When inflating a balloon, the expansion of the balloon represents an equal but opposite force acting on the balloon
What is force?A force is an influence that has the power to alter an object's motion. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F.Thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which causes changes in an object's rotational speed, are all concepts connected to force. Each part of an extended body often exerts stresses on the sections that are nearby; the distribution of these forces throughout the body is what is known as the internal mechanical stress. Due to the balance of the forces, such internal mechanical stresses do not generate acceleration of that body. Pressure is a straightforward form of stress that, if unbalanced, can cause the body to accelerate. Pressure is the distribution of several small forces applied over an area of a body. Stress typically results in the flow of fluids or the deformation of solid materials.To learn more about force, refer to
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What is 420÷6 hellllll,lllllllllllllllpppppp I n ee d it now
Answer:
70
Step-by-step explanation:
the life of light bulbs is distributed normally. the variance of the lifetime is 225225 and the mean lifetime of a bulb is 520520 hours. find the probability of a bulb lasting for at most 533533 hours. round your answer to four decimal places.
The mean lifetime of a bulb is 520 hours, while the variance of the lifetime is 225. The probability that a light bulb will survive at most 533 hours is 0.86.
Given that,
The lifespan of light bulbs is generally distributed. The mean lifetime of a bulb is 520 hours, while the variance of the lifetime is 225.
We have to calculate the probability that a light bulb will survive at most 533 hours.
We would use the normal distribution formula, which is stated as, because the lifespan of light bulbs is distributed regularly,
z = (x - µ)/σ
Where
x = life of light bulbs.
µ = mean lifetime
σ = standard deviation
From the information given,
µ = 520 hours
Variance = 225
σ = √variance = √225
σ = 15
The probability that a light bulb will last for no more than 560 hours is given by
P(x ≤ 533)
For x = 533
z = (533 - 520)/15 = 0.86
According to the normal distribution table, 0.86 represents the probability for the z score.
Therefore, the probability that a light bulb will survive at most 533 hours is 0.86.
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In the data set below, what are the lower quartile, the median, and the upper quartile? 30 45 49 50 63 75 75 77 84
In the data set {30,45,49,50,63,75,75,77,84} the lower quartile is 47, the median is 63 ,and the upper quartile is 76 .
In the question ,
the data set is given as {30,45,49,50,63,75,75,77,84}
as the data set has 9 terms , the median will be the central term that is 5th term .
so the median is 63 .
For finding the lower and upper quartile , we break the set into two half .
lower half = {30,45,49,50}
the lower quartile will be the central value ,that is (45+49)/2 = 47
so, the lower quartile(Q₁) is 47 .
upper half = {75,75,77,84}
the upper quartile will be the central value ,that is (75+77)/2 = 76
so, the upper quartile(Q₃) is 76 .
Therefore , in the data set {30,45,49,50,63,75,75,77,84} the lower quartile is 47, the median is 63 ,and the upper quartile is 76 .
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PLS BE DONE RIGHT AWAY. NO NEED TO GRAPH JUST SOLVE
Answer:
x/1
Step-by-step explanation:
8=-4x-4
4=-4x
(divide by -4)
1=x
Answer:
[tex]-1\geq x[/tex]
Step-by-step explanation:
[tex]8\leq -4(x-1)[/tex]
[tex]8\leq -4x+4[/tex]
[tex]8-4=-4x+4-4[/tex]
[tex]4\leq -4x[/tex]
[tex]\frac{4}{-4} \leq \frac{-4x}{-4}[/tex]
Inequality is reversed:
[tex]-1\geq x[/tex]
Hope this helps
5 Let A(-2,5) and B(5,0) be the endpoints of AB. What is the length of the segment?
The equation for finding the length between two points is:
[tex]l\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]where point 1 has coordinates (x1, y1) and point 2 has coordinates (x2, y2).
We assign A to be point 1 and B be point 2
Therefore,
[tex]\begin{gathered} l\text{ = }\sqrt[]{(0_{}-5_{})^2+(5_{}-(-2)_{})^2} \\ l\text{ = }\sqrt[]{(-5)_{}^2+(7_{})^2} \\ l\text{ = }\sqrt[]{25+49^{}} \\ l\text{ =}\sqrt{\text{74}} \end{gathered}[/tex]find the 41st term 11, 16, 21…
Answer:
You can add up to 5 each time, so we just need to multiply 5 by 40 although we already have the first three terms.
A: 40*5 = 200
Step-by-step explanation:
21 + 200 = 221
draw and label tape diagram to model each number sentence
ANSWER:
We can see the answer in the drawing.
STEP-BY-STEP EXPLANATION:
In this case, we make the diagram as follows:
Lydia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.10 plus $2.50 per mile. The total fare was $36.60, not including the tip. Write and solve an equation which can be used to determine x, the number of miles in the taxi ride.
Answer:
4.10 + 2.50x = 36.60
x = 13 miles
Step-by-step explanation:
I hope this helped
have a good day ^^
Find the difference between the product of 2.5 and 7.5and the sum of 2.7 and 9.55
12x^2(y^8)/3xy^7 solve
The value of the expression given as 12x^2(y^8)/3xy^7 is 4xy
How to solve the expression?From the question, the expression is given as
12x^2(y^8)/3xy^7
Start by removing the bracket in the above expression
So, we have the following equation
12x^2(y^8)/3xy^7 = 12x^2y^8/3xy^7
Divide 12 by 3 in the above equation
So, we have the following equation
12x^2(y^8)/3xy^7 = 4x^2y^8/xy^7
Divide x^2 by x
So, we have the following equation
12x^2(y^8)/3xy^7 = 4xy^8/y^7
Divide y^8 by y^7
So, we have the following equation
12x^2(y^8)/3xy^7 = 4xy
Hence, the expression is 4xy
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Do the ratios 12/8 and 2/1 form a proportion
Answer:
No, the cross products to not equal
Step-by-step explanation:
[tex]\frac{12}{8}[/tex] = [tex]\frac{2}{1}[/tex]
12(1) = 8(2)
12 [tex]\neq[/tex] 16
Or make them both into decimals
12/8 = 1.5
[tex]\frac{2}{1}[/tex] = 2 They do not equal each other.
How do properties of interger exponents help you write equivalent expressions
Answer:
The product of powers property says that when we multiply powers with the same base, we just have to add the exponents. So, xaxb = x(a + b). As you can see, we keep the base the same and add the exponents together.
Step-by-step explanation:
ILL Give one hundred points and Branly only if you do it right though
Answer:
1) -2
2) -2
3) -2
4) -3
5) -4
6) -15
7) -13
8) 3
1b) -9
2b) -2
3b) 7
4b) 17
5b) -4
6b) -9
7b) -16
8b) 0
1c) -5
2c) -3
3c) 0
4c) -2
5c) -8
6c) -11
7c) -3
8c) 15
Jeez, I hope this helps xD
Consider x = 10-y.
a. Complete the table for the equation.
y
X
0
1
2
Answer: 0-10
1-9
2-8
Step-by-step explanation:
there will be 5 songs and 3 dances in a performance how many distinguished way to arrange the shows if all dances cannot be next to each other? and how many ways to arrange the shows if all dances must be next to each other?
In a performance there will be 5 songs and 3 dances
Total objects 5+3 = 8
Number of ways of arranging this objects is 8! = 40,320...........(1)
If all the dances must be next to each other than all dances should take as an object as 3!
Number of ways of arranging performing taking dance to each other
is = (5+1)! 3!
= 6! 3!
= 4320 ....................(2)
Number of ways to arrange the shows if all dances can not be next to each other = (1) - (2)
= 40320-4320
= 3600 ways
Number of ways to arrange the shows if all the dances must be next to each other is 4320 ways.
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1) the owner of a video store has determined that the cost c, in dollars, of operating the store is approximately given by where x is the number of videos rented daily. find the lowest cost to the nearest dollar. a) $400 b) $500 c) $650 d) $550
The lower cost will occur at the extreme point, that is if the number of videos rented daily is 8 pieces and the cost will be $550.
The cost function is given by:
C(x) = 2x² - 32x + 678
The lowest cost happens at the extreme point. In this point the derivative of C(x) is equal to zero.
Take the derivative:
C'(x) = 4x - 32 = 0
4x = 32
x = 32/4 = 8
Hence, the lowest cost will occur if the number of video rented daily is 8 pcs.
Substitute x = 8 into the cost function:
C(8) = 2(8)² - 32.(8) + 678 = 550
Complete question:
The owner of a video store has determined that the cost c, C(x) = 2x² - 32x + 678 in dollars, of operating the store is approximately given by where x is the number of videos rented daily. find the lowest cost to the nearest dollar
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solve and show working:- log(x^2 + 7) base 4 = 2
The value of x for the given logarithm equation log(x^2 + 7) base 4 = 2 is x = ± 3.
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
It is known that [tex]log_{a}b[/tex] = c can be written as [tex]a^{c}[/tex] = b.
Given that, log(x^2 + 7) base 4 = 2
Therefore, x² + 7 = 4²
x² + 7 = 16
x² = 16 - 7 = 9
x² = 9
x = ±3
Hence "The value of x for the given logarithm equation log(x^2 + 7) base 4 = 2 is x = ± 3".
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Fill in the missing. How many solutions does the equation have? what does the simplified equation mean?
5.5x - 2.1 = 3 + 5.5x
5.5x - 2.1 - _____ x = 3 + 5.5x - _____ x
_____ = _____
The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.
What is the solution to the equation?The allocation of weights to the relevant variables that produce the calculation's equilibrium is referred to as a direct consequence.
Simplicity is the quality of making anything less complicated and more manageable in terms of both execution and comprehension.
The equation is given below.
5.5x - 2.1 = 3 + 5.5x
Subtract 5.5x on both sides, then simplify the equation.
5.5x - 5.5x - 2.1 = 3 + 5.5x - 5.5x
0x - 2.1 = 3
The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.
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the circumference of a sphere was measured to be 80 cm with a possible error of 0.5 cm. (a) use differentials to estimate the maximum error (in cm2) in the calculated surface area. (round your answer to the nearest integer.) cm2 what is the relative error? (round your answer to three decimal places.) (b) use differentials to estimate the maximum error (in cm3) in the calculated volume. (round your answer to the nearest integer.) cm3 what is the relative error? (round your answer to three decimal places.)
a) the maximum error in surface area and the relative error is 25.4 cm² and 1.25%
b) the maximum error in the volume and the the relative error is 162.1 cm³ and 1.875%
As we know the formula for surface area is
Surface Area , S= 4*π*r^2.
So differentiating both sides we get
dS/dr = 8*π*r .....1
and the formula for the circumference is :2*π*r
, so the error on the circumference will be respect to radius
=> Δc = 2*π*Δr
=> Δr = ΔC / (2*π)
substituing the value ofΔr in the equation 1, we get
The maximum error in surface area which is :
ΔS = 8*π*r*Δr = 4*r*Δc
= (2/π)*c*Δc.
= 25.4
where for the relative error
ΔS/S = 4*r*Δc/(4*π*r^2)
= Δc/(π*r)
= 2*Δc/c
= 1.25%
Now Since the formula for the volume of a sphere is :
V = 4/3*π*r^3
dofferentiating both sides we get ,
=> dV/dr = 4*π*r^2.
So, the the maximum error in the calculated volume will be :
ΔV = 4*π*r^2*Δr
= 2*r^2*Δc
= 1/(2*π^2)*c^2*Δc
=162.1
Where as the relative error for the volume will be
ΔV/V = 3*Δr / r = 3*ΔC/C = 1.875%
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i really need help can anyone help solve the attatched question
-3x – 10 = 32Help me I need the answer
Answer:
x = - 14
Step-by-step explanation:
-3x – 10 = 32 Help me I need the answer
-3x – 10 = 32
-3x = 32 + 10
-3x = 42
x = 42 :(-3)
x = - 14
-----------------
check
-3 × (-14) - 10 = 32 (remember pemdas)
42 - 10 = 32
32 = 32
the answer is good
75% of the marbles in a bag are orange and the rest are blue. What fraction of the orange marbles must be removed from the bag so that 50% of the remaining marbles are orange?
Answer:
1/2
Step-by-step explanation:
75% of the marbles in a bag are orange and the rest are blue. The percentage for blue will be:
= 100% - 75%
= 25%
The fraction of the orange marbles that must be removed from the bag so that 50% of the remaining marbles are orange will be:
= 75% - 25%
= 50%
= 1/2
A 21-foot bean is to be cut into three pieces so that the second and third piece are each 3 times the length of the first piece. If x represents the length of the first piece, find the length of each piece
Answer: 3, 9, and 9
Step-by-step explanation:
X+3x+3x=217x=21x=33, 9, 9=21
Kirby is buying a new grill that has been reduced for an end of summer sale by 25% to $496. what was the original price of the grill?
Given:
percentage decerease = 25%
current price of the grill = $496
Let the original price of the grill be x
We can calculate percentage decrease using the formula:
[tex]\text{Percent decrease = }\frac{Orig\text{ inal value - new value}}{Orig\text{ inal value}}\text{ }\times\text{ 100}[/tex]Substituting the given values we have:
[tex]\begin{gathered} 25\text{ = }\frac{x-496}{x}\times\text{ 100} \\ 25\text{ = }\frac{(x-496)\times100}{x} \end{gathered}[/tex]Cross-Multiply:
[tex]\begin{gathered} 25x\text{ = 100x - 49600} \\ \text{Collect like terms:} \\ -75x\text{ = -49600} \\ \text{Divide both sides by -75} \\ \frac{-75x}{-75}\text{ = }\frac{-49600}{-75} \\ x\text{ }\approx\text{661.33} \end{gathered}[/tex]Hence, we can conclude that the original price of the grill is approximately $661.33
Answer:
$661.33
Use the graph or table to find the equation that represents the relationship.
Answer:
1) y = 3x + 5
2) y = -12x + 2
3) y = 5/4 - 5
4) y = -6x + 3
Step-by-step explanation:
A triangle has 2 angles measuring 40 degrees and 50 degrees. What is the measure of the 3rd angle and classify the triangle.
A triangle has all three angles summing up to 180. If two of the sides measure 40 degrees and 50 degrees, then the third side measures as follows;
[tex]\begin{gathered} 40+50+A=180 \\ A=180-40-50 \\ A=90 \end{gathered}[/tex]The third angle, which is labelled as angle A measures 90 degrees, and that means the triangle is a "right angled triangle."
A chemical company makes two brand of antifreeze. The first brand is 70 % pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 110 gallons of a mixture that contains 85% pure antifreeze, how many gallons of each brand of antifreeze must be used?first brand:_____gallonssecond brand:_____gallons
Since the 1st brand is 70% pure antifreeze
Since the 2nd brand is 95% pure antifreeze
Since we need to obtain 110 g of a mixture that contains 85% pure antifreeze
Let the quantity of the first is x and the second is y
Then
[tex]\frac{70}{100}x+\frac{95}{100}y=\frac{85}{100}(110)[/tex][tex]0.7x+0.95y=93.5\text{ (1)}[/tex][tex]x+y=110\text{ (2)}[/tex]Now let us solve the two equations to find x and y
Multiply equation (2) by -0.7
[tex]\begin{gathered} (-0.7)x+(-0.7)y=(-0.7)110 \\ -0.7x-0.7y=-77\text{ (3)} \end{gathered}[/tex]Add equations (1) and (3)
[tex]\begin{gathered} (0.7x-0.7x)+(0.95y-0.7y)=(93.5-77) \\ 0+0.25y=16.5 \\ 0.25y=16.5 \end{gathered}[/tex]Divide both sides by 0.25
[tex]\begin{gathered} \frac{0.25y}{0.25}=\frac{16.25}{0.25} \\ y=66 \end{gathered}[/tex]Substitute the value of y in equation (2) to find x
[tex]x+66=110[/tex]Subtract 66 from both sides
[tex]\begin{gathered} x+66-66=110-66 \\ x+0=44 \\ x=44 \end{gathered}[/tex]First brand: 44 gallons
Second brand: 66 gallons
I need help with #10 It says to also round to the nearest hundredth. Please help!
In general, one can obtain the volume of a sphere and a cube using the formulas below
[tex]\begin{gathered} V_{cube}=l^3 \\ l\rightarrow\text{ side of the cube} \\ V_{sphere}=\frac{4}{3}\pi r^3 \\ r\rightarrow\text{ radius} \end{gathered}[/tex]In our case, we need to subtract the volume of the hollow sphere from the volume of the cube, as shown below
[tex]\begin{gathered} V_{cube}=18^3 \\ and \\ V_{sphere}=\frac{4}{3}\pi(9)^3 \\ \Rightarrow V_{foam}=V_{cube}-V_{sphere} \\ \Rightarrow V_{foam}=2778.371... \end{gathered}[/tex]Rounding to the nearest hundredth,
[tex]\Rightarrow V_{foam}\approx2778.37[/tex]The answer is 2778.37in^3
I don’t understand can someone help me? Create a linear equation for the following data:
Given the data shown in the table, you can identify that these two points are on the line:
[tex](-1,7)(2,-2)[/tex]By definition, the Slope-Intercept Form of the equation of a line is:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
You can find the slope of the line using this formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where these two points are on the line:
Which rational number also belongs to the set of whole numbers
A 0.3333
B. -9
C. 0
D. 5/6
Answer:
0
Step-by-step explanation:
Whole numbers are 0.1.2.3... Follows that pattern forever.
