Answer:
[tex]\frac{500}{3}\pi[/tex]
Step-by-step explanation:
The equation for Volume of a Sphere is:
[tex]V=\frac{4}{3}\pi r^3[/tex]
We can plug in the given radius into the equation:
[tex]V=\frac{4}{3}\pi5^3=\frac{4}{3}\pi125=\frac{500}{3}\pi[/tex]
Write 6.38 times 10 to the power of -5 as a ordinary number
Answer:
0.0000638
Step-by-step explanation:
all you need to do is move the decimal point over 5 times but this will only work if your multiply by 10 and that it has a negative exponent
The number 6.38×10⁻⁵ written in ordinary form is 1/638000.
What is scientific notation?In scientific notations numbers are written in the form of a base that is
0 ≤ b < 10 and multiplied by 10ⁿ where n represents integers.
We write large standard numbers in scientific form in a compact manner.
Given, A number in scientific form as 6.38×10⁻⁵.
Now, We know an exponent must be written as a positive value.
Therefore,
6.38×10⁻⁵.
= 1/ 6.38×10⁵.
Now, The ordinary form of the number is when we write without the exponent.
So,
1/ 6.38×10⁵ is,
= 1/638000.
learn more about scientific notation here :
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Can someone help me please? Thank you.
Answer:
(2,2)
Step-by-step explanation:
x + 6y = 14
-3x + 5y = 4
x + 6y = 14
subtract 6y from both sides
x = 14 - 6y
-3(14 - 6y) + 5y = 4
-42 + 18y + 5y = 4
add 42 to both sides and simplify
23y = 46
y = 2
x = 14 - 6y
x = 14 - 6(2)
x = 14 - 12
x = 2
find the value of x in the figure.
Answer:
50°
Step-by-step explanation:
The blue lines form a Right-angled triangle.
*Such triangles have one angle equal to 90°.*
*Property*
Sum of all angles in a triangle = 180°
To find :
Value of x – an angle of the right-angled triangle.
Solution:
==> 90 + 40 + x = 180
==> 130 + x = 180
isolating x
==> x = 180 - 130
==> x = 50°
Please I am not sure If i am correct
Answer:
You're correct
Step-by-step explanation:
Solve using FOIL
(x-3)(x+10)
x²+10x-3x-30
x²+7x-30
That's the same as the equation in the beginning, so you are right.
In the past year Manuel watched 64 movies that he thought were very good. He watched 80 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?
Answer:
80%
Step-by-step explanation:
64/80 is 0.8, 0.8 is equivalent to 80%
tell me if this is wrong please
Marcus ran 45 days to prepare for a race. One-third of those days he ran on a track. How many days did he NOT run on a track?
Answer:
30
Step-by-step explanation:
45/3=15
15 days on track
30 days not on track
What is the value of the function when x=5 f(x) = x-5
Answer:
When x=5, f(x)=0
Step-by-step explanation:
[tex]f(x)=x-5\\\\f(5)=5-5\\\\f(5)=0[/tex]
Therefore, when x=5, f(x)=0
Answer:
f(x) = 0
Step-by-step explanation:
given that x = 5f(x) = x - 5 .......replace x with 5
→ 5 - 5
→ 0
What value of x satisfies this equation?
log2 (6x – 8) – log, 2^8=1
The value of x is?
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]log_2(6x-8)-log_2(8)=1\\\\log_2(\frac{6x-8}{8})=1\\ \\\frac{6x-8}{8}=2\\ \\6x-8=16\\\\6x=24\\\\x=4[/tex]
mary was told that a line goes through points (1,3) and (6, -2) and has a slope of 3 explain why the informatio mary was given cannot be correct
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{1}}}\implies \cfrac{-5}{5}\implies -1[/tex]
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
How do the graphs of y = 1 and y=5/x+6 compare
Please answer asap will give brainiest
Teams A and B are playing a series of games. The series is over as soon as a team
wins a total of three games. Team A is two times more likely to win a game than Team
B. A draw in a game is impossible. What is the probability that Team A wins the
series?
Answer:
79% - almost 4 times out of 5.
The key to this is realizing that the number of games will not always be 5.
If A wins in a sweep - you have 2/3*(2/3)*2/3 percent chance of that happening - 8/27, or 29.63%
If A wins in 4, now we have 2/3*(2/3)*2/3*(1/3)*3 - the 1/3 is the chance that B wins a game. Note - there are only 3 ways B can win a game, not 4. B cannot win Game 4 because Game 4 would not be played in case of a sweep. That is why you cannot use a straight Pascal’s triangle to get your coefficients - the 1–4–6–4–1 is not possible if B cannot win Game 4. Anyway, the math is the same as the above, a 29.63% chance of A winning in 4.
For a 5 game set, A could lose 2 games in 6 possible ways (lose 1&2, 1&3, 1&4, 2&3, 2&4 or 3&4). Again, A cannot lose Game 5 - it would not be played once A wins 3 games. So the odds become 2/3*(2/3)*2/3*(1/3)*(1/3)*6, or 19.75%.
Add them up and you get 79.01%
Step-by-step explanation:
Hope it helps<3
A student randomly selected animal crackers from a large box of animal crackers. Below is the number of each animal the student selected. If the student were to select one animal cracker from the box, what is the probability of selecting a lion?
Answer:
if i knew the answer i would say it but i need it to
Step-by-step explanation:
10. What is the circumference of a circular swimming pool with a diameter of 6 1 feet?
ft. (use 22 forpi)
Answer:
[tex]C=1342[/tex]
Step-by-step explanation:
Calculate circumference of the circle:
[tex]C=1342[/tex]
What are 3 ways to write x^3/2 ?
[tex]\displaystyle\\x^\frac{3}{2} =>\\\sqrt{x^3} ;x\sqrt{x} ;x\times x^\frac{1}{2}[/tex]
think it's right. i don't now(or remember) any other ways
Add the product of ⅘and 6 to the quotient of 4/45÷4/5.
Answer:4/45÷4/5.
Solving-0.1,3-2
Answer-1/9
Step-by-step explanation:
Antonio earned $25 on Thursday and $65 on Saturday. On Sunday he gave 10% of
the money in the offering at church. How much did he give?
Answer:
$9
Step-by-step explanation:
Total money Antonio has on Sunday =25 + 65=90
Now,10%of 90=9
So he gave $9 to church
Please help due today
It is a linear pair of angles hence supplementary
[tex]\\ \tt\hookrightarrow 123+3x=180[/tex]
[tex]\\ \tt\hookrightarrow 3x=180-123[/tex]
[tex]\\ \tt\hookrightarrow 3x=57[/tex]
[tex]\\ \tt\hookrightarrow x=19[/tex]
Explanation:
The angles shown is supplementary because the sum of 123 and 3x is 180.
Thus, the equation formed:
123 + 3x = 180°Subtract 123 both sides:
123 + 3x = 180°=> 123 - 123 + 3x = 180 - 123=> 3x = 57Divide 3 both sides:
=> x = 57/3 = 19The value of x is 19.
Which shows the best way to estimate 553 ÷ 22?
Answer:
How many 22s can go in 553
Step-by-step explanation:
Please mark me as brainliest
The model represents an inequality. What is the solution set for the inequality?
Write an inequality that describes all the points that are more than 3 units from 5.
x>8 and x<2 are the two possible inequalities of |x - 5| > 3
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Let x be the number
|x - 5| > 3
Now solve for x.
Suppose x - 5 is positive. Then
x - 5 > 3
x > 8
Suppose x - 5 is negative. Then |x - 5| = -(x - 5) = 5 - x
5-x>3
5-3>x
2>x
x<2
Hence, x>8 and x<2 are the two possible inequalities of |x - 5| > 3
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Please help need both answers
Answer:
5) 13% 7) 3/28
Step-by-step explanation:
5)
total number of marbles: 2 + 3 + 5 + 1 + 2 + 2 = 15 marbles.
probability its blue: [tex]\frac{2}{15}[/tex] __in fraction
in percentage: [tex]\frac{2}{15}[/tex] * 100 = 13%
7)
total number of marbles: 4 + 5 + 2 + 9 + 1 = 21
probability of selecting a red marble: 5/21
then 1 marbles is reduced as not replaced.
total marbles: 21 - 1 = 20
probability of getting orange marble: 9/20
total probability: 9/20 * 5/21 = 3/28
Find the lower and upper bound for:
50 kg
measured
to the nearest
10 kg
.what is the factored form of 8x^24 - 27y^6
Answer:
I couldn't figure out how to type it so I typed it somewhere else lol. Hope it helps:)
Step-by-step explanation:
Which of the following represents the measures of all angles coterminal with a 418° angle? 360 58n, for any whole number n 58 360n, for any integer n 58 360n, for any whole number n 360 58n, for any integer n.
Using the concept of the angle the conditions are solved. For any whole number n, 360+58n is coterminal with 418°. option C is correct.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Given
The measures of all angles are coterminal with a 418° angle.
a. 360+58n, for any whole number n.
For any whole number n, 360+58n is not coterminal with 418° except one.
b. 58+360n, for any integer n.
For any integer number n, 360+58n is coterminal with 418° except zero.
c. 58+360n, for any whole number n.
For any whole number n, 360+58n is coterminal with 418°.
d. 360 58n, for any integer n.
For any integer number n, 360+58n is not coterminal with 418° except one.
Thus, for any whole number n, 360+58n is coterminal with 418°. option C is correct.
More about the angle link is given below.
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evaluate the expression 5(m-2) + 10w when m = 8.4 and w= 1.25
Hey there!
5(m - 2) + 2w
= 5(8.4 - 2) + 10(1.25)
= 5(8.4) + 5(-2) + 10(1.25)
= 42 - 10 + 10(1.25)
= 32 + 12.50
≈ 32 + 12.5
= 44.50
≈ 44.5
Thus, your answer is: 44.5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The following graph shows the amounts customers say they are willing to pay for jeans. What is the likelihood that a customer is willing to pay at least $95?
Considering that 30 out of 120 clients are willing to pay at least $95, we use the it's concept and find that there is a 0.25 = 25% probability that a customer is willing to pay at least $95.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we suppose that 30 out of 120 clients are willing to pay at least $95, hence:
[tex]p = \frac{30}{120} = 0.25[/tex]
There is a 0.25 = 25% probability that a customer is willing to pay at least $95.
More can be learned about the probability concept at https://brainly.com/question/15536019
Find the quotient. (6 1/2 ÷ 3 2/3) ....1 17/22 23 5/6 21/3 2 3/4
Answer:
1 17/22
Step-by-step explanation:
What is the explicit formula for the sequence: 32, 48, 72, 108,..
Verify with next one
48(3/2)=72Verified
formula
[tex]\\ \tt\hookrightarrow a_n=ar^{n-1}[/tex]
[tex]\\ \tt\hookrightarrow a_n=32(3/2)^{n-1}[/tex]
Answer:
[tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]
Step-by-step explanation:
The difference between each term in the sequence is not the same, therefore the sequence is a geometric sequence.
Geometric sequence formula: [tex]a_n=a r^{n-1}[/tex]
where [tex]a[/tex] is the start term and [tex]r[/tex] is the common ratio
Given [tex]a = 32[/tex]
To calculate [tex]r[/tex], divide one term by its previous term:
[tex]\implies r=\dfrac{a_4}{a_3}=\dfrac{108}{72}=\dfrac32[/tex]
Therefore, [tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]
please help will give brainliest
Answer:
Step-by-step explanation:
j) (2g+9h-5)-(6g-4h+2); g=-2 ; h=5
(2*(-2)+9*5-5)-(6*(-2)-4*5+2)
(-4+45-5)-(-12-20+2)
36-(-32+2)
36-(-30)
36+30
66
X+2 is a factor of x^3- kx^2 +3x+7k. Find the value of k.
Explanation:
If x+2 is a factor of the other polynomial mentioned, then x = -2 is a root of that polynomial.
This means plugging x = -2 into the cubic expression will have it result in zero.
x^3- kx^2 +3x+7k = y
(-2)^3- k*(-2)^2 +3*(-2)+7k = 0
-8 - 4k - 6 + 7k = 0
3k - 14 = 0
3k = 14
k = 14/3