Answer:
A is correct
Step-by-step explanation:
Write the following comparison as a ratio reduced to lowest terms.
44 feet to 9898 yards
Answer:
22:4949
Step-by-step explanation:
If you get it right I’ll give brainliest!!!!
Answer:
The slope is undefined.
Step-by-step explanation:
A slope of zero would be a horizontal line, this is a vertical line, which would mean it's undefined.
What is the measure of angle BAC? Round to the nearest whole degree.
A 0°
B 1°
C 44°
D 48°
Answer: C) 44
Step-by-step explanation: EDGE 2022 CORRECT
Hurry - Fill in the blanks
Answer:
The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.
An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.
Can some one help me 2⅛-1⅜
Answer:
6 / 8 or 3 / 4
Step-by-step explanation:
Subtraction lol
Evaluate 3(x - 1) + 2 when x= 5.
O A. 14
OB. 16
O c. 4
O D. 18
Answer:
A
Step-by-step explanation:
\(3(x-1)+2= \\\\3((5)-1)+2= \\\\3(4)+2= \\\\ 12+2=\\\\14\)
Hope this helps!
Answer:
\(14\)
Step-by-step explanation:
\(3(x - 1) + 2\)
\(x= 5\)
\(3(5 - 1) + 2\)
\(3(4) + 2\)
\(12 + 2\)
\(=14\)
Which of the following equations could be solved to determine the length of RS?
Answer:
\( \frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7} \)
Step-by-step explanation:
Given:
S = 52.5°
s = QR = 7
Q = 80°
q = RS = ?
Required:
Equation that could be used to find the length of RS
Solution:
We would need the law of Sines which is given as:
\( \frac{Sin(A)}{a} = \frac{Sin(B)}{b} = \frac{Sin(C)}{c} \)
Applying the Law of Sines, we would have the following equation:
\( \frac{Sin(Q)}{q} = \frac{Sin(S)}{s} \)
Plug in the values
\( \frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7} \)
Therefore, the equation that can be used to determine the length of RS is \( \frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7} \)
24 − 12/x = −89 what is X?
Determine the measure of ∠Q, rounded to the nearest tenth of a degree.
Question 9 options:
A)
22.8°
B)
73.5°
C)
36.1°
D)
66.0°
In the given triangle the measure of ∠Q is (B) 73.5°.
What is a triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.So, let's use the Sine rule in the calculation as follows:
q/sin q = r/sin r15/sin q = 12/sin 50.1 (Cross multiply)12 × sin q = 15 × sin 50.1 (divide both sides by 12)sin q = 15 sin 50.1/12q = sin⁻¹(15 sin 50.1/12) ≈ 73.5° (Rounded off)Therefore, in the given triangle the measure of ∠Q is (B) 73.5°.
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solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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what is the length of rs
Answer: 24 units.
Step-by-step explanation: Because you go down 12 and then across the x -axis which is over 12 and when you add both positive numbers you get 24 units.
Jess spins a pointer 25 times and finds an experimental probability of the pointer landing on 3 to be or 16%. The theoretical probability of the spinner landing on 3 is or 25%. Why might there be a significant difference between the theoretical and experimental probabilities?
Answer:
The experimental probability depends on how many times you're spinning it and theoretical probability is stating what "would" happen if you're only spinning it once. After you get the theoretical probability, you would multiply that percentage by 25 to get the experimental probability percentage.
Step-by-step explanation:
The experimental probability depends on the number of times the experiment is conducted. The result from a theoretical probability is what would happen if the experiment is done once.
What is the probability?Probability determines how likely a stated event would occur. The probability the event occurs is 1 and the probability that the event does not occur is 0. Experimental probability is based on the result of an experiment that has been carried out multiples times
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Application
3. Compare the variety of vehicles detailed below. Each vehicle travels 15,000 km per year.
a. Complete the following table and graph the points on the given grid.
The completed table of values obtained by using the data and the values per 100 km is presented as follows;
3 a. \(\begin{array}{|c|c|c|c|}L \ per \, 100\, km & Litres \ used&L\, per \, 100\, km&Litres\ used \\23.5 &3525&3.9&585 \\11.7 & 1755 & 3.4&510\\7.8 & 1170&2.9&435 \\5.9 &885&2.6&390 \\ 4.7&705&2.3&345 \\\end{matrix}\)
What is a data set?A dataset is a collection of information which are related but contains elements of different values, and can be analyzed or manipulated through the use of computation methods.
The table of values is completed using the following calculations;
The distance each vehicle travels in a year = 15,000 km
The amount of fuel each vehicle uses is calculated as follows;
First car;
1. L per 100 km = 23.5 L
Liter used per year = 15,000 km/(100 km) × 23.5 L = 3525 L
2. L per 100 km = 11.7 L
Liter used per year = 15,000 km/(100 km) × 11.7 L = 1755 L
3. L per 100 km = 7.8 L
Liter used per year = 15,000 km/(100 km) × 7.8 L = 1170 L
4. L per 100 km = 5.9 L
Liter used per year = 15,000 km/(100 km) × 5.9 L = 885 L
5. L per 100 km = 4.7 L
Liter used per year = 15,000 km/(100 km) × 4.7 L = 705 L
6. L per 100 km = 3.9 L
Liter used per year = 15,000 km/(100 km) × 3.9 L = 585 L
7. L per 100 km = 3.4 L
Liter used per year = 15,000 km/(100 km) × 3.4 L = 510 L
8. L per 100 km = 2.9 L
Liter used per year = 15,000 km/(100 km) × 2.9 L = 435 L
9. L per 100 km = 2.6 L
Liter used per year = 15,000 km/(100 km) × 2.6 L = 390 L
10. L per 100 km = 2.3 L
Liter used per year = 15,000 km/(100 km) × 2.3 L = 345 L
The above values are used to complete the table as shown in the main section of the page above;
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Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°
D. An angle measuring -265°
Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°D. An angle measuring -265°
-KeonLee
I hope it help
#Carry on learning
An angle measuring -275°
*view photo*
3. Martina created this box plot to represent the number of inches of snow that fell during the winter in several different cities.
(a) What was the least amount of snowfall in any of the cities?
(b) In which quarter is the data most concentrated? Explain how you know.
(c) In which quarter is the data most spread out? Explain how you know.
Answer:
A) 5 inches of snow.
B) The fourth quarter of the box plot.
C) The first quarter of the box plot.
Step-by-step explanation:
A) 5 inches because that's where the farthest line to the left reaches.
B) The info is most concentrated in the fourth quarter of the box plot.
C) The info is least concentrated in the first quarter of the box plot.
Assume we're measuring something using numerical quantities. We put a dot above that figure in the number line for each frequency of that object we observe.
As a result, the number of total dots in the dot plot corresponds to the entire number of measurements of the values of whatever we performed.
Martina created this box plot to represent the number of inches of snow that fell during the winter in several different cities.
A) Because the longest line to the left reaches that point, the measurement is 5 inches.
B) The fourth quadrant of the box plot contains the greatest information.
C) The initial quadrant of the box plot contains the least amount of information.
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For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
570
a. 0.99 units
C. 57 units
b. 1.99 units
d. 0.50 units
Please select the best answer from the choices provided
оооо
Answer:
For a circle of radius R, the perimeter is:
P = 2*pi*R
Where pi = 3.14
If we have a section of this circle, defined by an angle θ, the length of that arc is calculated as:
L = (θ/360°)*2*pi*R
In this case, we have a unit circle, so the radius is 1 unit, and we have a section defined by an angle of 57°.
Then the total distance traveled will be equal to the length of the arc, which is:
L = (57°/360°)*2*3.14*(1 unit) = 0.99 units
Then the correct option is a.
(as we want to find the total distance, the starting point does not matter, so the total distance traveled in a section of 57° would be the same in any point of the circle, this means that the fact that we should start at the point (1,0) has no effect in this question)
A company found that monthly reimbursements to their employees could be adequately modeled by a uniform distribution over the interval $10,000 < x < 15,000.
What is the probability of employee reimbursements exceeding $12,000 next month?
Answer:
0.6 = 60% probability of employee reimbursements exceeding $12,000 next month
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
\(P(X > x) = \frac{b - x}{b - a}\)
A company found that monthly reimbursements to their employees could be adequately modeled by a uniform distribution over the interval $10,000 < x < 15,000.
This means that, in thousands of dollars, \(a = 10, b = 15\)
What is the probability of employee reimbursements exceeding $12,000 next month?
\(P(X > 12) = \frac{15 - 12}{15 - 10} = \frac{3}{5} = 0.6\)
0.6 = 60% probability of employee reimbursements exceeding $12,000 next month
The function c(x) = 0.47x + 20 represents the cost (in dollars) of a one-day truck rental when thetruck is driven x miles.What is the truck rental cost when you drive 80 miles?
Problem
The function c(x) = 0.47x + 20 represents the cost (in dollars) of a one-day truck rental when the truck is driven x miles.What is the truck rental cost when you drive 80 miles?
Solution
For this case we just need to replace into the function given by:
c(x) = 0.47x + 20
For this case we just need to replace x=80 mi and we got:
c(80)= 0.47*80 +20= 37.6 +20= 57.6
Kendra reads in Modern Dog Magazine that the average age of dogs currently alive is 4.8 years. To determine if this finding applies to the customers in her pet store, Kendra surveys every fifth customer in her store who owns a dog and asks the age of their dog. She collects data for seven weeks and obtains the following averages.
Week Average Age (in years)
1 3.7
2 3.8
3 4.2
4 4.1
5 3.9
6 3.9
7 4.0
Select the statement that is true about Kendra's sample.
a) Kendra's samples are both accurate and precise.
b) Kendra's samples are precise but not accurate.
c) Kendra's samples are neither accurate nor precise.
d) Kendra's samples are accurate but not precise.
Answer:
The true statement about Kendra's sample is:
b) Kendra's samples are precise but not accurate.
Step-by-step explanation:
a) Data and Calculations:
Average age of dogs currently alive = 4.8 years
Average ages of dogs in Kendra's sample
Week Average Age (in years)
1 3.7
2 3.8
3 4.2
4 4.1
5 3.9
6 3.9
7 4.0
Total 27.6
Mean = 3.9 (27.6/7)
b) Accuracy refers to how close Kendra's sample mean age of dogs is to the average age value as stated in the Modern Dog Magazine. While the Magazine stated an average age of 4.8 years, Kendra's sample produced a mean of 3.9 years. On the other hand, precision refers to how close Kendra's sample measurements are to each other. With a mean of 3.9 years, the sample measurements are very close to each other. Therefore, we can conclude that "Kendra's samples are precise but not accurate."
Answer:
Kendra's samples are precise but not accurate.
Step-by-step explanation:
To be accurate and precise they should be around 4.8 for all the measures. We can see that they are all relatively close to one another (between 3.7 and 4.2), so they are precise. However, they are all are smaller than 4.8, so they are not accurate.
At a neighborhood cookout,
the ratio of children to adults
is 7:2. If there are 10 adults,
how many Total people are at
the cookout?
Answer:
45 people
Set up a proportion.
7/2 = x/10
cross multiply
We get 2x=70
x= 35
Children= 35
35 children + 10 adults= 45 people
is 4 33/100 a repeating decimal
Answer:
no
Step-by-step explanation:
4 33/100 is equal to 4.33, it is 4.33, not 4.33 with the dot on it, it means recurring decimal. It is jot a recurring decimal. :)
Find x in the given figure.
A set of seven cards were labeled with N, U, M, B, E, R, S. What is the sample space for choosing one card?
S = {N, B, R, M, U}
S = {N, B, S, M, E, R, U}
S = {B, U, S}
S = {M}
The sample space for choosing one card is given as S = {N, B, S, M, E, R, U}.
What in probability theory is a sample space?A sample space is the collection of all potential results of a random experiment in probability theory. It is specified according to the nature of the experiment and is represented by the symbol S. If the experiment involves flipping a coin, for instance, the sample space would be S = H, T, where H stands for heads and T for tails. The sample space, which is a subset of the sample space, is significant because it aids in the definition of the probability of an occurrence.
We know that, a sample space is a set of all possibles outcomes.
Thus the sample space for choosing one card is given as:
S = {N, B, S, M, E, R, U}
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Select the correct answer from each drop-down menu.
The state swim meet has 27 swimmers competing for first through fourth place in the 100-meter butterfly race.
Complete the statement describing this situation.
This is an example of a ..... There are ....... possible arrangements of first through fourth place winners.
First blank
combination
Permutation
second blank
17550
108
421,200
9,687,600
Answer:
first blank is "Permutation", i dont know what the second blank is but its not 17550
Step-by-step explanation:
This is an example of a permutation. There are 421,200 possible arrangements of first through fourth place winners.
What is permutation?"A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order."
We need to arrange 27 swimmers for 4 positions
Hence, the numbers are 27P4
= \(\frac{27!}{(27-4)!}\)
\(=\frac{27.26.25.24.23!}{23!}\)
\(=421,200\)
Hence, the given situation is an example of permutation with 421,200 possible arrangements.
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The base area of a swimming pool is 192m³.the Dept of the swimming pool is 1.8cm.find the volume of the water the swimming pool can hold. please answer as soon as possible and please follow ❣️
The swimming pool can hold a volume of 3.456 cubic meters of water.
The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.
However, it is important to note that the depth should be converted to meters before performing the calculation.
To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):
Depth = 1.8 cm ÷ 100 = 0.018 m
Now we can calculate the volume of water using the formula:
Volume = Base Area × Depth
Substituting the given values, we get:
Volume = 192 m² × 0.018 m = 3.456 m³
Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.
In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.
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3x+(8x-16) simplest form
Step-by-step explanation:
3x × 8x- 3x×16
24x -48x
-24x
Which answer describes the type of numbers that are dense? whole numbers and integers whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers
Answer:
rational numbers and irrational numbers
Step-by-step explanation:
how many zeros are at the end of 51!-50!
what is -15/16÷7/12= k
Solve for k
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
k= −45/28
Decimal Form:
k=−1.60714285…
Mixed Number Form:
k= −1 17/28
so its the top one :)
BD bisects ABC if ABC=6x+58 find ABD
The measure of the angle ABD is (3x + 29)
What is Bisecting angles?Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.
When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.
Here we have
BD bisects ABC and ∠ABC = 6x+58
When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure
Here BD bisected ABC
The resultant angles will be ∠ABD and ∠DBC
Hence,
=> ∠ABC = ∠ABD + ∠DBC
=> ∠ABC = ∠ABD + ∠ABD [ Since two angles are equal
=> ∠ABC = 2∠ABD
From the given data,
=> 6x + 58 = 2∠ABD
=> 2 ∠ABD = 2(3x + 29)
=> ∠ABD = (3x + 29)
Therefore,
The measure of the angle ABD is (3x + 29)
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