Answer:
Rational expression
Step-by-step explanation:
A rational expression is a quotient of two polynomials, where the polynomial in the denominator is not zero. Rational expressions can often be simplified by removing terms that can be factored out of the numerator and denominator. These can be either numbers or functions of x
A rational function is a function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero.
Given that,
An incomplete statement is given we have to determine what best suit the blank space given in the statement.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
A function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero is called a rational function.
Thus, the blanked statement is the definition of the rational function
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Which rule will find the nth term of the arithmetic sequence
-58,-65, -72. -86,...?
Answer:
-85n - 7 = -92
Step-by-step explanation:
A teacher purchased 1 foot long sub to share amongst a group of 4 students. But decided to eat half of it. After dividing the rest of the sub into equal parts how much of a sub will each student recive?
Answer:
1/8th
Step-by-step explanation:
Answer:
1/8 of the sub or 1.5 inches
Step-by-step explanation:
One foot=12 inches, but the teacher eats half, so we are left with only six inches. then, divide the six inches with the number of students, which is 4. if you divide 12 and 1.5, you'll see that there are a total of 8 pieces, so one student gets 1 out of the 8
find f(3) for f(x)=3^x+3
Answer:
f(3) = 30
Step-by-step explanation:
f(3) = 3^(3) + 3
f(3) = 27 + 3
f(3) = 30
- B is the midpoint of line segment AC. If AB = 3x - 8 and BC = x + 12, find the value of x.
Answer:
x = 10
Step-by-step explanation:
Since B is the midpoint of segment AC, then AB = BC.
AB = BC
3x - 8 = x + 12
2x - 8 = 12
2x = 20
x = 10
As per the given information, the value of x is 10. For understanding, check the calculations provided below.
MidpointA midpoint is a point that divides a line into two parts equally.
In the given diagram,
B is the midpoint of line segment AC. Midpoint B divides the line segment AC equally.
When a midpoint B divides equally then AB = BC
Given that,
AB = 3x-8 and BC = x+12
B is the midpoint of line segment AC.
So,
AB = BC
Substitute the expression and solve for x
AB = BC
3x-8=x+12
Subtract x,
⇒ 3x-x-8 = x-x+12
⇒ 2x-8=12
Add 8
⇒ 2x = 12+8
⇒ 2x = 20
divide by 2
∵ x = 10
Thus, the value of x is 10.
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1 | 4
2| 8
3| 12
4| 16
Write a function rule for the table.
A. S=40
B. c=4s
C. s=c+ 4
D. C= 4+ S
b. c=4s
you multiply x times 4 to get y
A train moves at a constant speed of 60 miles per hour for 2 hours. It stops for 30 minutes to allow for the herd of cows to cross. It resumes moving at 30 miles per hour for the remaining one hour until it reaches its destination. Write using only numbers separated by commas the amount of distance traveled by 0 hours, 2 hours, 2.5 hours, and 3.5 hours in that order. Example answer format: 1, 3, 5, 7, 9 1,3,5,7,9 Be consistent with your spacing. Either put a space after each comma or put no spacing at all.
Answer:
0 , 120 , 120 , 150
Step-by-step explanation:
Lets consider in step by step
For Time = 0 hours
At t= 0, the train has not moved from its initial spot. The amount of distance travelled by train is 0
For Time = 2 hours
The train is travelling at a constant speed of 60 miles per hour. As the train travels for 2 consecutive hours at the same speed without stopping, it means that it covers a distance of 60 miles in 1st hour and another 60 miles in 2nd hour. Total distance covered is 120 miles.
For Time = 2.5 hours
The train stops after 2 hours and remain at the same place for 30 mins. So, after 2.5 hours the distance remains the same i.e 120 miles , as the train was stopped.
For Time = 3.5 hours
After 2.5 hours, train travels at a speed of 30 miles per hour. Which means that it covers another 30 miles to reach the destination.
Total Distance covered = 120+30 = 150 miles
The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
S,wow,w,
A normal distribution has a mean of μ=54 and a standard deviation of σ=6. What is the probability of randomly selecting a score less than X=51? What is the probability of selecting a Random sample of n=4scores with a mean less than m=51? What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Answer:
A)The probability of randomly selecting a score less than X=51 is 0.3085
B)The probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C)The probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
Step-by-step explanation:
Mean =[tex]\mu = 54[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
A)What is the probability of randomly selecting a score less than X=51 i.e. P(x<51)?
Formula : [tex]Z =\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{51-54}{6}[/tex]
Z=-0.5
Refer the Z table for p value
So, P(x<51)=0.3085
So,the probability of randomly selecting a score less than X=51 is 0.3085
B)What is the probability of selecting a Random sample of n=4scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{4}}}[/tex]
Z=-1
Refer the Z table for p value
So, P(x<51)=0.1587
So, the probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C) What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{36}}}[/tex]
Z=-3
Refer the Z table for p value
So, P(x<51)=0.0013
So,the probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
help plz!
Find the width of a cereal box that has a volume of 6,860 cm3 and is 35 cm long and 28 cm high.
Answer:
The width is 7 cm
Step-by-step explanation:
The volume of a cereal box is
V = l*w*h
6860 = 35 * w * 28
6860 =980 w
Divide each side by 980
6860/980 = w
7 = w
Answer:
35*28=6,860
980 = 6,860
divide by 980 to both side
_980__ = _6,860_
980 980
x = 7
Step-by-step explanation:
Identify a pattern in this list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 3, 5, 9, 15, 23, 33, _____
Answer:
a) 45
The sequence 3 , 5, 9 , 15 , 23 , 33 , 45
Step-by-step explanation:
Given The sequence 3 , 5, 9 , 15 , 23 , 33
First term = 3
Add 2 of first term
Second term = 3 +2 = 5
Add 4 of second term
Third term = 5 + 4 = 9
Add 6 of Third term
Fourth term = 9 + 6 = 15
Add 8 of fourth term
fifth term = 15 + 8 = 23
Add 10 of fifth term
sixth term = 23 + 10 = 33
Add 12 of sixth term
seventh term = 33 +12 = 45
Final answer:-
Now the sequence 3, 5, 9, 15, 23, 33, __45___
Help pure people pls
Answer:
Option (B). Perimeter of the quadrilateral ABCD= 14.6 units
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices are A(3, 5), B(1, 3), C(3, -1), D(5, 3).
Length of AB = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
= [tex]\sqrt{(3-1)^2+(5-3)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83 units
Length of AD = [tex]\sqrt{(3-5)^2+(5-3)^2}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.83 units
Length of BC = [tex]\sqrt{(1-3)^2+(3+1)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
Length of DC = [tex]\sqrt{(5-3)^2+(3+1)^2}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
Perimeter of the quadrilateral = AB + AD + DC + BC
= 2.83 + 2.83 + 4.47 + 4.47
= 14.6 units
Option (B) is the answer.
The polygon below is a regular octagon
Calculate the sides of the angles x and y.
Answer:
x = 135 y = 45
Step-by-step explanation:
The sum of the measure of interior angles can be found by equation
(n - 2) x 180 n is the number of sides
(8 - 2)180 = 1080
Sum of measure of interior angles is 1080 degrees. Variable x, which we are solving for, it the measure of one interior angle. To find x, divide 1080 by 8 to find the measure of one interior angle.
1080 / 8 = 135
x = 135 degrees
We know that a trapezoid like the one formed in the octagon has 2 pairs of congruent angles. we know two of the angles already, as they are the measure of one interior angle, or 135 degrees. The sum of the measure of interior angles of a trapezoid is 360 degrees.
360 - 2(135) = 90
The sum of the remaining two angles of the trapezoid are 90 degrees. These two angles are equal, so divide 90 by 2.
90 / 2 = 45
y = 45 degrees.
135 45 Answer:
Step-by-step explanation:
Please help! Read the question down below!
The histogram shows the scores of each participant in a game for a total of 100 participants. What is the ratio of participants who score 80 to 99 to the total number of participants? 17 participants scored 80-99
Which temperature is closest to room temperature?
a) 35°F b) 65°F c) 120°F d) 200°F
Answer:
b) 65f
Step-by-step explanation:
Answer:
b. 65° F
Step-by-step explanation:
option B is correct answer
Please hurry
What is the solution?
Answer:
no solution
Step-by-step explanation:
I tried to solve this by doing the square root of [tex]x^{2} +49[/tex], which is x+7. x+7≠x+5
let g(x)=3x+2. Find g(x) if x=5. The value of g(x) is ____ if X=5
Answer:
g(5)=17
Step-by-step explanation:
g(x)=3x+2
Let x = 5
g(5) = 3*5+2
= 15+2
= 17
Answer:
17
Step-by-step explanation:
Just substitute 5 into the position of X
A small business employs 98 people. All of the employees work for 8 hours a day, 5 days a week. Eleven of the employees receive a wage of $45 an hour and the rest $30 an hour. In total, how much does the business pay its employees each week?
The business requires $124,200 to pay its employees each week.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
A small company employs 98 workers. Every employee works 8 hours a day, 5 days a week. Eleven employees are paid $45 per hour, while the remaining employees are paid $30 per hour.
As per the given question, the required solution would be as:
No. of employees at $30hr: 98 -11 = 87
⇒ 8 hours × 5 days = 40 hour a week
⇒ 40 hour × $30 × 87 =104,400
⇒ 40 hour × $45 × 11 = 19,800
⇒ 104,400 + 19,800 = 124,200
Thus, the business requires $124,200 to pay its employees each week.
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A town map has a scale of 2cm:0.5km what is the actual distance for a walk measured at 9cm on the map?
Answer: 2.25 km
Step-by-step explanation:
2 cm = 0.5 km
9 cm = (9 x 0.5)/2
= 2.25 km
Answer:
2.25 km
Step-by-step explanation:
Since 2 cm represents 0.5 km on the ground we cross multiply to find how much ground will be represented by 9 cm on the map
2cm=0.5km9cm=?
(9cm×0.5km)÷2cm4.5km(cm)÷2cm2.25 kmNOTE: since the cm are the same they will cancel each other out in the division stage
Given the information in the diagram, which theorem best
justifies why lines e and f must be parallel?
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
converse of the same side interior angles theorem
Answer:
its D
Step-by-step explanation:
Just did the test. Goodluck
Answer:
d
Step-by-step explanation:
Help meee with this...............
Answer:
6
Step-by-step explanation:
3x2
marking city is 5 inches away from jamming city on the map what is the actual distance between those two cities
Answer: 50 miles
Step-by-step explanation:
On maps one inch is a mile
Can I get some help with this question?
Answer:
$250
Step-by-step explanation:
200/80=2.50
2.50*100=250
Answer:
$250.
Step-by-step explanation:
By proportion the cost should be 200 * 100/80
= 200*5/4
= 50 * 5
= $250.
The enrollment at the 21st Century High School increased from 700
students to 1,200 students over a period of 5 years. What is the
percent increase in enrollment? Round off to the nearest percent.
Answer:
71% = P
Step-by-step explanation:
500/700 = P/100
500(100) =700p
50,000/700 = 700p/700
P=71%
The percent increase in enrollment is, 71.43%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The enrollment at the 21st Century High School increased from 700 students to 1,200 students over a period of 5 years.
Now,
Increased students = 1200 - 700
= 500
Hence, The increased percent is,
⇒ 500 / 700 × 100
⇒ 71.43%
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1. Using the figure below, what is the measure of angle ABE?
Answer:
The angle of ∠ABE is 40°.
Step-by-step explanation:
Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.
Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.
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Please help with the question below
Answer:
Not a solution.
Step-by-step explanation:
2=-3/4(3)+3
2=-9/4+3
2 does not equal 3/4.
Therefore, it is not a solution.
Answer:
False
Step-by-step explanation:
Just plug it in.
[tex]2 = -\frac{3}{4}*3 + 3[/tex]
2 = -2.25 + 3
2 ≠ 0.75
It is not equal so it's false.
Determine the constant of variation for the direct variation given.
(0,0) ,(3,12),(9,36)
Answer:
[tex]r = 4[/tex]
Step-by-step explanation:
Given: Direct Variation
(0,0) ,(3,12),(9,36)
Required
Constant of Variation
Provided that the given data is a direct variation, the constant variation is represented by r.
r is calculated as thus;
[tex]y = rx[/tex]
Divide both sides by x
[tex]r = \frac{y}{x}[/tex]
Point (0,0) is the center of origin and cannot be used
When x = 3, y = 12
and
[tex]r = \frac{12}{3}[/tex]
[tex]r = 4[/tex]
When x = 3, y = 12
and
[tex]r = \frac{36}{9}[/tex]
[tex]r = 4[/tex]
Notice that the value of r remain constant in both cases; Hence, the constant of variation is; [tex]r = 4[/tex]
randomly selecting two grape juice boxes without replacement
Step-by-step explanation:
1/2 on the first round, then 1 on the second. When you have 2 juice boxes on the first round, there is a 50/50 (reduce to 1/2) chance that you will get one or the other. But after one is chosen, there is one left, because there is no replacement, and it is guarantied that the one will be picked. 100/100 or 1.
Answer:
I am answering to this question: There are 15 cherry, 17 grape, and 14 orange juice boxes in the cooler. Find the probability of randomly selecting two grape juice boxes without replacement.
Step-by-step explanation:
136/1035
plz mark brainliest if this is the question.
please, someone, answer this asap; mean median mode and range:
1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *
22
12
26
2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *
19
19.5
20
3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *
24
38
26
4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *
12
24
38
5) the mode represents the number that appears the least *
True
False
6) To calculate the range we use the highest and lowest number ? *
True
False
7) Average is another word for *
mode
range
mean
median
8) the range indicates the middle number ? *
True
False
9) which statement best describes the mean. *
add all the numbers and divide by the total number of numbers
highest minus lowest
number that appears the most
10) A data set with two modes is known as *
no modes
bimodal
multimodal
Answer:
1) 22
2) 19.5
3) 26
4) 12
5) False
6) True
7) Mean
8) False
9) Add all the numbers and divide by the total number of numbers
10) Bimodal
Step-by-step explanation:
1)Use the data to calculate the mean. 24, 31, 12, 38, 12, 15 *
To calculate mean you add all the numbers up and divide by the total number of numbers.
[tex]\frac{24 + 31+12+38+12+15}{6} = 22[/tex]
2) Use the data to calculate the median. 24, 31, 12, 38, 12, 15 *
For median, arrange the numbers from lowest to largest
12, 12, 15, 24, 31, 38
use (n+1) / 2 to figure out which value is the median
(6+1) / 2 = 3.5 (median is in between the 3rd and 4th value)
(15+24) / 2 = 19.5
3) Use the data to calculate the range. 24, 31, 12, 38, 12, 15 *
Range is max value - min value
38 is max and 12 is min
38 - 12 = 26
4) Use the data to calculate the mode. 24, 31, 12, 38, 12, 15 *
Mode is the value that appears most frequently
In this case 12 appears 2 times, therefore it is the mode
5) the mode represents the number that appears the least *
False, mode is the number that appears the most
6) To calculate the range we use the highest and lowest number ? *
True
7) Average is another word for *
mean
8) the range indicates the middle number ? *
False, range is the max value - min value
9) which statement best describes the mean. *
add all the numbers and divide by the total number of numbers
10) A data set with two modes is known as *
bimodal
___________________________________
hey!!
Given data=24,31,12,38,12,15summation fX=132
N(total no.of items)=6
Now,
Mean=summation FX/N
=132/6
=22
2. Arranging the data in ascending order
= 12,12,15,24,31,38
N=6
Median=(N+1/2)th item
= (6+1/2) th item
=(7/2)th item
=3.5 th item
Again,
median=3 rd item + 4th item/2
=15+24/2
= 39/2
=19.5
3.Range= highest score- lowest score
=38- 12
=26
4. Mode= 12 because it has more frequency.
______________________________________
Answers:2219.5 26 12FalseTrueMeanFalseadd the numbers and divide by the total number of numbers bimodalHope it helps...Good luck on your assignment
________________________________
Please help!
A bus traveled 120 miles on a highway in 2 1/2 hours. If the bus traveled at a constant speed, what was the speed of the bus in miles per hour?
Answer:
48 miles per hour
Step-by-step explanation:
Take the miles and divide by the time to get miles per hour
120 miles / 2.5 hours
48 miles per hour
Answer:
the bus is going 48 mile per hour
Step-by-step explanation:
