Answer:
h= \(\frac{−2.094395r3+v}{1.047198r2}\)
Step-by-step explanation:
v=( \(\frac{1}{3}\) (3.141593))(r2)(2r+h)
Step 1: Flip the equation.
1.047198hr2+2.094395r3=v
Step 2: Add -2.094395r^3 to both sides.
1.047198hr2=−2.094395r3+v
Step 3: Divide both sides by 1.047198r^2.
h= \(\frac{−2.094395r3+v}{1.047198r2}\)
Answer:
\(h = \frac{3v - 2\pi \: r{ }^{3} }{\pi \: r {}^{2} } \)
Step-by-step explanation:
Step 1 add -2/3Πr^3 to both sides
v + -2/3Πr^3 = 1/3hpr^2 + 2/3Πr^3 + -2/3Πr^3
Step 2 divide both sides by (Πr^2)/3
(v + -2/3Πr^3)/(Πr^2)/3 = (1/3hΠr^2)/(Πr^2)/3
(3v - 2Πr^3)/Πr^2 = h
hope this helps....
Solve the triangle MNO
NEED ASAP
Answer:
Set your calculator to Degree mode.
The measure of angle O is 56°.
tan(34°) = ON/12
NO = 12tan(34°) = 8.09 cm
cos(34°) = 12/MO
NO = 12/cos(34°) = 14.47 cm
Hiiooo! Could someone please help me❤️❤️❤️I really need it❤️Much love:)
-Boopy
Answer:
Since the trianges are similar
then:
E = J = 90°F = L = 65°G = K = 180-90-65 = 25°Find the value of the expression
5
×
7
−
4
×
4
.
A.
−
45
B.
19
C.
60
D.
124
Answer:
19
Step-by-step explanation:
5*7 - 4*4
PEMDAS says multiply and divide first
35 - 16
Then add and subtract
19
Answer:
19 hope this helps ☜(⌒▽⌒)☞☜(゚ヮ゚☜)
Step-by-step explanation:
find the exact length of the curve.x = 1/3 √y (y - 3), 16 ≤ y ≤ 25
The length of the curve x = 1/3 √y (y − 3) is 64/3.
What is arc length?The distance between two point along a segment of a curve is known as the arc length.
The equation of the curve is given by:
x = 1/3 √y (y − 3), 16 ≤ y ≤ 25
Length of the curve y = f(x) between point x =a to x = b is given by:
\(\int\limits^b_a {\sqrt{1+[f'(x)]^2} } \, dx\)
√1 + [f′(x)]2 dx.
x = 1/3 √y (y − 3)
x = 1/3 * \(y^\frac{3}{2}\) - \(y^\frac{1}{2}\)
Let's find the first derivative of x.
dx/dy = 1/3. 3/2. \(y^\frac{1}{2}\)- 1/2 . \(y^\frac{1}{2}\)
dx/ dy = 1/2 ( \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))
(dx/dy)^2= 1/4 ( \(y^\frac{1}{2}\) - \(y^\frac{-1}{2}\))^2
= 1/4(y + \(y^-^1\)-2)
1 + {f′(x)}2 = 1 + 1/4(y +\(y^-^1\)-2)
= 1/4 y + 1/4\(y^-^1\)+ 1/2
1 + {f′(x)}2= 1/4 (y + \(y^-^1\) + 2)
√[1 + {f′(x)}2] = 1/2 ( \(y^\frac{1}{2}\) + \(y^\frac{-1}{2}\))
Length of curve is given by:
25
∫ \(\frac{\sqrt{y} }{2} +\frac{1}{2\sqrt{y} }\) dy
16
= \(\left \{ {{y=25} \atop {x=16}} \right.\) [\(y^\frac{3}{2}\)/3 + √y]
= [(25)3/2 /3 + √25] - [(16)3/2 /3 + √16]
= [125/3 + 5] - [64/3 + 4]
= 140/3 - 76/3
= (140 - 76)/3
= 64/3
So the length of the curve is 64/3
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Which is the equation of a parabola with vertex (0, 0), that opens to the left and
has a focal width of 12?
a. y2 = 12x
b. y2 = -12x
c.x = 12y
d. x = -12y
Answer:
Step-by-step explanation:
I'm going to guess that the square exponents are on the top y's only? then answer b) looks good
Answer:
b. y^2 = -12x
Step-by-step explanation:
The general form for the given parabola is y^2 = -4ax where the focus is at (-a, 0). The focal width is 4a which in this case = 12.
Find LK if JL=20 and JK=40
Answer:
is the answer 30?
Step-by-step explanation:
in JL, L alone is 10, and JL is a combined total. And in JK, K alone is 20.
So wouldn't the answer be 30 if you add up L and K?
HELPP!! PLS PLS
can someone show me a graph of a line going through (-1,2) with a slope of -3/4
Answer:
We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.
Hope this helps!
Here is the diagram:
1% of what number is 3?
Answer:
3 is 1% of 300.
Step-by-step explanation:
100 x 0.01 = 1
Therefore...
300 x 0.01 = 3
I hope this helped you! If it did, please consider rating my answer, pressing thanks, and marking as Brainliest. Have a great day!
Answer:
300
Step-by-step explanation: 3 divided by 1% (0.01) equal 300. To check, 1% of 300 is 3
One angle of a triangle is three times as large as another. The measure of the third angle is 80° more than that of the smallest angle. Find the measure of each angle.
The measure of the smallest angle is.
Answer: Let x be the measure of the smallest angle in the triangle. Then we have:
One angle is three times as large as another, so the second angle is 3x.
The third angle is 80° more than the smallest angle, so it is x + 80.
The sum of the angles in a triangle is always 180°, so we can write an equation:
x + 3x + (x + 80) = 180
Simplifying and solving for x, we get:
5x + 80 = 180
5x = 100
x = 20
Therefore, the smallest angle in the triangle is x = 20 degrees, the second angle is 3x = 60 degrees, and the third angle is x + 80 = 100 degrees.
Step-by-step explanation:
a recipe calls for 5/8 cup of sugar for every 5 teaspoons of vanilla. what is the unit rate in cups per teaspoon
Answer:
1/8 cups per teaspoon
Step-by-step explanation:
5/8 cup sugar per 5 teaspoons of vanilla
(5/8 ) divide in 5 will give us how much per 1 teaspoon
(5/8)/5 = (5/8) * (1/5) = 5*1/ 8*5 = 1/8
choose the table thst represents g(x) =-2•f(x) when f(x) = x +4
Answer:
c
Step-by-step explanation:
x=1 g(x)=-10
x=2 g(x)=-12
x=3 g(x)=-14
f(x)=x+4
=> g(x)=-2·(x+4)
A spinner has six sections: two sections are labeled a comma two sections are labeled B, and two sections are labeled see?
a. what is the sample space for the spinner?
b. what is the probability of spinning and landing on it?
Answer:
Step-by-step explanation:
a. The sample space for this spinner would be A, B or C . Since these are the only possible outcomes in this specific spinner.
b. The spinner has a total of 6 sections but each letter has 2 sections dedicated to it. Therefore, this makes only 3 possible outcomes in which the spinner will only land on 1. This means that the probability of each letter would be 1/3
The angle measure of a triangle is shown in the diagram, what is Twh value of x?
Answer:
\(x = 28\)
Step-by-step explanation:
\(50 + (2x) + (3x - 10) = 180\)
\(180-50=130\)
\((2x) + (3x - 10) = 130\)
\(5x - 10 = 130\)
\(5x = 130 + 10\)
\(5x = 140\)
\( \frac{5x}{5} = \frac{140}{5} \)
\(x= \frac{140}{5} \)
\(x = 28\)
I need a tutor very smart to answer this question
Given the expression :
\(\frac{1}{3}b+\frac{2}{3}b-\frac{5}{6}(b+1)=?\)The expression will be equal:
\(\begin{gathered} \frac{1}{3}b+\frac{2}{3}b-\frac{5}{6}b-\frac{5}{6} \\ \\ =(\frac{1}{3}b+\frac{2}{3}b-\frac{5}{6}b)-\frac{5}{6} \\ \\ =\frac{1}{6}b-\frac{5}{6} \end{gathered}\)so, the answer is option 4)
\(\frac{1}{6}b-\frac{5}{6}\)Which choice represents the fraction below as a single exponential
expression?
88
O A.
(3)
OB. 811
O C. 3
OD. 85
Answer:
8^5
Step-by-step explanation:
division is just minusing exponents
The correct value of this expression is 8⁵
A fraction is also a division. When we divide power with equal bases - we subtract the exponents and keep the base.
Resolution = 8⁸/8³= 8⁸÷³= 8⁵Therefore, the answer correct is 8⁵
what is first four components in the alphabet word
Answer:
Letter recognition, Letter naming, Letter sound knowledge, Letter writing
ur environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.5 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 26 samples is 5.8 ppm with a variance of 0.36. Assume the population is normally distributed. A level of significance of 0.01 will be used. Find the value of the test statistic. Round your answer to two decimal places.
The value of the test statistic is approximately 2.54.
To find the value of the test statistic, we can use the formula for calculating the test statistic for a single-sample hypothesis test for the population mean. The formula is:
t = (\(\bar x\) - μ) / (s / √n)
Where:
\(\bar x\) is the sample mean,
μ is the population mean,
s is the sample standard deviation,
n is the sample size.
Given information:
Sample mean (\(\bar x\)) = 5.8 ppm
Population mean (μ) = 5.5 ppm
Sample variance (σ^2) = 0.36 ppm^2
Sample size (n) = 26
To calculate the sample standard deviation (s), we take the square root of the sample variance:
s = √(σ^2)
s = √(0.36)
s = 0.6
Now we can calculate the test statistic (t):
t = (5.8 - 5.5) / (0.6 / √26)
t = 0.3 / (0.6 / √26)
t = 0.3 / (0.6 / 5.099)
t = 0.3 / 0.118
t ≈ 2.54 (rounded to two decimal places)
Therefore, the value of the test statistic is approximately 2.54.
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anna charges $45 for the bracelets she sells at her boutique. it cost her $16 to make the bracelets. which is closest to the percent markup cost
The closest percent markup cost to the bracelets Anna sells is 181%.
To determine the percent markup cost for the bracelets Anna sells, we need to calculate the difference between the selling price and the cost price, and then express it as a percentage of the cost price.
The selling price of the bracelets is $45, and the cost price is $16.
Markup = Selling Price - Cost Price
= $45 - $16
= $29
Now, to calculate the percent markup cost, we divide the markup by the cost price and multiply by 100:
Percent Markup Cost = (Markup / Cost Price) \(\times\) 100
= ($29 / $16) \(\times\) 100
= 181.25
Rounded to the nearest whole number, the percent markup cost is approximately 181%.
Therefore, the closest percent markup cost to the bracelets Anna sells is 181%.
This means that Anna is charging customers approximately 181% more than what it cost her to make the bracelets.
The markup cost represents the additional amount she adds to cover expenses, overhead, and to make a profit.
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X
Solve = -13 for x.
-12
O A. x = 156
OB. x= -132
O C. x = 132
OD. x= -156
Value of x is 156 in inequality.
What is a mathematical inequality?
The equation-like shape of the formula 5x 4 > 2x + 3 is maintained despite the arrowhead in place of the equals sign. It serves as a symbol of unfairness. According to the equation, this demonstrates that the left component, 5x 4, is larger than the right component, 2x + 3.
An inequality in mathematics is a comparison between two numbers or other mathematical expressions that is done in an unfair manner. It is typically used to contrast the dimensions of two numbers on a number line.
X = -13 * -12
X = 156
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find the parametric equation for the part of sphere x^2 + y^2 + z^2 = 4 that lies above the cone z = √(x^2 + y^2)
The parametric equation for the part of the sphere x^2 + y^2 + z^2 = 4 that lies above the cone z = √(x^2 + y^2) can be expressed as follows:
x = 2cos(u)sin(v)
y = 2sin(u)sin(v)
z = 2cos(v)
Here, u represents the azimuthal angle and v represents the polar angle. The azimuthal angle u ranges from 0 to 2π, covering a complete circle around the z-axis. The polar angle v ranges from 0 to π/4, limiting the portion of the sphere above the cone.
To obtain the parametric equations, we use the spherical coordinate system, which provides a convenient way to represent points on a sphere. By substituting the expressions for x, y, and z into the equations of the sphere and cone, we can verify that they satisfy both equations and represent the desired portion of the sphere.
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A study was conducted about the number of miles that a sample of automobiles in New York City drive within a year. The sample was taken in front of an apartment complex and included 20 taxicab drivers and 40 of the building’s residents. Which is a reasonable explanation for the large gap in the histogram?
The histogram includes data from a voluntary response sample which is not representative of the population.
How to interpret Histograms?
A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.
From the histogram attached, we can see that there is a huge gap from around 17000 miles to 32500 miles.
Now, when we have this kind of gap it means that the histogram includes data from a voluntary response sample which is not representative of the population.
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determine the values of a,c,b for the quadratic equation x²-8x+15
A) a=1 b=-8 c=-15
B) a=0 b=-8 c=15
C) a=1 b=-8 c=15
D) a=1 b=8 c=15
Answer: a= 1 b=-8 c=15
Step-by-step explanation:
A is the number before \(x^{2}\)
B is the number (including the sign) before X
c is the number without a variable
Write the ratio using fractional notation.
8 to 9
Answer:
Step-by-step explanation:
The GCF of 8 and 9 is 1
Divide both terms by the GCF, 1:
8 ÷ 1 = 8
9 ÷ 1 = 9
The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :
This ratio is already in lowest terms.
Therefore:
8 : 9 = 8 : 9
What are the restricted values for x2−3x−2−4y⋅2x−2−xy2+2y2?
The restricted values in (x^2 - 3x - 2)/-4y * (2x - 2)/(-xy^2 + 2y^2) are x ≠2 and y ≠ 0
How to determine the restricted values for the function?The complete question is added as an attachment
The equation is given as:
(x^2 - 3x - 2)/-4y * (2x - 2)/(-xy^2 + 2y^2)
Set the products of the denominators to 0
-4y * (-xy^2 + 2y^2) = 0
Split the equation
-4y = 0 or (-xy^2 + 2y^2) = 0
Remove the bracket
-4y = 0 or -xy^2 + 2y^2 = 0
Divide both sides by -4 in -4y = 0
y = 0
Factor out y^2 in -xy^2 + 2y^2 = 0
y^2(-x + 2) = 0
This means that y^2 = 0 or -x + 2= 0
This gives y = 0 or -x + 2 = 0
Solve for x in -x + 2 = 0
x = 2
Hence, the restricted values in (x^2 - 3x - 2)/-4y * (2x - 2)/(-xy^2 + 2y^2) are x ≠2 and y ≠ 0
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Humberto evaluates the expression 4t 2 for t = 3. He correctly substitutes 3 for t in the expression, but then says that the value is 144. Fill in the blanks to explain Humberto’s error
The correct value of the expression is 36.
What is Expression?An expression is combination of variables, numbers and operators.
Given that Humberto evaluates the expression 4t² for t = 3.
He correctly substitutes 3 for t in the expression, but then says that the value is 144.
Humberto solution has an error the correct answer should be 36.
Humberto first multiplied 4 by 3 to get 12, then he multiplied 12 by itself to get 144.He should have first multiplied 12 by itself then he should multiplied the result 9 by 4.
The correct value of the expression is 36.
Hence, the correct value of the expression is 36.
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Can someone help me with this?
Answer:
Hypotenuse is always the longer side (Braniest pls :3)
The opposite side is the side that is directly in front of or behind of the hypotenuse
The adjacent side is the side that's adjacent to the opposite side
Step-by-step explanation:
a convex pentagon has interior angles with measures $x 1$, $2x$, $3x$, $4x$, and $5x-1$ degrees. what is the measure of the largest angle?
The largest angle is $5^{th}$ angle which has a measure of $179.33$ degrees.
In a convex pentagon, the sum of all interior angles is equal to 540 degrees. Therefore, we can write the following equation:
$$x+2x+3x+4x+5x-1=540$$
Simplifying the equation, we get:
$$15x-1=540$$
$$15x=541$$
$$x=36.07$$
Now that we know the value of x, we can find the measure of each angle:
$1^{st}$ angle: $x=36.07$ degrees
$2^{nd}$ angle: $2x=72.14$ degrees
$3^{rd}$ angle: $3x=108.21$ degrees
$4^{th}$ angle: $4x=144.28$ degrees
$5^{th}$ angle: $5x-1=179.33$ degrees
Therefore, the largest angle is $5^{th}$ angle which has a measure of $179.33$ degrees.
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please help me due today aslo will mark branliest for correct answer
What is the expression in radical form?
(5ab) =
○ √√25a²b²
O√√5a²b²
O √5a³b3
O √125a³b3
The radical form of the expression (5ab)\(^\frac{3}{2}\) is √(125 a³b³).
What does radical form mean?Simply put, simplifying a radical eliminates the need to find any more square roots, cube roots, fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.
What in mathematics is radical form?The sign used to represent the square root or nth root. Square-root-containing expressions are known as radical expressions.
According to the given data:Radical equation = b\(\frac{m}{n}\)
= \(\sqrt[n]{b^m}\)
So,
(5ab)\(^\frac{3}{2}\) = \(\sqrt[2]{5^3}\)
\(\sqrt[2]{5^3}\) a³ b³
5³ = 125
√(125 a³b³)
The radical form of the expression (5ab)\(^\frac{3}{2}\) is √(125 a³b³).
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A triangle has squares on its three sides as shown below. What is the value of x?
Three squares having side lengths 6 cm, x cm, and 8 cm joining to form right triangle at the centre
To find the value of x in the given scenario, we can apply the Pythagorean theorem, the value of x is 2√7 cm
To find the value of x in the given scenario, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the sides of the right triangle are the lengths of the squares, which are 6 cm, x cm, and 8 cm. We can set up the equation using the Pythagorean theorem as follows:
6^2 + x^2 = 8^2
Simplifying the equation, we get:
36 + x^2 = 64
Subtracting 36 from both sides, we have:
x^2 = 28
Taking the square root of both sides, we find:
x = √28 = 2√7
Therefore, the value of x is 2√7 cm.
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