Answer:
31/40
Step-by-step explanation:
Find the common denominator
15/40 + 16/40 = 31/40
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How many numbers from 0 to 199 have 3 factors
Pls Help
There are 6 numbers from 0 to 199 who have 3 factors. These numbers are:-
4( factors-1,2,4)9(1,3,9)25(1,5,25) 49(1,7,49)121(1,11,121)169(1,13,169).Please mark my answer the brainliest.HELPPP PLS
show work
Water is being poured into a hemispherical bowl of radius 8 inches at the constant rate of
5 in^3/sec. Let V represent the volume of water in the hemispherical bowl (in cubic inches)
and let h represent the height of water in the bowl (in inches). Then V=pih2 (R-h/3),
where R represents the radius of the bowl in inches. Determine the rate at which the water
level is rising at the moment the water is 2.4 inches deep.
Answer:
Approximately [tex]0.0435\; \text{in} \cdot \text{s}^{-1}[/tex]. (Given that [tex]V = \pi\, r\, h^{2} - (1/3)\, h^{3}[/tex].)
Step-by-step explanation:
Let [tex]t[/tex] denote time. Both the volume of water in the bowl, [tex]V[/tex], and the height of water in the bowl, [tex]h[/tex], are dependent on [tex]t\![/tex] (as if the [tex]V\![/tex] and [tex]h[/tex] are functions of [tex]\! t[/tex].)
Implicitly differentiate both sides of the equation [tex]V = \pi\, r\, h^{2} - (1/3)\, h^{3}[/tex] with respect to [tex]\! t[/tex]:
[tex]\displaystyle \frac{d}{d t}[V] = \frac{d}{d t}\left[\pi\, r\, h^{2} - (1/3)\, h^{3}\right][/tex].
[tex]\displaystyle \frac{d V}{d t} = 2\, \pi\, r\, h\, \frac{d h}{d t} + (1/3)\, (3\, h^{2})\, \frac{d h}{d t}[/tex].
Both [tex]h[/tex] (current height of water in the bowl) and [tex](d V) / (d t)[/tex] (rate at which water is poured into the bowl) are given: [tex]h = 2.4\; \text{in}[/tex] and [tex](d V) / (d t) = 5\; \text{in}^{3}\cdot \text{s}^{-1}[/tex]. The question is asking for [tex](d h) / (d t)[/tex], the rate at which the water level in the bowl is rising.
Thus, rearrange the equation to find an expression for [tex](d h) / (d t)[/tex] in terms of [tex]h[/tex], [tex]r[/tex], and [tex](d V) / (d t)[/tex]. Substitute in the values [tex]h = 2.4\; \text{in}[/tex], [tex](d V) / (d t) = 5\; \text{in}^{3}\cdot \text{s}^{-1}[/tex], and [tex]r= 8\; \text{in}[/tex]; solve for [tex](d h) / (d t)\![/tex], the rate at which the water level is rising:
[tex]\displaystyle \frac{d V}{d t} = \left(2\, \pi\, r\, h\, + (1/3)\, (3\, h^{2})\right)\, \frac{d h}{d t}[/tex].
[tex]\begin{aligned} \frac{d h}{d t} &= \frac{\displaystyle \frac{d V}{d t}}{2\, \pi\, r\, h\, + (1/3)\, (3\, h^{2})} \\ &= \frac{\displaystyle \frac{d V}{d t}}{2\, \pi\, r\, h\, + h^{2}} \\ &= \frac{5\; \text{in}^{3} \cdot \text{s}^{-1}}{2\, \pi \, (8\; \text{in})\, (2.4\; \text{in}) + (2.4\; \text{in})^{2}} \\ &\approx 0.0435\; \text{in} \cdot \text{s}^{-1} \end{aligned}[/tex].
Answer 1, 2, and 3.
Answer:
1.
a) isosceles right triangle
b) scalene triangle
c) isosceles triangle
d) equilateral triangle
2. 53 degrees
3. Yes. You can use the side-side-side (SSS) postulate because side QR and side SR are shown as congruent, and side QP and SP are also congruent. Since you know that the other two sides are congruent, then that means that the last side must be congruent as well.
Step-by-step explanation:
What must m
A. 18
B. 59
C. 121
D. Not Enough Information
(Here is a picture)
An explanation would be very helpful!
In an election, Candidate A received 476 votes and Candidate B received 374 votes. What percentage of the votes did Candidate A receive?
Jessica bought KPOP merchandise at the store. She bought two t-shirts for $13.95
each and she bought a calendar for $7.95. She paid with a $50.00 bill
here a subtraction problem that has been solved incorrectly for 44-16=28 choose the addition sentence that check this subtraction problem the choices are 28+16=32 28+44=72 28+16=44 which one is correct
Answer:
Answer:
28+16=44
Step-by-step explanation:
point of correction it has been solved correctly
when subtracting 44 - 16 it gives you 28
=> 44 - 16
=> 28
SO IN ORDER TO CHECK IF THE PROBLEM WAS SOLVE CORRECTLY
you will minus 28 from one of the numbers before the equal sign
the correct option is 28 + 16 equals to 44
=> 28+16=44
Answer:
28 + 16 = 44
Step-by-step explanation:
basically it is like isolating the biggest number (44) by bringing 16 to the right side of the equation. from 44 - 16 = 28 to 44 = 28 + 16 which is the same as 28 + 16 = 44
The length of a cell phone is 1.2 inches and the width is 3.4 inches. The company making the cell phone wants to make a new version whose length will be 1.68 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Question on image. (calculus)
Answer:
D
Step-by-step explanation:
[tex]\tan^{-1}(\frac{a}{b})}[/tex] is the angle on the right, so
[tex]\cos[\tan^{-1}(\frac{a}{b})}]=\frac{b}{\sqrt{a^2+b^2}}[/tex]
That is D
What annual interest rate will cause your money to double in four years
Answer:
The rule also means if you want your money to double in 4 years, you need to find an investment that earns 18% per year compounded annually.
Step-by-step explanation:
Nancy started the year with $425 in the bank and is saving $25 each week. Sam started the year with $705 but is spending $15 a week. When will Nancy and Sam have the same amount of money? How much money will they each have? Write a system of equations that model the following situation. Define each variables with a “Let” statement, write two equations, and solve completely.
Answer:
The system of equations:
Nancy: Y=$425+$25x
Sam : Y=$705-$15x
Given:
Amount in Nancy's bank = $425
Amount saved by Nancy each week = $25
Amount in Sam's bank = $705
Amount spent by Sam each week = $15
To find:
Y=$425+$25xx
Y=$425+$25x
The system of equations describing the given models.
Solution
1) Amount in Nancy's bank = $425
Amount saved by Nancy each week = $25
Let the number of weeks Nancy saving her money be 'x'.
Let the total amount of money in Nancy's bank after x weeks be 'y'.
The equation for Nancy: Y=$425+$25x
Answer for NancyY=$425+$25x2) Amount in Sam's bank = $705
Amount spend by Sam each week = $15
Let the number of weeks Sam spending his money be 'x'
Let the total amount of money left in Sam's bank after x weeks ='y'
The equation for Sam:
Y=$705-$15 x x
Answer for Sam: Y=$705-$15xStep-by-step explanation:
Factor the expression using the GCF.
4 + 22
Answer:
2(2+11)
Step-by-step explanation:
i hope it helps i guess
The radius of a circle is tripled, what happens to the circumference of the circle?
Answer:
It gets bigger
Step-by-step explanation:
You just multiply the circumference by 3
Answer:
The circumference is tripled
Step-by-step explanation:
The formula for the circumference is 2πr. If you triple the radius the formula would be 2π3r. the ratio between the two is 2π3r / 2π1r. 2π & r cancels out and you have 3/1 left. Therefore the answer is the circumference is tripled.
The fact that there is no exponential in the formula indicates that the proportional increase is lineal.
I need the equation.
Answer:
V = 1/3 LWH
Step-by-step explanation:
V = Volume
L = Length
W = Width (or you can write B instead of W)
B = Breadth (same meaning as Width)
H = Height
Hope this helps you.
Given the data set 5, 5, 6, 6, 6, 6, 6, 6, 6, 7 which of the mean, median or mode would you use to describe the typical or central value in this date set? Why?
Answer:
Both median,mode and mean are measures of central tendency but according to the question Mode is the best measure since it is unique
PLEASE SHOW HOW YOU GOT THE ANSWER THANKS!
GIVING BRAINLIEST!!!
Answer:
a) 5 b) 1 c) 0 d) -4
Explanation:
a) 10[(1/2+1/4) + 2(1/8)] ÷ 2
Ok, there's a lot going on. You will want to follow PEMDAS, the acronym of the Order of Operations. It stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. The M/D can be switched depending on what comes first from left to right, and same goes for A/S.
First, start off by doing everything in the brackets.
Let's add 1/2 and 1/4. To add fractions, they have to have a common denominator. I'm making 1/2 into 2/4 but multiplying the top and bottom by 2. Now it is 2/4 + 1/4 so we can add to get 3/4.
The other thing inside the brackets is 2(1/8). We can just multiply straight across and get 2/8. This can be simplified to 1/4.
Now, we add 3/4 and 1/4. The denominators are already the same, so we can just add them together to get 4/4 or 1.
Rewriting the equation, we now have 10(1)÷2
10•1 = 10
10 ÷ 2 = 5
The answer to question a is 5.
b) √(0.6)² + (0.8)²
First, we need to square both terms. Squaring is the same as multiplying the number by itself.
0.6 • 0.6 = 0.36
0.8 • 0.8 = 0.64
Add them together: 0.36 + 0.64 = 1
√1 = 1
The answer to question b is 1.
c) (1/5 - 3/5) • √6•3/2 + (√36 ÷ √5²)
Let's start with the first bit: (1/5 - 3/5)
The denominators are the same, so just subtract and you get -2/5
The second bit now: [tex]\sqrt{6 *\frac{3}{2} }[/tex]
Multiply across and you get 18/2, which can be simplified to 9
√9 = 3
The third section: ([tex]\sqrt{36}[/tex]÷ [tex]\sqrt{5^{2} }[/tex])
The square root of 36 = 6 (because 6•6=36, so it's right)
The square root and the square cancel each other out, so the second part is 5.
6 ÷ 5 = 1.2
Now put it all together: -2/5 • 3 + 1.2
I'm making the 1.2 into a fraction so it is the same as the fraction: 1.2 = 6/5
We now have -2/5 • 3 + 6/5
First we multiply -2/5 and 3 across:
-2/5 • 3 = -6/5
Now we add -6/5 and 6/5 across:
-6/5 + 6/5 = 0
d) [-1.5 + √0.25 - (-0.75)] • 2^4
Doing the brackets first:
The square root of 0.25 = 0.5 (because 0.5 • 0.5 = 0.25)
-1.5 + 0.5 - -0.75
-1 + 0.75 (subtracting a negative make a positive)
-0.25
-0.25 • 2^4
2^4 = 16 (this is saying 2•2•2•2 which is 16)
-.25 • 16 = -4
100 POINTS!
What is the value of x? Enter your answer in the box. x =
Answer:
x = 4
Step-by-step explanation:
For ΔLJK
[tex]sin(K) = \frac{Opposite}{Hypotenuse} \\sin(30)=\frac{LJ}{8\sqrt{2} }[/tex]
[tex]LJ=8\sqrt{2} *sin30=4\sqrt{2}[/tex]
For ΔLMJ
[tex]sin(J) = \frac{Opposite}{Hypotenuse} \\sin(45)=\frac{LM}{4\sqrt{2} }[/tex]
[tex]LM=4\sqrt{2} *sin45=4[/tex]
x = LM = 4
This student incorrectly simplified this expression.
−12m+3+5m
Step 1: −7m + 3
Step 2: −4m
Identify the student's error.
Explain what they did wrong.
Answer:
/
dont subtract 3 from -7m so it would be -7m + 3
7m
/
= m = 3
A quadrilateral that has all congruent sides and all right angles is known as a
Answer: Square
Step-by-step explanation:
Please answer a question the images.
The distribution of the animals in the coral reef is an illustration of probability
The most likely animalThe distribution of the animals is given as:
Blue fish = 3
Yellow fish = 7
Sea turtle = 1
Eels = 3
The animal with the highest frequency is the most likely animal.
Hence, the Yellow fish is the most likely animal.
Which is more likely?From the question, we have:
Blue fish = 3
Eels = 3
Both animals have the same frequency.
This means that Riley has equal chance of seeing a blue fish and an eel.
The probability of seeing an animal with fins
The animal with fins are:
Blue fish = 3
Yellow fish = 7
So, the probability is:
[tex]p = \frac{3 + 7}{3 + 7 + 1 + 3}[/tex]
[tex]p = \frac{10}{14}[/tex]
Simplify
[tex]p = \frac 57[/tex]
Hence, the probability of seeing an animal with fins is 5/7
The least likely animalThe animal with the least frequency is:
Sea turtle = 1
So, the likelihood is:
[tex]p = \frac 1{14}[/tex]
Hence, the sea turtle has the least likelihood of 1/14
Animals with equal likelihoodThe Blue fish and the Eels have the same frequency of 3
This means that animals have equal likelihood
The probability of seeing each animal
We have:
Blue fish = 3
Yellow fish = 7
Sea turtle = 1
Eels = 3
Express as probability
Blue fish = 3/14
Yellow fish = 7/14
Sea turtle = 1/14
Eels = 3/14
Express the fractions as decimals
Blue fish = 0.214
Yellow fish = 0.500
Sea turtle = 0.071
Eels = 0.214
So, their likelihoods are:
Blue fish = Equally likely
Yellow fish = Certainly likely
Sea turtle = Unlikely
Eels = Equally likely
Read more about probabilities at:
https://brainly.com/question/25870256
Adrin serve each guest 1 /8 of the cake What is the greatest number of guest Adiran can serve
Answer:
8 guests.
Step-by-step explanation:
1 cake split by 8 guests means each guest gets 1/8 of the cake.
please give brainliest!!
3 tons of sand cost $3,900.00. What is the price per pound?
Answer:
65¢
Step-by-step explanation:
3 tons of sand cost $3900
A ton is 2000 pounds
6000 pounds of sand cost $3900
3900/6000 = 0.65
65¢
Step-by-step explanation:
3ton ==> $3,900.00
1ton ===> $3,900.00/3 =$1,300.00
1 ton = 2204.623 pound
1 pound==> $1,300.00 / 2204.623 = $0.59 approx
Name a multiple of seven is between 20 and 50
gina wilson unit 7 homework 3 second page document
Answer:
This will help i am telling you if it don't ask me for the answer
Step-by-step explanation:
3 1/2 is to 5 as x is to 15
Answer:
[tex]x = 10.5[/tex]
Solving steps:
3 1/2 = 5, x = 15
divide 3.5 by 5
=> 0.7
0.7 by 15
=> 10.5
A painting is 2 in wide and 3 in tall. If it
is enlarged to a height of 18 in, then how
wide will it be?
Answer:
i think it would be 12 inches wide
Step-by-step explanation:
someone can help me please
Step-by-step explanation:
64 crayons school order 25 for the art class there are 5 art class they should be share evenly
What is the volume of this container? ?
2 ft2
2 ft
2 ft²
I ft
4 ft²
I ft
4 ft3
Answer:
2ft^3
Step-by-step explanation:
Volume= L× W× H
[tex]volume = 1 \times 1 \times 2[/tex]
[tex]volume = 2ft^{3} [/tex]
~
MOLECULES A glass of water contains 0.25 liter of water. If 1 milliliter of water contains 3.3 x 10^22 water molecules, how many water molecules
are there in the glass of water? Write your answer in scientific notation
Answer:
8.25*10^24
Step-by-step explanation:
1000*.25= 250 (this converts the .25 into milliliters)
250(3.3 * 10^22)
= 8.25*10^24
The required molecules of water in the glass are given as 8.25 × 10²⁴.
What is a unit of measurement?Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.
Here,
A glass of water contains 0.25 liter of water.
1 liter = 1000 mililiters
So,
0.25 liter = 250 mililiter
Now,
1 milliliter of water contains 3.3 x 10²² water molecules,
Number of molecules in 0.25 liters of water,
= 250 × 3.3 x 10²²
= 8.25 × 10²⁴
Thus, the required molecules of water in the glass are given as 8.25 × 10²⁴.
Learn more about measurement here:
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