Answer:
Cubic unit.Step-by-step explanation:
The answer to the volume of a sphere/hemisphere should only be written a cubic unit, because volumes depends on three coordinates to be defined, width, lenght and height, where each coordinates is a length itselft, which multiplied give a cubic length unit, due to the power properties.
For example, imagine that you have all three dimensions in meters, then the product would be [tex]m \times m \times m=m^{3}[/tex].
Therefore, the answer that completes the statment is cubic unit. A volume should be always written in cubic units.
Answer:
The answer to the volume of a sphere/hemisphere should only be written as a function of the radius.
Step-by-step explanation:
An hemisphere is half of a sphere. Its volume can be determined by dividing the volume of a given sphere by 2. The volume is the maximum space or capacity that a 3 dimensional object occupies.
volume of a sphere = [tex]\frac{4}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]
volume of an hemisphere = [tex]\frac{2}{3}[/tex] [tex]\pi[/tex] [tex]r^{3}[/tex]
In both cases, the volume is dependent on the value of radius.
The answer to the volume of a sphere/hemisphere should only be written as a function of the radius. Volume is measured in cubic units.
Fifteen mothers were asked how many months old their babies were when they cut their first tooth. The results are shown below.
8, 8, 6, 8, 9, 10, 5, 7, 9, 5, 9, 7, 6, 8, 7
Find the range and the outlier(s), if any, of the data set.
What is the classification for this polynomial?
11
Answer: trinomial
Step-by-step explanation:
i answered it
why are the side lengths of a right triangle a pythagorean triple
Explanation:
We assume your question is "why is that name given to these three numbers?"
There are many names in mathematics that are given to sequences or sets of numbers having a particular characteristic. The term "Pythagorean triple" is usually reserved for three positive integers that satisfy the relation "the sum of the squares of the smaller two is equal to the square of the largest."
This relationship exists between the side lengths of a right triangle, which is the point of the Pythagorean theorem. So, integer side lengths of a right triangle constitute a "Pythagorean triple."
_____
If your question is "why do right triangle side lengths have the relationship specified by the Pythagorean theorem?", that demands a different answer. In general, the sides and angles of a triangle obey the Law of Sines and the Law of Cosines.
One of the expressions of the Law of Cosines is ...
c² = a² +b² -2ab·cos(C)
where C is the angle opposite side c in the triangle. You may recall that the cosine of 90° is zero, so the cosine term in this equation vanishes when angle C is a right angle. The remaining equation is ...
c² = a² +b²
This is an expression of the Pythagorean theorem, and it is true only for right triangles.
a reading teacher recorded the number of pages read in an hour by each of her students. The numbers are shown below: 54,39,29,43,60,44,35,49,51. for this data, which summary statistic is not correct?
Answer: The answer is 29, because that 29 would be the outlier of the numbers.
Step-by-step explanation:
How many quarters are there in $2? A. 2 B. 4 C. 6 D. 8
Answer:
The answer is D.
Step-by-step explanation:
In $1 there are 4 quarters. Having $2 you would multiply 4 by 2 to get how many quarters there are in $2
Answer:
The answer is D.
Step-by-step explanation:
In $1 there are 4 quarters. Having $2 you would multiply 4 by 2 to get how many quarters there are in $2
The graphs of two functions are shown. Which statements accurately compare the functions in the graph? Select two options
Answer:
c
Step-by-step explanation:
The senior classes at Snellville High and General High planned separate trips to the water park. The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students. General High rented and filled 14 vans and 12 buses with 738 students. How many students would fill 2 buses and 3 vans?
Answer:
133 Students
Step-by-step explanation:
Let the number of student in a van=v
Let the number of student in a bus=b
The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.
Therefore: 12v+14b=796
General High rented and filled 14 vans and 12 buses with 738 students.
Therefore: 14v+12b=738
We solve the two resulting equations simultaneously
12v+14b=796
14v+12b=738
Multiply equation 1 by 12 and equation 2 by 14 to eliminate b
144v+168b=9552
196v+168b=10332
Subtract
-52v=-780
Divide both sides by -52
v=15
We substitute v=15 to obtain b in any of the equations
12v+14b=796
12(15)+14b=796
14b=796-180
14b=616
Divide both sides by 14
b=44
Therefore a bus contains 44 Students and a Van contains 15 students.
Number of Students who would fill 2 buses and 3 vans
=2b+3v
=2(44)+3(15)
=133 Students
10x+4x-15=145
What is x?
Answer:
x=11.429
Step-by-step explanation:
10x+4x-15=145
14X=160
x=11.429
Answer:
11.43
Step-by-step explanation:
Combine like terms 10x and 4x to get 14x.your new equation is 14x-15=145 add 15 on both sides and then you get 14x=160. 160/14 = 11.43 rounded to the nearest hundredth
g Suppose a factory production line uses 3 machines, A, B, and C for making bolts. The total output from the line is distributed as follows: A produces 25%, B produces 35%, and C produces 40%. The defect rate for A is 5%, B is 4%, and C is 2%. If a bolt chosen at random is found to be defective, what is the probability that it came from machine A
Answer:
The probability that it came from A, given that is defective is 0.362.
Step-by-step explanation:
Define the events:
A: The element comes from A.
B: The element comes from B.
C: The element comes from C.
D: The elemens is defective.
We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that
[tex]P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)[/tex]
Recall that given events E,F the conditional probability of E given F is defined as
[tex]P(E|F) = \frac{P(E\cap F)}{P(F)}[/tex], from where we deduce that
[tex]P(E\cap F) = P(E|F)P(F)[/tex].
We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that
[tex] P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345[/tex]
We are told to calculate P(A|D), then using the formulas we have
[tex] P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884[/tex]
Charles’s law states that if the pressure of a dry gas is held constant, then the volume V of the gas and its temperature T, measured in degrees Kelvin, satisfy the relationship V=cT, where c is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the volume and the rate of change, with respect to time t, of the temperature?
a) dV/dt = T dc/dt
b) dV/dt = c * dT/dt
c) dV/dT = c
d) 1 = c * dT/dV
Answer:
b) dV/dt = c * dT/dt
Step-by-step explanation:
Differentiating the equation with respect to time, you have ...
V = cT
dV/dt = c·dT/dt . . . . matches choice B
If the mean of a symmetric distribution is 60, which of these values could be
the median of the distribution?
A. 100
B. 60
C. 80 As
D. 30
SUBMIT
Answer:
i think ...
Step-by-step explanation:
symmetric distribution usually be a bell shape distribution .
most likely the median = mean = 60
The required value of 60 could be the median of the distribution. Option B is correct.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
Here,
The mean of a symmetric distribution is 60.
Since for the symmetric data and rational data, the mean is equal to the median,
So Mean = Median
Median = 60
Thus, the required value of 60 could be the median of the distribution.
Learn more about mean here:
https://brainly.com/question/15397049
#SPJ2
Make h the subject of the relation V=1/3πr²h
Answer:h=3V/πr^2
Step-by-step explanation:
V=1/3πr^2h
Cross multiply
3V=πr^2h
Divide both sides by πr^2
3V/πr^2=πr^2h/πr^2
3V/πr^2=h
h=3V/πr^2
An ice chest contains 4 cans of apple juice, 5 cans of grape juice, 8 cans of orange juice, and 6 cans of mango juice. Suppose that you reach into the container and
randomly select three cans in succession. Find the probability of selecting three cans of apple juice.
Please help I’m stressing and it’s my last question ‼️‼️
Answer:
(19/23)(18/22)(17/21) or 969/1771
Step-by-step explanation:
You add up the total number of cans, giving you 6+4+5+8 = 23 cans total. From there, you only have 4 cans of grape juice. That means 19 of these cans aren't grape, meaning you are checking the probability of choosing these three times in a row.
The probability of selecting the first can and it not being grape is 19/23. Then, when you select another can in succession, without replacing the cans, you now only have 22 cans left, meaning 18 also will not be grape, so it will be a 18/22 chance. Then, selecting your third can, 21 cans are left, and 17 of them are not grape since you have not yet chosen one, giving you 17/21. You multiply them together.
Hopefully I reduced the fraction properly (or even did this question properly)
Is 124 inches equal too 3 yards 16 inches
Answer:
we are given
length =3 yards and 16 inches
now, we can change it in inches
we know that
1 yard =36 inches
so, we get
length =3*36 inches and 16 inches
length=124 inches
now, we will check each option
option-A:
we can see that this is also 124 inches
so, this is TRUE
option-B:
4 yd 4 in
we can change into inches
we know that
1 yard =36 inches
4 yd 4 in=4*36 inches +4 inch
4 yd 4 in=144 in
this is not equal to 124 in
so, this is FALSE
option-C:
3 yd 1 1/2 in
we know that
1 yard =36 inches
3 yd 1 1/2 in =
3 yd 1 1/2 in =
this is not same as 124 in
so, this is FALSE
option-D:
2 yd 52 in
we know that
1 yard =36 inches
2 yd 52 in
2 yd 52 in
so, this is same
so, this is TRUE
option-E:
10 ft 4 in
we know that
1 feet =12 inches
so,
10 ft 4 in=12*10 +4 in
10 ft 4 in=124 in
this is same
so, this is TRUE
Step-by-step explanation:
So yes 124 is the same as 3 yards and 16 inches
Hope this helps!!!
Work Shown:
1 foot = 12 inches
3 feet = 36 inches (multiply both sides by 3)
1 yard = 3 feet
1 yard = 36 inches (replace "3 ft" with "36 in")
3 yards = 108 inches (multiply both sides by 3)
3 yards, 16 inches = 3 yards + 16 inches
3 yards, 16 inches = 108 inches + 16 inches
3 yards, 16 inches = 124 inches
Question 1
Write x2 + 4x – 3x3 + 6 in standard form.
a) – 3x3 + 4x + x2
b) x2 – 3x3 + 4x + 6
c) –3x3 + x2 + 4x + 6
d) 6 + 4x – 3x3 + x2
Answer:
-3x^3 + x^2 + 4x +6
Answer is C
Step-by-step explanation:
Answer: -3x^3 + x^2 + 4x +6
Answer is C
Step-by-step explanation:
What is the median for the given set of data?
[40, 54, 22, 30, 55, 13, 33}
A)
32
B)
33
C)
40
D)
42
Which relation represents a function?
StartSet (0, 0), (2, 3), (2, 5), (6, 6) EndSet
StartSet (3, 5), (8, 4), (10, 11), (10, 6) EndSet
StartSet (negative 2, 2), (0, 2), (7, 2), (11, 2) EndSet
StartSet (13, 2), (13, 3), (13, 4), (13, 5) EndSet
Answer:
(-2, 2), (0, 2), (7, 2), (11, 2)
Step-by-step explanation:
A relation must have no repeating x-values for it to be a function.
Set C does not have any repeating x-values, so it is a function.
Sets A, B, and D have repeating x-values, so they are not functions.
A: (0, 0), (2, 3), (2, 5), (6, 6)
B: (3, 5), (8, 4), (10, 11), (10, 6)
D: (13, 2), (13, 3), (13, 4), (13, 5)
Answer:
c
Step-by-step explanation:
hope this helps
AB=
Round your answer to the nearest hundredth.
pleaseee
Answer:
[tex]c = \frac{2}{0.42} [/tex]
Step-by-step explanation:
AB = c
[tex] \frac{a}{sin \: A} = \frac{c}{sin \: C} \\ \frac{2}{sin \: 25} = \frac{c}{sin \: 90} \\ \frac{2}{0.42} = \frac{c}{1} \\ 0.42 \: c = 2 \\ c = \frac{2}{0.42} [/tex]
Answer:
4.73
Step-by-step explanation:
The table below shows possible cost and revenue equations for a manufacturer of cameras.
Cost
65.16 n + 1,500
I
Cost
35.79 n + 6,700
II
Revenue
98.75 n
III
Revenue
56.95 n
IV
Which of the following pairs of equations will never break even?
Answer
B. l and lV
Step-by-step explanation:
The pairs of equations will never break even is Cost 35.79 n + 6,700 and Revenue 56.95 n. The correct option is D.
What is break-even point?The break-even point is the point at which total cost and total revenue are equal, implying that your small business has no loss or gain.
To find the break-even point, we need to set the cost equation equal to the revenue equation and solve for n:
Cost = Revenue
65.16n + 1,500 = 98.75n (for equation I)
32.59n = 1,500
n = 46.05
So the break-even point for equation I is 46.05 units.
Cost = Revenue
35.79n + 6,700 = 56.95n (for equation II)
21.16n = 6,700
n = 316.3
For options (c) and (d), we need to compare the break-even points for equations III and IV with equations II and I, respectively.
Cost = Revenue
65.16n + 1,500 = 56.95n (for equation IV)
8.21n = -1,500
n = -182.7
The negative value for n means that equation IV does not have a break-even point.
Cost = Revenue
35.79n + 6,700 = 98.75n (for equation III)
62.96n = 6,700
n = 106.2
The break-even point for equation III is 106.2 units.
Therefore, the pair of equations that will never break even is (d) I and IV.
For more details regarding break even point, visit:
https://brainly.com/question/22871926
#SPJ7
Your question seems incomplete, the probable complete question is:
The table below shows possible cost and revenue equations for a manufacturer of cameras.
Cost
65.16 n + 1,500
I
Cost
35.79 n + 6,700
II
Revenue
98.75 n
III
Revenue
56.95 n
IV
Which of the following pairs of equations will never break even?
a. I and III
b. II and IV
c. II and III
d. I and IV
A building is 864 inches (in) tall. How many feet (ft) is this?
Answer:
72 ft.
Step-by-step explanation:
12 inches = 1 foot
Answer:
72 feet
Step-by-step explanation:
math calculator
help timed help plss!!
Answer:
V1 = Base x Height = 43 x 15 = 645 (mm3)
V2 = Base x Height = 12 x 7 = 84 (mm3)
Hope this helps!
:)
Answer:
1) 645 mm³
2) 84 cm³
Step-by-step explanation:
Volume of prism:
Base area × height
1) 43 × 15 = 645 mm³
2) 12 × 7 = 84 cm³
Help ! I don’t know if I have it correct. Can somebody check it out. I got 81/65536 which I know has to be incorrect.
Work Shown:
In the numerator, we have 2^2*x^2, which is really just 4x^2. Replace x with 3 and we get 4*x^2 = 4*3^2 = 36.
For the denominator, xy^2, we get
x*y^2 = 3*2^2 = 12
So far we have,
[tex]\frac{2^2x^2}{xy^2} = \frac{4x^2}{xy^2} = \frac{36}{12} = 3\\\\\text{ or simply} \\\\\frac{2^2x^2}{xy^2} = 3[/tex]
when x = 3 and y = 2.
Square both sides to end up with...
[tex]\frac{2^2x^2}{xy^2} = 3\\\\\left(\frac{2^2x^2}{xy^2}\right)^2 = 3^2\\\\\left(\frac{2^2x^2}{xy^2}\right)^2 = 9[/tex]
What does 2 + 2 = ?
Answer:
4
Step-by-step explanation:
1+1+1+1 or 2 + 2
Apple exist in the world. This particular tree only have 4 perfect apples total. Because you only have one friend, they help you pick 2 out of the 4 apples. Then you pick 2 of the other apple. Without dropping or eating them, he gave both of his apple to you . How many apple do you have without dropping or eating them?
Answer:
4
Step-by-step explanation:
A baby girl weighed 18 lb 10 oz at 11 months and 20 lb 2 oz at 12 months. How much weight did the baby gain during this month?
Answer:
1 lb 8 oz
Step-by-step explanation:
The weight gain was the difference between the current weight and the beginning weight: 20 lb 2 oz less 18 lb 10 oz. Since 10 oz is less than 2 oz, we must 'borrow" 1 lb, or 16 oz, to be able to perform the subtraction. Thus, 20 lb 2 oz becomes 19 lb + 16 oz + 2 oz, or 19 lb 18 oz.
Then the indicated subtraction comes out to 1 lb 8 oz, which represents the baby's weight gain over the past month.
Max wants to purchase a wall hanging. He is choosing between one shaped like a trapezoid and one shaped like a kite. He will choose the wall hanging with the greater area. Which wall hanging will Max choose?
Answer:
Max will choose the wall hanging that is shaped like a trapezoid.
Step-by-step explanation:
To find the area of the trapezoid, break it into a triangle and another trapezoid. Use the formula for the area of a triangle (A=base*height*1/2) and the formula for the area of a trapezoid (A=base+base*height*1/2). The area of the trapezoid is 672 square centimeters.
To find the area of the kite, break it into two identical triangles. (There's a horizontal line between them.) Use the formula for the area of a triangle for both, then add the two areas. The area of the kite is 648 square centimeters.
Finally, we know that 672>648. Therefore, Max will choose the wall hanging that is shaped like a trapezoid.
Hope this helps! Tell me if you have any other questions:)
Answer:trapezoid
Step-by-step explanation:
Two linear functions, f(x) and g(x), are combined by addition to form h(x). The same two linear functions are combined by multiplication to form j(x). Graphs of the resulting combined functions are shown. Which statements are true? Check all that apply. Graph A represents j(x). Graph A represents h(x). The y-intercepts for f(x) and g(x) can be 1 and 3. The y-intercepts for f(x) and g(x) can be 3 and 4. The rate of change of the sum of f(x) and g(x) is greater than that of either function.
Answer: this is the right answer Graph A represents j(x). The y-intercepts for f(x) and g(x) can be 1 and 3. And The rate of change of the sum of f(x) and g(x) is greater than that of either function. your welcome
Step-by-step explanation:
The rate of change of the sum of f(x) and g(x) is greater than that of either function.
How to determine the true statement?From the question, we have the following parameters:
h(x) = f(x) + g(x)j(x) = f(x) * g(x)The graphs of the functions are not given;
However, if all the functions are linear functions, then the slopes of the sum of functions f(x) and g(x) could be greater than the slopes of h(x) and j(x)
Hence, the true statement (by observation) is (c)
Read more about linear functions at:
https://brainly.com/question/4025726
#SPJ1
the radius of 2 spheres are 4 and 12. find the scale factor of the surface areas
Answer:
~ Surface Area 1 = 9 * Surface Area 2 ~
Step-by-step explanation:
Let us look through this problem step by step;
1. The formula to determine the surface area of a sphere is 4πr^2
2. Here we can see that the difference between the two radii of the spheres is that one is 3 times greater than the other
3. So if you were to think about it, in this surface area formula if the radii is squared, the difference between the two surface areas would also be squared. That means that the difference between the surface areas is 3^2, or 9 times the other.
4. This would mean the scale factor to be that one of the spheres surface area is 9 times the other ( Surface Area 1 = 9 * Surface Area 2)
You might need:
Calculator
Skill Sum
Aliaa and Zhang Li are tennis-playing robots capable of placing shots with superhuman precision
thagore
Aliaa is about to hit its next shot to the far corner of the court. It (Aliaa) knows that the distance between
itself and Zhang Li is 520 cm, and it knows that the angle between Zhang Li and the far corner is 53°
Similarly, Zhang Li knows that the angle between Aliaa and the far corner is 100°.
ythagore
What distance should Aliaa hit the ball so that it lands perfectly in the far corner of the court?
Do not round during your calculations. Round your final answer to the nearest centimeter.
pecialrig
cm
100% 150
Aliaa
TV53°
520 cm
Introductie
100
Zhang Li
Show Calculator
Do 5 problems OOOOO
Answer:
1128cm
Step-by-step explanation:
The diagram of the problem is annotated and attached.
In the diagram, we are required to find the distance between Aliaa and the far corner, b.
In Triangle ABC
[tex]\angle A+\angle B+\angle C=180^\circ\\53^\circ+100^\circ+\angle C=180^\circ\\\angle C=180^\circ-153^\circ\\\angle C=27^\circ[/tex]
Using Law of Sines
[tex]\dfrac{b}{sin B} =\dfrac{c}{sin C} \\\dfrac{b}{sin 100} =\dfrac{520}{sin 27}\\b=(520 X sin 100)\div sin 27\\b=1127.997\\b\approx 1128$ cm (to the nearest centimeter.)[/tex]
Therefore, Aliaa should hit the ball a distance of 1128cm so that it lands perfectly in the far corner of the court.
If you flip a coin 10 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
5
Step-by-step explanation:
The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.
Answer:
5
Step-by-step explanation:
Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head
Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5
In Spanish club, the boy-girl ratio is 8-9. if 72 members are girls, how many are boys?
Answer:
The number of boys are 64.
Step-by-step explanation:
We have,
The ratio of the boy to girl is 8:9.
Total number of girls are 72.
Let total boys are 8x and total girls are 9x.
According to the question,
[tex]9x=72\\\\x=8[/tex]
Since, number of boys are 8x. So,
[tex]B=8x=8\times 8=64[/tex]
So, the number of boys are 64.
