Answer:
904.8cm^3
Step-by-step explanation:
[tex] \frac{4}{3} \pi{(6)}^{3} \\ \frac{4}{3} \pi(216) \\ \frac{864}{3} \pi \\ 288\pi \\ 904.8 {cm}^{3} [/tex]
The volume of the sphere will be 904.32 cubic cm.
What is the volume of the sphere?Let r be the radius of the sphere. Then the volume of the sphere will be given as,
V = 4/3 πr³ cubic units
The radius of the sphere is 6 cm. Then the volume of the sphere is calculated as,
V = 4/3 x 3.14 x 6³
V = 904.32 cubic cm
The volume of the sphere will be 904.32 cubic cm.
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Name:
Date:
TRIGONOMETRIC IDENTITIES - DAY #1
ALGEBRA 2 WITH TRIGONOMETRY - HOMEWORK
Answer:
4567,4678..............
Evaluate what’s in the picture.
Answer:
8P3 = 336
9C4 = 126
Step-by-step explanation:
8P3 = 8! ÷ 5! = 8x7x6 = 336
9C4 = 9! ÷ (5!·4!) = (9x8x7x6) ÷ (4x3x2) = 126
Which phase change takes place when heat is removed from water?
A. Liquid to gas
B. Solid to liquid
C. liquid to solid
Answer:
I don't see an option Gas to liquid but the correct answer will be gas to liquid.
Explanation:
If u heat water will evaporate and form water vapour (gas form). Anytime heat is released from a gas, it will change forms to be a liquid. It is like reverse condensation.
3. Minimize P = 3x – 25y + 38 given the following constraints: y+ -44 144 - 98 < 70 12y - 6x > -36 > -6 The minimum is: at (
Answer:
-118 at (-2, 6)
Step-by-step explanation:
See the attached image of the graph! I used a piece of graph paper (and a ruler!) at first, because the graphing program I used was hard to follow in all the shading! The "feasible region" -- I'm assuming this is a linear programming problem is inside an irregular hexagon. I put big red dots on the corner points. Those points are:
(2, 2), (-2, 6), (-6, 4), (-6, -1), (-2, -4), (2, -2)
Plug these coordinates into the expression P = 3x - 25y + 38 to get a value at each of the corner points. Pick out the smallest value.
See the other attached image for those values.
Careful graphing is essential!
The number of manatee deaths along the Florida coast was recorded each year from 1977 to 1990. Below is a regression printout for number of deaths versus number of boats for each of the 14 years. Which of the following would give a 95% confidence interval for the slope of the regression line?Regression AnalysisThe regression equation isDeaths = - 41.4 + 0.125 BoatsPredictorCoefStdevt-ratiopConstant-41.4307.412-5.590.000Boats0.124860.012909.680.000s = 4.276 n = 15 R-sq = 88.6% R-sq(adj) = 87.7%0.125± 2.160(.013)0.125± 2.145(.013)0.125± 2.179(.013)0.125± 2.179(4.276)0.125± 2.145(4.276)
the anser is 333399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
A man buys a marker at Rs. 40 and sells it at Rs. 50. What is the profit percentage?
Answer:
may be 10%hope it helps uh
(Click on the picture to see question) please help me!
Hi there! Using one of the logarithmic property below:
[tex] \large \boxed{ log_{a}(b) = n \longrightarrow {a}^{n} = b}[/tex]
From the equation:
[tex] \large{ log_{2}(y) = x + 7}[/tex]
Therefore,
[tex] \large{ {2}^{x + 7} = y} \\ \large{y = {2}^{x + 7} }[/tex]
Answer
y = 2^(x+7) the second choice.A certain television station has been providing live coverage of a particularly sensational criminal trial. The station's program director wishes to know whether more than half the potential viewers prefer a return to regular daytime programming. A survey of randomly selected viewers is conducted. Let p represent the proportion of all viewers who prefer regular daytime programming. What hypotheses should the program director test to answer the question of interest
Answer:
H0 : p = 0.5
H1 : p > 0.5
Step-by-step explanation:
The the claim to test and determine if a signifant evidence for is if more than half of viewers want a return to original day time program. Since, this is
Since, p is the proportion who prefer the regular day time program;
The hypothesis to test is :
If p > 0.5 `; this represents the alternative hypothesis which we want to check if it we have significant evidence to adopt the claim.
The Null value on the other hand will take the a proportion equal to the p: and it is the initial truth until the alternative has a strong evidence to reject the null.
The null ;
H0 : μ = 0.5
Find the value for a,b,c,d
9514 1404 393
Answer:
B. a = 10√3, b = 5√3, c = 15, d = 5
Step-by-step explanation:
When you examine the angles of these triangles, you see that all of the triangles are 30°-60°-90° triangles, so ratios of corresponding sides are the same.
Examining the answer choices, you see that all of them agree that ...
a = 10√3, c = 15
Since b is the long leg of the smallest triangle, you know that b > d. This is only the case in answer choices B and D.
The leg marked 'a' is the long leg of the largest triangle, whose short leg is 10. That is the ratio of the longer to shorter legs is 10√3 : 10 = √3 : 1. The ratio of 'b' to 'd' needs to be the same, matching only answer choice B.
__
The ratios of the sides of a 30-60-90 triangle are 1 : √3 : 2. This tells you that ...
d = 10/2 = 5
c+d = 10×2 = 20 ⇒ c = 20 -5 = 15
b = 5√3
a = 10√3
As a check, c = b×√3 = (5√3)(√3) = 5·3 = 15. (matches above)
I need help doing my homework
Answer:
A= πr^2
45=πr^2
45/1 =22/7×r^2
45/1=22r^2/7 cross multiply
22r^2 ×1=45×7
22r^2=315 divide both sides by 22
22r^2/22=315/22
r^2=14.318
Area of triangle with sides a=8, b= 10, c=7
Answer:
d equal 10 this is the answer
If g(x) = 2 - 5x, what is the value of g(2) - g(5)?
Answer:
15
Step-by-step explanation:
the steps are in the pic above
An executive board consists of a president (P) and three vice-presidents ( V 1 , V 2 , V 3 ) . For a motion to pass it must have yes votes from three of the voting members, one of which must be the president's. A weighted system that could represent this situation is:_________
Answer:
[P, V1, V2]
[P, V1, V3]
[P, V2, V3]
Step-by-step explanation:
From the question, the executive board has 4 persons.
P = president
V1 = vice president 1
V2 = vice president 2
V3 = vice president 3
The president must be part of three members formed from these 4 to vote yes for a motion to pass
The weighted system can be represented as
[P, V1, V2]
[P, V1, V3]
[P, V2, V3]
These are the 3 possibilities.
which is equivalent to this equation
Answer:
The correct option is (b).
Step-by-step explanation:
We need to find the value of the given expression i.e.
3⁷ × 3⁻⁴
We know that, one of the property of exponent is:
[tex]x^{-a}=\dfrac{1}{a}[/tex]
So,
[tex]3^7\times 3^{-4}=3^7\times \dfrac{1}{3^4}\\\\=3^3\\\\=27[/tex]
Hence, the correct option is (b).
Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of the minor axis: (1, 7), (7, 7)
Answer:
The standard form of the ellipse is [tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex].
Step-by-step explanation:
The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:
[tex](h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)[/tex] (1)
If we know that [tex]V_{1} (x,y) = (4,0)[/tex] and [tex]V_{2}(x,y) = (4, 14)[/tex], then the coordinates of the center are, respectively:
[tex](h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)[/tex]
[tex](h,k) = (2,0) + (2, 7)[/tex]
[tex](h, k) = (4, 7)[/tex]
The length of each semiaxis is, respectively:
[tex]a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}[/tex]
[tex]a = 3[/tex]
[tex]b = \sqrt{(4-4)^{2}+(0-7)^{2}}[/tex]
[tex]b = 7[/tex]
The standard equation of the ellipse is described by the following formula:
[tex]\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the ellipse.
[tex]a[/tex], [tex]b[/tex] - Length of the orthogonal semiaxes.
If we know that [tex]h = 4[/tex], [tex]k = 7[/tex], [tex]a = 3[/tex] and [tex]b = 7[/tex], then the standard form of the ellipse is:
[tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex]
Jeremy is randomly selecting an outfit to celebrate Probability Day at his school. He can choose from a green (G) or purple (P) shirt, denim (D) or khaki (K) pants, argyle (A) or crew (C) socks, and boots (B), sneakers (S). What is the probability that Jeremy will select an outfit that includes flip-flops (F) and argyle (A) socks?
Answer all 4 for a nice brainliest
When 0.3(4x-8)-0.5(-2.4x+4) is simplified. What is the resulting expression?
Answer:
2.4x-4.4
Step-by-step explanation:
0.3(4x-8)-0.5(-2.4x+4)
DISTRIBUTE: 1.2x-2.4+1.2x-2
COMBINE LIKE TERMS: 2.4x-4.4
your answer is: 2.4x-4.4
help needed with math
Answer:
angle y = 49°
Step-by-step explanation:
If AB = AD and BC = DC, then the two triangles are isosceles triangles. The altitude from the top to the base divides the top angle into two equal angles, with 90° angles at the base. If angle C is divided into two equal angles (41°) and at the base is a 90° angle, that makes angle CBD 49°. On an isosceles triangle, the two angles opposite to the equal sides are identical. So angle y is identical to angle CBD.
Can someone help me?
Answer:
Second one: (1,2) (2,4) (3,6)
Step-by-step explanation:
y = 2x
2 = 1(2)
4 = 2(2)
6 = 2(3)
Answer:
(1,2),(2,4),(3,6)
Step-by-step explanation:
y = 2x
y = 2(1)
y = 2
y = 2x
y = 2(3)
y = 6
y = 2x
y = 2(2)
y = 4
x axis and y axis of each coordinate match with equation
Write the Plural! Spanish, help!!
31 more than a number is 12
Answer:
-19.
Step-by-step explanation:
-19+31 gets you 12.
Identify each triangle based on angles. (Acute, Obtuse or Right)please I don’t understand this
Answer:
45
Step-by-step explanation:
Answer:
2. right
3.obtuse
hope this helps
have a good day :)
Step-by-step explanation:
What is the differential means?
Answer:
Diffrence is the mean of differential
Factorise fully 12x + 18y
Answer:
6(2x + 3y)
Step-by-step explanation:
6 is the largest greatest common factor you can take out. As all powers are 1, nothing else can be done.
The factorize form of the expression 12x + 18y is 6(2x+3y)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 12x + 18y
Twelve times of x plus eighteen times of y
x and y are the variables in the expression
Let us factorize the expression
The Gcd of 12 and 18 is 6
So take 6 as common from the expression
6(2x+3y)
Hence, the factorize form of the expression 12x + 18y is 6(2x+3y)
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A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is
PA and B)?
Answer:
0.15
Step-by-step explanation:
a serving of crackers has 1.5 grams of fat. How many grams of fat are in 3.75 servings
Answer:
5.625
Step-by-step explanation:
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
5.625 grams of fat are in 3.75 servings.
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
What is a Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
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Find the median of the following numbers. 15, 28, 44, 42, 32, 48
Answer:37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
First, sort the data in increasing order.
15, 28, 32, 42, 44, 48
The number of data is even (there are 6 numbers), so there isn't one in the middle. In that situation, you average the middle 2 data (32 and 42).
(32 + 42)/2 = 74/2 = 37
If there IS a middle numbe, just use it.
Help me PLEASEEEEEEEEEEEEE
Answer:
D. 144
Step-by-step explanation:
find the volume of the shipping container and divide it by the volume of a box.
[tex]2\frac{2}{3}[/tex] × [tex]1[/tex] × [tex]2[/tex] = [tex]\frac{16}{3}[/tex]
[tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{27}[/tex]
[tex]\frac{16}{3}[/tex] divided by [tex]\frac{1}{27}[/tex] is 144.
2w+22=-6(w+7) what is the answer for w
Answer:
w=-8
Step-by-step explanation:
2w+22=-6(w+7)
2w+22=-6w-42
8w+22=-42
8w=-64
w=-8
Therefore, w=-8
Answer:
w = -8
Step-by-step explanation:
2w+22=-6(w+7)
2w+22 = -6w - 42
8w +22 = -42
8w = -64
w= -64/8
w = -8