Answer:
3/2 liters/minute
Step-by-step explanation:
Divide 11/15 liters by 22/45 minutes:
11
------
15
-----------
22
-----
45
This is equivalent to:
11 45
----- * ----- = 3/2 (liters/min)
15 22
The flow rate of the pipe is 3/2 (or 1.5) litres per minute.
To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).
Given:
Volume of water = 11/15 liters
Time taken = 22/45 minutes
Flow rate = Volume / Time
Flow rate = (11/15) liters / (22/45) minutes
To divide by a fraction, we multiply by its reciprocal:
Flow rate = (11/15) x (45/22) liters/minutes
Simplifying the expression:
Flow rate = 495/330 litres/minutes
The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:
Flow rate = (495/165) / (330/165) litres/minutes
Flow rate = 3/2 liters/minutes
Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.
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Calculate the mass of 245 mL of benzene if the density of benzene is 0.8765 g/mL.
Answer: 214.7425g
Step-by-step explanation:
Total benzene = 245mL
Density of benzene = 0.8765g/mL
Which means there is 0.8765g benzene per mL
Mass = 245×0.8765
= 214.7425g
Therefore there is 214.7425g of mass in 245mL benzene
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If the density of benzene is 0.8765 g/mL, the mass of benzene is 214.74 grams.
Given the following data:
Density of benzene = 0.8765 g/mL Volume of benzene = 245 mLTo find the mass of benzene:
Density is mass all over the volume of a substance or an object.
Mathematically, the density of a substance is given by the formula;
[tex]Density = \frac{Mass}{Volume}[/tex]
Making mass the subject of formula, we have;
[tex]Mass = Density[/tex] × [tex]Volume[/tex]
[tex]Mass = 0.8765[/tex] × [tex]245[/tex]
Mass = 214.74 grams.
Therefore, the mass of benzene is 214.74 grams.
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find the measure of the indicated angle to the nearest degree
Answer:
missing angle= 44°
Step-by-step explanation
sin=opposite/hypotenuse
cos=adjacent/hypotenuse
tan=opposite/adjacent
x is opposite of 19 and 41 is the biggest side so that is the hypotenuse. with that being said you will put in your calculator sin(19/41) and make sure that it is in radian mode. This gives you the answer of 44°
HELP ME PLEASEEEE
TAXI RATES A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. Write an expression for the cost of the ride
if you travel x miles in the taxi with no traffic delays.
Step-by-step explanation:
C(x) = 2.50 + 5(0.40x)
<=> C(x) = 2.50 + 2.00 x
The required expression for the taxi charges is C(x) = $2.50 + 0.4 * x/5.
Given that,
A New York City taxi charges $2.50, plus $.40 for each fifth of a
mile if it is not delayed by traffic. To determine an expression for the cost of the ride, if travel x miles in the taxi with no traffic delays to determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the number of miles be x,
The total charge be C(x)
Now accoding to the condition total charge could be the sum of the cost of every fifth mile and $2.40. So, every fifth mile = x / 5
Now,
C(x) = 2.40 + 0.40 * x/5
Thus, the required expression for the taxi charges is C(x) = $2.50 + 0.4 * x/5.
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(a+b)² = a²+2ab+b² prove that.
Answer:
see explanation
Step-by-step explanation:
(a + b)²
= (a + b)(a + b)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a + b) + b(a + b) ← distribute parenthesis
= a² + ab + ab + b² ← collect like terms
= a² + 2ab + b²
Answer:
(a+b) is squared which means (a+b)(a+b)
Lets prove it
= (a+b)(a+b)
= a(a+b) + b(a+b) (Here a will mutiply by (a+b) and b will mutiply with (a+b)
= a²+ab + ab + b²
= a²+ 2ab + b²
Hence proved (a+b)² = a²+ 2ab + b²
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can i please get some help on this one ASAP!
Answer:
This is a 4th degree polynomial!
Step-by-step explanation:
Because the polynomial starts of the a number with a 4th degree and decreases down with lower numbers. Simply put, because (x^4) has the largest degree.
Hope this helps, good luck! :)
15= 3-4a what is the value of a in the equation
Answer:
5
Step-by-step explanation:
when 13 is subtracted from 5 we get 8
again when 8=2m
8/2=m
4=m
.
Is -626 an integer ? If yes, why.
Answer:
No
Step-by-step explanation:
Because intergerss are there positive opposite and its negative
Answer and Step-by-step explanation:
-626 is an integer because it is a whole number, not a fraction.
Integers can be both positive and negative numbers. What can't be an integer are fractions and decimals.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Angle Terminology with Equations
Aug 03, 8:18:32 AM
?
ZA and ZB are complementary angles. If m2A = (2x – 10)° and m
B = (x - 2), then find the measure of ZA.
EN O
Answer:
Submit Answer
attempt 1 out of 2
Pls help
If both are complementary then their sum will be 90°
[tex]\\ \sf\longmapsto m<A+m<B=90[/tex]
[tex]\\ \sf\longmapsto 2x-10+x-2=90[/tex]
[tex]\\ \sf\longmapsto 2x+x-10-2=90[/tex]
[tex]\\ \sf\longmapsto 3x-12=90[/tex]
[tex]\\ \sf\longmapsto 3x=90+12[/tex]
[tex]\\ \sf\longmapsto 3x=102[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{102}{3}[/tex]
[tex]\\ \sf\longmapsto x=34[/tex]
Now
[tex]\\ \sf\longmapsto <A=2x-10=2(34)-10=68-10=58[/tex]
What is the initial value of the sequence?
1
2
3
8
Answer:
2
Step-by-step explanation:
The initial value is the y value of the first term shown ( when x=1)
y = 2 when x=1
The initial value is 2
Answer:
What is the initial value of the sequence?
1 2 <<<CORRECT 3 8
Step-by-step explanation:
Edge 2021
Which is the answer ?
c는 답이다
[tex]x \sqrt[7]{ {x}^{2} } \\ = c \: is \: the \: answer[/tex]
A box contains a yellow ball, an orange ball, a green ball, and a blue ball. Billy randomly selects 4 balls from the box (with replacement). What is the expected value for the number of distinct colored balls Billy will select?
Answer:
[tex]Expected = 0.09375[/tex]
Step-by-step explanation:
Given
[tex]Balls = 4[/tex]
[tex]n = 4[/tex] --- selection
Required
The expected distinct colored balls
The probability of selecting one of the 4 balls is:
[tex]P = \frac{1}{4}[/tex]
The probability of selecting different balls in each selection is:
[tex]Pr = (\frac{1}{4})^n[/tex]
Substitute 4 for n
[tex]Pr = (\frac{1}{4})^4[/tex]
[tex]Pr = \frac{1}{256}[/tex]
The number of arrangement of the 4 balls is:
[tex]Arrangement = 4![/tex]
So, we have:
[tex]Arrangement = 4*3*2*1[/tex]
[tex]Arrangement = 24[/tex]
The expected number of distinct color is:
[tex]Expected = Arrangement * Pr[/tex]
[tex]Expected = 24 * \frac{1}{256}[/tex]
[tex]Expected = \frac{3}{32}[/tex]
[tex]Expected = 0.09375[/tex]
PLESE HELP YOU WILL GET ALOT OF POINTS
Answer:
It's a (space) lot,... haha na I just kidding,... you're good,... I mean I'm not kidding cause it is correct,... but you are good,... like totally cool,... anyway,...
Step-by-step explanation:
By x the just mean what number,... so,...
what number + 6 = 7,
6 + what number = 7,
2 + what number + 5 = 7,
1 + what number = 7,
what number + 4 + what number = 7,
So that is what it mean,... hope it helps, alot LOL,... and,... Chow
Find the value of 9x + 4y, when x = 4 and y = -3.
Answer:
hope found the answers bye.
Step-by-step explanation:
9x + 4y - 4 = 0
Putting in the x-value of -1, we get:
9(-1) + 4y - 4 = 0
Simplifying:
-9 + 4y - 4 = 0
Combining the -9 and the -4:
4y - 13 = 0
Getting rid of the -13 by adding 13 to both sides:
4y - 13 + 13 = 0 + 13
4y = 13
Dividing both sides by 4:
y = 13/4
Checking: Is 9(-1) +4(13/4) -4 really zero? Yes!
Find the values of the unknown angles marked with letters. please help me- it is about alternate angles
100 points!!!
a ?
b ?
c ?
d ?
Answer:
Step-by-step explanation:
Find either c or d first. Those are easy and everything will fall into place after those 2 are found.
c: angle c is supplementary with 115. That means that they add up to equal 180; therefore, 115° + c° = 180° so c = 65°.
d: angle d is supplementary with 70. Therefore, 70° + d° = 180° so d = 110°.
a and c are same side interior, so they are also supplementary. That means that a = 115°.
b and d are also same side interior, so they are also supplementary. That means that b = 70°.
NEED ASAP PLZZZ HELP
Answer:
the 1 one will be the answer
Convert the angle 0 = 310° to radians. Express your answer exactly.
Answer:
5.425
Step-by-step explanation:
310° = 310° × π ÷ 180°
= 310° × 3.142 ÷ 180°
= 310° × 0.0175
= 5.425
Answer:
[tex]\frac{31\pi }{18}[/tex]Step-by-step explanation:
i got it right on khan[tex]\frac{31\pi }{18}[/tex]
5+a2+ab-9c if a=5 b=4c=0
5+a2+ab-9c
let's just substitute a with 5, b with 4 and c with 0
5+5*2+5*4-9*0
= 5+10+20+0
= 35
Mark all the relative minimum points in the graph.
Please help I don't understand what to do.
Answer:
Step-by-step explanation:
The thing to remember is that absolute can be relative but relative can't be absolute. In other words, absolute min is the very lowest point on the graph and there's usually only one (unless there are 2 absolute mins that have the same y value) while relative mins can occur at several points on a graph. That means that the only relative min point on the graph occurs at (-3, 4); the absolute min occurs at (5, -6).
help please help asap :)
Answer:
4x^3
Step-by-step explanation:
20 x^5 + 28 x^4 + 12x^3
4*5*x^5 + 4*7*x^4 + 4*3*x^3
Factor out 4x^3
4x^3 ( 5x^2 + 7x +3)
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
PLEASE GIVE EXPLANATION
Answer:
Yo it's A
Step-by-step explanation:
An infinite sequence is one that goes on forever, in this case it's the one with the "..." at the end because that is what shows that the sequence is infinite
There are two infinite sequences, and you just have to figure out which one is an arithmetic sequence. An arithmetic sequence is one that subtracts or adds the same number every time to the previous number.
Out of the two infinite sequence choices, it's obviously not B because you aren't subtracting or adding the same number every time
It's A because you add 122 every time and it goes on forever.
hope this helps lol
Find the sum of the second multiple of 9 and the fifth multiple of 6.
Answer:
48
Step-by-step explanation:
9,18
6,12,18,24,30
18 + 30 = 48
a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are less
then zero
Answer:
- 10, - 40
Step-by-step explanation:
200, 170, 140, .... - 10, - 40 ....
30 × 5 = 150
140 - 150 = - 10
- 10 - 30 = - 40
Mathhhhhhhhhhhhhhhhhhhhhhhh Algebraaaaaaaa
Answer:
m=5/3
Step-by-step explanation:
Answer:
5/3 or 1 2/3
Step-by-step explanation:
First you subtract 4/3 from the left side. 23/6-4/3= 2 1/2
Then you multiply 2 on both sides, this simplifies the left side to be 3m and the right side 5.
Lastly, you divide by 3 to isolate the variable m.
And you get 5/3, which also equals 1 2/3
help I don't get it
Answer:
2)
3)
4)
5)
6)
Step-by-step explanation:
Solve the equation sin(x° − 20°) = cos(42°) for x, where 0 < x < 90. A. 22 B. 28 C. 62 D. 68
[tex] \sin(x - 20°) = \cos(42°) [/tex]
[tex] \sin(x - 20°) = \sin(90° - 42°) [/tex]
[tex] \sin(x - 20°) = \sin 48°[/tex]
[tex]x - 20° = 48°[/tex]
[tex]x = 48° + 20°[/tex]
[tex]x = 68°[/tex]
______________________________■ HOPE IT HELPS YOU DEAR!!!______________________________Answer:68
Step-by-step explanation:
Guided Practice
Find the first, fourth, and eighth terms of the sequence.
an=−2 · 5n−1a subscript n baseline equals negative 2 times 5 superscript n minus 1 baseline
A.
–2; –250; –156,250
B.
0; –250; –156,250
C.
–10; –1000; –10,000,000
Answer:
A.
–2; –250; –156,250
Step-by-step explanation:
A(1) = -2 x 5(1) - 1 = -11
A(4) = -2 x 5(4) -1 = -41
A(8) = -2 x 5(8) -1 = -81
...............................................................................................................................................
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which term
so
an=-2(5)^(n-1)
first term is -2
4th term is subsitue 4 for n
a4=-2(5)^(4-1)
a4=-2(5)^3
a4=-2(125)
a4=-250
4th term is -250
--------------------------
8th term
a8=-2(5)^(8-1)
a8=-2(5)^7
a8=-2(78125)
a8=-156250
8th term is -156250
...............................................................................................................................................
A(1)=2*5^1-1=2*5^0=2*1=2
a(4)=2*5^4-1=2*5^3=2*125=250
a(8)=2*5^8-1=2*5^7=2*78,125=156,250
...............................................................................................................................................
2, 250, 156, 250
You order CDs for $14.25 each and the website charges $4.50 for each shipment.
The expression $14.25p + $4.50 represents the cost of p CDs. Find the total cost for
ordering 4 CDs.
Answer:
$61.50
Step-by-step explanation:
14.25(4) + 4.50
= 57.00 + 4.50
= 61.50
A rectangular bathroom mirror has a perimeter of 22 feet. Its area is 18 square feet. What are the dimensions of the mirror?
Answer:
The dimensions of the mirror is 9 feet and 2 feet
Step-by-step explanation:
Keep in mind that the area and perimeter of a rectangle is:
Area - length x width
Perimeter - 2 (l + w)
List the factors of 18 (the area of the mirror):
1, 2, 3, 6, 9, 18
POSSIBLE DIMENSIONS OF MIRROR:
1 ft and 18 ft
Area = 18 ft^2
Perimeter = 38 feet
2 ft and 9 ft
Area = 18 ft^2
Perimeter = 22 feet
3 ft and 6 ft
Perimeter = 18 feet
The rectangle with dimensions 2 feet and 9 feet corresponds with the area and perimeter of the mirror mentioned. So those are the correct dimensions.
Hope these helps!
pls help i will give brainliest for answer and explanation.
Answer:
36
Step-by-step explanation:
girls:boys=2:3
2units=24
1unit=24÷2=12
boys have 3 units
3units=12 x 3 =36
There are 36 boys
A company distributes candies in bags labeled 23.6 ounces. The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces . Assuming that the standard deviation is 3.2. At 0.05 level of significance , test the claim that the bags contain more than 23.6 ounces . what is your conclusion about the claim.
Answer:
The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.
Step-by-step explanation:
A company distributes candies in bags labeled 23.6 ounces. Test if the mean is more than this:
At the null hypothesis, we test if the mean is of 23.6, that is:
[tex]H_0: \mu = 23.6[/tex]
At the alternative hypothesis, we test if the mean is of more than 23.6, that is:
[tex]H_1: \mu > 23.6[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
23.6 is tested at the null hypothesis:
This means that [tex]\mu = 23.6[/tex]
The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces. Assuming that the standard deviation is 3.2.
This means that [tex]n = 60, X = 24, \sigma = 3.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{24 - 23.6}{\frac{3.2}{\sqrt{60}}}[/tex]
[tex]z = 0.97[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 24, which is 1 subtracted by the p-value of z = 0.97.
Looking at the z-table, z = 0.97 has a p-value of 0.834.
1 - 0.834 = 0.166
The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.
