Answers
The equations can be completed by;
1) y^8 - 1/y^8
2) 1/y^8 + 1/y^2
What is the law of the exponents?We have to know that there are laws that can be used when we are dealing with exponents. Two of the laws that we need to know here are the law of multiplication and the law of division.
Note that;
a^m/a^n = a^m - n (division law)
a^m * a^n = a^ m + n (multiplication law)
Having these laws at the back of our minds;
y^5 y^3 - (y^-2)^4 = y^8 - y^-8
= y^8 - 1/y^8
And;
(y^-2)^4 + y^3/y^5
y^-8 + y^-2
1/y^8 + 1/y^2
Learn more about exponents law:https://brainly.com/question/28966438
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Related Questions
6.On Saturday, Jane likes to work out, eat, and read a book. She will either lift weights, run, or hike. Then she will choose 1 of the 6 restaurants near her home, and read either Harry Potter, Catcher in the Rye, or Girl on the Train. How many different ways can she spend her Saturday?
Answers
Answer:
Number of different ways can she spend her Saturday = 54
Step-by-step explanation:
Jane has to do three types of things - Work out , Eat and Read a book
In Work out -
She either lift weights, run, or hike
In Eating -
She will choose 1 of the 6 restaurants near her home
In Reading -
Read either Harry Potter, Catcher in the Rye, or Girl on the Train
Number of ways in which she can work put = ³C₁ = [tex]\frac{3!}{1! (3-1)!} = \frac{3!}{2!} = 3[/tex]
Number of ways in which she can eat = ⁶C₁ = [tex]\frac{6!}{1! (6-1)!} = \frac{6!}{5!} = 6[/tex]
Number of ways in which she can read = ³C₁ = [tex]\frac{3!}{1! (3-1)!} = \frac{3!}{2!} = 3[/tex]
So, Total number of ways = 3×6×3 = 54
[tex] - \sqrt{49 {x}^{2} } [/tex]
simplify expression
Answers
Step-by-step explanation:
Given
[tex] - \sqrt{49 {x}^{2} } \\ = - \sqrt{ {7}^{2} {x}^{2} } \\ = - 7x[/tex]
Hope it will help :)
ZPRS and ZSRQ are supplementary angles.
85
Р
R
Q
What is the measure of ZSRQ?
O 5
O 15
O 95
O 105
Answers
Answer: 95
Step-by-step explanation: All supplementary angles always have to equal 180 degrees which means that you have to only do 180-85 and boom- 95- that is ur answer. Plz mark Brainliest:).
is 14.16 or 14.6 the higher number
Answers
Answer:
14.6 because 14.6 is equivalent to 14.60
Step-by-step explanation:
Answer:
14.6
Step-by-step explanation:
It would be 14.6 because 14.6 is basically 14.60
So you would compare 14.16 to 14.60
The students in Mr. Tran’s class want to raise $905.94 for new basketball equipment for the school. So far, they have earned a total of $732.78. How much money do they still need to earn?
A.
$173.16
B.
$233.24
C.
$636.84
D.
$1,638.72
if its right I give you something
Answers
Answer:
A 173.16
Step-by-step explanation:
905.94 - 732.78 = 17316
Help Please!? Thank You!
Answers
the vertex form of a parabola is
y = a(x-h)^2 + k
(h,k) is the point of the vertex
since h is -2 in (x+2)^2
the function is shifted 2 units left
HELP HELP ME PLSS!! Please I really need help....
Answers
The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440
Factor completely
1/25-25z^2
Answers
Answer:
1/25(1-25z)(1+25z)
Step-by-step explanation:
your welcome : )
I need help I don’t wanna failed this class:(
Answers
sun.=3,400
mon.=53,700
tue.=12,000
wed.=9,623
thur.=27,900
fri.=68,210
sat.=7,954
therefor, friday is the highest and sunday is the lowest. 68,210/3,400= 20.06 which is about 20. hope this helped!
PLZ ANSWER !!!!!!
An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth.
Answers
Answer:
289.877 ft
Step-by-step explanation:
You can draw the eagle and mouse by using a right triangle. You know that the height of the triangle will be 280 feet and the distance between eagle and mouse should be the hypotenuse. Since we know the angle and one side of the triangle, we can use trignometry (cosine(angle)=adjacent/hypotenuse). Plug in your values and solve for the hypotenuse.
Suppose we know that the birth weight of babies is Normally distributed with a mean 3500g and a standard deviation of 500g. What is the probability that a baby is born that weighs less than 3100g?
Answers
Answer:
0.21186
Step-by-step explanation:
We solve the above question using the z score formula.
z = (x-μ)/σ, where
x is the raw score = 3100g
μ is the population mean = 3500g
σ is the population standard deviation = 500g
z = 3100 - 3500/500
z = -0.8
Probability value from Z-Table:
P(x<3100) = 0.21186
The probability that a baby is born that weighs less than 3100g is 0.21186
can someone please help me with this:)
Answers
Answer: c
Step-by-step explanation:
What is the measure of Angles are not necessarily drawn to scale.
Answers
Answer: 31
Step-by-step explanation:
59 is vertically opposite to 59 in the bottom right angles of the triangle so that angle is also 59
Then the angle in the bottom left is 90/ right angle
90+59=149
180-149=31
The sum of two integers is - 5 and their difference is 11.
What are the two numbers
Answers
between which two consecutive integers does the square root of 830 lie
Answers
28^2=784
29^2=841
784<830<841
therefore sqrt784<sqrt830<sqrt841
therefore 28<sqrt830<29
Done!
how to find LCM of 58??
Answers
Answer:
Find the prime factorization of 58. 58 = 2 × 29.
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 2 × 2 × 2 × 2 × 29.
LCM = 1856.
Step-by-step explanation:
Apply the distributive property to simplify the expression 7(11-7).
Answers
Answer:
28
Step-by-step explanation:
The Distributive property uses the number outside the parenthesis and combines it (using multiplication) with the ones inside.
So, the number 7 will be multiplied with the numbers inside the parenthesis.
7(11-7)
7 × 11 = 77
7 × -7 = -49 (It will just be the same way you multiply but with a added negative sign.)
77-49=
28
Factorise : x³ + x - 3x² -3
Answers
Answer:
(x²+1)(x-3)
Step-by-step explanation:
Factorize x³ + x - 3x² -3
x³-3x²+x-3
Factorize
x²(x-3)+1(x-3)
= (x²+1)(x-3)
Hence the factorized form is (x²+1)(x-3)
Use the properties of exponents to simplify the following expressions
1. 5³⋅5⁴
5⁷
5¹²
5⁻¹
5
2. (2⁸)²
2¹⁶
2⁶
2¹⁰
2⁴
3. Anything raised to a power of zero is always:
0
itself
1
negative
4. n²⋅n⁴⋅n⁵
n²²
n¹³
n⁴⁰
n¹¹
5. 8⁷ ⁄ 8²
8⁵
8¹⁴
8⁹
1⁵
6. 3⁻⁴
3^4
-3^4
1 ⁄ 3^4
1 ⁄ 12
7. 7⁰
0
7
-7
1
8. Fill in the blank with the correct exponent to make the statement true.
3^16 = (3^8)(3^_ )
2
4
8
1
9.Which is equivalent to 5 x 5 x 5 x 5
5^3
4^5
5^4
5^5
10. Which is equivalent to 3^4Respuesta necesaria. Opción única.
27
81
9
12
Answers
Answer:
Below in bold
Step-.by-step explanation:
1. 5 ^(3+4) = 5^7.
2. 2^(8*2) = 2^16.
3. 1.
4. n^11
5. 8^(7-2) = 8^5.
6. 1 / 3^4.
7. 7.
8. 8.
9. 5^4.
10. 81.
= 5³+⁴
= 5⁷
2) (2⁸)²
= 2⁸ײ
= 2¹⁶
3) anything raised to a power of zero is always 1
4) n² • n⁴ • n⁵
= n²+⁴+⁵
= n¹¹
5) 8⁷/8²
= 8⁷-² = 8⁵
6)
3-⁴ =
1/3⁴
7) 7⁰ = 1
8)
3¹⁶ = (3⁸) (3*)
16-8 = 8
9) 5×5×5×5 = 5⁴
10) 3⁴ = 3×3×3×3 = 9×9 = 81
Use the original price and the markup to find the retail price.
Original price $68; Markup 15%
The retail price is $________?
how I did it 68 x .15= 45.33333 rounded = 4.53
68 + 4.53 = 72.5 then I added a 0, 72.50
is 72.50 the answer?
Answers
Answer:
15% of $68 is $10.2
$68 + $10.2 = $78.2
The retail price is $78.20
he equation shows the relationship between x and y:
y = −7x + 9
What is the slope of the equation?
−7
−2
7
9
Answers
Answer:
-7
Step-by-step explanation:
y=-7x+9
y=mx+b
m=slope
y=y-intercept
please help ! 2.5 : 12.5 reduce the following into ratio of whole number.??
Answers
help and i’ll give extra pounts
Answers
Answer:
C
Step-by-step explanation:
factor 11k^4 − 88k^3 + 77k^2
Answers
Answer:
11k^2 (k - 7)(k - 1)
Step-by-step explanation:
The highest common factor is
11k^2
Using the distributive property we get at least 2 factors.
11k^2 ( k^2 - 8k + 7)
The second factor reduces yet again.
11k^2 (k - 7)(k - 1)
Answer:
11k^2(k−7)(k−1)
Step-by-step explanation:
11k^4 − 88k^3 + 77k^2
Factor out 11.
11(k^4-8k^3+7k^2)
Consider k^4-8k^3+7k^2. Factor out k^2.
k^2(k^2−8k+7)
Consider k^2 −8k+7. Factor the expression by grouping. First, the expression needs to be rewritten as k^2+ak+bk+7. To find a and b, set up a system to be solved.
a+b=−8
ab=1×7=7
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. The only such pair is the system solution.
a=−7
b=−1
Rewrite k^2−8k+7 as (k^2−7k)+(−k+7).
(k^2−7k)+(−k+7)
Factor out k in the first and −1 in the second group.
k(k−7)−(k−7)
Factor out common term k−7 by using distributive property.
(k−7)(k−1)
Rewrite the complete factored expression.
11k^2(k−7)(k−1)
Sung loo worked 54 hours during a special sale at the store. 10 hours was time and a half, and 4 hours were at double time. Her regular rate is $6.86. How much would Sung Loo make?
Answers
Answer:
$432.18
Step-by-step explanation:
Time and a half = 50% more pay rate / 1.5*6.86 = $10.29 per hour
Double time = 2*6.86 = $13.72 per hour
Rest of the time => At regular rate
Total Amount = 10(10.29) + 4(13.72) + (54 - 10 - 4)(6.86)
= 10(10.29) + 4(13.72) + (40)(6.86)
= $ 432.18
Answer:
so 10 hours was 1,5 time and 4 hours was 2 (double) time Her regular rate is $6,86/h so 10 h with 1,5 time make 10*1,5 = ? and 4 h with 2 time make 4*2 = ? total how much you get multiplie by 6,86 and will get in this way easy sure the correct answer.
Are the ratios 2:4 and 5:6 equivalent? yes or no
Answers
Answer:
No
Step-by-step explanation:
If you try to multiply the 2:4 to change it to 5:6 , you can't because 5 is an odd number and 2 is and even
Enrique has $50 in his lunch account and spends $5 per day from the account. Maya has $46 in her lunch account and spends $4 per day from the account. Which equations model the situation?
50 – 5x = y and 46 – 4x = y
5x + 50 = y and 4x + 46 = y
5x – 50 = y and 4x – 46 = y
5 – 50x = y and 4 – 46x = y
Answers
Answer:
50 – 5x = y and 46 – 4x = y, is your answer
help me.............
Answers
Answer:
Step-by-step explanation:
In order to simplify we do the following...
[tex]5y + \frac{5}{14} + 9n + \frac{2}{14} + 2y - 3n = (5y +2y) +(\frac{5}{14}+ \frac{2}{14}) + (9n - 3n) = 7y + \frac{1}{2} + 6n[/tex]
Answer:
This expression can be simplified to 7y + 6n + 1/2
Step-by-step explanation:
You can find this by grouping like terms and adding them together. Starting with the expression we're given:
5y + 5/14 + 9n + 2/14 + 2y - 3n
Let's make it easier by grouping like terms:
(5y + 2y) + (9n - 3n) + (5/14 + 2/14)
Now we'll add them together:
7y + 6n + 7/14
And finally, we can simplify that fraction by factoring 7 out of both the numerator and denominator:
7y + 6n + 1/2
And now we have the final answer.
The piecewise function h(x) is shown on the graph.
On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (negative 4, negative 4) and goes up to an open circle at (negative 1, 2). The second line has a closed circle at (negative 1, 3), continues horizontally to (1, 3), and then goes down to a closed circle at (4, 0).
What is the value of h(3)?
–2
–1
1
2
Answers
Step-by-step explanation/Answer:
The value for h(3) is 1.
Coordinate (3,1)
The value on h(3) is located in the last part of the piecewise function, which starts at (1,3) until (4,0). To know the exact image of h(3), we can find the function that belongs to that piece of line, and then calculated the asked value.
So, to calculate the equation, we first have to find the slope with its definition, and then we'll use the point-slope formula to find the equation:
Therefore, the coordinates is (3,1), that is, the value for h(3) is 1.
Answer:
option c
Step-by-step explanation:
edge 2022
A bag contains 4 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Does the phrase that describes the probability of drawing a Twix bar
A.
No, because there are still only two possible outcomes.
B.
No, because it is still less likely to have an outcome of drawing a Twix.
C.
Yes, because there are still only two possible outcomes.
D.
Yes, because it is still less likely to have an outcome of drawing a Twix.
Answers
Answer:
Yes because there are still only two possible outcomes
Step-by-step explanation:
I think it’s this one cause I’m on it too