Answer:
x = 60°
Step-by-step explanation:
See picture below. When two parallel lines are cut by a transversal there are some special relationships.
Answer:
x = 60°
Step-by-step explanation:
∠ ABO and ∠ CBO are a linear pair and sum to 180° , that is
∠ ABO + ∠ CBO = 180°
150° + ∠ CBO = 180° ( subtract 150° from both sides )
∠ CBO = 30°
∠ XYO and ∠ CBO are alternate angles and are congruent , so
∠ XYO = 30°
∠ XOY and ∠ COY are a linear pair and sum to 180° , then
∠ XOY + ∠ COY = 180°
∠ XOY + 90° = 180° ( subtract 90° from both sides )
∠ XOY = 90°
the sum of the 3 angles in Δ XOY = 180° , that is
x + 90° + 30° = 180°
x + 120° = 180° ( subtract 120° from both sides )
x = 60°
A lilly pond starts with 1 lilly pad and every day the amount doubles. how many lilly pads are in the pond after d days
After d days, the number of lily pads in the pond can be calculated using the formula 2^d. So, if d is the number of days, then the number of lily pads after d days would be 2^d.
Each day, the number of lily pads doubles. So, on the first day, there is 1 lily pad. On the second day, the number doubles to 2. On the third day, it doubles again to 4, and so on. This doubling pattern continues for d days.
To calculate the number of lily pads after d days, we raise 2 to the power of d (2^d). This is because each day, the number of lily pads doubles, which can be represented as 2^1, 2^2, 2^3, and so on. By substituting the value of d into the equation, we can find the number of lily pads after d days.
For example, if d = 5, then the number of lily pads after 5 days would be 2^5 = 32. This means that there would be 32 lily pads in the pond after 5 days.
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please i need an answer right now
Answer:
let the number of meals = m
Then price ,P = 75m dependent variable = P independent variables = m P = 75*12 =900m = 2000÷ 75 = max 26 mealsmark me as brainliest ❤️
Which planet is closest to the sun?
a. mars
b. neptune
c. mercury
The planet closest to the Sun is Mercury.
Among the options provided, the correct answer is c. Mercury. Mercury is the closest planet to the Sun in our solar system. It is located at an average distance of about 57.9 million kilometers (35.98 million miles) from the Sun.
Due to its proximity to the Sun, Mercury experiences extreme temperatures, with surface temperatures ranging from extremely hot during the day to extremely cold at night. It is the smallest planet in our solar system and completes its orbit around the Sun in approximately 88 Earth days. Its proximity to the Sun makes it difficult to observe from Earth, but various space missions have provided valuable insights into its composition and characteristics
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Estimate the square root to the nearest (a) integer and (b) tenth.
685−−−√
a. nearest integer:
b. nearest tenth:
a. The nearest integer estimate of \(\sqrt{685}\) is 27, and b. Nearest tenth estimate of\(\sqrt{685}\) is 26.2.
What is the quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
According to the given information:a. Nearest integer:
To estimate \($\sqrt{685}$\) to the nearest integer, we can find the two perfect squares that 685 lies between, which are 576 (the square of 24) and 729 (the square of 27). Since 685 is closer to 729 than to 576, we can estimate \($\sqrt{685}$\)to be 27.
b. Nearest tenth:
To estimate \($\sqrt{685}$\) to the nearest tenth, we can use a calculator or long division method to get an approximate decimal value of\($\sqrt{685}$\), which is about 26.1916017074. Rounding this to the nearest tenth gives us an estimate of \($\sqrt{685}$\)to be 26.2.
Therefore,a. The nearest integer estimate of\(\sqrt{685}\) is 27, and b. Nearest tenth estimate of \(\sqrt{685}\) is 26.2.
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3x^2+x^2-2
What is the polynomial??? Need help asap
Answer:
8x-2
Step-by-step explanation:
3x^2+x^2-2
=6x+2x-2
=8x-2
what is 40% written as a fraction in its simplest form
Answer:
2/5
Step-by-step explanation:
40%= 40/100 = 4/10 = 2/5
Answer:
2/5
Step-by-step explanation:
Simplest form:
\(\sf 40 \%= \dfrac{40}{100}=\dfrac{4}{10}=\dfrac{2}{5}\)
Mrs. Taylor bought 16⅓ yards of material. She used 5¾ yards. How much material does she have left? *
Answer:
10\frac{7}{12}
Step-by-step explanation:
First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.
Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.
Now you are left with \frac{4][12] and \frac{9}{12}.
Add those back to your numbers
16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}
a bag contains 7 yellow and n blue markers. two markers are selected at random, without replacement. the probability that both markers are yellow is 3 13 . how many blue markers are there in the bag?
There are 5 blue markers in the bag. Let's start by using the formula for calculating the probability of two independent events occurring together
P(A and B) = P(A) * P(B), where P(A) is the probability of event A occurring and P(B) is the probability of event B occurring. We know that the probability of selecting a yellow marker on the first draw is 7/ (7+n), since there are 7 yellow markers and a total of (7+n) markers. Since we are drawing without replacement, there will be n-1 blue markers left for the second draw out of a total of (6+n) markers. Therefore, the probability of drawing a second yellow marker is 6 / (6+n-1) or 6 / (5+n).
Multiplying these two probabilities gives us the probability of drawing two yellow markers: (7 / (7+n)) * (6 / (5+n)) = 3/13
Simplifying this equation, we get:
42 = 3(35 + n)
Solving for n, we get:
n = 5
Therefore, there are 5 blue markers in the bag.
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Which of the following comics represents a circle?
Answer:
B. x² + y² - 4x +8y +11 = 0
Step-by-step explanation:
B. is the only one that represents a circle. Option A forms an oval, option C forms an X, and option D forms a regular function.
hope this helps!
what is
Which expression is equivalent to 9y – 3y?
3
3
3y
3y
6
6
6y please help
Answer:
9y-3y=6y is equivalent to 9y – 3y.
Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
geometry! lmk if you can help
4) ∠9 and ∠16 - C - Alternative Exterior Angles
5) ∠3 and ∠5 - D - Consecutive Interior Angles
6) ∠7 and ∠15 - F - No relationship
7) ∠1 and ∠ 10 - F - No Relationship
8) ∠2 and ∠11 - F - No relationship
9) The transversal that connects ∠6 and ∠13 is S
What is a transversal?A transversal is a line in geometry that connects two lines in the same plane at two separate places. Transversals help determine if two or more lines in the Euclidean plane are parallel.
When a transversal connects two parallel lines, the corresponding angles are equal.
If a transversal connects two lines with equal matching angles, the two lines are parallel to one other.
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Which of the following segments is a diameter of O?
Answer:
AB
Step-by-step explanation:
The diameter has to pass through the center of the circle and tough the outside of the circle on both ends
The diameters are
DE and AB
They can also be written as
ED and BA
Answer:
option A : AB
Step-by-step explanation:
The diameter is the length of the line through the center that touches two points on the edge of the circle.
Both AB and DE are diameters.
Therefore, Option A : AB
Find the measures of two angles, one positive and one negative, that are coterminal with the given angle
-208°
Answer:
Find the acute angle in the first quadrant used as a reference for
−
208
°
.
28
°
Step-by-step explanation:
1. Suppose you are taking a school bus that gets7 miles per gallon. If you will be driving 154 miles,how many gallons of gas will you need ?
22 gallons
1) In this question, we need to assume that the number of gallons of gas per mile is constant.
2) Thus, we can write out the following proportion:
\(\begin{gathered} 1-----7miles \\ g------154 \\ \frac{1}{g}=\frac{7}{154} \\ 7g=154 \\ \frac{7g}{7}=\frac{154}{7} \\ g=22 \end{gathered}\)So, we can state that I will need 22 gallons of gas to make 154 miles.
The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29.5 years, what is its distance from the sun?
Answer:
9.54731702 astronomical units
Step-by-step explanation:
\(P=a^{\frac{3}{2} }\)
Substitute this value in the equation above:
\(29.5=a^{\frac{3}{2} }\)
⇒ \((29.5)^{\frac{3}{2} } =a\)
⇒ \(a=9.54731702\) \(astronomical\) \(units\)
Hence, its distance from the sun is 9.54731702 astronomical units.
Answer:
its a
Step-by-step explanation:
on edge 2022
y=4.5x+7.5y=−3.5x−4.5Use substitution to solve the system of questionsA. X=-1.5,y=-0.75B. X=1.5,y=0.75C. X=1.5,y=-0.75D. X=-1.5,y=0.75
To solve the system of equations using substitution we replace the value of y from the first equation into the second equation to find the value of x.
\(4.5x+7.5=-3.5x-4.5\)solve the equation for x
\(\begin{gathered} 4.5x+3.5x=-4.5-7.5 \\ 8x=-12 \\ x=-\frac{12}{8} \\ x=-1.5 \end{gathered}\)using the value of x in either equation find the value of y
\(\begin{gathered} y=4.5(-1.5)+7.5 \\ y=-6.75+7.5 \\ y=0.75 \end{gathered}\)The solution for the system of equations is:
X= -1,5
y= 0.75
What is the approximate volume of the cylinder? Use 3.14 for it.
Answer:
226.08 cm^3 since volume
Step-by-step explanation:
Answer:
452.39
Step-by-step explanation:
The formula for volume is V=πr2h so you would add your numbers in and multiply (V=πr2h=π·42·9≈452.38934)
eight identical machines produce the same parts at the same rate. the 8 machines complete the required number of parts in 6.5 hours. how many hours does is take 12 machines to produce the same number of parts?
It becomes
\($$\begin{aligned}5: 8: & 6.5: x \\5 \times x & =8 \times 6.5 \\x & =\frac{8 \times 6.5}{5} \\x & =\frac{52}{5} \\x & =10.4\end{aligned}$$\)
Therefore,
5 machines will take $10.4$ hour to produce the same number of parts.
What is equal rate?Equivalent interest rates are interest rates that produce the same future value after one year. For example, 10% compounded quarterly and 10.125% compounded semiannually are equivalent nominal interest rates. If you calculate the future value of $100 invested at either rate for one year, you will obtain $110.38.
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ASAP PLEAAASE 100 POINTS
Divide x5+15x4+54x3−25x2−75x−34
by x+8
.
You must show all of your work to receive credit.
Answer:
The quotient is x^4 - 2x^3 - 9x^2 - 3x with a remainder of -34.
Step-by-step explanation:
To divide the polynomial x^5 + 15x^4 + 54x^3 - 25x^2 - 75x - 34 by x + 8 using long division, we can follow these steps:
_______________________
x + 8 | x^5 + 15x^4 + 54x^3 - 25x^2 - 75x - 34
Step 1: Divide the first term of the dividend (x^5) by the first term of the divisor (x), which gives x^4. Write this as the first term of the quotient above the line.
x^4
x + 8 | x^5 + 15x^4 + 54x^3 - 25x^2 - 75x - 34
Step 2: Multiply the divisor (x + 8) by the quotient term (x^4). Write the result below the dividend, and subtract it from the dividend.
x^4
x + 8 | x^5 + 15x^4 + 54x^3 - 25x^2 - 75x - 34
- (x^5 + 8x^4)
_______________________
7x^4 + 54x^3 - 25x^2 - 75x
Step 3: Bring down the next term of the dividend, which is 54x^3. Now we have a new dividend.
x^4
x + 8 | x^5 + 15x^4 + 54x^3 - 25x^2 - 75x - 34
- (x^5 + 8x^4)
_______________________
7x^4 + 54x^3 - 25x^2 - 75x
- (7x^4 + 56x^3)
_______________________
-2x^3 - 25x^2 - 75x
Step 4: Divide the new first term of the dividend (-2x^3) by the first term of the divisor (x), which gives -2x^2. Write this as the next term of the quotient above the line.
x^4 - 2x^3
x + 8 | x^5 + 15x^4 + 54x^3 - 25x^2 - 75x - 34
- (x^5 + 8x^4)
_______________________
7x^4 + 54x^3 - 25x^2 - 75x
- (7x^4 + 56x^3)
_______________________
-2x^3 - 25x^2 - 75x
Step 5: Multiply the divisor (x + 8) by the new quotient term (-2x^3). Write the result below the previous difference, and subtract it from the previous difference.
x^4 - 2x^3
x + 8 | x^5 + 15x^4 + 54x^3 - 25x^2 - 75x - 34
- (x^5 + 8x^4)
_______________________
7x^4 + 54x^3 - 25x^2 - 75x
- (7x^4 + 56x^3)
_______________________
-2x^3 - 25x^2 - 75x
- (-2x^3 - 16x^2)
_______________________
-9x^2 - 75x
Step 6: Bring down the next term of the dividend, which is -34. Now we have a new dividend.
x^4 - 2x^3
x + 8 | x^5 + 15x^4 + 54x^3 - 25x^2 - 75x - 34
- (x^5 + 8x^4)
_______________________
7x^4 + 54x^3 - 25x^2 - 75x
- (7x^4 + 56x^3)
_______________________
-2x^3 - 25x^2 - 75x
- (-2x^3 - 16x^2)
_______________________
-9x^2 - 75x
- (-9x^2 - 72x)
_______________________
-3x - 34
Step 7: The division is complete. The final result is -3x - 34.
Therefore, the quotient is x^4 - 2x^3 - 9x^2 - 3x with a remainder of -34.
Marking brainles!!!!
Answer:
C. 4 ft x 6 ft
Step-by-step explanation:
May I have brainliest please? :)
If 0.5cm = 6 inches you can just double the number you have then multiply that by 6
4cm = 48cm which is 1.5748 feet
6cm =
Answer:
D
Step-by-step explanation:
0.5cm - 6ft
1cm=12ft
2cm= 24
3cm= 36
4cm = 48
5cm= 60
6cm = 72
48 divided by 6 is 8
72 divided by 6 is 12
How to Round 235.48634 to the thousandths place.
Answer:
the answer is 235.486
Step-by-step explanation:
we round down
Answer:
1,257,000 should be correct
ps THIS IS FOR YOUR NEWEST QUESTION IT WILL NOT LET ME ANSWER
Consider the following problem. Minimize Z=2x1+3x2+x3,
subject to x1+4x2+2x3 ≥8
3x1+2x2 ≥6 and x1≥0, x2≥0, x3≥0. Introduce artificial variables to reformulate this problem as a convenient artificial problem for preparing to apply the simplex method.
The reformulated problem becomes minimize Z = 2x1 + 3x2 + x3 + M1 + M2 + M3, subject to - x1 + 4x2 + 2x3 - M1 + A1 = 8, 3x1 + 2x2 - M2 + A2 = 6, x1, x2, x3, M1, M2, M3, A1, A2 ≥ 0, where M1, M2, and M3 are the artificial variables associated with each constraint, and A1 and A2 are the artificial variables for the artificial objective function.
To convert the given problem into a convenient artificial problem for the simplex method, we introduce artificial variables. The objective function remains the same, Minimize Z = 2x1 + 3x2 + x3.
For each constraint, we subtract an artificial variable (M) to represent a surplus or excess value and add an artificial variable (A) to the left-hand side to form equality.
The first constraint becomes x1 + 4x2 + 2x3 - M1 + A1 = 8. Here, M1 serves as an artificial variable representing the surplus or excess of the constraint.
The second constraint becomes 3x1 + 2x2 - M2 + A2 = 6, with M2 as the artificial variable.
Additionally, we introduce artificial variables M3, A1, and A2 in the objective function to track the artificial problem's feasibility.
All variables, including the artificial variables, are non-negative (x1, x2, x3, M1, M2, M3, A1, A2 ≥ 0).
By introducing artificial variables, we can transform the original problem into a form that can be solved using the simplex method, allowing us to determine the feasibility and optimal solution.
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Guys I really need help on this. Would yall help me find x?
A group of Metropolis Middle School students volunteered to build a new city playground. A local pizzeria donated 20 large pizzas for their lunch. The volunteers shared the pizza equally.
Complete the following table to show how the amount of pizza for each
volunteer depends on the number of volunteers.
Number of Volunteers
1
2
5
10
20
40
Number of Pizzas per Volunteer
20
10
?
?
?
?
Answer:
so so sorry if this anwser is wrong hope this helps
Step-by-step explanation:
number of vounteers number of pzzia per volunteer
1 20
2 10
5 0
10 -10
20 -20
40 -40
Can you explain how to solve this problem?
(Please write in neat text to read clearly)
7.21 The number of customers, K, that shop at the neighborhood store in a day has the PMF Pk (k) ke k=0,1,2,... k! Independently of K, the number of items N that each customer purchases has the PMF n=
Once I have the PMF for N, I can explain how to use these PMFs to calculate various probabilities or expected values related to the number of customers and items purchased at the neighborhood store.
Let's break down the problem step by step.
The problem states that the number of customers, K, that shop at the neighborhood store in a day follows a probability mass function (PMF) given by Pk(k) = ke^(-k!) for k = 0, 1, 2, ...
We are also given that the number of items, N, that each customer purchases has its own PMF, which is not specified in your question. To solve the problem completely, we need the PMF for N as well. Please provide the PMF for N so that I can proceed with the solution.
Once I have the PMF for N, I can explain how to use these PMFs to calculate various probabilities or expected values related to the number of customers and items purchased at the neighborhood store.
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for each value of w, determine whether it is a solution to w -39 =10 w = 46 w = 65 w=53 w=50
Answer:
w = 49
Step-by-step explanation:
w - 39 = 10
=> w = 10 + 39
=> w = 49
select all that applywith weighted moving averages, how are the weights selected?multiple select question.trial and errorfitting to a regression lineguessingexperience
The weights in a weighted moving average are selected by: Trial and error, Fitting to a regression line, Guessing, Experience.
The methods for selecting weights in weighted moving averages are trial and error, fitting to a regression line, and experience.
When selecting weights for weighted moving averages, the following methods can be used:
Trial and error:
Testing different weight combinations to find the best fit for the data.
Fitting to a regression line:
Analyzing the relationship between the data points and assigning weights accordingly.
Experience:
Using prior knowledge and understanding of the data or similar situations to determine appropriate weights.
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Trial and error fitting, fitting to a regression line, and experience are the methods that can be used to select weights in a weighted moving average.
With weighted moving averages, the weights can be selected using various methods. Here are the applicable methods from your given options:
1. Trial and error fitting: Weights can be selected by testing different combinations of weights and observing their impact on the accuracy of the model.
2. Fitting to a regression line: Weights can be determined by fitting a regression line to the data and using the coefficients of the regression line as the weights.
3. Experience: Domain knowledge or past experience with similar data can help in selecting appropriate weights.
In summary, trial and error fitting, fitting to a regression line, and experience are the methods that can be used to select weights in a weighted moving average.
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Hello will you help me with this?
Answer:
A. 432=18x
B. 22-see explanation
C. 24
D. See if your rounded answer and the actual answer are close.
Step-by-step explanation:
A. He buys a new phone for $432, and pays each month. We will use the variable x, and "x" will represent how many months he pays. It says that he pays $18 per month, so the equation would be 432=18x.
B. We need to isolate x, and to do this we have to divide 432 by 18. To approximate this answer, round 432 to 440 and 18 to 20. Now, divide 440 by 20. We get 22, so this will be the estimation.
C. Divide 432 by 18. We get 24.
E. You can see if it is reasonable if they are close in value.
how many numbers consisting of 1,2, or 3 digits(without repitions)can be formed using the digits 1,2,3,4,5,6?
Therefore, there are 156 numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.
We need to find the number of numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.
1-digit numbers: There are 6 choices for the first digit.
2-digit numbers: There are 6 choices for the first digit, and 5 choices for the second digit (since we cannot repeat the first digit).
3-digit numbers: There are 6 choices for the first digit, 5 choices for the second digit (since we cannot repeat the first digit), and 4 choices for the third digit (since we cannot repeat the first or second digit).
Therefore, the total number of numbers that can be formed is:
1-digit numbers: 6
2-digit numbers: 6 x 5 = 30
3-digit numbers: 6 x 5 x 4 = 120
The total number of numbers is the sum of these:
6 + 30 + 120 = 156
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