator
2^ ( 3/6 - 2/6)
2^ 1/6
[tex]\sqrt[6]{2\\}[/tex]
Answer:
[tex]\sqrt[6]{2}[/tex]
Step-by-step explanation:
We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and [tex]2^{\frac{1}{2} }[/tex] and the cube root of two is the same as [tex]2^{\frac{1}{3} }[/tex]. Therefore, we can rewrite the expression:
[tex]\frac{2^{\frac{1}{2} }}{2^{\frac{1}{3} }}[/tex]
Now, to write them as one power of two, we can use the quotient rule which states, [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]:
[tex]2^{\frac{1}{2} -\frac{1}{3}}[/tex]
We just need to subtract 1/3 from 1/2 to get:
[tex]2^{\frac{1}{6} }[/tex]
This is the same as the 6th root of 2, which is the second option.
Here's a little something that will tease your brain. I doubt someone will answer this
Answer:
500ml orange juice is the most cost effective
no links please, i cant find the answer for q b) ii)
Answer:
-k
Step-by-step explanation:
Cos(140)=cos(180-40)=-cos(40)=-k
Answer:
Step-by-step explanation:
Sin (90 - A) = Cos A
Cos (90 + A) = -Sin A
Sin 50 = Sin (90 - 40)
= Cos 40
= k
Cos 140 = Cos (90 + 50)
= - Sin 50
= (- k)
There is 28 kg 750 g of sugar in a sack. How many tins of 500 g sugar can be filled using the sugar in the sack?
Answer:
Step-by-step explanation:
28 kg + 750 g = 28*1000 + 750
28000 + 750
= 28750 g
Number of sack = Total quantity of sugar ÷ quantity of sugar in a sack
= 28750 ÷ 500
= 57 sacks
Answer:
57 sacks
Step-by-step explanation:
28750 ÷ 500 =
57 sacks
Glad to help! :)
Solve -2x + 6 = -20. -7 -13 7 13
Answer:
13
Step-by-step explanation:
-2x + 6 = -20
Step 1 subtract 6 from both sides
6 - 6 cancels out
-20 - 6 = -26
We now have -2x = -26
Step 2 divide both sides by -2
-2x/-2 = x
-26/-2 = 13
We're left with x = 13
what is the product of 172837286 and 17368364????
Answer:
3.0019009e+15
Step-by-step explanation:
the word and is multiplication so multiply the two numbers
Answer:
3.001900896*10^15 is the answer
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
six and one over twelve
Step-by-step explanation:
1/4 + 5 5/6=1/4+35/6 = 6 1/12
step 3 35
6
step 4 answer = 35
6
What are the values of x in the equation x2 - 6x + y =
A)x= -2 or x = 8
B)x= -1 or x = -11
C)x= 1 or x = 11
D)x = 2 or x = -8
a rule in quadratic equ states that
if summation of the roots should be -b/a of the equa
comparing the equ x² - 6x + y=0
with. ax² + bx +c =0
we see that in the equ, a= 1, b=-6
so the sum of the roots is -(-6)/1= +6
looking the the option the only one that agreed is option A
-2 + 8= 6
there fore the values of x are -2 or 8
The equation of the circle having center (5, 4) and touching y-axis is
A. x 2 + y2 – 10x – 8y + 25 = 0
B. x 2 + y2 – 5x + 4y + 8 = 0
C. x 2 + y2 – 5x + 4y + 8 = 0
D. x 2 + y2 – 42 – 5y + 10 = 0
Answer:
None Of the Above.
Step-by-step explanation:
As we know that the general equation of circle is
( x - h )^2 + ( y - k )^2 = r^2
putting h=5 and k= 4 and r= 5
x² + 25 - 10x + y² +16 - 8y = 25
x² + y² - 10x - 8y + 16 = 0 is the answer.
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Question 9 of 10
Which polynomial represents the difference below?
(8x2 +9) - (3x2 + 2x + 5)
Step-by-step explanation:
= (8x² + 9) - (3x² + 2x + 5)
= 8x² + 9 - 3x² - 2x - 5
= 5x² - 2x + 4
Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.
“But if you give me 4 marbles wwe would have the same number said Mary to Sam.
How many marbles do they have altogether?
Answer:
54 marbles
Step-by-step explanation:
The question is a word problem leading to a simultaneous equation
Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,
If Mary gives Sam 5 marbles, we have;
x + 5 = 2 × (y - 5)...(1)
If Sam gives Mary 4 marbles, we get;
x - 4 = y + 4...(2)
From equation (1), we get;
x + 5 = 2 × (y - 5) = 2·y - 10
x = 2·y - 10 - 5 = 2·y - 15
x = 2·y - 15...(3)
From equation (2), we have;
x - 4 = y + 4
∴ x = y + 4 + 4 = y + 8
x = y + 8...(4)
Equating the two values of 'x' in equation (3), and equation (4), we get;
2·y - 15 = y + 8
2·y - y = 8 + 15 = 23
∴ y = 23
From equation (4), we get;
x = y + 8 = 23 + 8 = 31
x = 31
The total number of marbles they have altogether = x + y
However, x + y = 23 + 31 = 54
Therefore;
The total number of marbles they have altogether = 54 marbles.
2 Points
(25x
0
The equation ya
represents Michelle's regular
130(x-38) +950 %> 38
hourly and overtime wage. Based on this equation, what is Michelle's
overtime hourly pay?
A. $30
B. $38
O C. $950
O D. $25
Answer:
The answer is "35.22".
Step-by-step explanation:
Let the given equation:
[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]
Answer: $25
Step-by-step explanation: took the quiz
holaaandaaa cuanto es 22+22
Step-by-step explanation:
22+22=44
Es una pregunta fácil, incluso un niño pequeño puede responder a esto.
а
The radius
of
a circle is 10cm and
the length of a chord is 12 cm.
Then , calculate the distance between
the chord and centre of
a circle
Step-by-step explanation:
by referring to the diagram,
a = 8
verify that :- 5/8x(7/9-11/6)=(5/8x7/9)-(5/8x11/6)
please answer
pls help my computers about to die lol
Answer:
Elapsed 10 hours and 50 minutes
Step-by-step explanation:
So it's 5:25 pm to 4:15 am.
It goes by 50 mins to get from 5:25 to 6:15.
Now the hours.
It has passed 10 hours to get 6:15 pm to 4;15 am.
plsss help (on pic)
First will put brainliest
Answer:
7 over 2x-2
Step-by-step explanation:
Answer:
g^-1 •7
7g^-1
7•1/g
answer is 7/g
I hoped I helped!! :)
convert 4 years to months
Answer:
48 months
Step-by-step explanation:
12 times 4 48
Answer:
48 months
There's 12 months in 1 year.
So we would multiply 12 months by 4 years to get 48 months
A company has the pay scales below , with the percent of employees receiving that pay listed. Find the best value to represent an average salary at this company. ( round to the nearest dollar ) Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%
Answer:
$34,341
Step-by-step explanation:
Given :
Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%
To obtain the best value for the mean salary ; we obtain the weighted average ;
Σ(salary * weight factor) / Σ weight
[(23264 * 0.60) + (47480 * 0.38) + (117027 * 0.02)] ÷ (0.60 + 0.38 + 0.02)
= 34341.34 / 1
Average salary = 34341.34
= $34,341 ( nearest dollar)
what are the steps to this?
Answer:
Start at the positive
x
-axis, then rotate left by the desired angle.
Explanation:
Standard position means the first arm of the angle is the positive
x
-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.
As a basic example, the symbol
∠
is about a 45° angle in standard position.
To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.
If our angle was 90°, the terminal arm would be on the positive
y
-axis.
If our angle was 180°, it would be on the negative
x
-axis.
Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.
graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}
(ignore the part of the line in quadrant 4)
Step-by-step explanation:
find the value of x and y
Answer:
x = 58
y = 39
Step-by-step explanation:
x = 58 (Vertically opposite angles)
x + 2y + (x-14) = 180 (Angles in a straight line)
=> x + 2y + x - 14 = 180
=> 2x + 2y = 180 + 14
=> 2(58) + 2y = 194
=> 116 + 2y = 194
=> 2y = 194 - 116
=> 2y = 78
=> y = 78/2
=> y = 39
What am I doing wrong? I've tried every conceivable answer, I thought I was good at this type of math but this program keeps proving me wrong. Please help.
Answer:
Step-by-step explanation:
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 4 cos 5θ
Answer:
y-acis
Step-by-step explanation:
the function graph is symmetric about
- y-axis when it is an even function
-the origin ehen it is an even function
A symmetrical graph about the x-axis is not a function graph
f(×) is a even if and only if f(×) =f(×)
f(×) is a odd if and only f(×)=f(×)
We have the function r(0) = 4cos (50)
(only symmetry about the y-acis or about the origin)
Check r(-0)
r(-0) = 4cos (5-0) = 4cos (-50 = 4 cos (50)
Used cos (-× = cos ×
We have r(0). Therefore the graph of r(0) is symmectric about the y-axis.
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
Answer:
$425.6 should be budgeted for weekly repairs and maintenance.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean $400 and standard deviation $20.
This means that [tex]\mu = 400, \sigma = 20[/tex]
How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?
This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 400}{20}[/tex]
[tex]X - 400 = 20*1.28[/tex]
[tex]X = 425.6[/tex]
$425.6 should be budgeted for weekly repairs and maintenance.
If ABCD is a parallelogram,what is the value of x?
answers
a.) 46
b.) 82
c.) 38
d.) 44
e.) 69
f.) 37
Answer:
D.44
Step-by-step explanation:
i hope its help for you po
Please help and thank u
Answer:
The answer to this question is C.
Use the explicit formula an = a1 + (n-1)•d to find the 500th term of the sequence below.
24, 31, 38, 45, 52, ...
Step-by-step explanation:
the answer is in the image above
Answer:
a₅₀₀ = 3517
Step-by-step explanation:
a₁ represents the first term and d the common difference
Here a₁ = 24 and d = 31 - 24 = 7 , then
a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517
PLZZ HELP ME ITD MEAN THE WORLD
Answer: 33/3
Step-by-step explanation:
I don't know the question is weird but it probably is 33/3
The diagram shows a rectangle PQRS.
PQ = 14 cm and QR = 9 cm.
The point A lies on PS so that PA = 5 cm.
The point Blies on SR so that BR = 8 cm.
Answer:
a) The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is approximately 14.866 centimeters.
Step-by-step explanation:
a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:
[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]
[tex]A = 43\,cm^{2}[/tex]
The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is determined by Pythagorean Theorem:
[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)
[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]
[tex]AQ \approx 14.866\,cm[/tex]
The length of the line segment AQ is approximately 14.866 centimeters.