Answer: B
Step-by-step explanation:
x²+4x-3x-12 group pairs of term
-3 4/7 divide -1 1/14
Answer:
hgktjeghuegkekhghkegkhetgkhekhjhkjeg
Step-by-step explanation:
which decimal is greater 0.36 or 0.49
Answer:
0.49
Step-by-step explanation:
Answer:
0.49
Step-by-step explanation:
A gym's membership in 2012 was 9,300. The current membership is 2,800. Which expression can be used to find the percent of change? WHAT EXPRESSION NOT WHAT THE PERCENT IT.
The expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\) 100.
To find the percent of change between the gym's membership in 2012 and the current membership, we can use the following expression:
Percent of change = ((Current Value - Initial Value) / Initial Value) \(\times\) 100
In this case, the initial value is 9,300 (membership in 2012), and the current value is 2,800 (current membership).
Substituting these values into the expression, we get:
Percent of change = ((2,800 - 9,300) / 9,300) \(\times\)100
Simplifying the expression further, we have:
Percent of change = (-6,500 / 9,300) \(\times\) 100
Therefore, the expression that can be used to find the percent of change between the gym's membership in 2012 and the current membership is ((Current Value - Initial Value) / Initial Value) \(\times\)100. This formula calculates the relative difference between the initial and current values and expresses it as a percentage.
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A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 55 75 Type B 48 22 Compare P(Male | Type A) with P(Male or Type A).
suppose there is a lottery where they pick three balls out of an urn. the balls in the urn have 10 balls in it numbered from 1-10. how many possibilities are there?
The number of possibilities in a lottery where they pick three balls out of an urn with 10 balls numbered 1 to 10 is calculated using the concept of combinations. A combination is a way to select items from a larger set, where the order of the items doesn't matter.
In this case, the total number of items in the set is 10, and we need to select 3 items. The formula for the number of combinations of "n" items taken "k" at a time is given by:
C(n, k) = n! / (k! (n-k)!)
Where "n!" means "n factorial," which is the product of all positive integers up to n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Using this formula, we can calculate the number of combinations of 3 items taken from a set of 10:
C(10, 3) = 10! / (3! (10-3)!) = 10! / (3! 7!) = (10 x 9 x 8) / (3 x 2 x 1) = 120
So, there are 120 possible combinations of 3 balls that can be selected from an urn with 10 balls numbered 1 to 10. This means that there are 120 different ways that the three balls could be drawn, and each one is equally likely.
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Write a cosine function that has a midline of 2, an amplitude of 4 and a period of 4/3
The cosine function with a midline of 2, an amplitude of 4, and a period of 4/3 can be written as y = 4cos((3π/2)(x - 1)) + 2.
The midline of a cosine function is the horizontal line that represents the average value of the function. In this case, the midline is y = 2, which means the cosine function oscillates above and below this line.
The amplitude of the cosine function determines the maximum distance it reaches from the midline. Here, the amplitude is 4, which means the cosine function will have a maximum value of 2 + 4 = 6 and a minimum value of 2 - 4 = -2.
The period of a cosine function is the distance between two consecutive peaks or troughs. In this case, the period is 4/3, which means the cosine function completes one full cycle within this interval.
The equation y = 4cos((3π/2)(x - 1)) + 2 combines these characteristics to create a cosine function that oscillates between a maximum of 6 and a minimum of -2, with a midline at y = 2, and completes one cycle within a period of 4/3.
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In the figure, a∥b and m∠3 = 34°.
What is the m∠7?
Enter your answer in the box. |__|
Therefore, In the figure, a∥b angle m∠7 = 34° .
What is angle ?An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.
Here,
Given that a and b are parallel lines,
∠3 and ∠7 are corresponding angles and congruent
m∠3 = 34°
thus ,m∠7 =m∠3 = 34°
so, m∠7 = 34°
Therefore, In the figure, a∥b m∠7 = 34° .
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A) A jar on your desk contains fourteen black, eight red, eleven yellow, and four green jellybeans. You pick a jellybean without looking. Find the odds of picking a black jellybean. B) A jar on your desk contains ten black, eight red, twelve yellow, and five green jellybeans. You pick a jellybean without looking. Find the odds of picking a green jellybean.
A) The odds of picking a black jellybean are 14/37.
Step-by-step explanation:
The jar contains fourteen black, eight red, eleven yellow, and four green jellybeans.
Therefore, the Total number of jellybeans in the jar = 14+8+11+4=37
Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of black jellybeans.
Therefore, the number of black jellybeans = 14
Now, the number of unfavorable outcomes is the number of jellybeans that are not black.
Therefore, the number of unfavorable outcomes = 37-14=23
Hence, the odds of picking a black jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.
Odds of picking a black jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=14/37
Answer: Odds of picking a black jellybean are 14/37.
B) The odds of picking a green jellybean are 5/35.
Step-by-step explanation:
The jar contains ten black, eight red, twelve yellow, and five green jellybeans.
Therefore, the Total number of jellybeans in the jar = 10+8+12+5=35
Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of green jellybeans.
Therefore, the number of green jellybeans = 5Now, the number of unfavorable outcomes is the number of jellybeans that are not green.
Therefore, the number of unfavorable outcomes = 35-5=30
Hence, the odds of picking a green jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.
Odds of picking a green jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=5/30
Reducing the ratio to the simplest form, we get the odds of picking a green jellybean = 1/6
Hence, the odds of picking a green jellybean are 5/35.
Answer: Odds of picking a green jellybean are 5/35.
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if x= (4/5)^-2 divided by (1/4)^2,find the value of x^-1
Answer:
\(\displaystyle x^{-1}=\frac{1}{25}\)
Step-by-step explanation:
We are given the value of x:
\(x= (4/5)^{-2}\) divided by \((1/4)^2\)
We need to find the reciprocal of x or:
\(\displaystyle x^{-1}=\frac{1}{x}=\frac{\frac{1}{4}^2}{\frac{4}{5}^{-2}}\)
Operating:
\(\displaystyle x^{-1}=\frac{1}{4}^2*\frac{5}{4}^{-2}\)
\(\displaystyle x^{-1}=\frac{1}{16}*\frac{16}{25}\)
\(\mathbf{\displaystyle x^{-1}=\frac{1}{25}}\)
Ali’s soccer practice begins at 8:05 a.m. It takes him 25 minutes to get to practice.
Which clock shows the time Ali should leave his house to get to practice on time?
The time that Ali should leave his house to get to practice on time is 7:40 am.
How to calculate the time?Fron the information given, it was stated that Ali’s soccer practice begins at 8:05 a.m and that it takes him 25 minutes to get to practice.
In this case, it should be noted that the time that he will leave the house will be the minutes subtracted from 8:05.
This will be illustrated thus:
= 8:05 a.m - 25 minutes
= 7:40am
Therefore, Ali should leave at 7:40 am.
Note that the clock wasn't given by you but the appropriate time is calculated.
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eight pounds of potatoes is 16 dollars. how much for 5 punds
Answer: that equals to 1.6
Step-by-step explanation:
Find the area of this triangle..
Answer:
39.936 ( not rounded )
Step-by-step explanation:
Use Pythagorean theorem
a^2 + 6.4^2 = 9^2
height = 6.24 (rounded to nearest hundredth)
1/2 * base * height = area
1/2 * 12.8 * 6.24
= 39.936 ( not rounded )
In triangle ABC, m∠B = (12x − 26)° and the measure of the exterior angle to ∠B is (7x − 22)°. Find m∠B.
If the value of the variable 'x' is 12. Then the measure of the angle ∠B will be 118°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
In triangle ΔABC, ∠B = (12x − 26)°, and the measure of the exterior angle to ∠B is (7x − 22)°.
The sum of the interior and exterior angles will be 180°. Then the equation is given as,
(12x − 26)° + (7x − 22)° = 180°
12x - 26 + 7x - 22 = 180
19x - 48 = 180
19x = 228
x = 12
Then the measure of the angle ∠B will be given as,
∠B = 12 (12) - 26
∠B = 144 - 26
∠B = 118°
If the value of the variable 'x' is 12. Then the measure of the angle ∠B will be 118°.
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Answer:
118
Step-by-step explanation:
(12x - 26)
12x - 26 + 7x - 22 = 180
12x + 7x + 26 - 22 = 180 (add 26 and 22 together)
19 - 48
180 + 48
228/19 = 12
(12x(12) - 26)
12 x 12 = 144 - 26 = 118
118 is your answer deer (lol corny joke)
Find the coordinate vector of w relative to the basis S = (u₁, u₂) for R2. Let u₁=(4,-3), u₂ = (2,6), w = (1,1). (w)s= (?, ?) =
The coordinate vector of w relative to the basis S = {(4,-3), (2,6)} for R² is (6/33, -2/33).Thus, the answer to the given problem is:\([w]s\) = (6/33, -2/33).
To find the coordinate vector of w relative to the basis S = {u₁, u₂} for R², use the following formula:\([w]s\)= \(([w]b)\) . (B₂)⁻¹
where B is the matrix of the given basis (S), and \([w]b\) is the coordinate vector of w relative to the standard basis.
The first step is to find the inverse of matrix B₂. Here are the steps to find the inverse of matrix B₂:
B₂ = [u₁ u₂]
= ⎡⎣4 2 -3 6⎤⎦ Invertible if det(B₂) ≠ 0
⎡⎣4 2 -3 6⎤⎦ → det(B₂)
= (4)(6) - (2)(-3)
= 33
≠ 0.
Therefore, B₂ is invertible. The inverse of matrix B₂ is given by: B₂⁻¹ = 1/33 ⎡⎣6 -2 3 4⎤⎦
Now, let's find the coordinate vector of w relative to the standard basis. We know that w = (1,1) and the standard basis is
B₁ = {(1,0), (0,1)}.
Therefore,\([w]b\) = [1 1]T.
The coordinate vector of w relative to the basis S is then:
[w]s = \(([w]b)\).
(B₂)⁻¹\([w]s\) = ⎡⎣1 1⎤⎦ . 1/33 ⎡⎣6 -2 3 4⎤⎦
= 1/33 ⎡⎣6 -2⎤⎦
= (6/33, -2/33).
Therefore, the coordinate vector of w relative to the basis S = {(4,-3), (2,6)} for R² is (6/33, -2/33).
Thus, the answer to the given problem is:\([w]s\) = (6/33, -2/33).
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A triangle has sides of lengths 12, 14, and 19. Is it a right triangle?
Answer:
a^2 + b^2 = c^2
C should equal to the longer side, which would be 19.
Plug in other two numbers for A and B.
12^2 + 14^2 = 19^2
Now see if it's correct. If it is, then it's a right triangle, if it's not then it isn't a right triangle.
144 + 196 = 361
340 = 361
It's not a right triangle.
Step-by-step explanation:
Because I know it. Can You mark me as a brainliest?
A student's four test grades are stored in cells a10, b10, c10, and d10. which excel statement will calculate the test average of these 4 grades?
The excel statement to estimate the test average of these 4 grades is -
Click a cell just below column or on the right of the row containing the numbers you want to average.Click the arrow next to AutoSum > Average on the HOME tab, then press Enter.What is termed as average function?An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.
Assume we have the following sequence of numbers: 1, 2, 3, 4, 1, 2, and 3. The sum of the these numbers is 16, and the number of numbers divided by 7 is 2.28. As a result, the average of the these numbers is 2.28.In Microsoft Excel, how do you find the average?The average of multiple cells in Microsoft Excel and other spreadsheets can be calculated using the appropriate formula. The formula in the following example calculates the average of the values found in cells A1 through F1 of the first column : =AVERAGE(A1:F1)You would use the same row but modify the cells to cells in a row to calculate the average of cells in one row. For instance, the formula recognizes the average value in cells A1 via A20 when placed in cell A21. =AVERAGE(A1:A20)To know more about the Microsoft Excel, here
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f(x, m, s) = 1 √278² exp (-2/2 (x-m) ²) 28² Write a function in the form of gauss(x, m=0, s=1) for computing the Gaussian density. Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. Give the name of question5b (c) x-0, m-2, s-1. Give the name of question5e (d) x=0, m=2, s=2. Give the name of question5d (e) x=3, m-3, s-3.
Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.
To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.
First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:
Principal = $1,000
Rate of interest per period = 8% / 4 = 2% per quarter
Number of periods = 12 quarters
Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^12
≈ $1,166.41
Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):
Principal = $1,000
Rate of interest per period = 2% per quarter
Number of periods = 8 quarters
Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)
= $1,000 * (1 + 0.02)^8
≈ $1,165.16
Finally, we add the two values to find the total value of the account on January 1, 2021:
Total value = Value after three years + Value after two years
≈ $1,166.41 + $1,165.16
≈ $2,331.57
Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.
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A monopoly player claims that the probability of getting a when rolling a six-sided die is because the die is equally likely to land on any of the six sides. Is this an example of a theoretical probability or an empirical probability? explain.
It is an illustration of theoretical probability.
Theoretical probability establishes the probability of certain events occurring.
The ratio of the entire number of conceivable possibilities to the intended outcome is known as theoretical probability.
In this case, the intended consequence is earning a 2, which is only one of the six potential possibilities. The possibility of receiving a 2 is.
Observance determines empirical probability. Nothing about the observing of the specified episode is indicated in the question, hence it is not an empirical probability.
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How many pivot columns must A have if its columns span R5? Why? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The matrix must have pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have only the trivial solution. B. The matrix must have pivot columns. The statements "A has a pivot position in every row" and "the columns of A span R5" are logically equivalent. C. The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. D. The columns of a 5x7 matrix cannot span R5 because having more columns than rows makes the columns of the matrix dependent.
The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.
A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.
The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.
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Please do it with step by step explanation it will help me so much thanks!
Carolyn is searching online for tickets to a concert. Two weeks ago, the cost was $30. Now the cost is $39.
a. What is the percent increase?
b. What would be the percent increase if the ticket agent charges an additional $4.50 fee with the new ticket price?
Answer:
A) The percent increase is by 30%.
B) for the original price = 15%.
B2.0) for the existing price (39) = approximately 11.54%.
Step-by-step explanation:
A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.
B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).
The midpoint of EF is (-6, 1). One endpoint is E(-9, 7). Find the coordinates of endpoint F.
Answer:
Step-by-step explanation:
here is an solution :
Answer:
Its (-3,-5)
Step-by-step explanation:
Hope This Helps:))
Diego is solving the equation x^2-12x = 21
Answer:
The solutions to the quadratic equations will be:
\(x=\sqrt{57}+6,\:x=-\sqrt{57}+6\)
Step-by-step explanation:
Given the expression
\(x^2-12x\:=\:21\)
Let us solve the equation by completing the square
\(x^2-12x\:=\:21\)
Add (-6)² to both sides
\(x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2\)
simplify
\(x^2-12x+\left(-6\right)^2=57\)
Apply perfect square formula: (a-b)² = a²-2ab+b²
i.e.
\(x^2-12x+\left(-6\right)^2=\left(x-6\right)^2\)
so the expression becomes
\(\left(x-6\right)^2=57\)
\(\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\)
solve
\(x-6=\sqrt{57}\)
add 6 to both sides
\(x-6+6=\sqrt{57}+6\)
Simplify
\(x=\sqrt{57}+6\)
also solving
\(x-6=-\sqrt{57}\)
add 6 to both sides
\(x-6+6=-\sqrt{57}+6\)
Simplify
\(x=-\sqrt{57}+6\)
Therefore, the solutions to the quadratic equation will be:
\(x=\sqrt{57}+6,\:x=-\sqrt{57}+6\)
Can anyone write the quadratic of the equation in factored form?
The factored form of the quadratic equation is given as follows:
y = 3(x + 0.6667)(x - 6).
How to obtain the factored form of the quadratic equation?The quadratic equation for this problem is defined as follows:
3x² - 16x - 7 = 5.
3x² - 16x - 12 = 0.
The coefficients are given as follows:
a = 3, b = -16, c = -12.
Hence the discriminant is of:
D = (-16)² - 4(3)(-12)
D = 400.
Then the roots are of:
x = (16 - sqrt(400))/6 = -0.6667.x = (16 + sqrt(400))/6 = 6.Considering the leading coefficient of 3 and the roots, the factored form of the equation is given as follows:
y = 3(x + 0.6667)(x - 6).
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A concession stand sells smoothies. At the end of the day they had sold 14 strawberry,
18 banana, 8 grape, and 6 orange. Tell which ratio is greater, strawberry to orange or
banana to grape.
A. Banana to grape
B. Strawberry to orange
Answer:
A. Banana to grape this should be right
Shondra was unsure about what career to go into. Her high school counselor suggested a personal assessment to point out Shondra’s interests. The assessment revealed that Shondra is very passionate about justice and making sure that people stay safe and treat each other fairly. Shondra also enjoys physical fitness and can handle risky high-pressure situations well.
Shondra would be well suited for which career cluster. Select three options.
Answer:
lawer, Police officer criminal justice
Help me with this part
Answer:
-7, -1
This should be correct
find dy/dx. x = t sin(t), y = t2 + 8t
find dy/dx
x= t sin(t); (Given in the question)
y= t²+8t; (Given in the question)
then, x= t sin(t)
dx/dt = sin t + t cos t ;
y= t²+8t
dy/dt = 2t + 8;
then, dy/dx = dy/dt x dx/dt
dy/dx = (2t+8)/(sin t + t cos t)
dy/dx = 2(t+4)/(sin t + t cos t)
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Vector V 1 is 6.9 units long and points along the negative xxx axis. Vector V 2 is 8.1 units long and points at 30 degrees to the positive x axis.
1. What are the x and y components of vector V1?
Express your answers using two significant figures. Enter your answers numerically separated by a comma.
2. What are the x and y components of vector V2?
Express your answers using two significant figures. Enter your answers numerically separated by a comma.
3. Determine the magnitude of the sum V1+V 2
Express your answer using two significant figures.
4. Determine the angle of the sum V1+V 2
Express your answer using two significant figures.
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Name the angle pair and find the measure of each angle indicated. PLEASE HELP
Answer:
119 degrees
Step-by-step explanation:
The angles are vertical, which means they have the same measurement.
"Vertical Angles are the angles opposite each other when two lines cross. Vertical, in this case, means they share the same Vertex"