Answer:
19.625 cm^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = 3.14 * 5^2 * .25
V =19.625 cm^2
PLEASE HELP! The time it takes to drive from Orangeville to the Vaughan Mills Mall is normally distributed with a mean of 52 minutes and standard deviation of 5 minutes. What intervals could you estimate, using the knowledge from this activity that do not include the mean as a max or min? For example, is an interval we could estimate? However, it includes the mean as the maximum of the interval. Another example is as an example of a probability interval that we know from this activity, but it includes the mean as the minimum.
Answer:
P(X≤57) = 84%
P(X≥57) = 16%
P(47≤X≤57) = 68%
P(X≤47) = 16%
P(X≥47) = 84%
Step-by-step explanation:
We know P(X≤52) = 50%, but this includes the mean as a maximum.
We know P(52≤X≤57) = 34%, but this includes the mean as a minimum.
But if we combine them, we get P(X≤57) = 84%.
We could also say P(X≥57) = 16%.
Since normal distributions are symmetrical, we can also show that P(47≤X≤52) = 34%. So P(47≤X≤57) = 68%, P(X≤47) = 16%, and P(X≥47) = 84%.
Find the midpoint of the line segment joining the points (9.7) and (-3,- 7).
The midpoint is
Answer:
(3,0)
Step-by-step explanation:
The midpoint is found by taking the average of the x points and the average of the y points
x coordinate is (9+-3)/2 = 6/2 = 3
y coordinate is (7+-7)/2 = 0/2 = 0
The midpoint is (3,0)
a train leaves from new york to chicago at 60mph. ANother train leaves from Chicago to New York at 40 mph. How far apary are the train one hour before they pass each other?
Answer:
100 miles
Step-by-step explanation:
Relative Speed: 60+40=100 mph
you can think that one train is stationary,another one is 100 mph
so one hour before the train pass each other，the distance is 100 miles
Find the solution to the equations.
3x - y = -4
X + y = 0
Answer:
x = -1; y = 1
Step-by-step explanation:
3x - y = -4
x + y = 0
Since you have -y and +y in the two equations, you can add them and eliminate y.
Add the equations.
4x = -4
x = -1
Now substitute -1 for x in the second equation and solve for y.
-1 + y = 0
y = 1
Answer:
Both the lines shown by above two equations have same slope = 3 i.e. the lines are parallel to each other i.e. they don't intersect each other hence the given system of linear equations has no solution .
Step-by-step explanation:
Without graphing, determine whether the function represents exponential growth or exponential decay.
y=12^(17\10)
exponential decay
exponential growth
Answer:
Exponential growth
Step-by-step explanation:
The function represents exponential growth and the y-intercept is at (0,12)
Find the value of s.
Answer:
20
Step-by-step explanation:
V = Bh where B is the area of the triangle
2040 = B*12
Divide by 12
2040/12 = B
170 = B
B is the area of the triangle
170 =1/2 bh where b = 17 and h is s
170 = 1/2 (17) s
170 = 8.5 s
Divide by 8.5
170/8.5 = s
20 =s
Now trace the exponential function. How many coordinates (aka ordered pairs) can you find?
Answer:
Infinite
Step-by-step explanation:
Since a graph is made up of coordinates, we have infinite coordinates when we trace the graph. If you are asking for how many solutions there are, there are only 2 solutions (where the 2 graphs intersect).
Simplify:$$\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}$$
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{2\sqrt{8^2+15^2}+\sqrt{9^2+40^2}}=?\\\\1)\sqrt{8^2+15^2}=\sqrt{289}=17\\2)\sqrt{9^2+40^2}=\sqrt{1681}=41\\3)2\times17=34\\4)\sqrt{34+41}=5\sqrt{3}[/tex]
All Done!
Answer:
Your correct answer is 8.660254
Step-by-step explanation:
√2√82 + 152 + √92 + 402 = 8.660254
Simplify $ \left(\sqrt{5}+\sqrt{45}+\sqrt{125}\right)^2$.
Answer:
405
Step-by-step explanation:
[tex]\left(\sqrt{5}+\sqrt{45}+\sqrt{125}\right)^2[/tex]
[tex](\sqrt{5}+3\sqrt{5}+5\sqrt{5})^2[/tex]
[tex](9\sqrt{5} )^2[/tex]
[tex]81 \cdot 5[/tex]
[tex]405[/tex]
The solution for the expression ( √5 + √45 + √125 )² will be 405.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
Let the expression is represented by E.
E = (√5 + √45 + √125 )²
E = (√5 + 3√5 + 5√5 )²
Add all the values and solve further to get the solution for the expression.
E = (9√5)²
E = 81 x 5
E = 405.
Therefore, the solution for the expression ( √5 + √45 + √125 )² will be 405.
To know more about expression follow
https://brainly.com/question/723406
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Simplify y^-2/y^-7. Write your answer with a positive exponent only.
Answer:
y^5
Step-by-step explanation:
y^-2/y^-7
When we divide exponents with the same base, we subtract the exponents
y^ ( -2 - -7)
y^ ( -2+7)
y^ 5
Answer:
y^2
Step-by-step explanation:
One way of doing this problem is to multiply both numerator and denominator by y^7. Doing this we get:
y^(-2+7)
--------------- = y^2
y^(-7+7)
HELPPPPP NEEDED FIRST GETS BRAINLLEST !!!! Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more than Amari, and DJ collected $15.60 less than Kobe. If x = the amount raised by Amari, choose the expressions that represent the amount each other player raised. x + 24.55 x + 8.95 2x – 15.60 3x + 24.55
Answer:
Kobe raised x + 24.55
Amari raised x
DJ raised 2x – 15.60
Hi, What Would Be The Answer?
Answer: A
Step-by-step explanation:
When a point is moved, its new position is referred to as prime('). Thus, if A moves, it becomes A', If B moves it becomes B', etc. Thus, the correct answer is A.
Answer:
The answer should be A
Step-by-step explanation:
Sonya took a total of 12 quizzes over the course of 4 weeks. After attending 5 weeks of school this semester, how many quizzes will Sonya have taken in total?
Answer:
Sonya wouldve taken 15 quizzes over the course of 5 weeks
Step-by-step explanation:
First, you divide 12 by four to get the number of quizzes that she does in one week
12/4=3
Next, you multiply 5 by 3 to see how many quizzes she completes in 5 weeks.
5*3=15
Sonya completes 15 quizzes over the course of 5 weeks.
Answer:
Sonya will have taken 27 quizzes.
Step-by-step explanation:
12 divided by 3 is 4.
5 times 3 is 15.
12 + 15 = 27
Answer is 27 quizzes.
Hope that helps and maybe earns a brainliest!
The total amount of water a tank can hold is 14 and one-half gallons. Raul wants to find out how many 1 and one-fourth-gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Select two options.. StartFraction 29 over 2 EndFraction divided by StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction times StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction times StartFraction 4 over 5 EndFraction StartFraction 2 over 29 EndFraction times StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction divided by StartFraction 4 over 5 EndFraction
Answer:
Water a tank can hold = 14 1/2 = 29/2
Volume of bucket 1 1/4 = 5/4
The expresson can be
29/2 / 5/4
No. of buckets used = 29/2 x 4/5
Answer:
b and e
Step-by-step explanation:
Use the quadratic polynomial x2+x−12 to answer the questions. A: Which summary correctly applies the Fundamental Theorem of Algebra to the quadratic polynomial? B: Which statement correctly verifies the application of the Fundamental Theorem of Algebra? Select one answer for question A, and select one answer for question B. A: This polynomial has a degree of 2, so the equation x2+x−12=0 has exactly two roots. B: The quadratic equation x2+x−12=0 has two real solutions, x=3 or x=−4, and therefore has two real roots. A: This polynomial has a degree of 2, so the equation x2+x−12=0 has two or fewer roots. A: This polynomial has a degree of 2, so the equation x2+x−12=0 has more than two roots. B: The quadratic equation x2+x−12=0 has two real solutions, x=−3 or x=4, and therefore has two roots. B: The quadratic equation x2+x−12=0 has one real solution, x=3, and therefore has one real root with a multiplicity of 2.
Answer:
It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two rootStep-by-step explanation:
Given the quadratic polynomial x²+x−12, the highest power in the quadratic polynomial gives its degree. The degree of this quadratic polynomial is therefore 2. This means that the equation has exactly two solutions.
Let us determine the nature of the roots by factorizing the quadratic polynomial and finding the roots.
x²+x−12 = 0
x²+4x-3x−12 = 0
= (x²+4x)-(3x−12) = 0
= x(x+4)-3(x+4) = 0
= (x-3)(x+4) = 0
x-3 = 0 and x+4 = 0
x = 3 and -4
This shows that the quadratic polynomial has two real roots
It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two roots
If f(x) = 5x – 1, then f^-1(x)=
Step-by-step explanation:
f(x) = 5x – 1
To find the inverse equate f(x) to y
That's
f(x) = y
y = 5x - 1
Interchange the terms
x = 5y - 1
Make y the subject
we have
5y = x + 1
Divide both sides by 5
y = x+1/5
Therefore f^-1(x)= x + 1/5
Hope this helps you
Which point is on the graph of the equation y = 4x - 3?
Answer:
D. (2, 5)
Step-by-step explanation:
In order to determine whether an ordered pair is on the graph of a given equation, when we plug the x-coordinate in for x and the y-coordinate in for y, the equation should hold true.
Let's try each of the answer choices:
A. (4, -3)
y = 4x - 3
-3 =? 4 * 4 - 3
-3 =? 16 - 3
-3 =? 13
This is clearly wrong, so eliminate A.
B. (3, 4)
y = 4x - 3
4 =? 4 * 3 - 3
4 =? 12 - 3
4 =? 9
This is clearly wrong, so eliminate B.
C. (1, -1)
y = 4x - 3
-1 =? 4 * 1 - 3
-1 =? 4 - 3
-1 =? 1
This is clearly wrong, so eliminate C.
D. (2, 5)
y = 4x - 3
5 =? 4 * 2 - 3
5 =? 8 - 3
5 =? 5
This is true, so D is the answer.
Our answer is thus D.
~ an aesthetics lover
Answer:
The answer is D
(2,5)
Step-by-step explanation:
What is the value of (-5)^4?
Answer:
There you go mate!
Step-by-step explanation:
(4x - 5y + 3z) + (-4x +5y +3z)
Answer:6z
Step-by-step explanation:
Question:
(4x - 5y + 3z) + (-4x +5y +3z)
First Step:
Remove parenthesis
4x - 5y + 3z + -4x +5y +3z
Second Step:
Add like terms
4x + -4x = 0
-5y + 5y = 0
3z + 3z = 6z
Final Answer
6z
<!> Brainliest is much Appreciated! <!>
Answer:
6z
Step-by-step explanation:
(4x - 5y + 3z) + (-4x +5y +3z)
Combine like terms
4x - 4x -5y +5y +3z+3z
0+0+6z
6z
Joshua is going to mow lawns during his summer break. The graph in the figure shows a linear relationship between the number of weeks he will be
mowing and the number of lawns he will mow. If he earns $25 for each lawn he mows, how much money will he earn after mowing lawns 5 weeks?
A. $125
B. $750
C. $1,500
D. $3,000
Answer:
$1,500
Step-by-step explanation:
We see on the graph that he mows 60 lawns in 5 weeks so if we multiply 60 by 25 because 25 is the amount of money he makes for each lawn he mows, we get 1,500 dollars.
please mark me brainliest!
Someone help I really need this answered it’s very important!!
Answer:
74 degrees
Step-by-step explanation:
180 degrees-32 degrees
=148 degrees/2
1=74 degrees
When constructing parallel lines, how can you verify the lines constructed are parallel?t is being constructed based on the markings in the following diagram?
Answer:
You can verify if lines are parallel if they have the same slope and different y-intercepts and if they don't intersect each other. You can also graph the 2 equations to see if they ever intersect.
Step-by-step explanation:
Answer:
C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right
Step-by-step explanation:
Which of the following are roots of the polynomial function? Check all that apply f(x) = x^3 + 3x^2 - 9x + 5
Answer:
x = 1 or x = -5
Step-by-step explanation:
Solve for x:
x^3 + 3 x^2 - 9 x + 5 = 0
The left hand side factors into a product with two terms:
(x - 1)^2 (x + 5) = 0
Split into two equations:
(x - 1)^2 = 0 or x + 5 = 0
Take the square root of both sides:
x - 1 = 0 or x + 5 = 0
Add 1 to both sides:
x = 1 or x + 5 = 0
Subtract 5 from both sides:
Answer: x = 1 or x = -5
Select the best answer for the question
19. Solve -4(6x + 3) = -12[x 10).
A.X=2
B.X= 9
C. x=5
D. X=-5
[tex]g(x) = 3x - 6[/tex]and
[tex] {g}^{ - 1}(x) = \frac{x + 6}{3} [/tex]. With g(x) and
[tex] {g}^{ - 1}(x)[/tex], find
[tex] {g}^{ - 1}(g(10))[/tex]. Make sure to show your work.
Hey there! :)
Answer:
[tex]g^{-1} (g(10))=10[/tex]
Step-by-step explanation:
Begin by calculating g(10):
g(x) = 3x - 6
Substitute in 10 for x:
g(10) = 3(10) - 6
g(10) = 30-6
g(10) = 24.
Plug '24' into 'x' into [tex]g^{-1} (x)[/tex]
[tex]g^{-1} (24)=\frac{(24) + 6}{3}[/tex]
Simplify:
[tex]g^{-1} (24)=\frac{30}{3}[/tex]
[tex]g^{-1} (24)=10[/tex]
Given the similarity statement ΔDEF ∼ ΔXYZ, which side corresponds with ED¯¯¯¯¯¯¯¯? Question 2 options: A) EF¯¯¯¯¯¯¯¯ B) ZY¯¯¯¯¯¯¯ C) YX¯¯¯¯¯¯¯¯ D) XZ¯¯¯¯¯¯¯¯
Answer:
Option C.
Step-by-step explanation:
The given similarity statement is
[tex]\Delta DE F\sim \Delta XYZ[/tex]
We need to find the side which is corresponds with ED.
According to the given similarity statement the pairs of corresponding sides are:
[tex]DE\text{ and }XY\Rightarrow ED\text{ and }YX[/tex]
[tex]EF\text{ and }YZ\Rightarrow FE\text{ and }ZY[/tex]
[tex]DF\text{ and }XZ\Rightarrow FD\text{ and }ZX[/tex]
Since, YX is corresponds with ED, therefore, the correct option is C.
Answer:
The answer is: C) YX
Step-by-step explanation:
Drag each tile to the correct box.
Amy, Rick, and Nisha are investing in three different types of stocks, What type of stock is each person investing in?
Amy invests in shares that won't be affected
by exchange rate fluctuations.
As a part of Rick's full-time benefits package,
he can invest in company stock,
Nisha needs to research the political situation in a
specific country before she purchases stock.
employer stock
international stock. Domestic stock
Answer:
Amy invested in domestic stock
Rick invested in Employer stock
Nisha invested in International stock
Step-by-step explanation:
Amy invested in domestic stock
Rick invested in Employer stock
Nisha invested in International stock
Domestic stocks are the shares of a company in different sectors within a given country. Since this stocks are traded within the country, they are not affected by exchange rate fluctuations.
Employers stocks are stocks that gives employers an ownership in their place of work
Foreign stocks are stocks of companies outside a country, this stocks are affected by various factors such as political situation in a specific country, security in the country e.t.c.
Answer:
As a part of Rick’s full-time benefits package,
he can invest in company stock.
- Employer stock
Nisha needs to research the political situation in a
specific country before she purchases stock.
employer stock
- international stock
Amy invests in shares that won’t be affected
by exchange rate fluctuations.
- domestic stock
Step-by-step explanation:
A point located at (6, 4) is reflected over the x-axis. What are the coordinates of the image?
(6,4)
(-6,-4)
(-6,4)
(-4, 6)
Answer:
(6,-4)
Step-by-step explanation:
Reflecting over the x axis means flipping the point or line over it. Therefore the point's y value would the opposite from the beginning.
Answer:
(6, -4)Step-by-step explanation:
For any point reflected over the x-axis, the x-coordinate stays the same and the y-coordinate becomes negative.
6 stays the same
4 becomes -4.
I'm always happy to help :)Susan saw birds and mice eating seeds on the ground. She counted 14 heads and 40 legs in total. How many birds and mice are on the ground?
Answer:
Number of mice = 6
Number of birds = 8
Step-by-step explanation:
Given:
Total number of heads = 14
Total number of legs = 40
Find:
Number of birds
Number of mice
Computation:
Assume,
Number of birds = x
Number of mice = y
So,
x + y = 14
x = 14 - y.............Eq1
We know that mice have 4 legs and birds have 2
So,
2x + 4y = 40
x + 2y = 20............Eq2
From Eq1 and Eq2
14 - y + 2y = 20
y = 6
Number of mice = 6
x = 14 - y
x = 8
Number of birds = 8
Gabe can wrap 1 2/3 presents in 1/3 hour. how many presents can gabe wrap per hour?
Answer:
100/3
Step-by-step explanation:
Answer: 5 gifts
Step-by-step explanation:
In 1/3 of an hour, 5/3 gifts
In 2/3 of an hour, 5/3 x 2 = 10/3 gifts
In 1 hour, it is 5/3 + 10/3 = 15/3 = 5 gifts
