Answer:
[tex]y^7[/tex]
Step-by-step explanation:
If we want to simplify the expression [tex]y^9 \cdot y^{-2}[/tex], we have to note that exponent rules state that [tex]x^a \cdot x^b = x^{a+b}[/tex].
This means that if we add the exponents, that will be what we raise y to the power of.
[tex]9 + -2 = 9-2 = 7[/tex]
So [tex]y^7[/tex].
Hope this helped!
Given that sin(90 -5thetha) = Cos(180 - 0),
Find the value of theta
Answer:
θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or θ = -18 - π/10 - (2 π n_2)/5 for n_2 element Z
Step-by-step explanation:
Solve for θ:
sin(90 - 5 θ) = cos(180)
Hint: | Express the right hand side in terms of sine.
Rewrite the right hand side using cos(θ) = sin(θ + π/2):
sin(90 - 5 θ) = sin(π/2 + 180)
Hint: | Eliminate the sine from the left hand side.
Take the inverse sine of both sides:
90 - 5 θ = -180 + π/2 + 2 π n_1 for n_1 element Z
or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Look at the first equation: Isolate terms with θ to the left hand side.
Subtract 90 from both sides:
-5 θ = -270 + π/2 + 2 π n_1 for n_1 element Z
or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Solve for θ.
Divide both sides by -5:
θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Look at the second equation: Isolate terms with θ to the left hand side.
Subtract 90 from both sides:
θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or -5 θ = 90 + π/2 + 2 π n_2 for n_2 element Z
Hint: | Solve for θ.
Divide both sides by -5:
Answer: θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z
or θ = -18 - π/10 - (2 π n_2)/5 for n_2 element Z
6 square root of f I need help plzzzzzzz
Answer:
2.44948974278
sqrt(6)
Help needed ASAP will give BRAINLIEST
Answer:
The correct answer is C hope this helps :)
Step-by-step explanation:
What is the value of x/4y, when x=16 and y=2
Answer:
2
Step-by-step explanation:
First let’s add the x, y into the fraction.
16/4(2)
Now simplify,
16/8=
2/1=
2
5√27-17√3 in radical form
Answer:
[tex]-2\sqrt{3}[/tex]
Step-by-step explanation:
[tex]5\sqrt{27} -17\sqrt{3} =5*3\sqrt{3} -17\sqrt{3}[/tex]
[tex]=15\sqrt{3} -17\sqrt{3}[/tex]
=[tex]-2\sqrt{3}[/tex]
Cows and Chickens
A chicken farmer also has cows for
a total of 30 animals, and the
animals have 66 legs in all.
How many chickens does the farmer have?
Answer:
27 Chickens
Step-by-step explanation:
Represent the chicken with A and the cows with B
Given
[tex]A + B = 30[/tex]
A has 2 legs and B has 4; So:
[tex]2A + 4B = 66[/tex]
Required
Determine A and B
Make B the subject of formula in the first equation
[tex]B = 30 - A[/tex]
Substitute 30 - A for B in the second equation
[tex]2A + 4(30 - A) = 66[/tex]
Open the bracket
[tex]2A + 120 - 4A = 66[/tex]
Collect Like Terms
[tex]2A - 4A = 66 - 120[/tex]
[tex]-2A= -54[/tex]
Divide through by -2
[tex]A = 27[/tex]
Hence, the farmer has 27 chickens
The areas of three circles are shown.
Circle X
Circle Y
Circle z
A=9x cm?
A-
cm?
A = 27.5 cm
Not drawn to scale
Which list shows the circles in order from greatest area to least area?
A. Circle Z, circle Y, circle X
B. Circle Y, circle Z, circle X
C. Circle X, circle Z, circle Y
D. Circle X, circle Y, circle z
Answer:
C. Circle X, circle Z, circle Y
Step-by-step explanation:
Given
Circles X, Y and Z
Required
Order from greatest to highest
First, we need to simplify the given areas;
For Circle X
[tex]A = 9\pi[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]A = 9 * 3.14[/tex]
[tex]A = 28.26[/tex]
For Circle Y
[tex]A = \frac{\sqrt3}{2}[/tex]
This gives
[tex]A = \frac{1.732}{2}[/tex]
[tex]A = 0.866[/tex]
For Circle Z
[tex]A = 27.5[/tex]
By comparing the above areas;
X has the largest area; followed by Z and then Y
Hence,
option C answers the question
Answer:
x,z,y
Step-by-step explanation:
Can you solve this for me please???
Answer:
D
Step-by-step explanation:
all is correct but from 2 to 3 you add +4 to both sides
A rectangle on a coordinate plane has vertices at (7, 5), (–7, 5), (–7, –2), and (7, –2). What is the perimeter of the rectangle?
A. 21 units
B. 34 units
C. 42 units
D. 98 units
Simplify. 3+2(13−17)2 Enter your answer in the box.
Answer:
35
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
3 + 2(13 - 17)²
Step 2: Parenthesis subtraction
3 + 2(-4)²
Step 3: Exponent
3 + 2(16)
Step 4: Parenthesis multiplication
3 + 32
Step 5: Add
35
Please Answer All And Explain (Will Give Brainliest) ASAP
Answer:
A: irrational
B: whole number
C: rational
D: irrational
E: natural
F: irrational
G: integer
H: irrational
I: rational
J: irrational
K: rational
chris and jeff sold 15 pounds of trail mix . they sold the trail mix for $3.98 per pound . How much money did they collect
Answer:
The anwser I got was 59.7
Step-by-step explanation:
I am in 7th grade so I most likley got the wrong anwser but Multipled 3.98 by 15 and got 59.7
PLEASE HELP !!!
Robin Hood fooled King John when he gave
him 3/6 of the coins. You could say that he
Input the fraction 1/2 (x) and his output was
3/6 (y). The function that caused that output
was multiplying both the numerator and the
denominator by 3.
Step-by-step explanation:
This is a common knowledge of equivalent fractions.
Multiplying both the numerator and denominator of a fraction by the same quantity does not change the value of the fraction.
Not only multiplication, but division also works. What ever operation performed on the numerator must also be performed on the denominator.
1/2 = 2/4 = 4/8 = 16/32
In the problem (2*4)^2 -(21-18)^2=... does the order of operations make a difference in the final answer? YES or NO
What is 3x3x4x4x3x4 using exponents
Answer:
1728
Step-by-step explanation:
[tex]3 \times 3 \times 3 \times 4 \times 4 \times 4 \\ [/tex]
[tex] = > {3}^{3} \times {4}^{3} [/tex]
As both 3 & 4 have same exponent , the bases will get multiplied with exponent as 3.
[tex] = > {(3 \times 4)}^{3} [/tex]
[tex] = > {12}^{3} = 1728[/tex]
1728 is the value of 3x3x4x4x3x4
What is Number system?A number system is defined as a system of writing to express numbers.
The given expression is 3x3x4x4x3x4
The operator in the given expression is multiplication.
Which is also know as product
Multiplication is a method of finding the product of two or more numbers
3x3x4x4x3x4 can be written in exponent form.
As three is multiplied three times we can take as 3³
four is multiplied three times we can take as 4³
So 3³×4³
27×64
1728
Hence, 1728 is the value of 3x3x4x4x3x4
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
Two angles that lie in the same plane are called ? If the share a common side and common vertex
20−6+4k=2−2k plz solve
Answer:
-2
Step-by-step explanation:
Answer:
k=-2
Step-by-step explanation:
isolate the viarable by dividing each side by factors that contain the variable
What is the value ?....
Answer:
22
Step-by-step explanation:
Select the correct answer. There are 96 strawberries in a basket. Each of 12 children received an equal number of the strawberries. Which equation gives s, the number of strawberries each child received? A. s + 12 = 96 B. s × 12 = 96 C. s + 96 = 12 D. s × 96 = 12
Answer:
The answer is B(s*12=96)
choose the more precise measurement from the pair 54.1 cm and 54.16 cm.
Answer:
a
Step-by-step explanation:
Precision means that a measurement using a particular tool or implement produces similar results every single time it is used. For example, if you step on a scale five times in a row, a precise scale would give you the same weight each time. In math and science, calculating precision is essential to determine if your tools and measurements work well enough to get good data. You can report precision of any data set using the range of values, the average deviation, or the standard deviation.
Solve for.x 3x-2(6-x)=7x+2(5+x)-6
Answer:
A) x = -4
Step-by-step explanation:
[tex]3x-2\left(6-x\right)=7x+2\left(5+x\right)-6\\\\\mathrm{Expand\:}3x-2\left(6-x\right):\quad 5x-12\\\\\mathrm{Expand\:}7x+2\left(5+x\right)-6:\quad 9x+4\\5x-12=9x+4\\\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\5x-12+12=9x+4+12\\\\Simplify\\5x=9x+16\\\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\5x-9x=9x+16-9x\\\\Simplify\\-4x=16\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4x}{-4}=\frac{16}{-4}\\\\Simplify\\x=-4[/tex]
if c(x) = 4x - 2 and d(x)= x2 + 5x, what is (c.d)(x)?
Answer:
4x^3 + 18x^2 - 10x.
Step-by-step explanation:
(c.d)(x) = (4x - 2)(x^2 + 5x)
= 4x^3 + 20x^2 - 2x^2 - 10x
= 4x^3 + 18x^2 - 10x.
Solve for v.
-8v+3(v-3) = 16
Hi there! :)
Answer:
[tex]\huge\boxed{v = -5}[/tex]
-8v + 3(v - 3) = 16
Distribute the 3:
-8v + 3(v) + 3(-3) = 16
-8v + 3v - 9 = 16
Combine like terms and simplify:
-5v - 9 = 16
-5v - 9 + 9 = 16 + 9
-5v = 25
Divide both sides by -5:
-5v/(-5) = 25/(-5)
v = -5.
Three boys were running around the track. The first can run 1 lap in 15 min. The second can run 1 lap in 25 min. and the third can run a lap in 10 min. If the boys start running at 12:45, what time will all 3 boys pass each other again?
Answer:
At 15:15
Step-by-step explanation:
Given,
the 1st boy can run a lap in 15 minutes
the 2nd boy can run a lap in 25 minutes
the 3rd boy can run a lap in 10 minutes
Now if they start running at 12:45,they will meet after the time which will be equal to the L.C.M. of their time need to run a lap.
[tex]L.C.M.[/tex] of 15,25 & 10 = 150
So,they will pass each other after 150 minutes or 2 hours & 30 minutes.
If we add it with 12:45 we'll get 15:15 or 3:15 pm
The length of on a cycle of a visible light wave is 0.000000000000002 seconds. Write this number in scientific notation.
Answer:
Hey!
Your answer is that 0.000000000000002 IS WRITTEN LIKE THIS IN SCIENTIFIC NOTATION : 2 × 10^-15 ( ^ means 'to the power of...')
Step-by-step explanation:
THERE ARE OTHER WAYS TOO!
2e-15 (scientific e notation)
BUT THE FIRST ONE I GAVE TO YOU WILL BE THE BEST!!
HOPE THIS HELPS!!
Answer:
2 × 10^-15
Step-by-step explanation:
What is the absolute value of -|-9|
Answer:
|-|-9|| = 9
Step-by-step explanation:
I hoped this hope this helped
the answer is 9
Express 10 miles in kilometers.
Find the sum: (x3 + 4x2 + 2x - 6) + (5x - 7x2 + 3) A. x3 - 3x2 + 7x + 3 B. x3 - 3x2 + 7x - 3 C. x3 + 3x2 + 7x - 3 D. x3 - 3x2 + 3x - 3
=x3−3x2+7x−3
your answer is B
A car travel 126 miles in 3 hours at this rate how many miles can the car travel in 4 hours
Answer:
168miles
Step-by-step explanation:
if it travels 126 miles in 3 hours
then in 1 hour it travels 126÷3 = 42miles
4 hours= 4×42= 168 miles
How do I solve this?
Answer:
Step-by-step explanation:
The first thing you have to do, is rewrite the given expression
[tex]Ar^{-2} = \frac{A}{r^{2} }[/tex]
Then you plug in the given values
[tex]\frac{A}{r^{2} } = \frac{50.265}{4^{2} }[/tex]
Finally you simplify
[tex]\frac{50.265}{4^{2} }=\frac{50.265}{16} = 3.142[/tex]