Answer:
Step-by-step explanation:
(15 -5)/(8 - 3)= 10/5= 2
y - 5 = 2(x - 3)
y - 5 = 2x - 6
y = 2x - 1
officials begin to release water from a man made lake at a rate that would empty the lake in 16 weeks, but a river that can fill the lake in 30 weeks is replenishing the lake at the same time. how many weeks does it take to empty the lake? express you answer as a fraction reduced to the lowest terms, if needed.
Answer:
34²/7
Step-by-step explanation:
Take the dam to be a take and the exit of the dam to be a tap at the bottom which is used to empty the tank and the river to be a pipe at the top of the tank that is used to fill the tank
The tap takes 16 week to empty the tank how much will it empty in 1 week =¹/16
The pipe takes 30 week to fill the tank how much will it fill in 1 week =¹/30
¹/16-¹/30= ?
Get the LCM of the denominator which is 240
The fractions are now
15/240-⁸/240=⁷/240
1week=⁷/240 empty
? = 240/240 empty
Cross multiple
240/240×1÷7/240
240/240×1÷240/7=240/7
7÷240=34²/7 weeks
Find the area of the surface. The part of the surface z = xy that lies within the cylinder x^2 + y^2 = 9
Answer:
The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
Step-by-step explanation:
Given that,
The equation of cylinder is
[tex]x^2+y^2=9[/tex]
The part of the surface z = xy
The coordinates is,
[tex]z_{x}=y[/tex]
[tex]z_{y}=x[/tex]
We need to calculate the value of ds
Using formula of ds
[tex]ds=\sqrt{1+z_{x}^2+z_{y}^2}dA[/tex]
Put the value in to the formula
[tex]ds=\sqrt{1+y^2+x^2}dA[/tex]....(I)
We know that.
The polar coordinates,
[tex]x=r\cos\theta[/tex]
[tex]y=r\sin\theta[/tex]
The general equation of cylinder is
[tex]x^2+y^2=r^2[/tex]
compare from given equation
[tex]x^2+y^2=3^2[/tex]
0<=θ<=2π, 0<=r<=3
Area element in polar coordinates is,
[tex]dA=r dr d\theta[/tex]
Put the value of dA in equation (I)
[tex]ds=\sqrt{1+r^2}r dr d\theta[/tex]....(II)
We need to calculate the area of surface
Using equation (II)
[tex]s=\int_{0}^{2\pi}\int_{0}^{3}\sqrt{1+r^2}r dr d\theta[/tex]
[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+r^2)^{\frac{3}{2}})_{0}^{3}d\theta[/tex]
[tex]s=\int_{0}^{2\pi}\dfrac{1}{3}((1+3^2)^{\frac{3}{2}}-(1+0^2)^{\frac{3}{2}})d\theta[/tex]
[tex]s=(\dfrac{1}{3}((10)^{\frac{3}{2}}-1)\theta)_{0}^{2\pi}[/tex]
[tex]s=\dfrac{1}{3}(10^{\frac{3}{2}}-1)(2\pi-0)[/tex]
[tex]s=\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
Hence, The area of surface is [tex]\dfrac{2}{3}(10^{\frac{3}{2}}-1)\pi[/tex]
PLS Help Asap! i will award brainliest On her way to her grandmother's house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?
Answer:
24 miles.
Step-by-step explanation:
Jackie traveled four times as many miles by bus as by foot. This means that the number of miles travelled by bus is 4 units, and the number of miles travelled by foot is 1 unit.
Jackie traveled three times as many miles by train as by bus. We know that the number of miles travelled by bus is 4 units, so the number of miles travelled by train is [tex]4\times3=12[/tex] units.
Total number of units: [tex]12units+4units+1unit=17units[/tex]
[tex]17units=34[/tex]
Divide 17:
[tex]1 unit=2[/tex]
The number of miles travelled by train is 12 units:
[tex]12units=2\times 12=24[/tex]
She travelled 24 miles by train.
Answer:
24 miles
Step-by-step explanation:
Statement of the given problem,
On her way to her grandmother's house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?
Let T, B & F denote the distances (in miles) traveled by train, bus & foot respectively.
Hence from above data we get following relations,
T = 3*B
or B = T/3
B = 4*F
F = B/4 = T/3/4 = T/12
T + B + F = 34
or T + T/3 + T/12 = 34
or 17*T/12 = 34 or T = 12*34/17 = 24 (miles) [Ans]
Which statement best explains whether these ordered pairs represent a function? (-4, 2) (6, 7) (-8, 3) (9, 10) (12, 14) (6, 9)
Answer:
These ordered pairs does NOT represent a function.
Step-by-step explanation:
One of the x-values repeast (6), which is not a characteristic of a function. Because so, it also does not pass the vertical line test because it would pass through the points twice.
In the number 4,118, how does the value represented by the 1 in the hundreds place compare with the value represented by the 1 in the tens place?
Answer:
its 10 times
Step-by-step explanation:
its because the value of 1 in the ten place and multiply by 10 to get the 1 in the hundred place or the 1 in the hundred place divide by 10 to get 1 in the tens place
it would rlly help so much Please I will give brainmast
Answer: The top right
Step-by-step explanation: The top left is a line segment so incorrect,
the bottom left is a ray so also incorrect, and finally, the bottom right is just a dot so that is also incorrect.
Hope this helped!
Mark Brainliest if you want!
Answer:
Top photo on right (the one with two arrows on the sides)
Step-by-step explanation:
Top left photo is a segmentBottom left photo is a rayBottom right photo is a dotSo, the only one left is the top right photoI hope this helps!
PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST!!
It's D 400 gallon of paint were used
3.5 with a line on top of five =
Answer:
7/2
Step-by-step explanation:
[tex] \sqrt{3969} [/tex]
Answer:
63
Step-by-step explanation:
The result of accounting root is a fortified number
63²= 3969
how many solutions does the following equation have 8u+3(1/3u-6)=9u+2u+12
how many solutions does the following equation have [tex] 8u+3(1/3u-6)=9u+2u+12[/tex]
Without even working out anything we can easily tell the answer is [tex]1[/tex] because the degree of the equation is one.
If you haven't learned this yet let me know and I will post the manual work.
:)
Answer:
1 solution
Step-by-step explanation:
When put in general form, the coefficient of u is non-zero, so there is 1 solution.
0 = 9u +2u +12 -(8u +3(1/3u -6))
0 = 11u +12 -8u -3(1/3u -6)
0 = 3u +12 -u +18
0 = 2u +30 . . . general form equation
0 = u +15
-15 = u . . . . . one solution
Help please, this is definitely not my area of expertise.
Answer:
she will make 1,815
equation:55x+1
Answer:
Equation: 55 + B = A
Ammount amy earns if she sells 33 books: 88 dollars
Step-by-step explanation:
they let us know that she earns 55 dollars a week. this is the minimum she can earn in a week. So 55 is just 55. she cant earn more or less than 55 a week by just working there. the variable is the ammount of books she sells every week. Every book she sells gives her an extra one dollar to her overall wage per week. so 55 is the base and the one dollar per book is the variable that changes depending on how much she sold. So the equation would the base of 55 and the variable 1x (x being the ammount of books being sold and the 1 being how much money she makes from each book) and now just put them together with a plus sign and it would look like this
55 + 1x = ...
If she was to sell 33 books and shes earning 1 dollar per book 1(33), we only change the x from x to 33
55 + 1(33) which gives us 88
HOPE THIS HELPED. DON'T FORGET TO MARK THIS AS THE BRAINLIEST ANSWER AND GIVE IT A 5 STAR FOR ANYONE IN THE FUTURE STRUGGLING TO DO THIS SAME PROBLEM. HAVE A NICE DAY!!!
What does P(BA) represent?
B is the given info after your A (event has happened)
RESULT:
P(B/A)= B given when A happens
Find the product. (-10) • (-10) • (-10)
Answer:
-1000
Step-by-step explanation:
-10 times -10 makes 100 as negative cancel each other
100 times -10 make -1000
Answer:
-1000
Step-by-step explanation:
-(10x10x10)
-10^3
-1000
-√121 + 5 please help fast
Answer:
-6
Step-by-step explanation:
If AB=CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
Answer:
None of them are correct
Step-by-step explanation:
-100x5 + 90?????????????????????????
Answer:
-410
Step-by-step explanation:
:)
Answer:-410
Step-by-step explanation:
bsolute Value is the distance from
ero - whether to the right or left on a
umber line - it's the SAME distance
nd DISTANCE is always ....
Positive or negative
Answer:
The negative integers go to the left: , , , and so on. The distance between a number's place on the number line and is called the number's absolute value The absolute value of a number is its distance from 0 on a number line..
Step-by-step explanation:
Negative
I hope this helps :)
Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)
(a) y = 3sinx
(b) y = 3xsinx - 5xcosx
(c) y = -3 / 2xcosx
(d) y = 3cosx
(e) y = 3 / 2xsinx
Answer:
C
Step-by-step explanation:
We must compute the derivatives and check if the equation is satisfied.
A. . Differentiate again to get , then so this choice of y doesn't solve the equation.
B. and , then so y is not a solution
C. hence . Then so y is a solution.
D. and , then thus y isn't a solution
E. hence . Then then y is not a solution.
The brain volumes (cm3) of 20 brains have a mean of 1162.5 cm3 and a standard deviation of 126.7 cm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1405.9 cm3 be significantly high?
Answer:
No, the brain volume of 1405.9cm³ would not be significantly high.
Step-by-step explanation:
We would use the Empirical rule to determine the answer for this question.
The empirical rule - formula states that:
a) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ
b) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ
The question asks us to use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high.
The range rule of thumb tells us that the range is four times the standard deviation. So we say that the usual values will be 2 standard deviations away from the mean of the data distribution.that the values are usually within 2 standard deviations from the mean.
Hence, μ = mean =1162.5 cm³
σ = Standard deviation = 126.7 cm³
μ – 2σ
1162.5 cm³ - 2(126.7 cm³)
= 1162.5 cm³ - 253.4 cm³
= 909.1cm³
μ + 2σ
1162.5 cm³ + 2(126.7 cm³)
= 1162.5 cm³ + 253.4 cm³
= 1415.9cm³
From the calculation above, we can see that for such data, 1405.9 cm³ is within the lower limits of 909.1 cm³ and the higher limits of 1415.9 cm³. Therefore the brain volume of 1405.9 cm³ would not be significantly high.
Write each product as a power. 10⋅10⋅10⋅10⋅10⋅10⋅10= pls help im dumb lol
Hey there!
ANSWER: [tex]10^7[/tex]EXPLANATION:[tex]10*10*10*10*10*10*10 \text{ as a power}[/tex]
To write as power, you will see how many times you multiply the number 10.
[tex]10(1)*10(2)*10(3)*10(4)*10(5)*10(6)*10(7)\\\text {It was multiplied 7 times}[/tex]
Since it was multiplied 7 times, you would write it like this.
[tex]10^7(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
answer ASAP. Subject is math
Answer: option C is wrong
Which of these relations are functions?
Elizabeth is a manager at a nursery and is in charge of displaying potted trees in a row Elizabeth has 150 citrus trees and 180 Palm trees she wants to make rows of trees so that each row has the same number of trees and each tree is in the same row. if the citrus trees and the palm trees must not be mixed in the rows what is the largest number of trees she can have in a row
Answer: the greatest number of trees that ElizaBeth can have in a row is 30
Step-by-step explanation:
given data:
citrus trees = 150
palm trees = 180
As we have to find the greatest number of trees that Elizabeth can have in a row, we will find the GCF or greatest common factor.
150 = 2 x 3 x 5 x 5
180 = 2 x 2 x 3 x 3 x 5
Greatest common factor is = 2 x 3 x 5 = 30
Therefore, the largest number of trees that ElizaBeth can have in a row is 30.
7n-(4n-3) simply to create a equivalent expression?
Answer:
3n + 3
Step-by-step explanation:
Step 1:
7n - 4n + 3
Answer:
3n + 3
Hope This Helps :)
The equivalent expression is 3n + 3.
To simplify the expression 7n - (4n - 3), distribute the negative sign inside the parentheses:
7n - (4n - 3) = 7n - 4n + 3
Simplifying further, combine like terms:
7n - 4n + 3 = (7n - 4n) + 3 = 3n + 3
To know more about equivalent here
https://brainly.com/question/25197597
#SPJ6
Please help with this
Answer:
Step-by-step explanation:
Since O is the center of the circle, from that point to any point that lies on the outside of the circle will have the same measure. That's worded weird. From point O to A, which is a radius, the length of that radius is 12. That means that the length from point O to any point on the outside of the circle will also measure 12. So from O to B is also 12. For y, we have a rule for when 2 lines tangent to a circle meet at a single point outside the circle. The 2 tangent lines are equal in length. So that means that if AC is 19.6, the CB is also 19.6. Your answer choice is 4.
Mrs. Royal has 99 Royal Recognition awards to give out. Each class received 9 awards. How many classes received awards
Answer:
11
Step-by-step explanation:
you just divide it
Answer:
11
Step-by-step explanation:
I thought collage students could do simple division...
Lol
State the name of the property illustrated. -6(4 + 6) = -24 + (-36)
Answer:
It's distributive property.
PLZZZ HELP WILL GIVE BRAINLIST
Answer:
2. C-40 3. A-1/85
Step-by-step explanation:
hope it helps
The admission fee at an amusement park is 20$ for children and 35$ adults. On a certain, day 264 people entered the park, and the admission fees collected totaled $6780. How many children and how many adults were admitted?
Answer:
100 Adults and 164 Children
Step-by-step explanation:
To solve this we will need to write two equations to solve for the two unknowns. Firstly, we know that tickets are 20 for children and 35 for adults, and that the total price was 6780. We can write an expression to represent this. 6780 is the total price, this also means it is the price of all the adults + the price of all the children. The total price of the adults tickets is the price of each ticket multiplied by the number of adults, so the total price of adult tickets can be represented by: 35A, 35 being the ticket price per adult, and A being the number of adults. Similarly the total children's price can be expressed as such: 20C, 20 being the price per child, and C being the number of children. Since we know that these two values total to 6780, we can now form an equation:
35A (total adult price) + 20C (total children price) = 6780
35A+20C=6780
Now we need another expression so we can substitute for one of the values. The other piece of information we are given, is that a total of 264 people entered the park. This means that the total number of adults + the total number of children = 264. Since we already have variables for the numbers of adults and children we now have our second equation:
A (number of adults) + C (number of children) = 264
A+C=264
Now we can use this second equation to substitute for one of the values in the first equation. Let's substitute for children:
If we rearrange the second expression we will get:
A+C-A=264-A
C=264-A
So now we substitute this expression into our first formula:
35A+20C=6780
C=264-A
35A+20(264-A)=6780
Now since we only have one unknown, we can simplify, expand and solve!
35A+20*264-20*A=6780
35A+5280-20A=6780
35A-20A+5280-5280=6780-5280
15A=1500
15A/15=1500/15
A= 100
A total of 100 adults were admitted.
Now we can use the number of adults to find the number of children using our second formula:
C=264-A
C=264-100
C=164
And there we are! A total of 100 adults and 164 children were admitted.
Hope this helped!
Which of the following Supreme Court justices served as the chief justice of the Court?
A. Justice Steven Breyer
B. Justice Antonin Scalia
C. Justice John Roberts
D. Justice Sonya Sotomayor
Answer:
the answers not B THE ANSWER IS C
Step-by-step explanation:
C. Justice John Roberts On September 5, 2005, President George W. Bush announced that he would nominate Judge John Roberts for the position of Chief Justice of the Supreme Court of the United States, to succeed William H. Rehnquist, who had died two days earlier.
Answer:
C
Step-by-step explanation:
yep