9514 1404 393
Answer:
h = 3V/(πr²)
Step-by-step explanation:
The formula can be solved for h by multiplying both sides by the inverse of the coefficient of h.
[tex]V=\dfrac{1}{3}\pi r^2h=\dfrac{\pi r^2}{3}h\\\\(\dfrac{3}{\pi r^2})V=(\dfrac{3}{\pi r^2})(\dfrac{\pi r^2}{3})h\\\\\boxed{\dfrac{3V}{\pi r^2}=h}[/tex]
_____
Additional comment
Whenever a variable has a coefficient you don't want, you can make that be 1 by multiplying the equation by the inverse of the coefficient. This is the same as dividing by the coefficient. This makes use of the fact that for any non-zero 'a', the ratio a/a has a value of 1. Anything multiplied by 1 is unchanged.
V = ah ⇒ V/a = (ah)/a = h(a/a) = h·1 = h
Note that we multiply the whole equation (both sides of the equal sign) by 1/a. The basic rule of equality is that you can do whatever you like to an equation, as long as you do it to both sides.
which equation can be used to solve for x in the following diagram?
Answer:
A
Step-by-step explanation:
We know that it is A because the two smaller angles are being added, and we know the sum is 90 degrees. The only equation that satisfies both of these is A.
Answer:
A
Step-by-step explanation:
because it is a right angled
Evaluate the expression: p(6 – n) – m ÷ 5 Use m = 5, n = 2, and p = 4
Answer:
15
Step-by-step explanation:
m = 5, n = 2, and p = 4
Substituting the values in the equation p(6 – n) – m ÷ 5 ,
4(6-2) - 5/5
4(4) - 1
16 - 1
=> 15
The volume of a cylinder is 64 cubic feet, and the height of the cylinder is 8 feet. What is the radius of the cylinder?
Answer:
V = pi R^2 * h volume of cylinder (area of base * height)
pi R^2 = 64 / 8 = 8
R^2 = 8 / pi = 2.865
R = 1.69 ft
use the substitution method to solve the sstem of equations choose the correct ordered pair 2x-y=10 and 2x-2y=4
Answer:
(8, 6)
Step-by-step explanation:
2x - y = 10
2x - 2y = 4
=>
x - y = 2
x = y + 2
we put that into the first equation
2×(y+2) - y = 10
2y + 4 - y = 10
y + 4 = 10
y = 6
=>
x = y + 2 = 6 + 2 = 8
so, we have a ordered pair (x, y) = (8, 6)
What is this number sentence equal to?
If you could help, thank you so much!
Answer:
18.63
Step-by-step explanation:
[tex] \frac{6}{10} = 0.6 \\ \frac{3}{100} = 0.03[/tex]
[tex]10 + 8 + 0.6 + 0.03 = 18.63[/tex]
Madison lives between Anoa and Jamie as depicted on the line segment. The distance between Anoa's house and Madison's house is represented by 3x+2 miles, the distance between Madison's house and Jamie's house is represented by 3x+4 miles, and the distance between Anoa's house and Jamies house is represnted by 9x-3 miles. Find the value of x. Then find the distance between Madison's house and Jamie's house.
Answer:
x = 3
13 miles between Madison and Jamie's house.
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house, then we get the total distance between Anoa's and Jamie's house.
(3x + 2) + (3x + 4) = 9x - 3
Let's add up the terms first
3x + 2 + 3x + 4 = 9x - 3
6x + 6 = 9x - 3
Let's move the variables to the right side by subtract 6x from both sides
6x + 6 = 9x - 3
-6x -6x
6 = 3x - 3
Add 3 to both sides
6 = 3x - 3
+3 +3
9 = 3x
Isolate the variable, x, by dividing both sides by the coefficient, 3.
9/3 = 3x/3
x = 3
Now we need to find the distance between Madison's and Jamie's house.
3x + 4
Plug in 3 in place of the x
3(3) + 4
9 + 4 = 13
Answer:
Step-by-step explanation:
If we add the distance between Anoa's and Madison's house with the distance between Jamie's and Madison's house,then we get the total distance between anoa's and Jamie's house.
Help! given 2(x-9)=-10 prove x=4 with statements and reasons
Step-by-step explanation:
Proof:
2 ( x - 9) = - 10 when x = 4
2 ( 4 - 9) = -10
8 - 18 = -10
-10 = -10 ..........hence proven
Reasons
- When you replace X with 4, you can clearly see that the equation is equal to -10.
sorry I couldn't answer accurately, but I hope this helps
6 ice cream cones cost $10. How much will 9 cost?
Answer:
15 dollars
Step-by-step explanation:
We can write a ratio to solve
6 cones 9 cones
------------ = --------------
10 dollars x dollars
Using cross products
6*x = 10 *9
6x = 90
Divide each side by 6
6x/6 = 90/6
x = 15
6x - 2 < 5x + 7
I DID THIS AND GOT -9 BUT THE ANSWER IS 9 WHAT DID I DO WRONG
Answer:
The answer is 9.
Step-by-step explanation:
6x - 2 < 5x + 7
6x - 5x < 7 + 2
x < 9
Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help
anyways, I subscribed to brainly plus
your answer will be deleted immediately if you don't answer it correctly
let x be the number:
first number xsecond number x+1third number x+2Illustration:(1st)² + (2nd)(3rd) = 46x² + (x+1)(x+2) = 46Solution:x² + (x + 1) (x + 2) = 46x² + x² 3x + 2 = 462x² + 3x = 2 - 46 = 02x²+3x - 44 = 0x - 4 = 0 2x + 11 = 0x = 4 2x = -11x = -11/21st = 4
2nd = 4+1 = 5
3rd = 4+2 = 6
Checking:4²+(5)(6) = 4616+30 = 4646 = 46Answerthe numbers are 4, 5 and 6HOPE THIS HELPS. GOODLUCK:)
Are these answers correct? Thxxx
m3+ 3 m3 + 4 m²
simplify
Answer:
[tex] {m}^{3} + {27}^{m} + 4 {m}^{2} [/tex]
Step-by-step explanation:
[tex] {m}^{3} + {3}^{m 3} + 4 {m}^{2} [/tex]
[tex] {m}^{3} + {3}^{m \times 3} + 4 {m}^{2} [/tex]
[tex] {m}^{3} + {3}^{3m} + 4 {m}^{2} [/tex]
[tex] {3}^{3m} = ({3}^{3} {)}^{m} = {27}^{m} [/tex]
➡️ [tex] {m}^{3} + {27}^{m} + 4 {m}^{2} [/tex]
In store A: A box of cotton candy costs 1 dollar, 12 boxes cost 12 dollars. In store B: 12 boxes cost 48 dollars. How much does each box cost in store B?
Answer:
$4Step-by-step explanation:
To find the cost of each box divide the total cost by the number of boxes:
48/12 = 4In store A:
→ A box of cotton candy cost = $ 1
→ 12 boxes cost = $ 12
In store B:
→ 12 boxes cost = $ 48
Now we have to,
find the cost of each box in the store B.
→ Total cost in B ÷ Total boxes in B
→ 48 ÷ 12 = 4
So, $ 4 is cost of each box in store B.
Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.
Answer: f(g) = 895 + 30g
-----------------------------------------------------------------
He paid $2065. Number of games he played:
-----------------------------------------------------------------
2065 = 895 + 30g
30g = 2065 - 895
30g = 1170
g = 39
-----------------------------------------------------------------
Answer: He played 39 games.
Step-by-step explanation:
Number of games anton played is 39; the equation is 2065 = 895 + 30G
How to find the system of equations needed to solve an equation?An equation usually consists of equality of two mathematical expressions. Let it be
A = B
. If we take them to be equal to third variable, then:
A = B = C
type of equation is obtained.
We can then take it as system of two equations as:
A = C\\ B=C
Solution to this system will give us the solution to the considered equation.
Solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.
The equation will be f(g) = 895 + 30G
Amount anton paid = $2065.
Number of games he played;
2065 = 895 + 30G
30g = 2065 - 895
30g = 1170
G = 39.
Therefore, the solution of the equation os 39
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age at BBM 2019 Question Group 'A Brief answer questions; 1. Integrate the following: S(ax? + 2bx + c)3/2(2xa + 2b) dx 2.
If the integral is
[tex]\displaystyle \int (ax^2+2bx+c)^{3/2}(2ax+2b)\,\mathrm dx[/tex]
substitute [tex]u = ax^2+2bx+c[/tex] and [tex]\mathrm du=(2ax+2b)\,\mathrm dx[/tex]. Then you end up with
[tex]\displaystyle \int u^{3/2}\,\mathrm du = \frac25u^{5/2} + C[/tex]
which in terms of x is
[tex]\boxed{\dfrac25(ax^2+2bx+c)^{5/2} + C}[/tex]
Does this picture indicate that < JAC =
Answer:
No
Step-by-step explanation:
<JAC = 93
< DBE = 90
The two angles are not equal
What is 1 1/2 + 3/16
If several points are graphed on a number line, is the point that is the farthest from 0 always the greatest?
Answer:
If several points are graphed on a number line, the point that is farthest from 0 need NOT be always greater. Consider x axis, our Real number line. We can traverse in positive number direction and negative number direction.
mark me at brainlist
Answer:
No
Step-by-step explanation:
Can someone explain this and answer please :)
Answer:
day 8
Step-by-step explanation:
the rate of change is 2 (x2) which is making the amount saved double each day you can write a formula to represent this sequence:
f(n)=0.01x2^n-1
you put in the day number for n
f(n)=0.01x2^8-1
this gives you 1.28 which is the first day with an amount above 1.00
Explain how you would go about factoring the following?
3x^2 +17x-28
Answer:
[tex](x + 7) \times (3x - 4)[/tex]
Step-by-step explanation:
[tex] {3}^{2} + 17x - 28[/tex]
[tex]3 {x}^{2} + 21x - 4x - 28[/tex]
[tex]3 \times x(x + 7) - 4x - 28[/tex]
[tex]3x \times ( x + 7) - 4(x + 7)[/tex]
[tex](x + 7) \times (3x - 4)[/tex]
11. The news reports that today's high temperature is 16°F colder than
yesterday's high temperature. Yesterday's high temperature was -2°F.
a. Write an expression to represent today's high temperature.
b. Reasoning is today's high temperature positive or negative? Why?
The expression to represent today's temperature is given by
- 2°F - 16°F = - 18°F and todays high temperature is negative as the
temperature is colder.
Temperature is a numerical expression of how hot a substance or radiation is.
There are three different types of temperature scales: those that are defined by the average translational kinetic energy per freely moving microscopic particle, like an atom, molecule, or electron, in a body, like the SI scale. Those that rely only on macroscopic properties and thermodynamic principles, like Kelvin's original definition of temperature. Those that are not defined by theoretical principles but rather by useful empirical properties of particulate matter.The temperature yesterday was -2°F . The temperature is colder today and by 16°F more cold.
Since colder temperature is denoted by negative sign and hotter temperature by the positive sign then when the temperature is colder today then we have to subtract the values to the given values.
Hence - 2°F - 16°F = - 18°F .
So todays high temperature will be a negative value.
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What is the slope of the line represented by the equation y = 4/5x-3?
Answer:
The slope is 4/5
Step-by-step explanation:
The slope in a y=mx+b equation is always in front of the x. Remember that! :)
Step-by-step explanation:
4/5.
this equation is slope in intercept form following the template of y=mx+b .m is your slope and by looking at the corresponding part tell you 4/5 is the slope
23/89 ÷ 19/90
whoever got it right with explanation will be mark as brainliest.
Answer:
1.22
Step-by-step explanation:
89/23=3.87
90/19=4.74
4.74/3.87=1.22
Or
3.87/4.74=0.82
Hope I got it
Answer:
[tex] \frac{2070}{1691} [/tex]
Step-by-step explanation:
[tex] \frac{23}{89} \div \frac{19}{90} [/tex]
➡️ [tex] \frac{23}{89} \times \frac{90}{19} [/tex]
➡️ [tex] \frac{23 \times 90}{89 \times 19} = \frac{2070}{89 \times 19} [/tex]
➡️ [tex] \frac{2070}{1691} [/tex] ✅
Solve 6(x - 3) = 11x +7
Answer:
x = -5Step-by-step explanation:
Given,
6(x-3) = 11x + 7
=> 6x - 18 = 11x + 7
=> 11x - 6x = -18 - 7
=> 5x = -25
[tex] = > x = \frac{ - 25}{5} [/tex]
=> x = -5 (Ans)
[tex]\large\bf{\red{ \bullet}} \: \tt \:\: 6(x - 3) \: = \: 11x + 7[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \:\:6x \: - \: 18 \: = \: 11x \: + \: 7[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \:\: - 7 \: \: - 18 \: = \: 11x \: - \: 6x[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \: \: - 25 \: = \: 5x[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \: \cancel\frac{-25}{5} \: = \: x[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \: - 5 \: = \: x[/tex]
[tex]\large\bf{\red{ \bullet}} \: \tt \: \: x \: = \: - 5[/tex]
How are angles 1,2,3,4 related in the trapezoid
Answer:
The degree measure of the four add up to 360 degrees. This is actually true of any quadrilateral. Let lower case letter a,b,c and d represent the angle of trapezoid ABCD. Then a+b+c+d= 360 degreees.
Find the distance between the points (3, –8) and (0, –9).
A. 3.16
B. 17.26
C. 2.98
D. 1.06
Answer:
a. 3.16
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[-9 - (-8)]² + (0 - 3)²
√(-1)² + (-3)²
√(1) + (9)
√(10)
= 3.16
iwidncuhbcffbhbhvfrhur3huivr4hiuvriuvfruvfiuvfjivfrjiovrjiovfriojvrfjiovfiovrfmvr mkormkvmkvkmorbemoivbe
Answer:
3.14159265358979
Step-by-step explanation:
Express the limit as a definite integral on the given interval.
n
lim Σ
n→[infinity] n i = 1 [3(xi*)3 − 7xi*]Δx, [2, 5]
9514 1404 393
Answer:
[tex]\displaystyle\int^5_2 {(3x^3-7x)} \, dx[/tex]
Step-by-step explanation:
The interval of interest becomes the limits of integration. ∆x becomes dx, and the xi are replaced by the variable of integration, x.
Is 1.0227 a rational number? Explain
Answer:
NO
Step-by-step explanation:
xbsndjejejxkxkekejejejejs
Answer:
The decimal 1.0227 is a rational number. First of all, it is a terminating decimal, which means that the decimal has a definite ending point.
Step-by-step explanation:
WHY DOES NO ONE ANSWER MY QUESTIONS?? Its kinda annoying that i answer others' questions but no one answers mine. Well if anyone feels like helping me heres my question:
A mathematician reported the results from a particular experiment to the researcher who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.21. Based on this p-value, what should the researcher conclude?
The test was not statistically significant because 2 × 0.21 = 0.42, which is less than 0.5.
The test was statistically significant because a p-value of 0.21 is greater than a significance level of 0.05.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.
The test was statistically significant because p = 1 − 0.21 = 0.79, which is greater than a significance level of 0.05.
Answer:
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.
Step-by-step explanation:
This is the right answer,since this result is only observed 21% of the time, so in general it's not significant, so the first 2 are eliminated. The 2 x 0.21 doesn't matter since, the percent is 21% not 42%, so it doesn't even matter. The last question we eliminate is:"The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 79% of the time" 79% of the time is a pretty good amount to say it's significant, but it only says 21% of the time.So, it leaves us with:The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 21% of the time.
Hope this helps lol (: is this a psat or somethin?