Answer:
30 baloons per hourStep-by-step explanation:
Use some points on the graph:
(0, 0), (2, 60), (4, 120), (8, 240)The graph is a line passing through the origin, so this is a proportional relationship.
Standard form of such relationship is
y = kx, where k- coefficient of proportionalityUsing one of the coordinate pairs find the value of k
60 = 2kk = 60/2k = 30This is indicating the number of baloons filled per hour is 30.
A whole is divided into 10 equal parts.
Answer these questions.
(a) How much of a whole is 100%?
(b) How much of a whole is 10%?
Answer:
a. All of the whole - 10/10
b. A tenthof the whole - 1/10
Step-by-step explanation:
Step-by-step explanation:
a. since the entire whole represents a 100% , the number of whole that makes up for 100% is the 10 of the ten parts divided by 10 which is equal to 10.
b. since a whole equals 100% , if divided by 10 the entire 100% becomes 10% each for 10 parts. hence a single part equivalent to 1/10 is 10%
Find the integral of √(x² +4) W.R.T x
Answer:
[tex]\frac{x}{2} *\sqrt{x^{2} +4}[/tex] +[tex]\frac{1}{2}[/tex]*LN(|[tex]\frac{x+\sqrt{x^{2} +4} }{2}[/tex]|) +C
Step-by-step explanation:
we will have to do a trig sub for this
use x=a*tanθ for sqrt(x^2 +a^2) where a=2
x=2tanθ, dx= 2 sec^2 (θ) dθ
this turns [tex]\int\limits {\sqrt{x^{2}+4 } } \, dx[/tex] into integral(sqrt( [2tanθ]^2 +4) * 2sec^2 (θ) )dθ
the sqrt( [2tanθ]^2 +4) will condense into 2sec^2 (θ) after converting tan^2(θ) into sec^2(θ) -1
then it simplifies into integral(4*sec^3 (θ)) dθ
you will need to do integration by parts to work out the integral of sec^3(θ) but it will turn into (1/2)sec(θ)tan(θ) + (1/2) LN(|sec(θ)+tan(θ)|) +C
then you will need to rework your functions of θ back into functions of x
tanθ will resolve back into [tex]\frac{x}{2}[/tex] (see substitutions) while secθ will resolve into [tex]\frac{\sqrt{x^{2} +4} }{2}[/tex]
sec(θ)=[tex]\frac{\sqrt{x^{2} +4} }{2}[/tex] is from its ratio identity of hyp/adj where the hyp. is [tex]\sqrt{x^{2} +4}[/tex] and adj is 2 (see tan(θ) ratio)
after resolving back into functions of x, substitute ratios for trig functions:
= [tex]\frac{x}{2} *\sqrt{x^{2} +4}[/tex] + [tex]\frac{1}{2}[/tex]*LN(|[tex]\frac{x+\sqrt{x^{2} +4} }{2}[/tex]|) +C
I need helping finding what X is
Answer:
Step-by-step explanation:
x + 4 = 2x + 1 -x -x 4 = 1x + 1 -1 -1 3 = 1x -- -- 1 1 3 = x
Check: 3 + 4 = 2(3) + 1 7 = 6 + 1 7 = 7
Ari spent $35. 80 for 4 posters if the price of each poster was the same what was the price of 1 poster
Answer:
$8.95
Step-by-step explanation:
If Ari spent $35.80 for 4 posters and each of the poster price was the same therefore if we want the price for one poster we have to divide $35.80 by four to see the cost for one poster which will be $8.95. If you want to know if the price of each poster was the same you can just multiply $8.95 by 4 and you'll actually see that you got back the same money that Ari used to spend for the four posters .
A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 60 degree with the ground. The distance between the feet of the tree to the point where the top touches the ground is 16m. Find the height of the tree.
The height of the triangle is 8root3 meters.
We have given that,
A tree breaks due to a storm and the broken part bends,
So that the top of the tree touches the ground making an angle of 60 degrees with the ground.
The distance between the feet of the tree to the point where the top touches the ground is 16m.
Let the Height of the Tree =AB+AD
and given that BD=8 m
Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.
Now, in △ABD
cos(30)=BD/AD=BD=root3AD/2
AD=2(8)/root3
also in the same triangle
[tex]tan(30)=AB/BD\implies 8/\sqrt{3}[/tex]
What is the height of the triangle?Height of the tree=AB+AD
[tex]=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }[/tex]
[tex]=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m[/tex]
Therefore the height of the triangle is 8root3.
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If we add two equations in the original system, we have 6x+7y=32. Explain why the same (x,y) pair is also a solution to the equation
Answer:
simultaneous equations are used to solve for 2 variable
Find each measure. Assume that segments that appear to be tangent are tangent.
Answer: 97 degrees
Step-by-step explanation:
Quick I need to finish this and I still have more questions after
Answer:
[tex]1\frac{1}{2}[/tex] or 1.5
Step-by-step explanation:
Now we know it's a dilation. So we can use any two points. I chose V and V'.
V: (3,6)
V': (2,4)
So how we get from 6 to 4?
[tex]4(x)=6\\x=\frac{6}{4} \\x=1.5[/tex]
You can tell it's 1.5 aswell because 4 times 1 is 4 and 4 times 0.5 is 2. Add them to get 6.
Therefore, the dilation factor is 1.5.
From a regular octagon, a triangle is formed by connecting three randomly chosen vertices of the octagon. What is the probability that at least one of the sides of the triangle is also a side of the octagon
The probability that at least one of the sides of the triangle is also a side of the octagon is 5/7
How to determine the probability?A regular octagon has 8 sides, and a triangle has 3 sides
Assume that there is a point on the triangle.
Then we select (3 - 1) points from the (8 - 1) sides.
8 - 1 = 7
3 - 1 = 2
So, the total number of selection is:
Selection = 7C2
Evaluate the combination expression
Selection = 21
Adjacent triangles have 5 lines (one line in common).
So, we have:'
n = 5 - 1
n = 4
The number of ways this points can be selected is:
Selection = 4C2
Evaluate
Selection = 6
The probability that the triangle and the octagon do noth have the same side is:
P= 6/21
The probability that at least one of the sides of the triangle is also a side of the octagon is calculated using the following complement rule
P = 1 - 6/21
Evaluate the difference
P = (21 -6)/21
P = 15/21
Reduce fraction
P = 5/7
Hence, the probability that at least one of the sides of the triangle is also a side of the octagon is 5/7
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Here is a set of numbers , 10,10,10,10,11,12,13,15,17,find the mode, the median , the mean b there is a mistake in the set of numbers . The 10 should be 26, find the correct value for the mode , the median and the mean
First, find the mode, median, and mean of the given set of numbers.
Mode
The mode is the number that shows up frequently within the given set. In this case, it will be 10, as it shows up 4 times, 3 times more than any other number.
Mode: 10
~
Median
The median is the number that is in the middle of the given set. In this case, there are 9 numbers, and so the 5th given number is your median:
10 , 10 , 10 , 10 , 11 , 12 , 13 , 15 , 17
Median: 11
~
Mean
The mean is combining all numbers within the given set and dividing by the amount of numbers in that said set:
(10 + 10 + 10 + 10 + 11 + 12 + 13 + 15 + 17)/9 = 108/9 = 12
Mean: 12
Which equation would you use to find the distance between the two points? A. |2 - 4| B. |2 - (-4)| C. |-5 - 5| D. |2 + (-4)|
Answer:
Step-by-step explanation:
Could you show two points need to be calculated? A and D are the same in this case
need help asap will give brainlist
Answer:
D. [tex]\frac{12x+20}{5y^3}[/tex]
Step-by-step explanation:
When multiplying 2 fractions, you multiply the numerators and denominators, so we have:
[tex](\frac{3x+5}{y^6})(\frac{4y^3}{5}) = \frac{(3x+5)\cdot 4y^3}{y^6\cdot 5} = \frac{(3x+5)\cdot 4}{y^3 \cdot 5} = \frac{12x + 20}{5y^3}[/tex]
Answer:
4th option
Step-by-step explanation:
[tex]\frac{3x+5}{y^6}[/tex] × [tex]\frac{4y^3}{5}[/tex] ( cancel y³ and [tex]y^{6}[/tex] on numerator/denominator by y³ )
= [tex]\frac{3x+5}{y^3}[/tex] × [tex]\frac{4}{5}[/tex]
= [tex]\frac{4(3x + 5)}{5y^3}[/tex]
= [tex]\frac{12x+20}{5y^3}[/tex]
 Order these numbers least to greatest
Answer:
-24/16, -√2, 21/51, 0.42
Step-by-step explanation:
Look at the signs of the numbers. Negative numbers will be on the left, while positive numbers will be on the right. That means -√2 and -24/16 will be on the left, while 0.42 and 21/51 will be on the right.
Part 1:
We can change the negative numbers to decimals to compare them.
-√2 ≈ -1.41
-24/16 = -1.5
-1.5 is smaller, which means the first number in the sequence will be -24/16 and then -√2.
Part 2:
We can also change the positive numbers to decimals to compare them.
0.42 = 0.42
21/51 ≈ 0.41
21/51 is a bit smaller, so the third number in the sequence will be 21/51 and then 0.42.
I hope this helps and please mark me as brainliest!
A car travels 98 miles in 1. 4 hours. How far can it travel in 7 hours at the same speed
Answer:
490 miles
Step-by-step explanation:
7/1.4 = 5
98*5 = 490
A playground is rectangular with a length of 2/4 miles. If the area of the playground is 8/12 square miles, what is its width? Input your answer as a fraction.
Answer:
[tex]\frac{4}{3}[/tex] miles
Step-by-step explanation:
Check the attachment.
Find the vertex. y = 3x2 + 6x – 11 ([?],[ ]
Answer:
[tex] - 60[/tex]
-60 is a correct answer hope this answer is rightFind the surface area of the pyramid song to the nearest whole number.
Answer:
85 ft^2
Step-by-step explanation:
Base = 5 x 5 = 25 ft^2
FOUR triangles 4 * 1/2 * b * h = 4 * 1/2 * 5 * 6 = 60 ft^2
added together = 85 ft^2
After adding the numbers the result obtained is called the total or the sum
Answer:
After adding the numbers the result obtained is called the sum.
Solve and graph on a number line. Show your work in the box below.
7x + 10 < 11x + 2
Answer:
x > 2
Graph in picture
Step-by-step explanation:
Given:
7x + 10 < 11x + 2
To Find:
Solve and graph on a number line. Show your work in the box below.
Solve:
Subtract 10 from both sides
7x + 10 -10 < 11x + 2-10
Simplify
-4x < - 8
Multiply both sides by -1 which reverse the inequality
Simplify
4x > 8
Now, Divide both sides by 4
4x ÷ 4 > 8 ÷ 4
Simplify
x > 2
Solution: x > 2
Now graphing:
> means greater than
that means x is greater than 2
Thus, the line is going to the right.
Graph below:
Answer: x > 2
Step-by-step explanation:
Subtract 10 from both sides7x+ 10 < 11x + 2
7x+10-10 < 11x + 2 -10
Simplfysubtract the numbers
7x < 11x -8
Subtact 11 from both sides7x < 11x -8
7x - 11x < 11x -8 - 11x
Combine Like terms-4x < -8
Divide both sides by the same factor, and flip the relation because the factor is negative-4x < -8
-4x/-4 > -8/-4
Cancel terms that are in both the numerator and denominatorDivide the numbersx > 2
pls help!! need asap for 40 pts
Answer:
247.29 ft
Step-by-step explanation:
Need to find the opposite side, so use sine
4725sin 3 = 247.29
Pls figure out the intercepts
y= 10x −32
x intercepts: (___, ___)
y intercepts: (___,___)
pls help
Answer:
X intercepts: (0,12)
Y intercepts: (-32,88)
Mrs. Jones has eight equal-sized poster boards. She divides them evenly among three students. Between which two whole numbers does the number of poster boards each student gets lie?
_____________, fill in the blank,, typically used to increase ticket sales on low attendance days, offer fans discounts on concessions
Dynamic pricing is typically used to increase ticket sales on low attendance days, offer fans discounts on concessions.
What is dynamic pricing?Dynamic pricing is used to set the price of tickets based on the situation of the demand and reduce the number of unsold tickets.
It is used to adjust the prices that tickets are sold during sports which can be based on such variables as demand, weather, team performance and even pitching match-ups.
Therefore, Dynamic pricing is typically used to increase ticket sales on low attendance days, offer fans discounts on concessions.
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You are a market analyst working on game consoles. Suny’s Playcom series takes up 40% of the market share, Microsoft Box series takes up 35% of the market share and Nintendo’s Wee takes the the remaining 25% of the market share. According to industry reports, 1% of Playcom is defective, 3% of YBox is defective and 5% of Wee is defective worldwide. What is the probability of a game console buyer buying a defective Suny Playcom?
Using it's concept, it is found that there is a 0.004 = 0.4% probability of a game console buyer buying a defective Suny Playcom.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 40% of the consoles bought are of the Suny Playcom series, and of those, 1% are defective, hence the probability is given by:
p = 0.4 x 0.01 = 0.004
0.004 = 0.4% probability of a game console buyer buying a defective Suny Playcom.
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I need to figure out how to how to find the are of a plus shaped symbol, how would I do this?
Answer:
add the areas of the parts
Step-by-step explanation:
The area of an unusual shape is often easily found by decomposing it into shapes that you have formulas for. Divide the shape into parts, and add the areas of those parts.
__
negative areaAlternatively, some shapes are conveniently described by "missing" parts, For example, your "plus shaped" figure may be described as an overall rectangle with rectangles removed from the corners. Then the area of the shape is found by subtracting the missing area from that of the overall rectangle.
__
overlapping partsAs a rule, you want the parts to be non-overlapping. That way, you can add the areas of the parts without counting any area twice (or more times). If you have overlapping parts, you need to subtract the area(s) that may be counted multiple times.
__
symmetrySometimes you can take advantage of symmetry, so that you only need to compute part of the total area, then multiply by a factor that takes the symmetry into account.
__
exampleIn the attached figure, the dimensions of rectangle A are 6 m wide by 7 m high. The dimensions of rectangle B must be found by adding the width dimensions shown across the top of the figure: 5 m +6 m +6 m = 16 m. It is marked as 4 m high. Then the total area is ...
area of A + area of B
= (6 m)(7 m) +(16 m)(4 m)
= 42 m² +64 m² = 106 m²
This can also be found as the area of the 16 m by 11 m enclosing rectangle, less the two 5 m by 7 m corner cut-outs.
(16 m)(11 m) -2(5 m)(7 m) = 176 m² -2(35 m²) = 106 m²
Please help me on this question about circle chords, find x.
A. 26.3
B. 21.1
C. 11.8
Answer: B
Step-by-step explanation:
For each ordered pair determine whether it is a solution to 7x+4y=-23
Answer:
a. no
b. no
c. no
d. yes
Step-by-step explanation:
Case I
x = -1
y = -4
7( -1) + 4 ( -4) = -23
-7 - 4 = -23
- 11 [tex]\neq[/tex] -23
Case II
x = 2
y= 6
7 (2) + 4 ( 6) = -23
14 + 24 = -23
38 [tex]\neq[/tex] -23
Case III
x = 6
y = -7
7 ( 6) + 4 (3) =- 23
42+ 12 = -23
54 [tex]\neq[/tex] -23
Case IV
x = -5
y = 3
7 (-5) + 4 ( 3) =- 23
-35 + 12 = -23
-23 = -23
How is the sign for PI ???
Answer:
its this symbol
Step-by-step explanation:
Find the solution of the system of equations. 9x - 9y = -9 and 3x + 9y = -15
Answer:
(-2 , -1)Step-by-step explanation:
[tex]\begin{cases}9x-9y=-9&\left(1 \right) \\ 3x+9y=-15&\left( 2\right) \end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}9x-9y=-9&\left( 1\right) \\ 12x=-24&\left( 1\right) +(2)\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}x-y=-1&\left( 1\right) \\ x=-2&\left( 1\right) +(2)\end{cases}[/tex]
[tex]\Longleftrightarrow \begin{cases}y=x+1=-2+1=-1&\left( 1\right) \\ x=-2&\left( 1\right) +(2)\end{cases}[/tex]
What is the product?
Answer:
The answer I got was
Step-by-step explanation:
[7, 4, 3]
You use the matrix calculator and then select a*b