Answer:
100
Step-by-step explanation:
Given :
Terms ( n ) = 100
First term ( a ) = 100
Series = > 100 + 98 + 96 .......
Common difference ( d ) = 98 - 100 = > - 2
We know sum formula:
S_n = ( n / 2 ) ( 2 a + ( n - 1 ) d )
= > S_100 = ( 100 / 2 ) ( 200 + ( 100 - 1 ) - 2 )
= > S_100 = 50 ( 200 - 198 )
= > S_100 = 50 ( 2 )
= > S_100 = 100
Therefore, sum of first 100 terms is 100.
Elena wonders how much water it would take to fill her cup. She drops her pencil in her
cup and notices that it just fits diagonally. (See the diagram.) The pencil is 10 cm long and
the cup is 8 cm tall. How much water can the cup hold in cubic centimeters? Be prepared
to explain or show your reasoning.
72*(pi)=72*3.141 cubic cm
Here are two stories: The initial freshman class at a college is 10% smaller than last year’s class. But then during the first week of classes, 20 more students enroll. There are then 830 students in the freshman class.
A store reduces the price of a computer by $20. Then during a 10% off sale, a customer pays $830
here are two equations: 0.9x+20=830, 0.9(x-20)=830
A. Decide which equation represents each story.
B. Explain why one equation has parentheses and the other doesn't.
C.Solve each equation, and explain what was the solution means in the situation.
Thank you to the people that answered my questions!
Using proportions, it is found that:
a. The equations are related to the stories as follows:
0.9x+20=830 = Class in college.0.9(x-20)=830 = Computer price.b. The parenthesis is because of the 10% reduction was applied over the value subtracted by $20.
c. The solutions are given as follows:
x = 900: Size of the freshmen class in the previous year.x = 942: Original price of the computer.What is a proportion?A proportion is a fraction of a total amount, and are used along with basic arithmetic operations such as multiplication or division to find the desired measures in the context of a problem.
One example of application of proportions is for percentage problems, as the decimal equivalent of the percentage, considering discounts or increases, is multiplied by the total amount to find the equivalent amount.
For the college class, we have that:
It is 10% smaller than last year's amount of x, that is, 90% of x = 0.9x.Then 20 is added to this amount, that is, 0.9x + 20.The equivalent amount is of 830 students, hence the equation is:
0.9x + 20 = 830
The solution is found as follows:
0.9x = 810
x = 810/0.9
x = 900.
Which is the size of the freshmen class in the previous year.
For the computer in the store, we have that:
The price of x was reduced by $20, hence x - 20.Over the price reduced by $20, a reduction of 10% was applied, hence the price paid is of: 0.9(x - 20).This price is of 830, hence the equation is:
0.9(x - 20) = 830
The solution, which is the initial price of the computer, is found as follows:
x - 20 = 830/0.9
x = 20 + 922
x = 942.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
In the diagram below, line t intersects parallel lines r and s.
2
4
3
5
6
8
s
7
If the measure of 23 = 68°, what is the measure of 28?
Answer:
112
Step-by-step explanation:
Supplementary Angle Theorem
find the zeros and the axis of symmetry of the parabola
Answer:
Below
Step-by-step explanation:
The zeros would be 2 and 4
The axis of symmetry is 3
:)
Express this number in scientific rotation 763 thousand
Answer:
7.63*10^5
Step-by-step explanation:
The probability that roger wins a tennis tournament (event a) is 0.45, and the probability that Stephan wins the tournament (event B) is 0.40. The probability of Roger winning the tournament, given that Stephan wins, is 0. The probability of Stephan winning the tournament given that Roger wins, is 0. Given this information, which statement s true?
Answer:
3.Events A and B are not independent because P(A|B) ≠ P(A).
Step-by-step explanation:
Given this information, which statement is true?
1.Events A and B are independent because P(A|B) = P(A).
2.Events A and B are independent because P(A|B) ≠ P(A).
3.Events A and B are not independent because P(A|B) ≠ P(A).
4.Events A and B are not independent because P(A|B) = P(A).
Solution:
Two events A and B are independent if A occurring does not change the probability of B. For independent events:
P(A ∩ B) = P(A) * P(B)
Hence: P(A/B) = P(A ∩ B) / P(B) = P(A) * P(B) / P(B) = P(A)
Let event A represent the probability that roger wins a tennis tournament and event B represent the probability that Stephan wins a tennis tournament.
Therefore:
P(A) = 0.45, P(B) = 0.4
The probability of Roger winning the tournament, given that Stephan wins, is 0. Hence, P(A/B) = 0
P(A/B) = P(A∩B) / P(B)
0 = P(A∩B) / 0.4
P(A∩B) = 0
The probability of Stephan winning the tournament given that Roger wins, is 0. Hence P(B/A) = 0
P(B/A) = P(B∩A) / P(A)
0 = P(B∩A) / 0.4
P(B∩A) = 0
Therefore since P(A∩B) = P(B∩A) =0, this means that event A and event B are mutually exclusive. That is both events cannot occur at the same time.
Events A and B are not independent because P(A|B) ≠ P(A).
The cost of 3 1/4
kg apples is ₹ 130. Find the cost of 1 kg of apples.
Answer:
₹ 40
Step-by-step explanation:
the cost of 1 kg = 1/ (3¼) × 130
= 1/ (13/4) × 130
= 4/13 × 130 = 40
What is sin 62°?
A 8/15
B 8/17
C 15/8
D 15/17
Answer:
[tex]\text{D) }\frac{15}{17}[/tex]
Step-by-step explanation:
In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse of the triangle (o/h).
Therefore, we have:
[tex]\sin 62^{\circ}=\boxed{\text{D) }\frac{15}{17}}[/tex]
When graphing a sine curve model using the equation Y = sin bx, the period (or wavelength) will be represented by
3
27
So be
period
Determine the equation for the sine curve that models the G# wave if the
wavelength of G# = 0.828 meters.
a.
y = sin(6.03x)
b. y = sin(0.828x)
C. y = sin(5.68x)
d. y = sin(7.59x)
Please select the best answer from the choices provided
use pic to answer
Answer:
its D, y= sin(7.59x)
Step-by-step explanation:
just took the quiz on edge
3)
Which equation demonstrates the distributive property?
A)
3 (2 + 8) = 3 (8 + 2)
B)
3 (2 + 8) = 3 x 2 + 3 x 8
C)
(3 x 2) x 8 = 3 * (2 x 8)
D)
3* (2 x 8) = 3 * (8 x 2)
Answer:
D)
3* (2 x 8) = 3 * (8 x 2)
Step-by-step explanation:
multiplication distributes over addition.
At a children's concert there were 80 boys. There were 1 1/2 times the number of girls as boys. What percentage of the total number of children at the concert were girl?
Answer:
60% are girls
Step-by-step explanation:
80 x 1.5 = 120 which is the amount of girls
120 out of 200 is 12/20 or 3.5 which is 60%
Elena has written 3 sports books for kids. One book is about soccer, one is about baseball, and one is about basketball. Elena has sold a total of 3,017 of the books in local bookstores. She sold 3 times as many copies of the soccer book as the baseball book. She sold the same number of copies of the basketball book as the soccer book. How many copies of the soccer book has she sold?
Answer:
1293 soccer books
Step-by-step explanation:
The tricky part about questions like this is: how do I assign variables to the three types of book?
You get a clue from the sentence, "She sold 3 times as many copies of the soccer book as the baseball book." The number of soccer books is being described by referring TO the number of baseball books. Pick a variable and assign it to the item being REFERRED TO!
x = number of baseball books
Then 3x = number of soccer books. The number of basketball books is the same, so 3x = number of basketball books. Here's the list...
x = number of baseball books
3x = number of soccer books
3x = number of basketball books
The total of these is 3017, so
x + 3x + 3x = 3017
7x = 3017
x = 431
Ah! But don't forget to look back at the question: it asks for the number of SOCCER books! That's 3x, so 3(431) = 1293.
Enter the equation for the graph.
Answer:
The answer on Acellus is y=1 cos(3)
Step-by-step explanation:
I NEED HELPPPPP PLEASE
Answer:
66 ft^2
Step-by-step explanation:
2 x 3 = 6
5 x 12 = 60
6 + 60 = 66
Answer:
A=A1 + A2
A= (l×w) + (l×w)
A= ((12-3)×5) + (3×(5+2))
A=66 ft^2
PLZ HELP I BEG U!! 100 POINTS
For lower cuboid
l=16m
b=9n
h=6m
For upper cuboid
l=9m
b=2m
h=6m
Note: volume of cuboid =l×b×h
total volume =lower cuboid +upper cuboid
=16*9*6+2*6*9=972m³
Answer:
972 m³Step-by-step explanation:
The volume is the sum of volumes of two rectangular prisms:
V = lwhV = 16*9*6 + 2*6*9 = 972 m³how do i make my grades go up quickly- yes in all subjects plz help me
Answer:
Step-by-step explanation:
A way to make your grades go higher is by asking your teacher for extra credits. If you fail some quizzes ask your teacher to re-take it to get a better grade, another way is ask your teacher for assistance on assignments.
Help! Foundation maths gcse
Answer:
1) is greater than
2) is equal to
3) is equal to
4) is less than
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
Solve for x. Round to the nearest hundredth.
B
570
A
10.8
C
Answer:
58.014
Step-by-step explanation:
hope it really helps your friend
Mary was writing a test. On the test there was a question which was "What is the square root of 30?" How can you estimate the square root of 30?
After she was done the test. she got it back from the teacher and the mark she got was 26/30. Find the percentage of her mark.
Answer:
86.6%
Step-by-step explanation:
1. Divide the amount of points Mary got from the test by maximum amount of points
26/30≈0.866
2.Multiply that by hundred
0.866*100=86.6
Answer: 86.6%
sammy is eleven less than five times Jaime's age. if the sum of their ages is 55, how old is each girl? please help me if i dont get this done soon moms gonna be super mad
Answer:
Jaime = 11
Sammy = 44
Step-by-step explanation:
It is given that Sammy is eleven less than five times Jaime's age. Use parameter (S) to represent Sammy's age, and parameter (J) to represent Jaime's age. Form an equation based on this given information:
S = 5J - 11
It is given that the sum of the two girl's ages is (55), use an equation to represent this.
S + J = 55
Substitute in the expression for the value of (S) in terms of (J),
(5J - 11) + J = 55
Simplify,
6J - 11 = 55
Inverse operations,
6J - 11 = 55
6J = 66
J = 11
Backsolve for the value of (S), substitute in the value of (J) into the equation for (S) and solve,
S = 5(J) - 11
S = 5(11) -11
S = 55 - 11
S = 44
a. Complete the table of values for the relation y = - 6. Please answer each question in the box provided.
x y = - 6
-6
-3
0
3
6
9
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.
:
What is an ecosystem?
1. A self-contained living thing
2. A group of interacting 3.individuals from the same species located in the same area
4. All of the biotic and abiotic things within a given area and all of their inteactions
5. A food web
Answer:
4
Step-by-step explanation:
someone plz save me plz plz
Solve -7g - 2 = - 30. Show your steps.
Please show your work in the box provided
Answer:
g=4
Step-by-step explanation:
Move all terms not containing g to the right side of the equation.
-7g-2=-30
-7g=-28
g=-28/-7
g=4
hi ^^
---------
Here's your answer: g=4
-----------------------------------
Now the steps: Equation: −7g−2=−30
· Add 2 to both sides.
−7g=−30+2
· Add −30 and 2 to get −28.
−7g=−28
· Divide both sides by −7.
g= −7 /−28
· Divide −28 by −7 to get 4.
g=4
------------------------------------------------------
Hope that helped! bye <3
A student fit the line shown below to the data in the scatter plot. Which statement about the student's line is true?
A. It is a good fit because there are the same number of points above the line as below it.
B. It is a good fit because all of the points are on or below the line.
C. It is not a good fit because there are no points on the line.
D. It is not a good fit because only one point is on the line.
Answer:
C. It is not a good fit because there are no points on the line.
Step-by-step explanation:
In order for a line to be a good fit for a data set represented as a scatterplot, the line must follow the general trend of the data in the scatterplot. This line does not follow the general trend of the data on the scatterplot, thus option (C) is the best statement to describe the situation.
C. It is not a good fit because there are no points on the line.
Tell whether the statement is always, sometimes, or never true. Explain.
1. If x and y are supplementary angles, then y is acute.
2. If x and y are complementary angles, then x is obtuse.
Answer:
1. If x and y are supplementary angles, then y is sometimes acute because supplementary angles are angles that add up to 180 degrees. So, y can be acute while x can be obtuse, y can be obtuse while x can be acute, or both can be right angles.
2. If x and y are complementary angles, then x is never obtuse. Complementary angles are angles that add up to 90 degrees, and obtuse angles are angles over 90 degrees, so it's impossible to have an obtuse angle as a complementary angle.
Step-by-step explanation:
Answer:
1) Sometimes
2) Never
Step-by-step explanation:
1) you could have two angles add up to 180 degrees and one of them could be less than 90
example, x = 140° and y = 40°
2) if two angles are complementary then their sum is 90° so neither angle must be less than 90°, thereby making them both acute angles
In the morning, the temperature was –3°. At noon, the temperature was 4° warmer than in the morning. What was the temperature at noon?
A
–7°
B
1°
C
–1°
D
7°
Answer:
The answer is A / because the morning temperature is -3 and the temperature in noon is 4 so The total temperature is -7
Step-by-step explanation:
its correct I HOPE I HELP YOU
HELP KE PLEASE HELP I NEED HELP
Answer:
A
Step-by-step explanation:
2 negatives make a positive
I will mark you brainiest if you can answer this
What is the answer A B C D
Answer:
the answer is C
Step-by-step explanation:
The top ten scores on a quiz in two classes are listed below.
Class A: 100, 100, 100, 90, 95, 85, 92, 98, 92, 88
Class B: 100, 100, 98, 95, 95, 96, 95, 92, 81, 88
Which statement is true concerning the data?
A. The mode is the same for both classes.
B. The range is the same for both classes,
0 C. The mean is the same for both classes,
D. The median is the same for both classes.
Answer:
B. The range is the same for both classes
Answer:
C. The mean is the same for both classes,
Step-by-step explanation:
C. is true because the mean of marks of both classes is 94