indirect variation
Verification
[tex]\\ \rm\Rrightarrow s\propto \dfrac{1}{y}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}[/tex]
[tex]\\ \rm\Rrightarrow s_1t_1=s_2t_2[/tex]
2. An electronic watch is sold for Rs 840 at a profit of Rs 90. Find its cost price and the profit per cent.
Answer:
750 CP AND PROFIT%=12%
Step-by-step explanation:
SP=rs 840
profit=90
CP=SP-profit
=840-90
=750
profit %=profit/CP*100%
=90/750*100%
=12%
How do they get Question 3
Answer:
400÷10=40
Step-by-step explanation:
the question asks for you to divide each number in the pattern by 10.
the first number is 400
400÷10=40
then you would do 40÷10=4
then 4÷10=0.4
then 0.4÷10=0.04
so the pattern would be
400 , 40 , 4 , 0.4 , 0.04
hope this helped!
please i need to know
Answer:
the answer is 28
Step-by-step explanation:
PEMDAS:
(8-2) = 6
6^2= 36
36/2= 18
18+10= 28
Answer:
D. 28
PEMDAS:
Parenthesis, exponents, multiplication, division, addition, subtraction
10 + (8 - 2)^2 / 2
1. Parenthesis comes first so we're left with
10 + (6)^2 / 2
2. Then we do the exponents
10 + 36 / 2
3. Then it's division
10 + 18
4. Finally we add
28
Two major league players got a total of 226 hits. Washington had 18 more hits than Sanchez. Find the number of hits for each player.
Answer:
Washington had 115 hits and Sanchez had 111 hits.
Step-by-step explanation:
2s + 4 = 226
2s = 222
s = 111
s + 4 = 115
I need some help with the homework problem. I have a list of formulas, but can't seem to get it done.
[tex]\int\frac{9}{\sqrt{1+e^{2x}}} \, dx[/tex]
I started by taking the constant out and setting u = [tex]\sqrt{1+e^{2x\\}}[/tex]
After this I can't seem to progress.
After setting [tex]u=\sqrt{1+e^{2x}}[/tex], partially solving for x in terms of u gives
[tex]u = sqrt{1+e^{2x}} \implies u^2 = 1 + e^{2x} \implies e^{2x} = u^2 - 1[/tex]
Then taking differentials, you get
[tex]2 e^{2x} \,\mathrm dx = 2u \, \mathrm du \implies \mathrm dx = \dfrac{u}{u^2-1}\,\mathrm du[/tex]
Replacing everything in the original integral then gives
[tex]\displaystyle \int \frac9{\sqrt{1+e^{2x}}}\,\mathrm dx = \int \frac9u \times \frac u{u^2-1}\,\mathrm du = 9 \int \frac{\mathrm du}{u^2-1}[/tex]
Split up the integrand into partial fractions:
[tex]\dfrac1{u^2-1} = \dfrac a{u-1} + \dfrac b{u+1} \\\\ 1 = a(u+1) + b(u-1) = (a+b)u + a-b \\\\ \implies \begin{cases}a+b=0\\a-b=1\end{cases} \implies a=\dfrac12,b=-\dfrac12[/tex]
so that
[tex]\displaystyle 9 \int \frac{\mathrm du}{u^2-1} = \frac92 \int \left(\frac1{u-1} - \frac1{u+1}\right) \,\mathrm du \\\\ = \frac92 \left(\ln|u-1| - \ln|u+1|\right) + C \\\\ = \frac92 \ln\left|\frac{u-1}{u+1}\right| + C \\\\ = \frac92 \ln\left(\frac{\sqrt{1+e^{2x}}-1}{\sqrt{1+e^{2x}}+1}\right) + C[/tex]
|72| ÷ |-12| =
?????????
Answer:
6
Step-by-step explanation:
|72| ÷ |-12|
Absolute value of 72 = 72
Absolute value of -12 = 12
72 ÷ 12 = 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
9 gal 2 qt to quarts
Answer:
38 us liquid quarts
Step-by-step explanation:
Use a number line or place value to round each number to the place of the underlined digit
you didn't put a picture in,
Shellie buys a loaf of bread fo $2.99, a gallon of milk for $3.49, and a pack of
lunchmeat for $5.99. The sales tax is 8%. How much will Shellie's total bill be,
including the sales tax? Round your answer to the nearest cent.
Answer:
$13.47
Step-by-step explanation:
2.99 + 3.49 +5.99 + 12.47.
12.47 x 0.08 = 1.
12.47 + 1 = 13.47
A multiple choice test contains 25 questions with 5 answer choices. What is the probability of correctly answering 8 questions if you guess randomly on each question?
Answer: 0.0623
Step-by-step explanation:
The probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.
It is given that multiple choice test contains 25 questions with 5 answer choices.
To find probability of correctly answering.
What is probability?The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
Given that:
The probability of each correct answer is [tex]p_{s}[/tex][tex]=\frac{1}{5}[/tex]
The probability of 8 successful answers in 25 independent trials for a binomial probability distribution is:
p(k|n)=[tex]\frac{n!}{(n-k)!*n!}[/tex][tex]p_{s}^{k} (1-p_{s})^{n-k} \\[/tex]
p(8|25)=[tex]\frac{25!}{(25-8)!*8!}[/tex][tex]{\frac{1}{5} }^{k} (1-1/5)^{25-8} \\[/tex]
p(8|25)=0.062348
So, the probability of correctly answering 8 questions if you guess randomly on each question is 0.062348.
Learn more about probability here:
https://brainly.com/question/24385262
#SPJ2
A property sells for $140,000 two years after it was purchased. If the annual appreciation rate is 6%, how much did the original buyer pay for it?
Answer:
$123,200
Step-by-step explanation:
0.06 x 2 = 0.12
140,000 x 0.12 = 16,800
140,000 - 16,800 = 123,200
The original buyer paid the amount of $123,200 for the property.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The property appreciated by 6% per year, so in two years it would have appreciated by 6% × 2 years = 12%.
Once we know the total appreciation, we can subtract that value from 100% to find the original purchase price as a percentage of the final sale price.
If the property appreciated by 12%, then the original purchase price must have been 100% - 12% = 88% of the final sale price.
Now, multiply the final sale price by the original purchase price as a percentage to find the original purchase price.
So, the original buyer paid the amount = 88% × $140,000 = $123,200
Therefore, the original purchase price was $123,200.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
If a ribbon that is 30.1 inches long is cut into equal pieces that are 1.75 inches long, how many pieces of ribbon can be created?
1.72
12.7
17.2
172.0
Answer:
17.2
Step-by-step explanation:
30.1÷1.75=17.2
plssss mark brainliesttr
6 bannas cost $0.75. How much do 20 bannas cost
Answer:
15
Step-by-step explanation:
Answer:
The answer is 15
Step-by-step explanation:
HELP PLEASE
Find the length of AB
Step-by-step explanation:
hopefully it makes sense and is visible
:)
brainiest to whoever rightt.
Answer:
Perimeter of a square
Step-by-step explanation:
The formula for finding out the perimeter of a square is P = 4s
pls help with this problem
====================================================
Explanation:
Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.
We then use the pythagorean theorem to find the length of the hypotenuse MT.
a^2 + b^2 = c^2
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
c^2 = 676
c = sqrt(676)
c = 26
Segment MT is 26 cm long.
This applies to the other diagonal AH as well.
Find - 36
.
Ο +6
-6
9Ο
Ο 18
Answer:
+or-6
Step-by-step explanation:
This is a trick question. The answer would be the first choice since you're multiplying -6 by +or-6, meaning that it could still end up as a negative or a positive.
Answer:
Step-by-step explanation:
15
Determine whether the ordered pairs (1,0) and 4,
(4:15)
are solutions of the following equation.
- 5x + 7y= -5
BRE
Is (1,0) a solution of - 5x + 7y = - 5?
O Yes
Ο Νο
(ANSWER QUICKLY)
Answer:
yes
Step-by-step explanation:
x = 1, y = 0
so,
-5×1 + 7×0 = -5
-5 + 0 = -5
-5 = -5
true, therefore (1, 0) is a solution (a point on the graph) of the equation.
I am not sure what the other pair should be.
brainiest to whoever right
Write an equation that expresses the following relationship.
p varies directly with d and inversely with the square of u
In your equation, use k as the constant of proportionality.
Answer:
p = k(d)/u^2
Step-by-step explanation:
BRAINLIEST, PLEASE!
help plz answer quickly
Answer:
plane EBG
Step-by-step explanation:
plane C is also named plane EBG
Answer:
[tex]\\ \sf\longmapsto Plane EBG[/tex]
We can't name it EBF as it is a axis and coplanar points
Also nEF is not a satisfactory name .
So the correct option is C
How many area codes (ABC) would be possible if all three digits could be any value 3-9
Answer:
Step-by-step explanation:
Which of the expressions below have a value of 12? Select all that apply.
A) -4 X-3
B) 6 x 2
C) -6 X-2
D) 3 X-4
E) 12 x 1
Answer:
A, B, C, and E
Step-by-step explanation:
A) -4 X-3 = 12
B) 6 x 2 = 12
C) -6 X-2 = 12
D) 3 X-4 = -12
E) 12 x 1 = 12
the expressions that have a value of 12 are :
A, B, C, and E
Answer:
Lets find
[tex]\\ \rm\longmapsto -4(-3)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto 6(2)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto -6(-2)=12\checkmark[/tex]
[tex]\\ \rm\longmapsto 3(-4)=-12\checkmark[/tex]
[tex]\\ \rm\longmapsto 12(1)=12\checkmark[/tex]
Calculate the distance between the points -8,2 and 3,2 on a coordinate plane
[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(3+8)^2+(2-2)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{11^2}[/tex]
[tex]\\ \rm\Rrightarrow 11[/tex]
Help me then get brainlest
Hi ;-)
This angle is
obtuseAnswer:
This is an obtuse angle
Step-by-step explanation:
Anything over 90 degrees is obtuse
5.
A bag contains three types of candy (gumdrops, jelly beans, and jawbreakers). If
chosen at random, the probability of getting a gumdrop is 1/6 and the probability
of getting a jellybean is 1/3 What is the probability of getting a jawbreaker?
Answer:
P) = 1/2 jawbreaker
simplified P) 3/6 = 1/2 jawbreaker
Which both mean the same, so show simplified if asked and either answer if not asked would be marked high.
as 2/6 + 1/3 = 3/6
1 - 3/6 = 3/6
= 1/2 are the workings.
Step-by-step explanation:
Jelly bean = 1/3 = 2/6
Gumdrop = 1/6
2/6 + 1/6 = 3/6 = the difference of 1
1-3/6 = 3/6
Therefore; P) = 3/6 jawbreaker
. Evaluate the expression below for x = 4. 6(x+8) (please
Answer:
D
Step-by-step explanation:
6(x + 8) = Plug in x with 4
6(4 + 8) =
6(12) =
72
Match the terms to their definition.
1. union
2. intersection
3. compound inequality
Hurry plz
Step-by-step explanation:
compound inequality: a statement formed by two.......
intersection: elements that are in both set A and B
union: elements that are in either set A or B
Anyone who knows this mathematic question will get the brainliest
Whats the answer to it i can't figure it out
Answer:
-0.1
...............................