The result of making the required variable the subject in both equation are :
p = w - cgh = - (m - r - 4d)Making p the subject in w = p + cg :
w = p + cg
Subtract cg from bith sides
w - cg = p + cg - cg
p = w - cg
2.)
Make h the subject m = r - h + 4d
m = r - h + 4d
Subtract r from both sides
m - r = r - h + 4d - r
m - r = - h + 4d
Subtract 4d from both sides
m - r - 4d = - h
Divide both sides by - 1
h = - (m - r - 4d)
Learn more : https://brainly.com/question/18796573
Which of the following does not represent a function?
Answer:
D or last oneStep-by-step explanation:
Verify the graphs by the vertical line test.
If a vertical line crosses the graph at two or more points, then it is not a function.
We can see the first 3 graphs pass the test but the last one fails.
So the last graph (bottom right picture) doesn't represent a function.
Solve the quadratic equation numerically (using tables of x- and y-values).
x2 + 9x + 18 = 0
a. x = 6 or x = 2
c. x = -6 or x = -3
b. x = 6 or x = -3
d. X = 6 or x = -1
Answer:
Third Option: [tex]x=6[/tex] or [tex]x=-3[/tex]
Step-by-step explanation:
[tex]x^2+9x+18=0[/tex]
[tex](x+6)(x+3)=0[/tex]
[tex]x=6[/tex] or [tex]x=-3[/tex]
Evaluate the infinite series:
[tex] \displaystyle \large{ \sum_{n = 1}^{ \infty} \frac{1}{(n + 1) \sqrt{n} + n \sqrt{n + 1} } }[/tex]
Please show your work too — thanks!
9514 1404 393
Answer:
sum = 1
Step-by-step explanation:
The method of partial sums has you look at sums of various numbers of terms of the series to see if there is a pattern that suggests either divergence or a limit. Here, the partial sums suggest the series sum is 1.
__
In the attachment, we have computed sums of 1 term, 10 terms, 100 terms, and so on up to 10^8 terms. These sums seem to approach the value 1.
Individual terms get small faster than for a harmonic series, which his known not to converge, but more slowly than a quadratic series. Large numbered terms are approximately proportional to n^-(3/2).
_____
You can actually compute the sum exactly, without reference to partial sums. Each term of the sum can be rewritten as ...
[tex]\dfrac{1}{(n+1)\sqrt{n}+n\sqrt{n+1}}=\dfrac{1}{\sqrt{n(n+1)}(\sqrt{n+1}+\sqrt{n})}\\\\=\dfrac{\sqrt{n+1}-\sqrt{n}}{\sqrt{n(n+1)}}=\dfrac{1}{\sqrt{n}}-\dfrac{1}{\sqrt{n+1}}[/tex]
Then successive terms will cancel the intermediate fractions. So, for example, the sum of the first 3 terms is ...
(1/√1 -1/√2) +(1/√2 -1/√3) +(1/√3 -1/√4) = 1 -1/√4
This means the given sum will evaluate to ...
1 -1/√∞ = 1 -0 = 1 . . . sum of the infinite series
A store sells bandanas for $2 each and combs for $1. Shelby buys 3 bandanas and a comb. Kendra buys 2 bandanas and 4 combs. Lucy has a "buy one get one half off" coupon, she plans on buying 4 bandanas. Find the total amount spent.
Answer:
the total cost is $21
Step-by-step explanation:
Shelby:
3 bandanas, 1 comb
3 × 2 + 1× 1
6+1= 7
kendra:
2 bandanas, 4 combs
2×2 + 4×1
4+4
=8
Lucy
4 bandanas
4×2=
8
since she has a buy 1 get 1 half off coupon
she pays full price for 2 hence 2×2= 4
half price for 2 hence 2×1 = 2
thus 4+2=6
total price= 7+8+6
= 21 dollars
The formula to convert Celsius to Fahrenheit is F=57,C+32. If
the temperature is 92 degrees Fahrenheit. What is the
temperature in Celsius?
Answer:
the value of Celsius temperature is 100
o
when Fahrenheit temperature is 212
o
.
Step-by-step explanation:
This image may be the result of the
1. Construction for copying line AB
2. Construction of a line parallel to line AB through point P
3. Construction of a line perpendicular to line AB and line PU.
4. Construction of a line perpendicular to the line AB through point P
If mZRQS is 750, then mZTPU is
1. 15
2. 75
3. 105
4.150
due to my knowledge its 75 because it is.
Step-by-step explanation:
first I thought the angles at Q and P are right angles (90 degrees). but the last part tells me they are not.
so, all the "perpendicular" answers are out.
answer 1 and 2 are all correct but I would pick 2, because it had the most detail that's true.
and since these 2 lines are parallel, the must have the same angles with the crossing line.
therefore, when the angle RQS is 75 degrees, then the angle TPU is also 75 degrees.
x- intercept? explanation please
Answer:
x-intercept = 2
Step-by-step explanation:
Sum = 3
Product = -10
Factors = 5 , (-2) {5*(-2) = -10 & 5 +(-2) = 3)
Rewrite the middle term using the factors: 3x = 5x - 2x
x² + 3x - 10 = x² + 5x - 2x - 10
=x(x + 5) - 2(x + 5)
= (x +5)(x - 2)
x² + 8x +15 = x² + 3x + 5x + 15
= x(x + 3) + 5(x + 3)
= (x + 3)(x + 5)
[tex]f(x) =\dfrac{x^{2}+3x -10}{x^{2}+8x + 15}\\\\=\dfrac{(x+5)(x -2)}{(x+5)(x+3)}\\\\=\dfrac{x-2}{x+3)}[/tex]
At x-intercept, y = o
[tex]\dfrac{x -2}{x + 3}=0\\[/tex]
x - 2 = 0
x = 2
Work out m and c for the line:
Y = 2x – 1
m =
C =
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The values are :
[tex] m = 2[/tex][tex]c = - 1[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
The equation of the given line is :
[tex]y = 2x - 1[/tex]aand general equation of a line is :
[tex]y = mx + c[/tex]where,
m = slope of the line c = y - intercept of the linenow, by equating both the equations we get :
[tex]m = 2[/tex][tex]c = - 1[/tex]A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 55 per foot and the fence for the other two sides will cost 45 per foot. The farmer has a total of 1650 dollars to spend on the project. Find the dimensions for the yard that will have the largest possible area.
Answer:
55 divided by 45= 1.222222222222 1650 divided by 1.222222= anserw
Step-by-step explanation:
HELP!
Find f(-1) for f(x) = -3x + 2x”.
Answer:
f(-1) = 1
Step-by-step explanation:
f(-1) just means you plug -1 into the equation:
-3x + 2x
-3(-1) + 2(-1)
3 - 2
1
Hopefully this helps!
Brainliest please?
Holly is displaying a postcard collection on a bulletin board that is 35 3/4 inches wide. Each postcard is 5 7/8 inches wide. Holly estimates that the number of postcards she can display in each row is 7. Is this the best estimate Explain
100 POINTS AND BRAINLIEST
Answer:
Yes.
Step-by-step explanation:
By looking at the numbers of 35 3/4 inches and 5 7/8 inches, you already know that 35 ÷ 5 is 7. Holly might need extra space in between the postcards, which is perfect since she has the leftover fractions, that equal more than 1.
-kiniwih426
Length of board=35 3/4=143/4in
Length of postcard=5 7/8=47/8in
Total postcards
. [tex]\\ \sf\longmapsto \dfrac{143}{8}\div \dfrac{47}{8}[/tex]
[tex]\\ \sf\longmapsto \dfrac{143}{8}\times \dfrac{8}{47}[/tex]
[tex]\\ \sf\longmapsto \dfrac{143}{47}[/tex]
[tex]\\ \sf\longmapsto 3(Approx)[/tex]
No not best estimated option
1. How has the cost of a movie ticket changed over the last 30 years? What has been the general trend? How can you tell this from the graph? (2 points)
2. What years did the cost of movie ticket decrease compared to the year before? How can you tell from the graph when the price is decreasing? (2 points)
Student Name:
Predicting Movie Ticket Costs Activity
3. There was a time where the cost of a movie ticket stayed relatively the same over several years. For what years did the cost stay relatively the same? How can you tell this from the graph? (2 points)
4. The graph could be divided up into three different periods of relatively consistent ticket price change: The years 1980 – 1988, 1989 – 1993 and 1994 – 2011. Can you find a typical rate of change in the price of a ticket for each of these time periods? In other words, on average, by how much did the price of a ticket increase by each year during each of these time periods? (2 points)
5. Predict the cost of a ticket in 2012 – 2015. Plot your predictions and give your actual predictions for each year below. How did you determine how much a ticket would cost each year? (2 points)
6. What might have been the cost of a ticket during the years 1975 – 1979? Plot your estimates on the grid and give your actual predictions for each year below. How did you determine how much a ticket would cost each year? (2 points)
Student Name:
Predicting Movie Ticket Costs Activity
7. Find a line of best fit to represent the data. Let y = ticket price and x = the number of years since 1980 (1980 is year zero, 1981 is year one). Approximate a line to represent the data, a slope, a y- intercept and equation that models your line of best fit. (2 points)
8. Use your equation (or graph or a table) to predict the cost of a movie ticket in the years 2020 and 2030. Be sure to show how you came to each answer. (2 points)
Answer:
1. For most of the 1990s, tickets sold for an average of less than $5 apiece, and dating back to the 1960s, many Americans could go to the movies for less than a buck. 24/7 Wall St. reviewed data from the National Association of Theatre Owners to determine the cost of a movie ticket the year you were born. A full-price AMC ticket is averages $10.50 nationwide, reflecting a 50-cent increase. Concession prices also increased.
Your asking alot for 50 points so i did 1..
Step-by-step explanation:
LAST 1 I SWEARRRR !!
Answer:
100 i believe
Step-by-step explanation:
I guess subtract 45 from 145
Answer:
80 look at the angels it 80! i had the same exact test today
Step-by-step explanation:
Question number seven.
Answer:
A
Step-by-step explanation:
you divided everything in blankets 3 /-3 is equal to zero
Which number is a reasonable estimate for the sum of the equation 4,619 + 288 = ________? Round the first addend to the nearest thousand and the second addend to the nearest hundred.
4,200
4,300
5,200
5,300
Answer:
5300
Step-by-step explanation:
Round 4619 up to 5000.
Round 288 up to 300.
Add them together!
Jim says that the square root of 200 is between 14 and 15. Do you think that is reasonable? Without using a calculator, can you help him make a more precise estimate?
Answer:
the answer is 14.14
Step-by-step explanation:
If x-1/x=3, find the value of x^2+1/x^2
please show steps too…
Answer:
5
Step-by-step explanation:
x=-1/2
A reason improper use of netiquette can be risky is that users can
O become vulnerable to online harassment.
O access inappropriate websites.
O have their private information stolen.
O receive unwanted spam.
The answer is A, Sorry I am late but for the future people i hope this helps them :))
- Have a nice day.
The improper use of netiquette can be risky as the user can become vulnerable to online harassment.
What is cybersecurity?Protecting the online data from the digital attacks initiated by a hacker is called cybersecurity. Cybersecurity is necessary to protect the various systems, networks and programs that may contain some confidential information about any person.
Given is to identify the reason why the improper use of netiquette can be risky.
The improper use of netiquette can be risky as the user can become vulnerable to online harassment.
Therefore, the improper use of netiquette can be risky as the user can become vulnerable to online harassment.
To solve more questions on cybersecurity, visit the link-
https://brainly.com/question/27560386
#SPJ7
identify an equation in point-slope form for the line perpendicular to y= 4x - 9 that passes through (-5, 3)
Hello there!
The slopes of perpendicular lines are opposite reciprocals. It means we take the slope of the given line, flop it over and make it negative.
And then just plug in the points:
y-y1=m(x-x1)
y-3=-1/4x-(-5)
y-3=-1/4x+5
Hope this helps!
~Just a joyous teen
[tex]GraceRosalia[/tex]
Jasmine surveyed the people at a local playground. She found that 33 out of 55 people brought water bottles. On Wednesday, Jasmine returns to the park and finds that 1212 people brought water bottles. About how many people do you expect were at the park on Wednesday? Enter the number of people at the park on Wednesday.
Answer:
2,020 people were at the park.
Step-by-step explanation:
33/55 = 1212/x
(1212 * 55)/33 = 2,020
After John worked at a job for 10 years, his salary doubled. If he started at $x, his salary after 10 years is
Oslo
2
$x + 2
$x-2
$2x
Answer:
$2x
Step-by-step explanation:
His salary doubled (x2), so you can eliminate B & C because they are + & -. You can eliminate A because that would represent his current salary. So, that leaves $2x.
Sarah has 86% in science, 72% in English, 93% in World Studies,87% in french,93% in music, 100% in health and 80% in math. What is her average? How does her English grade affect this average? What should she do to bring her average higher?
Average: about 87%
Her english grade affects her average because it is the lowest out of all of the grades which brought her average grade down.
not sure about this: To bring her average higher, she should probably try more in english or study. (not sure about this one)
Step by Step:
Add up all of her scores:
86 + 72 + 93 + 87 + 93 + 100 + 80
it equals 611
Since we added up 7 scores, we divide 611 by 7
611 divided by 7 is 87.285...
So her average is about 87%
WILL MARK BRAINLIEST
Answer:
26
Step-by-step explanation:
3³ is basically 3×3×3 which equals to 27
1² is 1×1 which obviously is 1 lol
so,
27 - 1
= 26
Answer: 3*3*3 - 1*1 = 26
Step-by-step explanation:
Find the missing angle measure.
Can someone tell me the answer to this please
Answer:
sum of all angles of a triangle= 180°
Let angle A be x,
then 63°+90°+x=180°
x=17°
Which point is the vertex?
C
B
A
None of the above
Answer:
B
Step-by-step explanation:
Hope this helps you out! :)
*Add 6 to the difference between 9 and 7*
Answer:
(9-7)+6
2+6
8...........
Answer:8
Step-by-step explanation:9-7=2. 2+6=8
HELP THIS IS DUE TOMORROW
Answer:
f it not possible to prove the triangle are conqrugent.
Answer:
D
Step-by-step explanation:
AAS
∠A = ∠D Given
∠B = ∠C Given
BC = CB Reflexive property
ΔABC ≅ ΔDCB AAS Congruent
What is the value of 12+2(12-9)power 2 WITH CALCULATIONS
Answer:
30
Step-by-step explanation:
I don't know how to explain it sorry but can I still get brainliest please
Answer:
30
Step-by-step explanation:
1) Simplify 12 - 9 to 3.
12 + 2 × 3²
2) Simplify 3² to 9.
12 + 2 × 9
3) Simplify 2 × 9 to 18.
12 + 18
4) Simplify.
30
(6d+5)−(2−3d) find the difference
Answer:
9d+7
Step-by-step explanation:
when you subtract you 'add the opposite' so we can rewrite this subtraction problem as an addition problem as follows:
6d + 5 + 2 + 3d
combine 'like' terms to get:
9d + 7
Answer:
3d + 3
Step-by-step explanation:
HELP! NOW!
During a sale at a store, sweaters are being sold at a 65% discount. Let x represent the discount on sweaters. The shirts have the same discount as the sweaters. Let y represent the discount on shirts. The pants do not have the same discount as sweaters. Let z represent the discount on pants. Which statement is true? A. x ≠ y B. x = y C. z = x D. y = z
Answer:
B. x = y
Step-by-step explanation:
Since sweaters discount (x) and shirt discount (y) are the same like we are told, then they are equal.