Answer:
Question 3: would equal 30.5 and Question 4: would equal 19
in july 2008, the u.s. population was approximately 302,000,000. approximately how many americans were there in july 2009 if the estimated 2008 growth rate was 0.88%?
Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.
To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.
Convert the growth rate from percentage to decimal:
0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:
302,000,000 + 2,657,600 = 304,657,600.
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THANK YOU FOR THE OTHER BUT THIS IS THE LAST ONE MANY THANKS
5(2y-4)+5(2y-2)
Answer: 20y - 30
Step-by-step explanation:
distribute, then combine like terms.
find the compound interest on £90,000 for 3 years at the rate of 10% per annum compounded anually
Step-by-step explanation:
Final account amount will be ( using compound interest formula)
90 000 (1 + .10)^3 = 119 790 <=== ( 1-% is .10 in decimal)
subtract original amount to find interest = £ 29 790.
Answer: £29,791.00
Step-by-step explanation:
Use the Equation \(A = P(1+r/n)^(nt)\)
P represents principal which is the starting amount.
R represents rate which is the percent increase represented in decimal form.
N represents the number of times compounded per year.
T represents the total time.
The question is asking us to solve for A which is the total amount and we just have to plug in all the other variables given to us and solve and subtract from the original.
A = 90,000(1 + 0.1/1)^(1*3)
A = 90,000(1.1)^3
A = 119,791.00
We have the amount, and now we have to subtract it from the original.
119,791-90,000 = 29791
Enter an expression in the box to write a quadratic function given the vertex (7,-4) and the point (5, 8).
Answer:
f(x) = 3(x - 7)² - 4Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - h)² + k
the vertex is (7, -4) ⇒ h = 7, k = -4
so:
f(x) = a(x - 7)² + (-4)
f(x) = a(x - 7)² - 4
The parabola goes through the point (5, 8) ⇒ x=5, f(x)=8
8 = a(5 - 7)² - 4
8 = a(-2)² - 4
+4 +4
12 = 4a
÷4 ÷4
a = 3
It means the equation of the parabola in vertex form:
f(x) = 3(x - 7)² - 4
solve by substitute. 9y+8=x. -2x+8y=-36
Answer:
Let's solve for x.
9y+8=x
Step 1: Flip the equation.
x=9y+8
Answer:
x=9y+8
Let's solve for x.
−2x+8y=−36
Step 1: Add -8y to both sides.
−2x + 8y + −8y = −36 + −8y
−2x = −8y − 36
Step 2: Divide both sides by -2.
−2x / −2 = −8y − 36 / −2
x=4y + 18
Answer:
x=4y + 18
Hope it helps
Please mark me as the brainliest
Thank you
Answer:
(26, 2)
x = 26
y = 2
Step-by-step explanation:
Given:
9y + 8 = x
-2x + 8y = -36
Substitute (9y + 8) for x in the second equation.
-2(9y + 8) + 8y = -36
Then distribute and solve.
-18y + (-16) + 8y = -36
Combine like terms.
-10y - 16 = -36
-10y = -20
y = 2
Solve for x by substituting the y value (2) into 9y + 8 = x.
9(2) + 8 = x
18 + 8 = x
x = 26
Therefore, the solution is (26, 2) in terms of (x, y).
need help with 18 quick
Answer:
18a. less than
18b. equal to
18c. greater than
18d. less than
Step-by-step explanation:
2a²-2ab-3b²+9 when a=3 and b=2
\(\\ \sf\longmapsto 2a^2-2ab-3b^2-9\)
\(\\ \sf\longmapsto 2(3)^2-2(3)(2)-3(2)^2-9\)
\(\\ \sf\longmapsto 2(9)-12-3(4)-9\)
\(\\ \sf\longmapsto 18-12-12-9\)
\(\\ \sf\longmapsto 6-18\)
\(\\ \sf\longmapsto -12\)
Answer:
3
Step-by-step explanation:
2(3)^2 - 2(3)(2) - 3(2)^2 + 9
2(9) - 12 - 3(4) + 9
18 - 12 - 12 + 9
= 3
Answer from Gauth math
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
2² + 2³ × 3² + 3³ × 4² + 4³
Step-by-step explanation:
2×2+2×2×2×3×3+3×3×3×4×4+4×4×4
4+8×9+27×16+64
572....
Hope this will help u...
Describe the long run behavior of f(x)=5(2)x+1:
As x→−[infinity], f(x) =
As x→[infinity], f(x) =
The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.
The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.
As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1
As x approaches negative infinity, the value of the function approaches 1.
As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞
As x approaches positive infinity, the value of the function approaches infinity.
As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.
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A hot air balloon descends 38.5 meters in 22 seconds. If the balloon continues to descend at this rate, how long will it take to descend 125 meters?
A. 25.25 seconds
B. 86.5 seconds
C. 71.43 seconds
D. 218.75 seconds
Answer:
C. 71.43 seconds
Step-by-step explanation:
Given data
Distance= 38.5m
time= 22 seconds
speed= 38.5/22
speed= 1.75 m/s
given that distance = 125meters
t= 125/1.75
t= 71.4 seconds
I will give brainliest to whoever explains answer thouroughly.
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 5 or a multiple of 2?
Answer:
67The multiples of 2 between 1 and 15 are
2, 4, 6, 8, 10, 12, 14
The multiples of 5 are
5, 10, 15
So, there are seven multiples of 2 and three multiples of 5.
The probability of getting a multiple of 2 is
P=\frac{7}{15}= 0.47 (or \ 47\%)P=
15
7
=0.47(or 47%)
The probability of getting a multiple of 5 is
P=\frac{3}{15}=0.2 (or \ 20\%)P=
15
3
=0.2(or 20%)
Now, the probability of getting a multiple of 2 or 5 is
P=0.47+0.20=0.67 (or \ 67\%)P=0.47+0.20=0.67(or 67%)
Therefore, the answer is 67%.
Remember that the probability of one event happening OR another event happening is the sum of the probabilities of those events.
Step-by-step explanation:
hope it helps
A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity after 52 years, to the nearest hundredth?
Answer: 303.870087962229
Simplify ≈303.87
Step-by-step explanation:
Grows 9.5%→r=0.095 Divide by 100
Grows every 2 decades: exponent of t2
(where t is in decades)
Write a function:
f(t)=240(1+0.095) ^t/2 Percent change every 2 decades
52 years→52/10→5.2 decades There are 10 years in a decade
Plug in t=5.2
f(5.2)=240(1+0.095) 5.2/2
Answer: 303.870087962229
≈303.87
Round to the nearest hundredth
A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5
Answer:
The new points after dilation are
(3/2, -3) and (9/2,-3)
Step-by-step explanation:
Here in this question, we want to give the new points of the line segment after it is dilated by a particular scale factor.
What is needed to be done here is to multiply the coordinates of the given line segment by the given scale factor.
Let’s call the positions on the line segment A and B.
Thus we have;
A = (1,-2) and B = (3,-2)
So by dilation, we multiply each of the specific data points by the scale factor and so we have;
A’ = (3/2, -3) and B’= (9/2,-3)
How many 5 digit even integer can you make with 1,2,3,4,5,6,0 using once?
The number of 5 digit integers that you can make using each of 1, 2, 3, 4, 5, 6 and 0 once is given as follows:
2160 integers.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are m ways for one trial and n ways for another trial, then there are m x n ways in which the two trials can happen simultaneously.
This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual trial, according to the equation presented as follows:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
For this problem, we have 5 digits, and:
The first digit can assume six values, as it cannot assume a value of zero.The second digit can assume six values, as it cannot assume the first digit but it can assume zero.The remaining digits can assume 5, 4 and 3 outcomes.Hence the number of integers is obtained as follows:
N = 6 x 6 x 5 x 4 x 3
N = 2160 integers.
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Billy jarred 3.87 liters of jam after 3 days. How many days does Billy need to jar 15.48 liters of jam in all?
Answer: 12 days
Step-by-step explanation:
3.87/3=1.29 liters of jam in 1 day
1.29*12=15.48 liters in 12 days
Answer:
12 days
Step-by-step explanation:
factor completely.
-3x^2+9x+30
Answer:
− 3 ( x − 5 ) ( x + 2 ) hope this helps
Step-by-step explanation:
Answer:
− 3 ( x − 5 ) ( x + 2
Step-by-step explanation:
Probability Distributions for Discrete Random Variables
Which of the following are discrete random variables?
Select all that apply
1-The number of CDs that a college student owns
2- The number of dogs you own
3- The amount of gas in your car
4- Number of 6s you get when you throw 5 number cubes
5- The number of dog sleds that a competitor uses in an annual sled dog race
The discrete random variables from the given options are: 1, 2, 4, and 5.
The number of CDs that a college student owns: This is a discrete random variable because the number of CDs can only be a whole number. You cannot have a fractional or continuous value for the number of CDs.
The number of dogs you own: This is a discrete random variable because you can only own a whole number of dogs. You cannot own a fractional or continuous number of dogs.
Number of 6s you get when you throw 5 number cubes: This is a discrete random variable because the number of 6s can only be a whole number from 0 to 5. You cannot have a fractional or continuous value for the number of 6s obtained.
The number of dog sleds that a competitor uses in an annual sled dog race: This is a discrete random variable because the number of dog sleds can only be a whole number. You cannot have a fractional or continuous value for the number of dog sleds used.
On the other hand, the following option is not a discrete random variable:
The amount of gas in your car: This is a continuous random variable because the amount of gas can be any non-negative real number. It can have fractional or continuous values, such as 10.5 liters or 20.25 gallons. Option 1,2,3,4 and 5
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a) If U = {1, 2, 3,4,5,6,7,8,9,10), A = {1,3,5,7,9) and B = {2,3,5,7), find the following (i) Ā (ii) B (iii) AUB (iv) ANB (v) AUB (vi) AB (vii) Ā (viii) B
Step-by-step explanation:
sorry if this isn't right it's late and I'm tired so again I'm sorry if it's not right have a great day or night
Audrey’s dog is 23 inches tall. Audrey is twice as tall as her dog. How tall is Audrey? in inches)
Answer:
46
Step-by-step explanation: Do 23x2
Answer:
46 inches and Audrey better be a dog
Step-by-step explanation:
How Many MB in 25 GB?
25 GB is equal to 25,000 MB. if we wanted to find the number of MB in 10 GB, we would multiply 10 by 1000, which would give us 10,000 MB.
1 GB is equal to 1000 MB, so to find the number of MB in 25 GB we need to multiply 1000 MB by 25. 1000 MB x 25 = 25,000 MB, which means that 25 GB is equal to 25,000 MB. To determine the number of MB in a certain number of GB, simply multiply the number of GB by 1000. For example, if we wanted to find the number of MB in 10 GB, we would multiply 10 by 1000, which would give us 10,000 MB. Therefore, 10 GB is equal to 10,000 MB.
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Convert 150 base 10 to a binary
number.
Answer:
10010110
Step-by-step explanation:
A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:
10000000
Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:
10010000
We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:
10010100
What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:
10010110
Find the line of intersection between the lines: <3,-1,2>+<1,1,-1> and <-8,2,0> +t<-3,2,-7>. Show that the lines x + 1 = 3t, y = 1, z + 5 = 2t for t = R and x + 2 = s, y - 3 = -5s, z + 4 = -2s for t€ R intersect, and find the point of intersection. Find the point of intersection between the planes: -5x+y-2z=3 and 2x-3y + 5z = -7.
The point of intersection between the planes is (4/3, -1/3, 4/3).
Line of Intersection between Lines
The line of intersection is the line that represents the intersection of two planes. In this problem, we have to find the line of intersection between the lines and the intersection point of the planes. Here is how you can find the solution to this problem:
Given vectors and lines are: <3,-1,2>+<1,1,-1>
Line A = (x, y, z) = <3,-1,2> + t<1,1,-1><-8,2,0> +t<-3,2,-7>
Line B = (x, y, z) = <-8,2,0> + s<-3,2,-7>
The direction vector of Line A = <1,1,-1>
The direction vector of Line B = <-3,2,-7>
The cross product of direction vectors = <1,10,5>
Set the direction vector equal to the cross product of the direction vectors. (for the line of intersection)
<1,1,-1> = <1,10,5> + t<3, -2, 3> + s<-5, -6, 4>
By equating the corresponding components of each vector, you can write the equation in parametric form.
i.e. x + 1 = 3ty = 1z + 5 = 2t
On the other hand, x + 2 = s, y - 3 = -5s, and z + 4 = -2s are the equations of Line B.
We can solve this system of equations by substitution, and we get s = -1 and t = -2.
The point of intersection of the two lines is then given by (x, y, z) = (-5, 1, 1).
Point of Intersection between Planes
The point of intersection between the two planes is the point that lies on both planes.
Here is how you can find the solution to this problem:
Given planes are:-5x+y-2z=32
x-3y+5z=-7
You can solve the system of equations by adding the two equations together.
By doing this, you eliminate the y term. You get: -3x+3z=-4
The solution is x = 4/3 and z = 4/3.
By substituting these values into either equation, we get the value of y as -1/3.
Therefore, the point of intersection between the planes is (4/3, -1/3, 4/3).
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What is the 10th Amendment simple terms?.
The federal government only has powers written in the constitution and the rest or for the states
What is the vertex of the graph of the function below?
y=x² + 4x-6
A. (2,0)
B. (-2,6)
C. (-2,-10)
D. (2,6)
A relação entre o tempo e a distância percorrida pelo ciclista é uma função? Justifica.
Answer: Yes, it is a function.
Step-by-step explanation:
This question is:
"A relation between time and distance traveled by a biker is a function?"
Well, as you may know, a function is a relation where each value in the domain or input, has only linked one value in the range or output.
In this relation the domain is time and the range is the distance.
Now, as you know, at each given time, the distance of the biker can be only one (he can not be at different locations at the same time) so this relation is actually a function.
let be a dodecagon (12-gon). three frogs initially sit at and. at the end of each minute, simultaneously, each of the three frogs jumps to one of the two vertices adjacent to its current position, chosen randomly and independently with both choices being equally likely. all three frogs stop jumping as soon as two frogs arrive at the same vertex at the same time. what is the expected number of minutes until the frogs stop jumping?
The expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.
Let's consider the probability that all three frogs are at different vertices at a given time. The first frog can land on any of the 12 vertices, the second frog can land on either of the two adjacent vertices to the first frog, and the third frog can land on either of the two adjacent vertices to the second frog that are not adjacent to the first frog. Therefore, the probability that all three frogs are at different vertices is:
\(P(all $ different) = 12 * 2/11 * 2/10 = 24/55\)
If all three frogs are at different vertices, then none of them can jump to the other two vertices adjacent to their current position, otherwise they will meet. Therefore, the next time they can meet is after the first jump of the frog that is alone, and this will happen with probability 1/3.
If two frogs meet, the expected number of minutes until the third frog joins them is just the expected number of minutes until two frogs meet, which is the same as the expected number of minutes until the frogs stop jumping. Therefore, it suffices to compute the expected number of minutes until the frogs jump to the same vertex for the first time, given that all three frogs are at different vertices.
Let T be the expected number of minutes until the frogs jump to the same vertex for the first time. Conditioning on the first jump, we have:
\(T = 1/3 * 1 + 2/3 * (T + 1)\)
The first term corresponds to the case where the frog that is alone jumps to one of the two vertices adjacent to one of the other frogs and they meet. The second term corresponds to the case where the frog that is alone jumps to the vertex adjacent to the other frog and the third frog jumps to the same vertex with probability 1/2, or they jump to different vertices with probability 1/2 and we are back to the starting position, but with one less frog being alone.
Solving for T, we get:
T = 4
Therefore, the expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.
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i need help pleaseeee.
Answer:
problem 9
x is 45 and y is 20
problem 10
x is 20 and y is 10
problem 11
x is 13 and y is 12
Answer:
Step-by-step explanation:
.A backpack manufacturer wants to know if students in high school carry more books than college students do. Company researchers take a simple random sample from each group and record the number of textbooks each subject is carrying. They get the following data:
High school: (5, 3, 2, 5, 6, 4, 7, 6, 5, 4, 3, 2, 1, 4, 3, 0, 2)
College: (5, 3, 2, 4, 1, 0, 0, 3, 6, 2, 1, 3, 1, 2, 4, 4, 2)
Using high-school students as sample 1 and college students as sample 2, the researchers compute the following sample statistics and t statistic:
= 3.647, s1 = 1.9, n1 = 17
= 2.529, s2 = 1.7, n2 = 17
t = 1.808
Step-by-step explanation:
The t statistic, t = 1.808, is calculated using the sample statistics from the high school (sample 1) and college (sample 2) groups. In order to determine if high school students carry more books than college students, we need to perform a hypothesis test.
Let's set up the hypotheses:
Null hypothesis (H0): The mean number of books carried by high school students is equal to the mean number of books carried by college students.
Alternative hypothesis (Ha): The mean number of books carried by high school students is greater than the mean number of books carried by college students.
Next, we'll perform a one-tailed independent samples t-test to compare the means of the two groups using the given t statistic, degrees of freedom (df), and alpha level (α).
Given the t statistic of 1.808 and the degrees of freedom (df) calculated as df = n1 + n2 - 2 = 17 + 17 - 2 = 32, we can consult a t-distribution table or use statistical software to find the critical value corresponding to our desired alpha level.
Finally, by comparing the calculated t statistic to the critical value, we can determine whether to reject or fail to reject the null hypothesis. If the calculated t statistic is greater than the critical value, we reject the null hypothesis and conclude that high school students carry more books than college students. Otherwise, if the calculated t statistic is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that high school students carry more books than college students.
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PLEASE!!!
A gym offers two different membership options. In the first option, new members pay a one-time fee of $50 and a monthly fee of $30. In the second option, members pay a one-time fee of $100 and a monthly fee of $20.
Suppose c is the total membership cost for m months. The two equations that model the two membership options are c = 30m + 50 and c = 20m + 100.
Part A
1. To find out when the cost will be equal, you will need to solve for m using substitution. Substitute the expression for the cost from the first equation into the cost, c, in the second equation.
2. Solve the equation in number 1 for m
3. Would you get the same solution if you substituted the expression for cost in the second option for c in the first equation? Why?
9514 1404 393
Answer:
30m +50 = 20m +100m = 5yes. symmetric property of equality.Step-by-step explanation:
1. The expression for c in the first equation is (30m+50). Substituting that for c in the equation ...
c = 20m +100
gives you ...
30m +50 = 20m +100
__
2. Adding -50-20m to both sides gives ...
10m = 50
m = 5 . . . . . . . divide by 10
__
3. Doing the substitution in reverse, you would substitute (20m+100) for c in the equation ...
c = 30m +50
to get ...
20m +100 = 30m +50
This is the equation of part 1 with the expressions swapped to the other side of the equal sign. The symmetric property of equality tells you that changing sides of the equal sign does not change the value of the variable(s).
You get the same solution.