Step-by-step explanation:
prisms are of varying types from
1. Triangular.
2. Square.
3. Rectangular.
4. Pentagonal.
5. Hexagonal prism
From the give information the prism is a square prism
length in meters= m
width in meters = m
height in meters= m
the volume of a square prism is expressed as
volume= length* width* height
[tex]volume= = m*m*m= m^3[/tex]
Analyze the diagram below and complete the instructions that follow.
Find the value of x.
Answer:
x=30
Step-by-step explanation:
2x=y-x
3x=y
2y=180
y=90
x=30.
53: PLEASE HELP Does -x+4y=-5 represents a direct variation?
Answer:
No, it does not.
Step-by-step explanation:
Immediately from the given equation, we can see that it has a constant (-5).
Direct variation equations are in the form y=kx, where k is an coefficient. There are no constants in direct variations.
Find the volume of this using this formula: v=LWH
Answer:
1200
Step-by-step explanation:
Two quantities are related, as shown in the table below: x y 2 10 4 9 6 8 8 7 please help! Which equation best represents the relationship?
y = 1 over 2x + 11
y = negative 1 over 2x + 11
y = 2x + 10 y = 2x + 11
Answer:
y = negative 1 over 2x + 11
Step-by-step explanation:
Given the table :
X - - - - Y
2 - - - - 10
4 - - - - 9
6 - - - - 8
8 - - - - 7
The equation can be modeled using the equation of a line or linear equation and obtaining the equation of the best fit
y = mx + c
x and y are the variables
m = slope or gradient of the line
c = intercept
The equation can be obtained by using the linear regression calculator, Inputting the x and y values which yields the equation of the best fit line.
The result obtained from the calculator is:
ŷ = -0.5X + 11
Step-by-step explanation: y = negative 1 over 2x + 11 is the correct answer. I took the test. Have a good day! :D
Mark, Paul and Brian share some sweets in the ratio 3:4:2. Mark gets 27 sweets. How many sweets are there altogether.
Answer:
Hello!
~~~~~~~~~~~~~~~~~
Your answer would be x = 81
Step-by-step explanation:
given ratio = 3:4:2
sum of the terms of the ratio = 3+4+2=9
no. of sweets mark got = 27
3/9 × x =27
x = 81
no.of sweets paul got = 4/9 × 81 = 36
no. of sweets brian got = 2/9 ×81 = 18
total number of sweets = 81
So your answer would be x = 81
Hope this helped you!
Answer:81 sweets
Step-by-step explanation:
Total ratio = 3+4+2 =9
Therefore if 3=27
9=27*9/3=81 total sweets
Find the P-value for the indicated hypothesis test. In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%. Group of answer choices
Answer:
0.5686
Step-by-step explanation:
The alternative hypothesis would be p ≠ 0.11. Thus, this is a two tailed test.
We are given;
p = 0.11
p^ = 8/88 = 1/11 = 0.0909
n = 88
Formula for the Test Statistic is given by;
z = (p^ - p)/(√(p(1-p)/n))
z = (0.0909 - 0.11)/(√(0.11(1 - 0.11)/88))
z = - 0.572642
z ≈ -0.57
Now, from the z-table to find the P-value at z = -0.57 is; 0.2843
Since this is a two tailed test, we have to multiply the P-value by 2 to get the total P-value.
Thus, P-value = 2 × 0.2843 = 0.5686
Tom, Kristen, Kaley, and Bill bought 333 granola bars to share among themselves. They divided each granola bar into 444 equal portions. Kristen ate 111 portion from each granola bar.
Answer:
Kristen had (3/4) of a granola bar in total.
Then the three other people have 2.25 granola bars to share amongst themselves.
Step-by-step explanation:
Complete Question
Tom, Kristen, Kaley, and Bill bought 3 granola bars to share among themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar.
How many granola bars did Kristen eat.
Solution
4 of them bought 3 granola bars.
Then they divide each granola bar into 4 equal portions.
Each of the 3 granola bars gets divided into 4 equal portions, where each granola bar now has (4 × 1/4) portions.
Each portion is (1/4) of a granola bar.
Kristen then takes 1 portion from the 3 granola bars.
This means she had 3 × (1/4) granola bars.
Kristen had (3/4) of a granola bar in total.
Then the other three people had [3 - (3/4)] of a granola bar to share amongst themselves. It means they had (9/4) or 2.25 granola bars to share amongst themselves.
Hope this Helps!!!
HELPPPP Cos x cosy = 1/2(sin (x+y)+ sin (x-y)) true or false
Answer:
Step-by-step explanation:
REcall that sin(a+b) = sin(a)cos(b)+cos(a)sin(b). Then
sin(a+b)+sin(a-b) = sin(a)cos(b)+cos(a)sin(b) + sin(a)cos(b) -cos(a)sin(b) = 2sin(a)cos(b). Then
sin(a)cos(b) = (1/2)(sin(a+b)+sin(a-b))
So it is false
A company has budgeted 5 1/4 hours to complete a project, with 1/3 of the time spent on research. How much time does the company plan to spend on research? Express your answer as a mixed number.
Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.
First, convert the budget from hours into minutes.
5 1/4 hours = 315 minutes
1 hour = 60 min
1/4 hour = 15 min
60 x 5 = 300
300 + 15 = 315
Then, divide the minutes by 3 or multiply it by 1/3.
315 / 3 = 105
315 x 1/3 = 105
Lastly convert to a mixed number.
1 3/4 hour
Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.
Is 540171 divisible by 9?
Image is attached below.
If the sum of the digits its divisible by 9,
then the original number is divisible by 9.
Since 18 (the sum of the digits) is divisible by 9,
the number 540,171 is also divisible by 9.
Answer:
Yes, The number is divisible by 9
Step-by-step explanation:
If you divide the number by 9 you will get 60019. Also if we add the numbers we will get 18 which is also divisible by 9.
Hope this helps.
The prime factorization of K is: K = 3·5·7. List all the composite factors of K.
Answer: 105, 15, 35, 21
Step-by-step explanation:
3 x 5 x 7 = 105
3 x 5 = 15
5 x 7 = 35
3 x 7 = 21
The list of all composite factors of K are 15, 21, 35, 105.
What is Prime Number?A number which can be divisible by only 1 and the number itself, that number is said to be a Prime Number.
What is Composite Number?A number which can be divisible by factors other than 1 and itself are called Composite Numbers.
What is Prime Factorization?The process to write a number by the product of its prime numbers is called Prime Factorization.
Here given that the prime factorization of K is given by,
[tex]K=3\times5\times7[/tex]
Hence the number is [tex]K=105[/tex].
Composite factors of a number are given by the product of prime factors of that number in different combinations.
Here prime factors are 3,5,7
The composite factors are given by,
[tex]3\times5=15\\5\times7=35\\3\times7=21\\3\times5\times7=105[/tex]
Thus the composite factors of K are given by 15,21,35,105.
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What is the area of the triangle in the diagram?
Answer:
I think the answer is B. Let me know if im right
Step-by-step explanation:
l*w*1/2 is the same as 1/2*y*(x2-x1)
Answer:
B
Step-by-step explanation:
To calculate the area of this triangle we must use vectors :
vector1 (x1-0,y1-0)⇒ vector1(x1,y1)vector2 (x2-0,y1-0)⇒vector(x2,y1)Now to calculte the area of this triangle we must apply this relation :
A= (1/2)*║x1y1-x2y2║
x2≥x1 so ⇒ A=(1/2)*(x2y1-x1y1)A= (1/2)*y1*(x2-x1)Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the number of laps karissa swam was 2 to 3. If Mandy swam 12 laps, how many laps did karissa swim?
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good
support for whether her claim is true or false?
O Her claim is true and she should use these data sets to provide support.
0
1 2
3 4
5 6
7 8 9 10 11
+
+
+
+
+
+
+
+
0
1
2
3
4
5
6
7
8
9 10 11
O
Her claim is true and she should use these data sets to provide support.
+
6
0
3
+
7
1
4
2
5
+ + +
9 10 11
8
Complete Question:
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?
A. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
B. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. A line divides the box at 7.
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
D. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 5.5.
Answer:
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
Step-by-step explanation:
The median of a box plot is indicated by the line that divides the rectangular box into 2.
Also, the interquartile range is a measure of variability. And this is indicated or represented on a box plot by the range of the box. That is the difference between one end of the box and the beginning of the other end to our left.
The data set that can be used to show that Madison claim is false is a data set showing 2 box plots with the same median value but different interquartile range.
Therefore, C is the right option. Both data set in the drop box would have a median of 7. The interquartile range of one of the drop box would be = 9-4 = 5, while the other would be = 8-5 = 3.
This shows 2 data set with the same median can have different variability.
I NEED HELP ASAP PLEASE, A woodworker makes wooden checkerboards. Her profit is a function of the price
she charges. This graph shows her total profits, y, based on the sales price, x, of
each checkerboard.
Identify any zeros of the function, and interpret what the zeros mean in terms of
the situation.
A. Zero: x = 42.5. This is the selling price that will give her the greatest
profit.
B. Zeros: x = 20 and x = 65. These are the prices at which she makes the
least and greatest amounts of profit.
C. Zeros: x = 20 and x = 65. These are the prices at which she neither
makes nor loses money.
D. Zero: y = 1012.5. This is the maximum amount of profit she can make.
Answer:
Option (C)
Step-by-step explanation:
The given graph represents the relation between her profit and the price charged.
x-intercepts from the graph are at,
x = 20 and x = 65, which show the selling prices.
x-intercepts means y = 0
And y = 0 represents no profit no loss.
When we summarize these data,
zeros : x = 20 and x = 65
These are the selling prices that will give her neither profit nor loss.
Therefore, Option (C) will be the answer.
Answer:
its c
Step-by-step explanation:
ap3x verified
A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is: f(x) = x + 30. How will the graph of this function change if the coal car weight is changed to 26 tons?
Answer:
See explanations below
Step-by-step explanation:
In the function
f(x) = x + 30
x represents the volume of coal in cubic yards.
The implicit coefficient of one, i.e. 1x, represents each cubic yard of coal weighs one ton.
The 30 represents the weight in tons of the empty coal car.
Thus when the weight of the coal car is only 26 tons, we replace 30 by 26 to get a new function
f(x) = x + 26.
Dina is x years old. In thirteen years, she will be twenty-four years old. Write it as a mathematical statement.
Answer:
x + 13 = 24.
Step-by-step explanation:
Dina is currently x years old. Plus 13 years, she will be 24. So, we have x + 13 = 24.
x = 11.
Hope this helps!
Answer:
x + 13 = 24
Step-by-step explanation:
Since Dina is x age, we can add in x in the formula. In 13 years, she will be 24, so the total is 24 years old.
So if Dina is x and in 13 years she will be 24, the equation would be x + 13 = 24.
C is opposite___?
Help pls
Answer:
Hey there!
Angle C is opposite to side AB, because it is opening towards that line segment.
Let me know if this helps :)
Expand (x +2) (9 - x)
Answer:
-x²+7x+18
Step-by-step explanation:
(x+2) (9-x).
x(9-x)+2(9-x)
9x-x²+ 18-2x
9x-2x-x²+18
7x-x²+18
-x²+7x+18
Answer:
x^2-7x-18
Step-by-step explanation:
Verified Khan Academy Answer
how many solutions do y=3x-4 y=-2x+7
Answer:
One.
Step-by-step explanation:
It is a linear equation. This means that x is raised to the first power, which there can only be one solution.
Answer:
Hi, the correct answer to your question is Y,X would be (29,11)
ONE SOLUTION
Step-by-step explanation:
First you have to... solve for y
Y equals 2x+7
Next you have to use the variable y and put in into an equation.
2x+7 - 3x = -4 (Also) :) - x = -11
Now you have to solve the equation for the variable x
Which will be 11 (x will be 11)
Finally you have to use x to solve for y
2(11)+7 = 29
Now we have 11 and 29 so the answer to your question will be
= (29,11)
Also this means it has one solution
Btw this is a linear equation...
Hope this helps you! :)
please help ! what’s the correct answer ??
Consider U = {xlx is a real number}.
A = {xlx € U and x + 2 > 10}
B = {x\x € U and 2x > 10}
Which pair of statements is true?
5 & A; 5 € B
6 € A; 6 & B
8 € A; 8 € B
9 € A; 9&B
300=x^2+15x what is x?
Answer:
x = -26.3746, 11.3746
Step-by-step explanation:
Easiest and fastest way to solve for x is to graph x² + 15x - 300 and analyze where the graph crosses the x-axis.
Alternatively, you can use the Quadratic Formula to help solve for x.
is (0,0) a solution to this system? y ≥ x^2-4 y<2x-1
Answer:
No.
Step-by-step explanation:
To determine if the ordered pair is a solution, simply plug it into the equation and check. In other words:
[tex]y\geq x^2-4[/tex]
[tex]0\geq (0)^2-4[/tex]
[tex]0\geq -4[/tex]
This is true. 0 is greater than -4.
[tex]y<2x-1[/tex]
[tex]0<2(0)-1[/tex]
[tex]0<-1[/tex]
This is not true. 0 is greater than -1.
Thus, (0,0) is not a solution.
Answer:
(0,0) is not a solution of the given system.
Step-by-step explanation:
0≥-4 true
0>1 false
(0,0) is not a solution of the system.
Sorry about the screen, I’m using my laptop! Please help me if you know the answer my dumb mind can’t work it out
Answer:
5.9 hours, 10£
Step-by-step explanation:
For the first question, you must find how long it would take 1 knitter to do all the work, and you can move on from there. Since it takes 11 knitters 7 hours, it would take 1 knitter 11 times as long, meaning it would take 7*11=77 hours for 1 knitter. Now we can divide 77 hours by 13 as 13 knitters could to it in 1/13 of the time. Dividing 77 by 13 we get 5.9 hours.
For the second question, if each person pays 9£, and there are 10 people, in total they are paying 10*9£=90£. This means that if the spit it up between 9 people instead, each would by 90£/9=10£. This means they would each have to pay 10£.
What is the slope of the line with equation y−3=-1/2(x−2)?
Answer:
m = -1/2
Step-by-step explanation:
y= m+b
y = -3 = -1/2 (x-2)
y = -1/2(x-2)+3
y = -1/2x-2x(-1/2)+3
y = -1/2+1+3
y = -1/2+4
Hence, the slope is -1/2
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226. What is the input? What is the output? What are the two points described in the real-world scenario?
Answer:
What is the input?
✔ the number of months
What is the output?
✔ the balance in the account
What are the two points described in the real-world scenario?
✔ (5, 442) and (13, 226)
Step-by-step explanation:
I took the test and got these correct.
Hope I helped!! :))
Answer:
✔ the number of months
What is the output?
✔ the balance in the account
What are the two points described in the real-world scenario?
✔ (5, 442) and (13, 226)
explanation:
Which expression is equivalent to 3n+2(1-4n)?
a) 2-n
b) 2-5n
c) 2+11n
d) 2-11n
Samuel chose A as his answer. Explain why he did that.
Answer:
3n +2 -8n
2 - 5n
Step-by-step explanation:
Answer:
He only multiplied the 2 to the first term in the parentheses instead of both terms
Step-by-step explanation:
3n+2(1-4n)
Distribute
3n + 2 -8n
Combine like terms
2 -5n
Samuel made the mistake of incompletely distributing
He only multiplied the 2 to the first term in the parentheses instead of both terms
3n+2(1-4n)
3n +2 -4n
2-n
which name best describes the group of shapes below????
Answer:
parallelograms
Step-by-step explanation:
It's all about diagonals
Which is equivalent to sqrt(450b^9) after it has been simplified completely?
Step-by-step explanation:
[tex]\sqrt{450b^9}[/tex] [tex]\sqrt{450}[/tex] ×[tex]\sqrt{b^9}[/tex] 15[tex]\sqrt{2}[/tex] × b^(9*0.5)15[tex]\sqrt{2}[/tex] × b^(9/2) 15[tex]\sqrt{2}[/tex] × [tex]\sqrt[2]{b^9}[/tex] 15[tex]\sqrt{2\sqrt{b^9} }[/tex]The simplified expression is 6[tex]b^4[/tex]√(12,.5b)
We have,
[tex]\sqrt{450b^9}[/tex]
This can be simplified as,
√450 x [tex]\sqrt{b^9}[/tex]
Finding the perfect square values.
= √(9 x 50) x √(b x [tex]b^8[/tex])
=√(3² x 50) x √b x √([tex]b^4[/tex])²
Square root cancel with perfect square values.
= 3 x √50 x √b x [tex]b^4[/tex]
= 3 x √(4 x 12.5) x √b x [tex]b^4[/tex]
= 3 x 2 x √12.4 x √b x [tex]b^4[/tex]
= 6[tex]b^4[/tex]√(12,.5b)
Thus,
The simplified expression is 6[tex]b^4[/tex]√(12,.5b)
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