Answer:
If you're trying to find the missing length:
8
Step-by-step explanation:
I'm guessing ur trying to find the missing length. If so:
Pythagorean theorem states that 3^2+x^2=5^2
If we simplify, we get 9+x^2=25
Subtract 9 from both sides
x^2=16
x=8
An off road sport utility vehicle is advertised with a purchase price of $43,995.00. Shelli is considering the following options in buying the SUV.
Option 1: Purchase the Vehicle with a Loan
Shelli will make a down payment of $8,000 if she chooses this option.
The monthly payments for a loan at 7.95% per year on the balance will be $765.44 per month for 5 years.
Option 2: Lease the Vehicle
No down payment is required, but Shelli will make a down payment of $8,000 if she chooses this option.
The lease rate is 7.75% per year for 4 years.
The monthly lease payment is $626.25 for 4 years.
To buy the SUV at the end of the lease, it's buyout is 38% of the original value.
Calculate the total cost to own the SUV for each option. Which option is the cheapest for Shelli and by how much?
Option 2, by $851.70
Option 1, by $1,002.75
Option 2, by $1,002.75
Option 1, by $851.70
Answer:
Option 1, by $851.70Step-by-step explanation:
Option 1 total:
$8000 + $765.44*5*12 = $53926.40Option 2 total:
$8000 + $626.25*4*12 + 0.38*$43995 = $54778.10The difference:
$54778.1 - $53926.40 = $851.70As we see the option 1 is cheaper by $851.70
Correct answer choice is the last one
A florist is making identical bouquets using 72 red roses, 60 pink roses, and 48 yellow roses. What is the greatest number of bouquets that the florist can make if no roses are left over
Answer:
12 bouquets, each having 6 red roses, 5 pink roses, and 4 yellow roses.
Step-by-step explanation:
The Greatest Common Multiple is 12
72/12 = 6
60/12 = 5
48/12 = 4
100x100
here's sum points have a nice life
Answer:
10,000. Thanks!
Step-by-step explanation:
two numbers have ratio 12:5. Their difference is 98. Find the larger
number.
Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-13) = 20 B. g(-4) = -11 C. g(0) = 2 D. g(7) = -1
Answer: 5, 4, ,6 6,4 2, 2
Step-by-step explanation:
Ting a ring + Ring a ting = 5,4,6,6,4,2,2
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what is the radius of a circle in which a 30° arc is 2 inches long? 24 inches 12 inches 2 root 3
Answer:
Step-by-step explanation:
θ=l/r
where θ is in radians.
θ=30 =Π/180 ×30=π/6
π/6=2/r
πr=12
r=12/π≈3.82 in
2√3≈3.46
which is near to 3.82
PLEASE HELP GIVE BRANLIEST!!
For two events X and Y, P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5 . Find the probabilities.
1. 2/25 P(Y∩X) = ____
2.4/15 P(Y)· P(X) =____
Answer:
1. 2/25
2. 4/15
Step-by-step explanation:
1. P(Y∩X)
Since P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5, this is a conditional probability.
So P(Y∩X) = P(Y)P(X|Y) = 2/5 × 1/5 = 2/25
2. P(Y)· P(X)
P(Y)· P(X) = 2/3 × 2/5 = 4/15
Consider the relation
�
R
=
=
{
(
1
,
7
)
,
(
6
,
2
)
,
(
4
,
5
)
,
(
8
,
5
)
}
{(1,7),(6,2),(4,5),(8,5)}.
a) What is the inverse of
�
R? Enter your answer as a set of ordered pairs.
Inverse
Preview
b) Is the inverse of
�
R a function?
Part(a),
The inverse is R⁻¹ = {(7,1),(2,6),(5,4),(5,8)}.
Part(b),
The inverse of R is not a function.
a) To find the inverse of a relation, we need to switch the positions of the first and second elements in each ordered pair:
The inverse of R is:
R⁻¹ = {(7,1),(2,6),(5,4),(5,8)}
b) In order for the inverse of R to be a function, each element of the domain of R must correspond to exactly one element in the range of R. Looking at the inverse of R, we see that both (5,4) and (5,8) are in the range, but there is only one element in the domain that maps to 5 (namely, 4).
Therefore, the inverse of R is not a function.
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3. At the school festival, you can win a bicycle by pulling a red bull out of the bag. The first bag has 52 white balls, 27 green balls, and 11 red balls. The second bag has 25 white balls, 25 green balls, 25 yellow balls, and 10 red balls.
a. What are the odds of pulling a red ball from the first bag?
b. What are the odds of pulling a red ball from the second bag?
a) The Odds of pulling a red ball from the first bag is; 12.2%
b) The Odds of pulling a red ball from the second bag = 10/85 = 0.1176 = 11.76%
What is the probability of selection?We are given;
Number of white balls in first bag = 52
Number of green balls in first bag = 27
Number of red balls in first bag = 11
Total number of balls in first bag = 52 + 27 + 11 = 90 balls
Number of white balls in second bag = 25
Number of green balls in second bag = 25
Number of red balls in second bag = 10
Number of yellow balls in second bag = 25
Total number of balls in second bag = 25 + 25 + 10 + 25 = 85 balls
a) Odds(probability) of pulling a red ball from the first bag = 11/90 = 0.122 = 12.2%
b) Odds(probability) of pulling a red ball from the second bag = 10/85 = 0.1176 = 11.76%
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PLEASE HELP,, MARKING BRAINLIEST!!!
Choose the similarity statement that best represents the triangles. Provide evidence.
A. Triangles are similar by AA similarity.
B. Triangle are similar by SAS similarity.
C. Triangles are similar by SSS similarity.
D. Triangles are not similar.
Answer: D, these Triangles are not similar.
Step-by-step explanation:
Let A(n) = n^2 – n. Determine the recurrence relation that describes the sequence A
The recurrence relation that describes the sequence A(n) = n² - n is A(n) = A(n-1) + 2n - 1, for n > 1, with the initial condition A(1) = 0.
To determine the recurrence relation for the given sequence A(n) = n² - n, we need to find a formula that relates A(n) to the previous term A(n-1).
Let's consider the formula for A(n):
A(n) = n² - n.
Now, let's substitute n with (n-1) in the formula to find A(n-1):
A(n-1) = (n-1)² - (n-1) = n² - 3n + 2.
To find the recurrence relation, we subtract A(n-1) from A(n):
A(n) - A(n-1) = (n²- n) - (n² - 3n + 2) = 2n - 1.
We observe that the difference between consecutive terms is always 2n - 1. Therefore, the recurrence relation for the sequence A(n) = n^2 - n can be expressed as A(n) = A(n-1) + 2n - 1, for n > 1.
In addition, we have the initial condition A(1) = 0, which represents the base case for the recurrence relation.
By utilizing this recurrence relation and the initial condition, we can generate the sequence A(n) = n²- n for any value of n.
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Let A be an mxn matrix, and let v and w be vectors in IRn with the property that Av = 0 and Aw = 0. Explain why A(v + w) must be the zero vector. Then explain why A(cv + dw) = 0 for each pair of scalars c and d.
Let A be an mxn matrix, and let v and w be A(cv + dw) = Acv + Adw = c(Av) + d(Aw) = c(0) + d(0) = 0 + 0 = 0. In IRn with the property that Av = 0 and Aw = 0. We are to explain why A(v + w) must be the zero vector.
The sum of the vectors v and w is (v + w). The matrix-vector product between A and (v + w) can be found using matrix distribution properties.\(Av + Aw = 0 + 0 = 0, so A(v + w) = 0.\)
This is true because v and w were both mapped to the zero vector by A. Then explain why \(A(cv + dw) = 0\) for each pair of scalars c and d.
Now let’s consider the second part of the question. Let c and d be scalars. Then cv and dw are vectors in IRn.
The sum of these vectors is (cv + dw). The matrix-vector product between A and (cv + dw) can be found using matrix distribution properties. \(A(cv + dw) = Acv + Adw = c(Av) + d(Aw) = c(0) + d(0) = 0 + 0 = 0.\)
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Which of the following is the first step in the decision-making process?
a. Analyze the problem and its causes
b. Generate alternatives
c. Solicit and analyze feedback
d. Identify the problem
The correct answer is D to identify the problem.
What is the decision-making process?
The decision-making process is the method by which a judgment or a decision is reached. It involves identifying the problem or decision to be made, analyzing potential courses of action, evaluating alternatives, and selecting the best possible solution.
It's a structured process that assists in making effective decisions, and it can be useful in both personal and professional contexts. What is the first step in the decision-making process?
The first step in the decision-making process is to identify the problem. This entails defining the issue that requires a decision to be made. It's a crucial step because without accurately identifying the issue or problem, it's impossible to make the best decision.
Analyzing the problem and its causes (A), generating alternatives (B), and soliciting and analyzing feedback (C) are all critical components of the decision-making process, but they come after the problem has been identified.
As a result, option D, identifying the problem, is the first step in the decision-making process.
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the middle number; put the values in order from lowest to highest, then find the number that is exactly in the middle
Which number is closest to the CUBE ROOT of -205? *
-5.1
-5.5
o 5.9
-6.1
Answer:
-5.5
Step-by-step explanation:
Answer:
-5. 9
Step-by-step explanation:
\( \sqrt[3]{ - 205} = - 5.8963...... = approximately - 5.9\)
[x3
x<-3]
Determine f(5) for f(x) = 2x²-9, -3≤x<4
5x+4,
x24]
The f(5) for the given function f(x) is equal to 29.
We have,
f(x) = {x³ x< -3
2x² -9 -3≤x<4
5x+ 4 x≥4}
To determine f(5) for the function f(x), we need to evaluate the function at x = 5.
Let's consider the different cases based on the given piecewise definition of f(x):
For x < -3:
Since 5 is not less than -3, this case does not apply to the value we are evaluating.
For -3 <= x < 4:
Again, 5 does not fall within this range. Therefore, this case also does not apply.
For x >= 4:
Since 5 is greater than or equal to 4, this case applies. In this case, the function is defined as 5x + 4. So, substituting x = 5 into this equation, we get:
f(5) = 5(5) + 4
f(5) = 25 + 4
f(5) = 29
Therefore, f(5) for the given function f(x) is equal to 29.
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7. Assume that when you take a bath, you fill a tub to the halfway point. The portion that you fill measures 6 feet by 2 feet by 2.2 feet. When you take a shower, your use a shower head with a flow rate of 2.23 gallons per minutes and you typically spend 8 minutes in the shower. There are 7.5 gallons in one cubic foot. a. Calculate the cubic feet of water for the bath. b. Calculate the cubic feet of water for the shower. C. How many minutes do you need in the shower to use as much water as the bath?
The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet. You need 11.83 minutes in the shower to use as much water as the bath.
The volume of water filled in the bath tub is 6 feet × 2 feet × 2.2 feet = 26.4 cubic feet.
The amount of water used in shower = flow rate × time = 2.23 gallons/minute × 8 minutes = 17.84 gallons
Let's convert gallons to cubic feet: 1 cubic foot = 7.5 gallons
17.84 gallons = 17.84/7.5 cubic feet = 2.378 cubic feet
The volume of water used in the shower is 2.378 cubic feet. The volume of water used for taking a bath is 26.4 cubic feet.
To calculate how many minutes one would need in the shower to use as much water as the bath, divide the volume of water used in taking a bath with the amount of water used per minute in the shower as shown:
26.4/2.23=11.83 min
Therefore, one needs 11.83 minutes in the shower to use as much water as the bath.
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Comparing two algorithms.
Say we have two different algorithms with respective runtimes of f(n) and g(n). Given the following cases, prove whether or not f(n) = ϴ(g(n)) is true in each case. Show your work but with the crucial steps only. P.S. sqrt(n) means the square-root of n, aka n^(½).
Case
f(n)
g(n)
A
log(n^200)
log(n^2)
B
sqrt(n)
log(n)
C
3^n
5^n
D
sin(n)+3
cos(n)+1
f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).
A) \(log(n^200) log(n^2)\)
Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100
This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.
B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = [sqrt(n) / log(n)]
As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.
C) 3^n 5^n
Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = \([3^n / 5^n]\)
As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.
D) sin(n) + 3 cos(n) + 1
Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:
f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]
As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.
Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.
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In a physical education period, students are arranged in rows to form a perfect square to practice a display for the sports day. From the total number of 8046 students, 125 students were not well and others formed a perfect square to participate in the display. Find the number of students in each row.
Step-by-step explanation:
I don't know how long answers
A gas station is 9 miles away. How far is the gas station in kilometers? Use the following conversion: 1 mile is 1.6 kilometers.
1 mile = 1.6 kilometers
Multiply total miles by 1.6
9 miles x 1.6 = 14.4 kilometers
Answer: 14.4 kilometers
Answer:
14.4 kilometres
Step-by-step explanation:
Given that,
→ 1 mile = 1.6 kilometres
By using this information 9 miles will be,
→ 9 miles × 1.6 km
→ [ 14.4 km ]
Thus, the gas station is 14.4 km away.
When'd conducting a statistical hypothesis test, what is it that we are actually doing?
A. determine whether the research hypothesis is true
B. evaluating the direction of the research hypothesis
C. falsifying the null hypothesis
D. specifying a probability that H1 is equal to zero
When'd conducting a statistical hypothesis test, then falsifying the null hypothesis is it that we are actually doing.
The term hypothesis in statistics is defined as an idea or explanation that you then test through study and experimentation.
Here we need to find when'd conducting a statistical hypothesis test, what is it that we are actually doing.
As per the definition of hypothesis, the following are happen when we conduct the statistical hypothesis test,
Here at the time of Statistical analysts test a hypothesis by measuring and examining a random sample of the population being analyzed.
And the analysts use a random population sample to test two different hypotheses: the null hypothesis and the alternative hypothesis.
Based on these facts, the correct option is (C)
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Simplify (2x+5y)(3x-8y)
Answer: = \(6x^{2}\) − xy − \(40y^{2}\)
Step-by-step explanation:
{Apply\:FOIL\:method}:\quad
\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd
a=2x,\:b=5y,\:c=3x,\:d=-8y
{Apply\:minus-plus\:rules}
+\left(-a\right)=-a
=2\cdot \:3xx-2\cdot \:8xy+5\cdot \:3xy-5\cdot \:8yy
Simplify 2 · 3xx − 2 · 8xy + 5 · 3xy − 5 · 8yy: 6x − xy − 40y
2 2
= \(6x^{2}\) − xy − \(40y^{2}\)
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Please answer question C . What's the rule in the number chain??
The rule that could be used to find the next number in item b is given as follows:
x 3.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
In item b, we have that each term is the previous term multiplied by 3, hence the common ratio is given as follows:
q = 3.
Thus the rule that could be used to find the next number in item b is given as follows:
x 3.
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In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16. what is the mean for this sample?
The mean of samples 10, 10, 10, 10, 10, and 16 will be 11.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16.
Then the data set will be given below.
10, 10, 10, 10, 10, 16
Then the mean of the data set will be
Mean = (10 + 10 + 10 + 10 + 10 + 16) / 6
Mean = 66/6
Mean = 11
Thus, the mean of the sample will be 11.
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Write an equation in slope-intercept form for this line .
Answer:
y = 2x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, then
y = 2x + c ← is the partial equation
To find c substitute (3, - 6) into the partial equation
- 6 = 6 + c ⇒ c = - 6 - 6 = - 12
y = 2x - 12 ← equation of line
Answer:
y=2x-12
Step-by-step explanation:
slope=m=y-(-6)/x-3
2=y+6/x-3
y+6=2(x-3)
y=2x-12
Data table Activity Optimistic START 0 ABCDEFGHIK А J L FINISH 605 2607NTO TO 2-253 N N N M - NO 15 3 1 1 1 Time Estimates (days) Most Likely 0 0 10 1 20 10 2 2 2 3 1 Print Pessimisitic 0 OANAN www�
Answer:
This is gebber gabber but yes
Step-by-step explanation:
Is the expression below completely factored? If not, complete the factorization.
4y(8y3 – 12y2 + 6y)
A) No, because the greatest common factor is 8y?, and the completely factored form is 8y?(4y2 - 6y + 3).
B) Yes, because the greatest common factor is 4y, and the completely factored form is 44(8y3 - 12y2 + 6y).
C) No, because the greatest common factor 4y?, and the completely factored form is 4y?(8y2 - 12y + 6).
D) No, because the greatest common factor is sy, and the completely factored form is 8y(4y3 - 6y2 + 3y).
Answer:
A) No, because the greatest common factor is 8y?, and the completely factored form is 8y2(4y2 - 6y + 3).
Step-by-step explanation:
Considering the expression
4y(8y3 – 12y2 + 6y)
From the elements in the parenthesis, 2 and y can still be factored out such that what will be left of each element
8y3/2y = 4y2
12y2/2y = 6y
6y/2y = 3
Hence
4y(8y3 – 12y2 + 6y) = 4y*2y(4y2 - 6y +3)
= 8y2(4y2 - 6y + 3)
evaluate the expression z^-t(m^t)^z if m=2, t=-3, and z=0
Substitute the values in the expression.
\(\begin{gathered} (0)^{-(-3)}(2^{-3})^0=(0)^3(2^{-3})^0 \\ =0\cdot(\frac{1}{2^3})^0 \\ =0\cdot(\frac{1}{8})^0 \\ =0\cdot1 \\ =0 \end{gathered}\)Thus answer is 0.
Simplify: (x + 7)(x-4)
A. 2r +3
B. 12-28
C. x2-3x - 28
D. x2 + 3x - 28
Answer:
(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28
how many different samples of size 4 (without replacement) can be taken from a finite population of size 10? a. 10,000 b. 210 c. 40 d. 5,040
Answer:
Step-by-step explanation:(10,4)=10.9.8.7/4.3.2.1=210
The number of different samples of size 4 that can be taken from a finite population of size 10, without replacement, is 210.
The formula for calculating the number of different samples of size r that can be taken from a finite population of size n without replacement is given by the combination formula: nCr = n! / (r! * (n-r)!), where n! denotes n factorial (n × (n-1) × (n-2) × … × 1).
In this case, we want to find the number of different samples of size 4 that can be taken from a population of size 10, so we use the combination formula with n=10 and r=4:
10C4 = 10! / (4! × (10-4)!) = (10987) / (4321) = 210
Therefore, there are 210 different samples of size 4 that can be taken from a population of size 10 without replacement.
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