Answer:
Term
Step-by-step explanation:
When you consider the amount of coverage you can get for your premium dollars, term life insurance tends to be the least expensive option for life insurance.
Answer:
term
Step-by-step explanation:
graph the function f(x) = 3(4)^x
Answer:
That depends on how accurate you are with pen and paper.
You can tell it's a growing exponential, so the form is the traditional one. If you are particularly inclined in crunching numbers and working on a grid I would pick 0, 1 and -1, 1/2 and -1/2, a few positive integers, and that's it.
If not, i would be satisfied saying that when x = 0 (ie, the y intercept) y= 3, and that's all. Then, my drawing is made with paint, don't expect a masterpiece.
Match each system of equations to its point of intersection.
y = 2x + 1
y = x + 3
y = x + 3
y = -3x - 2
y = -x - 7
y = x + 3
y = -x - 7
y = 2x + 1
y = 2x + 1
y= -3x - 2
Answer:
1. (2,5)
2. (-1.25, 1.75)
3. (-5,-2)
4.(-2.66, -4.33)
5. (-0.6, -0.2)
Step-by-step explanation:
Solve by substituting the y's and solve for x. Plug in x into one of the equations and find the y value for your point of intersection
Answer:
Ur reatarded
Step-by-step explanation:
Write a function to represent the set of ordered pairs.{(2, -8), (3, -18), (4, -32), (5, -50)}
A) f(x) = -4x
B) f(x) = -2x2
C) f(x) = x - 10
D) f(x) = -8x2
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
The domain and range of the functions are:
Function (A):
Domain: (-2, -1, 0, 2); Range: -4Function (B):
Domain: (-4, -2, 1, 4); Range: -8What are domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest.So, the domain and range of the function:
Function (A):
Domain: (-2, -1, 0, 2)Range: -2 -2 = -4Function (B):
Domain: (-4, -2, 1, 4)Range: -4 -4 = -8Therefore, the domain and range of the functions are:
Function (A):
Domain: (-2, -1, 0, 2); Range: -4Function (B):
Domain: (-4, -2, 1, 4); Range: -8Know more about the domain and range here:
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Asher's sister is eight years older than
Asher. Their combined ages add up to 20.
How old is Asher?
Equation:
Solution:
if 2+8=10 then 12+8=20 so Asher is 12 years old while His sister is 20 cus we're adding Ash age to his sister which we don't kno what her age is but at the same time we both know that whatever her age is it adds up to 20
Eliminate the parameter, t, in the parametric equations, x = 3cos(t) and y = -6sin(t).
A) 2 x2 + y2 = 36
B) x2 + y2 = 2
C) 4 x2 + y2 = 36
D) x2 + y2 = 36
Recall that
cos²(t) + sin²(t) = 1
Then solving for cos(t) and sin(t), we have
x = 3 cos(t) ===> cos(t) = x/3
y = -6 sin(t) ===> sin(t) = -y/6
so that the above identity gives us
(x/3)² + (-y/6)² = 1
x²/9 + y²/36 = 1
36 (x²/9 + y²/36) = 36
(C) 4x² + y² = 36
The parametric equation in the Cartesian form is 4x² + y² = 36 the correct choice is (C).
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
We have two parametric equations:
x = 3cos(t) and
y = -6sin(t).
As we know, the trigonometric identity:
sin²θ + cos²θ = 1
For checking the option (A):
2x² + y² = 36
= 2(3cos(t))² + (-6sin(t))²
= 18cos²t + 36sin²t ≠ 36
Similarly, for checking the option:
4x² + y² = 36
= 4(3cost)² + (-6sint)²
= 36cos²t + 36sin²t
= 36(cos²t + sin²t)
= 36(1) = 36
Thus, the parametric equation in the Cartesian form is 4x² + y² = 36 the correct choice is (C).
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I dont understand this question and i keep getting it wrong.
Answer:
48
11
Step-by-step explanation:
5 glasses ------ 20 sec
12 glasses ------ ?
so 5 * x = 12 * 20
x = 12 * 4
x = 48
12 glasses ------- 48 sec
? glasses ------- 44 sec
so 12 * 44 = x * 48
44 = x * 4
x = 44/4 = 11
x = 11
Answer:
12 - 48
11 - 44
Step-by-step explanation:
20 ÷ 5 = 4
12 · 4 = 48
44 ÷ 4 = 11
I hope this helps!
Part C What conclusion can you draw from this? To determine whether they used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?
Answer:
We can conclude that someone used more tiles then the other because both equations are not equal.
Step-by-step explanation:
If you try to solve it both equations will not be shown as equal.
8th-grade math need help asap
Answer:
C
Step-by-step explanation:
-5(x - 19) ≤ -6 + 2x Remove the brackets on the left
-5x +95 ≤ -6 +2x Add 5x to both sides.
95 ≤ -6 + 2x +5x combine
95 ≤ -6 + 7x Add 6 to both sides
101 ≤ 7x Divide by 7
101 /7 ≤ x
What you do next is both tricky and time consuming. You have to get x on the left and the fraction on the right. So subtract x from both sides. And subtract 101/7 from both sides. They both become minus.
101/7 - 101/7 ≤ -101/7 + x
0 ≤ -101/7+ x Now subtract x from both sides
-x ≤ -101/7 + x -x
-x ≤ -101/7
Now comes the really nasty part. You have to get x > 0 and -101/7>0 That's easy enough. You just multiply both sides by -1
x ≤ 101/7
But when you do that (and this where you have to pay attention) the ≤ becomes ≥
x≥ 101/7
7.21. For a group of 100 people, compute a. the expected number of days of the year that are birthdays of exactly 3 people; b. the expected number of distinct birthdays.
The expected number of a dataset is the mean of the dataset
The expected number of selection is: [tex]\mathbf{E(x) =365\times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]The expected number of distinct birthdays is: [tex]\mathbf{E(x) = 365\times (1 - (\frac{364}{365})^{100})}[/tex]The given parameters are:
[tex]\mathbf{n = 100}[/tex] --- sample size
[tex]\mathbf{r = 3}[/tex] --- selection of 3 people
(a) The expected number of birthdays
The probability of a having a birthday on a certain day is:
[tex]\mathbf{p = \frac{1}{365}}[/tex]
The probability of not having a birthday on the day is:
[tex]\mathbf{q = \frac{364}{365}}[/tex]
For a selection of 3 people in 100, the expected number of selection is:
[tex]\mathbf{E(x) =Days \times ^{100}C_3 \times p^3 \times q^{100 - 3}}[/tex]
So, we have:
[tex]\mathbf{E(x) = Days \times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{100 - 3}}[/tex]
Rewrite as:
[tex]\mathbf{E(x) =Days \times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]
There are 365 days in a year.
So, the expression becomes
[tex]\mathbf{E(x) =365\times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]
(b) Expected number of distinct birthdays
The probability that a person from the has his birthday on a certain day is:
[tex]\mathbf{p = 1 - (\frac{364}{365})^{100}}[/tex]
For 365 days, the expected number of distinct birthdays is:
[tex]\mathbf{E(x) = Days \times (1 - (\frac{364}{365})^{100})}[/tex]
There are 365 days in a year.
So, the expression becomes
[tex]\mathbf{E(x) = 365\times (1 - (\frac{364}{365})^{100})}[/tex]
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Describe the domain and range. Graph the function. What do I do with the -3? The graph shows that y and x are at 0 so...?
Answers:
Domain: all real numbers
Range: [tex]y \le 6[/tex]
Graph is below.
====================================================
Explanation:
This is a piecewise function that is composed of two parts:
The first piece being y = x+6 but only when [tex]x \le 0[/tex]The second piece occurs when x > 0 and that piece is y = -3xThis piecewise function has split identities or multiple aliases so to speak. It all depends on what the x input is.
The graph is shown below.
The domain is the set of all real numbers since any x value will lead to some y output. Even x = 0 itself is allowed. Note the arrows indicate the graph stretches on forever to the left and to the right.
The range on the other hand isn't all real numbers. Instead, it's [tex]y \le 6[/tex] indicating that y = 6 is the largest y can get. Simply locate the highest point on the graph (similar to the concept of the vertex) and you'll spot the highest y value.
Side notes:
The domain in interval notation is [tex](-\infty, \infty)[/tex] which encompasses the entire real number line.The range in interval notation is [tex](-\infty, 6][/tex] where the square bracket includes the endpoint 6.Please fill in this graph for brainliest. EASY:):):)
Answer:
Rounded up percentages:
Corn: 15.65%
Green Beans: 16.52%
Tomatoes: 6.96%
Carrots: 13.04%
For exact percentages divide this with a calculator:
Corn: 360/2300
Green Beans: 380/2300
Tomatoes: 160/2300
Carrots: 300/2300
Leah is solving the equation below using the properties of exponents.
2^2x-3 = (1/16)^3x+9
Here is Leah's work: (see attached picture)
Which line has Leah's mistake? What is Leah's mistake?
Answer:
Lea messed up on line one when you flip a fraction the exponents become negative hers haven't changed
Step-by-step explanation:
(8,5), (-2,7), (12, -3), (9,-5). (18,4) Which numbers are input values of the function? Select all that apply. 9,4,-3,-2,8
Answer: Input values are 8,-2,12,9, and 18, so select 9 and -2.
What is 5×(4×2) the product of it
Answer:
40
Step-by-step explanation:
4x2=8
8x5=40
help please and thank you
Answer:
Function: c = 2(m) + 5
A: Jason will spend $11 because 2(3) + 5 = (6 + 5) =11
B: No, because 2(7) + 5 = (14 + 5) = 19 and he only has 15 dollars.
Step-by-step explanation:
Cost = $2(the rate per mile) x (M)(miles driven) plus $5 (base cost)
For A and B I solved using the function.
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
Answer:
b) I think. sorry if its wrong.
Step-by-step explanation:
Can you help me in this question ASAP!!!
Answer:
increase
$750
y=750x+1000
How many weeks are there a month?
Answer:
4 weeks
Step-by-step explanation:
Answer:
About 4 weeks
Step-by-step explanation:
Help Pleasee ASAP !!
Answer:
X= 65
Y= 120
Step-by-step explanation:
3y +235 = y-5
2y +235 = - 5
2y = 240
Y = 120
2x - 60 = x-5
X - 60 = - 5
X = 65
Solve for x: 2/3 = x-1/5
Answer: x=13/3
Step-by-step explanation:
Solve for x
12x = 22
=
Give your answer as an improper fraction in its
simplest form.
X =
Answer: 11/6 0r 1 5/6
Step-by-step explanation:
12x = 22
x = 22/12
x = 11/6 or 1 5/6
If a painter paints 3 rooms in 1/2 day, what would be a reasonable estimate, how many rooms would painter paint in working 5 days? What is painters rate of painting in rooms painted per day? *
Answer:
Rate per day: 6 rooms
estimate: 6*5 = 30 rooms
Find the perimeter of a rectangle with length 11xm and it’s area is 99cm2
Answer:
40cm :)
Step-by-step explanation:
-74 = 4/9x - 2 equation
Answer -162
Step-by-step explanation:
Answer:
=−162
Step-by-step explanation:
The quotient of a number and -4 is -9
Answer:36
Step-by-step explanation:36÷ -4 = -9
The answer would be 36 which is 36÷ -4 = -9 after applying the arithmetic operation.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
The quotient of a number and -4 is -9
Mathematically we can write:
x ÷ -4 = -9
x/(-4) = -9
x = 36
OR
36 ÷ -4 = -9
Thus, the answer would be 36 which is 36÷ -4 = -9 after applying the arithmetic operation.
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Please help me I don’t understand this
Answer:
14/15
Step-by-step explanation:
9/15+5/15=14/15
3/5+1/3
common denominator is 15 ( just think about the 3 times table and 5 times table )
5*3=15
3*5=15
Multiply the denominator and numerator by 3 for 3/5
Multiply the denominator and numerator by 5 for 1/3
(3)(3)/(5)(3) +(1)(5)/3(5)
9/15+5/15= 14/15
Answer : 14/15
Evaluate x + y - 4 when x = 4 and y = 1
Answer:
1
Step-by-step explanation:
Subsitute x and y:
x + y - 4
= 4 + 1 - 4
= 1
How many ways can you arrange 2 letters from the word S Q U A R E
Answer:
30
Step-by-step explanation:
WE use permutation for this question:
since the letters in SQUARE are all distinct, so:
[tex]^{6}P_{2} = 6*5=30[/tex]
The number of ways of arranging 2 letters from the word S Q U A R E is given by A = 15 ways
What are Combinations?The number of ways of selecting r objects from n unlike objects is given by combinations
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the number of ways of arranging 2 letters from the word S Q U A R E be represented as A
Now , to select 2 letters from the 6 letters in the word SQUARE, without regard to order.
This is a combination problem, since the order in which we select the letters does not matter. Therefore, we can use the formula:
6 C 2 = 6! / 2!(6 - 2)!
= 6 x 5 / (2 x 1) x (4 x 3 / (2 x 1))
= 15
Hence , there are 15 ways to arrange 2 letters from the word SQUARE
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In the diagram below, R is located at (24,0), N is located at (12,18), T is located at (12,6), and E is located at (18,15). Assume that N,K,T,E,I, and B are midpoints. Complete the following table. Vertices S K I B A Coordinates
The midpoint of a segment divides the segment into equal halves
The coordinates of K are: [tex]\mathbf{K = (12,12)}[/tex]The coordinates of I are: [tex]\mathbf{I = (24,24)}[/tex]The coordinates of B are: [tex]\mathbf{B = ( 30,33 )}[/tex]The given parameters are:
[tex]\mathbf{R =(24,0)}[/tex]
[tex]\mathbf{N =(12,18)}[/tex]
[tex]\mathbf{T =(12,6)}[/tex]
[tex]\mathbf{E =(18,15)}[/tex]
K is the midpoint of N and T.
So, we have:
[tex]\mathbf{K = (\frac{N_x + T_x}{2},\frac{N_y + T_y}{2})}[/tex]
This gives
[tex]\mathbf{K = (\frac{12 + 12}{2},\frac{18+ 6}{2})}[/tex]
[tex]\mathbf{K = (12,12)}[/tex]
E is the midpoint of T and I.
So, we have:
[tex]\mathbf{E = (\frac{I_x + T_x}{2},\frac{I_y + T_y}{2})}[/tex]
This gives
[tex]\mathbf{(18,15) = (\frac{I_x + 12}{2},\frac{I_y+ 6}{2})}[/tex]
Multiply through by 2
[tex]\mathbf{(36,30) = (I_x + 12,I_y+ 6)}[/tex]
By comparison
[tex]\mathbf{I_x + 12 = 36.\ I_y + 6 =30}[/tex]
So, we have:
[tex]\mathbf{I_x= 24.\ I_y =24}[/tex]
Hence, the coordinates of I are:
[tex]\mathbf{I = (24,24)}[/tex]
I is the midpoint of E and B.
So, we have:
[tex]\mathbf{I = (\frac{E_x + B_x}{2},\frac{E_y + B_y}{2})}[/tex]
This gives
[tex]\mathbf{(24,24) = (\frac{18 + B_x}{2},\frac{15 + B_y}{2})}[/tex]
Multiply through by 2
[tex]\mathbf{(48,48) = (18 + B_x,15 + B_y)}[/tex]
By comparison
[tex]\mathbf{18 + B_x = 48,\ 15 + B_y = 48 }[/tex]
So, we have:
[tex]\mathbf{B_x = 30,\ B_y = 33 }[/tex]
Hence, the coordinates of B are:
[tex]\mathbf{B = ( 30,33 )}[/tex]
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