Given:
The expression is
[tex]\dfrac{10^0r^{-11}s}{3^2}[/tex]
To find:
The simplified answer using only positive exponents.
Solution:
We have,
[tex]\dfrac{10^0r^{-11}s}{3^2}[/tex]
[tex]=\dfrac{(1)r^{-11}s}{9}[/tex]
[tex]=\dfrac{r^{-11}s}{9}[/tex]
Using properties of exponents, we get
[tex]=\dfrac{s}{9r^{11}}[/tex] [tex]\left[\because a^{-n}=\dfrac{1}{a^n}\right][/tex]
Therefore, the required answer is [tex]\dfrac{s}{9r^{11}}[/tex].
The required simplified value is [tex]\frac{s}{9r^{11}}[/tex]
Exponent: Exponent is defined as the method of expressing large numbers in terms of powers.
The given expression is,
[tex]10^0r^{-11}\frac{s}{3^2}[/tex]
The given expression can be simplified as,
[tex]10^0r^{-11}\frac{s}{3^2} =1\times r^{-11}\frac{s}{9} \\=\frac{s}{9r^{11}}[/tex]
So, the simplified value of the given expression is,
[tex]\frac{s}{9r^{11}}[/tex]
Learn more information about Exponent: https://brainly.com/question/8008182
hi was wondering if I could get some help on this the person who has the best answer gets brainly
Answer:
6/8
Step-by-step explanation:
Your town has seen a steady decrease of job opportunities by the amount of 10% every year. If the number of jobs available at the end of last year was estimated at 350,000, then how many jobs will there be by the end of the following year? a. 45,000 c. 35,000 b. 385,000 d. 315,000 Please select the best answer from the choices provided A B C D
Answer:
315000 (D)
Step-by-step explanation:
100%-> 350000
90%->315000
2/3s-4/3=s/6+2/3 solve for s
Answer:
s = 4
Hope this helps :)
HELPPPP DUEEE IN A FEW MINSSS PLS HELPPP
(08.06) A student wants to report on the number of meals his friends buy each week. The collected data are below: 4,19,3,3,2,3,2,4. Which measure of center is most appropriate for this situation and what is its value?
Answer:
median
Step-by-step explanation:
For a group of data with one big outlier, the mean is thrown off.
Like a room of 10 people who each make $50,000 a year except for one person who makes $2 million a year. The mean average for that group would be $245,000 a year but it reflects the actual circumstance of NOBODY in the room.
The median is more refective of the 'average' in these situations.
Intrigued by a 2013 study at the University of Nebraska that suggested marijuana smokers may be thinner than other adults, a group of students did a project to explore the relationship between body mass index (BMI) and amount of time spent under the influence of marijuana (measured in hours per week). Based on a random sample of 33 students at their university, they used BMI as the response variable. The equation of the least-squares regression line is: hours per month under influence = 49.2−1.15 BMI. Also, r2=0.134 .
this question is incomplete, the complete question is:
1. is this model effective
2. what is the correlation coefficient for this data.
3. for a student with a bmi of 25, what is the predicted number of hours under the influence.
Step-by-step explanation:
1. first of all this model is not effective because we have r² as 0.134. this tells us that only 13.4 percent of the of the variations that exist in this data has been explained by the model
1. we get the correlation coefficient by
[tex]+-\sqrt{r^{2} }[/tex]
the regression slope coefficient has a negative sign. this is what we would use in calculating the correlation coefficient.
[tex]-\sqrt{r^{2} }[/tex]
= -√0.134
= -0.366
therefore the correlation coefficient is -0.366
2. to get the number of hours under the influence with a bmi of 25
the equation is
49.2-1.15bmi
= 49.2-1.15(25)
= 49.2-28.75
= 20.45
mr dela cruz uses 18 yards of cloth for making 5 pants how many pants will he make for 72 yards of cloth
Answer:
18÷5= 3.6
3.6 = 4 yards
72 yards of cloth ÷ 4 yards of cloth = 18 pants
Step-by-step explanation:
3.6 yards rounded to the nearest is 4. So it takes 4 yards of cloth to make 1 pants. Since it takes 4 yards of cloth to make 1 pants, we simply divide 4 yards into 72 yards which equals to 18 pants.
Does anyone know the answer and could you explain how you got your answer? THANK YOUU
Answer:
This would be a 60% increase
Step-by-step explanation:
40-25 and divided by 25 times 100
you should get 15/25 multiply it by 100=60%
The following data represent the number of eggs, in ten-thousands, which were sold by various grocery stores in the month of November. Construct a dot plot for the given data.
5 16 13 15 7 7 5 10
14 16 12 12 11 5 11 4
Answer:
See explanation and attached file
Step-by-step explanation:
A dot plot is a chart that is created using data points. It is one of the easiest ways of plotting the distribution of data and they make it a lot easier to see data. It is like a bar chart but instead of bars, you have dots.
It is created by counting the number of data that a particular variable has and drawing the corresponding number of dots above it.
See attached file
<A and <B are complementary
angles. if m<A =(6x-4)° and <B=(x+17)° then find the measure of <A
Answer:
<A = 62
Step-by-step explanation:
<A and <B add up to 90 degrees. Definition of Complementary.
<A + <B = 90
(6x - 4) + (x + 17) = 90
7x + 13 = 90
7x = 77
x = 11
<A = 6x - 4
<A = 6(11) - 4
<A = 66 - 4
<A = 62
Find the measure of the missing angle.
pls help I will give brainliest and 50 points!
Answer:I think it is 82
Step-by-step explanation: because a straight line is 180° and 180-98=82
PLEASE HELP ME !!!!!!!
Answer:
Joe and Lulu
Step-by-step explanation:
Ken ran 2.5 kilometers, 5,250 meters and 75,650 centimeters. how many meters did Ken run?
Answer:
8506.5
Step-by-step explanation:
1 km = 1000 meter
2.5 km = 2.5 * 1000 = 2500 meters
5250 m does not require any conversion 5250 meters
1 meter = 100 cm
75650 cm = 75650/100 756.5 meters
Total 8506.5 meters
nzwxecrtvbyvtrcexwzqzwxecrtvbynu 7 1/2÷56 nkjnknlnlk
Answer:
0.1
Step-by-step explanation:
0.13392857142857142857142857142857
answer please show work
Answer:
That's too small for me
Step-by-step explanation:
what is 23 x 33 - 21
Answer:
738
Step-by-step explanation:
Start by multiplying..
23 x 33 = 759
Next subtract..
759 - 21 = 738
Final answer is 73840 people can sit in four cabs. How many people can sit in 19 such cabs? *
Answer:
Step-by-step explanation:
190 ppl
40 ppl per 4 cab
10 ppl per cab
10 times 19 cabs = total of ppl
If you solve the equation: ax+by/c=d for x, what would you get?
the sum of 1/7 + 2/5
Answer:
19/35
Step-by-step explanation:
helppp pleaseee ty! :(
Answer:
A
Step-by-step explanation:
Please Help Me ASAP.
Answer:
Parallel lines ALWAYS have the same slope
Step-by-step explanation:
The equations have unequal slopes, meaning they aren't parallel.
A triangle with side lengths of 15, 18, and 25 is a right triangle. True or False
I’m kinda confused? Can you help me ?
g (1 point) Find the angle between the diagonal of a cube of side length 8 and the diagonal of one of its faces, so that the two diagonals have a common vertex. The angle should be measured in radians. (Hint: we may assume that the cube is in the first octant, the origin is one of its vertices, and both diagonals start at the origin.)
Answer:
Angle between the diagonal of a cube of side length 8 and the diagonal of one of its faces is equal to [tex]0.6155[/tex] radian
Step-by-step explanation:
Please see the attached image for better understanding
Length of OB is equal to
[tex]\sqrt{19^2 + 19^2 }[/tex]
[tex]19\sqrt{2}[/tex]
Now the length of OE is equal to
[tex]\sqrt{19^2 + 19^2 + 19^2 } = 19 \sqrt{3}[/tex]
Now Angle BOE is equal to
[tex]cos^{-1} (\frac{722}{19\sqrt{2}* 19\sqrt{3} }) = 0.6155[/tex] radians
Angle between the diagonal of a cube of side length 8 and the diagonal of one of its faces is equal to [tex]0.6155[/tex] radian
What is the simplified form of the rational expression below?
3x2 - 48
2x +8x
Answer:
Can you clarify the syntax? what goes where the '??' is below?
Step-by-step explanation:
32x^2 -48 ?? 2x+8x
Consider the following data. Click on the datafile logo to reference the data.
14 21 23 21 16 19 22 25 16 16 24 24 25 19 16 19 18 19 21 12 16
17 18 23 25
20 23 16 20 19
24 26 15 22 24
20 22 24 22 20
Summarize the data by filling in the frequency (to the nearest whole number), the relative frequency (3 decimals), and the percent frequency (1 decimal) values below.
Class Frequency Relative Frequency Percent Frequency 12-14 % 15-17 % 18-20 % 21-23 % 24-26 % (Total) %
Answer:
[tex]\begin{array}{cccc}{Class} & {Frequency} & {Relative Frequency} &{Percent\ Frequency}\ \\ {12-14} & {2} & {0.05} & {5\%}& {15-17} & {8} & {0.200}&{20\%}& {18-20} & {11} & {0.275} & {27.5\%}& {21-23} & {10} & {0.250} &{25\%}& {24-26} & {9} & {0.225}&{22.5\%} & {Total} & {40} & {1} & {100\%}\ \end{array}[/tex]
Step-by-step explanation:
Required
Complete the table.
First, group the data according to the class.
So, we have:
12-14:- 14 12 --- Frequency is 2
15 - 17:- 16 16 16 16 16 17 16 15 --- Frequency is 8
18 - 20:- 19 19 19 18 19 18 20 20 19 20 20 --- Frequency is 11
21 - 23:- 21 23 21 22 21 23 23 22 22 22 --- Frequency is 10
24 - 26:- 25 24 24 25 25 24 26 24 24 --- Frequency is 9
Next, fill the class frequency column
[tex]\begin{array}{cc}{Class} & {Frequency} \ \\ {12-14} & {2} & {15-17} & {8} & {18-20} & {11} & {21-23} & {10} & {24-26} & {9}\ \end{array}[/tex]
Relative frequency is calculated by dividing each frequency by the total frequency (40).
So, we have:
[tex]\begin{array}{ccc}{Class} & {Frequency} & {Relative Frequency}\ \\ {12-14} & {2} & {0.05} & {15-17} & {8} & {0.200}& {18-20} & {11} & {0.275} & {21-23} & {10} & {0.250} & {24-26} & {9} & {0.225}\ \end{array}[/tex]
The percent frequency is calculated by multiplying the relative frequency by 100%.
So, we have:
[tex]\begin{array}{cccc}{Class} & {Frequency} & {Relative Frequency} &{Percent\ Frequency}\ \\ {12-14} & {2} & {0.05} & {5\%}& {15-17} & {8} & {0.200}&{20\%}& {18-20} & {11} & {0.275} & {27.5\%}& {21-23} & {10} & {0.250} &{25\%}& {24-26} & {9} & {0.225}&{22.5\%} & {Total} & {40} & {1} & {100\%}\ \end{array}[/tex]
PLEASE answer this question
Answer:
85°
Step-by-step explanation:
Just subtract 50 from 135.
135 - 50 = 85
What is the quotient of 33.288 and 7.6?
Answer:
219/50 or 4.38
Step-by-step explanation:
divide
Stephanie's graduation picnic costs $7 for every attendee. Write an equation that shows the relationship between the attendees, a,and the cost, c. Complete the table to represent this scenario. Then graph the function. Be sure to label your table and graph.
88=66+7-5x89 this question makes no scence
Answer:
x = -3/89
Step-by-step explanation: