Answer:
y+zx=a (see below for variables
Step-by-step explanation:
You haven't attached an image, so I'll I assume you want the equation
y is amount of water, x is time, z is water drained per minute, and a is the original amount o water
y=a-zx
rearranging it for the original amount of water
y+zx=a
Answer:
360 liters
Step-by-step explanation:
The time when the draining began is the same as 0 minutes since the beginning of the draining. So we need to look for the point on the graph where Time is 0, which is the y-intercept. The point we are looking for is (0,360), which means that at the beginning of the draining, there were 360 liters of water in the tub.
Determine whether the equation is a linear equation in two variables. 5y = x - 5
Answer:
Yes
Step-by-step explanation:
start with 5y=x-5
divide both sides by 5 to get:
y= x/5 - 1
since a linear equation is represented by y=mx+b, and this can be represented in that form, this is a linear equation.
Entrance to a state park costs $6 per vehicle, plus $2 per person in the vehicle the cost for a bus with 50 people?
Answer:
$106
Step-by-step explanation:
So, this is what we know:
$6 per vehicle (1 bus) + $2 per person (50 people)
Here is the solution:
= $6 + $100
= $106
Given f(x) = 9-3x and g(x) = - 6x + 3, find (f + g)(x).
Answer:4
Step-by-step explanation:
Show that: [tex]\sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]
Brainliest! Brainliest..ans.
Here we need to Prove that ,
[tex]\bf\implies \sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]
Lets start with LHS , which is ,
[tex]\bf\implies LHS = \sqrt[ab]{ \dfrac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \dfrac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \dfrac{ {x}^{c} }{ {x}^{a} } } [/tex]
We know that ,
[tex]\bf\implies \sqrt[n]{k^m }= k^{\frac{m}{n}}[/tex]
• So that ,
[tex]\bf\implies \sqrt[ab]{x^{a-b}} . \sqrt[bc]{x^{b-c}} .\sqrt[ac]{x^{c-a}} \\\\\bf\implies x^{\frac{a-b}{ab}} . x ^{\frac{b-c}{bc}} .x^{\frac{c-a}{ca}} \\\\\bf\implies x^{\frac{ ac - bc + ab - ac + bc - ba }{abc } }\\\\\bf\implies x^{\frac{0}{abc}} \\\\\bf\implies x^0 \\\\\bf\implies 1 = RHS [/tex]
Hence ,
[tex]\implies \boxed{\bf \red{ LHS = RHS }} [/tex]
[tex]\large\underline{\sf{Solution-}}[/tex]
Consider LHS:
[tex]\sf= \sqrt[\sf ab]{\dfrac{\sf x^{a}}{\sf x^{b}}}\cdot \sqrt[\sf bc]{\dfrac{\sf x^{b}}{\sf x^{c}}}\cdot \sqrt[\sf ac]{\dfrac{\sf x^{c}}{\sf x^{a}}}[/tex]
As we know that:
[tex]\sf\red\leadsto\dfrac{x^{a}}{x^{b}}=x^{a-b}[/tex]
We get:
[tex]\sf= \sqrt[\sf ab]{\sf x^{a-b}}\cdot \sqrt[\sf bc]{\sf x^{b-c}}\cdot \sqrt[\sf ac]{\sf x^{c-a}}[/tex]
We can also write it as:
[tex]\sf= x^{\dfrac{a-b}{ab}}\cdot x^{\dfrac{b-c}{bc}}\cdot x^{\dfrac{c-a}{ac}}[/tex]
We know that:
[tex]\sf \red\leadsto x^{a}\cdot x^{b}=x^{a+b}[/tex]
We get:
[tex]\sf= x^{\bigg(\dfrac{a-b}{ab}+\dfrac{b-c}{bc}+\dfrac{c-a}{ac}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{c(a-b)+a(b-c)+b(c-a)}{abc}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{ac-bc+ab-ac+bc-ab}{abc}\bigg)}[/tex]
[tex]\sf= x^{\bigg(\dfrac{0}{abc}\bigg)}[/tex]
[tex]\sf= x^{0}[/tex]
[tex]\sf=1[/tex]
[tex]\textsf{= RHS}\\[/tex]
Find the median of the data set.
2, 33, 23,37,45, 5,49, 27,48
A) 33
B)45
C)29.9
D)5
The answer that is in blue is mine but I’m not sure if it’s right
Assume that when human resource managers are randomly selected, 41% say job applicants should follow up within two weeks. If 8 human resource managers are randomly selected, find the probability that at least 4 of them say job applicants should follow up within two weeks.
Using the binomial distribution, it is found that there is a 0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.
For each manager, there are only two possible outcomes. Either they say job applicants should follow up within two weeks, or they do not say it. The opinion of a manager is independent of any other manager, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
n is the number of trials.x is the number of successes.p is the probability of a success on a single trial.In this problem:
41% say job applicants should follow up within two weeks, thus [tex]p = 0.41[/tex]8 managers are selected, thus [tex]n = 8[/tex].The probability that at least 4 of them say job applicants should follow up within two weeks is [tex]P(X \geq 4)[/tex], which is given by:
[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]
In which:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.41)^{0}.(0.59)^{8} = 0.0147[/tex]
[tex]P(X = 1) = C_{8,1}.(0.41)^{1}.(0.59)^{7} = 0.0816[/tex]
[tex]P(X = 2) = C_{8,2}.(0.41)^{2}.(0.59)^{6} = 0.1985[/tex]
[tex]P(X = 3) = C_{8,3}.(0.41)^{3}.(0.59)^{5} = 0.2759[/tex]
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0147 + 0.0816 + 0.1985 + 0.2759 = 0.5707[/tex]
[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.5705 = 0.4295[/tex]
0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.
A similar problem is given at https://brainly.com/question/25166697
Last month, when Joe took his puppy to the veterinarian, the puppy weighed 6.7 pounds. This month, the puppy weighed 10.05 pounds. What is the percentage increase of the weight of the puppy?
Answer:
50%
Step-by-step explanation:
someone please help with this question for brainliest !!!!:)
Answer:
11
0
1
30 ...........
.....
Refer to the rectangular prism
Answer:
Properties of a Rectangular Prism : A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal.
Step-by-step explanation:
math read please IMA WRITE USELESS WORDS CONTINUE
simplify the expression.
-1 (x+9)
Answer:
-x-9
Step-by-step explanation:
-1(x+9)
(-1)(x) + (-1)(9)
(-x) + (-9)
-x-9
Answer:
-9x
Step-by-step explanation:
(x+9)=(9x) and then
9x x -1
-9x is the answer
You give an 18% tip for a meal. What expression represents the total cost with tip?
Answer:
multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.
Step-by-step explanation:
Which conversion factor would you use to convert from meters to feet? 0.3048 m 1 ft 0.3048 m 1.61 miles 1 km 1 in. 2.54 cm
Answer:
There are 3.28084 feet per meter. So if you want to convert meters to feet using your own calculator, just multiply your number of meters by 3.28084.
Solve the equation for X x - 5 = 12
Answer:
X= 17
Step-by-step explanation:17-5 = 12 (Just add 12 and 5 for answer)
Answer: x=17
Add 5 on both sides
x-5+5=12+5
x=17
Step-by-step explanation: Hope this helps!
If you are having a tough time with math you can use:
khanacademy,
mathnation,
and many other free sources
an example of an abelian group which is not cyclic
G=Z6×Z2G=Z6×Z2 will do (where ZnZn denotes the cyclic group of order nn). As a direct product of cyclic (so abelian) groups, GG is again abelian. Given any element (x,y)∈G(x,y)∈G, the order of (x,y)(x,y) will be the least common multiple of the orders of x,y.x,y.
The order of xx must divide 66 and the order of yy must divide 2,2, so the order of (x,y)(x,y) is at most lcm(6,2)=6.lcm(6,2)=6. But |G|=|Z6|⋅|Z2|=6⋅2=12.|G|=|Z6|⋅|Z2|=6⋅2=12. Since no element of GG has order 12,12, then GG is not cyclic.
You have a square table and want to create a
tablecloth for it using a piece of fabric.
The side length of the table is 72 inches. How
much fabric do you need?
Based on the information given, the length of fabric that's needed will be 288 inches.
From the information given in the question, we are informed that the side length of the table is 72 inches. Therefore, in order to calculate the fabric needed, we have to find the perimeter and this goes thus:
= 72 inches × 4
= 288 inches.
Therefore, the length of fabric that's needed will be 288 inches.
Read related link on:
https://brainly.com/question/24429956
In a circle L, M, N are the points on the circle forming a triangle with LM = LN and mZMLN is 35' then what is m(arc LN)?
Answer:
145°Step-by-step explanation:
ΔLMN is isosceles with angle L being 35°.
Angle measure of M and N is same:
m∠M = m∠N = 1/2(180 - 35) = 72.5Arc measure is twice the intercepting angle, since the angle is not central:
mLN = 2*72.5 = 145ready
A machine contains two gears. The large gear has 12 teeth and the small gear has 8 teeth.
The gears are marked with arrows to show their starting positions. Josh wants to know how
many times each gear needs to turn for the arrows to line up again.
10
•) Find the number of teeth that have touched
after each full turn of the large gear.
11
Small Gear
) Turns )
Large Gear
Teeth
Teeth
1
12
8
2
3
?
4
?
Answer:
Step-by-step explanation:
I think it is a strangely worded question as they only refer to the larger gear turning.
I believe that this is what they are going for.
Number of teeth passing in each revolution
The Numbers match when the large gear turns two times as the smaller gear turns three times.
Find the area of the circle.
Step- by - Step Explanation:
Area of a circle=πr²
=3.14...×6²
=113.0973355292325
Approximately ≈113.1cm²
Please mark BRAINLIEST if I'm right.
A publisher reports that 28% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 300 found that 23% of the readers owned a personal computer. Determine the P-value of the test statistic. Round your answer to four decimal places.
cacacacacacas
⇆⇆⇄πβ≅≅ΔΔΔ
yes
I need a lil help here (18 points!!!!!)
Answer:
correct answer is 2
............................
Answer U4
Step-by-step explanation:
blank is 4
The hourly rate for a lecturer is £17.50. She works 35 hours a week and 8 hours overtime at time-and-a-half. What is her total pay for the week?
A) 52°
B) 78°
C) 96°
D) 39°
plot 1 1/2 and its opposite on the number line
Answer:
the opposite of 1 1/2(1.5) is -1 1/2(-1.5)
Step-by-step explanation:
If you can help please and thanks
Answer:
Cost of each pendant = $2.80
Step-by-step explanation:
Since we're given information regarding the total cost of beads, $13.20, and the total cost of beads and pendants for all 4 necklaces, $24.40:
Let b = beads
p = pendants
C = total cost of beads and pendants for all 4 necklaces.
b + p = C
$13.20 + p = $24.40
$13.20 - $13.20 + p = $24.40 - $13.20
p = $11.20 (This represents the total cost of 4 pendants).
To find out the cost of each pendant, divide $11.20 by 4:
$11.20 ÷ 4 = $2.80
Therefore, the cost of each pendant is $2.80.
Answer:
I'm 50% sure it's $7.52 though I may be wrong
50 tickets need sold but only 9 have been sold what percent have been sold?
Answer:
18%
Step-by-step explanation:
When converted to a household measurement, 9 kilograms is approximately equal to a
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
Please answer #1 hurry!!! Will give brainliest
Answer:
1a) O is the steepest
1b) because it is more angled
1c) all lines are positive
Step-by-step explanation:
1a) plot the coordinates on the graph and find the steepest
Answer:
1a) O) y = 5x
1b) The slope value is greater than M and N
1c) They all meet on the point of (0,0) because there is no b value and are all positive slopes.
what is the answer to 12 divided by 51.6??? can i have an explanation to please if you guys don't mind??
Answer:
will u give the brainliest?
Julie bought 4,649 lemons to make lemonade for a birthday party if this number is rounded to the nearest hundred about how many lemons did Julie bought ?
I need the solving too please