Answer:
y = mx + b
Step-by-step explanation:
This is the basic equation for a line where m is the slope and b is the y intercept.
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.)
f(x) = 7/1+x a=2
If f(x) = 7/(1 + x), then
f (2) = 7/3
f '(x) = -7/(x + 1)² ==> f ' (2) = -7/9
f ''(x) = 14/(x + 1)³ ==> f '' (2) = 14/27
f '''(x) = -42/(x + 1)⁴ ==> f ''' (2) = -14/27
Then the Taylor series of f(x) about a = 2 is
7/3 + 1/1! (-7/9) (x - 2) + 1/2! (14/27) (x - 2)² + 1/3! (-14/27) (x - 2)³
= 7/3 - 7/9 (x - 2) + 7/27 (x - 2)² - 7/81 (x - 2)³
What sign will the quotient of a negative integer divided by a positive integer have?
Answer:
When you divide a negative number by a positive number then the quotient is negative. When you divide a positive number by a negative number then the quotient is also negative.
Answer: Negative ( - )
Step-by-step explanation:
When you divide a Negative integer by a positive integer then the quotient will be negative.
For example
= - 10 ÷ (+2)
= -5
Answered by Gauthmath must click thanks and mark brainliest
Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 20 more adult tickets than student tickets
to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets
Answer:
A= 80
Step-by-step explanation:
I'm not good at explaining my work. I sometimes can look at the problem and find the answer in 2 seconds.
Mark jogs 10 miles in 2 hours.
Come up with a ratio that shows the distance in miles to the time taken in hours. Simplify your ratio if needed
I needsddd helpppp pleaseeeeee
Answer:
5 miles / hour
Step-by-step explanation:
it is really simple :
10 miles
2 hours
=>
10 miles / 2 hours
or simplified
5 miles / hour
A certain baseball team has 23 players. Only nine can be on the field at a time. Each of the nine players on the field has a distinct field position: pitcher, catcher, first baseman, second baseman, third baseman, short stop, left field, right field, or center field. Assume for the moment that every player is qualified to play every position.
Required:
How many ways are there to fill either the pitcher or catcher field position (but not both) from among the 23 players (leaving the other field positions empty)?
Answer:
[tex]P \& C _{ways}=46ways[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=23[/tex]
Generally the pitcher or catcher field position can be filled in
23 way respectively
Where
No. ways for to fill Pitcher
[tex]P_{ways}=23 ways[/tex]
No. ways for to fill Catcher
[tex]C_{ways}=23 ways[/tex]
Therefore
Applying counting Principles
No. ways to fill both
[tex]P \& C _{ways}=23+23[/tex]
[tex]P \& C _{ways}=46ways[/tex]
Peter is married and has two children. He wants to be sure that he has sufficient life insurance to take care of his family if he dies. Peter’s wife is a homemaker but attends college part-time pursuing a law degree. It will cost approximately $40,000 for her to finish her education. Since the children are teenagers, Peter feels he will only need to provide the family with income for the next 10 years. He further calculates that the household expenses run approximately $35,000 per year. The balance on the home mortgage is $30,000. Peter set up a college fund for his children when they were babies, and it currently contains sufficient funds for them to attend college. Assuming that Peter’s wife can invest the insurance proceeds at 8%, calculate the amount of insurance Peter needs to purchase.
Answer:
$304,853
Step-by-step explanation:
Given:
I - 8
N - 10
PMT - 35,000
FV - 0
solution :
We use the Budget method to estimate the amount of insurance needed
PV of annual expenses
=PV(8%,10,-33100) considering Rate=8%, N=10
PV - ? = $337,501.61
Amount of Insurance to Purchase = $234,853 + $40,000 + $30,000 = $304,853
Find the measure of the missing angles in the regular polygon below.
Step-by-step explanation:
First, we can see that the angles inside the polygon form a full circle, as it goes fully around. Therefore, the sum of the angles around the center of the circle (such as m < 7) is 360 degrees. Since it is a regular polygon, and the lines are going from the center to its corners, the 6 angles directly surrounding the center are equal.
Each angle is therefore 360/6 = 60 degrees, so m<7 is 60 degrees.
For m<8, we can see that a line bisects one of the 6 angles surrounding the center. Therefore, m<8 is 1/2 of the angle it bisects, which is equal to 360/6 = 60 degrees, and m<8 = 60/2 = 30 degrees
Finally, we can see that there are 6 sides of the polygon. For a polygon with n number of sides, the sum of its interior angles is equal to (n-2) * 180. Here, there are 6 sides, so the sum of this polygon's interior angles is (6-2) * 180 = 4 * 180 = 720. Because this is a regular polygon, each interior angle is the same, and because there are 6 of them, each one is 720/6 = 120 degrees. As shown in the picture, m < 9 is seemingly one-half of an interior angle, as it is bisected by a line from the center to a corner.
Therefore, m <9 = 120 /2 = 60 degrees
use elimination to solve the system for 4x + 7 y equals -14 + 8 x + 5 y equals 8 for x
9514 1404 393
Answer:
(x, y) = (3.5, -4)
Step-by-step explanation:
Elimination is easiest if one of the coefficients of a variable is a multiple of the other coefficient of the variable. Here, we have x-coefficients of 4 and 8, so it will be easiest to eliminate x.
Subtract the second equation from 2 times the first.
2(4x +7y) -(8x +5y) = 2(-14) -(8)
9y = -36 . . . . . simplify
y = -4 . . . . . . . divide by 9
4x +7(-4) = -14 . . . . substitute for y in the first equation
4x = 14 . . . . . . . add 28
x = 3.5 . . . . divide by 4
The solution is (x, y) = (3.5, -4).
Which polynomial correctly combines the like terms and puts the given polynomial in standard form? -5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5
Given:
The polynomial is:
[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]
To find:
The simplified form of the given polynomial in standard form.
Solution:
We have,
[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]
Combining the like terms, we get
[tex]=-5x^3y^3+8x^4y^2+(-2x^2y^4+3x^2y^4)+8x^6+(-xy^5-6xy^5)[/tex]
[tex]=-5x^3y^3+8x^4y^2+x^2y^4+8x^6-7xy^5[/tex]
Now, rewrite this polynomial in standard form.
[tex]=8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex]
Therefore, the required polynomial in standard form is [tex]8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex].
What is the median for the set of data?
Ages
Stem Leaves
6 0, 5, 8
7 0, 2, 3, 5, 7, 8, 9
8 0, 2, 3, 4, 5, 6, 8, 9
9 6, 6, 7, 8
6|0 = 60 years old
81
38
96
80
Answer:
96
Step-by-step explanation:
The ferry family rented 50 chairs for $150. Which expression can be used to find the cost per chairs.
Answer:
3$per chair
Step-by-step explanation:
50/150$=3
If 3 x 50=150
Answer:
150/50
Step-by-step explanation:
150 divided by 50 = 3
Hope this helps!
Find the measure of the missing angles. WILL GIVE BRAINLIEST
Rationalize the denominator and simplify
Answer:
x² - √3x / x² - 3
Step-by-step explanation:
To Do :-
To rationalize the denominator .Solution :-
We need to rationalize ,
x/ x + √3Multiply numerator and denominator by x-√3 :-
x( x - √3 ) / ( x +√3)( x -√3) x² - √3x / (x)² - (√3)² x² - √3x / x² - 3How many of 320 million Americans would you predict wear contact lens
Answer:
I think 40 - 60 Million Americans would wear contact lenses.
Write an equation that expresses the following relationship.
u varies directly with the square of p and inversely with d
In your equation, use k as the constant of proportionality.
Given:
u varies directly with the square of p and inversely with d.
To find:
The equation for the given situation.
Solution:
If y is directly proportional to x, then
[tex]y\propto x[/tex]
If y is inversely proportional to x, then
[tex]y\propto \dfrac{1}{x}[/tex]
It is given that u varies directly with the square of p and inversely with d. So,
[tex]u\propto \dfrac{p^2}{d}[/tex]
It can be written as:
[tex]u=k\dfrac{p^2}{d}[/tex]
Where, k is the constant of proportionality.
Therefore, the required equation is [tex]u=\dfrac{kp^2}{d}[/tex].
Please help!! Which two equations are the equations of vertical asymptotes of the function y = 5∕3 tan(3∕4x)?
A) x = 0 and x = 2π∕3
B) x = 4π∕3 and x = –4π∕3
C) x = 0 and x =4π∕3
D) x = 2π∕3 and x = –2π∕3
9514 1404 393
Answer:
D) x = 2π∕3 and x = –2π∕3
Step-by-step explanation:
The tangent function has asymptotes at ±π/2, so the corresponding values of x are ...
(3/4)x = ±π/2
x = (±π/2)(4/3) = ±2π/3 . . . . matches choice D
A quality control inspector has drawn a sample of 18 light bulbs from a recent production lot. If the number of defective bulbs is 1 or more, the lot fails inspection. Suppose 30% of the bulbs in the lot are defective.
Required:
What is the probability that the lot will pass inspection?
Answer:
0.0016 = 0.16% probability that the lot will pass inspection.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Sample of 18 light bulbs
This means that [tex]n = 18[/tex]
30% of the bulbs in the lot are defective.
This means that [tex]p = 0.3[/tex]
What is the probability that the lot will pass inspection?
It will pass inspection if there are no defective bulbs, that is, we have to find P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{18,0}.(0.3)^{0}.(0.7)^{18} = 0.0016[/tex]
0.0016 = 0.16% probability that the lot will pass inspection.
Factor 60y-90-20X to identify the equivalent expressions.
Choose 2 answers:
A) 5(14y−16−4x)
B) 2(30−45−10)
C) 5(12y−18−4x)
D) 10(6y−9−2x)
Please I need help :)
Scatterplots show:
A the frequency of individual test scores.
B causal relationships between two variables.
C two scores represented as individual points on the graph.
D bars representing different variables.
Answer:
B. causal relationships between two variables
Scatterplots show causal relationships between two variables. Option B is correct.
A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).
Here,
Given that, to justify Scatterplots,
Plotting a scattergram using the data points can assist in determining whether they have a probable relationship.
Thus, Scatterplots show causal relationships between two variables. Option B is correct.
Learn more about scatter plots here:
https://brainly.com/question/29231735
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Find the measure of the missing angles.
WILL GIVE BRAINLIEST
Answer:
<d = 90
<e = 46
<f = 134
Step-by-step explanation:
<d = 90 since it forms a straight line with a 90 degree angle
<e = 46 since they are vertical angles and vertical angles are equal
<f = 134 since it is a linear pair with 46 ( they add to 180) f+46 = 180
f = 180-46 f =
[tex]{\footnotesize{\bold{\textbf{\textsf{{\fcolorbox{brown}{gold}{~Brainliest~answer}}}}}}}[/tex]
See this attachment
Your calculator is showing a result of 248.592.
What is this to the nearest whole number?
What is the slope of the line that contains these points? xxx 454545 494949 535353 575757 yyy 101010 555 000 -5−5minus, 5 slope:
Answer:
-5/4
Step-by-step explanation:
Given :
x : 45, 49, 53, 57
y : 10, 5, 0, - 5
The slope of the line :
Slope = Rise / Run
y2 = - 5, y1 = 10
x2 = 57, x1 = 45
Rise = y2 - y1 = - 5 - 10 = - 15
Run = x2 - x1 = 57 - 45 = 12
The slope = Rise / Run = - 15 / 12 = - 5/4
Answer:
-1
Step-by-step explanation:
i brought the answer correct
Liverfluke cause a disease called
Answer:
Fascioliasis
Step-by-step explanation:
Fascioliasis is a parasitic infection typically caused by Fasciola hepatica, which is also known as “the common liver fluke” or “the sheep liver fluke.” A related parasite, Fasciola gigantica, also can infect people.
X^2 + 12x + c is a perfect square trinominal. What is the value of c?
c is 36.
a perfect square trinomial, (x + y)² = x² + 2xy + y²
so, if we have the x of the 12x, what is left is the 12
since we also have the 2 (used for every square trinomial), 12/2 = 6
since c is the squared value, we do 6² = 36
hope it helps :)
Answer:
x2 + 2 (6) + 62 = (x + 6)2 a perfect square. Therefore c = 36
What is the least possible degree of a polynomial that has roots -5, 1 + 4i, and -4i?
3
2
5
4
The least possible degree of polynomial is 2
Please help out really need it !!
Answer:
use the area formula
Step-by-step explanation:
Answer:
rounded to the nearest tenth i think its 40
a yogurt shop offers 7 different flavors of frozen yogurt and 11 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping
answer: 77
Step-by-step explanation:
7×11=77
sorry if I'm wrong
Answer:
fijatebie nl aperguntaa
Step-by-step explanation:
Use the drop-down menus to select answer.
Use the fraction bars and the expression provided to answer the questions.
Answer:
loser you called me a bad word so now I'm taking points
Step-by-step explanation:
46. Five people L, M, n, O and P sit in a row, not necessarily in the same order.
P sits exactly in between Mand n. if Lsits exactly in between Mand O, then
which of the following must be true?
(A) O sits to the immediate right of M.
(B) L and n always sit together.
(C) M sits exactly at the centre of the row.
(D) P sits between Mand L.
caniay Gannat Dhruy. nagrai and Jiyan are
given f(x)=2x-4 and g(x)=x213, determine gf[x]]
Step-by-step explanation:
you have to substitute the function g(x) where there's x in the function f(x)
gf(x)=2(x213)-4
if that's x two thirteen then you can multiply the 2 outside the brackets by it
giving you a final answer of
gf(x)=426x-4
hope it helps and sorry if am wrong
