Answer:
3 is not in the domain of [tex]f\circ g[/tex].
Step-by-step explanation:
The given functions are
[tex]f(x)=\sqrt{x+5}[/tex]
[tex]g(x)=-4x+4[/tex]
We need to check whether 3 is in the domain of [tex]f\circ g[/tex] or not.
[tex]f\circ g=f(g(x))[/tex]
[tex]f\circ g=f(-4x+4)[/tex] [tex][\because g(x)=-4x+4][/tex]
[tex]f\circ g=\sqrt{(-4x+4)+5}[/tex] [tex][\because f(x)=\sqrt{x+5}][/tex]
[tex]f\circ g=\sqrt{-4x+9}[/tex]
This function is defined if
[tex]-4x+9\geq 0[/tex]
[tex]9\geq 4x[/tex]
[tex]\dfrac{9}{4}\geq x[/tex]
It means domain of the function [tex]f\circ g[/tex] is [tex](-\infty,\dfrac{9}{4}][/tex].
[tex]3\notin (-\infty,\dfrac{9}{4}][/tex]
Therefore, 3 is not in the domain of [tex]f\circ g[/tex].
Divide. Simplify(or reduce) 32 dived by seven eights
Answer:
32 divided by 7/8 is 36 and 4/7
Step-by-step explanation:
Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.
Which equation, when solved, results in a different value of x than the other three? WILL GIVE BRAINLYYYYYYYYYY ASAPSAPPP PLEASE
Answer:
the last one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
**true or false**
all functions are relations but not all relations are functions
explain
Answer:
This is true
Step-by-step explanation:
because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function
Write the following Arithmetic Sequence using a Recursive Formula: an = -8 + 2(n - 1)
a. a1 = 2, an = an+1 - 8
b. a1 = -8, an = an+1 + 2
c. a1 = 2, an = an-1 - 8
d. a1 = -8, an = an-1 + 2
Answer:
d) a1 = -8, an = an-1 + 2
Step-by-step explanation:
The formule is:
an = a1 + r*(n - 1)
So:
an = -8 + 2(n - 1)
a1 + r*(n - 1) = -8 + 2(n - 1)
⇒ a1 = - 8 ∧ r = 2
Finally:
r = an - an-1
an = 2 + an-1
The arithmetic sequence using a Recursive Formula is defined as
aₙ = a₍ₙ₋₁₎+2
What is the Recursive Formula?A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.
Given that, Arithmetic Sequence defined by a Recursive Formula:
aₙ = -8 + 2(n - 1)......(i)
The explicit formula of an AP is
aₙ = a₁ + (n-1)d
Comparing the equations, we get,
a₁ = -8 and d = 2
Now, the recursive formula of an AP is
aₙ = a₍ₙ₋₁₎ +d
Put d = 2,
aₙ = a₍ₙ₋₁₎ +2
Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2
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Which type of insurance coverage do employers typically provide to their employees?
A.automobile insurance
B. disability insurance
C. homeowners insurance
D. "pet insurance
Disability insurance is generally provided by the employers to the employee
What is an Insurance Coverage ?Insurance coverage refers to the amount of risk or liability that is covered for an individual or entity by way of insurance services.
Generally the employers provide Disability insurance to their employees .
An employee working in a steel manufacturing plant near a blast furnace has chances to get disable by some accident and thus the company provides Disability insurance .
A railway employee is given a Disability insurance cover and many other normal companies also provide Disability insurance.
Hence Option B Disability insurance is the correct answer.
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Fred the ant is on the real number line, and Fred is trying to get to the point 0. If Fred is at 1, then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2, then on the next step, Fred always moves to 1. Let e_1 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 1. Similarly, let e_2 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 2. Determine the ordered pair (e_1,e_2). Answer is NOT (2, 3)
Answer:
The ordered pair (e₁, e₂) is (6, 8).
Step-by-step explanation:
Consider the pathway attached below.
Consider that Fred is at 1.It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.
e₁ : 1 3 5 7 ...
P (e₁) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 1 is:
[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]
The sum series e₁ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₁ is:
[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]
Consider that Fred is at 2.It is provided that Fred always moves to 1 if he at step 2.
e₂ : 2 4 6 8 ...
P (e₂) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 2 is:
[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]
The sum series e₂ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₂ is:
[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]
Thus, the ordered pair (e₁, e₂) is (6, 8).
Answer:
(3, 4)
Step-by-step explanation:
For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.
[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]
This equation eventually equals to 3, so e_1 is equal to 3.
For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.
For k(x)= (-x- 1)(x^2 + 3x - 1)(x+2), find the derivative of k(x) at the point = -2 using the product rule.
Answer:
The derivative of that product of functions evaluated at the point x=-2 gives "-3"
Step-by-step explanation:
Recall that the derivative of a product of two functions f(x) and g(x) is given by the formula:
(f*g)'= f' * g+ f * g'[tex](2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)=[/tex]
So it would be convenient to reduce this product of three functions to a product of just 2, performing (-x-1)*(x+2) = - x^2 - 2x - x -2 = - x^2 -3x -2
therefore we need to find the derivative of x^2 + 3x -1, and the derivative of - x^2 -3x -2 to obtain the answer:
[tex](x^2 + 3x -1)'=2x+3\\ \\(- x^2- 3x -2)'=-2x-3[/tex]
Now, applying the product rule for those two trinomial functions, we get:
[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)[/tex]
which at x = -2 becomes:
[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)\\(2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)= -3[/tex]
Which of the following is the appropriate notation when calculating
conditional probabilities?
P(
AB)
A. P(
AB) =
P(A)
o
B. P(AUB) = P(A) + P(B) - P(AB)
C. P(AB) =
P(
AB)
P(B)
D. P(
AB) = PC
PCB+ P(B) - P(AUD)
SUBMIT
PREVIOUS
Answer: P(AB) = 3/8
Step-by-step explanation:
You simply multiply P(AuB) by P(B)
3/7 * 7/8 = 3/8
−5+(−5r)+10 answer plz
Answer:
-5r + 5
Step-by-step explanation:
We simply simplify by adding like terms. Only thing we can combine are the constants -5 and 10, which we get 5. So then our answer is -5r + 5.
Answer:
5(1-r)
Simplified expression 5-5r
Step-by-step explanation:
Bryan plans to save the same amount of money for 5 weeks. He wants to buy a new sweatshirt for $95 and a beanie for $30. How much money should he save each week to buy both items?
Answer:
$25
Step-by-step explanation:
95+30= 125
125/5= 25
In your own words, explain HOW to find the standard deviation of this data set. (20 points). What does the standard deviation tell you about this data? (20 points). Dr. Cwetna recorded all of the grades on a unit test on the chart below. plz somebody help I need this by today.
I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ
Answer:
see below
Step-by-step explanation:
mROP= 125°
mSOQ= mROP= 125°
mROQ=mPOS= 180°-125°= 55°
Sum of measures of all arcs in the circle= 2π
mRP= mQS=2π*125/360=25/36π
mQR=mPS=2π*55/360=11/36π
mPRQ= half circle= 2π/2= π
mRPQ= 2π-mQR= 2π- 11/36π= 61/36π
A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back and
front pockets. Suppose a pair of jeans is selected at random and it is determined that it has front pockets. What is the
probability that a randomly selected pair of jeans with front pockets also has back pockets?
0.52
0.60
0.74
0.81
Answer:
.52
Step-by-step explanation:
its only a little bit over a 50% chance to get a front pocketed jean, then to also have back pockets is under 50% chance so when you even those it comes to .52
Answer:
.74
Step-by-step explanation:
On edge
Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?
Answer:
1 g/cm³
Step-by-step explanation:
Volume of the model:
V=1/3bh= 1/3*100*6= 300 cm³
Density= weight/volume= 300 g/300 cm³= 1 g/cm³
The lowest density is 1 g/cm³
Answer:
1.5 !
Step-by-step explanation:
oh khan academy :))
What is being constructed based on the markings in the following diagram?
-Inscribed regular hexagon
-Inscribed equilateral triangle
-Parallel lines
-Perpendicular lines
Parallel lines are being constructed based on the markings in the following diagram.
What are parallel lines?When two lines never meet each other even after extending them on the either side are called parallel lines.
What are the steps to draw parallel lines?1. First we have to draw a straight line and then any point of it draw any angle.
2. After that, on the second line take a point. Copy the first angle on it.
3. Draw the line to complete the copied angle and there you have parallel lines.
Hence, the construction indicated in the diagram is of parallel lines.
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Ronnie surveyed students to find out which school sport they participated in. Below are the results from the first ten people he surveyed. Which type of graph best displays the data? A. circle graph B. line graph C. histogram D. Venn diagram
Answer: you need to have a line graph
stay safe
Answer:
Step-by-step explanation:
its a
Last week Fred had 47 dollars. He washed cars over the weekend and
now has 50 dollars. How much money did he make washing cars?
Answer:
fred made 3 dollars
Step-by-step explanation:
47+3=50
The function h = -16t + 240t represents the height h (in feet) of a rocket t seconds after it is launched. The rocket explodes at its highest point. after how many seconds does the rocket explode
The height of the rocket at time t is given by the function h = -16t + 240t. The rocket explodes at its highest point, which occurs at the vertex of the parabolic path described by this function.
The vertex of the parabola h = -16t^2 + 240t can be found using the formula t = -b/2a, where a is the coefficient of the squared term (-16 in this case) and b is the coefficient of the linear term (240 in this case).
In this case, a = -16 and b = 240, so the time t at which the rocket reaches its highest point is:
t = -b / 2a
t = -240 / (2 * -16)
t = -240 / -32
t = 7.5
Therefore, the rocket reaches its highest point 7.5 seconds after it is launched, and it explodes at this point.
Note that the negative value for t obtained in the equation t = -b/2a is ignored in this case, since time cannot be negative.
PLEASE HELP!!!!!
Which of the following similarity statements is formatted
correctly?
Triangle MNO = PQR
Triangle MNO ~ PQR
Triangle MNO = Triangle PQR
Triangle MNO ~
Triangle PQR
Answer:
option c is the correct ans as there is given similar sign with two triangle.
I tried to do this but it makes it wrong :,(
Answer:
177.8cm
tell me if it's right :)
Step-by-step explanation:
Which must be true?
Answer:
PSC=PTC
They are the same angle
Which graph represents the solution to this system of inequalities? y 2x – 4 A. B. C. D.
Answer:
I mean you dont got no graph
Step-by-step explanation:
butttttt.....
The graph wit a straight line that intersects the y-axis at -4 and goes up by 2 and to tha right by 1.
Answer:
Theres no graph
Step-by-step explanation:
SOMEONE PLEASE HELP!!!!!!!!!
Solve 2 x - 1 < 7 and 5x + 3 < 3.
A. {x l x < 0}
B. {x l x < 4}
C. {x l 0 < x < 4}
Answer:
Step-by-step explanation:
2x - 1 < 7
Add 1 to both sides
2x - 1 + 1 < 7+1
2x < 8
Divide both sides by 2
2x/2 < 8/2
x < 4
5x + 3 < 3
Subtract 3 form both sides
5x + 3 - 3 < 3-3
5x < 0
x < 0
x <4 & x < 0
So, solution ,
{x / x< 0 }
Answer:
A. {x l x < 0}
Step-by-step explanation:
2 x - 1 < 7 and 5x + 3 < 3.
Solve one inequality at a time
2 x - 1 < 7
Add 1 to each side
2 x - 1+1 < 7 +1
2x <8
Divide by 2
2x/2 <8/4
x <4
Now solve the other
5x + 3 < 3
Subtract 3
5x +3-3 < 3-3
5x<0
x <0
Recombine
x<4 and x<0
We go with the more restrictive and merge the overlapping interval since we have an and
x<0
Express 3*(4*5) as a common fraction given a*b= ab/a+b .
Answer:3 ⋅ ( 4 ⋅ 5 ) = 23 a ⋅ b = a ( b a ) + b = a = 2
Step-by-step explanation:
The common fraction for the given expression is 60/47.
What is a fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given that an expression, 3*(4*5) such that, a*b= ab/a+b
Solving the expression as per the given formula,
4*5 = 4×5/(4+5) = 20/9
Now,
3*(4*5) can be written as, 3*20/9
Therefore,
3*20/9 = 3×20/9/(3+20/9)
= 20/3×9/47
= 60/47
Hence, the common fraction for the given expression is 60/47.
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In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horizontal, what are the coordinates of point C? A. (2, -1) B. (5, -3) C. (2, -3) D. (7, -1)
Answer:
A.
[tex]Point\ C = (2,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (2,-6)[/tex]
[tex]B = (10,2)[/tex]
[tex]m:n = 5:3[/tex]
Required
Determine the coordinates of C
Since, point D divides line AB in ratio, 5 : 3;
We start by calculating the coordinates of D;
This is done as follows;
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where
[tex](x_1,y_1) = (2,6)[/tex]
[tex](x_2,y_2) = (10,2)[/tex]
[tex]m:n = 5:3[/tex]
[tex]D(x,y) = (\frac{5 * 10 + 3 * 2}{5+3},\frac{5 * 2 + 3 * -6}{5+3})[/tex]
[tex]D(x,y) = (\frac{50 + 6}{8},\frac{10 - 18}{8})[/tex]
[tex]D(x,y) = (\frac{56}{8},\frac{-8}{8})[/tex]
[tex]D(x,y) = (7},-1)[/tex]
Since AC is vertical
Then, Point C has the same x coordinate as A
[tex]x-coordinate = 2[/tex]
Similarly;
Since CD is horizontal
Then, Point C has the same y coordinate as D
[tex]y-coordinate = -1[/tex]
Hence,
[tex]Point\ C = (2,-1)[/tex]
Answer:
Option A
Step-by-step explanation:
A. (2, -1)
In the proportion 15/3 = v/7 , which number is equal to y in the proportion ?
Answer:
3
Step-by-step explanation:
Answer:
y=3
Step-by-step explanation:
If Max is opening a bank account and he deposits $1500 and it has compound interest at a 9%, how much money will he have 8 years if the interest compounds semi-annually?
Answer:
$3,033.56
Step-by-step explanation:
(see attached for reference)
The formula for compound interest is given by
A = P [ 1 + (r/n) ]^(nt)
Where,
A = final amount (we are asked to find this)
P = principal = given as $1500
r = annual interest rate = 9% = 0.09
n = 2 (for compounding semi-annually)
t = time, given as 8 years
Substituting the above into the equation:
A = P [ 1 + (r/n) ]^(nt)
A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]
A = 1500 [ 1.045) ]^[16]
A = $3,033.56
Answer ASAP PLEASE WILL MARK BRAINLIEST
Answer:
Answer should be A
Step-by-step explanation:
-7/2 divided by 49/4
Change in temperature per hour would be found by dividing the change in temperature by the amount of time.
Rewrite the numbers as improper fractions and the answer would be d.
-49/4 / 7/2
A parent needs up to twelve students for a game. He needs no fewer than five male students.
Let x represent the number of female students and y represent the number of male students.
Select all inequalities that model this situation.
Answer:
you need more than or equeall to 5 male students. For girls u need less than or equeall to 7 female students.
Tell me in your own words: How well do you understand RATE?
Answer:
a measure, quanity or frequency typically one measured against another quantity or measure.
Step-by-step explanation:
i have written in my own words so i would love to be the brainliest i never got one before and i have only 20 points so thank you so much for making me the brainliest if you did so i love u.
Answer:
I do indeed understand rates in math.
Step-by-step explanation:
If you didn't understand what a rate is, a rate is known as a special ratio in which the two terms are in different units.