Answer: 18 Minutes and 45 Seconds Or 18.75 Minutes
Step-by-step explanation:
The easiest way to do this is to divide 2.5 by 2 to get 1.25
Then we times 1.25 by 15 to get 18.75 minutes
In 1974 a mother was 6 times as old as her daughter. If the mother turned 50 in the year 2000, in what year was the mother double her daughter’s age?
This is in the topic of linear equations and please provide an explanation. (The working out)
Answer:
1990
Step-by-step explanation:
Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.
Hence, the daughter was 24/6 = 4 years old in 1974.
In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.
We need to find "x" from the equation
2(4 + x) = 24+x.
8 + 2x = 24 + x,
x = 24 - 8 = 16.
1974 + 16 = 1990.
Answer In 1990 the mother doubles her daughter's age
Check In 1990 mother's age is/was 24 + 16 = 40 years.
In 1990 the daughter's age is/was 4 + 16 = 20 years.
anthony and cleopatra are lying dead on the floor in a villa. nearby on the floor is a broken bowl. there is no mark on either of their bodies and they were no posioned. how did they die
Anthony and Cleopatra were lying dead on the floor in a villa because they were fishes in the water bowl that might have fallen and broke down.
Since, there was a broken bowl nearby the dead bodies,
it seems like Anthony and Cleopatra were fishes who were in the water in the bowl that broke down.
Since the bowl in which the fishes were, broke down, the water of the bowl spilled and the fishes were no more in water due to which they died. This is the because there was no mark on their body and were neither poisoned.
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I need help, please I don;t know what I am supposed to do
Answer:you have to mutiply
Step-by-step explanation:
Please help thank you
for a normal distribution with a population mean of 80 and a standard deviation of 15, find the proportion of the population corresponding to scores between 65 and 110.
The proportion of population having score between 65 to 110 is 81.85%.
We have-
Mean of population = 80
Standard deviation of population = 15
We are supposed to find the proportion of the population corresponding to scores between 65 and 110.
According to the formula of the Z-score.
z = (x-μ)/σ
X=interval, μ= population mean ,
σ= standard deviation
Here,x = 65,μ= 80,σ= 15 andz = (65-80)/15z = -1
For Z=-1, From the z-table, the area to the left is 0.1587
Now, we need to find the area in the right It can be calculated as follows.
z = (110-80)/15 = 2.
Area to the left of Z=2.00 is 0.028
So, the area between Z= -1 and Z= 2 is
= Total Area - (area of population below 65 + area of population above 110)=1-(0.1587+0.0228)=0.8185
The proportion of the population corresponding to scores between 65 and 110 is 0.8185 or 81.85%.
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Evaluate the expression when m=6
m²-5m-4
\(\huge\text{Hey there!}\)
\(\large\boxed{\mathsf{m^2 - 5m - 4}}\\\large\boxed{\mathsf{= 6^2 - 5(6) - 4}}\\\large\boxef\large\boxed{\mathsf{= 36 - 30 - 4}}}\\\large\boxed{\mathsf{= 6 - 4}}\\\large\boxed{= \textsf{2}}}\\\huge\boxed{\text{Therefore, your answer is: \textsf 2}}\huge\checkmark\)
\(\huge\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
what is the mass to the nearest tenth of a gram of 3.50 moles of sodium metal?
Answer:
The mass of 3.5 moles of Ca (Sodium) is 140 g to two significant figures.
A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. If they all work together, in how many days will the work finish?
Answer:
= 120 days
Step-by-step explanation:
find their LCM
30,24,20
= 120 days
The mass of a certain grain of sand is 0.009 grams and the mass of the salt is 0.0006. Use scientific notation to compare the masses of the salt and sand grains. Show your work.
Pls Hurry !!!!!!!
i will give 100 points
Answer: The mass of the sand is greater than the mass of the salt.
Step-by-step explanation: Scientific notation is a way of writing numbers that are very large or very small. It is written in the form a x 10^b, where a is a number between 1 and 10 and b is an integer. For example, 300 can be written as 3 x 10^2 in scientific notation.
To compare the masses of the salt and sand grains using scientific notation, we first need to write them in scientific notation. The mass of the salt is 0.0006 grams, which can be written as 6 x 10^-4 grams. The mass of the sand is 0.009 grams, which can be written as 9 x 10^-3 grams.
Next, we compare the exponents. Since -3 < -4, we know that 9 x 10^-3 > 6 x 10^-4. This means that the mass of the sand is greater than the mass of the salt.
Hope this helps, and have a great day!
find the point on the sphere x^2 (y 2)^2 (z 7)^2 = 9 nearest to the point (0, -6, -7)
The point on the sphere nearest to (0,-6,-7) is (0,-2,-7/3).
To find the point on the sphere nearest to the point (0,-6,-7), we need to minimize the distance between the point and the sphere. The distance between the point (x, y, z) and (0,-6,-7) is given by the distance formula:
d = sqrt((x-0)^2 + (y+6)^2 + (z+7)^2)
Since we want to minimize the distance, we can minimize d^2 instead:
d^2 = (x-0)^2 + (y+6)^2 + (z+7)^2
Now we need to find the point on the sphere that minimizes d^2 subject to the constraint x^2(y^2)^2(z^2+7^2) = 9.
To do this, we can use Lagrange multipliers. We need to minimize the function:
F(x,y,z,λ) = (x-0)^2 + (y+6)^2 + (z+7)^2 + λ(x^2(y^2)^2(z^2+7^2) - 9)
Taking the partial derivatives and setting them equal to zero, we get:
2(x-0) + 2λxy^4(z^2+7^2) = 0
2(y+6) + 2λx^2y^3(z^2+7^2) = 0
2(z+7) + 2λx^2(y^2)^2z = 0
x^2(y^2)^2(z^2+7^2) - 9 = 0
Simplifying and solving for x, y, z, and λ, we get:
x = 0
y = -2
z = -7/3
λ = -9/(1764(5/4))
Therefore, the point on the sphere is (0,-2,-7/3).
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HELP!!!!!
50 POINTS!
Answer:
true
false
false
false
Step-by-step explanation:
false 0,0 blue dot go right.
i dont understand please help!
The unit rate of 80 feet/20 seconds is ________
━━━━━━━☆☆━━━━━━━
▹ Answer
4 feet in 1 second.
▹ Step-by-Step Explanation
\(\frac{80 ft}{20 s} \\\\\)
Divide the numerator and denominator by 20
\(\frac{4 ft}{1 s}\)
This means 4 feet in one second.
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
80 feet per 20 seconds is the same thing as 8 feet per 2 seconds, or 4 feet per second.
That is the same as 240 feet per minute, and 14,400 feet per hour. 4,800 yards per hour. 2.72772727272 miles per hour.
Hope this helps!
yo need help on this please
Answer:
wnnsnsmamamamamas
Step-by-step explanation:
jsmallaam By sna
Answer:
I hope you understand what I wrote
Let & = {0,1}. What is the minimum number of accepting states that Σ an NFA recognizing all binary strings with at most two ls should have?
The minimum number of accepting states required in the NFA is three: States A, C, and D. These states represent the possible scenarios of having zero, one, or two '1's in the binary string.
To construct an NFA that recognizes all binary strings with at most two '1's, we can use a combination of states and transitions. Let's analyze the possibilities: If the string has no '1's, then it can be recognized by a single state, let's call it State A. If the string has one '1', it can be recognized by two states: one for the initial '0's, let's call it State B, and one for the '1', let's call it State C. We can transition from State B to State C upon encountering a '1'. If the string has two '1's, it can be recognized by three states: State B, State C, and another state, let's call it State D. We can transition from State C to State D upon encountering the second '1'.
Therefore, the minimum number of accepting states required in the NFA is three: States A, C, and D. These states represent the possible scenarios of having zero, one, or two '1's in the binary string.
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The quantity y varies directly with the square of t. If y = 5
when t = 2, what will y be when t = 6?
Include the expression that represents the relationship between the
variables y and t
The value of y is 5/9
The expression that represents the relationship between the variables y and t is y/t²= k
How to determine the expressionWe need to know that in direct variation, the increase in one variable causes an increase in the other.
From the information given, we have that;
y ∝ t²
Find the constant value, we have;
y/t²= k
Substitute the values, we have;
k = 5 (2)²
Find the square and multiply the values, we get;
k = 5(4)
Multiply the values
k =20
Now, if t = 6, we have to substitute the value of k, we get;
y = k/t²
y = 20/6²
Find the square
y = 20/36
y = 5/9
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What is slope-intercept form?
Answer:
y = mx+b
Step-by-step explanation:
The slope intercept form of the equation of a line is
y = mx+b where m is the slope and b is the y intercept( where it crosses the y axis)
a 24 factorial design has been run in a pilot plant to investigate the effect of four factors on the molecular weight of a polymer. the data from this experiment are as follows (values are coded by dividing by 10). (a) construct a normal probability plot of the effects. which effects are active? (b) construct an appropriate model. fit this model and test for significant effects. (c) analyze the residuals from this model by constructing a normal probability plot of the residuals and plotting the residuals versus the predicted values of y.
A 24 factorial design has been run in a pilot plant to investigate the effect of four factors on the molecular weight of a polymer.
(a) To construct a normal probability plot of the effects, follow these steps:
1. Calculate the main effects (A, B, C, D) and interaction effects (AB, AC, AD, BC, BD, CD, ABC, ABD, ACD, BCD, ABCD) using the given data.
2. Rank the effects in ascending order based on their absolute values.
3. Calculate the percentile for each effect using the formula: (i - 0.5) / n, where i is the rank and n is the total number of effects (in this case, 15).
4. Find the corresponding z-scores for each percentile from a standard normal distribution table.
5. Plot the z-scores against the effects in a scatter plot.
Active effects are those that deviate significantly from the straight line formed by the majority of the points in the plot.
(b) To construct an appropriate model and test for significant effects:
1. Include only the active effects identified in step (a) in your model.
2. Fit the model using multiple linear regression or another suitable method.
3. Perform hypothesis testing on the coefficients of the effects included in the model using t-tests or F-tests. If the p-value is below a chosen significance level (e.g., 0.05), then the effect is considered significant.
(c) To analyze the residuals from the model:
1. Calculate the residuals (observed - predicted values) for each observation.
2. Create a normal probability plot of the residuals using the same method described in step (a).
3. If the residuals follow a straight line, it indicates that they are normally distributed, which is an important assumption in linear regression models.
4. Plot the residuals against the predicted values of Y in a scatter plot to check for any patterns or trends. If no patterns are observed, it suggests that the model is a good fit for the data.
By following these steps, you'll be able to identify the active effects, construct an appropriate model, and analyze the residuals.
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write an algebraic expression for each verbal expression. four more than the product of six and a number q
For every $2 that Miguel saves his parents give him $4 if Miguel saves $60 how much money will his parents give him
Find A, B and ? Please show steps as well
What is the integrated rate law for a 1st order reaction?
Jayla wants to crochet a blanket for her new baby cousin. Her pattern calls for 900 yards of thick, soft wool. She already has 200 feet of wool left from another project. At the craft store, she notices that each ball has 500 feet of wool. How many balls of wool should she buy?
Jayla should buy 5 balls of wool to have enough to complete the blanket for her baby cousin.
First, let's convert the measurements to the same unit. Since the pattern calls for yards of wool and the ball has feet of wool, we need to convert yards to feet.
1 yard is equal to 3 feet, so 900 yards is equal to 900 * 3 = 2700 feet.
Jayla already has 200 feet of wool left from another project.
Therefore, she needs a total of 2700 - 200 = 2500 feet of wool.
Each ball of wool has 500 feet. To calculate the number of balls she should buy, we divide the total required feet by the amount of wool in each ball:
Number of balls = 2500 / 500 = 5.
Therefore, Jayla should buy 5 balls of wool to have enough to complete the blanket for her baby cousin.
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what is the 4th root of 81
Answer:
3
Step-by-step explanation:
3x3x3x3 = 81
Answer:
3
Step-by-step explanation:
the factors of 81 are
81 = 9 × 9 = 3 × 3 × 3 × 3 ( that is 3 multiplied by itself 4 times ) , then
\(\sqrt[4]{81}\) = 3
There are 12 turtles on a log, and 9 of those turtles are green. What fraction
of the turtles are green?
Answer:
75%
Step-by-step explanation:
Take 9/12 and multiply it by 100 and you get the percentage of the turtles that are green.
A rental car agency charges $16 per day plus 14 cents per mile to rent a certain car. Another agency charges $23 per day plus 10 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?
a) 175 miles per day
b) 1750 miles per day
c) 97.5 miles per day
d) 975 miles per day
Answer:
Step-by-step explanation:
The answer is 175 miles per day. I guessed on it and it was right :D
The number of miles per day that will have to be driven for the total cost of of a car from the first agency to equal the total cost of a car from the second agency is 175.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A rental car agency charges $16 per day plus 14 cents per mile to rent a certain car. Therefore, we can write,
Total charge for x miles = $16 + $0.14(x)
Another agency charges $23 per day plus 10 cents per mile to rent the same car. Therefore, we can write,
Total charge for x miles = $23 + $0.10(x)
Since it is needed to be found the number of miles that the car should be traveling so that the total cost from both the agencies is the same. Thus, equate the equation together,
$16 + $0.14(x) = $23 + $0.10(x)
16 + 0.14x = 23 + 0.10x
0.14x - 0.10x = 23 - 16
0.04x = 7
x = 7 / 0.04
x = 175 miles per day
Hence, the number of miles per day that will have to be driven for the total cost of of a car from the first agency to equal the total cost of a car from the second agency is 175.
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Kelly is recording the temperature of a cooling chemical. Using the table, determine the initial
temperature of the chemical when she poured into the beaker.
Answer:
Initial temperature of the chemical = 97°
Step-by-step explanation:
Time Temperature Difference
4 89.5 -
10 78.25 78.25 - 89.5 = -11.25
16 67.00 67 - 78.25 = -11.25
There is a common difference of -11.25 in each successive term.
Therefore, cooling of a chemical represents a linear function.
Let the function representing temperature is,
f(t) = at + b
Where 'a' = rate of change in temperature
b = initial temperature
t = time
Now 'a' = \(\frac{y_2-y_1}{x_2-x_1}\) = \(\frac{78.25-89.5}{10-4}\)
a = -1.875
f(t) = -1.875t + b
For t = 4 and f(t) = 89.50,
89.50 = -1.875(4) + b
b = 97
Therefore, function representing the cooling of chemical is,
f(t) = -1.875t + 97
And the initial temperature of the chemical was 97° when it was poured into the beaker.
Three negative charges of equal magnitudes are positioned along the x-axis at x = -a, x=0, and x = +a respectively. The charge located at x=0 is moved away along the y-axis to a position (x,y) = (0, +a). How does the potential energy of the system of charges change as a result?Answera) The potential energy may increase or decrease depending on the magnitude of the charges.b) The potential energy decreases.c) The potential energy stays the same.d) The potential energy increases.e) More information is needed to answer the question.
The potential energy of the system of charges change as a result option (b) the potential energy decreases.
The potential energy of a system of charges depends on their relative positions and magnitudes. In this case, the system consists of three negative charges of equal magnitudes, and we are moving one of them away from the x-axis to a new position (0, +a).
Initially, the potential energy of the system can be calculated using the formula for the potential energy of a system of point charges
U = (1/4πε₀) × q₁q₂/r₁₂ + (1/4πε₀) × q₁q₃/r₁₃ + (1/4πε₀) × q₂q₃/r₂₃
where U is the potential energy of the system, q₁, q₂, and q₃ are the charges, r₁₂, r₁₃, and r₂₃ are the distances between the charges, and ε₀ is the electric constant.
Assuming that the charges are equal and using the distance formula for the distances, we get
U = (1/4πε₀) × q² [(1/|x+a|) + (1/|x|) + (1/|x-a|)]
When x=0, this simplifies to
U = (1/4πε₀) × (3q²/a)
When we move the charge at (0,0) to (0,a), we are effectively increasing the distance between this charge and the other two charges along the x-axis. This means that the distances r₁₃ and r₂₃ increase, while the distance r₁₂ remains the same.
As a result, the potential energy of the system decreases.
Therefore, the correct answer is (b) the potential energy decreases.
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can anyone help me out plzz
Can someone help with my homework I am trying to raise all my grades to A´s I will make you barinllest :)
Answer: see below
Step-by-step explanation:
Natural Numbers: 1, 2, 3, ..... ∞
Whole Numbers: 0, 1, 2, 3, ..... ∞
Integers: -∞ ..... -3, -2, -1, 0, 1, 2, 3, ..... ∞
Rationals: Includes fractions that terminate or repeat
*******************************************************************
Irrationals: Numbers that do not terminate or repeat (this includes square roots that cannot be simplified)
1) 4: Natural, Whole, Integer, Rational
2) \(\sqrt6:\) Irrational
3) π : Irrational
4) -6: Integer, Rational
5) 0: Whole, Integer, Rational
6) \(0.\overline6\) → repeating decimal: Rational
7) \(-\sqrt{0.04}\) → simplifies to -0.2: Rational
8) \(\sqrt{0.4}\) → does not simplify: Irrational