There are 63 students are in the 2015 senior class, 5 students who are taking chemistry and biology, but not physics, and 18 students who are not taking science.
What is the Venn diagram?A Venn diagram is a graphic that employs circles to depict connections between objects or finite groups of objects.
Circles that overlap share characteristics, but circles that do not overlap do not.
In the Venn diagram the following data is observed;
Chemistry - 9
Biology - 11
Physics - 7
Biology+Chemistry- 5
Biology+Physics - 4
Physics+Chemistry -6
Physics+Chemistry+Biology-3
None of the three - 18
Total -- 63
We can clearly see from the table that the grand total of the table of data is the total number of pupils in the senior class. In other words, the total number of people is 63.
In addition, there are 7 students who are taking chemistry and biology but not physics.
The number of students who do not take science is equal to the number of students who do not take biology, chemistry, or physics, i.e. the 18 students outside the circle.
There are 63 students are in the 2015 senior class
There are 5 students who are taking chemistry and biology, but not physics.
There are 18 students who are not taking science.
Hence there are 63 students are in the 2015 senior class, 5 students who are taking chemistry and biology, but not physics, and 18 students who are not taking science.
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A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2. 3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 20x 8. What is the height of the ball 1. 5 seconds after it is thrown? 11. 7 meters 13. 8 meters 15. 5 meters 17. 5 meters.
The height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.
How to model a mathematical function?The mathematical functions is used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple mathematical function-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second.
After approximately 2.3 seconds, the ball lands on the ground.
The ball’s motion can be modeled using the function
[tex]f(x) = -10x^2 +20x+ 8[/tex]
Here, x represents the time in seconds.
As, the height of the ball 1.5 seconds after it is thrown has to be found out. Thus, put the values of in the above equation as,
[tex]f(x) = -10(1.5)^2 +20(1.5)+ 8\\f(x)=-22.5+30+8\\f(x)=15.5\rm \; m[/tex]
Hence, the height of the baseball after the 1.5 seconds of time as the boy throw the ball is 15.5 meters.
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Break Even Analysis for Small Business 1) Jesse wants to start a business making and selling skateboards. She will charge $75 for each one. Her cost will be $30 per skateboard for materials. She must pay $500 per month rent (which includes utilities) so that she has a place to make and sell the skateboards. a) Write a rule for her revenue (money coming in). b) Write a rule for her cost.
Answer:
a) r(b) = 75b
b) c(b) = 30b +500
Step-by-step explanation:
Revenue is the product of the selling price per unit and the number of units. The cost will be the sum of fixed (overhead) cost and production cost per unit multiplied by the number of units produced.
__
Let b represent the number of skateboards Jesse produces in a month.
a)Jesse receives $75 for each skateboard sold. Her revenue from selling 'b' skateboards is ...
r(b) = 75b
__
b)It costs Jesse $30 for each skateboard produced, and $500 for overhead. Her total cost is ...
c(b) = 30b +500
_____
Additional comment
In order to break even, Jesse's revenue must equal her cost:
75b = 30b +500
45b = 500
b = 11 1/9
Jesse must produce and sell 12 skateboards each month to cover her costs. (In a real business, there are additional considerations related to inventory, shrinkage, returns, discounts, and other things that may increase cost or reduce revenue.) After covering costs, each additional skateboard sold will give Jesse a profit of $45.
A cone has a volume of 314 cubic meters and a height of 12 meters. What is its radius?
Answer:
About 5 meters
Step-by-step explanation:
v= πr² h/3
r= √3 v/πh= 3•314/ π•12= 4.99873 rounded which then rounds to 5
please help me thank you
Answer:
grafic 2
Step-by-step explanation:
What is 60% of 50?
coins
Answer:
30
Step-by-step explanation:
do 50 divided by 10 wich is 5 so ever 5 is 10 percent so the do 5 times 6 to get 30!
BRAINLIEST!!! HELP DUE IN 27MINUTES
Lim 3x³ + 2x² + x + 1. x→0
Answer:
3mx3Li+2x2+2x→0
Step-by-step explanation:
[tex]\lim_{x \to0} 3x^3 +2x^2+x+1=3(0)^3+2(0)^2+0+1= 1[/tex]
Hope that helps!
Definition of limit: Limits describe how a function behaves near a point, instead of at that pointwhat’s the answer??
Answer:
KL = 3.4
Step-by-step explanation:
[tex]\frac{LI}{HE} =\frac{KL}{HG}[/tex]
[tex]\frac{5}{16} =\frac{KL}{11}[/tex]
[tex]KL=11(\frac{5}{16} )=55/16=3.4375[/tex]
Hope this helps
A state representative took several random surveys of adults to find which palce they visited most frequently. The average of all of the surveys is shown in this table.
Answer:
On average, 2 out of 10 adults visited the museum most frequently
Step-by-step explanation:
what is the problem for 3x + 2 =5 and what is the answer??
Answer:
x=1
Step-by-step explanation:
3x1+2=5
Answer:
I'm assuming you're trying to find x.
In this problem, x = 1
Step-by-step explanation:
3x + 2 = 5
-2 -2 Subtract 2 from each side
3x = 3
3x/3 = 3/3 Divide each side by 3
x = 1
Your payment is $300 per month for 48 months and you made a $2,000 down payment. What is your total cost of leasing?
$14,600
$16,400
$14,400
$12,400
Answer:
$12,400
Step-by-step explanation:
$300 x 48 = $14,400
$14,400 - $2000(down payment) = $12,400
A cone has a volume of 376.8 cubic
millimeters and a height of 10
millimeters. What is its radius?
Answer:
36.23
Step-by-step explanation:
Finding the radius of a cone with volume given =
3V / πh, π = 22/7 = 3.14
3 x 376.8 / π x h = 1130. 4 / π x 10
1130.4 / 3.14 x 10 = 1130.4 x 31.42 = 36.23
a
In a class of 40 students, 35% of them walk to school. Half the number of the remaining students
take the school bus. How many students take the school bus?
Answer:
18
Step-by-step explanation:
35% of the 40 students that walk to school is: 14.
Half of the remaining students take school bus: 40-14 = 36/2 = 18
Brandon bought 21 chicken wings for $39. 90. How much would it cost for 15 wings?
Answer:
$28.50
Step-by-step explanation:
21 chicken wings= $39.90
1 chicken wing= 39.90÷21= $1.90
15 chicken wings= 15×1.90= $28.50
:)
Answer:
$28.50
Step-by-step explanation:
Knowing that :
Brandon brought 21 chicken wings for $39.90
Asking:
How much would it cost for 15 Wings?
Solve:
We first need to know how much is 1 Wings.
To find that Divide Cost by chicken
Thus, 39.90 divide by 21..
=1.90
Hence, 1 Wings ⇒ 1.90
Then Multiply by 15 wings to find the cost of 15 wings.
1.90 * 15 = 28.50
Therefore, 15 Wings Cost $28.50
[RevyBreeze]
A missing piece of a board game, a circular disk, had an area of 100,608. 7. The replacement disks online a
listed using circumferences. What size circumference should be ordered?
1. 179 mm
2. 1,263,645. 774 mm
3. 0. 7 mm
4. 1,124. 12 mm
HELP ME EXPLAIN PLEASE HURRY!!!!
Answer:
40
Step-by-step explanation:
The formula is: a² + b² = c²
Looking at the picture, 41 is the hypotenuse of the triangle. We can now solve.
9² + b² = 41²
Which the answer is 40.
Solve this system of equations algebraically: y x = 19 – x2 x y = 80 1. Isolate one variable in the system of equations. Y = –x2 – x 19 y = –x 80 2. Use substitution to create a one-variable equation. –x 80 = –x2 – x 19 3. Solve to determine the unknown variable in the equation. The system has real number solution(s).
System of equations helps to solve real-life problems. The system of equations will not have no solution.
What is a System of the equation?Inconsistent System
A system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
The two of the system of equations given to us are,
[tex]y+x=19-x^2[/tex]
[tex]x+y = 80[/tex]
Now,
1. The first step is to isolate one variable in the system of equations,
[tex]y=19-x^2-x[/tex]
[tex]y=80-x[/tex]
2. The second step is to substitution to create a one-variable equation.
[tex]80-x=19-x^2-x\\x^2-x+x=19-80\\x^2 = -61[/tex]
Now, since the value of x is the negative square root. therefore, the system of equations will not have a real number of solutions.
If we plot the two equations on the graph, then the line of the system of equations will not intersect any point, therefore, the system of equations will have no solution.
Hence, the system of equations will not have no solution.
Learn more about the System of the equation:
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Answer:
0 solutions
Step-by-step explanation:
Edge 2022
What is the value of this expression?
( 12 1/3 + 5 1/3 ) - ( 7 4/8 - 7 1/6 )
Enter your answer on the box as a mixed number in simplest form.
Answer:
17 1/3
Step-by-step explanation:
12 1/3+ 5 1/3=17 2/3
7 4/8- 7 1/6=1/3
17 2/3-1/3= 156/9 Simplest form=17 1/3
Hope that helped.
help meeeee I'm going to fail
Answer:
A, C, and D, are correct
Step-by-step explanation:
We can find the answer to each of these by simply doing the math for each one
[tex]3*\sqrt{2} = 4.24\\\frac{1}{2} *\sqrt{68} = 4.123\\\sqrt{17} = 4.123[/tex]
Answer:
A, C, and D
Step-by-step explanation:
A is 4.24
B is 3.54
C is 4.12
D is 4.12
E is 5.29
PARALLELOGRAM QUESTION, LOTS OF POINTS! (i will report if you dont answer correctly)
Answer:
65°
step-by-step explanation:
opposite angles of a parallelogram are of equal measure.solve for x:
116x - 1 = 114x + 1
116x - 114x = 1 + 1
2x = 2
x = 1
Find angle C:
The base angles in parallelogram sum up to 180°m∠C + 116(1) - 1 = 180°
m∠C = 180° - 115
m∠C = 65°
Solution:
We know that:
Opposite angles in a parallelogram are equal.Sum of the angles in a quadrilateral always sum up to 360°This means that:
[tex]116x - 1 = 114x + 1[/tex][tex]\angle C = \angle E[/tex][tex](116x - 1) + (114x + 1) + \angle C + \angle E = 360\°[/tex]Step-1: Find the value of x.
[tex]116x - 1 = 114x + 1[/tex]
[tex]\rightarrow 116x - 114x = 1 + 1[/tex]
[tex]\rightarrow 2x = 2[/tex]
[tex]\rightarrow \bold{x = 1}[/tex]
Step-2: Solve for ∠C.
[tex](116x - 1) + (114x + 1) + \angle C + \angle C = 360\°[/tex]
[tex]\rightarrow (116x - 1) + (114x + 1) + \angle C + \angle E = 360\°[/tex] [∠C = ∠E]
[tex]\rightarrow 116x - 1 + 114x + 1 + 2\angle C = 360\°[/tex]
[tex]\rightarrow 230x + 2\angle C = 360\°[/tex]
[tex]\rightarrow 230(1) + 2\angle C = 360\°[/tex] [x = 1]
[tex]\rightarrow 230 + 2\angle C = 360\°[/tex]
[tex]\rightarrow 2\angle C = 360 - 230[/tex]
[tex]\rightarrow 2\angle C = 130[/tex]
[tex]\rightarrow \boxed{\bold{\angle C = \frac{130}{2} = 65\°}}[/tex]
How many minutes longer does it take Morowa to complete a job in three-quarters
of an hour than Osei who completes the job in five-twelfths of an hour!
Need Help please serious answers. I appreciate it !!
A) x=6
B) 50
Step-by-step explanation:
[tex]8x + 2 + 70 + 60 = 180[/tex]
[tex]8x = 180 - 132[/tex]
[tex]8x = 48[/tex]
[tex]x = 6[/tex]
~
[tex] \angle \: b = 8x + 2[/tex]
[tex]8(6) + 2[/tex]
[tex]50[/tex]
[tex] \angle \: b = 50[/tex]
~
Due to symmetry, the probability that the standard normal random variable Z is less than 0 is equal to ______. Multiple choice question. 0
Answer:
.5
Step-by-step explanation:
The probability that a normal random variable is less than its mean is .5
I need help with numbers 18-20 The instructions are to factor the greatest common factor out of every term of polynomial. Pls help me I have not been able to figure these problems out
Answer:
Solving steps:
18) 16a²b - 8abc + 4ab²c²
=> 4ab(4a - 2c + bc²)
19) 3x³ + 3x² - 3x
=> 3x(x² + x - 1)
20) 2abx² + 3abx³ - 4abx[tex] {}^{4} [/tex]
=> abx²(2 + 3x - 4x²)
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer: C. [tex]f(n) = -4(-3)^{n-1}[/tex]
Step-by-step explanation: The formula for a geometric sequence is [tex]ar^{n-1}[/tex], where a = first term in the sequence
r = common ratio
n = position of term
Here they already told us a = -4, so we have to figure out r. We can see that in the sequence -4, 12, -36, 108... the terms are being multiplied by -3, which is why the negative and positive terms alternate.
Therefore, the formula is: [tex]f(n) = -4(-3)^{n-1}[/tex]
You can try inserting n to check it.
[tex]f(1) = -4(-3)^{1-1} = -4\\f(2) = -4(-3)^{2-1} = 12\\f(3) = -4(-3)^{3-1} = -36\\f(4) = -4(-3)^{4-1} = 108[/tex]
Option C
Let's verify
f(1)=-4(-3)^0=-4f(2)=-4(-3)^1=12f(3)=-4(-3)^2=-36Hence verified
Please Help ASAP I Need It Plsss
Answer:
need points lol
Step-by-step explanation:
URGENT!!!! WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
6, 9, 27/2, ....
Find the 6th term.
geometric sequence
[tex]\tt U_n=ar^{n-1}[/tex]
a = 6 = first term
r = ratio = [tex]\tt \dfrac{9}{6}[/tex]
the 6th term (n=6)
[tex]\tt U_6=6\times (\dfrac{9}{6})^{6-1}\\\\U_6=6\times \dfrac{9}{6}^5\\\\U_6=\dfrac{9^5}{6^4}=45.5625\rightarrow rounded~to nearest~thousandth=45.563[/tex]
Consider the trinomial 6x2 13x 6. The value of ac is. The value of b is. The two numbers that have a product of ac and a sum of b are 4 and.
The value of ac is 36 and the value of b is 13. Then the value of ac + b is 49. The two numbers are 4 and 9.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Consider the trinomial 6x² + 13x + 6.
Compare with the standard equation, we have
ax² + bx + c
Then we have
a = 6
b = 13
c = 6
The product of ac will be
ac = 6 × 6 = 36
The sum of ac and b will be
ac + b = 36 + 13 = 49
The two numbers that have a product of ac and a sum of b are 4 and 9.
More about the polynomial link is given below.
https://brainly.com/question/17822016
Answer:
36,13,9
Step-by-step explanation:
Just took the test 2022
1)) Solve for t. t 1.28 > 5.5
[tex]1.28 \geqslant \frac{t}{5.5} [/tex]
Answer:
x = 1.28t^2 > 5.5
Answer:
[tex]t\le \:7.04[/tex]
Step-by-step explanation:
[tex]1.28\ge \cfrac{t}{5.5}\:(\bold{Switch \: sides})[/tex]
[tex]\cfrac{t}{5.5}\le \:1.28[/tex]
[tex]\cfrac{5.5t}{5.5}\le \:1.28\cdot \:5.5\:(\bold{ Multiply\: both\:sides\:by\: 5.5})[/tex]
[tex]t\le \:7.04[/tex]
~
This year, the number of seventh graders at a middle school has increased by 20% (on top of the number of seventh grader last year). there are now 180 seventh graders. What was the number of seventh grader last year?
35 + 2x = 60. HELP PLS
Answer:
=> x = 12.5Step-by-step explanation:
=> 35 + 2x = 60
=> 2x = 60-35
=> 2x = 25
=> x = 25/2
=> x = 12.5