Answer:
[tex]\frac{1}{5^{9} }[/tex]
Step-by-step explanation:
[tex]\frac{5^{-6} }{5^{3} }[/tex]
Rewrite [tex]5^{3}[/tex] as [tex]5^{-6}[/tex] × [tex]5^{9}[/tex]. Cancel out [tex]5^{-6}[/tex] in both numerator and denominator.
= [tex]\frac{1}{5^{9} }[/tex]
Hope it helps and have a great day! =D
~sunshine~
Answer:
[tex]\mathrm{The\:first\:option}:\quad\dfrac{ 1 }{ { 5 }^{ 9 } }[/tex]
Step-by-step explanation:
[tex]\dfrac{ { 5 }^{ -6 } }{ { 5 }^{ 3 } }[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \dfrac{ { x }^{ a } }{ { x }^{ b } } = { x }^{ a-b }[/tex]
[tex]= { 5 }^{ -6-3 }[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:-6-3=-9[/tex]
[tex]=5^{-9}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:{ a }^{ -b } = \dfrac{ 1 }{ { a }^{ b } }[/tex]
[tex]\dfrac{ 1 }{ { 5 }^{ 9 } }[/tex]
So the correct answer would be:
[tex]\mathrm{The\:first\:option}:\quad\dfrac{ 1 }{ { 5 }^{ 9 } }[/tex]
Brainliest if correct
Combine like terms:
-5u + 5u = 0
The you are left with just -8
Answer: -8
Answer:
-8
Step-by-step explanation:
-5u+5u-8=(-5+5)u-8
=(0)u-8
=-8
Emily has been considering the purchase of a used car that costs $11.656. How much money does she need to make in order to comfortably afford to buy the car?
your question might be incomplete..
Answer/Step-by-step explanation:
Whether you're paying cash, leasing, or financing a car, your upper spending limit really shouldn't be a penny more than 35% of your gross annual income. For Example: $36,000 a year, the car price shouldn't exceed $12,600. Make $60,000, and the car price should fall below $21,000.
Hence, $11,656 x 35% =4079.60
Answer = 4079.6
100 POINTS!!!!!
Dora earns a monthly salary of $2,212 plus 2% commission. Last month, she sold $19,866 worth of products. What was her gross pay?
Show work for 100 POINTS!!
====================================================
Work Shown:
2% = 2/100 = 0.02
2% of $19,866 = 0.02*19866 = 397.32
Dora earned $397.32 in commission on top of the base monthly salary of $2,212
Her total monthly pay is 2212+397.32 = 2,609.32 dollars
----------------
Optional section:
If you wanted to use a bit of algebra here, then the equation is
y = 0.02x+2212
Plug in x = 19866 and you should get y = 2609.32
Commission:-
[tex]\\ \rm\Rrightarrow 0.02(19866)[/tex]
[tex]\\ \rm\Rrightarrow 397.3[/tex]
Gross pay:-
2212+397.32609.3$[/tex]9. (a) Seven chairs are stacked in a corner. How many chair legs are left?
(b) Three chairs are taken outside. How many chair legs are left
Answer:
A) 28
B)16
Step-by-step explanation:
A)There are 7 chairs, each of the chairs have legs therefore 4×7=28
B)There are 7 chairs, 3 chairs are taken outside so 7-3=4,then 4×4=16 because there are 4 chairs left and they each have 4 legs.
a. Number of legs of 7 chairs are equals to 28.
b. Number of legs of 4 chairs are equals to 16.
What is number?"Number is defined as the symbol which is used to represents the quantity."
According to the question,
Number of legs in 1 chairs = 4
a. Number of legs of 7 chairs = 7 × 4
= 28
b. Number of legs of 4 chairs = 4 × 4
= 16
Hence, the required number of legs for given conditions
a. Number of legs of 7 chairs are equals to 28.
b. Number of legs of 4 chairs are equals to 16.
Learn more about numbers here
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HELP! Use the ratio test to determine whether the series is convergent or divergent.
Answer:
A
Step-by-step explanation:
aₙ = 5ⁿ/n!
aₙ₊₁/aₙ = [5ⁿ⁺¹/(n+1)!] / [5ⁿ/n!] = 5/(n + 1) tends to zero when n tends to infinity.
zero < 1
so the series is convergent.
Identify the smallest composite number that you can create by multiplying two different composite numbers
Answer:
Step-by-step explanation: A composite number is defined to be a number which has other divisors besides 1 and the number itself. Start counting:1, 2, 3, 4, 5, 6……….
1 is not a composite number because its sole divisor is 1. 2 is not a composite number because it has only two divisors 1 and the number 2 itself. 3 is in the same class as 2.
But 4 is different. Its divisors are 1,2,4. So this number satisfies the criterion of a composite number as stated above since besides 1 and 4, 2 is also a divisor. 4 is also the smallest composite number. The next composite number after 4 is 6 which has as divisors 1,2,3,6.
Step-by-step explanation:
hope this helps
Answer:
24
Step-by-step explanation:
the smallest composite number is 4.
If those 2 composite numbers are different - then the answer is 24, because 6 is the second smallest (5 is prime) composite number, and 4•6=24.
What linear function represents the line given by the point slope equation y-2=4(x-3)
Answer:
get your stuff together yo
Step-by-step explanation:
solve for y homeboy you dont need my help cuh
Question 1 :
What is the smallest number by which 256 may be divided so that the quotient is a perfect cube?
(A) 2 (B) 3 (C) 4
Question 2 :
How many digits are there in the square root of 4456321?
(A) 2 digits (B) 4 digits (C) 3 digits
Question 3 :
Find the value of 3x3 - 4x2 + x - 5 when x = -3
(A) -54 (B) -71 (C) -32
Question 4 :
The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of the rectangle.
(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm
Question 5 :
What must be added to each of the numerator and the denominator of the fraction 7/11 to make it equal to 3/4
(A) 9 (B) 5 (C) 12
Question 6 :
A line which intersects two or more lines at a distinct points is called a ____________
(A) concurrent (B) Intersecting (C) Transversal
Question 9 :
The circumference of a circle is 44 cm.Find its area (use π=22/7)
(A) 154 cm2 (B) 130 cm2 (C) 145 cm2
Question 10 :
The volume of a right circular cylinder is 1100 cm3 and the radius of its base is 5 cm. Calculate its curved surface area.
(A) 410 cm2 (B) 125 cm2 (C) 440 cm2
* please help me with this I want to see how smart you guys are *
Answer:
1.) A
sorry I’m not smart so that’s the only one I know
Step-by-step explanation:
8
ar
5 points . Find your heart rate, as well as the
heart rate of a friend. Using this information and
So what you know about pattern rules and
algebraic equations, explain why figuring out
how many times your heart beats in 24 hours is
not any more difficult than figuring out how
many times it beats in one hour. Present this
Information in the format of your choice.
Which of the following Statements are true?
Statement 1: A cube has 12 edges.
ccess
Statement 2: A triangular pyramid has 4 faces.
Only Statement 1 is True.
Only Statement 2 is True.
Both Statements are True.
Neither Statement is True.
Answer:
Both statements are true
Step-by-step explanation:
please help! i can’t seem to find a answer for this question.
D. (2,7)
it lines up with the others to form a rectangle
A ladder is leaning up against the side of a house. Use two points
to find the slope of the ladder. Then verify that the slope is the
same at a different location by choosing a different set of points.
Answer:
The slope is 2.
Step-by-step explanation:
Slope = rise / run, meaning that when you move 2 units up, you move 1 unit right. The slope here is positive.
To solve the equation 30 + 9x = - 0.5|x - 1| - 2 Draymond let f(x) = - 30 + 9x and g(x) = - 0.5|x - 1| - 2 Then, he graphed y = f(x) and y = g(x) as shown
The solution of a graph is the point where the lines of the graph meet
The solution of the equations is (3-,3)
How to determine the solutionTo determine the solution, we simply mark the point of intersection of the graphs of functions f(x) and g(x)
From the graph, we have the point of intersection to be
(x,y) = (3-,3)
Hence, the solution of the equations is (3-,3)
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Given the piecewise function above evaluate the following statements. (write "DNE" if the limit does not exist)
By analyzing the graph of the function, we will see that:
a) DNEb) 3c) -1d) 3e) DNEf) 2How to get the limits of the given function?
Remember that when we take a limit to a given value, we approach to that value by two directions (from above and below) and see at which value the function approaches.
So, for the first limit we have:
x ⇒ -2
As you can see, if we approach from below the function tends to 4, while if we approach from above, the function tends to -1, which means that this limit does not exist. DNE.
x ⇒ 0
The function is continuous here, so the limit is equal to the value of the function in that point, which is 3
x ⇒ 2
If we approach from above and below we get the same number, which is -1, so the limit is equal to -1.
x = 2
Now we are directly evaluating the function in x = 2, and we can see that there is a jump such that f(2) = 3
x ⇒ 4
Here we have two asymptotes, one goes to infinity and the other to negative infinity, so this limit does not exist.
x ⇒ ∞
So we can't see how the function behaves for large values of x, so there is no way to answer this exactly.
If we suppose that the function does not change, we can see that we have a rational function in the right side of the image, so we can expect that as x tends to infinity, the function will tend asymptotically to 2.
Why 2?
Because the denominator becomes zero when x = 4, then when x = 5 the denominator is equal to 1.
At that point, the function is equal to 3, so the function is something like:
y = 1/(x - 4) + 2
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A Titan rocket is 80 feet high. For his science project, Joe will build a scale model of the rocket.
How tall will his model be if he uses the scale 1 inch = 5 feet?
Classify the triangle by side length and angle measurement.
A: Scalene, acute
B: Isosceles, acute
C:Scalene, right
D: equilateral, obtuse
Answer:
C
Step-by-step explanation:
The sides are different lengths when you look at them and then the 90° angle is already given
Answer:
The triangle is classified as a "right angle" because the little box at the bottom left mean it's exactly 90 degrees.
Step-by-step explanation:
TO WHOEVER ANSWERS THIS QUESTION WILL RECIEVE A BRAINLIEST! I NEED THIS IN 1 HR SO PLEASE RESPOND AS SOON AS POSSIBLE!! THANKS!!!!!
51.25 per month which is $615 per year
They save 5 per month if they pay full year
(51.25-5)= 46.25 per month is $555
so it costs $555 if they pay all at once.
Answer:
mine is the same answer $555
Round 705,499 to the nearest thousand.
Answer:
705,000
Step-by-step explanation:
To round to the nearest thousand, you look at the number to the right of 5. If the number is 5 or higher then you round 5 up. But it is 4 so you keep 5 the same. All of the numbers after 5 are now 0. 705,000
Answer:
705000. Hope this helps!!!!!
Simplify the expression:
1x+10y=4+3
Answer:
Simplify the expression:
1x+10y=4+3
Step-by-step explanation:
1 : x+10y=4+3
x+10y=4+3
x+10y=7
x+10y-10y=7-10y
x=7-10y
hope it helps
Answer:
x=7-10y
Step-by-step explanation:
Add the numbers with no variables:
4+3=7
1 and x are the same so the 1 cancels out u get x and since your solving for x you would put x=:
Since you got rid of the would you have to swap the equations around:
x=7-10y
PLEASEEEE I NEED A ANSWER ASAP!!!!
A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 3300 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 60-kilogram crates that can be loaded into the shipping container.
((60 * c) + 3300 ≤ 24000
60c ≤ 24000 - 3300
60c ≤ 20700
c ≤ 20700 / 60
c ≤ 345
Step-by-step explanation:
60x + 3300 = 24000
60x = 24000 - 3300
60x = 20700
x = 345
The table shown lists random points found on a coordinate plane.
Using a minimum of three points, create two linear functions. Prove the line created works exclusively with the three points by justifying how the x-value and y-value fit into the equation for the line.
The equation of the line passing through (-1, 1) and (0, 10) is y = 9x + 10.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where m is the rate of change (slope) and b is the initial value of y.
Given the points (-1, 1) and (0, 10). The equation of the line passing through this point is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x - x_1)\\\\y-1=\frac{10-9}{0-(-1)}(x-(-1))\\ \\y=9x+10[/tex]
The equation of the line passing through (-1, 1) and (0, 10) is y = 9x + 10.
Find out more on linear equation at: https://brainly.com/question/14323743
What’s the answer???
Answer:
567 i think
Step-by-step explanation:
Which table correctly lists the three solutions for the equation 5x + y = 14?
A)
х
-1
0
1
у
-5
0
5
5
B
B)
Х
-1
0
1
у
21
28
7
C)
х
-1
0
1
y
9
14
19
D)
х
-1
0
1
у
19
14
9
9
Answer:
a optionis a correct answer
Answer:
D will be your answer.
Step-by-step explanation:
solve the equations for y by replacing x with the numbers in the chart.
5x+y=14
start by isolating y by subtracting 5X from each side.
y= -5x + 14
y = -5(-1) + 14
y = 5 + 14
y = 19
y= -5x +14
y= -5 (0) +14
y= 14
y = -5x + 14
y = -5 (1) + 14
y = -5 + 14
y= 9
Estella brushes her teeth for t minutes twice a day. She uses the expression tx2x365 to represent how many times a day write an equivalent expression
Answer:
730·t
Step-by-step explanation:
365*2= 730
Hope this helps
Bug P starts at 0 and moves along a number line in the positive
direction. Bug N starts at 0 and moves in the negative direction. Each
bug moves at a constant speed, but one bug travels faster than the other.
Bugs P and N leave 0 at the same time, and four seconds later P is at 12
and N is at –8
a) Suppose Bug P reaches point x in t seconds, and Bug N reaches
point y in t seconds. Express x in terms of t. Then express y in terms
of t.
b) How far apart are bugs P and N thirty seconds after leaving point 0?
c) When will bugs P and N be 300 units apart?
d) Draw a graph that shows how the distance between the bugs depends on
the amount of time that has passed.
e) Is the distance between the bugs directly proportional to time, inversely
proportional to time, or neither?
By getting the motion equations for the bugs, we will see that:
a)
x = (3 units per seg)*ty = (-2 units per seg)*tb) 150 units.
c) 60 seconds
d) The graph can be seen at the end.
e) Directly proportional.
Getting the motion equations:
a) We know that bug P moves 12 units in 4 seconds, then its velocity is:
Vp = 12/4s = 3 units per seg.
And bug N moves -8 units in 8 seconds, then its velocity is:
Vn = -8/4s = -2 units per seg.
Then we have:
x = (3 units per seg)*ty = (-2 units per seg)*tb) The distance between the bugs at the time t is:
d = x - y
At 30 segs, that distance is:
d(30s) = (3 units per seg)*30s - (-2 units per seg)*30s = 150 units.
c) Now we need to write:
d = 300 units = (3 units per seg)*t - (-2 units per seg)*t
300 units = (5 units per seg)*t
(300 units)/(5 units per seg) = t = 60s
The distance between the bugs will be 300 units after 60 seconds.
d) The graph of:
d(t) = (5 units per seg)*t
Can be seen at the end.
e) As the time increases also does the distance, so these two are proportional.
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A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on square 15? Also find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume that each grain of wheat weighs 1/7000 pound.)
Answer:
Square 15: 16,384
Sum of all grains up to and including square 15: 32,767
Total weight up to and including square 15: 4.681 lb
Step-by-step explanation:
Square 1: 1 = 2^0
Square 2: 2 = 2^1
Square 3: 4 = 2^2
Square 4: 8 = 2^3
Notice that the exponent of the 2 is 1 less than the number of the square, so for square n, the number of grains is 2^(n - 1)
Square n: 2^(n - 1)
Square 15: 2^(15 - 1) = 2^14 = 16,384
Now let's look at the sums.
Square 1 sum: 1
Square 2 sum: 1 + 2 = 3
Square 3 sum: 3 + 4 = 7
Square 4 sum: 7 + 8 = 15
Notice that each sum is one grain less than 2 raised to the number of the square.
Square 1 sum: 1 = 2^1 - 1
Square 2 sum: 1 + 2 = 3 = 2^2 - 1
Square 3 sum: 3 + 4 = 7 = 2^3 - 1
Square 4 sum: 7 + 8 = 15 = 2^4 - 1
Square n sum: 2^n - 1
Square 15 sum: 2^15 - 1 = 32,767
Weight:
32,767 × 1/7000 lb = 4.681 lb
A news report says that 28% of high school students pack their lunch.
Your high school has 600 students.
How many students in your high school would you expect to pack their lunch?
A.17 students
B.28 students
C.168 students
D.210 students
In a recipe mike uses 4 cups of brown sugar for every 3 cups of flower. What is ratio of flour to brown sugar SIMPLEST FORM.
Answer:
3:12 = 1:4
Step-by-step explanation:
3 cups of flour = 4 cups brown sugar
4 x 3 = 12
3:12 = 1:4 (simplest form)
c.) 4. Solve the system of equations
and write the solution in the blank.
y = -3x + 4
y = 4x – 10
g(n) = f(n)
f(n) = 2n² + 6
g(2) = ?
»f(n) = 2n² + 6
so, g(n) = 2n² + 6
»g(2) = 2(2)² + 6
»g(2) = 2(4) + 6
»g(2) = 8 + 6
»g(2) = 14✅
As
[tex]\\ \rm\Rrightarrow g(n)=f(n)[/tex]
[tex]\\ \rm\Rrightarrow g(2)=f(2)=14[/tex]