Step-by-step explanation:
1. let n=2, then, n+2= 2+2=4 so 2^2= 4 and 4^2=16 then 16-4=12 which is an even number
2. let n=4, the. n+3=4+3=7, and 4^2=16 and 7^2=49 then 49-16 =33 which is an odd number
please follow me
How can you find the conditional probability of A given B as the fraction of B's outcomes that also belong to A, and interpret the answer in terms of the model?
The given fractions representing the conditional probability is P(A | B) = P(AnB)/P(B)
Conditional ProbabilityThis is the probability that an event has happened given another event. If the two events are A and B, hence;
The conditional probability of A given B is expressed as:
P(A | B) = P(AnB)/P(B)
This given the fractions representing the conditional probability
Learn more on conditional probability here: https://brainly.com/question/10739997
#SPJ1
Which transformations would result in a geometric figure that is exactly the same size as DEF? check all that apply
Answer:
A C D Because dilate means to become larger/smaller
Step-by-step explanation:
The coefficient of 8 · 2N is
Answer:
the leading coefficent is 16 or 16n (leading term)
Step-by-step explanation:
Which features are present in this polar graph?
A. No symmetry
B. Symmetry about the pole (0,0)
C. Symmetry about the line Theta=pi/2
D. Symmetry about the polar axis Theta=0
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\texttt {D. Symmetry about the polar axis Theta = 0} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The given graph is symmetric along Theta = 0
[ polar axis ]
Because it's a horizontal line that divides the features on the graph into two equal halves. and there's no other suitable symmetric relation.
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Translate the algebraic expression below into a written expression.
5x ^ 3 + 2x ^ 2 - 9
A. five times X cubed plus two times X squared plus nine
B. five times X cubed and two times X squared minus nine
C. five times X squared plus two times X cubed minus nine
D. the sum of five times X squared and two times X cubed minus nine
Answer:
B
Step-by-step explanation:
five times x cubed plus/and two times x squared minus nine.
find the value of y when x equals 0
-7x+3y=30
A store selling school supplies advertises a bundle deal. The consumer can
pick a backpack, a binder, a pack of pencils, and notebook paper for a set
price. There are 6 types of backpacks, 4 types of binders, 5 types of pencils,
and 2 types of notebook paper. How many outcomes are possible in this
bundle?
Answer:
D. 240
Step-by-step explanation:
6 types of backpacks = 6
4 types of binders = 4
5 types of pencils = 5
2 types of notebook paper= 2
6×4×5×2=
24×10=
240
The number of possible outcomes will be 240. The correct option is D.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that there are 6 types of backpacks, 4 types of binders, 5 types of pencils, and 2 types of notebook paper.
6 types of backpacks = 6
4 types of binders = 4
5 types of pencils = 5
2 types of notebook paper= 2
The number of possible outcomes will be calculated as:-
N = 6×4×5×2
N = 24×10
N = 240
Therefore, there will be 240 possible outcomes. The correct answer is D.
To know more about an expression follow
https://brainly.com/question/3934279
#SPJ2
If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
Answer:
The expression that represents the PS is 7x – 7 .
if I am right mark the answer as brainliest
Difference between 13.40 and 17.15
Answer:
3.75
Step-by-step explanation:
17.15-13.40=3.75
Answer:
3.75
Step-by-step explanation:
17.15- 13.40=3.75
Compare the ratios using the models.
7 to 16
6:8
Which statements are true? Check all that apply.
The model for the ratio 7 to 16 should show 7 cells
shaded.
The model for the ratio 6:8 should show 8 cells
shaded.
The ratio 7 to 16 is greater than 6:8.
The ratio 6:8 is greater than the ratio 7 to 16.
The correct options are Option A: the ratio 7 to 16 should show 7 cells shaded and Option D: 6:8 is also greater than 7:16.
The ratio is the representation of the fraction where the fraction is represented by : symbol.
In the ratio a:b, it simplifies that a number of parts are shades among b number of cells.
Here given two ratios are 7:16 and 6:8.
The ratio 7:16 simplifies that 7 cells are shaded from 16 number of cells.
similarly, 6:8 simplifies that 7 cells are shaded from 8 number of cells.
As 6:8 and 7:16 can be written as in the fraction form which are 6/8 and 7/16.
Then multiply 2 in both denominator and numerator of 6:8 will be
6/8= 12/16
Now comparing between 12/16 and 7/16
12/16 > 7/16 as the denominator is same and the numerator is greater in 12/16.
Then 6:8 is also greater than 7:16.
So by checking all the options
Option A is correct: from above i is clear that the ratio 7 to 16 should show 7 cells shaded.
Option D is correct: 6:8 is also greater than 7:16.
Learn more about ratio
here: https://brainly.com/question/2328454
#SPJ10
There are eight shirts in your closet, three blue, two are black, one is green, and two are white. You randomly select one to wear on Monday and then a different one on Tuesday. What is the probability that you wear blue shirts on both days?
(please write an explanation)
The probability of wearing blue shirts on both days is 3/28.
What is probability?Probability is the measure of the likelihood of an occurrence.
Given:
8 shirts are available out of which 3 are blue, 1 is green and 2 are white.
P(blue on Monday) = 3/8
Now, 7 shirts are left to wear on Tuesday
P(blue on Tuesday) =2/7
So,
the probability of wearing blue shirts on both days = 3/8 * 2/7 = 3/28
Learn more about probability here:
brainly.com/question/24756209
#SPJ1
Match each equation to the situation it represents.
Answer:
1-3
2-2
3-1
Step-by-step explanation:
The pie chart below shows how the annual budget for a certain companies divided by department is a total budget is 15,000,000 what amount is budgeted for sales research and engineering combined
If the amount of budget for media and sales combined is $25,000,000. Then the total annual budget will be $125,000,000.
The complete question is attached below.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
The pie chart below shows how the annual budget for a certain company divided by department.
If the amount of budget for media and sales combined is $25,000,000.
Then the total annual budget will be
Let x be the total annual budget.
17% + 3% = 25,000,000 / x
20% = 25000000 / x
0.20 = 25000000 / x
x = $125,000,000
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
Determine the x-intercept of the following equation.
(-x-2)(x-3)=y
Answer:
3,-2
Step-by-step explanation:
set y =0 and solve
(-x-2)(x-3)=0
the values 3, -2 solve the equation and are your x-intercepts
the area of a cylinder is 25[tex]\pi[/tex]cm2 and its height is 11 cm.
find the base diameter and area of the wrapper in terms of [tex]\pi[/tex]
The diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².
What is Cylinder?A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.
Here, Given area of cylinder = 25π cm²
Height of cylinder = 11 cm.
Now, Area of Cylinder = 2πrh
25π = 2πr X 11
25 = 22r
r = 25 / 22
r = 1.14 cm
Then, diameter = 2r = 2 X 1.14 = 2.28 cm
Now area of wrapper = total surface area = 2πr(r + h)
= 2π X 2.28 (2.28 + 11)
= 4.56π X 13.28
= 60.56π cm²
Thus, the diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².
Learn more about Cylinder from:
https://brainly.com/question/3216899
#SPJ1
find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9%.
p=____%
The probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be 0.000343311 %
What is the probability?Probability is synonymous with possibility. It is concerned with the occurrence of a random event.
Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.
No of failure,n = 7
No of trials,x≥6
A binomial probability is represented as;
[tex]\rm P(x) = nC_x p^z(1-p)^{n-r}[/tex]
Substitute the given data;
[tex]P(x \geq 6) = 7C_6 \times 9^6 \times 91-9)^{7-6} +7C_7 (9)^7+(1-9)^{(7-7)}[/tex]
[tex]\rm P(x \geq 6) = 0.000000343311 \\\\ P(x \geq6)=0.000343311 \%[/tex]
Hence,the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one trial is 9% will be 0.000343311 %
To learn more about probability, refer to the link: https://brainly.com/question/795909.
#SPJ1
If a plane including pints p,q and r cuts through the cube
If a plane including pints p,q, and r cuts through the cube, the shape that will be gotten is a triangle.
What is a triangle?A triangle is a polygon with three edges and three vertices. The sum of the internal angles of a triangle is equal to 180 degrees.
In this case, when a plane including pints p,q, and r cuts through the cube, the shape that will be gotten is a triangle.
The diagram is attached.
Learn more about triangles on:
https://brainly.com/question/2644832
#SPJ1
On a coordinate plane, 2 dashed lines are shown. The first straight line has a negative slope and goes through (0, 1) and (2, 0). Everything below and to the left of the line is shaded. The second straight line has a positive slope and goes through (negative 1, 0) and (0, 2). Everything above and to the left of the line is shaded. A point is shown at (negative 3, 1).
Which system of inequalities with a solution point is represented by the graph?
y > 2x – 2 and y < Negative one-halfx – 1; (3, 1)
y > 2x – 2 and y < Negative one-halfx + 1; (–3, 1)
y > 2x + 2 and y < Negative one-halfx – 1; (3, 1)
y > 2x + 2 and y < Negative one-halfx + 1; (–3, 1)
Answer:
Using the concepts of coordinate system and equation of line, we find that y ≥ (1/3)x + 3 and 3x-y > 2 are represented by the graph.
Step-by-step explanation:
Equation of line passes through points (a, b) and (c, d) is given by:
y-b = [(d-b) / (c-a)] / (x-a)
Given that the first solid line (≤ or ≥) has a positive slope and goes through (0, 3) and (3, 4).
y-3 = [(4-3) / (3-0)] / (x-0)
y-3 = x / 3
y - (1/3)x = 3
Also, everything above the line is shaded, i.e. the inequality represents the first graph: y ≥ (1/3)x + 3
The second dashed line (< or >) has a positive slope and goes through (0, - 2) and (1, 1).
y+2 = [(1+2) / (1-0)](x-0)
y+2 = 3x
3x-y = 2
Everything to the right of the line is shaded.
i.e. inequality represents the second graph: 3x-y > 2
Hence, the system of linear inequalities is represented by the graph :
y ≥ (1/3)x + 3
3x-y > 2
For more explanation, refer the following link:
https://brainly.com/question/13284474
#SPJ10
Answer:
D
Step-by-step explanation:
Got it right on edge 2022
Yui makes a list of the balances in her savings account at the end of each month. She notices that each month’s total is 5% greater than the previous month’s total. She writes a recursive formula to describe the account balances.
The Common Ratio is 1.05 . Option C is the answer.
The complete question is
Which value should she use as the common ratio?
0.05
0.5
1.05
5.0
What is common Ratio ?In a Geometric Sequence the ratio between each if the consecutive number is called the common Ratio.
Let Yui saving at the end of first month is Rs.x .
As given in the question
each month’s total is 5% greater than the previous month’s total.
Saving after second month is = First Month Total + 5% of First Month Total
= x + (5 % of x )
= x + (5*x/100)
= x + 0.05x
= 1.05x.
Yui balance is 1.05 times of Previous Month balance
Common Ratio = {Next Month }/ {Previous Month}
Common Ratio = 1.05 x / x
Common Ratio = 1.05
Therefore Common Ratio is 1.05 . Option C is the answer.
To know more about Common Ratio
https://brainly.com/question/13637951
#SPJ1
Find two integers whose sum is 2 and product is -3
Answer: -1+3=2 and -1×3=-3
Step-by-step explanation:
This is the best answer I could give. I hope this helps!! :)
X+1/2y=5 What is the rate of change of y with respect to x?
Answer:
I'll do it the answer to x is 5 0 the answer to y will be 0 10
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Consider the given table. x -2 2 5 9 f(x) 5 17 26 ?
The "?" in the table represents the number_because the average rate of change on every interval of the function is_ .
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The value of f(x) when the value of x is 9 is 38.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The given data points are in a linear relation, therefore, if we find the slope of the line on which these data points will be located. Then the slope will be,
m = (17-5)/(2+2) = 3
Now, equate any point and the slope in the general equation of line, therefore, the equation will be,
y = 3x + c
17 = 3(2) + c
17 - 6 = c
c = 11
Further, the value of f(x) when the value of x is 9 will be,
f(x) = 3x + 11
f(9) = 3(9) + 11
f(9) = 38
Hence, the value of f(x) when the value of x is 9 is 38.
Learn more about Equation of Line:
https://brainly.com/question/21511618
#SPJ1
Graph: y - 3 = (x + 2)
Answer:
Step-by-step explanation:
See attached graph.
ANSWER FAST PLEASE!!!
Which of the following systems of inequalities would produce the region
indicated on the graph below?
+11
10
Jadosak
-1
2 3
15
6
7
8 9
A. v2x+1; y210; x ≥ 0
B. v2x+1; y<10; x ≥ 0
O c. v
OD. V > x+1; y≤ 10; x ≥ 0
Answer: D
Step-by-step explanation:
We know that the line [tex]y=10[/tex] is shaded below, so it represents [tex]y \leq 10[/tex].
Similarly, the line [tex]y=x+1[/tex] is shaded above, so it represents [tex]y > x+1[/tex].
What is the value of k? -5 -3 3 5
Answer:
k = -3
Step-by-step explanation:
Generally, we determine k by observing
the vertical translation of the original graph
in this case it’s the graph of f
and count the number of units by which it’s translated.
Checking the sign of k :
If the graph is translated up then k > 0
If the graph is translated down then k < 0
……………………………………………………………………
in order to get the graph of g ,the graph of f
is translated 3 units vertically but down
then
k = -3
What was the problem at kenya airways described in this case? what management, organization, and technology factors contributed to this problem?
The management, organisation, and technology factors contributed to this problem are listed below.
What was the problem at Kenya Airways ?The problem in the airways was that corporation didn't know its customers, the airline hasn't been able to take use of its market opportunity in recent years.
Airways was unable to evaluate and keep track of its marketing efforts.
The technology factor that contributed were:
No reliable systems for tracking and accounting.The technology used was neither accurate nor consistent.The Organisation factors that contributed were
No communication between the organisation and the customersNo track record of the online campaigns and advertisement output Customer Relations Needed to be improved.The Management factors that contributed were
The management never gave reviews to the organisation about the failing system The management even didn't take reviews from the customers and from the people working.To know more about problem at Kenya Airways
https://brainly.com/question/27974672
#SPJ1
Separating variable in the equation gives you the following equation:
Answer:
[tex]\textsf{E.} \quad y\:dy=xe^x\:dx[/tex]
Step-by-step explanation:
Given equation:
[tex]ye^{-x}\dfrac{dy}{dx}=x[/tex]
Divide both sides by [tex]e^{-x}[/tex]:
[tex]\implies \dfrac{ye^{-x}}{e^{-x}}\:\dfrac{dy}{dx}=\dfrac{x}{e^{-x}}[/tex]
[tex]\implies y\:\dfrac{dy}{dx}=\dfrac{x}{e^{-x}}[/tex]
Multiply both sides by [tex]dx[/tex] :
[tex]\implies y\:\dfrac{dy}{dx}\cdot dx=\dfrac{x}{e^{-x}}\cdot dx[/tex]
[tex]\implies y\:dy=\dfrac{x}{e^{-x}}\:dx[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{1}{a^{-n}}=a^n:[/tex]
[tex]\implies y\:dy=xe^x\:dx[/tex]
Answer: E
Step-by-step explanation:
[tex]ye^{-x} \frac{dy}{dx}=x\\\\y \frac{dy}{dx}=xe^{x} \\ \\ \boxed{y dy=xe^{x} dx}[/tex]
f(x) = 3x + 2
g(x) = x^2 + 1
find gf(x) in the form ax^2 + bx + c
please add an explanation because i’ve seen it being solved i just do not understand some steps
like, where does 12x come from
Answer:
g(f(x)) = 9x² + 12x + 5
Step-by-step explanation:
g(f(x))
= g(3x + 2) ← substitute x = 3x + 2 into g(x)
= (3x + 2)² + 1
to expand (3x + 2)² = (3x + 2)(3x + 2)
each term in the second factor is multiplied by each term in the first factor
3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis
= 9x² + 6x + 6x + 4 ← collect like terms
= 9x² + 12x + 4
then
g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5
An unknown number b is 10 more than an unknown number k. The number b is also k less than 8. The equations to find k and b are shown below
b=k+10
b=-k+8
Which is a correct step to find k and b?
O Write the points where the graphs of the equations intersect the x-axis.
O Write the points where the graphs of the equations intersect the y-axis.
O Add the equations to eliminate k
O Multiply the equations to eliminate b.
Answer: Add the equations to eliminate k
Step-by-step explanation:
Adding the equations together, we get 2b=18.
Use the graph of the exponential growth function
f(x) = a(2x) to determine which statement is true.
f(0) = 2 when a = One-half.
f(0) = 3 when a = 3.
f(1) = 9 when a = 9.
By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)
How to analyze an exponential function
Herein we should analyze an exponential function of the form f(x) = a · 2ˣ and find what proposition is true by direct evaluation:
x = 0
2 = a · 2⁰
a = 2
x = 0
3 = a · 2⁰
a = 3
x = 1
9 = a · 2
a = 9/2
By direct evaluation of the exponential function f(x) = a · 2ˣ we conclude that the proposition "f(0) = 3 when a = 3" is the only true. (Correct choice: B)
To learn more on exponential functions: https://brainly.com/question/11487261
#SPJ1