The most commonly known properties of multiplication are commutative property, associative property and identity property of multiplication.
According to the question,
We have the following information:
We need to find the names of the properties of the multiplication.
There are most commonly three properties of multiplication which are used most often:
Commutative property of multiplication which states that the product of two integers will always remain same even if we change their order.
Associative property of multiplication states that the product of three integers will always be the same even if we change the bracket from the first two to last two.
Identity property states that the product of an integer and 1 is always that integer.
Hence, the most commonly known properties of multiplication are commutative property, associative property and identity property of multiplication.
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We couldn't find any school results for There were X quarts of liquid in a
con-tainer. First, 3/4 of the liquid in the container was removed. Then
another 1/2 quart was poured into the container. Write an expression in
terms of X for the number of quarts of liquid in the container at the end.
Then write another equivalent expres-sion. Explain.
Initial liquid volume is x.
3/4 of the liquid was removed:
[tex]x - \cfrac{3}{4} x[/tex]Then 1/2 quarts added, the expression including the addition is:
[tex]x - \cfrac{3}{4} x + \cfrac{1}{2}[/tex]Simplify to get equivalent expression:
[tex]\cfrac{1}{4} x + \cfrac{1}{2}[/tex]The half-life of nitrogen-16 is approximately 7.13 seconds.
Step 3 of 3 : How much of a 3 gram sample of nitrogen-16 would remain after 4 seconds? Round to three decimal places.
Using half-life and disintegration constant, the sample that will remain 4 seconds 2.03g
RadioactivityThis is the spontaneous decay of an active radioactive sample. The decay curve is exponential and it slope is constantly changing.
The half-life of this sample given can be used to find the disintegration constant of the sample.
The formula of half - life is given as
T₁/₂ = ln2 / λ
T₁/₂ = Half-Life λ = disintegration constantSubstitute the values into the equation;
7.13 = 0.693 / λ
λ = 0.693 / 7.13
λ = 0.0972
The amount of sample left after 4 seconds will be
A = Ne⁻(λt)
A = 3e⁻(0.0972 * 4)
A = 2.03g
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what is the length of ac brainly
The length of AC is equal to 5 units.
Given:
From the figure :
ΔABC is a right angled triangle with sides:
AB = 3 and BC = 4
Right angled triangle:
A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees.
The other two angles sum up to 90 degrees. The sides that include the right angle are perpendicular and the base of the triangle.
The third side is called the hypotenuse, which is the longest side of all three sides.
we know that,
According to pythagorean theorem:
[tex]AB^2+BC^2 = AC^2[/tex]
3^2 + 4^2 = AC^2
9 + 16 = AC^2
AC^2 = 25
AC = [tex]\sqrt{25}[/tex]
AC = 5 units.
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Full question:
is in the image uploaded
list all of the mutipes of 5 less than or equal to 50
Answer: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Step-by-step explanation: Add 5 until you get to 50.
Choose the symbol that correctly compares these numbers.
18.6? 18.7
O A. <
OB. =
O C. >
Answer: A
Step-by-step explanation:
18.6 is less than 18.7
so 18.6<18.7
How do you define a function?
A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
This means that a function f will map an object x to exactly one object f(x) in the set of potential outputs if the object x is in the set of inputs (referred to as the domain) (called the codomain).
The metaphor of a function machine, which accepts an object as its input and produces another object as its output based on that input, makes the concept of a function simple to understand.
Given a collection of possible outputs Y (codomain) and a set of inputs X (domain), a function is more precisely defined as f: X→Y which shows that f is a function from X to Y using this notation.
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At this rate, if Candidate A received 45 votes, how many votes did Candidate B receive?
The number of votes that Candidate B received, given the rate and the votes received by Candidate A, is 63 votes
How to find the number of votes?The question shows that for every 5 votes received by Candidate A, Candidate B will receive 7 votes.
This means that if Candidate A has 45 votes, the number of votes that Candidate B would receive can be found to be :
= Number of votes received by Candidate A / Number of votes Candidate A receives per Candidate B x Number of votes Candidate B receives per Candidate A
= 45 / 5 x 7
= 9 x 7
= 63 votes
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The first part of the question is:
Candidate A receives about 5 votes for every 7 votes received by Candidate B.
Dolphins and other sea creatures can leap to great heights by swimming straight up and exiting the water at a high speed. A 230kg dolphin leaps straight up to a height of 6.4 m When the dolphin reenters the water, drag from the water brings it to a stop in 1.5 m
The motion of the dolphin, evaluated using the kinematic equations and Newton's second law of motion are;
The time it takes the dolphin to stop is about 0.268 secondsThe force of the water on the dolphin is about 9626.88 NWhat is the Newton's second law of motion?Mathematically, Newton's second law of motion states that force is the product of mass and acceleration.
The mass of the dolphin = 230 kg
Height to which the dolphin leaps = 6.4 m
The distance the drag brings the dolphin to a stop = 6.4 meters
First part;
The time it takes the dolphin to stop can be found from the equation;
At the water surface;
m·g·h = 0.5·m·v² (conservation of energy)
g·h = 0.5·v²
v² = 2·g·h
Therefore;
v² = 2 × 9.81 × 6.4 = 125.568
In the water, the initial velocity is v, the velocity at 1.5 meters depth is u, we get;
u² = v² - 2·a·s
Therefore;
v² = 2·a·s
a = v²/(2·s)
a = 125.568/(2 × 1.5) = 41.856
a = 41.856 m/s²
v = u - a·t
t = (u - v)/a
Therefore;
t = (√(125.568))/41.856 ≈ 0.268
The time it takes the dolphin to stop is about 0.268 seconds
Second part
Newton's second law of motion states that force is directly proportional to the rate of change of momentum produced
Mathematically
Force = Mass × Acceleration
Force on the dolphin, F = 230 kg × 41.856 m/s²= 9626.88 N
The possible parts of the question, obtained from a similar question are;
First part; How long does it take the for the dolphin to come to restSecond part; The force of the water that acts on the dolphin as the dolphin comes to restLearn more about Newton's Laws of motion here:
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please help!!!
A group of friends wants to go to the amusement park. They have no more than $125 to spend on parking and admission. Parking is $9, and tickets cost $20 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
9 + 20p ≤ 125
Step-by-step explanation:
This does not include the tax.
A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 13 minutes there are 630 bacteria, after how many minutes will there be 20 bacteria remaining?
When solving this problem, round the value of k to four decimal places and round your final answer to the nearest whole number
The number of minutes for 20 bacteria be left is 439minutes. The decay constant is 0.0081
What is exponential function?An exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations and so on.
The No of bacteria left at a particular time t is given as N(t)= Noe^-kt
where No= initial number of bacteria
k= decay constant and t = time
after 13 minutes
630= 700e^-13k
divide both sides by 700
630/700= e^-13k
0.9= e^-13k
ln0.9= -13k
k= ln0.9/-13 = -0.1054/-13 = 0.0081
time for 20 bacteria to be left =
20= 700e^-0.0081t
= 20/700=e^-0.0081t
0.0286= e^-0.0081t
ln0.0286= -0.0081t
-3.554= -0.0081t
divide both sides by -0.0081
t= -3.554/-0.0081= 439 minutes ( nearest minutes)
therefore the time for the bacteria to be left is 439minutes
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the circumference of a circle can be found using the formula c 2r
The circumference of a circle can be found using formula 2πr where r is the radius of circle.
What is the circumference of a circle?
A circle's or an ellipse's circumference is its perimeter. The circumference would be the length of the circle's arc, if the circle were opened up and straightened out to a line segment, in other words.
Suppose the radius of a circle is 5cm
So, we can find the circumference by using formula 2πr
Circumference = 2 × π × 5 = 10π cm.
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Suppose a network has 37 servers of which 8 fail. How many possibilities are there for the 8 that fail?
The number of possibilities for 8 of 37 servers to fail is 38608020
How to determine the ways of selection?From the question, we have
Total number of servers, n = 37
Numbers to servers that fail, r = 8
The number of ways for 8 serves to fail is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 37 and r = 8
Substitute the known values in the above equation
Total = ³⁷C₈
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 37!/29!8!
Evaluate
Total = 38608020
Hence, the number of ways is 38608020
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Ms. Rios mowed
1
4
of her lawn. Her son mowed
3
7
of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
Her son mowed the most lawn
35%of the lawn meeds to be mowed
Cindy is attempting to calculate how much her car payment would be for a car that costs $27,000 to be repaid with monthly payments in 4 years at 4% APR.
Cindy's monthly payment of $609.63 will cost her $29,262.24 in 4 years at a 4% APR.
How is the total cost determined?The total cost that Cindy will spend on the car which costs $27,000 is computed by multiplying the monthly payment by 48 months (the payment period).
The monthly payment can be determined using an online finance calculator that compounds the interest rate monthly for four years.
Cost of car = $27,000
Annual Percentage Rate (APR) = 4%
Payment period = 4 years (monthly)
N (# of periods) = 48 months (4 years x 12)
I/Y (Interest per year) = 4%
PV (Present Value) = $27,000
FV (Future Value) = $0
Results:
PMT = $609.63
Sum of all periodic payments = $29,262.24
Total Interest = $2,262.45
Thus, Cindy will spend $29,262.24 for a car that costs $27,000, if she repays monthly for 4 years.
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Help Please!
3. An exercise equipment company is producing 45 lb. weights. To ensure the quality of their weights, they randomly select 60 weights and find that the mean weight of their sample is 45.07 lbs. with a standard deviation of 0.09 lbs. Create a 95% confidence interval and interpret the answer in context.
A. (45.0509, 45.0891); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 45.0509 and 45.0891 lbs.
B. (44.8423, 45.2977); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 44.8423 and 45.2977 lbs.
C. (44.9772, 45.0228); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 44.9772 and 45.0228 lbs.
D. (45.0472, 45.0928); The exercise equipment company can be 95% confident the population mean of their 45 lb. weights lies between 45.0472 and 45.0928 lbs.
4. Raul is analyzing a set of data he collected and creating a confidence interval. If he chose to reduce the size of the sample and increase the level of confidence, how would that affect the confidence interval? Explain.
A. The size of the confidence interval would decrease because Raul would be dividing by a larger z-score and multiplying by a smaller sample size.
B. The size of the confidence interval would increase because Raul would be dividing by a smaller z-score and multiplying a larger sample size.
C. The size of the confidence interval would increase because Raul would be multiplying by a larger z-score and dividing by a smaller sample size.
D. The size of the confidence interval would decrease because Raul would be multiplying by a smaller z-score and dividing by a smaller sample size
The responses for the confidence intervals of the 45 lbs weight and the set of data are;
3. D. (45.0472, 45.0928); The exercise equipment company can be 95% confident the population mean of their 45 lb weights lies between 45.0472 and 45.0928
4. C. The size of the confidence interval would increase because Raul would be multiplying by a larger z-score and dividing by a smaller sample size.
What is a confidence interval?The confidence interval is the likelihood of a parameter of a population can be found within a range of values during a specified percentage or proportion of the time.
3. The confidence interval can be found using the formula;
[tex]CI = \overline x \pm z\cdot \dfrac{s}{\sqrt{n} }[/tex]
Where;
[tex]\overline x[/tex] = The mean of the sample = 45.07 lbs
s = The standard deviation of the sample = 0.09 lbs
n = The sample size
z = The confidence level = 1.96 at 95% confidence level
Therefore;
[tex]CI = 45.07 \pm 1.96\times \dfrac{0.09}{\sqrt{60} }[/tex]
45.0472 < μ < 45.0928
The correct option is therefore, option D
Therefore;
The company can be 95% sure that the mean of the population of the 45 lb weights are between 45.0472 and 45.0928 lbs4. Decreasing the sample size, n, will decrease the value by which the term on the right of the ± is being divided, increasing the confidence interval.
Increasing the level of confidence will increase z, thereby also increasing the confidence interval.
The correct option is therefore, option C.
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what is the fourth term of d 4b3
The fourth term of the polynomial (d - 4b)³ is D. -64d³.
What is a polynomial?A polynomial is an expression involving the operations of addition, subtraction, multiplication of variables.
Given the expression (d - 4b)³, we need to open the bracket, hence:
(d - 4b)³ = d³ + 3(d²)(-4b) + 3(d)(-4b)²
= d³ - 12bd² + 48b²d - 64d³
Therefore, the fourth term of (d - 4b)³ is D. -64d³
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You recently joined a gym. You had to pay a joining fee of $40, and you will pay $20 per month to maintain the membership. Part A (6 points) Write an equation in slope-intercept form that represents the cost of the membership in relation to time.
The cost of the membership is the initial joining fee plus the cost per month multiplied by the number of months.
If the cost after [tex]m[/tex] months is [tex]c[/tex] dollars, then [tex]c=20m+40[/tex].
Gert invested all of her money at the end of 2000. At the end of each year, she checks the value of her investment. At the end of what ear will she first find she's doubled her money if gert invested all of her money at 5% simple interest?
The year in which Gert will find that she has doubled her money is year 20.
What year will the amount have doubled?
Simple interest is when the interest earned on an investment increases linearly each year.
The formula that can be used to determine simple interest is:
Simple interest = amount invested x duration of the investment x interest rate.
When the amount of money in the account is double what it is now, it means that the interest earned would be $2000 and the value of the account would $4000 (2000 + 2000).
Year when investment would have doubled = simple interest / (amount invested x interest rate)
Year when investment would have doubled = $2000 / (0.05 x 2000)
Year when investment would have doubled = $2000 / 100 = 20 years
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The table shows the lengths of hiking trails. It took Lannie 1.9 hours
to hike Ranger Cove Trail. It took Ava 4 hours to hike Mohawk Trail.
Write and solve an equation to find the average hiking rate for
Lannie. Write and solve an equation to find the average hiking rate
for Ava. What is the difference between their average hiking rates?
Round to the nearest tenth.
The difference between their average hiking rates is 0.51 miles/hour.
Given that, it took Lannie 1.9 hours to hike Ranger Cove Trail. It took Ava 4 hours to hike Mohawk Trail.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Using speed =Distance/Time
Here, Ranger Cove distance =4.8 miles and time =1.9 hours
Now, rate =4.2/1.9
= 2.21 miles/hour
Mohawk Trail distance =6.8 miles and time =4 hours
Now, rate =6.8/4
= 1.7 miles/hour
The difference between their average hiking rates
= 2.21-1.7
= 0.51 miles/hour
Hence, the difference between their average hiking rates is 0.51 miles/hour.
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In ΔSTU, s = 250 inches, ∠U=17° and ∠S=52°. Find the length of t, to the nearest 10th of an inch.
The length of t will be;
⇒ t = 294.30 inches.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In ΔSTU, s = 250 inches, ∠U=17° and ∠S=52°.
Now,
Since, In ΔSTU, s = 250 inches, ∠U=17° and ∠S=52°.
Hence, ∠ T = 180 - (17 + 52)
∠ T = 180 - 69
∠ T = 111°
Now, We use the sin rule as;
⇒ t / sint = s / sin s
⇒ t / sin 111° = 250 / sin 52
⇒ t = sin 111° × 250 / sin 52
⇒ t = 0.93 × 250 / 0.79
⇒ t = 294.30 inches.
Thus, The length of t will be;
⇒ t = 294.30 inches.
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Answer: 296.2
Step-by-step explanation:
t/sin111 = 250/sin52
t=250 sin111/52 = 296.1826 = 296.2
3(2x - 5) = 9(10 - x)
Answer:
x=7
Step-by-step explanation:
3(2x-5)=9(10-x)
6x-15=90-9×
6x+9x=90+15
15x=105
×=7
Answer:
x = 7
Step-by-step explanation:
1. Distribute
3(2x - 5) = 9(10 - x)
6x - 15 = 9(10 - x)
2. Rearrange Terms
6x - 15 = 9(10 - x)
6x - 15 = 9(-x + 10)
3. Distribute
6x - 15 = 9(-x + 10)
6x - 15 = -9x + 90
4. Add 15 to both sides
6x - 15 = -9x + 90
6x - 15 + 15 = -9x + 90 + 15
5. Simplify
Add the numbers:
6x - 15 + 15 = -9x + 90 + 15
6x = -9x + 90 + 15
Add the numbers:
6x = -9x + 90 + 15
6x = -9x + 105
6. Add 9x to both sides
6x = -9x + 105
6x + 9x = -9x + 105 + 9x
7. Simplify
Combine like terms:
6x + 9x = -9x + 105 + 9x
15x = -9x + 105 + 9x
Combine like terms:
15x = -9x + 105 + 9x
15x = 105
8. Divide both sides by the same factor
15x = 105
15x/15 = 105/15
9. Simplify
Cancel terms that are in both the numerator and denominator:
15x/15 = 105/15
x = 105/15
Divide the numbers:
x = 105/15
x = 7
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How do you tell if a function has a discontinuity?
We know that a function has a discontinuity if the left hand limit and right hand limit of the function are there but they are not equal.
According to the question,
We have the following information:
A function is given and we need to find if the given function is discontinuous or not.
There are two situations to find this whether the function is discontinuous or not. First, we need to know that the function has both the left hand limit as well as the right hand limit.
Second condition is to check whether if the limits are equal or not. If they are not equal then the function is discontinuous.
Hence, we know that a function has a discontinuity if the left hand limit and right hand limit of the function are there but they are not equal.
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Is ABCD a rhombus explain?
The ABCD parallelogram turns into a rhombus if all of its sides are equal.
What are the geometric properties of a parallelogram and a rhombus?Geometry of a parallelogramEqual are the sides that oppose.Equal angles are opposite angles.Each other in a diagonal.Nevertheless, the length of diagonals varies.Geometric characteristics of rhombusAll Sides are equal.
Diagonals bisect at 90°.
In our question,
AB = DC is given for a quadrilateral ABCD (parallelogram).
When a parallelogram's sides are uneven, symmetry is disrupted and its diagonals do not bisect at 90 degrees. However, when all of the sides are equal, the diagonal does bisect at 90 degrees and the parallelogram becomes a rhombus.
Therefore, when all of a parallelogram's sides are equal, it becomes a rhombus.
The complete question is:
You are trying to prove that quadrilateral ABCD is a rhombus. You know that both pairs of opposite sides are parallel (a parallelogram). Which additional fact would prove that ABCD is a rhombus?
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The total monthly charges, $C, for a mobile plan consist of a fixed amount of $ 120 and a variable amount which depends on the usage. For every minute used, $0.20 is charged. If the duration of usage is 120 minutes, calculate the total monthly charges for the mobile plan
The total monthly charges for the mobile plan if the usage is 120 minutes is $480.
Given that,
A mobile plan's total monthly costs, $C, are made up of a fixed fee of $ 20 and a variable fee that is based on usage. The cost is $0.20 per minute used.
We have to calculate the total monthly charges for the mobile plan if the usage is 120 minutes.
We know that,
A mobile plan fee is $20
For 1 min $0.20 for mobile plan
For 120 minutes
=120×0.2
=24
=24×20
=480
Therefore, the total monthly charges for the mobile plan if the usage is 120 minutes is $480.
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Question 1: Multiply: 12.10²
A 120
B 12000
c 1200
D 1.2
Am pula mare!
Da aaaaaaaaaaa????
A parachutist's rate during a free fall reaches 216 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.
Rate:
Distance fallen in 20 seconds:
The free fall speed of a parachutist can exceed 216 kilometres per hour. During his 20 seconds of free fall, the parachutist will plunge 1960 metres.
What is Acceleration ?Every time an object is subject to a net force that is greater than zero, acceleration happens. You can experience it when riding down a steep hill on your sled in the snow or when you slightly accelerate or decelerate in an elevator. Furthermore, we know that the universe as a whole is expanding at an even faster rate because to the general theory of relativity. This implies that the distance between two places is always enlarging, yet we are oblivious to this on a daily basis because every scale in the universe also expands.
During free only acceleration due to gravity(g) acts on the parachutist. Assuming acceleration due to gravity is positive i.e. g=9.8m/s² .
For conversion we know that
1 km = 1000 m and
1 hr = 3600 seconds
216 km/hr = 60 m/s
Location of parachutist during 20 seconds
[tex]h = \frac{1}{2} \times g \times t^2[/tex]
[tex]h=\frac{1}{2} \times 9.8 \times 20^2[/tex]
h = 1960 meters
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A quality control activity analysis indicated the following four activity costs of a hotel. Verifying credit card information $189,800 Customer service training 379,600 Discounting room rates due to poor customer service 94,900 Correcting charges to customer invoices 284,700 Total $949,000
The percentage of the quality cost, that is taken up by the prevention and appraisal costs are:
Prevention cost - 40%Appraisal cost - 20%How to find the percentage of cost?The prevention cost would be the cost associated with customer service training as this ensures that less mistakes are made.
The appraisal cost would be the cost to verify credit card information.
The percentage of total quality control cost that prevention cost is, would be:
= 379, 600 / 949, 000 total
= 40 %
The percentage for appraisal cost is:
= 189, 800 / 949, 000
= 20 %
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The rest of the question is:
Present the percentage values of prevention and appraisal as a percentage of the quality cost.
Find the amount Erica owes at the end of 6 years if $ 5300 is loaned to her at a rate of 8 % compounded monthly. use A=P(1+r÷n)ⁿt
The amount owed is $
(Do not round until the final answer. Then round to the nearest cent as needed.)
The final amount compounded monthly at a rate of 8% over 6 years on a principal of $5300 is $8551.56
Compound InterestCompound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.
The formula of compound interest as given in the questions is
A = Final amount P = principalr = ratet = timen = number of times compoundedA = P[(1 + r/n)^nt
Substituting the values into the formula
A = 5300(1 + 0.08/6)^12 * 6
A = 8,551.56
Erica will owe $8551.56
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How do you find the slope of a vertex?
How to find a parabola's equation using its Vertex Form
Step 1: use the (known) coordinates of the vertex, (h,k), to write the parabola's equation in the form: y=a(x−h)2+k. ...
Step 2: find the value of the coefficient by substituting the coordinates of point P into the equation written in step 1 and solving for a.
What is 4x + 2 < 5x?
Step-by-step explanation:
4x +2 <5x4x <5x-24x-5x<-2-x<-2x<2