Answer:
Step-by-step explanation:
v-lxbxh
4x5x65
=20x65
=1300m∧3
Which of the following describes the quotient of 4 and -28? A) The quotient is undefined. B) The quotient is an integer. C) The quotient is an irrational number. D) The quotient is a rational number.
Answer:
-1/7
Step-by-step explanation:
Divide the first expression by the second expression.
Simplify: A , B , C , D?
Answer:
7 5/6
Step-by-step explanation:
Reverse the operation
\(-2\frac{1}{3} - -10\frac{1}{6} = 2\frac{1}{3} + 10\frac{1}{6}\\= 2-\frac{1}{3} + 10+\frac{1}{6}\\-2 + 10 = 8(2 - 10)\\-\frac{1}{3} +\frac{1}{6}\\-\frac{2}{6}(x2) +\frac{1}{6}\\= -\frac{1}{6}\\8-\frac{1}{6}\\= 7\frac{5}{6}\)
A flagpole is 12 feet tall. Its shadow is 14 ft long. How far is it from the top of the
flagpole to the end of its shadow?
Answer:
Step-by-step explanation:
AC = length of flagpole = 12 ft
AB = length of shadow = 14 ft
BC = length from the top of the flagpole to the end of the shadow = x ft
Use Pythagorean theorem to find the length of x,
x² = AC² + BC²
= 12² + 14²
= 144 + 196
= 340
x = √340
x = 18.4 ft
how much time is required for a 5.75 mgmg sample of 51cr51cr to decay to 0.700 mgmg if it has a half-life of 27.8 days? express the time in days to one decimal place.
The time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days
What is decay constant?
A property of unstable radionuclides that spontaneously decay at various rates to a more stable atomic configuration is the radioactive decay constant (λ); The higher the decay constant, the faster the parent radionuclide depletes over time.Decay constant k = ln(2) / half life
= ln(2) / 27.8
= 0.024933 day⁻¹
For first order decay:
ln(M / M₀) = -kt
where M is mass remaining at time t and M₀ is initial mass.
ln(0.700/5/75) = -0.024933 * t
Time, t = 99.4 days
Hence, time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days.
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Assume that the IQ scores have a normal distribution with mean 100 and standard deviation of 8 Determine the probability that the IQ scores of a randomly selected person is: a) Less than 106 b) Greater than 108 c) Between 96 and 116 (Draw a clear sketch to illustrate the answer.)
Using the standard normal distribution table, the probability that P(-0.5 < Z < 2) is 0.8186. So, the probability that the IQ scores of a randomly selected person are between 96 and 116 is 0.8186
Given, Mean=μ=100
Standard deviation=σ=8
The formula for standard normal distribution is Z=x-μ/σ
Where, x = random variable The sketch for the distribution of IQ Scores is as follows:
sketch of IQ score for mean = 100, and σ = 8
Therefore, the standard normal distribution for IQ Scores would be as follows:
sketch of standard normal distribution for IQ Scores Probability that the IQ scores of a randomly selected person is:
Less than 106.
The probability is represented as P(X < 106)The random variable X is distributed normally with mean = 100 and standard deviation = 8.
The formula for standard normal distribution is Z = X - μ/σ = (106 - 100)/8 = 0.75.
The probability of P(Z < 0.75) can be obtained from the standard normal distribution table or calculator.
Using the standard normal distribution table, the probability that P(Z < 0.75) is 0.7734.
So, the probability that the IQ scores of a randomly selected person are less than 106 is 0.7734.
Greater than 108.
The probability is represented as P(X > 108)The random variable X is distributed normally with mean = 100 and standard deviation = 8.
The formula for standard normal distribution is Z = X - μ/σ
Z= (108 - 100)/8 = 1.
The probability of P(Z > 1) can be obtained from the standard normal distribution table or calculator.
Using the standard normal distribution table, the probability that P(Z > 1) is 0.1587.
So, the probability that the IQ scores of a randomly selected person are greater than 108 is 0.1587.
Between 96 and 116.
The probability is represented as P(96 < X < 116)The random variable X is distributed normally with mean = 100 and standard deviation = 8.
The formula for standard normal distribution is Z1= X1 - μ/σ
Z = (96 - 100)/8
Z= -0.5
Z2 = X2 - μ/σ
Z2= (116 - 100)/8
Z2= 2.
The probability of P(-0.5 < Z < 2) can be obtained from the standard normal distribution table or calculator.
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What is the nth term rule of the linear sequence below?
22,18,14,10,6.....
Answer:
it goes down by 4 every time
3: A farmer keeps cows and pigs on his farm. The ratio of cows to pigs on the farm is 2:3 (a) What percentage of the animals on the farm are cows? (b) What percentage of the animals on the farm are pigs?
Answer:
(a) 40% of the animals are cows.
(b) 60% of the animals are pigs.
Step-by-step explanation:
(a) You have to find the percent of the cows. 2:3 can be written as 2/5 for the cows and you have to figure out x/100.
2/5 = x/100
5*20 = 100
2*20 = x
40 = x
(b) The rest of the animals on the farm are pigs so you have to subtract 40 from 100 for the answer.
100-40 = y
60 = y
x^2+8x+16 What is the perfect factored square trinomial
Answer:
The perfect factored square trinomial that is equivalent to the expression x^2 + 8x + 16 is:
(x + 4)^2
To see why this is the case, you can expand the expression (x + 4)^2 using the FOIL method:
(x + 4)^2 = (x + 4) * (x + 4)
= x^2 + 4x + 4x + 16
= x^2 + 8x + 16
So, x^2 + 8x + 16 can be factored as (x + 4)^2, which is a perfect square trinomial.
In the right triangle below, sin X= 3/5. This is the same as the cosine of which angle? Explain why this is true.
Answer:
sin(X)=cos(Z)
Step-by-step explanation:
trig ratio sin(x) = O/H
(where O = side opposite the angle and H = hypotenuse)
Therefore, if angle = X, O = 27 and H = 45
\(\implies sin(X)=\dfrac{27}{45}\\\\\implies sin(X)=\dfrac35\)
trig ratio cos(x) = A/H
(where A = side adjacent to the angle and H = hypotenuse)
So if A = 27 and H = 45 then
\(cos(Z)=\dfrac{27}{45}\\\\\implies cos(Z)=\dfrac{3}{5}\)
Therefore, \(sin(X)=cos(Z)\)
Jared's battery has 4/25 percent of life left. Edward's battery has 3/25 percent of life left. Who has the most battery life left?
Answer:
Jared
Step-by-step explanation:
4/25 is larger than 3/25
An item costs $370 before tax, and the sales tax is $14.80.
Find the sales tax rate. Write your answer as a percentage.
Answer:
4%
Step-by-step explanation:
370.00x4%=$14.80
There are about 0.15 million people in Barrie, Ontario,
and 0.4 million people in London, Ontario.
a) How many more people live in London than Barrie?
b) How many times as many people live in London as in Barrie?
no links.
Answer:
a)0.11
b) 3.75
Step-by-step explanation:
a) take 4 away from 15
B) do 15 divided by 4
hope this helps bye if right mark brainlest PLEASE
a function is translated from f(x)=2⋅3x 4 to g(x)=2⋅3x−1. what is the effect on f(x)?
The effect on f(x) is that it is shifted one unit to the left on the x-axis to obtain g(x).
Here,
In mathematics, a graph is a visual representation of a set of objects, called vertices or nodes, and the connections between them, called edges or links.
The function f(x) is translated to g(x) by subtracting 1 from the exponent of 3.
This means that g(x) is obtained by shifting f(x) one unit to the right on the x-axis.
The coefficient of 2 remains unchanged, which means that the overall scaling of the function remains the same.
Therefore, the effect on f(x) is that it is shifted one unit to the left on the x-axis to obtain g(x).
In other words, the graph of g(x) is obtained by taking the graph of f(x) and shifting it to the right by one unit.
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what value of x makes 1/2 (3x+ 4) = 1/2 x true
The value of x which makes the given expression 1/2(3x+4) = 1/2x true is -2
We have to simplify the given expression to find the value of x
1/2(3x + 4) = 1/2x
Cancel 1/2 from both sides
⇒ 3x + 4 = x
⇒ 2x = -4
⇒ x = -2
Hence, the value of x is -2 which makes the given expression true.
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In 1983, a microwave oven cost $78. 75. Today, a microwave oven costs $92. 66. If the CPI is 177, what is the relation of the actual price of a microwave oven to the expected price, to the nearest cent? a. The actual price is $46. 73 lower than the expected price. B. The actual price is $5. 59 lower than the expected price. C. The actual price is $13. 91 higher than the expected price. D. The actual price is $71. 35 higher than the expected price.
The actual price is $46.73 lower than the expected price.
What is the Formula for Consumer Price Index?
\(CPI_t=\frac{C_t}{C_0} * 100\)
CPI=consumer price index in the current period
Ct= expected cost in current period
C₀ =cost in the base period
It is given that
Price in base period ie 1983 C₀= $78.75
The actual cost of the microwave oven = $92.66
Consumer Price Index= 177
So, expected price of microwave oven in the current period
Ct= CPIt * C₀ /100 = 177*78.75/100 = $139.39
Difference between the actual price and expected price = 139.39-92.66=$46.73
Therefore, The actual price is $46.73 lower than the expected price.
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there are 7 green marbles in a bag and 9 yellow marble. you randomly select three marbles. what is the probability that all three marbles are green when a)
There are 7 green marbles in a bag and 9 yellow marble. Randomly selecting three marbles, the probability that all three marbles are green is 0.082 or approximately 8.2%
Assuming that the marbles are drawn without replacement (meaning that after the marble is drawn, it is not placed again into the bag), the possibility of drawing three inexperienced marbles is:
a) First marble: 7/16 (on account that there are 7 green marbles out of 16 total)
Second marble: 6/15 (due to the fact there are actually 6 green marbles out of 15 closing)
Third marble: 5/14 (on account that there at the moment are 5 inexperienced marbles out of 14 final)
Multiplying these possibilities collectively offers:
(7/16) x (6/15) x (5/14) = 0.036
Therefore, the opportunity of drawing 3 green marbles is 0.036, or approximately three.6%.
Note that the probability would be distinct if the marbles were drawn with an alternative (that means that every marble is positioned back into the bag before the next marble is drawn). In that case, the opportunity of drawing an inexperienced marble on each draw would be 7/16, and the opportunity of drawing 3 green marbles in a row might be (7/16) x (7/16) x (7/16) = 0.082 or approximately 8.2%
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A motorboat with the current went 72 mi in 4 hours. Against the current, the motorboat could go
only 40 mi in the same amount of time. Find the rate of the motorboat in calm water.
Answer:
14 mph
Step-by-step explanation:
Speed of boat in calm water = x
Speed of current = y
Speed of boat with the current = 72 mi / 4 hr = 18 mph
Speed of boat against current = 40 mi / 4 hr = 10 mph
x + y = 18
x - y = 10
2x = 28
x = 14
Answer: 14 mph
Answer:
14 m/hr
Step-by-step explanation:
72 m / 4 hr = 18 m/hr
40 m / 4 hr = 10 m/hr
still water speed = (18+ 10 )/2 = 14 m/hr
current speed (14 -x) 4 = 40
x = current speed = 4 m/hr
Which is the best way to write the underlined parts of sentences 2 and 3?
(2) They have a special finish. (3) The finish helps the
swimmer glide through the water.
Click for the passage, "New Swimsuits."
OA. Leave as is.
B. a special finish that helps
C. a special finish, but the finish helps
D. a special finish so the finish helps
Answer:
Option B is the best way to write the underlined parts of sentences 2 and 3.
Sentence 2: They have a special finish that helps.
Sentence 3: The finish helps the swimmer glide through the water.
Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.
an irs auditor randomly selects 3 tax returns from59returns of which7contain errors. what is the probabilitythat she selects none of those containing errors?
Therefore , the probability that she selects none of those containing errors is 0.6798.
What does probability really mean?Calculating how likely or "possible" it is for an event to occur is the subject of probability. Words like "definitely," "impossible," or "likely" may be used to communicate the likelihood that a particular event will occur. Mathematics always expresses probabilities as fractions, decimals, or percentages, with values ranging from 0 to 1.
Here,
Number of ways of selecting 3 returns out of 59 is C(59,3).
Out of 59 returns, 59-7 = 52 returns has no error so number of ways of selecting 3 returns out fo 52 is C(52,3).
The probability that she selects none of those containing errors is
P( No errors )=\(\frac{C(52,3)}{C(59,3)}\)=0.6798
Therefore , the probability that she selects none of those containing errors is 0.6798.
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Helppp me Please!! i beg
Answer:
The answer would be -16
Step-by-step explanation:
Add
5
can you please help me with this problem
Answer:
$1.15
Step-by-step explanation:
add the cost of all of the items: 1 + 3.50 + 3.50 + 1 = 9
multiply 9 by the given discount: 9 x 0.15 = 1.35
you get 1.15, this is the dollar price of the discount
Answer:
C, 1.35
Step-by-step explanation:
Let's add the prices of the items together first since they got 15% off when they bought it together.
1 + 3.50 + 3.50 + 1 = 9
Next, we will do 15% off of 9.
15% x 9 =
(15:100) x 9 =
(15 x 9):100 =
135:100 = 1.35
Help I will be marking brainliest!!!
A. 28.8
B. 36
C. 48
D. 38.4
Answer:
It would be rounded up to 30
Step-by-step explanation:
I guessed and got it right
Answer:
RT will be 36
But don't know how to find TA that is what asked in the question
Cómo se dice en inglés qué haces de bueno
Se dice "Whats good" en ingles
a cylindrical container must hold 2l or 2,000 cm^3 of liquid. find the dimensions of the container which will minimize the amount of material needed.
The dimensions of the container is r = 6.828 cm and h = 13.656 cm.
Volume of the Cone:
Volume of the cone is define the space or the capacity of the cone.
The formula for the volume of the cone is,
V = πr²h
Where
r represents the radius of the cone
h represents the height of the cone
Given,
Cylindrical container must hold 2l or 2,000 cm³ of liquid.
Here we need to find the dimensions of the container which will minimize the amount of material needed.
Let height = h and radius of the base = r.
We know that the volume of the container,
V = 2000
We know the formula of volume of the cone is,
V = πr²h
2000 = πr²h
Here we need the value of h,
So,
h = 2000/πr²
and surface area of the can
S = 2πr² + 2πrh
Apply the value of h,
S = 2πr² + 2πr (2000/πr²)
S = 2πr²+ (4000/r)
S = 2πr²+ 4000 x r⁻¹
S′=(−1)(4000r⁻²)+4πr
S′=4πr−(4000/r²)
Consider,
4πr−(4000/r²) = 0
4πr³−4000 = 0
πr³−1000 = 0
πr³ = 1000
r³ = 1000 / π
r = √1000 / π
r = 6.828 cm
Apply the value of r on the equation to find the value of h,
h = 2000/(π∗(6.828)²)
h = 2000/146.46
h = 13.656
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The margin of error of a confidence interval about the difference between the means of two populations is equal to Group of answer choices the width of the confidence interval half the width of the confidence interval 1.5 times the width of the confidence interval twice the width of the confidence interval
The correct answer is "half the width of the confidence interval."
The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.
In a confidence interval, the width represents the range between the upper and lower bounds of the interval. The margin of error indicates the maximum amount by which the sample estimate can deviate from the true population parameter.
To calculate the margin of error, you divide the width of the confidence interval by 2. This is because the margin of error represents the distance from the sample estimate to the upper or lower bound of the interval. By dividing the width by 2, we determine the maximum amount of deviation from the estimate allowed on either side.
Therefore, the correct answer is "half the width of the confidence interval."
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What is the exact volume of the cylinder
Answer:
Volume = πr2h
= π×52×9
= 225π
= 706.85 inches3
Step-by-step explanation:
What is the perimeter of triangle Q(3,-3) R(-4,5) P(3,5)
Answer:
QR = ( -7, 8) = √113
QP= ( 0, 8) = 8
PR= ( -7, 0) = 7
=> √113 + 8+ 7 = 15+√113
Brian irons \dfrac29
9
2
start fraction, 2, divided by, 9, end fraction of his shirt in 3\dfrac353
5
3
3, start fraction, 3, divided by, 5, end fraction minutes. Brian irons at a constant rate.
The fraction that Brian can iron in a minute is 5/81.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. It should be noted that in a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
Here, set up a proportion (shirt ironed/minutes = shirt ironed/minutes). I'll convert 3 3/5 to an improper fraction as well to set it up.
(2/9) / (18/5) = x / 1
Cross multiply
2/9 = (18/5)x
Multiply both sides by 5/81 to solve for x.
x = 10/162
In this case, it should be noted that we can reduce 10/162 to the lowest term. This will be 5/81
The clothes that Brian can iron will be 5/81.
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Complete question
Brian irons 2/9 of his shirt in 3 3/5 minutes. If Brian irons at a constant speed how much of his shirt does he iron in a minute
hello please help i’ll give brainliest please tell me what to write..
Answer: 10 should have one dot, 14 should have one, 15 should have two, 16 should have one, 17 should have three, 18 should have one, and 20 should have one
Step-by-step explanation: count how many certain numbers there are and then place how ever many of the same number there are with dots on the graph
The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill. If the dendist finds n cavities, what will the cost of the visit be? Write your answer as an expression.
Answer:
=$50+$100*n
Answer:
solution given:
The price of a visit to the dentist =$50. additional charge = $100 per cavity If the dentist finds n cavities, the cost of the visit be=$50+$100*n
as n is multiplied to cavity found and $50 is added as visit price
Answer:
$50 + $100n
Step-by-step explanation:
Base Price: $50
Rate Price: $100 per cavity (n)
The price would be $50 + $100 for each of the n number of cavities
$50 + $100(n)
$100n + $50
\(\boxed{$50 + $100n}\)
-Chetan K