[tex] \frac{3x {}^{2} }{5x {}^{2} } = \frac{3}{5} [/tex]
hey guys how do you simplify this fully?
Answer:
32
Step-by-step explanation:
In 100^1000,
100 can be written as,
100 = 10 x 10 = 10^2
100^1000
= 10^( 2 * 1000 )
= 10^2000
10 can be written as,
10 = 2 x 5
10^2000
= ( 2 x 5 )^2000
Formula : -
( a x b )^n = a^n x b^n
Here,
a = 2
b = 5
n = 2000
( 2 x 5 )^2000 = 2^2000 x 5^2000
[ 2^2005 x 5^2000 ] / 100^1000
= [ 2^2005 x 5^2000 ] / [ 2^2000 x 5^2000 ]
Formula : -
a^m x b^n / a^c x b^d
= a^( m - c ) x b^( n - d )
Here,
a = 2
m = 2005
c = 2000
b = 5
n = d = 2000
[ 2^2005 x 5^2000 ] / [ 2^2000 x 5^2000 ]
= 2^( 2005 - 2000 ) x 5^( 2000 - 2000 )
= 2^5 x 5^0
{ Note : Any number power 0 ( except 0 ) is 1.
That is 0^0 ≠ 1, but 5^0 = 1. }
= 2^5 x 1
= 2^5
= 2 x 2 x 2 x 2 x 2
= 32
Which data set has a mode of 17 and a median of 16?
12, 12, 18, 13, 17, 15, 17, 17, 15
20, 19, 17, 18, 16, 13, 12, 13, 11
12, 13, 14, 15, 16, 17, 18, 20, 17
Answer:
12, 13, 14, 15, 16, 17, 18, 20, 17
The data set with mode 17 and median 16 is third data set.
What is Mode and Median?Mode of a data set is the value that occur most frequently in a data set.
Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.
Given are three data sets.
For the first one,
12, 12, 18, 13, 17, 15, 17, 17, 15
Mode = 17 [Since it is repeated most 3 times]
To find median, arrange in ascending order.
12, 12, 13, 15, 15, 17, 17, 17, 18
Three are 9 elements. The middle element is the 5th element.
Median = 15
For the second one,
20, 19, 17, 18, 16, 13, 12, 13, 11
Mode = 13 [ since it is repeated most, 2 times]
Arranging in ascending order,
11, 12, 13, 13, 16, 17, 18, 19, 20
Again the middle element is the 5th element.
Median = 16
Hence the correct option is third data set.
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Here is the question
Step-by-step explanation:
the bounded region is from (0,0) to (1,1)
since the cross sections of the solid is perpendicular to the x axis and are square
so cross section area is (x-x2 )^2
so V=integral from 0-1(x-x^2)^2dx
v=integral (x^2-2x^3+x^4)dx
v=1/3x^3-1/2x^4+1/5x^5]01
v=1/3-1/2+15=1/30 unit^3
The base of a rectangular prism is 7 cm long,and 5 cm wide. If the surface area of the prism
is 310 cm², what is the volume of the
prism?
Answer:
V=280
Step-by-step explanation:
7·5=35
310\35 = 8.8
V=whl=5·8·7=280
An attorney charges a fixed fee on $250 for an initial meeting and $150 per hour for all hours worked after that. Write an equation in slope-intercept form. Find the charge for 26 hours of work.
Answer:
y=150x+250
Charge: $4,150
Step-by-step explanation:
Set the number of hours the attorney worked equal to x and the total amount of money he charges equal to y. If he charges 150 dollars an hour, then the amount of money he charges would be 150 dollars multiplied by the number of hours he worked. Thus, y=150x.
Next, it is known that the attorney also charges a fixed rate of 250 dollars for the initial meeting, so we have to add that to the amount of money he makes each hour, as it is a flat rate. Thus, y=150x+250.
Finally, if the attorney worked for 26 hours, we would then plug that number into the equation we created for x, the number of hours worked. Thus the total charge of the attorney would be $150 multiplied by 26 hours, $3900, and then adding the $250 flat rate for the initial meeting, for a grand total of $4,150.
Hope this helps!
What is 1000x45553x5305806x643598754?
Answer:
= 1.55554846 × [tex]10^{23}[/tex]
what is the area of the shaded region in the figure shown use 3.14 for the and round your answer to the nearest tenth
Step-by-step explanation:
Area Of rectangle = 9 ×5 = 135
Area Of Half The Circle = 0.5 ( 3.14 ) (r^ 2) = 0.5(3.14 (20.25) = 31.7925
Area Of Shaded = Area Of Rectangle
= Area of Half Circle = 135 - 317925 = 103.2
Can Anyone Help Me ??!?
Answer:
D
Step-by-step explanation:
this is a "strategic" guess
Help me out this is confusing. Just take these points..
I think there might be a mistake/typo. If the book had 385 pages, the answer would be 8,855. But it says the book has 365 pages, so the answer would be 8,395.
Reasoning:
It says to multiply the pages by 23, and it says there are 365 pages. When you multiple that, you get 8,395.
Therefore I think there was a mistake when writing the question.
Answer:
I'm not sure what going on with that, just email your teacher ig
Step-by-step explanation:
16x5=? then its the answer to that question x 128 please help I need to get this right.
Find the slope of each line.
Answer:
[tex]\displaystyle 1\frac{2}{3}[/tex]
Step-by-step explanation:
From [tex]\displaystyle [-1, -3],[/tex]move five units south over three units east, where you will arrive at [tex]\displaystyle [2, 2].[/tex]The rate of change is indeed [tex]\displaystyle 1\frac{2}{3}.[/tex]If you are uncertain, plug these ordered pairs into the formula:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ [-1, -3]\:and\:[2, 2] \\ \frac{2 + 3}{2 + 1} = m \hookrightarrow \frac{5}{3} = m \\ \\ \boxed{1\frac{2}{3} = m}[/tex]
I am joyous to assist you at any time.
This is the other question!
Step-by-step explanation:
I think the correct answer is false. true and true
Ms. Ramirez earns 250 each week plus 7% of any amount she sells. she earned 845 last week. How much did she sell ?
Answer:
8500
Step-by-step explanation:
That's my answer and thats correct brainliest me please trust me
Answer:
8500
Step-by-step explanation:
hope it helps you bro
(HELP PLEASE) A molecule may contain two atoms of the same element.
True or False
Answer:
true
Step-by-step explanation:
molecules can have the two same atoms, hope this helps!!
A(2, 3) is reflected over the x-axis , where is the point reflected
Answer:
Point D
Step-by-step explanation:
Point A is located at (2, 3) on the coordinate plane. Point A is reflected over the x-axis to form point B and over the y-axis to form point C. Then, point A is reflected over both axes to form point D.
13. A local radio station is having a contest in which every 12th caller
receives a CD and every 10th caller wins free concert tickets. What
number caller would you need to be to win both prizes?
what is 8/4 as a mixed number
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex]\frac{8}{4}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2\\[/tex]
[tex]=2[/tex]
50 is what percent of 275
50 percent of 275 is 137.5
Answer:
50 is 18.18% of 275
Step by step guide!
50 of 275 can be written as 50/275
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
50/275* 100/100
= (50 * 100 /275) × 1/100 = 18.18/100
Therefore, the answer is 18.1818%
To investigate the influence of distracted driving, 13
volunteers were asked to participate in a study involving
a driving simulator. The participants drove at a safe
speed but were told to stop the car at a random moment
during the simulation. The scatterplot shows the reaction
time and the simulated car's stopping distance (in feet)
for each volunteer. The value of r for the scatterplot is
0.935.
Driving Reaction Times
How would the correlation change if the stopping
distances were recorded in meters, rather than feet?
O The value of the correlation coefficient would not
change.
O Since the points would be more spread out, the value
of the correlation coefficient would decrease.
O Since the number of meters would be less than the
number of feet, the value of the correlation coefficient
would increase.
© Since the number of meters would be less than the
number of feet, the value of the correlation coefficient
would decrease.
The value of the correlation coefficient remains the same when the unit is changed from feet to meters.
What is correlation coefficient?The term correlation coefficient is a measure of how much association there is between variables in a scatter plot. A high positive value of correlation coefficient means that there is a strong positive association between the variables and vice versa.
If we change the measurement unit from feet to meters, the value of the correlation coefficient will remain the same.
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Answer:
its a
Step-by-step explanation:
Given the parent function f(x)=|x|, write the equation of the function g(x) whose graph is pictured
F(x) =|x|g(x)
G(x)= ????
By analyzing the graph of the transformed function, we can see that:
g(x) = 2*|x - 2| - 4
How to get the function g(x)?
In the image we have two graphs, the yellow one is the graph of g(x).
First, analyzing the vertex we can see the translation used, you need to remember:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
If N is positive, the shift is to the left.If N is negative, the shift is to the right.Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
If N is positive, the shift is upwards.If N is negative, the shift is downwards.We can see that the new vertex is at (2, -4), so the translation is 2 units to the right and 4 units down, then we have:
g(x) = |x - 2| - 4
Now, you also can see that the yellow function is narrower, such that for each increase in the x-unit, we have an increase of 2 in the y-axis, then we need to multiply by 2 the absolute value part:
g(x) = 2*|x - 2| - 4
This is the transformed function.
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Tiana invests $83,927 in a start-up company. She will be repaid at the end of 7
years at 7% interest compounded annually. Find the amount of interest she will
earn on this investment.
DO NOT ROUND ANY NUMBERS UNTIL YOUR FINAL ANSWER!
Round to the nearest dollar.
Answer:
Tiana will earn approximately $50,841 with her investment amount total to be $134,768.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra II
Compounded Interest Rate Formula: [tex]\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}[/tex]
P is principal amountr is raten is compound ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables.
P = $83,927
r = 0.07
n = 1
t = 7
Step 2: Find Return Investment
Substitute in variables [Compounded Interest Rate Formula]: [tex]\displaystyle A = 83927 \bigg( 1 + \frac{0.07}{1} \bigg) ^{1(7)}[/tex][Order of Operations] Evaluate parenthesis: [tex]\displaystyle A = 83927(1.07)^{1(7)}[/tex][Order of Operations] Simplify exponents: [tex]\displaystyle A = 83927(1.07)^{7}[/tex][Order of Operations] Evaluate exponents: [tex]\displaystyle A = 83927(1.60578)[/tex][Order of Operations] Multiply: [tex]\displaystyle A = 134768.4219764[/tex]Find difference: [tex]E = 134768.4219764 - 83927[/tex][Order of Operations] Subtract: [tex]E = 50841.4219764[/tex]Round: [tex]E \approx 50841[/tex]∴ After Tiana invests $83,927 with a 7% interest compounded annually in a timeframe of 7 years, she would make $50,841 with a total account value of $134,768.
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Topic: Algebra II
after a 20% increase, there was 48 marbles in the bag. how many marbles was in the bag originally?
Answer:
60
Step-by-step explanation:
can someone help me please
Answer:
B is the answer
Step-by-step explanation:
(10×2 +1/2)÷(2×4+1/4)
(21/2)÷(9/4)
Then calculate it and the answer is B
The radii of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5 : 4 . The ratio (in the simplest form) of their volumes is
Step-by-step explanation:
Given radii ratio is 2:3 and height ratio 5:3
Let the radius be 2x,3x and height be 5y,3y
V1= π(2x²) ×5y
V2 =π(3x)² ×3y
V1= (2×2)² ×5 *π = 20π
V2= (3×3)² ×3 *π = 27π
V1/V2 = 20π\27π
=20\27
=20:27
Answer:5:9
Step-by-step explanation:
:14=15:21lololololol i have to put 20 characters lolol
Answer:
10
Step-by-step explanation:
x:14=15:21
14/21 = 2/3
Multiply each term by 2/3
15 *2/3 :21*2/3
10:14
The missing number is 10
If Mrs. Coates uses 10 scoops of baking soda for
every 15 cups of water in her science experiment. She
uses a total of 45 cups of water. How many scoops of
baking soda does she need?
Cleaning pumps remove waste from a dump site at the rate modeled by the function R, given by r of t equals 3 plus 2 times the cosine of the quantity 2 times pi times t divided by 15 with t measure in hours and and R(t) measured in tons per hour. How much waste will the pumping stations remove during the 8 hour period from t = 0 to t = 8? Give 3 decimal places.
By integrating the rate, we will see that waste pumped from t = 0 to t = 8 is A = 24.279
How to get the waste pumped in that interval?
We have the function:
R(t) = 3 + 2*cos(2pi*t/15)
This is the rate at which the waste is removed, then the waste that the station pumps between t = 0 and t = 8 is given by:
[tex]A = \int\limits^8_0 {3 + 2*cos(2pi*t/15)} \, dt[/tex]
That integral gives:
[tex]A = \int\limits^8_0 {3 + 2*cos(2pi*t/15)} \, dt \\\\A = 3*(8 - 0) + 2*(15/2pi)*(sin(2pi*8/15) - sin(2pi*0/15))\\\\\\A = 24.279[/tex]
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The admission fee at a local zoo is $1.50 for children and $6.00 for adults. On a certain day, 2100 people
enter the zoo and $9, 450.00 is collected. How many children and how many adults attended?
Raspberries cost twice as much as blueberries. A B The prices of blueberries and raspberries represent proportional relationships. Cost (dollars) Raspberries Weight (lb.) Raspberries Select all of the graphs that could represent the cost of raspberries and blueberries. (Select all that apply.)
answer choices are in the attached picture
Answer:
I believe A and B
Step-by-step explanation:
C cant be it due to the blueberry price being more and I dont believe its D
Graph [1] will represent the cost of raspberries and blueberries perfectly.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of straight line also represents direct proportionality as -
y = mx
m = y/x
[m] is constant of proportionality.
We have Raspberries (R) cost twice as much as blueberries (B). The prices of blueberries and raspberries represent proportional relationships.
We can write the relation as -
y[R] = 2 x[B]
Graph [1] will represent the cost of raspberries and blueberries perfectly. The slope of the line representing raspberry is 2 times that of blueberry.
Therefore, Graph [1] will represent the cost of raspberries and blueberries perfectly.
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Different types of encoding affect a person’s ability to remember words. You can test this by asking a participant to first do a task involving either visual, auditory, or semantic encoding. Then ask the participant to recognize the encoded words. For example, for visual encoding, the participant may be asked to judge whether the word appears in all capital letters, whereas for auditory encoding, the participant may be asked to judge whether the word rhymes with another word.
A professor of cognitive psychology is interested in the percent accuracy on this memory encoding task among college students. She measures the percent accuracy for 49 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average percent accuracy on this memory encoding task among college students is 0.794 percent correct with a standard deviation of 0.105 percent correct.
The computation of the data shows that the standard error is 0.015.
How to calculate the standard error?From the information, the following can be deduced:
Number of students n = 49
Randomly selected students = 0.794
The standard error will be:
= 0.105/✓49
= 0.105/7
= 0.015
In conclusion, the standard error is 0.015.
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