Answer:
5⁴
Step-by-step explanation:
625= 5×5×5×5
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 1.9. In 1983, about 1600 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2003?
Chef Phillippe has 65 eggs and 46 lbs of flour in his bakery. He has a
recipe for Chocolate cake that requires 3 eggs and 2 lbs of flour. He has
another recipe for Red Velvet Cake that requires 4 eggs and 3 lbs of
flour. If all the supplies are used up making some ratio of both cakes,
how many Chocolate cake can he make?
Answer:
Step-by-step explanation:
12
An airline pricing analyst has been asked to review an airline’s flights. She has determined that 80% of all flights reach the final destination on time. Also, 30% of all flights have 100 or more passengers. When a flight has 100 or more passengers, the flight is late 60% of the time.
What is the probability the flight has 100 or more passengers and does arrive on time?
The probability that a flight has 100 or more passengers and arrives on time is approximately 0.12 or 12%.
Let A be the event that a flight has 100 or more passengers, and B be the event that the flight arrives on time. We want to find the probability of the intersection of these two events, P(A ∩ B).
We are given:
- P(B) = 0.80, the probability that any given flight arrives on time
- P(A) = 0.30, the probability that any given flight has 100 or more passengers
- P(B | A) = 0.40, the conditional probability that a flight arrives on time given that it has 100 or more passengers (since 60% of such flights are late)
We can use the formula for conditional probability to find P(A ∩ B):
P(A ∩ B) = P(B | A) * P(A)
= 0.40 * 0.30
= 0.12
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What transformation is shown below? (Look carefully at the vertices.)
translation
reflection
rotation
can't be determined
The transformation that moves the shape is (a) translation
What transformation moves the shapeFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have:
Rectangle ABCD and rectangle ABCD have the same orientationRectangle ABCD and rectangle ABCD have the same sizeThis means that the only transformation is translation
So, the transformation is (a) translation
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An educator wants to see how the number of absences for a student in her class affects the student’s final grade. The data obtained from a sample are shown.
Test at :a 05.XCV=0.811 No. of absences -\ 10, final grade 70
By conducting a statistical test with the provided data and using a significance level of 0.05 and a critical value of 0.811, the educator can determine whether the number of absences significantly affects the final grade of the students.
To analyze the relationship between the number of absences and the final grade of students, an educator collected data from a sample. The obtained data reveals that for 10 absences, the corresponding final grade was 70. In order to determine whether the number of absences significantly impacts the final grade, a statistical test is needed.
The information provided, "Test at α = 0.05, XCV = 0.811," suggests that the educator is referring to a significance level (α) of 0.05 and the critical value (XCV) associated with this level is 0.811.
To conduct a hypothesis test, the educator needs to set up the null (H0) and alternative (Ha) hypotheses. In this case, the null hypothesis would assume that the number of absences does not have a significant effect on the final grade. The alternative hypothesis would assume that the number of absences does have a significant effect on the final grade.
Using the obtained data, the educator would perform the statistical test, such as a correlation analysis or a regression analysis, to determine the strength and significance of the relationship between absences and final grade.
If the test statistic (such as the correlation coefficient or regression coefficient) exceeds the critical value, the null hypothesis would be rejected, suggesting that the number of absences does have a significant impact on the final grade.
The educator can then interpret the results, considering factors such as the direction and strength of the relationship. Additionally, they may explore other variables or factors that could be influencing the final grade and further refine their analysis.
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What number completes the sequence below? Enter your answer in the input
box at the bottom.
8——-4
16——8
24——12
32——?
Answer:
16
Step-by-step explanation:
the numbers on the right of the arrow are half the value of the corresponding numbers on the left, then
32 → [tex]\frac{1}{2}[/tex] (32)
32 → 16
SOMEONE SOLVE THUS PLEASE ILL GIVE U THIRTY BRAINILY POINTS U WILL BE RICH PLEACE ANSWER I AM IN DESPERATE NEED THANK YOU SO MUCH
The degree of f(x) is 5, and the leading coefficient is negative. There are 3 distinct real zeros and 2 relative maximum values.
How to obtain the zeros of a function?From the graph of a function, the zeros of the function are the x-intercepts, that is, the values of x for which the graph crosses or touches the x-axis.
The function in this problem has three distinct zeros, given as follows:
2 with even multiplicity, as the graph turns at the x-axis.1 with odd multiplicity, as the graph crosses the x-axis.Hence the degree of the function is given as follows:
2 x 2 + 1 = 5.
The leading coefficient is negative, as the function has an odd degree, but increases to left and decreases to right.
The relative maximums of the functions are the points where the function makes a downward turn, changing from increasing to decreasing, hence there are two points.
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An important part of the customer service responsibilities of a company relates to the speed with which troubles in residential service can be repaired. Suppose that past data indicate that the likelihood is 0.70 that service troubles can be repaired on the same day they are reported. For the first five troubles reported on a given day, what is the mean of the distribution used in this problem?
Select one:
A.
350
B.
3.5
C.
0.35
D.
0.7143
E.
3500
The mean of the distribution used in this problem is 3.5.The answer is B. 3.5.
To find the mean of the distribution used in this problem, we need to calculate the expected number of troubles that can be repaired on the same day out of the first five reported. The likelihood of a trouble being repaired on the same day is given as 0.70.
The expected number of troubles repaired on the same day can be calculated by multiplying the probability of each event by the number of trials. In this case, we have five trials (the first five troubles reported) and a probability of 0.70 for each trial.
Expected number of troubles repaired on the same day = Probability of repair on the same day * Number of trials
= 0.70 * 5
= 3.5
This means that, on average, out of the first five troubles reported, we can expect 3.5 of them to be repaired on the same day based on the past data and the given likelihood. So, the correct answer is B. 3.5.
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A village P is 12 km from village Q. It takes 3 hours 20 minutes to travel from Q to P and back to Q by a boat. If the boat travels at a speed of 6 km/h from P to Q and (6 + x) km/h back to P, find the value of x.
Answer:
Hope this helps and have a nice day
Step-by-step explanation:
To find the value of x, we can use the formula:
Time = Distance / Speed
Let's calculate the time taken to travel from Q to P and back to Q.
From Q to P:
Distance = 12 km
Speed = 6 km/h
Time taken from Q to P = Distance / Speed = 12 km / 6 km/h = 2 hours
From P to Q:
Distance = 12 km
Speed = (6 + x) km/h
Time taken from P to Q = Distance / Speed = 12 km / (6 + x) km/h
Given that the total time taken for the round trip is 3 hours 20 minutes, we can convert it to hours:
Total time = 3 hours + (20 minutes / 60) hours = 3 + (1/3) hours = 10/3 hours
According to the problem, the total time is the sum of the time from Q to P and from P to Q:
Total time = Time taken from Q to P + Time taken from P to Q
Substituting the values:
10/3 hours = 2 hours + 12 km / (6 + x) km/h
Simplifying the equation:
10/3 = 2 + 12 / (6 + x)
Multiply both sides by (6 + x) to eliminate the denominator:
10(6 + x) = 2(6 + x) + 12
60 + 10x = 12 + 2x + 12
Collecting like terms:
8x = 24
Dividing both sides by 8:
x = 3
Therefore, the value of x is 3.
Answer:
x = 3
Step-by-step explanation:
speed = distance / time
time = distance / speed
Total time from P to Q to P:
T = 3h 20min
P to Q :
s = 6 km/h
d = 12 km
t = d/s
= 12/6
t = 2 h
time remaining t₁ = T - t
= 3h 20min - 2h
= 1 hr 20 min
= 60 + 20 min
= 80 min
t₁ = 80/60 hr
Q to P:
d₁ = 12km
t₁ = 80/60 hr
s₁ = d/t₁
[tex]= \frac{12}{\frac{80}{60} }\\ \\= \frac{12*60}{80}[/tex]
= 9
s₁ = 9 km/h
From question, s₁ = (6 + x)km/h
⇒ 6 + x = 9
⇒ x = 3
SOMEINE GELP IYS DUE IN HOURS
Answer: the answer is use ur ai in Brainly, it helped me a lot
Step-by-step explanation:
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
BC = 24 (D)
Step-by-step explanation:
Special Right Triangles (30-60-90 triangle)
GEOMETRY 50POINTS
find y to the nearest degree
The value of y in the figure is
35.134 degrees
How to determine the value of yThe value of y is worked using SOH CAH TOA
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
The figure shows a right angle triangle of
opposite = 19
adjacent = 27
The angle is calculated using tan, TOA let the angle be y
tan y= Opposite / Adjacent
tan y = 19 / 27
y = arc tan (19/27)
y = 35.134 degrees
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Jacob spent 5 hours skiing and snowboarding. He skied for 2 hours 10 minutes.
How long did he spend snowboarding?
Answer:
he spent 2hours 50minutes snowboarding
the time he spent skiing and snowboarding minus the time he skied
5hours minus 2hours 10minutes
If a turtle travels 1/12 of a mile per hour how long will it take to get to a pond 5/6 of a mile away
Answer:
Step-by-step explanation:
To find the time it takes for the turtle to reach the pond, we can use the formula:
Time = Distance / Speed
Given that the turtle travels at a speed of 1/12 mile per hour and the distance to the pond is 5/6 mile, we can substitute these values into the formula:
Time = (5/6) / (1/12)
To simplify this, we can multiply the numerator by the reciprocal of the denominator:
Time = (5/6) * (12/1) = (5 * 12) / 6 = 60 / 6 = 10
Therefore, it will take the turtle 10 hours to reach the pond.
IfmZC = 142° and m LI = 48°, find mU B.
The measure of angle of arc UB is 46°
What is arc angle relationships?An arc is a part of the circumference.
If two arcs in circles with equal radii have the same length, then their central angles (and measures) will be equal.
To find the measure of angle of arc UB, we use the theorem that says;
angle I = 1/2( angle ZC - angle UB)
angle I = 48°
angle ZC = 142°
Therefore ;
represent angle UB by x
48 = 1/2( 142-x)
142 - x = 96
x = 142 -96
x = 46°
Therefore the measure of angle of arc UB is 46°
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Find the cardinality of the set R₁ \ (R₁ intersection ,)(o a f k q t i s c s, (R₂).Find the value of x, y and z such that the value of polynomial 2x² + y² + 22 - 8x + 2y - 2xy + 2xz-16z + 35 is zero.
Answer:
To find the cardinality of the set R₁ \ (R₁ ∩ R₂), we need the specific values of sets R₁ and R₂. Please provide the values of these sets for a more accurate answer.
Regarding the polynomial 2x² + y² + 22 - 8x + 2y - 2xy + 2xz - 16z + 35, we can set it equal to zero and solve for x, y, and z.
2x² + y² + 22 - 8x + 2y - 2xy + 2xz - 16z + 35 = 0
To solve this equation, we need more information or specific values assigned to the variables x, y, and z. Please provide the values or any additional conditions for finding the values of x, y, and z.
A small grocery store selling jugs of milk, loafs of bread and pieces of cheese sold a total of 224 of those three items today. It sold
three times as many loafs of bread as jugs of milk, and it sold 4 times as many pieces of cheese as loafs of bread.
a) Write an equation that represents the information.
b) Solve the equation in (a) to find the number of jugs of milk, loafs of bread, and pieces of cheese the store sold today
Answer: the store sold 14 jugs of milk, 42 loaves of bread, and 168 pieces of cheese today.
Step-by-step explanation:
a) Let's represent the number of jugs of milk as 'm', the number of loaves of bread as 'b', and the number of pieces of cheese as 'c'. According to the given information:
The total number of items sold today is 224. Therefore, we can write the equation:
m + b + c = 224
The store sold three times as many loaves of bread as jugs of milk. We can write this as:
b = 3m
The store sold four times as many pieces of cheese as loaves of bread. We can write this as:
c = 4b
b) Now, let's solve the equation:
Substituting the value of 'b' from equation (2) into equation (3):
c = 4(3m)
c = 12m
Substituting the values of 'b' and 'c' from equations (2) and (3) into equation (1):
m + 3m + 12m = 224
16m = 224
m = 224 / 16
m = 14
Using the value of 'm' in equation (2):
b = 3m
b = 3(14)
b = 42
Using the value of 'b' in equation (3):
c = 4b
c = 4(42)
c = 168
Answer:
Step-by-step explanation:
a) Let's denote the number of jugs of milk as 'x', the number of loaves of bread as 'y', and the number of pieces of cheese as 'z'.
Based on the given information, we can form two equations:
1) The total number of items sold today is 224:
x + y + z = 224
2) The store sold three times as many loaves of bread as jugs of milk:
y = 3x
3) The store sold four times as many pieces of cheese as loaves of bread:
z = 4y
b) To solve the equations and find the number of jugs of milk, loaves of bread, and pieces of cheese the store sold today, we will substitute equation (2) and equation (3) into equation (1):
x + y + z = 224
x + 3x + 4y = 224
4x + 4y = 224
Now, substitute y = 3x into the equation:
4x + 4(3x) = 224
4x + 12x = 224
16x = 224
Divide both sides by 16:
x = 224 / 16
x = 14
Now substitute the value of x back into equation (2) to find y:
y = 3x
y = 3(14)
y = 42
Finally, substitute the value of y into equation (3) to find z:
z = 4y
z = 4(42)
z = 168
Therefore, the store sold 14 jugs of milk, 42 loaves of bread, and 168 pieces of cheese today.
Como se llama un ángulo de 192 grados?
Answer:
reflex angle
Step-by-step explanation:
the angle of 192 degrees is called a reflex angle
In circle F, FG = 2 and m/GFH = 120°
Find the area of shaded sector. Express your answer as a fraction times T.
Answer:
A = [tex]\frac{4}{3}[/tex] π
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{120}{360}[/tex] ( r is the radius of the circle )
here r = FG = 2 with central angle = 120° , then
A = π × 2² × [tex]\frac{1}{3}[/tex]
= [tex]\frac{4}{3}[/tex] π
Is f(x)=-x3-x an odd function
The function f(x) = -x³ - x is an odd function.
Is the given function odd, even, or neither?Given the function in the question:
f(x) = -x³ - x
To determine if a function is odd, we need to check if it satisfies the given property:
f(-x) = -f(x)
For all x in the domain of the function.
Given that:
f(x) = -x³ - x
Evaluate f(-x) for the given function f(x) = -x³ - x:
f(x) = -x³ - x
Replace x with -x
f(-x) = -(-x)³ - (-x)
f(-x) = -(-x³) + x
f(-x) = x³ + x
Now, check if -f(x) is equal to x³ + x:
-f(x) = -(-x³ - x)
-f(x) = x³ + x
Since -f(x) = x³ + x, f(x) = -x³ - x is an odd function.
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below is the graph of a trigonometric function it has a maximum point at (-pi , 7.7) and a minimum point at (- 1/3 pi, -6.7)
what is the period of the function? give an exact value
The period of the trigonometric function is -2π/3.
What is the period of the function?To determine the period of the trigonometric function based on the given information, we need to consider the pattern of the graph and identify the interval over which it repeats.
Given that the maximum point is at (-π, 7.7) and the minimum point is at (-1/3π, -6.7), we can observe that the graph completes one full oscillation between these two points.
The distance between the maximum and minimum points corresponds to half of the period. Therefore, the full period of the function can be found by doubling this distance.
The distance between (-π, 7.7) and (-1/3π, -6.7) can be calculated as follows:
Δx = -1/3π - (-π) = π/3π - π = -π/3
Since the full period is twice this distance, we multiply by 2:
2 * (-π/3) = -2π/3
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15 yd
12 yd
20 yd
9 yd
Answer:
1080yd³
Step-by-step explanation:
1/2x12x9=54
54x20=1080
The functions f(x) and g(x) are graphed.
1(x) 5
32
1
-6-5-4-3-2-11-
-2-
-3-
3458
-4
2 3 4
g(x)
Which represents where f(x) = g(x)?
Of(0) = g(0) and f(2)= g(2)
Of(2)= g(0) and f(0) = g(4)
Of(2)= g(0) and f(4) = g(2)
Of(2)= g(4) and f(1) = g(1)
Answer: the answer is -4
Step-by-step explanation: the reason why the answer is -4 becaue all of the option is in correct.
A city currently has 2.08 thousand residents. Each year the city's population grows by around 420 persons.
After 14 years what will the approximate population of the city be? Round to three significant digits.
Approximately
thousand residents.
Answer:
the approximate population of the city after 14 years will be 7.96 thousand residents.
Step-by-step explanation:
to calculate the approximate population of the city after 14 years, we need to take into account the annual growth rate.
Given that the city's population grows by around 420 persons each year, we can calculate the total growth over 14 years by multiplying the annual growth rate by the number of years:
14 years × 420 persons/year = 5,880 persons
To find the approximate population after 14 years, we add the total growth to the current population:
2.08 thousand + 5.88 thousand = 7.96 thousand
A boat is traveling in a river that is floating downstream at a speed of 10 km/h. the boat can travel 40 km upstream in the same time it would take to travel 80 km down the stream. what is the speed of the boat in Still water?
The speed of the boat in still water is 3 times the speed of the river current.
To find the speed of the boat in still water, we can use the concept of relative motion and the given information about the boat's speed while traveling upstream and downstream.
Let's assume the speed of the boat in still water is "v" km/h, and the speed of the river current is "c" km/h.
When the boat is traveling upstream, it moves against the current, so its effective speed is reduced.
The boat's speed relative to the ground is given by (v - c) km/h.
Similarly, when the boat is traveling downstream, it moves with the current, so its effective speed is increased.
The boat's speed relative to the ground is given by (v + c) km/h.
According to the problem, the boat can travel 40 km upstream in the same time it would take to travel 80 km downstream.
Since time is constant in both cases, we can set up the following equation:
40/(v - c) = 80/(v + c)
To solve this equation, we can cross-multiply and simplify:
40(v + c) = 80(v - c)
40v + 40c = 80v - 80c
40c + 80c = 80v - 40v
120c = 40v
Dividing both sides by 40, we get:
3c = v.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Reason:
The order of ABCD and EFGH is important. This is because the letters pair up based on their position.
D and H pair up because they're the last letters of ABCD and EFGH respectively. Similar polygons have congruent corresponding angles.
Take note of how the angles are marked to indicate which angles pair up.
D = H
4x = 100
x = 100/4
x = 25
Answer:
25 is the answer by matching the equial sides
Step-by-step explanation:
100°/4=X
25=X
Geometry Final Exam
A jar of kosher dill spears is filled to the brim with a vinegar based pickling liquid and then
sealed. The base of the cylindrical jar has an area of 45 cm² and the height of the jar is
13 cm. When the pickles are opened, all the pickle juice is drained into a measuring cup,
amounting to 160 cm³ of pickle juice. Find the total volume of the dill spears.
The total volume of the dill spears is approximately 160 cm³.
To find the total volume of the dill spears, we'll need to determine the volume of the pickling liquid and subtract it from the total volume of the jar.
Given information:
Base area of the jar = 45 cm²
Height of the jar = 13 cm
Pickle juice drained = 160 cm³
First, let's calculate the volume of the jar:
The volume of a cylinder can be found using the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder.
The base area of the jar is given as 45 cm², which means πr² = 45.
So, we can find the radius (r) of the base using the formula r = √(45/π).
Let's calculate the value of r:
r = √(45/π) ≈ 3.79 cm
Now we can find the volume of the jar:
V_jar = πr²h
= π(3.79)²(13)
≈ 1818.73 cm³
Next, let's calculate the volume of the pickling liquid:
Given that 160 cm³ of pickle juice was drained, the volume of the pickling liquid is equal to the volume of the jar minus the volume of the drained pickle juice.
V_pickling_liquid = V_jar - 160
≈ 1818.73 cm³ - 160 cm³
≈ 1658.73 cm³
Finally, to find the total volume of the dill spears, we need to subtract the volume of the pickling liquid from the volume of the jar:
Total volume of dill spears = V_jar - V_pickling_liquid
≈ 1818.73 cm³ - 1658.73 cm³
≈ 160 cm³
Therefore, the total volume of the dill spears is approximately 160 cm³.
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A shoes delear net birr 8000 worth of shoes from a shoe company.Then,find the amount it is to pay including VAT
The total amount to pay would be 8800 Ethiopian Birr.
To find the amount to pay including VAT, we need to know the applicable VAT rate. VAT, or Value Added Tax, is a consumption tax added to the value of goods and services. The VAT rate can vary from country to country or even within different regions.
Assuming a VAT rate of 10%, we can calculate the VAT amount by multiplying the net value of the shoes by the VAT rate. In this case, the net value of the shoes is 8000 Ethiopian Birr. Therefore, the VAT amount would be 8000 * 0.10 = 800 Ethiopian Birr.
To find the total amount to pay including VAT, we add the VAT amount to the net value of the shoes. Thus, the total amount to pay would be 8000 + 800 = 8800 Ethiopian Birr.
It's important to note that the VAT rate and regulations can vary, so it's always advisable to check the specific VAT rate applicable in a given country or region. Additionally, different goods and services may have different VAT rates or exemptions, so it's crucial to consider the specific rules governing the shoe industry in the relevant jurisdiction.
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solve the following question
The decay constant for the plutonium is - [ln (0.5 ) / 6300].
option C.
What is the decay constant?The decay constant for the plutonium is calculated by applying the following formula.
The given function for the radioactive decay;
[tex]Q(t) = Q_0e^{-kt}[/tex]
where;
Q(t) is the quantity remaining after a given timeQ₀ is the initial quantityk is the decay constantt is the timeThe decay constant for the plutonium is calculated as;
k = ln(2) / T½
k = ln(2) / 6300
k = ln(0.5⁻¹) / 6300
k = - [ln (0.5 ) / 6300]
Thus, the decay constant for the plutonium is - [ln (0.5 ) / 6300].
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