Answer:
1/36
Step-by-step explanation:
6^-2
~Use negative exponent rule [ a^-b = 1/a^b ]
1/6^2
1/36
Best of Luck!
Answer:
[tex]\huge\boxed{\sf \frac{1}{36}}[/tex]
Step-by-step explanation:
[tex]\displaystyle = 6^{-2}\\\\We \ know \ that\ a^{-b} = \frac{1}{a^b} \\\\= \frac{1}{6^2} \\\\= \frac{1}{36} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Identify the function family and describe the domain and range for g(x) = |x + 2|– 1.
The range of the function g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞).
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
For example f(x) = x²
Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.
Given the function g(x) = |x + 2|– 1
The minimum value of the function
At x = -2 ⇒ |-2+ 2|– 1 = -1
The maximum value of the function
At x = ∞ ⇒ |∞+ 2|– 1 = ∞
So,
The range will be (-1, ∞)
Now,
We can put x as -∞ and ∞ so the domain will be (-∞,∞).
Hence "The range of the function g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞)".
For more details about the range and domain of the function,
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a2 +b2 for a=3 and b=4
Answer:
[tex] {a}^{2} + {b}^{2} \\ a = 3 \\ b = 4 \\ {3}^{2} + {4}^{2} \\ = 9 + 16 \\ = 25 \\ thnk \: you[/tex]
Answer:
Step-by-step explanation:
PLEASE HELP DHEGDFEEHDB HELPP PLEASE
Answer:
B
Step-by-step explanation:
22/7 X 14 squared
-------------------------------- =308
2
406-308= 98cm ^2
Perform the operation.
(3x2 – 7x) – (4x2 + 6x)
Answer:
(3x2-7x)-(4x2+6x)= −x^2−13x
Step-by-step explanation:
(3x2-7x)-(4x2+6x)
Distribute the Negative Sign:
=3x^2−7x+−1(4x^2+6x)
=3x^2+−7x+−1(4x^2)+−1(6x)
=3x^2+−7x+−4x^2+−6x
Combine Like Terms:
=3x^2+−7x+−4x^2+−6x
=(3x^2+−4x^2)+(−7x+−6x)
=−x^2+−13x
Not sure if this is what you wanted. Sorry if this is what you weren't looking for.
Solve 4 (z + 5) = 32.
The solution is z = ☐
Answer:
z = 3
Step-by-step explanation:
4 (z + 5) = 32
4z + 20 = 32
4z = 12
z = 3
The solution is: the value of z is : z = 3, when 4 (z + 5) = 32 is solve for z.
Here, we have,
given that,
the expression is: 4 (z + 5) = 32.
now, we have to solve it for z, to get the value of z.
so, we have,
4 (z + 5) = 32
4z + 20 = 32
4z = 12
z = 3
so, simplifying we get, the value of z is : z = 3.
Hence, The solution is: the value of z is : z = 3, when 4 (z + 5) = 32 is solve for z.
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Evaluate each expression if a= 12, b =9, c= -4 (a2/4b)+c
you buy 4 video tapes for 14.99 each and 3 dvds for 19.99 each find the total cost of the movies
Answer:
119.93
Step-by-step explanation:
I will assume the total of the cost of the movies will be the total.
the total = 4*14.99 + 3*19.99
total = 119.93
Find the smallest positive integer n such that the digit sum of n is divisible by 5, and the digit sum of n +1 is also divisible by 5. Note: The digit sum of 1440 is 1+4+4+0 = 9.
Answer:
139,999
Step-by-step explanation:
If the digit sum of n is divisible by 5, the digit sum of n+1 can't physically be divisble by 5, unless we utilise 9's at the end, this way whenever we take a number in the tens (i.e. 19), the n+1 will be 1 off being divisble, so if we take a number in the hundreds, (109, remember it must have as many 9's at the end as possible) the n+1 will be 2 off being divisble, so continuing this into the thousands being three, tenthousands being 4, the hundred thousands will be 5 off (or also divisble by 5). So if we stick a 1 in the beginning (for the lowest value), and fill the last digits with 9's, we by process of elimination realise that the tenthousands digit must be 3 such that the digit sum is divisible by 5, therefore we get 139,999
Notice that a number is only divisible by 5 if it ends in 5 or 0.
Only using this, we will find that the number is 49,999
Suppose we wanted the sum of the digits to end in 5, then we could have something like:
23
2 + 3 = 5
if we add 1, we get:
23 + 1 = 24
2 + 4 = 6
This will happen always.
instead, if we use a 0 as the last digit of the sum, we get:
For example, the simplest one:
19
we have:
1 + 9 = 10
10 is divisible by 5.
if we add 1, we get:
19 + 1 = 20
2 + 0 = 2
2 is not divisible by 5.
We have a problem again, but this time you can see that the whole structure of the number does change. So we should keep trying with ones and nines.
Now we need to modify our number to the point we get n + 1 to be divisible by 5.
if we add a 9 to the right side of our number, we get:
199
1 + 9 + 9 = 19
clearly, not divisible by 5.
Here we need to add a 1 at the left side to make it divisible by one, so we get:
1199
1 + 9 + 1 + 9 = 20
this is divisible by 5.
now let's add 1:
1,199 + 1 = 1,200
1 + 2 = 3
3 is not divisible by 5.
Now, if you look at the two numbers we used, we can see that:
for 19, the sum of the digits + 1 gave us a 2.
for 1,199, the sum of the digits +1 gave us a 3.
then just let's add two ones and two nines.
We will get:
11,119,999
adding the digits:
1 + 1 + 1 + 1 + 9 +9 +9 +9 = 40
is divisible by 5.
Adding one to our number, we can get:
11,119,999 + 1= 11,120,000
Adding the digits:
1 + 1 + 1 + 2 + 0 + 0+ 0+ 0 = 5
divisible by 5.
Now, we can group the ones together, so instead of the number 11,119,999
we can have 49,999, which is way smaller.
Adding the digits, we get:
4 + 9 + 9 + 9 + 9 = 40
And adding one to our number, we get:
49,999 + 1 = 50,000
Adding the digits:
5 + 0 + 0 +0 + 0 = 5
So we found the smallest number n such that the sum of the digits of n is divisible by 5, and the sum of the digits of n + 1 is also divisible by 5.
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The formula S=n(a1+an)/2 gives the partial sum of an artithmetic sequence what is the formula solved for an?
Answer:
S = n(a1 + an)/2
2S = n(a1 + an)
2S = na1 + nan
nan = 2S - na1
an = (2S - n a1)/n
Step-by-step explanation:
hope it's right
If you graph a function and it looks like a circle, it will pass the vertical line test.
True or False
Answer: false
Step-by-step explanation:
Since it is a circle, when you draw the line it will meet at two points which fails the vertical line test. In order to pass the vertical line test it must only meet at one point.
Perform the indicated operations. Write the answer in standard form, a+bi.
-4+4i / -3-6i
Answer:
[tex] \frac{ - 4 + 4i}{ - 3 - 6i} \\ multiply \: and \: divide \: by \: - 3 + 6i \\ \frac{ - 4 + 4i}{ - 3 - 6i} \times \frac{ - 3 + 6i}{ - 3 + 6i} \\ = \frac{ ( - 4 + 4i)( - 3 + 6i)}{ ( - 3 - 6i)( - 3 + 6i)} \\ = \frac{12 - 24i - 12i + 24 {i}^{2} }{ {( - 3)}^{2} - {(6i)}^{2} } \\ = \frac{12 - 24 - 36i}{9 + 36} \\ = \frac{ - 12 - 36i}{45} \\ \frac{ - 36i}{45} + \frac{ - 12}{45} \\ thank \: you[/tex]
If(2x,x+y)=(y,9)find x and y.
Answer:
the value of X is 3 and y is 6 .
To divide 5472 by 81 using the shortened form of the division algorithm, what should be your first thought? Select from the drop-down menus to correctly complete the thought. "How many times does 81 divides into Choose... ?"
5
54
547
5472
Answer:
"How many times does 81 divide into 547?"
2x + 5y = -10
rewrite the equation in slope intercept form then identify the slope and the y intercept of the line
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 5y = - 10 ( subtract 2x from both sides )
5y = - 2x - 10 ( divide the terms by 5 )
y = - [tex]\frac{2}{5}[/tex] x - 2 ← in slope- intercept form
with slope m = - [tex]\frac{2}{5}[/tex] and y- intercept c = - 2
Graph the line that passes through the points (6,8) and (2,-2) and determine the equation of the line.
2x+7y=-6
4x-y=18 PLEASE HELP ASAP
18/73 and 4/16. Proportional or Not Proportional
Answer:
not proportional
Step-by-step explanation:
We can check using cross products
18/73 = 4/16
18*16 = 73*4
288=292
Since this is not equal, this is not proportional
How many meters does a runner cross in a circular runway with radious of 100 meters [R=3, 14]
Estimate the value of 13−−√. Between which two whole numbers?
Answer:
Step-by-step explanation:
I guess you mean √13.
3^2 = 9 and 4^2 = 16 so the square roots is between 3 and 4.
3.5^2 = 3*4 + 0.25 = 12.25 so it looks like its about 3.6.
Given the function f(x) = -x + 4, then what is f(-3x) as a simplified
polynomial?
Answer:
3x+4
Step-by-step explanation:
f(x) = - x+4
Substitute in x=-3x
f(-3x)= - (-3x) + 4 = 3x+4
Find an equation for the line with the given properties. Express the equation in slope-intercept form. Containing the points P = (-4,4) and Q = (-3,2). What is the equation of the line?
y =
Answer:
[tex]y = - 2x - 4[/tex]
Step-by-step explanation:
Slope intercept eqn:
[tex]y - y1 = m(x - x1)[/tex]
P = (-4,4) and Q = (-3,2)
Let (x1, y1) = (-4,4) and (x2, y2) = (-3,2).
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{ 2 - 4}{ - 3 - ( - 4)} = \frac{ - 2}{1} = - 2[/tex]
Therefore the equation of the line in slope-intercept form :
[tex]y - 4 = - 2(x - ( - 4)) \\ y - 4 = - 2(x + 4) \\ y - 4 = - 2x - 8 \\ y = - 2x - 8 + 4 \\ y = - 2x - 4[/tex]
92 divied by 20,884 long division
Answer:
brainliest is appreciated
answer with explanation please
Answer:
x = 8
Step-by-step explanation:
-4 + 8x = 6x + 12
Subtract 6x from both sides
-4 + 2x = 12
add 4 to both sides
2x = 16
x = 8
If my answer is incorrect, pls correct me!
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-Chetan K
I don’t even know what these are called, please explain what they are and how they work
Step-by-step explanation:
Notice the two horinzontal lines. They are parallel lines as they will never cross each other.
Notice the slant line. That is called a transversal as it crosses through both the parallel lines.
The transversal split the parallel lines into multiple angles.
Vertical AnglesAlternate Interior AnglesAlternate Exterior AnglesCorresponding AnglesLinear Pair AnglesSame Side Consecutive AnglesLook at Angle X and the angle on the upper right. They are vertical angles because they are formed by intersecting lines so they are equal to each other
Look at Angle X and the angle that is on the right of Angle 70, they are alternate interior angles as they are formed by the transversal crossing through the two parallel lines. They are equal to each other. They form a Z if you connect a them.
The upper right angle and bottom left angle are alternate exterior angles. They are formed by the transversal. They are equal to each other. They form a semi circle of you connect them.
The bottom left angle and Angle X are Corresponding Angles. They form a C shape if you connect them. They are formed by the transversal and are congruent to each other.
Angle X and 70 are same side consecutive angles. They are right next to each other on the same side of each other. They are supplementary. which means they form 180 degrees when added.
so using this info,
[tex]x + 70 = 180[/tex]
[tex] x = 110[/tex]
HELP ASAP HOMEWORK HELPPPP
Can someone please help m with this
Answer:
Step-by-step explanation:
I take it that what you are asking is which one of the three choices gives f(5) = 2.
It is not the table. When you try adding 5 in the x column, you get a much larger result than 2 for y.
And it is not the scattered points of the graph. x = 5 gives 5 on the y axis, not 2.
It is the first choice on the left.
f(5) = x - 3
f(5) = 5 - 3
f(5) = 2
Can someone Solve this math problem for me I'm having some trouble.
27×26+98÷25?
Answer:
705.92
Step-by-step explanation:
hope it's help
#MASTER GROUP
# FIRST MASTER
# PHILIPPINES
Eileen is baking a cake in a square prism shape. The volume of the cake is 224 cubic inches, and the cake has a
height of 3.5 inches. What are the side lengths of the cake?
Answer: 8 inches
Step-by-step explanation:
224/3.5 = 64
8*8=64
8in * 8in * 3.5In = 224 cubic inches
Evaluath the expression if a =
2, b = - 3, c = – 4, h = 6, y = 4, and z = -1.
|2b-3y| + 5z
Answer:
13
Step-by-step explanation:
expression =|2b-3y| +5z
Subtitute all values in expression:
=|2(-3)-3(4)| +5(-1)
=|-6-12| -5
=|-18|-5
=18-5
=13
Note:if you need to ask any question please let me know.
PLEASE HELP!!!! what is the scale reading and significant figure in the reading?
Answer:
Step-by-step explanation:0.3