Option B
Option C
These two circles lie completely within the third quadrant
Answered by GAUTHMATH
A vendor sells hot dogs and bags of potato chips. A customer buys 3 hot dogs and 4 bags of potato chips for $14.50. Another customer buys 2 hot dogs and 2 bags of potato chips for $8.50. Find the cost of each item.
The cost of each hot dog is $2.00, and the cost of each bag of potato chips is $2.50.
To find the cost of each item, we can set up a system of equations using the given information. Let's assume the cost of each hot dog is x dollars, and the cost of each bag of potato chips is y dollars.
From the first customer's purchase, we know that 3x + 4y = $14.50.
From the second customer's purchase, we know that 2x + 2y = $8.50.
We can solve this system of equations using either substitution or elimination method. Let's use the elimination method to eliminate the variable x.
Multiplying the second equation by 1.5, we get 3x + 3y = $12.75.
Subtracting this equation from the first equation, we get:
(3x + 4y) - (3x + 3y) = $14.50 - $12.75
y = $1.75
Now, substituting the value of y into the second equation, we can solve for x:
2x + 2($1.75) = $8.50
2x + $3.50 = $8.50
2x = $8.50 - $3.50
2x = $5
x = $5 / 2
x = $2.50
Therefore, the cost of each hot dog is $2.50, and the cost of each bag of potato chips is $1.75.
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HelpPpPppPppppppppppp
Answer:
C. 30 miles per hour
Step-by-step explanation:
You plug in m = 37.5 into the formula, so:
\(s = \sqrt{24 * 37.5} \\s = \sqrt{900} \\s = 30\)
Answer:
C. 30 miles per hour
You plug in m = 37.5 into the formula, so
Step-by-step explanation:
ans is 30
i have no idea anyone have any idea
Answer:
Step-by-step explanation:
it cuts x-axis where y=0 or f(x)=0
x²-3x-28=0
x²-7x+4x-28=0
x(x-7)+4(x-7)=0
(x-7)(x+4)=0
x=7,-4it will cut x-axis at (-4,0) and (7,0)
Match the question with the answer (e.G. 1 + C) 26 x 5 161 2. 25 x 6 130 3. 22 x 6 168 4. 21 x 8 150 5. 23 x 7 132 Answers: 1 + 2 + 3 + 4 + 5 +
Answer:
1+B,2+D,3+E,4+C and 5+A
Step-by-step explanation:
(A)161 (B)130 (C)168 (D)150 (E)132
1. 26 x 5=130
This is Option B, therefore we have the match:1+B
2. 25 x 6=150
This is Option D, therefore we have the match:2+D
3. 22 x 6=132
This is Option E, therefore we have the match: 3+E
4. 21 x 8=168
This is Option C, therefore we have the match: 4+C
5. 23 x 7=161
This is Option A, therefore we have the match:5+A
validity coefficients greater than _________ are considered in the very high range.
When a validity coefficient exceeds 0.90, it is considered to be in the very high range.
Validity coefficients greater than 0.90 are considered in the very high range.
Validity coefficients measure the strength of the relationship between a test or measurement and the construct it is intended to assess. The coefficients range from -1.00 to +1.00, where higher values indicate stronger validity.
When a validity coefficient exceeds 0.90, it is considered to be in the very high range. This suggests that the test or measurement has a high degree of accuracy in assessing the intended construct, demonstrating a strong relationship between the two. Validity coefficients in this range provide strong evidence that the test is measuring what it is intended to measure.
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Choose the graphs that show a linear function.
Answer:
the second and fourth option, remember y = f(x) = a + bx
Step-by-step explanation:
What is the quotient of (x^3 3x^2-4x-12)/(x^2 5x 6).
Answer:
Answer: The quotient is (x-2).
Step-by-step explanation:
Since we have given that
Now, we have to find the quotient of the above expression.
So, here we go:
Now, we will divide the above simplest form with g(x):
Hence, the quotient is (x-2).
Step-by-step explanation:
Determine the derivative of f(x) = -5x+3x from first principles first Calculate
Answer:
The derivative of the function f(x) = -5x+3x is ----> -2
Step-by-step explanation:
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible
Answer:
the blocks represents a²+b²=c², the largest block represents the hypotenuse which would be c² the smallest can either be a or b
Step-by-step explanation:
Billy saved 1/5 of his allowance. Aisha saved 1/9 of her allowance. Who saved a great part of his or her allowance?
Answer:
Billy
Step-by-step explanation:
1 divided by 5 is .20 or 20%
1 divided by 9 is .11 or 11%
R/qtl2: software for mapping quantitative trait loci with high-dimensional data and multi-parent populations.
R/qtl2 is a software package that allows for the mapping of quantitative trait loci (QTL) using high-dimensional data and multi-parent populations. It provides a comprehensive and flexible framework for QTL mapping, allowing researchers to analyze complex traits and genetic architectures.
To use R/qtl2, you would need to install R (a programming language for statistical computing) and the R/qtl2 package.
The software supports a wide range of QTL mapping methods, including interval mapping, composite interval mapping, and multiple QTL mapping. It also provides tools for data cleaning, data visualization, and QTL effect estimation.
When using R/qtl2, it is important to preprocess the data and specify the genetic model appropriately. The software allows for various types of genetic maps, including genetic markers and SNP markers. You can specify the population structure, such as the number of parents and the type of mating design.
Once the analysis is complete, R/qtl2 generates results, including QTL effect estimates, LOD scores, and QTL confidence intervals. These results can be visualized using various plotting functions within the package.
In conclusion, R/qtl2 is a powerful software for mapping QTL using high-dimensional data and multi-parent populations. It provides a range of tools and methods to analyze complex traits and genetic architectures.
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Show the asymptotic complexity of the following recurrences using substitution. A starting "guess" has been provided for you. Recall, you do not need to prove the base case in order to receive full credit. a) T(n)=T(n/2)+1 is O(log(n)). b) T(n)=2T(n/2)+n is Ω(nlog(n))
a) The recurrence T(n) = T(n/2) + 1 has an asymptotic complexity of O(log(n)). b) The recurrence T(n) = 2T(n/2) + n has an asymptotic complexity of Ω(nlog(n)).
a) To analyze the recurrence T(n) = T(n/2) + 1, we make a guess that T(n) = O(log(n)). Assuming this guess is correct, we substitute T(n/2) with O(log(n/2)) = O(log(n)) in the recurrence relation. We get T(n) = O(log(n)) + 1. Since O(log(n)) + 1 is dominated by O(log(n)), our guess holds true, and we conclude that T(n) = O(log(n)).
b) For the recurrence T(n) = 2T(n/2) + n, we make a guess that T(n) = Ω(nlog(n)). Assuming this guess is correct, we substitute T(n/2) with Ω((n/2)log(n/2)) = Ω(nlog(n) - nlog(2)) in the recurrence relation. We get T(n) = Ω(nlog(n) - nlog(2)) + n. Simplifying, we have T(n) = Ω(nlog(n) + n - nlog(2)). Since nlog(n) dominates nlog(2), T(n) is Ω(nlog(n)), confirming our guess.
In both cases, the substitution validates our initial guesses for the asymptotic complexity of the recurrences.Therefore, The recurrence T(n) = T(n/2) + 1 has an asymptotic complexity of O(log(n)). The recurrence T(n) = 2T(n/2) + n has an asymptotic complexity of Ω(nlog(n)).
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Please help trigonometry
Answer:
= 59.36
Step-by-step explanation:
S = 207
so, tan(16) = H/S
tan(16°) = 0.28674539
so H = tan(16) * S = 0.28674539 * 207 = 59.35629573
so the tree high = 59.36 foot
Triangle
A
B
C
is reflected about the y-axis then translated 8 units down to create Triangle
A
′
B
′
C
′
.
If
∠
B
=
39.8
∘
, what will be the measure of
∠
C
′
, in degrees?
Angle A′ is the same as angle A since the translation does not change angles. angle C′ must be 180 - 39.8 - 50.2 = 90 degrees. Therefore, angle C′ is also 39.8 degrees.
When a triangle is reflected about the y-axis, its x-coordinates are negated, but its y-coordinates remain the same. So, if point B had coordinates (x,y), after reflection it would have coordinates (-x,y). Similarly, if point C had coordinates (x,y), after reflection it would have coordinates (-x,y). Then, the triangle is translated 8 units down, which means that the y-coordinate of each point is decreased by 8. So, the new coordinates of point B′ would be (-x, y-8) and the new coordinates of point C′ would be (-x, y-8).
Since we know that angle B is 39.8 degrees, we can use the fact that angles in a triangle sum to 180 degrees to find angle A. Angle A + 90 degrees (from the reflection about the y-axis) + 39.8 degrees = 180 degrees. Solving for angle A, we get that angle A is 50.2 degrees.Finally, we can use the fact that the sum of the angles in triangle A′B′C′ must also be 180 degrees. Angle B′ is the same as angle B since reflecting about the y-axis does not change angles. Angle A′ is the same as angle A since the translation does not change angles.
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Whats the answer for 18 ÷ 9 · 3.
Answer:6
Step-by-step explanation:
Answer:
18 : 9 · 3 = 2 · 3 = 6
Step-by-step explanation:
Korey is planning to open a comic book store. he has developed the following expense breakdown for set-up and operation for the first year. korey has $8,500 in savings and $25,000 in inheritance money to use to open his store. will korey have enough to run his business for a full year? expense amount rent $10,800 insurance $3,000 store fixtures $2,700 computer and cash register $1,200 inventory $17,400 a. yes, korey will have $1,600 to spare. b. no, korey will be short $1,600. c. yes, korey will have $15,800 to spare. d. no, korey will be short $15,800.
Answer:
C. 15800 to spare
Step-by-step explanation:
All you have to do is add up the total money he has to spend money, then you add up the total cost, and subtract the total money he has to spend by the total cost, and you're left with he has 15,800 left to spare. ;)
He should make a loan from the investors about 4.6%..
What is Percentage?To determine the volume or chance of commodity in terms of 100, use the chance formula. Per cent simply means one in a hundred. With the chance formula, a number between 0 and 1 can be expressed. A number that's expressed as a bit of 100 is what it is. It's substantially used to compare and determine rates and is represented by the symbol.
Total quantum plutocrat Korey have
= Saving plutocrat heritage plutocrat
= $,500$,000
= $,500
Total quantum of charges
= Store Fixtures amount + Computer and Cash Register amount + Inventory amount +Rent amount + Insurance amount
= $2700 + $1200 + $17400 +$10800 + $3000
= $35100
So, Fund taken through loans and investor
= Total quantum of charges -Total quantum plutocrat Korey have
= $ 35100-$ 33500
= $ 1600
and, the percentage is
= 1600 x 100 / 35100
= 4.6%
He should make a loan from the investors about 4.6%.
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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?
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
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HELP URGENTLY NEEDED STUCK ON THIS FOR 2 DAYS!!!!! LOTS OF POINTS FOR PERSON WHO HELPS!!!
Jada is three years older than twice her brother’s age. Select all the equations that correctly represent the relationship between Jada’s age j and her brother’s age b.
Multiple select question.
A) j=2b+3
B) j=2(b+3)
C) j=b2−3
D) b=2j+3
E) b=j−32
F) b=j2−3
Answer:
A
Step-by-step explanation:
2b meaning two times the age then add three like the question says.
Rotate the figure 90° counterclockwise about the origin.
Step-by-step explanation:
if we're going based off this photo, I would say your triangle would now be in the quartile just above it. So the 1st quartile, or basically the only spot for both coordinates would be positive.
fast food restaurants pride themselves in being able to fill orders quickly. a study was done at a local fast food restaurant to determine how long it took customers to receive their order at the drive thru. it was discovered that the time it takes for orders to be filled is exponentially distributed with a mean of 1.5 minutes. what is the probability that it takes from 2 to 3 minutes to fill an order?
The probability that it takes from 2 to 3 minutes to fill an order is approximately 0.2562 or 25.62%.
Given that the time it takes for orders to be filled is exponentially distributed with a mean of 1.5 minutes.
We know that the probability density function (PDF) of exponential distribution is given by:
f(x) = (1/β) * e^(-x/β)
where β is the mean of the distribution.
Therefore, in this case, the PDF is:
f(x) = (1/1.5) * e^(-x/1.5)
To find the probability that it takes from 2 to 3 minutes to fill an order, we need to calculate the area under the PDF curve between 2 and 3 minutes.
P(2 < x < 3) = ∫2^3 f(x) dx
= ∫2^3 (1/1.5) * e^(-x/1.5) dx
= [-e^(-x/1.5)]2^3
= e^(-2/1.5) - e^(-3/1.5)
= 0.2562
Therefore, the probability that it takes from 2 to 3 minutes to fill an order is approximately 0.2562 or 25.62%.
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figure A is a scale copy of figure B
The value of x is 42.
To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.
The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.
Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.
Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.
Given that the length of side x in Figure B is 12, we can substitute it into the equation:
(2/7)x = 12
To solve for x, we can multiply both sides of the equation by 7/2:
x = (12 * 7) / 2
Simplifying the expression:
x = 84 / 2
x = 42
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Simplify 6b/7 - 3b/5
Answer:
Step-by-step explanation:
6b-3b\(\sqrt{7*5}\)
3b\(\sqrt{35}\)
what is the y-intercept
7x-4y=-28
Answer:
Thus, the y-intercept of the line is 7
Step-by-step explanation:
One given line can be expressed with the slope-intercept form as follows:
\(y=mx+b\qquad\qquad [1]\)
Where m is the slope of the line and b is the y-intercept.
We are given the following equation of the line:
7x-4y=-28
Let's transform the equation to look like the slope-intercept form [1].
Subtract 7x:
-4y=-7x-28
Divide by -4:
y=7/4x+7
Comparing with the equation [1]:
m=7/4
b=7
Thus, the y-intercept of the line is 7
write a fraction to show the value of each 9 in the decimal 0.999. how is the value of the 9 on the left related to the value of the 9 on the right? how is the value of the 9 on the rigth related to the value of the 9in the middle?
The fractions to show the value of each 9 in the decima 0.999 are 9/10, 9/100, 9/1000.
How to write decimal number in fractionTo write the fraction that shows the value of each 9 in the decimal 0.999, we can use the following method
The digit 9 in the tenths place represents 9/10 or 0.9.
The digit 9 in the hundredths place represents 9/100 or 0.09.
The digit 9 in the thousandths place represents 9/1000 or 0.009.
Thus, the fractions are
0.9 = 9/10
0.09 = 9/100
0.009 = 9/1000
The value of the 9 on the left is related to the value of the 9 in the middle by a factor of 10.
The value of the 9 on the right is related to the value of the 9 in the middle by a factor of 10, so the 9 on the right is one-tenth the value of the 9 in the middle.
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A landscape architect is designing a public patch with two adjacent circular fountains. The walking paths are tangent to the fountains as shown the lengths are given. Find x and y.
Answer:
x=4
y=11
Step-by-step explanation:
you know that tangents drawn from same point are congruent
so
6.5x-4.5=5x+1.5
1.5x=6
x=4
4x-1=y
y=11
What is the equation of this line?
Answer = y=1/2x.
Step-by-step explanation:
First, you have to tell which way the line is going/coming from which is top right to bottom left. if it is going that way it means it will be positive. this eliminates answers b and c.
Next you go to look at 1y (the first line above the middle) and see where it is towards the x line. in this case it is 1/2.
how much do i need to make to afford a $425,000 house
The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.
To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.
These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.
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please help i am confused.
a real number $a$ is chosen randomly and uniformly from the interval $[-20, 18]$. the probability that the roots of the polynomial $x^4 2ax^3 (2a - 2)x^2 (-4a 3)x - 2$ are all real can be written in the form $\dfrac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. find $m n$.
Since, m and n are prime positive number. Therefore,
m + n = 18 + 19 =037
The polynomial we are given is rather complicated, so we could use Rational Root Theorem to turn the given polynomial into a degree-2 polynomial. With Rational Root Theorem, x = 1, -1, 2, -2 are all possible rational roots. Upon plugging these roots into the polynomial, x = -2 and x = 1 make the polynomial equal 0 and thus, they are roots that we can factor out.
The polynomial becomes:
(x - 1)(x + 2)(x^2 + (2a - 1)x + 1)
Since we know 1 and -2 are real numbers, we only need to focus on the quadratic.
We should set the discriminant of the quadratic greater than or equal to 0.
(2a - 1)^2 - 4 ≥ 0.
This simplifies to:
a ≥ 3/2
or,
a ≤ - 1/2
This means that the interval (- 1/2 ,3/2) is the "bad" interval. The length of the interval where a can be chosen from is 38 units long, while the bad interval is 2 units long. Therefore, the "good" interval is 36 units long.
36/38 = 18/19
18+ 19 = 037
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Determine whether the table represents a linear or nonlinear function.
Answer:
Linear Function
Step-by-step explanation:
A linear function has constant slope
That means the ratio of y differences to x differences must be the same throughout the function. In other words the rate of change of the function y value is the same throughout the function
IF we look at the table we see that as x increases by 1, y decreases by 15
For example at x = 0, y = 20 and at x = 1, y = 5
So change in y/change in x = 0 = (5-20)/(1-0) = -15/1 = -15
If we look at another pair of points, say x = 1, y=5 and x = 2, y = -10
we get the rate of change = (-10 - 5)/(2-1) = -15/1 = -15
This is the same for any two x, y pair of values
So it is a linear function