Advise the committee of the minimum number of shade tents that must be set up to hold all the balloons so that they don’t fly away ?
Answers
The maximum number of spherical balloons that can be held in the canopy will be 30.
What is a canopy?The canopy is the fabric cover that hangs above a bed. It is a covering that is fastened to or carried over a dignitary or a holy item.
The base layer of spheres in a square pyramidal arrangement has n2 balls, where n is the number of balls that make up a square's side.
n=4 inch
The total number of spheres in the pyramid is;
⇒n(n+1)(2n+1)/6
⇒4(4+1)(2×4+1)/6
⇒(4×5×9)/6
⇒30
Hence, in the canopy, 30 spherical balloons are the most that may be accommodated.
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Related Questions
Please answer BOTH the questions xoxo <3
Answers
Answer:
First Image: Choice B
Second Image: Choice B
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
First Image:
In our equation, y = 0.1x + 1,
we see that the y-intercept of the line is 1 and the slope is 0.1
We can simple plug in the x values to test if the table is true:
x = -1
y = 0.1x + 1 → y = 0.1(-1) + 1 → y = -0.1 + 1 → y = 0.9
This proves choices A and C are INCORRECT
The next point is at x = 10
y = 0.1x + 1 → y = 0.1(10) + 1 → y = 1 + 1 → y = 2
Making choice D INCORRECT
Hence, you've selected the correct choice (B)!
Second Image:
In our equation, y = 3x + 2,
we see that the y-intercept of the line is 2 and the slope is 3
Choice A is INCORRECT due to (0,0) not logical as the y-intercept is 2
Choice B is CORRECT due to (1/3, 3) not logical as that 3 = 3(1/3) + 2
6 = 3(4/3) + 2 → 6 = 4 + 2. → 6 = 6
3 = 3(1/3) + 2 → → 3 = 1 + 2. → 3 = 3
20 = 3(6) + 2 → 20 = 18 + 2. → 20 = 20
Choice C is INCORRECT due to (-6, 20) not logical as that 20 = 3(-6) + 2
Choice D is INCORRECT due to (10, 4) not logical as that 10 = 3(4) + 2
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The function g is related to one of the parent functions g(x) = |x − 1| + 5
a.) Identify the parent function f.
b.) Use function notation to write g in terms of f.
Answers
If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = |x|.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
The function g is related to one of the parent functions g(x) = |x − 1| + 5.
Then the parent function f(x) will be
f(x) = |x|
If the function f(x) is shifted right by one unit and upward by 5 units, then the function f(x) will be equal to the function g(x).
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I need help with number 10 and I'm not sure if a or b is correct either.
Answers
Answer:
:)
Step-by-step explanation:
You don't need help. You got all the answers correct. :))))) Nice!
13. Find the values of x and y in the diagram below.
א
9
13
7
y
3
10
17
Answers
Answer:
x = 2
y = 4
Step-by-step explanation:
Let's start with the 7 in the middle. Subtract the 1 on its upper left to get 6.
Add the 3 on its lower left to get 10.
so, 3 - x = 1. x = 2
17 - y = 13. y = 4
The hypotenuse of a 90-45-45 triangle is 20√2. What is the short leg and the long leg>
Answers
Answer:
Both legs would be 20
Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.
I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.
What is the coefficient in this expression?
2/5
O
2/5
Op
05
02
Answers
Answer:
2/5 is the coefficient.
Coefficient generally refers to the numerical value in an expression.
And the expression here is 2/5.
So, 2/5 makes up the coefficient.
Which graph represents y=12+2x
Answers
Simplify completely!!!
Answers
Answer:
h^24
Step-by-step explanation:
hope that helpssndbfbsb
From Khan Academy Pre Algebra
Please Evaluate This Question:
Answers
answer is this in decimal form if this is what ur looking for 4.21900462…
hope it helps....
Answer:
17.8
Step-by-step explanation:
Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−25^x+1.
Answers
Among all the three ordered pairs no one lies on the graph of the function f(x)=[tex]-25^{x} +1[/tex].
Given The value of a function f(x)=[tex]-25^{x} +1[/tex]
If we want to check whether it will lie on the graph of a function or not then we have to just put those points in the function ,if the function satisfies means they lie on that graph otherwise not.
Taking first ordered pair :(1,625)
value of x is 1 and value of y is 625.
we have to put in the function so
625=-[tex]25^{1}+1[/tex]
625 is not equal to -24 so it does not satisfy.
Taking second ordered pair :(0,-25)
-25=-25 raise to power 0 +1
-25 is not equal to 1 so it does not satisfy.
Taking third ordered pair: (-1,-1)
-1=-1/25+1
-1 is not equal to 24/25 so it does not satisfy.
Hence among all the ordered pairs none will lie on line of the given function.
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14. What is the measure of ZABC in the image shown? OE A B 10x - 10 100 - 2x 2x + 10 C 14. What is the measure of ZABC in the image shown ? OE A B 10x - 10 100 - 2x 2x + 10 C
Answers
Answer: 110 degrees
Step-by-step explanation:
By the exterior angle theorem.
[tex]10x-10=100-2x+2x+10\\\\10x-10=110\\\\\therefore \angle ABC=110^{\circ}[/tex]
maximum value of P+4x+5y+21 given the following: y-x<1, 21x+7y<25, x>-2, y>-4
Answers
The maximum value of the objective function is 31.787
How to maximize the function?The given parameters are:
Objective function:
Max P = 4x + 5y + 21
Subject to:
y- x < 1
21x + 7y < 25
x>-2, y>-4
Rewrite the inequalities as equation
y - x = 1
21x + 7y = 25
Add x to both sides in y - x = 1
y = x + 1
Substitute y = x + 1 in 21x + 7y = 25
21x + 7x + 7 = 25
Evaluate the like terms
28x = 18
Divide both sides by 28
x = 0.643
Substitute x = 0.643 in y = x + 1
y = 0.643 + 1
y = 1.643
So, we have:
Max P = 4x + 5y + 21
This gives
P = 4 * 0.643 + 5* 1.643 + 21
Evaluate
P = 31.787
Hence, the maximum value of the objective function is 31.787
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Model 3xfx Write the inverse of the rational function used to represent the situation in model 3, .
A biologist has tracked the population of Antarctic penguins in a marine reserve since 2012. He represents the population with the rational function f(x)=15x+50/x+5, where is the number of years that have passed since 2012 and () is the number of penguins.
Answers
y = (15x + 50)/(x + 5)
Swap the x and y and make y the subject again
x = (15y + 50)/(y + 5)
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
xy - 15y = 50 - 5x
y(x - 15) = 50 - 5x
y = (50 - 5x)/(x - 15)
So inverse function f^-1(x) = (50 - 5x)/(x - 15)
On a coordinate plane, 2 cube root functions are shown. Function f (x) goes through (negative 3, negative 1.5), has an inflection point at (0, 0), and goes through (3, 1.5). Function g (x) is 2 units to the left of f (x) and has an inflection point at (negative 2, 0).
The graph of f(x) = RootIndex 3 StartRoot x EndRoot is shown with g(x). Which equation represents the graph of g(x)?
g(x) = RootIndex 3 StartRoot x minus 2 EndRoot
g(x) = RootIndex 3 StartRoot x + 2 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1
g(x) = RootIndex 3 StartRoot x EndRoot–1
Answers
Using translation concepts, it is found that the equation that represents the graph of g(x) is:
[tex]g(x) = \sqrt[3]{x + 2}[/tex].
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) is a shift left of 2 units of f(x), hence:
[tex]f(x) = \sqrt[3]{x}[/tex][tex]g(x) = f(x + 2) = \sqrt[3]{x + 2}[/tex]More can be learned about translation concepts at https://brainly.com/question/4521517
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Answer:
The answer is B. On EDGE.2022
Step-by-step explanation:
Just did it
What is an undefined term in geometry?
OA. A sentence that asserts a fact
OB. A term that has no formal definition, but is used to define other
terms
OC. A clause preceded by "if" in a conditional statement
OD. A statement in which the hypothesis and conclusion are switched
Answers
An undefined term in geometry is (b) A term that has no formal definition, but is used to define other terms
How to define the term?In geometry, there are four undefined terms.
These terms are:
PointLinePlaneSet.The above items do not have a specific or formal definition. However, they are used to define other terms in geometry
This is the reason they are referred to as undefined terms.
Hence, an undefined term in geometry is (b)
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A rocket is launched in the air. The graph below shows the height of the rocket hh in meters after tt seconds.
help pls
Answers
Answer:
The answers are=
(38, 0)time in seconds(19, 1768.9)Heightin metersThe x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
It is given that:
The graph of the parabolic path is shown in the picture.
From the graph:
The x-coordinate of the vertex is (38, 0)
The x-coordinate represents time in seconds
The y-coordinate of the vertex is (19, 1768.9)
The y-coordinate represents the height in meters
Thus, the x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).
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Here are the first five numbers in a sequence.
47 41
(a) Find the first negative number in the sequence.
35
29
23
Answers
Answer:
- 1
Step-by-step explanation:
note there is a common difference of 6 between consecutive terms , that is
23 - 29 = 29 - 35 = 35 - 41 = 41 - 47 = - 6
by subtracting 6 from the previous term we get
23 - 6 = 17
17 - 6 = 11
11 - 6 = 5
5 - 6 = - 1
the first negative number in the sequence is - 1
A Store-It-All storage facility requires users to enter a four digit code, using numbers 0-9, to get through the
gate. You need to get a box of winter clothes from your storage container, but you forgot the code.
1. How many possible codes are there if the digits cannot be repeated?
There are
possible codes.
2. What is the probability that you will guess the correct code on your first try?
P(correct code) =
3. If the digits can be repeated, how many possible codes are there?
There are
different codes.
Answers
Answer:
Step-by-step explanation: 1. 5040 because 10x9x8x7
3. 10000 because 10^4=1000
1)There are 5040 possible codes are there if the digits cannot be repeated.
2)The probability that you will guess the correct code on your first try will be (1/5040).
3) Possible code = 10000 .
Given,
Numbers : 0 to 9
Here,
Total number of digit = 0,1,2,3,4,5,6,7,8,9
Given condition;
a)
Four digit card must be drawn;
The total possible ways there if the digits cannot be repeated will be;
⇒10×9×8×7
⇒5040
b)
The probability that you will guess the correct code on your first try is;
P(A) = n(A)/n(S)
Where,
n(A) is the event has the right code
n(S) is the total possible ways;
P(A) =1/5040
Hence the total possible ways there if the digits cannot be repeated and the probability that you will guess the correct code on your first try will be 5040 and (1/5040) respectively.
c)
If the gits can be repeated then we have 10 digits for each place :
Possible code = 10 * 10 * 10 *10
Possible code = 10000
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please help! due very soon!
Answers
Answer:
{x | x = -6, -1, 0, 3}
(first option listed)
Step-by-step explanation:
The domain of a function is all possible x-values for that function
So, we can see (from the x-value portion of our table) that the possible x-values are:
-6 , -1, 0, and 3
We write domain and range in lowest - highest number value order, so we write our domain as such:
{x | x = -6, -1, 0, 3}
{range is all possible y-values, and this would include -7 , 1, 9, and -2}
hope this helps!!
Pam asks you to help with the catering for the funeral. You decide to use juice concentrate to serve as a refreshing drink. To create this delicious drink, you must dilute the concentrate in the ratio 1:4. You have 2 litres of concentrate. What is the volume of water needed?
Answers
Reason
1 to 4 is the same as 2 to 8
So 2 concentrate to 8 water
The means and mean absolute deviations of the individual times of members on two 4 times 400 meter relay track teams are shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 400 meter Relay Track Teams
Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation
1.5 s
2.4 s
What is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?
0.09
0.15
0.25
0.65
Answers
The correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
The difference between the mean times is about 16 times the mean absolute deviation of the data set.
59.32 - 59.1 = 0.22
2.4 - 1.5 = 0.9
0.22 / 0.9 = 0.25
Therefore the correct answer is option C which is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B will be 0.25.
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what are the intercepts of x^2 +8x+16
Answers
Answers:
x intercept = -4
y intercept = 16
The graph is shown below.
=======================================================
Explanation:
To determine the x intercept(s), we set the expression equal to zero and solve for x. In other words, we plug in y = 0 and solve for x.
y = x^2 +8x+16
0 = x^2 +8x+16
x^2 +8x+16 = 0
(x+4)^2 = 0
x+4 = 0
x = -4
There's only one x intercept. It's located at the vertex of the parabola.
The location of the x intercept is the point (-4,0)
------------
To find the y intercept, we plug in x = 0 and compute like so:
y = x^2 +8x+16
y = (0)^2 +8(0)+16
y = 16
The y intercept is 16 which is located at (0,16)
Check out the graph below. It was made using the free app Desmos.
Write 1 3/5 as an improper fraction?
Answers
Find two functions defined
implicity by this equation:
(x − 5)² − 3(y + 2)² = 4
Answers
Answer:
[tex] \frac{dy}{dy} = \frac{x - 5}{3y + 6} [/tex]
A recipe that makes 18 chocolate chip cookies calls for 2.5 cups of flour. How many cookies can you make if you have 3.75 cups of flour (and enough of the other ingredients)?
Answers
Answer:
27
Step-by-step explanation:
3.75/2.5x18=27
Find the radius of a circle with area 345 square centimetres
30 pts need in like 10 mins!!
Please say the answer like-
… divided by … = ……
Or
… times … = …..
Answers
Answer:
5.9
Step-by-step explanation:
It's because area is 345
Formula , A=πr2Find the √ of 34518.6=3.14×f2fR = 5.9Step-by-Step Solution:
Radius (r) = ?
Area (A) = πr² = 345 sq. cm
Therefore,
πr² = 345
3.14 * r² = 345
r² = 345/3.14
r² = 109.87
r = √109.87
=> r = 10.48
Radius (r) = 10.48 cm
Given: angle 2 and angle 4 are vertical. Prove angle 2 congruent to angle 4
Need help quick!
Answers
The diagram shows that ∠2 and ∠4 are the vertical angles.
What are vertical angles?Vertical angles are the angles that are opposite of each other when two lines cross.
The statements are:
1. < 2 & < 4 are vert. angles
2. Lines M & N intersect at P
3. < 2 & < 3 are a linear pair
4. m < 2 + m < 3 = 180
5. <3 and < 4 are a linear pair
6. m < 3 + m <4 =180
7. m < 2 + m < 3 = m < 3 + m < 4
8. m < 2 = m < 4
9. < 2 =~ <4
Here are the reasons:
1. Given
2. Def of vertical angles.
3. Def of. Linear pair
4. Angle addition postulate
5. Def of a linear pair
6. Angle addition postulate
7. Substitution property
8. Subtraction property
9. Def of =~ angles.
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Answer: View the picture below!
Step-by-step explanation: Just did the assignment!
If x=0,what is the value of (8x)^0
Answers
[tex] {8x}^{0} \\( {8 \times 0})^{0} \\ {0}^{0} \\ it \: is \: undefined[/tex]
PLEASE GIVE BRAINLIEST
Can someone please help me with this!!
Answers
Answer: -7
Step-by-step explanation:
[tex]f(-8)=-5\\\\g(4)=3\\\\\therefore -1 \cdot f(-8) -4\cdot g(4)=-1(-5)-4(3)=5-12=\boxed{-7}[/tex]
show how to simplify y-8 = 3/4x [x-(-6)]
Answers
To simplify the equation, we have y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]
How to simply the expressionGiven the expression
y-8 = 3/4x [x-(-6)]
First, expand the bracket
[tex]y - 8[/tex]= [tex]\frac{3}{4x^2 + 24x}[/tex]
Make 'y' the subject of formula
y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]
Thus, to simplify the equation, we have y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]
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