a venn diagram shows information about 100 students in total, it shows students who take Life Sciences, Mathematics and Accounting. 12 take all the subjects, 21 takes both Accounting and Life Sciences,8 takes Life Sciences only. 16 takes Accounting and Mathematics, 20 takes Mathematics only, 10 takes Accounting only and 11 takes Life Sciences and Mathematics.
How many students are there who take Accounting and Mathematics but not Life Sciences
Answer:
only mathematics = 20
only accounting = 10
mathematics and accounting = 16
All = 46
Step-by-step explanation:
please make my answer as brainelist
Expand each binomial. (p+q)⁶
The binomial expansion of the given expression is:
p⁶ + q⁶ + 8p⁵q + 17p⁴q² + 20p³q³ + 11p²q⁴ + 4pq⁵
What is a polynomial?A polynomial is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms.
Depending on the number of terms it can be :
monomialbinomialtrinomialWe solve first by perfect square trinomial, then we apply the distributive property.
(p + q)⁶ = (p + q)²(p + q)²(p + q)²
(p + q)²= p² + 2pq + q²
(p² + 2pq + q²)(p² + 2pq + q²)p⁴ + 2p³q + p²q² + 2p³q + 4p²q² + 2pq³ + q²p² + 2pq³ + q⁴
p⁴ + 4p³q + 6p²q² + 2p³q + 2pq³ + q⁴
(p⁴ + 4p³q + 6p²q² + 2p³q + 2pq³ + q⁴)(p² + 2pq + q²)
p⁶ + 4p⁵q + 6p⁴q² + 2p⁵q + 2p³q³ + p²q⁴
+( 2p⁵q + 8p⁴q² + 12p³q³ + 4p⁴q² + 4p²q⁴ + 2q⁵p)
+(p⁴q² + 4p³q³ + 6p²q⁴ + 2p³q³ + 2pq⁵ + q⁶)
p⁶ + q⁶ + 8p⁵q + 17p⁴q² + 20p³q³ + 11p²q⁴ + 4pq⁵
Learn more about polynomial in:
https://brainly.com/question/10241002
#SPJ4
What is the answer to -7/8-(-3/16)
Answer:
-11/16
Step-by-step explanation:
based on calculator
b. What are the second and third terms of this arithmetic sequence? 80, 페, 페, 125,...........
The 2nd and 3rd term of an AP is found to be (a₂ = 95) and (a₃ = 110).
What is the sequence of AP arithmetic progression?In Arithmetic Progression, the difference between the two numerical orders is a fixed number (AP). Arithmetic Sequence is another name for it.
We'd come across a few key concepts in AP that had been labeled as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)As shown below, the AP can also be referred to in terms of common differences.
The following is the procedure for evaluating an AP's n-th term: an = a + (n − 1) × dThe arithmetic progression sum is as follows: Sn = n/2[2a + (n − 1) × d].Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.Now, the given sequence is; 80, _, _, 125.
The series comprises of four given terms.
Let the first term be 'a₁' = 180.
The second term be 'a₂'.
The third term be 'a₃'.
And, the fourth term is 'a₄' = 125.
Use the nth term formula to find the common difference 'd'.
n-th term: an = a + (n − 1) × d
a₄ = a + (n - 1)d
125 = 80 + (4 - 1)d
45 = 3d
d = 15
Thus, the common difference is 15.
The second term is calculated as;
a₂ = a₁ + d
a₂ = 80 + 15
a₂ = 95.
The third term is estimated as;
a₃ = a₂ + d
a₃ = 95 = 15
a₃ = 110
Therefore, the 2nd and third term of an AP is computed as 95 and 110.
To know more about Arithmetic Sequence, here
https://brainly.com/question/24989563
#SPJ4
In triangle ABC the m
Answer: Side C, Side B, Side A
Step-by-step explanation:
m<A=36 degrees
m<C=80 degrees
A+B+C=180 degrees
36+B+80=180
116+B=180
116-116+B=180-116
B=64 ==> m<B=64 degrees
Greatest to least: Side C, Side B, Side A
You are solving a measurement problem where the numbers 2.058 × 10^9 and 3.0571 × 10^−4 are divided. How many significant digits should the quotient have?
4 significant digit the quotient have.
Significant digit are the important digit in a number which convey the accuracy. all non zero numbers are significant and zero between two non zero is a significant digit and all zeros at the right of decimal is significant digit in number.
Given numbers are 2.058 * 10^9 and 3.0571 * 10^-4
To calculate the division first we have to solve the exponent.
In divide we subtract the powers
10^(9-(-4)) = 10^13
Now do the division
(2.058 ÷ 3.0571)*10^13 = 0.67318*10^13 = 0.6732 *10^13
=6.732 * 10^12
Number of significant digit are 4.
To learn more about significant digit here,
brainly.com/question/28589977
#SPJ1
Can someone please help me out? I don’t really understand the problem.
Answer: x=-8 y=7
Step-by-step explanation:
[tex]\displaystyle\\\left \{ {{-2x-5y=-19\ \ \ \ (1)} \atop {3x+2y=-10\ \ \ \ \ (2)}} \right.[/tex]
Multiply both parts of the equation (1) by 3 and multiply both parts of the equation (2) by 2:
[tex]\displaystyle\\\left \{ {(-2x)(3)-(5y)(3)=(-19)(3)} \atop {(3x)(2)+(2y)(2)=(-10)(2)}} \right. \\\\\left \{ {{-6x-15y=-57\ \ \ \ (3)} \atop {6x+4y=-20\ \ \ \ (4)}} \right. \\[/tex]
Summarize equations(3) and (4):
[tex]-11y=-77[/tex]
Divide both parts of the equation by -11:
y=7
Hence,
[tex]3x+2*7=-10\\3x+14=-10\\3x+14-14=-10-14\\3x=-24[/tex]
Divide both parts of the equation by 3:
[tex]x=-8[/tex]
9,5 centimeters is the same as 9,50 centimeters???? YES NO and why please
Answer:
Yes
Step-by-step explanation:
9.50=9.5+0.00 ==> The only difference between 9.50 and 9.5 is that it has an extra zero in the right hand side of .5. Hence, you add 0.00 to 9.5 to get 9.50. 0.00=0. Whenever you add 0 to a number, that number won't change. Hence, 9.5=9.50.
Please help with #13
Using the formula for the distance between two points, the relationship between RA and R'A is given by:
RA = R'A.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
This formula is derived from the Pythagorean Theorem, as the points form a right triangle in the xy-plane, with the hypotenuse being the distance between them.
The coordinates of the points of interest to find the segments' lenghts are given as follows:
R(-5,-5).A(1.5, 1.5).R'(8,8).Applying the formula, the length of RA is given by:
[tex]RA = \sqrt{(1.5 - (-5))^2+(1.5 - (-5))^2} = 9.19[/tex]
Applying the formula, the length of R'A is given by:
[tex]R^{\prime}A = \sqrt{(1.5 - 8)^2+(1.5 - 8)^2} = 9.19[/tex]
Hence the relationship for the length of the segments is:
RA = R'A.
More can be learned about the distance between two points at https://brainly.com/question/18345417
#SPJ1
Solve for x then find the measures of the following angles
Answer:
x= 10 , DEG = 60 , GEF = 40
Step-by-step explanation:
Firstly the angle DEH is 90 degrees because of the red square indicating it.
That means the angle DEF is also 90 degrees.
To find the x you would do:
6x + 4x = 90
now add the 6x and 4x together:
10x = 90
now divide 10 from both sides to isolate the x:
x = 10
now you have your x which is 10.
For angle DEG you plug in the 10 for the x:
DEG = 6(10)
after that you multiply the 6 and 10:
DEG = 60
For angle GEF you plug in the 10 for the x:
GEF = 4(10)
after that you multiply 4 and 10:
GEF = 40
A meeting room is set up with 16 rows of seats. The number of seats in a row increases by two with each successive row. The first row has 12 seats. What is the total number of seats?
b. What is the number of seats in the 16 th row?
The most commonly used explicit of an arithmetic sequence is given as,
an = a + (n - 1) d
Each term in the sequence can easily be solved/computed without knowing the other terms in the sequence. Now by using the given information, we can say that,
2nd row seat = 12+ 1x2
3rd row seat = 12 + 2 x2
nth seat = 12 + (n-1) x 2
16th row seat = 12 + (16–1) x2 = 42
Since the number of seats is increasing at a constant rate, we can calculate the average number of seats in each row by taking the average of the first and last rows,
Average number of seats per row = (12 +42)/2= 27.
So total seats = average per row x number of rows.
= 27 x 16 = 432.
More similar problems are solved in the link below.
brainly.com/question/19261993?referrer=searchResults
#SPJ4
4,005/101 as a repeating decimal
Answer:
39.6534
Step-by-step explanation:
You divide 4005 by 101 and find the numbers that repeat as a decimal. In this case, the repeating decimals are 6534.
Simplify by combining like terms. 2(h+2 g)-(g-h)
The simplification by combining like terms of 2(h + 2g) - (g - h) is 3(h + g).
According to the given question.
We have an expression 2(h + 2g) - (g - h).
As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same. when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.
Since, we have to combine the like terms of the given expression
2(h + 2g) - (g - h).
Here 2h, and h and 2g and -g are the like terms.
So, we add and subtract coeffcients of h and g to simplify the given expression.
Therefore, the simplification of 2(h + 2g) - (g - h) is given by
= 2(h + 2g) - (g - h)
= 2h + 4g - g + h
= 3h + 3g
= 3(h + g)
Hence, the simplification by combining like terms of 2(h + 2g) - (g - h) is
3( h + g).
Find out more information about like terms here:
brainly.com/question/2513478
#SPJ4
WORD PROBLEMS INVOLVING RATE OF CHANGE
explantation is at the top :)
Why is a normal distribution "normal"?
Step-by-step explanation:
Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
3r^5 - 7r name each polynomial by degree and number of terms. if the polynomial is not win standard form rewrite it in standard form
The polynomial is quintic binomial.
The given polynomial is [tex]3r^5-7r[/tex]. The polynomial is given in standard form. i.e., terms are arranged in the decreasing order of its powers.
The degree of the polynomial is the highest power of 'r' in the polynomial.
So degree of the polynomial [tex]3r^5-7r[/tex] is 5.
Polynomials of degree 5 are called quintic.
The polynomial has 2 terms: [tex]3r^5, 7r[/tex]
Since the number of terms are two, we can call it binomial.
So the polynomial [tex]3r^5-7r[/tex] is quintic binomial.
Learn more about degree and number of terms of polynomials at https://brainly.com/question/24266746
#SPJ4
The spinner is divided into 8 equal sections.
b. If the arrow lands on a number, what is the probability that it will land on an odd number?
The probability for the arrow that land in the odd number is 1/2.
Probability:
Basically, the word probability define the possible way of occurring the event.
Given,
The spinner is divided into 8 equal sections.
Here we need to find if the arrow lands on a number, what is the probability that it will land on an odd number.
Let us consider that the spinner has 8 equal-sized sections numbered 1 to 8.
Since the sections have equal size, each section is equally probable.
The probability of falling on each section is therefore 1/8.
We know that, in the 8 sections,
There are four odd numbered sections.
Hence, probability is
=> 4/8
When we simplify it,
=> 1/2
Therefore, the probability for the arrow that land in the odd number is 1/2.
To know more about Probability here.
https://brainly.com/question/16914473
#SPJ4
Question 7(Multiple Choice Worth 1 points)
(02.05 MC)
Determine the range of f(x) = x + 51.
{y-∞
{y-5
{y|0 ≤y<∞o}
{y|5≤y<∞o}
The range of the function f(x) = x + 51 is {y | -∝ < y < ∝}
What is the range of a function?The range of a function is the set of output values of the function
How to determine the range of the function?The function is given as
f(x) = x + 51
The above function is a linear function
The range of any linear function is the set of all real numbers
This is represented as
-∝ < f (x) < ∝
This can also be represented as
-∝ < y < ∝
So, we have
{y | -∝ < y < ∝}
Hence, the range of the function f(x) = x + 51 is {y | -∝ < y < ∝}
Read more about range at:
https://brainly.com/question/2264373
#SPJ1
Don was thinking about buying a flat screen TV. The store marks it as
55 inches. (TV dimensions are given as diagonals.) If the length of the
TV is 35.51 inches, how tall is the TV?
The height of the television is 13.268 inches.
The television is in the shape of a rectangle and when we draw an imaginary diagonal line it would become a right-angle triangle in which the diagonal line would become the hypotenuse and the length would become base.
We need to find out the tallness of the television which is the perpendicular of our imaginary right-angle triangle
By applying the Pythagoras theorem [tex]H^{2}[/tex]= [tex]P^{2} + B^{2}[/tex]
As we need perpendicular the formula would become P = [tex]\sqrt{H^{2} -B^{2} }[/tex]
After putting the values in the above equation,
we get = [tex]\sqrt{(55) – (35.51)}[/tex]
=[tex]\sqrt{3025-1260.96}[/tex]
=[tex]\sqrt{1764.04}[/tex]
=13.268 inches
To know more about Pythagoras theorem - https://brainly.com/question/23755710?referrer=searchResults
#SPJ9
Please help
An investment portfolio is shown below.
Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%
Using technology, the difference between the arithmetic average ROR and the weighted average ROR is 0.5%
What is arithmetic average ROR?
The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments
arithmetic average ROR=(2.1%+4.4%+7.8%+10.5%)/4
arithmetic average ROR=6.20%
total amount invested=$3200+$1750+$1235+$2,300
total amount invested=$8,485
weighted average ROR=($3200/$8485*2.1%+$1750/$8485*4.4%+$1235/$8485*7.8%+$2300/$8485*10.5%)
weighted average ROR=5.68%
difference=6.20%-5.68%
difference=0.5%
Find out more about ROR on:brainly.com/question/28683603
#SPJ1
Chantel has 45 green balloons and 54 purple balloons to make into bunches for a school celebration.she wants each bunch to have the same number of each ballon.what is thr greatest numberof bunches chantel can make if she wants tobuse all of her balloons?how many purple balloons will she put in each bunch
Answer: greatest number of bunches using all balloon is 48, using purple ballon is 27
Step-by-step explanation:
quality real bad cause of the computer but can someone find the answer?
The coordinates of the vertices after a 270° counterclockwise rotation around the origin is done are:
S' - (0, -7)U' - (1, -1)T' - (6, -7)How to rotate 270° counterclockwise around the origin?When you rotate the vertices of a shape 270° counterclockwise rotation around the origin, then the coordinates change from (x, y) to (y,-x) where x and y are flipped and x becomes negative.
The coordinates after the 270° counterclockwise rotation around the origin are:
S = (7, 0)
S' = (0, -7)
U = (1, 1)
U' = (1, -1)
T = (7, 6)
T' = (6, -7)
Find out more on 270° counterclockwise rotations at https://brainly.com/question/28082021
#SPJ1
The length and width of a rectangle are consecutive odd integers the perimeter of the rectangle is 96 cm find the length and the width of the rectangle
The lengthof the rectangle is 23 cm and width of the rectangle is 25cm.
Consecutive odd integers are odd integers that follow each other and they differ by 2.
Given that Length and width are consecutive odd integers then
Let length be x so width will be x+2.
The [tex]Perimeter \ of \ Rectangle = 2 (Length \ + \ Width)[/tex]
Perimeter of Rectangle= 96cm
[tex]96 = 2 (Length \ + \ Width)\\(Length \ + \ Width) = 48\\x + x + 2 = 48\\2x = 46\\x = 23[/tex]
So, length = x = 23cm
therefore, width = x+2 = 25cm
Therefore, Length of the rectangle is 23 cm and the Width of the rectangle is 25 cm.
Learn more about Perimeter of Rectangle here https://brainly.com/question/2142493
#SPJ1
........................................................................
Answer:
1
Step-by-step explanation:
What is the slope of the line that passes through the points (–9, 2) and (0, 4)?
The slope of the line is
.
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Use slope formula.
y2-y1/x2-x1
Plug in the given info.
4-2/0+9
2/9
Hope this helps!
Please mark as brainliest if correct!
Key Features of Linear Functions:Question 2
The graph below shows the number of caramel apples
and the number of popcorn balls that the students in the
math club need to sell at their bake sale to raise $200.
What is the meaning of the y-intercept in this situation?
Select one: linear functions
How do i solve this problem
The slope of the line is the y-intercept, and 40 caramel apples are required to raise $200.
Students in the math club are supposed to sell enough caramel apples and popcorn balls to generate $200, according to the question. This expression's line equation has the following form:
Expression's slope is 4/5(200) = 4(40) = 160.
40 caramel apples are equal to 200 minus 160.
Thus, 40 caramel apples are required, and the slope of a line is represented by the y-intercept.
What is a line's slope?The ratio between the y-axis and x-axis values is known as the slope of a line. Depending on the slope's values, it can
To learn more about the slope of a line from the given link:
https://brainly.com/question/16949303
#SPJ9
70 times 70 equal what
Answer:
4900
Step-by-step explanation:
70x70=4900
can someone help me with this question please? I'm confused
Find the perimeter when 106 triangles are put together in the pattern shown below. Assume that all triangle sides are 1 cm long.
Using an arithmetic sequence, it is found that the perimeter when 106 triangles are put together is of 108 cm.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
The perimeter of a figure is the sum of the outer sides of the figure. Hence, considering that all sides are 1 cm long, we have that:
When there is one triangle, the perimeter is of 3 cm.When there are two triangle, the perimeter is of 4 cm(1 + 1 + 1 + 1 = 4), as shown in the figure given at the end of the answer.When there is three triangles, the perimeter is of 5 cm.When there is four triangles, the perimeter is of 6 cm.Hence the first term and the common difference are given as follows:
[tex]a_1 = 3, d = 1[/tex]
Hence the 106th term of the sequence is:
[tex]a_{106} = 3 + 105 = 108[/tex]
The perimeter when 106 triangles are put together is of 108 cm.
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
#SPJ1
will mark brainliest for correct answer
Answer:
3rd one
Step-by-step explanation:
My mom is a teacher lol
The formula I = √W/R gives the electric current I in amperes that flows through an appliance, where W is the power in watts and R is the resistance in ohms. Which set of numbers best describes the value of I for the given values of W and R ? W=100, R=25
The equation be I = √W/R
Where I is the current.
W stands for electrical power.
R stands for resistance in ohms then the value of I = 1.414
What is meant by electrical power?A circuit's ability to transport electrical energy is referred to as its electric power. One joule per second, or one watt, is the SI unit of power. Similar to other SI units, watts have standard suffixes that refer to thousands, millions, and billions of watts as kilowatts, megawatts, and gigawatts, respectively.
Let the equation be I = √W/R
Where W and R are both within the square root symbol and
I is the current.
W stands for electrical power.
R stands for resistance in ohms.
When W = 100, R = 25, to solve for the value of I for each set.
I = √100/25
The square root of I = √4
W = 100, R = 50 and I = 2.
I = √100/25
The square root of I = √2
Therefore, the value of I = 1.414
To know more about electrical power, refer to the following link:
https://brainly.com/question/25144822
#SPJ4
