Step-by-step explanation:
x=66°
180-118=62°
180-52+62=66°
hope this helps
please help
It is Ms. Smith’s birthday, and her students want to surprise her with a room full of balloons. Use the Fermi process to estimate the number of balloons needed to fill Ms. Smith’s classroom. Assume the classroom is a rectangular prism with a length of 38 ft, a width of 52 ft, and a height of 12 ft. Assume the balloons are spheres with a radius of 0.35 ft. Show your work.
The number of balloons needed to fill the classroom are 46240 balloons (approx)
Concept: Fermi process is the technique that helps to formulate an answer to a problem based on a series of logical assumptions.
No. of balloons = Volume of rectangular prism/ Volume of each sphere (balloon)
Given: The classroom is a rectangular prism with a length of 38 ft, a width of 52 ft, and a height of 12 ft, and the balloons are spheres with a radius of 0.35 ft.
No. of balloons = Volume of rectangular prism/ Volume of each sphere (balloon)
No. of Balloons = 38*52*12/3.14*0.35*0.35*(4/3)
No. of Balloons = 23712/0.5128 = 46240 balloons (approx)
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5 positive integers that have a mode of 2, a median of 5, a mean of 6 and a range of 10.
2,2,5,9,12
The numbers should be 2, 2, 5, 9 and 12.
What is mean, mode and median?
The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.
The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.
Let us take numbers 2, 2, 5, 9 and 12.
Mean = 192+2+5+9+12)/5mean = 30/5
mean= 6
mode = 2median = 5range = 12-2range = 10.
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Which quadratic inequality does the graph below represent?
The quadratic inequality represented by the graph is:
y ≤ 2x² - 8x + 3
Which quadratic inequality does the graph below represent?
First, we can see that the shaded region is below the parabola, and the line of the parabola is solid, which means that the points on the parabola are solutions, then the inequality is:
y ≤ quadratic equation.
Now we need to get the quadratic equation.
Now, if you look at the y-intercept, you can see that it happens at y = 3. Then the constant term of the quadratic equation is 3.
The only one that has that (and the ≤ symbol) y-intercept is the first option:
y ≤ 2x² - 8x + 3
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What is the chance of landing on $500 and then Lose A Turn?
Answer:
B = an event that in the second turn it will land on Lose a Turn. Based from the given wheel, there are 24 equal parts with three $500 and one Lose a Turn. Thus, the probability of landing on $500 then lose a turn is 1921 .
this is possible IF thewheele consists of 24 parts
The chance of landing on $500 and then Lose A Turn will be 1/192. Then the correct option is C.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The diagram is given below.
The total number of the events will be
Total events = 24
Then the chance of landing on $500 will be
The number of favorable events will be
Favorable events = 3
⇒ 3/24
⇒ 1/8
Then the chance of the Lose A Turn will be
Favorable event = 1
⇒ 1/24
The chance of landing on $500 and then Lose A Turn will be
P = (1/24)(1/8)
P = 1/192
The chance of landing on $500 and then Lose A Turn will be 1/192.
Then the correct option is C.
The question was incomplete, but the complete question is attached below.
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students were asked to chose their favorite season if 1/9 of the students chose spring and 3/9 chose summer what fraction chose either spring or summer
Answer:
4/9 of the students chose summer.
Step-by-step explanation:
Think about it this way. There are 9 students being asked what their favorite season is. 1 chose spring, 3 chose summer. Add those together, and you have 4 people that chose either spring or summer. That number goes on top of the fraction. The total amount of people that were asked goes on the bottom, which is 9.
Find the x-intercept(s) and the coordinates of the vertex for the parabola y= x^2 -8x + 12. if there is more than one x-intercept, separate them with commas.
Answer:
(i) x-intercepts: (2, 0), (6, 0)
(ii) vertex : (4, -4)
Explanation:
y = x² - 8x + 12
To find x intercepts, [set y = 0]
x² - 8x + 12 = 0x² - 2x - 6x + 12 = 0x(x - 2) - 6(x - 2) = 0(x - 6)(x - 2) = 0x = 6, x = 2x-intercepts: (2, 0), (6, 0)
To find vertex:
x = -b/2a
= -(-8)/2(1)
= 4
y = x² - 8x + 12
= 4² - 8(4) + 12
= -4
Vertex : (4, -4)
Solve the equation for y=0
x²-8x+12=0x²-6x-2x+12=0x(x-6)-2(x-6)=0(x-2)(x-6)=0x=2,6X inetercepts (2,0) and (6,0)
Vertex :-
x coordinate
-b/2a8/24Y coordinate
4²-8(4)+12-4Verted at (4,-4)
Drag the tiles to the correct boxes. Not all tiles will be used.
Which equation could represent each graphed polynomial function?
y = 14 - 5x² + 4
y = x³ + 27
y = x(x + 3)(x - 2)
y = (x + 1)(x − 3)(x² + 1)
y = x⁴- 5x² + 4 represents the first graph.
y = x(x + 3)(x - 2) represents the second graph.
How to Interpret the graph of a Polynomial?
1) The first polynomial is;
y = x⁴- 5x² + 4
Simplifying this gives us;
y = x⁴- 4x² - x² + 4
y = x²(x² - 4) - 1(x²- 4)
y = (x² - 1)(x² - 4)
y = (x - 1)(x + 1)(x - 2)(x + 2)
Thus, the zeros of this polynomial are; x = -2, -1, 1, 2
From the given graphs attached, first graph has the zeros (x-intercepts) as x = -2, -1, 1, 2.
So graph (1) represents the polynomial y = x⁴- 5x² + 4
2). The second graph shows the x-intercepts at x = -3, 0, 2
Since, y = x(x + 3)(x - 2) is the polynomial with x-intercepts at x = -3, 0, 2
Therefore, y = x(x + 3)(x - 2) represents the second graph.
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The length of an arc of a circle is 26/9 pi
centimeters and the measure of the corresponding central angle is 65 degrees. What is the length of the circle's radius?
The radius will be equal to 7.55 centimeters.
What is the length of arc of the circle?The arc length is the curved length on the circumference of a circle suspended by a small angle.
The radius will be calculated as follows:-
r = [tex]\dfrac{Arc}{Angle}[/tex]
r = [tex]\dfrac{\dfrac{26\pi}{9}}{\dfrac{69\times \pi}{180}}[/tex]
r = [tex]\dfrac{9.07}{1.20}[/tex]
r = 7.55 centimeters
Therefore the radius will be equal to 7.55 centimeters.
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what does ([tex](x^{2}+4x)(x)[/tex] equal
the first definition of an element was made by
If f (x) = one-ninth x minus 2, what is ?
A.
B.
f - 1 Baseline (x) = one-ninth x + 2
f - 1 Baseline (x) = -2 x + one-ninth
Please see picture: helpppppp
Answer:
1st option
Step-by-step explanation:
let y = f(x) and rearrange making x the subject , that is
y = [tex]\frac{1}{9}[/tex] x - 2 ( add 2 to both sides )
y + 2 = [tex]\frac{1}{9}[/tex] x ( multiply both sides by 9 to clear the fraction )
9(y + 2) = x
9y + 18 = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 9x + 18
Answer: A
Step-by-step explanation:
GOT IT RIGHT ON EDG TEST
Which of the following have exactly 1 solution?
Choose all answers that apply.
A. -5x + 12 = -12x - 12
B.-5x+12=-5x-12
C. −5x+12=5x+12
D. −5x+12=5x−5
The equations;
-5x + 12 = -12x - 125x+12=-5x-12−5x+12=5x+12−5x+12=5x−5 all have exactly 1 solution.What is a linear solution?A linear equation is one in which there is only one solution. In a linear solution, the highest power of x is 1.
If we look at the equations listed, we will discover that they are all linear equations, as such;
-5x + 12 = -12x - 125x+12=-5x-12−5x+12=5x+12−5x+12=5x−5Will all have exactly 1 solution.
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whats 27 x 300 / 34 x 6
Answer:
Use Calculator:
Approximately. 1429.411
Step-by-step explanation:
Hope it Helps!!!
Select all the functions that show an inverse variation...
a) y=6x
b) y=3/x
c) y=1/3x
d) y= -.07x
e) y= 2/x+4
f) xy=-3
Function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we know, when x is not equal to zero and k is a nonzero real number constant, the equation of the form xy = k describes the nonlinear function known as inverse variation.
a) y=6x
The above function is a linear function
b) y=3/x
or
xy = 3
The above function shows an inverse variation.
c) y=1/3x
or
y = (1/3)x
The above function is a linear function
d) y= -.07x
The above function is a linear function
e) y= 2/x+4
or
y = (2+4x)/x
xy = 2 + 4x
The above function shows an inverse variation.
f) xy=-3
The above function shows an inverse variation.
Thus, function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.
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1. Choose the description that matches the inequality. x < 1
A line traveling to the left with an closed dot on x=1.
A line traveling to the right with an open dot on x=1.
A line traveling to the right with an closed dot on x=1.
A line traveling to the left with an open dot on x=1.
Answer:
A line traveling to the left with an open dot on x=1.
Explanation:
The inequality x < 1 basically means "less than 1." On number lines, the further left you go, the smaller the number becomes, and the further right you go, the larger the number becomes. So we know that because it's less or smaller than 1, then the line will be to the left. On the other hand, the inequality does not have a line under it to indicate a "less than or equal to 1," just "less than." Therefore, the dot is open. If there were a line under the inequality, then it would indicate "less than or equal to 1" and the dot would be closed.
Let x be normal distribution with mean 70 and standard deviation 2. given the following probability, p (x < a) = 0.9147, find the value a.
The value of a is 72.74.
What is Probability ?Probability is the study of likeliness of an event to happen.
It is given that
The mean [tex]\rm \mu[/tex] of the distribution is 70
Standard deviation [tex]\rm \sigma[/tex] is 2
p( x<a) = 0.9147
a = ?
From Z table
For p ( p < 0.9147) , z = 1.37
[tex]\rm Z = \dfrac { X - \mu}{ \sigma}[/tex]
[tex]\rm \rm 1.37 = \dfrac { a - 70}{ 2}[/tex]
a = 70+ 2*1.37
a = 72.74
Therefore the value of a is 72.74.
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One number is 6 more than twice the other number. If the sum of the two numbers is 21, find the two numbers
Answer:
One number, let's call it x, is 6 more than twice the other number, let's say this number is y.
x= 2y+6
x+y=21
We're left with a system of equations.
If we substitute the first equation in the second we find the value of y.
(2y+6)+y=21
3y+6=21
3y=15
y=5
Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.
x+ (5)=21
x=16
Now to check if our answers are correct, we plug in both values into any equation and see if they equate.
x+y=21
(16)+(5)=21
21=21
Our solution is correct!
What is the solution for the equation 36³-26²-5 6³-2
36²-26²-5-6²²-2²
Answer:
b = 0 and b = 4
Step-by-step explanation:
[tex]\frac{5}{3b^3-2b^2-5}[/tex] = [tex]\frac{2}{b^3-2}[/tex] ( cross- multiply )
2(3b³ - 2b² - 5) = 5(b³ - 2) ← distribute parenthesis on both sides
6b³ - 4b² - 10 = 5b³ - 10 ( subtract 5b³ from both sides )
b³ - 4b² - 10 = - 10 ( add 10 to both sides )
b³ - 4b² = 0 ← factor out b² from each term on the left side
b²(b - 4) = 0
equate each factor to zero and solve for b
b² = 0 ⇒ b = 0
b - 4 = 0 ⇒ b = 4
Which statement describes how the graph of the given polynomial would change if the term -3x^6 is added?
y=2x^6+9x^5-7x^3-1
The correct answer will be option B which is the ends of the graph will extend in the opposite direction.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given equation is as follows:-
y = 2x⁶ + 9x⁵ -7x³ -1
When the term -3x⁶ is added the equation will be reduced in the following form.
y = -3x⁶+2x⁶ + 9x⁵ -7x³ -1
y =-x⁶+9x⁵ -7x³ -1
When we plot the graph of the above equation we will see that the graph will be reduced to the form in which both the ends of the graph lie opposite to each other.
The graph of the equation is attached with the answer below.
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Answer:
B is the correct answer
Step-by-step explanation:
What is the simple interest that is missing from the table? Use the formula mc012-1.jp
$375
r
2.2%
t
3 years
$25.00
$24.75
$2,475.75
$2,500.00
The simple interest is $24.75.
What is the simple interest?The simple interest that is paid on an amount of money is a function of the amount deposited, time and interest rate.
Simple interest = amount deposited x time x interest rate
$375 x 0.022 x 3 = $24.75
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On a coordinate plane, the x-axis is labeled minutes and the y-axis is labeled Blocks. Line A goes through points (10, 4), (15, 12), and (20, 20). Line B goes through points (5, 8), (10, 16), (15, 24). Line C goes through points (5, 24), (15, 16), (20, 12).
The table shows Jose’s rate of bicycle riding.
A 2-column table with 3 rows. Column 1 is labeled Minutes with entries 5, 10, 15. Column 2 is labeled Blocks with entries 8, 16, 24.
Which line on the graph shows the proportional relationship in the table?
Line
on the graph shows the proportional relationship.
Answer:
wait lang yong tppp heheehhehe
Answer:
b is the awancer yw
Step-by-step explanation:
Where does f(x) = 3x2 – 11x – 4 intersect the x-axis?
Answer:[tex]x=-\frac{1}{3}, 4[/tex]
Step-by-step explanation:
Graphs intersect the x-axis where y=0, so we can set f(x)=0.
[tex]3x^2 - 11x-4=0 \\ \\ (3x+1)(x-4)=0 \\ \\ x=-\frac{1}{3}, 4[/tex]
Answer:
negative x intercept is at -1/3
positive x intercept 4
Step-by-step explanation:
Helppp will give brainliest
Let x1 = 21, y1 = −15, and y2 = 9, and let y vary inversely as x. Find x2.
Answer:
The value of [tex]x_{2}[/tex] from inverse variation is (-35).
Step-by-step explanation:
Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases. While direct variation describes a linear relationship between two variables, inverse variation describes another kind of relationship.
An inverse variation can be represented by the equation
xy=k .
That is y varies inversely as x if there is some nonzero constant k.
Here, the product is given by :
x1y1=x2y2
21 x (-15)=x2 x 9
(-315) / 9 = x2
x2=(-35)
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What is the measure of m? 6 3 n 18 m = [?] Give your answer in simplest form. Enter
By solving a system of equations, we will see that m measures 12 units.
How to get the measure of m?
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
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Which best describes the orthocenter of a triangle?
O A The point where the three altitudes of the triangle intersect
O B. The point where the three angle bisectors of the triangle intersect
• C. The point where the perpendicular bisectors of the three sides of
the triangle intersect
O D The point where the three medians of the triangle intersect
Answer:
its A
Step-by-step explanation:
Its a because its A =)
Find the value of x
Find the value of y
Answer:
x = 9
y = 61
Step-by-step explanation:
let me know if you want an explanation!
Given the equation y = x – 2, you substitute 5 for x. Check all true statements below.
The correct value of the given function at x = 5 is y =3.
What is Equation?An equation is a mathematical statement with an 'equal to =' symbol between two expressions that have equal values.
Here, the given equation :
y = x - 2
put x = 5 in the given equation, we get
y = 5 - 2
y = 3
Thus, the correct value of the given function at x = 5 is y =3.
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A running relay team ran a 400 meter race in a record-setting time of 36 seconds. What was their average speed to the nearest tenth of a meter per second?
A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a
delivery fee of $3 per bushel. Supplier B sells B the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week.
Which supplier would cost more if the production company bought 500 bushels of grain each week?
O Supplier B would cost $625 more than supplier A.
© Supplier B would cost $600 more than supplier A
O Supplier A would cost $875 more than supplier B.
© Supplier A would cost $800 more than supplier B.
Subtraction is a mathematical operation that reflects the removal of things from a collection. Supplier B would cost $625 more than supplier A. Thus, the correct option is A.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The cost of 500 bushels from supplier A will be,
Cost = ($5.25 × 500) + ($3 × 500)
= $4,125
The cost 500 bushes from supplier B will be,
Cost = $1,500 + ($6.250×500)
= $4,750
Now, the difference between the two suppliers' costs for 500 bushels will be,
Difference = $4,625 - $4,125 = $500
Hence, Supplier B would cost $625 more than supplier A. Thus, the correct option is A.
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What is the value of K ?
Answer:
the answer is A K= -2.5
Step-by-step explanation:
i did the problem
HELP!!
Which compound inequality is represented by the graph?
-5-4-3-2-1 0 1 2 3 4 5
O-2
0-2 ≤x≤4
O x < -2 or x ≥ 4
O x≤-2 or x > 4
Answer: Choice C
[tex]x < -2 \text{ or } x \ge 4[/tex]
==========================================
Reason:
The portion on the left represents [tex]x < -2[/tex] because of the open circle at -2 and shading pointing to the left. This represents all numbers smaller than -2.
The portion on the right represents all values that are 4 or larger; hence [tex]x \ge 4[/tex]. Note the use of a closed circle at 4 to include this value.
We connect those two inequalities with the keyword "or" because x can only pick one of those options, but not both at the same time.