Answer:
4096
Step-by-step explanation:
8^6÷8^2
First step is to solve the exponents
8 to the power of 6 is 262144
8 to the power of 2 is 64
Then divide 262144 by 64 : 4096
Answer:
it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n
so 8 to the power 6-2
= 8 to the power 4
that will be 4,096
Solve each system of equation for 3y+x=3 and -2y+5x=15
Answer:
x = 3 and y = 0
Step-by-step explanation:
3y+x=3
-2y+5x=15
Isolate y in 3y + x = 3 :
[tex]y=[/tex] [tex]\frac{3-x}{3}[/tex]
Substitute [tex]y = \frac{3-x}{3}[/tex] in -2y + 5x = 15 :
[tex]-2 * \frac{3-x}{3} + 5x = 15[/tex]
Simplify the equation :
[tex]\frac{-6+17x}{3} =15[/tex]
Isolate x in [tex]\frac{-6 + 17x}{3} = 15[/tex] :
Proving x = 3
Isolate y in [tex]y = \frac{3-3}{3}[/tex] :
Proving y = 0
Your solved system of equations are x being 3, and y being 0.
1)a)write any three rational numbers .
Answer : 3/4,-2/6,1/2 is are called rational
number.
b)Explain rational numbers in your own words .
Answer: A number which can be written in the form p/q , where p and q are integers and q = 0 is called a rational number
Step-by-step explanation:
1)1/2,1/5 and 0
2)In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer
help me guys it's important
Answer:
Does the answer help you?
Answer:
36 cm³
Step-by-step explanation:
Volume of R1 :
length = 5 cm
Width = 2 cm
Height = 2 cm
Volume = 5 * 2 * 2 = 20 cm³
Volume of R2:
length = 4 cm
Width = 2 cm
Height = 2 cm
Volume = 4 * 2 * 2 = 16 cm³
Volume of the figure = 20 + 16 = 36 cm³
F1 = ____
(5√2)/2
10
5
5√2
Answer:
[tex]F_{1}[/tex] = 5
Step-by-step explanation:
Given [tex]F_{1}[/tex] is perpendicular to [tex]F_{2}[/tex] then Δ ABC is right
Given [tex]F_{2}[/tex] = [tex]F_{1}[/tex]
Then using Pythagoras' identity in the right triangle
[tex]F_{1}[/tex] ² + [tex]F_{2}[/tex] ² = (5[tex]\sqrt{2}[/tex] )² , that is
2[tex]F_{1}[/tex] ² = 50 ( divide both sides by 2 )
[tex]F_{1}[/tex] ² = 25 ( take the square root of both sides )
[tex]F_{1}[/tex] = 5
What is the domain of the function shown on the graph?
This is another way of saying "the set of all real numbers". This is because there are no restrictions we must place on x. The graph extends infinitely in both left and right directions as the arrows indicate. Any x value can be plugged in to get some y output.
In interval notation, the domain would be written as [tex](-\infty, \infty)[/tex]
A point P has coordinates (-8, -2). What are its new coordinates after reflecting point P across the x-axis?
Answer:
(-8,2)
Step-by-step explanation:
This is because when you reflect a point across the x-axis, the x-coordinate fo the point remains the same and the y-coordinate's sign gets switched.
(x,y) --> (x,-y)
(-8,-2) --> (-8,2)
solve show all steps what is 7x-28≥-7
Answer:
x≥3
Step-by-step explanation:
7x-28≥-7
Add 28 to each side
7x-28+28≥-7+28
7x≥21
Divide by 7
7x/7≥21/7
x≥3
Answer:
7x-28≥-7
7x≥21
x≥3
If i have 30 Apples I Give 12 to My Friend And She Gives 7 to Her Grandma How Much Would I Have?
243 as a power of 3
Answer:
243 as a power of 3
= 3^5
=243
Let A represent the average value of the function f(x) on the interval [0,6]. Is there a value of c for which the average value of f(x) on the interval [0,c] is greater than A?
Answer:
The average value of the Function f(x) by squeeze theorem states that no extreme or greater value will exist within the designated area for f(x)
Two buildings are 12m apart on the same horizontal level. From the top of the taller building, the angle of depression of the bottom of the shorter building is 48degrees and from the bottom, the angle of of elevation of the top of the shorter building is 36 degrees. Calculate the difference in the heights of the buildings
Answer:
2.08 meters
Step-by-step explanation:
From the diagram attached :
We can calculate the height of the shorter building using trigonometry :
s = Height of shorter building
t = height of taller building
Tanθ = opposite / Adjacent
θ = 36°
Adjacent = 12, opposite = s
Tan36° = s / 12
0.7265425 × 12 = s
s = 8.72 meters
s = height of shorter building 8.72 meters ( 2 decimal places)
Height of taller building :
Tanθ = opposite / Adjacent
θ = 48°
Adjacent = t ; opposite = 12
Tan48° = 12 / t
1.1106125 = 12 / t
1.1106125 × t = 12
t = 12 / 1.1106125
t = 10.80 meters ( 2 decimal places)
Height of Taller building = 10.80 meters
Difference in height :
(10.80m - 8.72m) = 2.08 meters
what is the volume of the cone below?
Answer:
96 pi
Step-by-step explanation:
The formula for the volume of a cone is V=pi*r^2*h/3 the radius is 4 and the height is 18 plug in those values into the equation to get V=pi*16*6 16*=96 so the answer is 96 pi.
Evaluate the piecewise function at the indicated values from the domain:
In this question, we given a piece-wise function, that has different definitions depending on the domain.
Evaluate the function at x = 0.
The exercise asks for us to evaluate the function at [tex]x = 0[/tex]
We have to look at the definition, and see which definition includes [tex]x = 0[/tex]. The equal sign at [tex]x = 0[/tex] is on the second definition, that is:
[tex]f(x) = 1, 0 \leq x < 2[/tex]
Thus, at [tex]x = 0[/tex], the value of the function is 1, and the correct answer is given by option A.
For another example of evaluation of a piece-wise function, you can check https://brainly.com/question/17966003
How can I fin the remainder to 8,595 ÷ 24?
Answer:
358 and remainder of 3
Step-by-step explanation:
1. Divide it like any other problem
24 goes into 85, 3 times with 13 left overBring down the 9 and 24 goes into 139, 5 times with 19 left overThen bring down the 5 and 24 goes inside 195, 8 times with 3 left overSo your remainder would be 3
Hope this helps
in another baseball division one team had a winning of 0.444 what fraction of their team did this team win
Solve the inequality.
|11 – xl < 20
[?] < x < [ ]
Answer:
-9<x<31
Step-by-step explanation:
|11 – xl < 20
There are two solutions, one positive and one negative, remember to flip the inequality for the negative
11-x < 20 and 11 -x > -20
Subtract 11 from each side
11-x-11 <20-11 and 11-x-11 >-20-11
-x <9 and -x > -31
Multiply each side by -1, remembering to flip the inequality
x>-9 and x< 31
-9<x<31
Help I dont understand this
Identify any transformations that are used in each image below.
Some images may have multiple answers so make sure to include them all.
-Reflections - how many lines of symmetry and what specific type: vertical (y-axis), horizontal (x-axis), diagonal (y=x or y=-x)
-Rotations - of which order or how many degrees/angle of rotation
a. Reflectional symmetry only. The mirror line is vertical along the center of the sunglasses. The left half mirrors over this line to get the right half, and vice versa. There isn't any rotational symmetry because we can't rotate the glasses (some angle between 0 and 360 exclusive of both endpoints) to have the image be the same as the preimage.
---------------------
b. Rotational symmetry only. The puzzle can be rotated 90 degrees and the before and after image will be the exact same. There isn't any reflectional symmetry here.
----------------------
c. Reflectional symmetry and rotational symmetry. Effectively a combination of parts a) and b). We have a horizontal line of symmetry to go with a vertical one. The angle of rotation is 180 degrees.
----------------------
d. Reflectional symmetry and rotational symmetry. Similar to part c). This time the angle of rotation is 360/3 = 120 degrees. There are 3 lines of symmetry and they all pass through a vertex of the triangle, and the symmetry lines are perpendicular to the opposite side.
----------------------
e. Reflectional symmetry and rotational symmetry. We can rotate 180 degrees and not change the image. There are two lines of symmetry which pass through the center, one line is horizontal and the other vertical.
-----------------------
f. Rotational symmetry only. We don't have reflectional symmetry due to the smaller petals not matching up when reflections happen. But we can rotate the figure 120 degrees the same way we can with figure d.
The 3 question please with explained
Answer:
Step-by-step explanation:
Rectangle:
length = l = 12 cm
Width = w = 0.8 cm
Use Pythagorean theorem to find the diagonal
Diagonal² = l² + w²
= 12² + 0.8²
= 144 + 0.64
= 144.64
Diagonal = √144.64 = 12.03 cm
Diagonal of square = diagonal of rectangle
= 12.03 cm
To find the side of square again use Pythagorean theorem,
side² + side² = 12.03²
2 sides² = 144.64
side² = 144.64/2
side² = 72.32
side = √72.32
Side = 8.50 cm
-k^2-(7k-5n)+9n
k= -1
n= -2
Answer:
-k² - (7k - 5n) + 9n
-(-1)² - [7(-1) - 5(-2)] + 9(-2)
-1 - [-7 - (-10)] - 18
-1 - 3 - 18
= -22
a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are kess then zero
===============================================================
Explanation:
a = 200 = first term
d = -30 = common difference
Tn = nth term
Tn = a + d(n-1)
Tn = 200 + (-30)(n-1)
Tn = 200 - 30n + 30
Tn = -30n + 230
Set Tn less than 0 and isolate n
Tn < 0
-30n + 230 < 0
230 < 30n
30n > 230
n > 230/30
n > 7.667 approximately
Rounding up to the nearest whole number gets us [tex]n \ge 8[/tex]
So Tn starts to turn negative when n = 8
We can see that,
Tn = -30n + 230
T7 = -30*7 + 230
T7 = 20
and
Tn = -30n + 230
T8 = -30*8 + 230
T8 = -10 is the 8th term
and lastly
Tn = -30n + 230
T9 = -30*9 + 230
T9 = -40 is the ninth term
Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.
Answer:
- 10
- 40
Step-by-step explanation:
By the 7th term you should be pretty close to 0. Let's show that.
a1 = 200
n = 7
d = - 30
t7 = a1 + (n - 1)*d
t7 = 200 + (7 -1)*-30
t7 = 200 + 6*-30
t7 = 200 - 180
t7 = 20
This is the last term that is positive. when you take 30 away from t7 you are going to be in negative territory.
t8 = 200 + (8-1) * - 30
t8 = 200 + 7 * - 30
t8 = 200 - 210
t8 = - 10
Now the 9th term
t9 = 200 + (9 - 1)*-30
t9 = 200 + 8 * - 30
t9 = 200 - 240
t9 = - 40
2 + 8(x + 2) = 52
a 3
b 1
C2
d 4
Step-by-step explanation:
[tex]2 + 8(x + 2) = 52 [/tex]
[tex]2 + 8x + 16 = 52[/tex]
[tex]8x + 18 = 52[/tex]
[tex]8x = 52 - 18[/tex]
[tex]8x = 32[/tex]
[tex]x = \frac{34}{8} [/tex]
[tex]x = 4.25[/tex]
Hope it helps u
evaluate 1 whole number 2/5 + 3/4 and give your answer to one significant figure
Answer:
The answer is
2 to 1 significant figureStep-by-step explanation:
[tex]1 \frac{2}{5} + \frac{3}{4} [/tex]
To solve the question first convert the mixed fraction to an improper fraction
That's
[tex]1 \frac{2}{5} = \frac{7}{5} [/tex]
So we have
[tex] \frac{7}{5} + \frac{3}{4} [/tex]
Find the LCM of the fractions
The LCM of 5 and 4 is 20
That's
[tex] \frac{7}{5} + \frac{3}{4} = \frac{7(4) + 3(5)}{20} = \frac{28 + 15}{20} [/tex]
[tex] = \frac{43}{20} [/tex]
= 2.15
We have the final answer as
2 to 1 significant figureHope this helps you
when simplifying the expression y=(2x(x-3)(x-3))/(x-1)(x-3) do all of the x-3 s get cancelled or just one in the numerator and one in the denominator?
Answer:
Just one of the ones in the numerator and the one in the denominator
Step-by-step explanation:
In which scenarios are surveys appropriate? or when is it appropriate to use experiments?
Answer:
1. Surveys are used to obtain specific information from a group of people. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest.
2. Experiments are used to establish cause-and-effect relationships. Scientists use them for highly-controlled tests to give/withdraw credence to some hypotheses.
Step-by-step explanation:
Surveys, when applied to human subjects, are used to obtain data from a selected sample of subjects. Surveys, which can be applied through mails, telephones, the internet, in-person, and through other means are aimed at getting the opinions, thoughts, and beliefs of the participants. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest. This data can be qualitative or quantitative.
Experiments are administered to provide support or refute a given hypothesis. They establish cause and effect relationships. Scientists use them for highly-controlled tests to give/deny credence to some hypotheses. Positive controls establish the hypothesis as true. They could be conducted in the laboratory, in the field, or through observations.
what the answer???
11x10-12/3
Answer:
106
Step-by-step explanation:
12 divided by three subtracted by 11 Multiplied by 10
11 times 10 is 110
12 divided by 3 is 4
110-4= 106
Your answer to 11 x 10 - 12/3=106
anyone know if its a b c or d?
Answer:The right answer is B
Step-by-step explanation:
If it's negative then it should be on the other side with one side down on the graph and one side on the left.(hope this helped you) :)
multiplying polinomiyal(5x+2)(3x+4)
Answer:
(5x+2) (3x+4)
= 15x²+20x+6x+8
= 15 x²+ 26x+8
Hope this helps ^_^
Answer:
Step-by-step explanation:
Use FOIL method
(5x + 2)(3x + 4) = 5x * 3x + 5x *4 + 2*3x +2*4
= 15x² + 20x + 6x + 8 { now add like terms}
= 15x² + 26x + 8
please help............
Answer:
2x+14
Step-by-step explanation:
(3/4)x-7.3+(5/4)x+21.3
(3/4+5/4)x+21.3-7.3
2x+14
For each of the following expressions, decide whether it is a polynomial. Explain your answer.
1. x2+3x12 I
2. 13x2y-9y2
3. 3x-3
4. 23t2-1t2
Answer:
Add the like terms:
8x2+x2=9x2
-9y2-3y2=-12y2
-4x-7x=-11x
Combine each term:
9x2-12y2-11x
Hope this helps!!
Step-by-step explanation:
Hope This Helps man
there are 10 marbels in a bag, 4 are multi colored and 6 are solid. what is the probability of picking a solid marble and then another solid marble without replacing the first marble?
Answer:
(2/5) * (3/4) = 3/10 = 0.3