Evaluate the expression when a=4 and b=43
Answers
Answer:78?
Related Questions
Multiply the numbers and round the answer to the correct number of significant figures.
Add the numbers and round the answer to the correct number of significant figures. \[ 18.420+28.49= \]
Perform
Answers
The sum of 18.420 and 28.49, rounded to the correct number of significant figures, is 46.91.
To add the numbers 18.420 and 28.49, we align the decimal points and perform the addition. After adding the numbers, we obtain a sum of 46.910. However, we need to round the answer to the correct number of significant figures.
The rule for determining the number of significant figures in addition is to retain the same number of decimal places as the number with the fewest decimal places being added. In this case, 18.420 has three decimal places, while 28.49 has two decimal places. Therefore, we round the sum to two decimal places: 46.910 rounded to two decimal places is 46.91.
Thus, the sum of 18.420 and 28.49, rounded to the correct number of significant figures, is 46.91.
Learn more about significant figures here:
https://brainly.com/question/29153641
#SPJ11
help me please!!! will mark brainliest!!
Answers
Answer:
2
Step-by-step explanation:
(0,2) is the y-intercept
In the town of Clover, 3 out of 5 citizens who are eligible to vote did so in the fall election.
Determine the number of citizens that voted in the fall election if 400 citizens were eligible.
Answers
Answer:
240 citizens
Step-by-step explanation:
\(\frac{3}{5}\) * 400 = 240
Partial Derivatives 1 12 Points Q1.1 (a) 6 Points Which of the following is the limit definition of fy(a, b)? f(a,b+h)-f(a, b) lim h→0 h f(a,y+h)-f(a, y) lim y-a h f(a+h, b) f(a, b) lim h→0 h lim f(a, b) +h-f(a, b) h h→0 f(a, y+h)-f(a, b) lim y-a h Q1.2 (b) 6 Points Use h = 0.01 to estimate 9₂(1, 3) for g(x, y) = 5x2y. Give your answer to 2 decimal places. Enter your answer
Answers
The estimated value of g₂ₓ(1, 3) for the function g(x, y) = 5x^2y using h = 0.01 is approximately 1515.
Q1.1 (a) The correct limit definition of fy(a, b) is:
f(a, y + h) - f(a, y)
This expression represents the difference quotient, which is used to find the partial derivative of a function with respect to y. It measures the rate of change of the function f with respect to y as the variable y changes.
To find the partial derivative fy(a, b), we fix the value of x at a constant value a and consider how the function f changes with respect to y.
Q1.2 (b) We are given the function g(x, y) = 5x^2y and we need to estimate the value of g₂ₓ(1, 3) using h = 0.01.
The partial derivative g₂ₓ represents the rate of change of g with respect to x. To estimate this value, we can use the following formula:
g₂ₓ(a, b) = (g(a + h, b) - g(a, b)) / h
Substituting the values a = 1, b = 3, and h = 0.01 into the formula, we get:
g₂ₓ(1, 3) ≈ (g(1 + 0.01, 3) - g(1, 3)) / 0.01
Now let's calculate the values:
g(1 + 0.01, 3) = 5(1 + 0.01)^2(3) = 5(1.01)^2(3) ≈ 15.15
g(1, 3) = 5(1)^2(3) = 5(1)(3) = 15
Plugging these values into the formula:
g₂ₓ(1, 3) ≈ (15.15 - 15) / 0.01 ≈ 15.15 / 0.01 ≈ 1515
Therefore, the estimated value of g₂ₓ(1, 3) for the function g(x, y) = 5x^2y using h = 0.01 is approximately 1515.
Learn more about function here
https://brainly.com/question/11624077
#SPJ11
the odometer readings on a random sample of identical model sports cars are normally distributed with a mean of 120,000 miles and a standard deviation of 30,000 miles. consider a group of 6000 sports cars.approximately how many sports cars will have less than 150,000 miles on the odometer?
Answers
Answer:
about 45%
Step-by-step explanation:
it should be right
If < is the angle sign
Answers
simply 1 1/3 + 3 2/3
Answers
Answer:
5
Step-by-step explanation:
First, we can add the whole numbers together.
1 + 3 = 4
Next, we know that the denominators (base/bottom of fraction) of the fractions are the same, meaning we simply add the numerators (top of fraction).
1/3 + 2/3 = 3/3
3/3 is equal to 1.
Now, we add the 4 from above to this 1 to get our answer, 5.
Feel free to comment down if this doesn't make sense, and I can explain it in a different way.
the random variable x is known to be uniformly distributed between 3 and 13. compute e(x), the expected value of the distribution.
Answers
The expected value of X is 12. The random variable x is known to be uniformly distributed between 3 and 13.
If the random variable X is uniformly distributed between 3 and 13, then the probability density function f(x) of X is given by:
f(x) = 1 / (13 - 3) = 1/10, for 3 <= x <= 13
The expected value of X, denoted E(X), is defined as:
E(X) = ∫[from 3 to 13] x f(x) dx
Using the probability density function, we can rewrite this as:
E(X) = ∫[from 3 to 13] x (1/10) dx
Integrating with respect to x, we get:
E(X) = [(1/10) * x^2 / 2] [from 3 to 13]
E(X) = (1/10) * [(13^2 - 3^2) / 2]
E(X) = (1/10) * 120
E(X) = 12
Therefore, the expected value of X is 12.
Learn more about uniformly distributed here
https://brainly.com/question/31384725
#SPJ11
you get a survey from your chamber of commerce. it says 33% of businesspeople eat out at least once a week and 12% of families eat out once a week. within your town, there are approximately 4,400 businesspeople and 10,000 families. which market segment appears bigger?
Answers
Answer:
More businesspeople eat out per week
Step-by-step explanation:
businesspeople:
4,400 * 0.33 = 1,452
families:
10,000 * 0.12 = 1.200
Based on the survey, the market segment of businesspeople is bigger than the market segment of families.
To identify the bigger market segment based on the survey data from the chamber of commerce, we need to calculate the actual numbers of businesspeople and families that eat out at least once a week. We can then compare these numbers to see which segment is bigger.
Using the given data:
33% of businesspeople eat out at least once a week.
12% of families eat out once a week.
Number of businesspeople in the town = 4,400
Number of families in the town = 10,000
Number of businesspeople that eat out once a week = 33/100 × 4,400= 1,452
Number of families that eat out once a week = 12/100 × 10,000= 1,200
Based on the survey data, the actual number of businesspeople that eat out once a week is bigger than the actual number of families that eat out once a week.
Hence, the market segment of businesspeople is bigger than the market segment of families.
To know more about market segment refer here:
https://brainly.com/question/27993208
#SPJ11
Please help me solve this!!!
V=1/3bh
Answers
Answer:
What?
Step-by-step explanation:
Okay, the formula, then what?
Answer:
the answer is v=bh/3
Step-by-step explanation:
I solve for V since you didn't put what letter you wanted the question to be solved for.
hope this helps.
Write equation of a line parallel or to a y=2x+3 that passes the ordered pair (3,6)
Answers
Answer:
y = 2x
Explanation:
To write the equation of a line u use the formula y = mx + b, where
y = y coordinate
m = slope
x = x coordinate
b = y intercept
One thing about parallel lines is that they always have the same slope. If you want to find a line parallel to y = 2x + 3, then the parallel line will also have a slope of 2.
So far, then, the equation would look like this: y = 2x + b
To find the y-intercept, we substitute in the values from (3,6) into the equation because the line passes through that point. So:
y = 2x + b
(6) = 2(3) + b
6 = 6 + b
6 - 6 = b
b = 0
Since the y-intercept is 0 (so the line passes through the origin), it doesn't need to be written on to the end of the equation.
y = 2x + 0 is just
y = 2x
That's your final equation! hope this helps!
Evaluate when a=3, b=-1, c=5, and d=-2.
c-7=
Answers
Answer:
=d
Step-by-step explanation:
c=5 , 5-7= -2.............
brainliest pls
Can a decimal that has repeating digits after the decimal point be converted into a fraction?
Answers
Yes, a decimal has repeating digits after the decimal point is converted into a fraction.
What is a decimal number?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal is a term that frequently refers to the method of representing numbers in the decimal system.
A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.
For example, let’s have 4/3
When we evaluate this using a calculator, we can see that we have a recurring 3 after the decimal point
Then 4/3 is actually 1.3333333333333
We can see that based on the number after the decimal point we can convert this to 4/3.
To know more about decimal numbers follow
https://brainly.com/question/1827193
#SPJ6
You roll a fair six-sided die twice. The first roll shows a five and the second roll shows a six.
Answers
Answer:
2/7
Step-by-step explanation:
Ms.Lawrence buys 8 ounces of smoked salmon at 17.98 per pound how much money did ms.Lawrence spend on smoked salmon
Answers
Answer:
$8.99
Step-by-step explanation:
1 pound = 16 ounces
y pound = 8 ounces
\(\frac{1}{16} :\frac{y}{8}\)
y · 16 = 1 · 8
16y = 8
16y ÷ 16 = 8 ÷ 16
y = 0.5
0.5 pound = 8 ounces
----------------------------------
1 pound = $17.98
0.5 pound = y
\(\frac{1}{17.98} :\frac{0.5}{y}\)
y · 1 = 17.98 · 0.5
y = $8.99
The number of pivot columns of a matrix equals the dimension of its column space. (T/F)
Answers
The number of pivot columns of a matrix equals the dimension of its column space is true statement.
As given in the question,
The number of pivot columns of a matrix equals the dimension of its column space is true statement as per following reasons
The pivot columns of any matrix are linearly independent.The pivot columns span the column space to form a basis of column space in the given matrix.Therefore, the number of pivot columns of a matrix equals the dimension of its column space.
Learn more about matrix here
brainly.com/question/28180105
#SPJ4
Mai is riding her bicycle she rides at a speed
Answers
ANSWER
\(3.2hours\)EXPLANATION
Given;
\(\begin{gathered} speed=\frac{8km}{hr} \\ distance=25.6km \end{gathered}\)Recall;
\(\begin{gathered} time=\frac{distance}{speed} \\ =\frac{25.6}{8} \\ 3.2 \end{gathered}\)Therefore, the time taken is 3.2hours.
You work for an electric company and make a base pay of $200 every two weeks. You earn and extra
$15 for each hour you work. Write a function to model this scenario using f(h) for the amount of
money made and h for the hours of worked.
Answers
Answer: f=15h+200
Step-by-step explanation:
h=hours
15$ and hour
mutiply hours and dollars add base pay
f for total money made :)
2 Charles is saving $5 each week from his allowance. He already saved $15 from the money he earned from mowing his neighbor's lawn. Write the inequality to represent the number of weeks (w) will he need to save in order to save at least $75? (You are not solving this inequality.)
Answers
Answer:
15 + 5w ≥ 75
Step-by-step explanation:
Let the number of weeks be represented as w.
We are told from the question that:
Charles is saving $5 each week from his allowance. He already saved $15 from the money he earned from mowing his neighbor's lawn.
The word "at least" in mathematics means equal to or greater than and it is represented by the sign ≥
Therefore, our inequality equation is written as:
15 + 5w ≥ 75
Help me please and thank you
Answers
True for one value: -1
True for no values: 0
True for all values: 5
Can someone help me asap? It’s due today!! I will give brainliest if it’s correct
Please show work
Answers
The generalization about cedar trees is that the height of cedar trees varies from the mean by an average of 107.5
What is average?Average is the quotient obtained by dividing the sum total of a set of figures by the number of figures.
The IQR is the inter quartile range of a data. This means 50% of the data is the inter quartile range.
This means 50/100 × 492
= 246
The range is the difference between the largest and smallest
Range = 210 -16
= 194
Average = sum of height/ number of trees
= 210+16+40+130+49+200
= 107.5
therefore the average height of cedar tree is 107.5
learn more about average from
https://brainly.com/question/20118982
#SPJ1
what is the factor of x2+10x-75
Answers
Answer: x2+10x-75= (x-5)(x+15)
Step-by-step explanation:
Ok so we factor by thinking of numbers that can add to 10 and multiple to get -75. so those 2 numbers were -5 and 15. Hope this helps xD
Answer:
(x+15)(x-5)
Step-by-step explanation:
x²+10x-75= x²+15x-5x-75
=x(x+15)-5(x+15)
=(x+15)(x-5)
Find the slope and y-intercept for the given linear inequalities;then graphs the given linear inequalities. 1. 6>2x+y m=? b=? 2. x<3y-6 m=? b=?
Answers
Answer:
6 > 2x + y
To find the slope and y-intercept for this linear inequality, we need to write it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Rearranging the given inequality, we get:
y > -2x + 6
Comparing this with y = mx + b, we can see that the slope is -2 and the y-intercept is 6.
So, the slope is m = -2 and the y-intercept is b = 6.
To graph this linear inequality, we can draw the line y = -2x + 6 (which has a slope of -2 and y-intercept of 6) as a dashed line (since y > -2x + 6, not y = -2x + 6). Then we shade the region above the line, since all the points in that region satisfy the inequality y > -2x + 6.
x < 3y - 6
Again, we need to write this inequality in slope-intercept form to find the slope and y-intercept. Rearranging, we get:
3y > x + 6
Dividing both sides by 3, we get:
y > (1/3)x + 2
So, the slope is m = 1/3 and the y-intercept is b = 2.
To graph this linear inequality, we draw the line y = (1/3)x + 2 (which has a slope of 1/3 and y-intercept of 2) as a dashed line (since x < 3y - 6, not x = 3y - 6). Then we shade the region below the line, since all the points in that region satisfy the inequality x < 3y - 6.
PLS ANSWER WHAT IS 3 and 14 hundredths minus 1 and 9 hundredths?
Answers
Answer:
2 and 5 hundredths
Step-by-step explanation:
3 - 1 = 2
14 hundredths - 9 hundredths = 5 hundredths
hence you get 2 and 5 hundredths
The number of watermelons in a truck are all weighed on a scale. The scale rounds the weight of every watermelon to the nearest pound. The number of pounds read off the scale for each watermelon is called its measured weight. The domain for each of the following relations below is the set of watermelons on the truck. For each relation, indicate whether the relation is reflexive, anti reflexive, or neither
symmetric, anti symmetric, or neither
transitive or not transitive
justify your answer
a) watermelon x is related to watermelon y if the measured weight of watermelon x is at least the measured weight of watermelon y. No two watermelons have the same measured weight. b) watermelon x is related to watermelon y if the measured weight of watermelon x is at least the measured weight of watermelon y. All watermelons have exactly the same measured weight
Answers
a) The relation is reflexive, symmetric, and transitive.
b) The relation is not reflexive, symmetric, or transitive.
a) For each watermelon x, x is related to x because the measured weight of x is at least the measured weight of x. Therefore, the relation is reflexive.
For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is also related to x (meaning the measured weight of y is at least the measured weight of x). Therefore, the relation is symmetric.
For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is related to z (meaning the measured weight of x is at least the measured weight of z). Therefore, the relation is transitive.
b) For each watermelon x, x is not related to x because no two watermelons have the same measured weight. Therefore, the relation is not reflexive.
For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is not related to x (meaning the measured weight of y is not at least the measured weight of x).
Therefore, the relation is not symmetric. For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is not related to z (meaning the measured weight of x is not at least the measured weight of z).
Therefore, the relation is not transitive.
Learn more about reflexive, symmetric, and transitive here:
brainly.com/question/30105522
#SPJ11
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
Answers
An equation is formed when two equal expressions. The correct option is C.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.)
A.) 4(x + 3) + 2x = 6(x + 2)
4x + 12 + 2x = 6x + 12
4x + 2x -6x = 12 + 12
0 = 0
All real numbers will satisfy the equation, therefore, the equation has an infinite number of solutions.
B.)
5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 4x = x + 3x + 3
4x - 11 = 4x + 3
4x-4x = 3 +11
0 ≠ 14
All real numbers will satisfy the equation, therefore, the equation has an infinite number of solutions.
C.)
5(x + 3) + x = 4(x + 3) + 3
5x + 15 + x = 4x + 12 + 3
6x - 4x = 15 - 15
2x = 0
x = 0
The equation has no solution.
D.)
4 + 6(2 + x) = 2(3x + 8)
4 + 12 + 6x = 6x + 8
16 + 6x = 6x + 8
6x - 6x = -16 - 8
0≠ -24
All real numbers will satisfy the equation, therefore, the equation has an infinite number of solutions.
Hence, the correct option is C.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
dentifying a Constant of Proportionality
onsider the equation y = 4.2x and the table below that
presents this relationship.
x
0
2
4
6
Y
0
8.4
16.8
25.2
The coefficient of the equation or constant of
proportionality is
Answers
Answer:
Step-by-step explanatio
23.2
Consider a continuous-time Markov chain with three states 1, 2, 3, 4, 5 and transition rates q12=1, q13 = 2, q21 = 0, q23 = 3, q31 = 0, q32 = 0. (1) Write the system of ODEs for the corresponding transition probabilities Pᵢⱼ (t) . (2) Suppose that the initial state is 1. What is the probability that after the first transition, the process X(t) enters state 2?
Answers
the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.
Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.
The ODEs for the transition probabilities can be written as follows:
dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)
dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)
dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)
dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)
dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)
dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)
where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.
Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.
To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.
The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:
total_rate = q₁₂ + q₁₃
Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:
P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate
In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.
Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:
P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3
Learn more about probability here
https://brainly.com/question/32117953
#SPJ4
Please explain all 6 hindi pronouns in english
Answers
. personal pronoun . Definite pronouns. Indefinite pronouns. relative pronouns
. Interrogative pronouns. reflexive pronouns
in a normal distribution what percent of the values lie below the mean
Answers
approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.
In a normal distribution, approximately 50 % of the values lie below the mean.
A normal distribution is symmetric around its mean, with the mean located at the center. Since the distribution is symmetric, half of the values will fall below the mean and the other half will fall above the mean.
Therefore, approximately 50 % of the values in a normal distribution will lie below the mean, and the remaining 50 % will lie above the mean.
Learn more about normal distribution here
https://brainly.com/question/15103234
#SPJ4
Approximately 50% of the values lie below the mean in a normal distribution.
In a normal distribution, the mean is located at the center of the distribution. The distribution is symmetric, meaning that there are an equal number of values on both sides of the mean. To determine the percentage of values below the mean, we need to find the area under the curve to the left of the mean.
In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, approximately 50% of the values lie below the mean. This means that if we were to calculate the area under the curve to the left of the mean, it would be approximately 0.5 or 50%.
It's important to note that in a normal distribution with a different mean and standard deviation, the percentage of values below the mean may vary. However, the concept remains the same - the area under the curve to the left of the mean represents the percentage of values below the mean.
Learn more:About normal distribution here:
https://brainly.com/question/30390016
#SPJ11