Answers
Answer:
268.08 (268)
Step-by-step explanation:
The volume of a sphere is 4/3*pie*r^3
Related Questions
Harmony earns a $42,000 salary in the first year of her career. Each year, she gets a 4%, percent raise.
Which expression gives the total amount Harmony has earned in her first n years of her career?
Answers
Answer:
42000*1.04^(n-1)
Step-by-step explanation:
4% is equal to 0.04, a raise is 1+0.04=1.04
1.04 is now the number we are multiplying by to get a new yearly salary for Harmony.
42000*1.04^(n-1) since n is how many years after she has the job you have to raise it to the power and subtract one.
11 points
please help me
Answers
Answer:
40%
8%
15%
37%
Step-by-step explanation:
The solutions are in the image
A rectangular box with a square base, an open top, and a volume of 32,000 cm3 is to be made. What is the minimum surface area for the box
Answers
the minimum surface area for the box is 4800 cm².
Forming the Equation of SurfaceArea
It is given that the given rectangular box is square-based and top is open. hence, it consists of square and 4 rectangles.
Let the side of the square be a, and height of the box be h.
Then, the total surface area of the box will be given by,
S = a² + 4ah _________ (1)
Also, it is given that the volume of the box is, V = 32000 cm³
The volume of the rectangular box, V = a² h
Eliminating One of the Variables From the Equation
The volume of the rectangular box, V = a² h
⇒ a² h = 32000
⇒ h = 32000/a² _______ (2)
Substituting this value of h in equation (1), we get,
S = a² +4a(32000/a²)
S = a²+128000/a
Minimizing the Surface Area Equation
To find the minima, put, dS/da = 0
dS/da = 2a-128000/a²
⇒ 2a-128000/a² = 0
Multiplying the whole equation with a², we get,
2a³-128000 = 0
⇒ 2a³ = 128000
⇒ a³ = 128000/2
⇒ a³ = 64000
⇒ a = 40 cm
Calculating the Minimum Surface Area
From, equation (2), h = 32000/(40)²
h = 32000/1600
h = 20 cm
Now, substituting the computed values of a and h in equation (1), we get,
S = (40)² +4(40)(20)
S = 1600 +3200
S = 4800 cm²
∴ The minimum surface area of the box is 4800 cm².
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Find the greatest common factor of the
following monomials:
33c 27c^4
Answers
The greatest Common factor of monomials [tex]33c[/tex] and [tex]27c^4[/tex] is [tex]3c[/tex]
How we can find the GCF of monomials ?
Monomials are [tex]33c[/tex] and [tex]27c^4[/tex]
We can write the monomials in fraction form
[tex]33c=11*3*c[/tex]
[tex]27c^4=3*9*c*c*c*c[/tex]
----------------------------------
So we can see the common factor is [tex]3c[/tex]
The Greatest Common Factor of [tex]33c ,27c^4[/tex] is [tex]3c[/tex]
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Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.
Answers
Answer: no, it's not similar because we cannot multiply it by any factor that the ratio will be the
Step-by-step explanation:
A $6$-sided die is weighted so that the probability of any number being rolled is proportional to the value of the roll. (So, for example, the probability of a $2$ being rolled is twice that of a $1$ being rolled.) What is the expected value of a roll of this weighted die
Answers
The expected value of a roll of this weighted die is; 13/3 or 4.33
How to find the Expected Value?We are given that;
A $6 sided die is weighted.
Probability of any number being rolled is proportional to the value of the roll.
Probability of a $2 being rolled is twice that of a $1 being rolled.
Thus, the expected Value is;
E(x) = (1*1 + 2*2 + 3*3 + 4*4 + 5*5 + 6*6)/(1 + 2 + 3 + 4 + 5 + 6)
E(x) = 13/3 = 4.33
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Vertical plane R intersects horizontal plane P. Points A, D, and B are on the line of the intersecting planes. Point F is on the top half of plane R. Point G is on the bottom half of plane G. Point C is on the left half of plane P. Point E is on the right half of plane P. Point H is above and to the right of the planes. Point J is below and to the left of the planes. Which statements are true based on the diagram? Check all that apply. Points A, B, and D are on both planes. Point H is not on plane R. Plane P contains point F. Points C, D, and A are noncollinear. The line containing points F and G is on plane R. The line containing points F and H is on plane R.
Answers
The true statements are:
Points A, B, and D are on both planes. Point H is not on plane R. Points C, D, and A are noncollinear. The line containing points F and G is on plane R. What is the intersection of 2 planes?If two planes are said to have intersect each other, the intersection will be regarded as a line.
Hence, looking at the image attached, you will see that Points C, D, and A are noncollinear and the line containing points F and G is on plane R.
Note that when a line and a plane are said to intersect each other , the intersection will be a single point, or say a line. So Points A, B, and D are on both planes.
Therefore, option 1, 2, 4 and 5 are correct.
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Answer: option 1 , 2 , 4 , 5
Step-by-step explanation: edge 2022
14. Kathy lives directly east of the park. The football field is directly south of the park. The library (1 point) sits on the line formed between Kathy's home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 9 miles from her home. The football field is 12 miles from the library.
Park
Home
9 miles
Library
12 miles
Football field
a. How far is the library from the park?
b. How far is the park from the football field?
6.√3 miles; 6.7 miles
6.7 miles: 6.3 miles
√33 miles. √21 miles
√21 miles, √33 miles
Answers
Answer:
(a) 6√3, 6√7
Step-by-step explanation:
The right triangles shown are all similar, so corresponding sides are proportional. This gives rise to three "geometric mean" relations between the various lengths.
Geometric mean relationsUsing P, F, L, and H to represent the points marked Park, Football field, Library, and Home, the relations are ...
PF/FH = FL/PF ⇒ PF = √(FH·FL)
PL/FL = HL/PL ⇒ PL = √(FL·HL)
PH/HL = HF/PH ⇒ PH = √(HL·HF)
Application(a) The distance from the park to the library is ...
PL = √(FL·HL) = √(12·9) = 6√3 . . . miles
(b) The distance from the football field to the park is ...
PF = √(FH·FL) = √(21·12) = 6√7 . . . miles
The function f(x) = 200(0.5)x/50 models the amount in pounds of a particular
radioactive material stored in a concrete vault, where x is the number of years since
the material was put into the vault. Find the amount of radioactive material in the
vault after 140 years. Round to the nearest whole number.
Answers
Answer:
29 years
Step-by-step explanation:
Given the function [tex]f(x)= 200(0.5)^{\frac{x}{50} }[/tex], where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.Another way of doing this is to change the function to [tex]f(x)=200(0.5^{\frac{1}{50} })^{x}[/tex] which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate. I'll use the 1st function because the question doesn't ask for the rate[tex]f(x)= 200(0.5)^\frac{140}{50}}[/tex]
From here I'll just use a calculator & get 28.7, or 29 years.
In the triangle below, what is the measure (in degrees) of angle X?
66°
55°
X
Answers
Answer:
59
Step-by-step explanation:
Angle degrees in a triangle add up to 180
66+55+x=180
121+x=180
x=59
Answer
59°
Step-by-step explanation:
A triangle's angles add up to 180°.
So to find the last angle of the shape, you need to add the given angles and then subtract the answer from 180° looking like this:
66° + 55° = 121°
180° - 121° = 59°
If t is the midpoint of segment rs then, segment rt is congruent to segment ts..
help please!!!!
Answers
It is the definition of Midpoint
Disclaimer!!!
The question is incomplete and the correct question is shown below
What definition would justify the following statement?
If T is the midpoint of segment RS then, Segment RT is congruent to segment TS..
Definition of Angle BisectorDefinition of CongruenceDefinition of MidpointDefinition of Segment BisectorIf t is the midpoint of segment rs then, segment rt is congruent to segment ts. is the definition of the midpoint
The line segment of a triangle connecting the midpoint of two sides of the triangle is said to be parallel to its third side and is also half the length of the third side, according to the midpoint theorem.
Hence It is the definition of the midpoint
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Answer: C: Definition of Midpoint
Step-by-step explanation: Hope that helped!
EXTRA POINTS HELP ASAP!
x + x/3 = 4/9
solve for x
Answers
Answer:
x=1
Step-by-step explanation:
1 + 1/3 = 4/9
1/3 also equals 3/9
hope this helped :)
Answer :
Value of x is 1 / 3Step-by-step explanation :
>> (3 × x + x / 3) = 4 / 9
>> (3x + x / 3) = 4 / 9
>> (4x / 3) = 4 / 9
>> 4x × 9 = 3 × 4
>> 36x = 12
>> x = 12 / 36
>> x = 6 / 18
>> x = 3 / 9
>> x = 1 / 3
How many 3-coin combinations exist if we can choose from
pennies, nickels, dimes, and quarters?
select one:
a. 20
b. 4!
o
c.4.
o
d. 12
Answers
There are four numbers of 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.
How to solve probability combinations?The coins to select from are nickels, dimes, quarters, and half-dollars;
Thus;
Coins (n) = 4
The number of coin to select is:
Coin (r) = 3
The coin combination is then calculated using:
Combination = ⁴C₃
Apply the combination formula, we have;
Combination = 4
Thus, there are four number 3-coin combinations if we can choose from nickels, dimes, quarters, and half-dollars.
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Answer:
12
Step-by-step explanation:
took the exam
A rectangular field is to be enclosed by 400m of fencing. Use quadratic to
determine what dimensions will result in the maximum area inside the fence. Show
all your work.
Answers
Work:
First it's a rectangle so its area is equal to the product (multiplication) of both sides of the rectangle (dimensions). A = a x b = ab
NOW: knowing the the circumference or perimeter is equal to 400m, we can say that P = 400 = 2(a+b) = 2a + 2b since the given polynom is rectangle. 2a + 2b = 400 <==> 2a = 400 - 2b <==> a = 200 - b.
We gave an expression of a in function of b. Now we can replace the variable a by 200 - b in the first expression of the area.
A = ab = (200-b)b = 200b-b^2 = -b^2 + 200b
A is now a quadratic equation. We note A(b) the epression -b^2 +200b so:
A(b) = -b^2 +200b
We can already see that A is a quadratic equation of the form:
ax^2 + b + c. The a coefficient is negative which will lead to closed parabola when looking from the top. Now we need to find the maximum of the function by using the derivatives:
A(b) = -b^2 +200b <==> A'(b) = -2b + 200b
and -2b + 200b = 0 <==> b = 100;
So the derivative function crosses the x-axis at (100; 0).
So is increasing over ]-∞; 100] and decreasing over [100; ∞[.
We obtain a maxima on (100; x) with A. To find it we need to replace 100 by b in the function A.
A(b) = -b^2 + 200b
<==> A(100) = -100^2 + 200 x 100 = - 10000 + 20000 = 10000
Now let's find a: if b = 100 what equals a ?
We know that ab = 10000 <==> 100a = 10000 <==> a = 100;
And we verify that ab = 100 x 100 = 10000.
The rectangle needs to be a square to reach the maximum area of 10000m^2 or also 0.01 km^2.
Q.E.D.
Prove or disprove the following. In any group of two or more people, there are always at least two people who have the same number of friends. Assume that if a person p is a friend of a person q then q is also a friend of p.
Answers
Yes we can prove that in the group of more than two people that there are at least two people that have the same number friends given the condition here.
How to go about this proofLet us create a variable P. P is an individual called Joe. Now Joes seems to know all at this party. This tells us that all at this party should at least know him.
We have the set {1,2,...n-1} , given that the minimum number of persons that one person knows is 1.
Let us assume we have Harry. Harry is a party crasher who came to the party. Hence it is possible that someone like Joe that knows all at the party may not even know him. Hence the maximum persons that a person would know is given to be n. The set would then be {0, 1,...,n-2}.
There are n elements in the 2 sets that we have above. Given that n people are at this function, and there are n possibilities for the number that one person can know of the participants, then we can say that at least two people can then know equal number of persons at the party.
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what formula would i need to use to graph the relationship of volume of surface area of a cylinder?
Answers
The formula is illustrated below:
Volume of cylinder = πr²hSurface area = 2πrh + 2πr²How to illustrate the information?It should be noted that a cylinder simply means a three dimensional solid which holds two parallel bases that are joined by a curved surface.
In this case, it can be seen that the formula that can be used to calculate the volume and the surface area of the cylinder is illustrated above.
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WILL VOTE BRAINLIEST FOR THE FIRST RIGHT ANSWER
Answers
Answer:
last choice
Step-by-step explanation:
The domain is the set of x values: from -3 to 3.
The range is the set of y values: from 1 to 10.
Answer: last choice
Need help understanding how to find the answer to problem
Answers
Answer:
3.Tan(45)=n/2
1=n/2
n=2
Cos(45)=2/m
1/√2=2/m
m=2√2
5.Sin(60)=x/14
√3/2=x/14
14√3/2=x
x=7√3
Cos(60)=y/14
1/2=y/14
y=7
Given the right triangle below, for the Pythagorean theorem, in which a 2 + b 2 = c 2, which side would represent the side "c." Hint: look at this triangle and the names of the angles.
Answers
Answer:
line segment AC (hypotenuse)
Step-by-step explanation:
The Pythagorean Theorem states that the sum of squares of the base/height of the triangle will equal the hypotenuse squared which is what c is equal to. So the c would represent the hypotenuse which is the side from the points A to C in the diagram.
i’ll give brainliest
Answers
Answer:
5
Step-by-step explanation:
-2x - y = -3
y = -3x + 2
-2x - (-3x + 2) = -3
-2x + 3x - 2 = -3
x = -1
y = -3*-1 + 2 = 5
How many triangles are there?
Answers
Answer:
15 triangles.
Step-by-step explanation:
just count them eventually you will reach there.
Determine the missing information in the paragraph proof.
Given: Line PQ contains points (w, v) and (x, z) and line P'Q' contains points (w + a, v + b) and (x + a, z + b). Lines PQ and P'Q' are parallel.
Prove: Parallel lines have the same slope.
On a coordinate plane, 2 lines are shown. Line Q P goes through (w, v) and (x, z). Line Q prime P prime goes through (w + a, v + b) and (x + a, z + b).
Since slope is calculated using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction, the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.
Answers
The slope of both lines is mathematically equivalent to
[tex]Slope=\frac{(z - v)}{ (x - w)}[/tex]i
What is the slope of both lines is equivalent to?Generally, the equation for Slope is mathematically given as
[tex]S= dy / dx[/tex]
Therefore
[tex]Slope of PQ = \frac{(z - v)}{(x - w)}[/tex]
[tex]S of P'Q' =\frac{ (z + b - (v + b))}{((x + a) - (w + a))}\\\\S of P'Q' =\frac{ (z - v)}{(x - w)}[/tex]
The slopes of both lines are equivalent to
[tex]Slope=\frac{(z - v)}{ (x - w)}[/tex]
In conclusion, The slope of both lines is equivalent to
[tex]Slope=\frac{(z - v)}{ (x - w)}[/tex]
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Answer:
A: z - v | x - w
Step-by-step explanation:
1. What is the domain and range of the
graph shown?
-10 S
2799
-24
Answers
Answer:
D: (-∞,∞)
R: (0,∞)
Step-by-step explanation:
This is a parabola, so the domain of this function is always:
D:(-∞,∞)
The y-values of this parabola do not go any lower than 0, and it goes upwards in the positive y-direction. So, the range for this function is:
R:(0,∞)
Allen is 5 feet 9 inches tall, terrel is 6 feet 2 inches tall. what is the average height
Answers
The average height is [tex]5feet[/tex] and [tex]11.5[/tex] inches if Allen is [tex]5 feet 9 inches[/tex] tall and Terrel is [tex]6 feet 2 inches[/tex] tall.
How to find the average height ?
Allen height is [tex]5feet ,9inches[/tex]
Terrel height is [tex]6feet,2inches[/tex]
And we know that [tex]1feet=12inches[/tex]
So Allen height is
[tex]=5*12+9\\=60+9\\=69 inches[/tex]
And Terrel height is
[tex]=6*12+2\\=72+2\\=74inches[/tex]
Average of the Allen and Terrel height is
[tex]\frac{69+74}{2\\} \\=143/2\\=71.5inches[/tex]
And average height in feet is [tex]5feet,11.5inches[/tex]
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How many two digit numbers have on odd digit and one evan digit?
Answers
Answer: There are only 90 two-digit numbers. It shouldn’t take long to write them out and count them
Step-by-step explanation:
Answer:
45 numbers
Step-by-step explanation:
The 10-digit numbers are 10-99. We can manually write them out to start and see if we can find a pattern.
We can start 10-19: The numbers that have one odd digit and one even digit at 10, 12, 14, 16, 18 (since 1 is odd, we can only pick the numbers that have an even unit digit)
Next, we move on to 20-29: The numbers that follow the property are 21, 23, 25, 27, 29
Both of these examples have 5 numbers that follow the property. We can notice that all of the subsequent clusters (30-39, 40-49, 50-59, 60-69, 70-79, 80-89, 90-99) will also have 5 each. The numbers that start with an odd number will have the same unit digits as the 10-19 cluster, and the numbers that start with an even number will have the same unit digits as the 20-29 cluster. Observe:
30-39: 30, 32, 34, 36, 38
40-49: 41, 43, 45, 47, 49
50-59: 50, 52, 54, 56, 58
60-69: 61, 63, 65, 67, 69
70-79: 70, 72, 74, 76, 78
80-89: 81, 83, 85, 87, 89
90-99: 90, 92, 94, 96, 98
In all, there are 9 clusters of numbers, and each one has 5 numbers that follow the property. Therefore, the total is 9*5 or 45 numbers
Find the unknown angle
x
4
z
y
Answers
Which measure represents the standard deviation of the sample means and is used in place of the population standard deviation when
the population parameters are unknown?
Answers
The measure represents the standard deviation of the sample means and is used in place of the population standard deviation when the population parameters are unknown is; t-test.
Which measure is used when the population parameters are unknown?A hypothesis test for a population mean when In the case that the population standard deviation, σ, is unknown, carrying out a hypothesis test for the population mean is done in similarly like the population standard deviation is known. A major distinctive property is that unlike the standard normal distribution, the t-test is invoked.
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Answer:
standard error of the mean
Step-by-step explanation:
Plato/Edmentum
How is 6.3 written in scientific notation? 6.3 times. 100 63 times. 10–1 6.3 times. 101 63 times. 100
Answers
The scientific notation of 6.3 is written as 6.3 × 10^0; option A
Scientific notationThe decimal points should be moved between the first digit and the next digit.When moving decimal point to the left in scientific notation; it is negative, that is, -When moving decimal point to the right in scientific notation; it is positive, that is, +Therefore, since there are only two significant number in 6.3, the decimal point can not be moved.
6.3 in scientific notation
= 6.3 × 10^0
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Answer: A
Explanation: 6.3 x 10^0
ucscout word problem define the variables. (see screenshot) please help
Integrated math 3
Answers
The exponential equation for the number of Bacterian Camels in Mongolia is:
[tex]P(t) = 600(0.982)^t[/tex]
The parameters can be described as follows:
P is the population after t years.A is the initial population.r is the decay rate, as a decimal.t is the time in years.What is an exponential function?A decaying exponential function is modeled by:
[tex]P(t) = A(1 - r)^t[/tex]
In which:
P is the population after t years.A is the initial population.r is the decay rate, as a decimal.t is the time in years.For this problem, the values of the parameters are given as follows:
A = 600, r = 0.018.
Then the equation is:
[tex]P(t) = A(1 - r)^t[/tex]
[tex]P(t) = 600(0.982)^t[/tex]
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A variable that can only take on specific numeric values is called a _____. Group of answer choices categorical variable discrete random variable continuous random variable categorical variable
Answers
A variable that can only take on specific numeric values is called A discrete random variable.
According to the statement
A variable which is used to select a specific numeric value and we have to find a those variable
A discrete random variable is one which may take on only a countable number of distinct values.
So, A variable that can only take on specific numeric values is called A discrete random variable.
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