Answers
Answer:
[tex]8^6[/tex]
Step-by-step explanation:
Powers are defined as the number of times you multiply a number by itself. For example, 2 to the 3rd power is 2 multiplied by itself 3 times. 2 * 2 * 2 = 8. You also know that if you multiply two powers of the same base, you add the exponent, and if you raise a power to a different power, you multiply the exponents.
e.g:
[tex]2^2\cdot2^2=2^{2+2}=2^4\\(2^2)^3=2^{2\cdot3}=2^6[/tex]
Now, we are asking to use grouping to write 2 to the power 18 as a power of 8. We know 2 to the power 8 is 2 to the power 3, so we have the following equation:
[tex]2^{18}=(2^3)^x[/tex]
We know this is now 2 to the power 3x = 2 the power 18, and therefore x = 6, because 3 times 6 is equal to 18. Now, we can just simplify 2 to the third as 8 and we now have:
[tex]8^6[/tex]
Related Questions
HELPP!! Can someone tell me what this expanded form is as a decimal??
(1 x 100) + (9 x 10) + (6 x 1) + (8x1/10) + (8 x 1/100)
Answers
Hope this helps!
Brainliest is much appreciated!
Evaluate the expression
-11^3
The value of the expression is
Answers
Answer: - 1331
Step-by-step explanation:
(-11)(-11)(-11)
(121)(-11)
- 1331
please help quick
A cone has a height of 10 in. and a radius of 4 in.
What is the slant height of the cone?
A
116−−−√
in.
B
96−−√
in.
C
84−−√
in.
D
104−−−√
in.
Answers
Answer: Choice A. sqrt(116)
==========================================================
Explanation:
If we were to view a vertical cross section of the cone, then we get a triangle. This triangle splits along the vertical height line to form two congruent right triangles.
The horizontal piece of each triangle is the radius r = 4.
The vertical piece is the height h = 10.
Apply the pythagorean theorem to find the slant height, which is the hypotenuse of the right triangle.
a^2 + b^2 = c^2
r^2 + h^2 = x^2
4^2 + 10^2 = x^2
16 + 100 = x^2
116 = x^2
x^2 = 116
x = sqrt(116)
please answerrrrrrrrrrr
Answers
Answer:
I think it's 25 meters.
Hope that helps. x
Answer:
I think it will be 25 meters
What is the perimeter?
14 feet
12 feet
16 feet
Answers
Answer:
14 feet
Step-by-step explanation:
You find this answer by adding each side. The arrow tells us that each side of a square is 1 foot, so you add up the outer sides of each square
[tex]\Large\bold\red{Question}[/tex]
Refer to the attachment.
Thank you!
Note:Don't Spam
Don't copy
If you don't know the answer don't answer.
Thank You!
Answers
[tex]\huge \rm༆ Answer ༄[/tex]
The equivalent expression is ~
[tex] \boxed {\boxed{ \sf2}}[/tex]Refer to attachment for solution ~
For x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the mathematical expression is:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]
Given the following data:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx}[/tex][tex]\frac{\sqrt{1 \;-sin^2x} }{cosx}[/tex]In Trigonometry, you should take note of the following mathematical expression:
[tex]sin^2x + cos^2x = 1[/tex]
Therefore, we can obtain the following:
[tex]sin^2x = 1 - cos^2x[/tex] ...equation 1.
[tex]cos^2x = 1 - sin^2x[/tex] ...equation 2.
Substituting the equations respectively, we have:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = \frac{\sqrt{sin^2x} }{sinx} + \frac{\sqrt{cos^2x} }{cosx}\\\\[/tex]
Taking the square roots, we have:
[tex]\frac{sinx}{sinx} + \frac{cosx}{cosx} = 1 +1\\\\1+1=2[/tex]
Therefore, for x such that 0 < x < [tex]\frac{\pi}{2}[/tex], the expression is:
[tex]\frac{\sqrt{1 \;-cos^2x} }{sinx} + \frac{\sqrt{1 \;-sin^2x} }{cosx} = 1+1=2[/tex]
Read more on trigonometry here: https://brainly.com/question/4515552
Evaluate −x when x=16.
Answers
Answer:
-x=16
x=-16
Step-by-step explanation:
That is the Answer
How many solutions are there for the system of equations shown on the graph?
No solution
One solution
Two solutions
Infinitely many solutions
Answers
Answer:
NO solution
Step-by-step explanation:
mark me brainliest pl
List the ordered pairs
Answers
Step-by-step explanation:
C. in descending order by weight<br /><br />
what is the slope of the line tha passes through the points (4,-9) and (8,-3)
Answers
5/9 divide 5 in the simplest form
Answers
[tex] \: \: \: \: \: \: [/tex]
[tex] = \frac{1}{9} \\ \\ or \: \: in \: \: alternate \: form \: \: \\ \\ 0.1, {3}^{ - 2} [/tex]
Step-by-step explanation:
[tex] \frac{5}{9} \div 5[/tex]
dividing the equivalent to multiplying by the reciprocal[tex] \frac{5}{9} \times \frac{1}{5} [/tex]
reduce the numbers with the greatest common factor 5[tex] = \frac{1}{9} \: \: \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ 0.1, {3}^{ - 2} [/tex]
hope it helpsI need to understand this better so Can I please get a step by step explanation? i will give brainiest
Answers
Answer:
10 inStep-by-step explanation:
The sides r, 10 and 20 are parallel to each other as all three are perpendicular to same line.
The triangles are similar as two sides are on same lines and another one is parallel as described above.
Work out the value of r using ratios of corresponding sides:
(r + 10)/(10 + 20) = r/10(r + 10)/30 = r/10r + 10 = 3r2r = 10r = 5 inNow, find the distance x from the bottom of the cone to the base of the smallest ball, using same method as above:
(x + r)/r = (x + 2r + 10)/10(x + 5)/5 = (x + 20)/102(x + 5) = x + 202x + 10 = x + 20x = 10If you were to graph the function f(x)=−15x+4 on the semester test, you should first graph the y-intercept, then use the slope to graph a second point, and connect the points with a line.
Write the y-intercept of the function f(x)=−15x+4 in the first box. Just write the number, no y= or f(x) =.
Write the slope of the function f(x)=−15x+4 in the second box. Just write the number, no m= or slope=.
Answers
Answer:
4
-15
Step-by-step explanation:
In triangle ABC, D is the midpoint of side AB and E is the midpoint of side BC. The area of triangle ABC is 56 square units. Find the number of square units in the area of triangle DBE.
Answers
Answer:
YourMom Not Cool
Step-by-step explanation:
yourMom is not cool
STOP CHEATING AND TRYING TO SEE ANSWER
Answer:
5
Step-by-step explanation:
Need help with this thank u
Answers
Answer:
Add 1 multiply by two
Step-by-step explanation:
As you see when 0 goes to 1, 9 goes to 18 so it is add 1 multiply by two.
Answer:
y=9x+9
Step-by-step explanation:
y=mx+c
You can use any of the 2 points
pnt1. (1;18)
pnt2. (3;36)
find the gradient
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{36 - 18}{3 - 1} [/tex]
[tex]m = \frac{18}{2} [/tex]
[tex]m = 9[/tex]
substitute one point and gradient to find c
y=mx+c
18=9(1)+c
18=9+c
c=18-9
c=9
therefore the equation is y=9x+9
Which expression is equivalent to 3/5x +3
2/5x + 1/5x
4/5x - 1/5x + 3
2/5x + 3 3/5x -1
1 + 3/5x + 2
1 +x/5 + 2
1 + 2/5x +3
Answers
if i have 2 Ds and 3 Bs will i move on too 7th grade? i have one d in history and one d in language arts but Bs in evrything else
Answers
Answer:
you will bcz u didn't fail
Define linear relationship. Give an
relationship.
PLESE HELP
Answers
Answer:
in linear algebra a linear relationship or simply relation between elements of a vector space or a module is a linear equation that has these elements as a solution
the difference between 3 1/2 and 1 4/5 is
Answers
Answer:
1 7/10
Step-by-step explanation:
3 1/2 - 1 4/5 = ?
3 5/10 - 1 8/10 = ?
2 5/10 - 8/10 = ?
1 15/10 - 8/10 = 1 7/10
Please help me with this question
Answers
if any doubt leave a comment
Help help help help help
Answers
area=108 in. squared
12/2 gives you the radius (6)
6 squared is 36
36 times 3 is 108
(6x +1)^2 +(6x-1)^2-2(1+6x)(6x-1)
Answers
Answer:
4 7#+$+28$;;_(#(#;$('jwhdbdisjwb
2x/5=9/15 what does x equal
Answers
Answer:
2x/5=9/15
2x=9/3
x=1.5
What is 12 times 135?
Answers
the answer for 135 times 12 is 1620
Answer:
1620
Step-by-step explanation:
u can time 12 by 135 or divide them
Write the equation for the line in slope intercept form
Answers
Answer:
y = -x + 5
Step-by-step explanation:
lmk if you want an explanation
Classify the triangle shown by its angles and sides. Select all that apply.
Answers
Answer:
Step-by-step explanation: just get good at math
Solve:
1. Square both sides of the equation.
2. Expand the left side. (3 − k)(3 − k) = 3k + 1
3. Multiply 9 − 6k + k2 = 3k + 1
4. Write the quadratic equation in standard form. k2 − 9k + 8 = 0
5. Factor the quadratic equation. (k − 8)(k − 1) = 0
6. Use the zero product property.
The solutions to the quadratic equation are
.
The true solution(s) to the radical equation
Answers
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
The given equation is:
[tex]3-k=\sqrt{3k+1}[/tex]
Square both sides of the equation
[tex](3-k)^2=3k+1[/tex]
Expand the left side of the equation above
[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]
Write the quadratic equation in standard form
[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]
Factor the quadratic equation
[tex](k-8)(k-1)=0[/tex]
Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
Learn more here: https://brainly.com/question/25840704
answer
first one: 8 and 1
second one: is 1
Step-by-step explanation:
slay
A cell phone company charges 30 per month plus 0.07 per minute if Mr franklin cell phone bill was 59.40 how many minutes did he talk for that month
Answers
Answer:
420 minutes
Step-by-step explanation:
first I subtracted 30 from 59.4 and got 29.4
then I divided 29.4 by .07 and got 420
so there you go hope it helped
What are the slopes (m1 & m2) to
1.)
3x+6=30
&
4y+2x=9
2.)
-x-y=-1
&
y+x=7
Answers
2.)-1;-1
If it takes 5 gallons of gas to drive 102 miles, how many miles can be driven using 7 gallons of gas?
Answers
Answer:
142.8
Step-by-step explanation:
You can go 20.4 miles per gallon of gas.
You can go 142.8 miles for 7 gallons.