Answer: The answer is D
because x^2^4 power is x^8 and x^2*x^2*x^2*x^2 which is 2+2+2+2 which is x^8
Step-by-step explanation:
it is not C because it would be 4(c^2) which is 4x^2
it is not A because (x^2)(x^4) is 2+4 which is 6 so that means it would be x^6
The exponent equation correctly shows that [tex](x^{2} )^{4}=x^{8}[/tex] is
[tex](x^{2} )^{4}=x^{2}[/tex] × [tex]x^{2}[/tex] × [tex]x^{2}[/tex] × [tex]x^{2}[/tex] = [tex]x[/tex] × [tex]x[/tex] ×[tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex] = [tex]x^{8}[/tex]
Option (D) is correct
What is an exponent law?Exponents are also called powers or indices. The exponent rules explain how to solve various equations that as you might expect have exponents in them. They are several different kinds of exponent equations.
Given exponent equation
[tex](x^{2} )^{4}=x^{8}[/tex]
[tex](x^{2} )^{4}=x^{2}[/tex] × [tex]x^{2}[/tex] × [tex]x^{2}[/tex] × [tex]x^{2}[/tex]
If the bases are same, then the powers should be added from an exponent law. It is called as product of powers rule.
[tex](a^{m} )^{n} = a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{m+n}[/tex]
By adding the power, we get
2+2+2+2 = 8
∴ [tex](x^{2} )^{4} =x^{2+2+2+2} = x^{8}[/tex]
Hence, Option (D) is correct
The exponent equation correctly shows that [tex](x^{2} )^{4}=x^{8}[/tex] is
[tex](x^{2} )^{4}=x^{2}[/tex] × [tex]x^{2}[/tex] × [tex]x^{2}[/tex] × [tex]x^{2}[/tex] = [tex]x[/tex] × [tex]x[/tex] ×[tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex] = [tex]x^{8}[/tex]
Learn more about equation here
https://brainly.com/question/11388790
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PLEASE HELP How can you make different triangles with the same angle measures?
Form different triangles with angle measures 90°, 75°, and 15°
How can you make different triangles with the same angle measures?
O A. Make triangles with the same angle measures and the same side lengths
OB. It is not possible to make different triangles with the same angle measures.
OC. Make triangles with the same angle measures but different side lengths
OD. Make triangles with the same side lengths but different angle measures
1 3,000 600 2 1,600 40 3 640 32 4 3,048 381
Answer:
What?
Step-by-step explanation:
Is that a question?
please help me!!!!!!!!!
Answer:
10 * 5 / 2 = 25 cm
Step-by-step explanation:
Hope this helps
Answer:
25 cm² is the answer ..... my sister
I’ll mark brinaliest if the answe is correct. I need those two answers that are blank
Answer:
blue marbles: 4/15
red marbles: 8/15
Step-by-step explanation:
add all the marbles together then put how many marbles in front as the numerator.
What is the sum of the polynomials below ? 3y^5-2y+8 2y^5 - 4y^3-7
Answer:
[tex](3 {y}^{5} - 2y + 8) + (2 {y}^{5} - {4y}^{3} - 7) \\ = 5 {y}^{5} - 4 {y}^{3} - 2y + 1[/tex]
Identify the angle between 0 and 360 degrees that is coterminal with the
following angle *
1155°
Answer:
option 2
Step-by-step explanation:
By repeatedly subtracting 360° from the given angle.
1155° - 360° = 795°
795° - 360° = 435°
435° - 360° = 75° ← coterminal angle
Right triangle XYZ has right angle Z. If the sin(X)=1213
, what is the cos(X)
Given:
Right triangle XYZ has right angle Z.
[tex]\sin(x)=\dfrac{12}{13}[/tex]
To find:
The value of [tex]\cos x[/tex].
Solution:
We know that,
[tex]\sin^2(x)+\cos^2(x)=1[/tex]
[tex]\cos^2(x)=1-\sin^2(x)[/tex]
[tex]\cos(x)=\pm\sqrt{1-\sin^2x}[/tex]
For a triangle, all trigonometric ratios are positive. So,
[tex]\cos(x)=\sqrt{1-\sin^2x}[/tex]
It is given that [tex]\sin(x)=\dfrac{12}{13}[/tex]. After substituting this value in the above equation, we get
[tex]\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}[/tex]
[tex]\cos(x)=\sqrt{1-\dfrac{144}{169}}[/tex]
[tex]\cos(x)=\sqrt{\dfrac{169-144}{169}}[/tex]
[tex]\cos(x)=\sqrt{\dfrac{25}{169}}[/tex]
On further simplification, we get
[tex]\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}[/tex]
[tex]\cos(x)=\dfrac{5}{13}[/tex]
Therefore, the required value is [tex]\cos(x)=\dfrac{5}{13}[/tex].
Help pleaseeeeeeeeeeeeeeeeeee
Answer:
9 and ,-7 , -4
...........................
Answer:
9 and ,-7 , -4
Step-by-step explanation:
consider the equation k over x equals 12 where k is any number between 20 and 65 and X is a positive integer what are the possible values for x
2. Dakota's hourly salary is $12. If Dakota
normally works 9 hours, but today works for only
4 hours, then how much money will Dakota make
today?
Factories the following expression correctly 8x2 +4x
Answer:
4x(2x+1)
Step-by-step explanation:
8x^2+4x
x(8x+4)
4x(2x+1)
Answer:
4x(2x + 1)
Step-by-step explanation:
8x² + 4x
4(2x² + x)
4x(2x + 1)
A - y = -2x + 40
B - y = 2x + 40
C y = 1/2x + 40
D - y=-1/2x +40
Answer:
c y=1/2x+40
because it's positive (up). /
Can someone help me with this
Answer:
71.21 in³
Step-by-step explanation:
Seeing as these two objects don't have anything extra on them, we can assume that we just have to add up the two separate volumes of the sphere and cylinder to get the total object's volume.
The volume of a sphere is (4/3)πr³, so we plug 2 in for the radius, r, and get approximately 33.51.
The volume of a cylinder is πr²h, so we plug 3 in for the height and 2 in for the radius (4 inches is the diameter, and the radius is half of that) to get approximately 37.70
Add our two volumes up to get 71.21 in³ as our answer
What is the equation of the translated function, g(x), if
f(x) = x2?
g(x) = (x + 5)2 + 2
g(x) = (x + 2)2 + 5
g(x) = (x – 2)2 + 5
g(x) = (x – 5)2 + 2
Answer:
D
Step-by-step explanation:
g(x) = (x+4)^2 +6
Which number is rational?
Answer:
Option D, [tex]\sqrt{16}[/tex], since the answer is 4 which is a rational number considering that it's a whole number
Hope this helps!
The president of a small company
made $72,000 last year. She cut her
salary this year to $60,000 because
the company was not doing as well.
What was the percent decrease in
her salary to the nearest percent?
Answer:
17%
Step-by-step explanation:
Percent decrease
[tex] = \frac{72000 - 60000}{72000} \times 100 \\ \\ = \frac{12000}{72000} \times 100\\ \\ = \frac{1200000}{72000} \\ \\ = 16.67 \% \\ \\ \approx \: 17 \%[/tex]
Susan and Katie are running an ultra marathon. Susan averages 5 miles per hour. Katie averages 5.2
miles per hour. If Susan gets a 45 minute head start, then exactly how many hours after Katie begins
running will she catch up to Susan?
Answer:
Katie will catch up to Susan after running 33.4 h.
Step-by-step explanation:
We can find the time that takes Katie to catch up to Susan by using the following equation:
[tex] x_{f_{k}} = x_{0_{k}} + v_{0_{k}}t + \frac{1}{2}at^{2} [/tex]
Where:
[tex] x_{f_{k}} [/tex]: is the final position of Katie
[tex] x_{0_{k}} [/tex]: is the initial position of Katie = 0
[tex] v_{0_{k}}[/tex]: is the initial speed of Katie = 5.2 mi/h
a: is the acceleration = 0 (she is moving at constant speed)
t: is the time
Since Katie will catch up to Susan, the final distance traveled by Katie will be equal to the final distance traveled by Susan.
[tex] x_{f_{s}} = x_{0_{s}} + v_{0_{s}}t + \frac{1}{2}at^{2} [/tex]
[tex] x_{0_{k}} + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]
Since Susan gets a 45 minutes head start, in that time she traveled the following distance:
[tex] d = \frac{v}{t} = \frac{5 mi/h}{45 min*\frac{1 h}{60 min}} = 6.67 mi [/tex]
So, this will be the initial position of Susan.
[tex] 0 + v_{0_{k}}t = x_{0_{s}} + v_{0_{s}}t [/tex]
Hence, the time will be:
[tex] 5.2t = 6.67 + 5t [/tex]
[tex] t = 33.4 h [/tex]
Therefore, Katie will catch up to Susan after running 33.4 h.
I hope it helps you!
$1.50 is what fraction of $6.00?
Answer:
$1.50 is [tex]\frac{1}{4}[/tex] of $6.00
Step-by-step explanation:
In order to answers this, we should put $1.50 as the numerator, and $6.00 as the denominator, then simplify it and get the following...
[tex]\frac{1.50}{6.00} = \frac{1.50 / 1.50}{6.00/1.50} = \frac{1}{4}[/tex]
I didn’t mean to click C but yea I need help
Answer:
C.
Step-by-step explanation:
It says from least to greatest. You start off looking at the whole numbers and 1 is the least. Your going to start at 1 2/5 (that rules off A and B). The next number you need to compare is 3/10 and 5/8. Since 5/8 is bigger than 3/10 the answer would be C.
I have 2 more days to live what to do :(
Answer:
I would say, spend time with your family and friends and get ready for the time, I'm so sorry that this is happening to you and i hope you had an amazing life.
A Department of transportation report about air travel that nationwide, 76% of all flights are on time. In a sample of 12 flights, what is the probability that 3 flights will be late?
Answer:
The probability of 3 flights are late is 0.25.
Step-by-step explanation:
Total number of flights = 12
Flights on time = 76 % = 0.76 x 12 = 9.12 = 9
flights which are late = 24 % = 0.24 x 12 = 2.88 = 3
The probability of 3 flights are late is
P = 3/12= 1/4 = 0.25
Helppppp meeeeeeeeeeeee
Answer: B
Step-by-step explanation:
And also why do you have only 1 hour out of 16 to complete a test?
Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their three ages is 31 years. How old is each one them?
We are given these three people age below:
Jim's ageCarla's ageTomy's ageWe define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.
Jim's age = xNext, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.
Carla's age = x+5Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).
Tomy's age = 6+(x+5)The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.
[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]
Combine like terms and solve for x.
[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]
Then we substitute the value of x in ages to find these three people ages.
Jim's age = x = 5Carla's age = x+5 = 5+5 = 10Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.Answer
Jim's age = 5Carla's age = 10Tomy's age = 16Choose the attributes that are true for all quadrilaterals.
four angles
four right angles
four sides
opposite sides equal in length
opposite sides parallel
Answer:
four angles
four sides
Step-by-step explanation:
Look at this diagram. What are x and y?
Answer:
The answer is x = 13 and y = 5.
Step-by-step explanation:
From the diagram, we know that there are two congruent legs of the triangle on the left (indicated by the lines). This means that two angles in this triangle measure 5x degrees. Because the third angle of the triangle is supplementary to the 130 degree angle, we know it must measure (180-130) or 50 degrees. We can apply this supplementary argument to the triangle on the right as well. Looking at both triangles, we can create the following equations using the idea that the interior angles of a triangle must add to 180 degrees total. This gives us the following equations:
5x + 5x + 50 = 180
10y + 5 + 6x - 3 + 50 = 180
Let's begin by solving the first equation, since it only contains one variable.
5x + 5x + 50 = 180
We can start by combining like terms on the left side of the equation.
10x + 50 = 180
Then, we can subtract 50 from both sides of the equation.
10x = 130
Next, we can divide both sides by 10.
x = 13
Now that we know the value for x, we can take our second equation (that came from the triangle on the right side) and solve for y.
10y + 5 + 6x - 3 + 50 = 180
Let's begin by simplifying the equation a little bit.
10y + 6x + 52 = 180
We can subtract 52 from both sides of the equation.
10y + 6x = 128
Now we can plug in the value for x we found above, x = 13, and simplify.
10y + 6(13) = 128
10y + 78 = 128
We should then subtract 78 from both sides of the equation.
10y = 50
Finally, we can divide both sides of the equation by 10.
y = 5
Therefore, the answer to the problem is x = 13 and y = 5.
Hope this helps!
Which graph represents the function f(x)=2x/x²-1?
(TIMED)
Answer:
The graph in the bottom right corner.
Step-by-step explanation:
Answer: B. The second one. The one that has 3 lines on on the top right, one in the middle and one in the bottom left.
Step-by-step explanation:
Just graph it on a piece if paper like I did, you'll see
see attachment :)) I've been stuck on this question forever... I do not understand how they got 2r^2-60r-45=0. I know the formula for the area of the circle is r^2 pi... but still... Can someone answer the question with explanation?
Answer:
2r² - 60r - 45 = 0
Step-by-step explanation:
Hang on this is going to be convoluted
------------------------------
Area of pond
a = πr²
Area of path
a = πr²/10
Combined Area
a = πr² + πr²/10
a = π(r² + r²/10)
---------------------------
The Combined Area can also be expressed as
a = π(r + 1.5)²
a = π(r² + 3r + 2.25)
-----------------------------
Set the areas equal
π(r² + r²/10) = π(r² + 3r + 2.25)
Divide both sides by π
r² + r²/10 = r² + 3r + 2.25
Subtract r² from both sides
r²/10 = 3r + 2.25
Multiply both sides by 20
2r² = 60r + 45
Subtract 60r + 45 from both sides
2r² - 60r - 45 = 0
At the dance shoe store, they sell Tap, Point, and Ballet shoes. A pair of point shoes are double the price of ballet shoes. The tap shoes are $10 more than ballet shoes. If the total price of all the shoes is $648, how much is each shoe
Answer:
a pair of Tap shoes costs $169.50
a pair of Point shoes costs $319.00
a pair of Ballet shoes costs $159.50
Step-by-step explanation:
first tell your teacher, that the problem description is misleading.
as a shoe store has more than one pair per type. so, "all the shoes" would mean all the sites in the store. but that is for sure not meant here.
what your teacher hopefully meant was that the total price of buying one pair of each of the shoe types is $648.
and your teacher was hopefully asking for the price of pairs of shoes, and not actually single shoes.
my solution bases on these assumptions.
so, we got Tap (t), Point (p) and Ballet (b) shoes.
buying one pair each is
t + p + b = 648
now we know some other information.
p = 2×b (Point shoes are double the price of Ballet shoes)
t = b + 10 (Tap $10 more than Ballet)
so, we can replace t and p by expressions of b and get
b + 10 + 2×b + b = 648
4×b + 10 = 648
4×b = 638
b = 159.50
p = 2×159.50 = 319.00
t = 159.50 + 10 = 169.50
Help me please! It’s timed
Answer:
x=36.08
Step-by-step explanation:
Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]
DF=55
and DE= x
To find the value of x
According to trigonometry rule,
[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]
Therefore, the value of x will be 36.08
Amber and Ruben play a game with one 6-sided die. Ruben gets a point if he rolls a prime number. Amber gets a point if she rolls a number that is a factor of 6. Is this game fair? Explain.
Answer:
Explain what?
Step-by-step explanation: