Answer:13 inches of snow
equation y
=2x
48 inches of snow
Step-by-step explanation:
What is the value of S ?
Step-by-step explanation:
30+s=180
s=180-30
s=150
Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).
To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).
Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)
where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.
First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:
\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)
Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:
\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)
Now, we can calculate the approximate volume using the Midpoint Rule:
\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)
Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
if one unit is equal to 2 feet, what is the perimeter of the garden?
I need help on these as well
Answer:
For number 5, the triangle sum theorem states that all angles inside of a triangle must add up to 180 degrees, so we have 30+90+66+x. Right angles are 90 degrees.
186+x=180
x=-6
For number 6, same rule applies here.
60+30x+90 = 180.
150+30x=180
x=1
15.023232323........
Irrational or rational?
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
enter numbers to evaluate -6 - (-11)
-6 - (-11) = - 6 + _____
= _____
Answer:
\(5-6+11=-6+16=10\)
Step-by-step explanation:
\(5-6+11=-6+16=10\)
Answer:
-6-(-11)=
-6+11=
5
Solve using the order of operations. 3 × 4 ÷ 2 = 4 + 16 - 10 = (1 + 2) + 3 × 4 = Please help me!!!!! I am stuck on these equations.
Answer:
6 = 10 = 15
Step-by-step explanation: This is what i can do
\(3\cdot \:4\div \:2=\\=12\div \:2=\\6\\\\4+16-10=10\\\\(1 + 2) + 3\times 4= \\=3+3\times \:4\\3+12 \\ =15\\\\\\\)
Order of Operations
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
First one: 3×4÷2
Since multiplication and division have the same power, you do the equation in order.
3×4=12
12÷2=6
Second one: 4+16-10
Since addition and subtraction have the same power, you do the equation in order.
4+16=20
20-10=10
Third one: (1+2)+3×4
You have to do the parentheses first...
1+2=3
Now you have to do multiplication since multiplication goes first (according to PEMDAS)
3×4=12
Now you have to add (3) and (12)
3+12=15
Final Answers
First one: 6
Second one: 10
Third one: 15
6=10=15
♡ Hope this helped! ♡
❀ 0ranges ❀
PLS HELP - NEED WITHIN 15 MINUTES! WILL MARK BRANILIEST AND 10 POINTS!!!
3√7 - 5√14 + 2√28
What is the output value for the following function if the input value is 1?
y = 3 x + 1
5
32
0
4
Help please! math question!! will give 20 points and brainliest!!
NEED HELP ASAP Triangle JKL was dilated with the origin as the center of dilation to create triangle J'K'L'. The triangle was dilated using a scale factor of 1/2 Which rule represents the dilation applied to triangle J K L to create its image, triangle J′ K′ L′ ?
Answer:
Step-by-step explanation:
C
Henry can write 5|14 fraction of the pages of his novel in 3 hours. At this rate, how many pages can Henry write in 8 hours?
Answer: 20/22
Step-by-step explanation:
You divide 5/14 by three and then multiply that answer by 8
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
Given the internal radius of the pipe is 2 cm, the external radius is 2.4 cm and the length of the pipe is 10 cm. Find the total surface area of the pipe.
Answer:
sorry if I am wrong. I tried my best
Whats the surface area?
Find the volume of a prism. Show your work.
Answer:
Step-by-step explanation:
11 times 22
the area of its cross-section multiplied by the length
answer: 242cm squared
each shelf on Sandra's bookcase is 42 1/2 inches long each book she wil place on a shelf is 3/4 inches wide what is the greatest number of books of this size can she fit on one shelf?
(the answer is 56 but I need to have the work)
Answer: yeah 56
Step-by-step explanation:
42.5 divided by .75 is 56.666666666666666666666666666667
And with this type of question, you have to round down to a whole number so, 56
Hope this helps :)
Fill in the chart to estimate the amount of each type of food that each
family will receive. Use compatible numbers to help you estimate.
Answer:
1. 113.4/9=12.6
2. 6.6/12= 0.55= 0.6
3. 28.5/10= 2.85= 2.9
4. 18.92/11= 1.72= 1.7
5. 5.37/3= 1.79= 1.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Does the equation r = 3 represent a function? Choose one option from each drop-down menu to explain your answer. For an equation to represent a function, multiple different inputs cannot have the same outputs The equation x = 3 represents a function because! Choose... inputs have Choose... outputs. Choose... the same multiple different
Answer:
This relation is NOT a function. In order for an equation to represent a function, every x in the range of the function must only have one y -value.
Can some please explain how to do this ?
Answer:
\(4^{2} = 4 x 4 =16\)
Step-by-step explanation:
First of all we need to understand what a perfect square is:
It is an integer which is the square of another integer integer; in other words, it is the product of some integer with itself.
For example: 9, this is a square number since itt equals \(3^{2}\) and 3x3 = 9
am I a loser, if so don't hold back just say it
Answer:
Loser
Step-by-step explanation:
Answer:
I don't know.
Step-by-step explanation:
I've never met you, so how would I know?
But the real question is. . .
Do you like ice cream?
Help me and my friend pls. Our teacher doesn’t explain anything-
Complete the equations with powers of 10.
Answer:
10³
10²
10¹
Step-by-step explanation:
411.92×1000=411,920
411.92×100=41,192
411.92×10=4,119.2
Answer:
10³
10²
10
Step-by-step explanation:
411.92 × 10³ = 411920
411.92 × 10² = 41192
411.92 × 10 = 4119.2
How did you decide where to place your line of best fit? Describe your reasoning.
Based on your data, describe the relationship between age and the number of U.S. states a person can name in 60 seconds.
Do you see any areas in your data or points that could be considered clusters or outliers? Explain your answer in complete sentences.
Trolls will be reported
Answer:So I don’t know the other 5 points because you didn’t give the data about the age and number of US states named in 60 seconds, but using the 5coordinate points you gave, I was able to make this line of best fit.
So basically the units are counting up by 5.
The x axis is age in years and y axis is the number of US states named in 60 seconds.
Since you didn’t give me the data to make the other 5 points, I can’t really answer the last question, but from the graph that I did make, there are no points that would be considered outliers, and there are no clusters in sight.
(BTW THIS IS IMPORTANT!! - when you use the data to add the other 5 points, there might be an outlier or more then one outlier. And there might be a cluster. Just look at it after you graph the last 5 and change the answer I gave you if there is an outlier or cluster)
Step-by-step explanation:
((Please help))
Sales Price $21, 30% off
Find Regular Price
Answer: Original/regular price= $30
Step-by-step explanation:
Make an equation
x(0.7)=21
(Why 0.7, because since it’s 30 percent off and every percent is 100 so your technically paying 70 percent of the regular price)
Simplify the equation:
21/0.7=30
X=30
Please helpp!! Ty ty!♡♡
Answer:
25
Step-by-step explanation:
4a +12 -2c + c
4( ) + 12 - 2( ) + ( )
4(4) + 12 - 2(3) + 3
16 + 12 - 6 + 3
28 - 6 + 3
22 + 3
25
Helping in the name of Jesus.
Therefore, 4a + 12 - 2c + c = 25
Step-by-step explanation:a = 4
c = 3
Swap letters for numbers:4a + 12 - 2c + c
(4)(4) + 12 - (2)(3) + 3
16 + 12 - (2)(3) + 3
28 - (2)(3) + 3
28 - 6 + 3
22 + 3 = 25
Draw a conclusion:
Hence your answer is:4a + 12 - 2c + c = 25
I hope this helps!
i need help with this this
5/2 is the ratio then im pretty sure the value is 1 whole or 8/8 i cant explain it but if you want to know how i got the answer Let me know
Step-by-step explanation:
A chef made 150 cups of chili and sold 60% of it. A serving size of the chili is 1 2/3 cups. How many servings of the chili were sold.
(Unit: expressions & equations)
150× 60% ÷ 1⅔
150×60/100 ÷ 5/3
15 × 6 ×3/5
3 × 18
54
54 servings of the chili were sold.
The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
A chef made 150 cups of chili and sold 60% of it. Then the number of cups of chili that he sold will be calculated as,
⇒ 60% of 150
⇒ 0.60 x 150
⇒ 90 cups
The serving size of the chili is 1 ²/₃ cups.
Convert the mixed fraction number into a fraction number, then we have
1 ²/₃ cups = 1 + 2/3
1 ²/₃ cups = 5/3 cups
Then the number of servings of the chili sold will be calculated as,
⇒ 90 / (5/3)
⇒ 90 x (3 / 5)
⇒ 18 x 3
⇒ 54
The number of cups of chili that he sold will be will be 90 cups. Then the number of servings of the chili sold will be 54.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
5 times increased by 4 is then divided by 2 and the result is 7. Please help me solve this! I know the answer is two I don't understand how to do it though! Thank you.