Answer:
$24.90
Step-by-step explanation:
Answer:
24.90
Step-by-step explanation:
8. Leslie wants to reach 1,000 followers on
Tik
Tok. She gains 30 new followers each
day. Which inequality can be used to find
d, the number of days it will take her to
meu meet or exceed her goal of 1,000
followers?
dal
a. 30d<1,000
b. 300 > 1,000
c. 300 > 1,000
d. 30d < 1,000
Answer:
It is 33 days soo
It is not there it should be 30d>1000
Someone plz help me giving brainliest
Answer:
1. CIRCLE water begins to boil UNDERLINE mothers teakettle whistles
2. A Thesaurus
3. Professor Tanaka forgot that he's giving a lecture tomorrow at 8:30
4.You your brothers get along very good?
5. May 20, 1968
Step-by-step explanation:
I hope this helps you
Answer:
1) (circle) Water begins to boil
(underline) Teakettle whistles
2) Thesaurus
3) (Professor) Prof. Tanaka forgot he is giving a lecture tomorrow at 8:30.
4) Do your brothers get along very well?
5) May 20, 1986
Hope this Helps!zoey inflates 24 balloons for decorations at the middle school dance. if zoey inflated 15% of the total number of balloons for the dance, how many balloons are there total?
Answer:
160
Step-by-step explanation:
Divide 24 by 15 percent (.15)
24/.15
=160
Answer:
160
Step-by-step explanation:
from the question, we know that 24 balloons are 15% of total.
make equation:
\(\frac{15}{100} =\frac{24}{x}\)
calculate:
100*24/15=160 balloons
Country A and country B both have the production functions: = (, ) = 1/32/3 a. Does this production function have constant returns to scale? b. What is the per-worker production function, = ()? c. Assume that neither country experiences population growth or technological progress and that 20 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country c. B saves 30 percent of output each year. Using your answer from part (b) and the steady-state condition that investment equals depreciation, find the steady-state level of capital per worker for each country. Then find the steady-state levels of income per worker and consumption per worker.
The steady-state levels of consumption per worker are 0.9 for country A and 1.4 for country B.
How to check if a production function has constant returns to scale, how the per-worker production function is obtained by dividing the production function by the labor input L, and how the steady-state level of capital per worker is found by equating investment to depreciation?a. To check if a production function has constant returns to scale, we need to examine if doubling both inputs results in a doubling of output. Let's try it out:
f(2K, 2L) = (2K)^(1/3) * (2L)^(2/3) = 2^(1/3) * K^(1/3) * 2^(2/3) * L^(2/3)
= 2 * (K^(1/3) * L^(2/3)) = 2f(K,L)
Since doubling the inputs results in a doubling of output, this production function has constant returns to scale.
b. The per-worker production function is obtained by dividing the production function by the labor input L:
f(K,L)/L = (1/32)^(1/3) * K^(1/3) * L^(-2/3)
c. The steady-state level of capital per worker is found by equating investment to depreciation:
sY = δK
where s is the saving rate, Y is output per worker, δ is the depreciation rate, and K is the capital per worker. Solving for K, we have:
K = sY/δ
For country A, s=0.1 and δ=0.2, so:
K_A = (0.1*(1/32)^(1/3)*K_A^(1/3)/(0.2)
Simplifying:
K_A^(2/3) = (0.1/(0.2*(1/32)^(1/3)))^3
K_A = ((0.1/(0.2*(1/32)^(1/3)))^3)^(3/2) = 4
Similarly, for country B, s=0.3 and δ=0.2, so:
K_B = (0.3*(1/32)^(1/3)*K_B^(1/3)/(0.2)
Simplifying:
K_B^(2/3) = (0.3/(0.2*(1/32)^(1/3)))^3
K_B = ((0.3/(0.2*(1/32)^(1/3)))^3)^(3/2) = 12
To find the steady-state levels of income and consumption per worker, we use the production function and the capital per worker found above:
Y_A = (1/32)^(1/3)*4^(1/3) = 1
Y_B = (1/32)^(1/3)*12^(1/3) = 2
The steady-state levels of consumption per worker are found by subtracting the investment per worker (sY) from the output per worker:
C_A = (1 - 0.1)*1 = 0.9
C_B = (1 - 0.3)*2 = 1.4
Therefore, the steady-state level of capital per worker for country A is 4, and for country B it is 12. The steady-state levels of income per worker are 1 for country A and 2 for country B. The steady-state levels of consumption per worker are 0.9 for country A and 1.4 for country B.
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Graduation rate is one measure used to compare colleges in national publications. One such publication compared semester tuition against graduation rate, defined as the percentage of students who graduate within four years. The value of r for the scatterplot is 0.856.
Which of the following is an appropriate summary of the scatterplot?
There is no relationship between tuition and graduation rate.
Colleges with lower tuition tend to have higher graduation rates.
Colleges with higher tuition tend to have higher graduation rates.
There is a weak, positive relationship between tuition and graduation rate.
Answer: Based on the value of r being 0.856, which is close to 1, there is a strong positive relationship between tuition and graduation rate. Therefore, the appropriate summary of the scatterplot is:
"Colleges with higher tuition tend to have higher graduation rates."
Step-by-step explanation:
Simplify the expression. Write your answer as a power.
The simplified expression is
Answer:
view explanation, please
Step-by-step explanation:
If the variable is the same and you are multiplying: add the exponents.
\(Z^8 * Z^6 = Z^8+^6\)
8+6=14
If the variable is the same and you are dividing: subtract the exponents.
\(Z^1^4-^8=Z^6\)
Answer:
The answer is Z⁶
Step-by-step explanation:
Cancel the common factor, Z⁸
Intro to equations of lines
Answer:
y=1/3x + 1
Step-by-step explanation:
y=mx+b
x is slope
b is y-intercept
ITS BEEN OVER 48 HRS SINCE I FIRST POSTED THIS QUESTION PLEASE HELP ME IF YOU CAN :((((((((((!!!!!!!!!!!!!!!!!!!!!!!!!
Find the volume of the pyramid. SHOW YOUR WORK so I can see if the answer makes sense.
Step-by-step explanation:
we know,
volume of pyramid = 1/3 × base area × height
so,
→ 1/3 × 120 × 9
→ 40 × 9 = 360 ft
so the volume of the pyramid is 360 ft².
base area = length × slant height
so, 12 × 10 = 120
hope this answer helps you dear....take care and may u have a great day ahead dear !
PLS ANSWER 50 POINTS :)
(Relating to Math of Money/ Math Models specifically, but that wasn't a category option)
What are the relative advantages and disadvantages of each option in terms of interest rates, down payment, and payment options?
Answer:
The advantages and disadvantages of options Options are a very unique investment vehicle so it is important to learn the unique characteristics of options before you decide to trade them. Advantages. Leverage. Options allow you to employ considerable leverage. This is an advantage to disciplined traders who know how to use leverage. Risk/reward ratio. Some strategies, like buying options, allow you to have unlimited upside with limited downside.
hope this helps:)
Find a recurrence relation for the number of n digit quaternary (0, 1, 2, 3) sequences with at least one 1 and the first 1 occurring before the first 0 (possibly no 0s).
The recurrence relation for the number of n-digit quaternary sequences with at least one 1 and the first 1 occurring before the first 0 is:
\(A_n = 2 * A_{n-1}\)
Let's denote the number of n-digit quaternary sequences satisfying the given conditions as \(A_n\). We can establish a recurrence relation for A_n based on the position of the first digit in the sequence.
Consider the possible cases:
1. Case 1: The first digit is 1.
In this case, the remaining n-1 digits can be any valid (n-1)-digit quaternary sequence that satisfies the given conditions.
Since the first 1 has already been placed, the remaining sequence can have any combination of digits 1, 2, and 3. Hence, the number of such sequences is \(A_{n-1}\).
2. Case 2: The first digit is not 1.
If the first digit is not 1, it must be 2 or 3 (as per the given conditions). In this case, the remaining n-1 digits can be any valid (n-1)-digit quaternary sequence satisfying the given conditions, without any restriction on the placement of 0s and 1s.
Hence, the number of such sequences is \(A_{n-1}\).
Therefore, the recurrence relation for the number of n-digit quaternary sequences with at least one 1 and the first 1 occurring before the first 0 is:
\(A_n = 2 * A_{n-1}\)
This recurrence relation states that the number of n-digit sequences satisfying the given conditions is twice the number of (n-1)-digit sequences satisfying the same conditions.
We also have the base case A₁ = 1, as there is only one valid 1-digit quaternary sequence that satisfies the given conditions, which is "1".
Using this recurrence relation, you can compute the number of n-digit quaternary sequences with the specified conditions for any given value of n.
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HELP PLEASE!!! Picture below!
Length of Segments Practice
the the darom below to annwer questions
Answer:
7 (units)
Step-by-step explanation:
If E is placed at the number 6- then it would take 6 to get to 0. If B is placed at -1, then it would be one more backward to get to B- so it would take 7 to get from E to B.
please help!
1. select all solutions to the equation
3x - y = 10
A). Neither
B). only (3, 1)
C). (4, -2)
D). both (4, -2) and (3, 1)
2. which of the following points are NOT
solutions to the equation? (select all that apply)
y = 5x - 7
A). (1, -2)
B). (3, 8)
C). (1, 2)
D). 0, 1)
E). (-1, -2)
F). (0, -7)
1. B) only (3,1)
2. A), B) and F)
now combine all your games& you play the first game 36 times and then the second game 50 times. what is the probability of losing less than $72 in total?
The probability of losing less than $72 in total is 0.68.
To find the probability of losing less than $72 in total, we need to first calculate the expected loss for each game and then use the law of total probability to find the overall probability.
First, let's calculate the expected loss for each game. The expected loss for the first game is 36 * -2 = -72, and the expected loss for the second game is 50 * -1.5 = -75.
Now, we need to use the law of total probability to find the overall probability of losing less than $72 in total. The law of total probability states that the probability of an event occurring is the sum of the probabilities of the event occurring under each possible condition. In this case, the possible conditions are losing less than $72 in the first game and losing less than $72 in the second game.
So the overall probability of losing less than $72 in total is:
P(losing less than $72) = P(losing less than $72 in first game) + P(losing less than $72 in second game) - P(losing less than $72 in both games)
= (36/100) + (50/100) - (36/100) * (50/100)
= 0.36 + 0.5 - 0.18
= 0.68
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If f(x)=2/3x+1, find f(-6)
Answer: -3
Step-by-step explanation: f(-6) =2/3(-6) + 1= -12/3 + 1 = -4 + 1 = -3
The coordinates of the four vertices of quadrilateral ABCD are listed below
4
• A(-3,3)
.
.B(2,6)
. C(5, 1)
. D(-5,-5)
Which statement proves whether or not this quadrilateral is a rectangle?
OA
The slope of CD is-
rectangle
OB The slope of AB is
-5-1
-5-5
OD. The slope of AB is
6-3
2-(-3)
3
5
6-3
2-(-3)
3
and the slope of DA IS
OC. The slope of BC is and the slope of CD is
rectangle
3-(-5)
-3-(-5)
and the slope of BC is These two segments are perpendicular, so the shape is a rectangle.
These two segments are not perpendicular, so the shape is not a
These two segments are not perpendicular, so the shape is not a
and the slope of CD is-7
These two segments are perpendicular, so the shape is a rectangle.
For the quadrilateral ABCD the statement which proves that this quadrilateral is not a rectangle is (a) The slope of CD is "(-5-1)/(-5-5) = 3/5", and the "slope of DA is [3-(-5)]/[-3-(-5)] = 8/2", these "two-segments" are not perpendicular , so the shape is not a rectangle;
The coordinates of the "four-vertices" of the quadrilateral ABCD are :
A(-3,3), B(2,6), C(5, 1), D(-5,-5);
To prove whether the quadrilateral is a rectangle or not, we need to show that its adjacent sides are perpendicular and its diagonals are congruent.
In this question, we are given the coordinates of the four vertices of the quadrilateral.
To determine if it's a rectangle, we use the slope formula to find the slopes of the sides of the quadrilateral. If slopes of adjacent sides are "negative-reciprocals" of each other, then they are perpendicular. If the slopes of the diagonals are equal, then they are congruent.
Using the given coordinates, we find that the slope of CD is = (-5-1)/(-5-5) = 3/5, and
The slope of DA is = [3-(-5)]/[-3-(-5)] = 8/2. These two slopes are not negative reciprocals of each other, so CD and DA are not perpendicular.
So, the quadrilateral is not a rectangle.
Therefore, the correct option is (a).
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The given question is incomplete, the complete question is
The coordinates of the "four-vertices" of the quadrilateral ABCD are :
A(-3,3), B(2,6), C(5, 1), D(-5,-5);
Which statement proves whether or not this quadrilateral is a rectangle?
(a) The slope of CD is (-5-1)/(-5-5) = 3/5, and the slope of DA is 3-(-5)/-3-(-5)=8/2, these two segments are not perpendicular , so the shape is not a rectangle;
(b) The slope of AB is (6-3)/(2-(-3) = 3/5, and slope of BC is (6-1)/(2-5) = -5/3, these two segments are perpendicular , so the shape is a rectangle;
(c) The slope of BC is (6-1)/(2-5) = -5/3, and slope of CD is (-5-1)/(-5-5) = 3/5, these two segments are not perpendicular, so the shape is not a rectangle;
(d) The slope of AB is (6-3)/(2-(-3) = 3/5, and slope of CD is (-5-1)/(-5-5) = 3/5, these two segments are perpendicular , so the shape is a rectangle;
hello I NEED HELP PLSSS
Determine whether the series is absolutely convergent, conditionally convergent, or divergent.
[infinity] (−1)n
e1/n
n5
n = 1
absolutely convergentconditionally convergent divergent
The terms do not decrease to zero rapidly enough (due to the presence of the denominator n^5), the series is not absolutely convergent. The series is conditionally convergent.
Let's re-evaluate the convergence of the series.
Consider the series:
∑ [infinity] (-1)^n * e^(1/n) / n^5
To determine the convergence, let's analyze the behavior of the terms as n approaches infinity.
First, let's examine the absolute value of each term:
|(-1)^n * e^(1/n) / n^5| = e^(1/n) / n^5
As n approaches infinity, the exponential term e^(1/n) approaches 1, and the denominator n^5 grows indefinitely. However, the presence of the alternating sign (-1)^n indicates that the series is an alternating series.
To determine if the series is convergent or divergent, we can apply the Alternating Series Test. The Alternating Series Test states that if a series is alternating and the absolute values of the terms decrease monotonically to zero, then the series is convergent.
In this case, as n approaches infinity, e^(1/n) approaches 1, and the terms decrease monotonically to zero since the exponential term in the numerator does not change sign. Therefore, the series is convergent by the Alternating Series Test.
However, since the terms do not decrease to zero rapidly enough (due to the presence of the denominator n^5), the series is not absolutely convergent.
Therefore, the series is conditionally convergent.
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Select the correct answer Which equation represents a line that is perpendicular to line MN?
Answer:
D. y = 4x - 6
Step-by-step explanation:
The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,
Therefore,
m₁ × m₂ = -1
Using the 2 coordinates of MN let's find the slope,
(-7, 6)(5, 3)
Therefore,
m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4
The equation that represent a line perpendicular to the line MN is
y = 4x - 6 because the slope slope(m₂) is 4.
From our formula,
4 × - 1 / 4 = - 1
So, option D meets the requirement.
Answer:
D. y = 4x - 6
Step-by-step explanation:
Which graph shows a negative correlation?
Answer:
The first graph
Step-by-step explanation:
the dots go down
The first graph is showing a negative correlation so option (A) will be correct.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
A negative correlation means the value of the function is decreasing as an independent variable is increasing.
So the slope of the negative correlation graph is always negative.
Hence "The first graph is showing a negative correlation".
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need help... on this one plsss help
Answer:
A
Step-by-step explanation:
Tiffany should have multiplied by 0.5 in step 1, not divided.
Answer:
step 1
Step-by-step explanation:
she muliplied 0.5 to h/0.5 but then divided 7 by 0.5 instead of multiplying
How many degrees are inside of a convex hexagon? Remember to use (n-2)180.
180
360
720
1080
On April 14, Mikos Souvakis borrowed $100,000 to remodel
his restaurant kitchen with a single-payment loan at 10. 5% ordinary
interest. If his loan's maturity value was $104,375, when does Mikos
have to pay it back?
and
Mikos is required to repay it on September 13 of the same year based on simple interest.
What is Basic Interest equation?When there is only one compounding every time period, simple interest is applied.
Following t years, the amount of money is predicted by:
A(t) = A(0) (1 + rt)
That where:
The initial amount is A(0).
The interest rate in decimal form is r.
In this issue:
The starting sum is A(0) = 100000.
R = 0.105 is the interest rate.
The maturity value is 104375 for A(t).
Therefore, we must find t; as a result,
A(t) = A(0)(1 + rt)
104375 = 100000(1 + 0.105t)
1 + 0.105t = 104375 / 100000
1 + 0.105t = 1.04375
0.105t = 1.04375
t = 0.04375 / 0.105
t = 0.4166
The time in years, then in days, is as follows:
On September 13, which is 152 days after April 14 (0.4166 x 365).
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If f(x) = 4x + 6 then find the value of f(6)
Answer:
f(6) = 30 hope you get it right
Step-by-step explanation:
f(6) = 4(6) + 6
= 24 + 6
= 30
f(6) = 30
Which of the following points are on the line given by the equation y=1/2x
Answer:
B, C, and F
Step-by-step explanation:
y = 1/2x
y = 1/2(4)
y = 2
y = 1/2x
y = 1/2(-2)
y = -1
y = 1/2x
y = 1/2(2)
y = 1
0.14+0.14+0.14_________0.14×3equal togreater thanless than
If we compute the operations in each side, we can see that on the left side 0.14+0.14+0.14 is the same as 3 times 0.14, so 3 x 0.14
This means that the expressions are equal to each other:
\(0.14+0.14+0.14=3\times0.14\)What is the value of x, given that OP||NQ ?
Answer:x=37
Step-by-step explanation:
n a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.
We can use the sine rule to find the hole angle, and then find the golfer angle:
\(\frac{200}{\sin(115)}=\frac{140}{\sin (Hole)}\)\(\text{Hole Angle = }\sin ^{-1}(\frac{140\times\sin (115)}{200})\)\(\text{Hole Angle = }39.37664303\text{ degre}es\)Now we can find the golfer angle:
\(\text{Golfer = 180 - 115 - 39.38 }\cong25.6\text{ degre}es\)Answer: 25.6 degrees.
Consider a binomial random variable, where the probability of failure on each trial is .3, and there are 10 different trials. What is the probability of having 8 or 9 successes
The probability of having 8 or 9 successes is 14.92%.
To solve this problem, we need to use the binomial probability formula, which is:
\(P(X=k) = (n choose k) (p)^{k} (1-p)^{(n-k)}\)
where:
- P(X=k) is the probability of getting k successes in n trials
- n is the total number of trials
- k is the number of successes
- p is the probability of success on each trial
- (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials
In this case, n = 10, p = 0.3, and we want to find the probability of having 8 or 9 successes. So we need to calculate:
P(X=8) + P(X=9)
Using the binomial probability formula, we get:
\(P(X=8) = (10 choose 8) (0.3)^8 (0.7)^2 = 0.12093\)
\(P(X=9) = (10 choose 9) (0.3)^9 ( 0.7)^1 = 0.02825\)
Therefore, the probability of having 8 or 9 successes is:
P(X=8) + P(X=9) = 0.12093 + 0.02825 = 0.14918
So the answer is 0.14918 or approximately 14.92%.
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What is the value of x?
Answer:
x = 70
Step-by-step explanation:
The angles are same side interior angles and when the lines are parallel same side interior angles are supplementary
45+ (2x-5) = 180
Combine like terms
2x +40 = 180
Subtract 40 from each side
2x+40-40 =180-40
2x = 140
Divide by 2
2x/2 = 140/2
x = 70
x = 70
Please help .... what is the answer ??
Answer:
The Correct Answer Is C