Answers
Answer:
452.389342 cubic inches
Step-by-step explanation:
The volume of a sphere is calculated using the formula V = 4/3 pi r^3
to determine the radius, you can notice that 4 spheres take up 24 in in length. This means that the radius of 1 sphere is 24/4/2 = 3 inches.
from there we plug and play: V = 4/3 * pi * 3^3 = 113.097336 cubic inches.
Note that this is only the volume of 1 sphere, so we multiply by 4
and we get 452.389342 cubic inches
Answer:
452.4
Step-by-step explanation:
Radius of each sphere: 24/4/2=3
Formula for volume: (4pir^3)/3
Formula for 4 spheres: 4 times (4pir^3)/3
Substitute 3 for r
Related Questions
Two angles of a quadrilateral measure 133⁰ and 188°. The other two angles are in a ratio of
6:7. What are the measures of those two angles?
Answers
Answer:
18 and 21
Step-by-step explanation:
We take those two angles as 6x and 7x
133⁰ + 188° + 6x + 7x = 360(Sum of angles of a quadrilateral)
321+13x=360
13x=360-321
13x=39
x=39/13
x=3
6x=6x3=18
7x=7x3=21
ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.
Answers
Answer:
d. 18
Step-by-step explanation:
Lengths AG and CF of the parallelogram are equal.
i.e AG = CF
where AG = 2x + 10
CF = 5x -2
→ 2x + 10 = 5x-2
(collecting like terms): 5x - 2x = 10 + 2
→ 3x = 12
x=12÷3 = 4
∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18
∴ CF = 18 (answer)
Write the expression in exponential notation.
27 27 27 27
O 274
O 427
.
O 331, 776
O 27.4
Answers
Answer:
27^4
2.74*10^2
4.27*10^2
Step-by-step explanation:
in exponential notation the number is expressed like this.
The heights of the bars of a histogram correspond to _______ values. the heights of the bars of a histogram correspond to frequency values.
Answers
The heights of the bars of a histogram corresponding to frequency values.
This is further explained below.
What is the frequency?Generally, The number of instances of a recurring event that takes place in a certain amount of time is referred to as its frequency.
When compared to spatial frequency, it is sometimes referred to as temporal frequency, and when compared to angular frequency, it is sometimes referred to as ordinary frequency.
Both of these names stress the difference between the two types of frequency.
In conclusion, The heights of the individual bars in a histogram correspond to the frequency values being shown.
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At a shelter, 4% of the dogs are puppies. There are 200 dogs at the shelter. How many are puppies?
Answers
Answer:
8
Step-by-step explanation:
Which of the following systems of equations is an example of one where substitution is the best method?
A.) x = 4
y = 11
B.) y = 2/7x + 11
3x - 4y = -24
C.) 5x + 3y = 15
-3x = 6y = 12
D.) 4x - 5y = 20
-6x + 2y = -42
Answers
Answer:
B sorry if im incorrect
Step-by-step explanation:
Just number 4 pleaseee
Answers
Answer:
blip
Step-by-step explanation:
blipgg
Frederick purchased a large amount of candy for a school event. After the event, of the candy was left over. Frederick put of the left over candy in the faculty break room, and then he took the rest of it home.
Answers
Step-by-step explanation:
teyrucjq kfuq teyrucjq
Complete the following 7 WK 3 Financial
Exercises: Problem Set 1, Part 1 questions using
either the financial functions in Excel® or the
Present Value and Future Value formulas shown:
Present value formula:
Future value formula:
Question
PV = FV * 1/(1+i)^n
FV=PV *(1+i)^n
Answer
Insert your answer. Brainly...
1. If you want to have $60,000 in 8 years, how
much do you need to deposit in the bank today if
the account pays an interest rate of 9%?
2. What will $110,000 grow to be in 9 years if it is
invested today at 11%?
Insert your answer.
3. You would like to have $200,000 in a college
fund in 15 years. How much do you need today if
you expect to earn 12% while you are investing to
pay for your child's college?
Insert your answer.
4. You have been offered $3,000 in 4 years for
providing $2,000 today into a business venture
with a friend. If interest rates are 10%, is this a
good investment for you?
Insert your answer.
5. What will $82,000 grow to be in 11 years if it is
invested today at 8% and the interest rate is
compounded monthly?
Insert your answer.
6. How many years will it take for $136,000 to
grow to $468,000 if it is invested in an account with
an annual interest rate of 8%?
Insert your answer.
7. At what interest rate must $112,000 be invested
so that it will be worth $392,000 in 14 years?
Insert your answer.
Answers
Answer:
I am solving this Question since morning but I am not able to complete
The set of all points in a plane that lie the same distance from a single point in the plane
Which one is the answer:
Collinear
Angel
circle
coplanar
or...
Answers
Answer:
circle
Step-by-step explanation:
circle is a set of all those points in a plane that lie the same distance from a single point in the plane .
Plz help me I have a f in math class and if tht f stays there they kick me out of school and then I have to go to a never one so plz get them right for me ..and u will get Brainliest
Answers
Answer:
234Step-by-step explanation:
surface area = 2( LW + LH + WH)
where L = Length = 9
W = Width = 2
H = Height = 9
plugin values into the formula:
surface area = 2 ( LW + LH + WH)
= 2 ( 9*2 + 9*9 + 2*9 )
= 2 ( 18 + 81 + 18 )
= 2 (117)
= 234
Answer:
162
Step-by-step explanation:
9x9x2=162
(will give brainliest)
2x^2-x>0
Answers
Answer:
x<0 or x>1/2
Step-by-step explanation:
Answer:
X<0 or x>1/2
Step-by-step explanation:
8. Brandon went to the Montgomery County Fair. There was a cost of $15.00 to park his car and tickets
cost $.75 each. (6 points)
NOTE: Be sure to use proper notation and identify/label your variables.
I
a) Write a function that will help Brandon determine the total amount of money he will spend at the
county fair based on the number of tickets he will purchase.
Answers
Answer:
15+0.75x
Step-by-step explanation:
x=number of tickets
what percentage of 440 is 325
Answers
The answer would be 73.86
please help me i really need it
Answers
Answer:
Step-by-step explanation:
From the given information, we know that 14 boys chose German and 10 boys chose French. However, we don't have data on the number of girls choosing German or French.
Let's assume x girls chose German and y girls chose French.
Therefore, the completed two-way table would look like this:
French German Total
-----------------------------------
Boys 10 14 24
Girls y x x+y
Total 10+x 14+y 50
As for calculating the probability of picking a boy who chose German, we can use the formula:
P(Boy and German) = Number of boys who chose German / Total number of students
= 14 / 50
= 0.28 or 28%
Please note that without information about the number of girls choosing German or French, we cannot determine the specific values for boys and girls in each category.
Help asap please I really need it.
Answers
Answer:
Step-by-step explanation:
y = 4 + 5x what is the missing value
Answers
Answer: -1
Step-by-step explanation:
Find the volume of the figure. Round to the nearest hundredth if necessary.10 km9 km5.3 km 6 km6 km
Answers
Answer:
159 cubic km.
Explanation:
The given figure is a triangular prism. To calculate the volume, we use the formula below:
\(Volume,V=Base\;Area\times Length\)First, the base area is calculated:
• The base of the Triangular Cross-section = 10 km
,• Perpendicular Height = 5.3 km
\(Base\;Area=\frac{1}{2}\times10\times5.3=26.5\;km^2\)The length of the prism = 6 km
Therefore, the volume:
\(V=26.5\times6=159\;km^3\)The volume of the figure is 159 cubic km.
A line has a y-intercept of 6 and a slope of 10. What is its equation in slope-intercept form?
Answers
Answer:
ewrwr33r2ewrwrerw3t
Step-by-step explanation:
Writing the equation of the line through two given points(-1,5) (3,-1). y=mx+b form
Answers
Hello!
First, let's discover the slope using the formula below:
\(\text{slope}=\frac{y_2-y_1}{x_2-x_1}\)Let's use (x1, y1) as (-1, 5) and (x2, y2) as (3, -1). Replacing it in the formula:
\(\text{slope}=\frac{-1_{}-(5)_{}}{3_{}-(-1)_{}}=\frac{-1-5}{3+1}=\frac{-6}{4}=-\frac{3}{2}\)So, we know one part of the equation, that m = -3/2.
Now, we have to calculate b:
To do it, let's use the point (x2, y2) = (3, -1) again:
\(\begin{gathered} y=mx+b \\ -1=3\cdot(-\frac{3}{2})+b \\ -1=-\frac{9}{2}+b \\ -b=-\frac{9}{2}+1 \\ -b=-\frac{7}{2} \\ b=\frac{7}{2} \end{gathered}\)So, we also know that b = 7/2.
Now, writing it as an equation:\(\begin{gathered} y=mx+b \\ y=-\frac{3}{2}x+\frac{7}{2} \end{gathered}\)research suggests that people who work in business and professional settings spend 26% of their time speaking, compared to 23% writing, and 19% reading. what percentage do those same people spend listening?
Answers
32% of the same people spend their time listening.
The total number of mentioned people will be 100% or 1. Now, in the total people, the remaining ones who are not stated in the question, must be the listeners. Thus, calculating the remaining percentage of people, we will get the percentage of listeners in same people.
So, number of people who spend time speaking = 26%
Number of people who spend time speaking = \(\frac{26}{100}\)
Number of people who spend time speaking = 0.26
Number of people who spend time writing = 23%
Number of people who spend time writing = \(\frac{23}{100}\)
Number of people who spend time writing = 0.23
Number of people who spend time reading = 19%
Number of people who spend time reading = \(\frac{19}{100}\)
Number of people who spend time reading = 0.19
Total number of people involved in activities other than listening = 0.26 + 0.23 + 0.19
Total number of people involved in activities other than listening = 0.68
People who spend time listening = 1 - 0.68
People who spend time listening = 0.32
Percentage of people who spend time listening = 0.32 × 100
Percentage of people who spend time listening = 32%
Hence, 32% of the same people spend their time listening.
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A triangle has sides with lengths of 13 centimeters, 84 centimeters, and 85 centimeters. Is it a right triangle?
Answers
If a^2 + b^2 = c^2, then it’s a right triangle! If it’s less than c^2, it’s obtuse and if it’s greater than c^, it’s acute.
Given__________
there is one,
and only one, line perpendicular to the plane through that point.
Answers
Answer:
plane containing a line
Step-by-step explanation:
In accordance with a plane postulate corollary, it is concluded that, for a given PLANE CONTAINING A LINE, there is one and only one perpendicular line through a given point on the line.
Hence, in this case, the correct complete statement is written as: Given PLANE CONTAINING A LINE there is one, and only one, a line perpendicular to the plane through that point.
Problem
Life is Good is a remote island in the Atlantic. The inhabitants grow wheat and breed poultry. The accompanying table shows the maximum annual output combinations of Wheat and poultry that can be produced. Obviously, given their limited resources and available technology, as they use more of their resources for wheat production, there are fewer resources available for breeding poultry.
Maximum annual output Quantity of wheat Quantity of Poultry
options
(pounds)
(pounds)
1
1200
0
2
1100
300
3
900
450
4
600
600
5
400
725
6
200
775
7
0
850
1. What is the opportunity cost (in terms of poultry given up) of increasing the annual output of wheat from 900 to 1100 pounds? (10% of grade)
2. What is the opportunity cost (in terms of poultry given up) of increasing the annual output of wheat from 200 to 400 pounds? (10% of grade)
Answers
In the given scenario, the inhabitants of Life is Good island produce both wheat and poultry. The table provides the maximum annual output combinations of wheat and poultry that can be produced, based on the available resources and technology.
To determine the opportunity cost of increasing the annual output of wheat, we compare the quantity of poultry given up in each scenario. Specifically, we calculate the difference in poultry quantity between two output levels of wheat: from 900 to 1100 pounds, and from 200 to 400 pounds.
To calculate the opportunity cost of increasing the annual output of wheat from 900 to 1100 pounds, we need to compare the corresponding quantities of poultry. From the table, we can see that the quantity of poultry decreases from 450 pounds to 300 pounds when wheat production increases from 900 to 1100 pounds. Therefore, the opportunity cost of this increase in wheat output is 150 pounds of poultry (450 - 300).
Similarly, to calculate the opportunity cost of increasing the annual output of wheat from 200 to 400 pounds, we compare the quantities of poultry. The table shows that the poultry quantity decreases from 775 pounds to 725 pounds when wheat production increases from 200 to 400 pounds. Hence, the opportunity cost of this increase in wheat output is 50 pounds of poultry (775 - 725).
In both cases, the opportunity cost is determined by the reduction in poultry quantity resulting from an increase in wheat production.
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A professor believes the students in a statistics class this term are more creative than most other students attending the university. A previous study found that students at the university had a mean score of 40 on a standard creativity test, and the current class has an average score of 47 on this scale with an estimated population standard deviation of 5. The standard deviation of the distribution of means is 1.30. If there were 16 students in the class, and the professor wanted to test the null hypothesis described in the scenario using the 5% level of significance, the cutoff t score would be:
Answers
Since our calculated t score of 14.4 is much larger than the cutoff t score of 2.131, we can reject the null hypothesis and conclude that the mean creativity score of the current statistics class is significantly different from the mean creativity score of the rest of the university students.
The null hypothesis in this scenario is that the mean creativity score of the current statistics class is not significantly different from the mean creativity score of the rest of the university students, which is 40.
We can use a one-sample t-test to test this hypothesis, where the test statistic is calculated as:
t = (sample mean - population mean) / (sample standard error)
where the sample standard error is calculated as:
standard error = population standard deviation / sqrt(sample size)
Plugging in the given values, we have:
t = (47 - 40) / (5 / sqrt(16)) = 14.4
To find the cutoff t score at the 5% level of significance with 15 degrees of freedom (16 students - 1), we can use a t-distribution table or a calculator. Using a table, we find that the cutoff t score is 2.131.
Therefore, since our calculated t score of 14.4 is much larger than the cutoff t score of 2.131, we can reject the null hypothesis and conclude that the mean creativity score of the current statistics class is significantly different from the mean creativity score of the rest of the university students.
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Use the limit definition of the derivative to find the derivative of the function ƒ (x) = x-2 will NOT get credit. Justify your answer. 2. Find lim X--2- x² +5x x2-4 If you use any other method you
Answers
The derivative of the function ƒ (x) = 3/x+2 is: f'(x) = lim [h→0] [ -3/(x+2)² ]
Here, we have,
given that,
the equation is:
f(x) = 3/x+2
now, we have,
derivative of f(x) is:
f'(x) = lim [h→0] [f(x+h) - f(x)/h]
substituting the values, we get,
f'(x) = lim [h→0] [3/(x+h)+2 - 3/x+2 /h]
f'(x) = lim [h→0] [ -3h/h(x+2)(x+h+2) ]
f'(x) = lim [h→0] [ -3/(x+2)(x+h+2) ]
now, we have, (x+h+2)≈(x+2) [as, h→0]
so, we get,
f'(x) = lim [h→0] [ -3/(x+2)² ]
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complete question :
attached.
Sarah has x nickels and y dimes. She has a maximum of 18 coins worth no less than $1.20 combined. Solve this system of inequalities graphically and determine one possible solution. Come up with two inequalities
Answers
Answer:
Since the point (2,12) is inside the double shaded region, one possible solution to the system of inequalities would be:
Sarah could have 2 nickels and 12 dimes.
Step-by-step explanation:
Variable Definitions:
x = the number of nickels
y = the number of dimes
“a maximum of 18 coins" → 18 or fewer coins
Therefore the total number of coins, x + y, must be less than or equal to 18:
x + y ≤ 18
“no less than $1.20" → $1.20 or more
One nickel is worth $0.05, so x nickels are worth 0.05x. One dime is worth $0.10, so y dimes are worth 0.10y. The total 0.05x+0.10y must be greater than or equal to $1.20:
0.05x + 0.10y ≥ 1.20
Solve each inequality for y:
x + y ≤ 18 0.05x + 0.10y ≥ 1.20
y ≤ 18−x 0.10y ≥ 1.20 − 0.05x
y ≥ 1.20 - 0.05x / 0.10
y ≥ 12 − 1/2x
Graph y ≤ 18 − x by shading down and graph y ≥ 12 − 1/2x by shading up: (png given)
Step-by-step explanation:
WHAT IS ANOTHER NAME FOR NATURAL NUMBERS?
PLs answer!
Answers
Answer:
Natural Numbers (N), is also called positive integers, counting numbers, or natural numbers.
✌✌✌✌
Answer:
Another name of natural number is called counting number.
a country has three denominations of coins, worth 7, 10, and 53 units of value. what is the maximum number of units of currency which one cannot have if they are only carrying these three kinds of coins?
Answers
the maximum number of units of currency that one cannot have using only the denominations of 7, 10, and 53 units is 53.
To determine the maximum number of units of currency that one cannot have using only the given denominations of 7, 10, and 53 units, we can apply the Frobenius coin problem or the Coin Change Problem.
The Frobenius coin problem states that for any two relatively prime positive integers a and b, the largest number that cannot be expressed as an integer combination of a and b is ab - a - b.
In this case, the given denominations are 7, 10, and 53 units. Let's find the maximum number of units that cannot be obtained using only these denominations.
Using the Frobenius coin problem formula, we calculate:
ab - a - b = (7)(10) - 7 - 10 = 70 - 7 - 10 = 53
Therefore, the maximum number of units of currency that one cannot have using only the denominations of 7, 10, and 53 units is 53.
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Answer:
46
Step-by-step explanation:
See Frobenius Coin problem I'm lazy
What system of linear inequalities is shown in the graph?
Answers
Answer:
2,-5,1
Step-by-step explanation: