One angle of an isosceles triangle measures 68°. What measures are possible for the other two angles? Choose all that apply

The expression x²y - 2xy - 24y can be factored by first factoring out a common factor of y, After the common factor is removed, the remaining factors are,  (x - 6) & (x - 4)

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression  x²y - 2xy - 24y

Now taking common factor y from all the terms,

⇒ y(x² - 2x - 24)

Now considering another factor (x² - 2x - 24)

⇒ (x² - 2x - 24)

⇒ x² - 6x + 4x -24

⇒ x(x - 6) + 4(x - 6)

⇒ (x - 6)(x - 4)

Hence, rest two factors are  (x - 6) & (x - 4)

To know more about Expressions check:

brainly.com/question/16804733

#SPJ1

Answer:

trinomial that is not a perfect square

Step-by-step explanation:

edgeeeeeeeeeeeeee

The value of Ackermann's function A(3,3) is 29. Ackermann's function is defined recursively and is known for growing rapidly. It evaluates the relationship between two non-negative integers, m and n.

In the given definition, if m is 0, the result is 2 raised to the power of n. If m is greater than or equal to 1 and n is 0, the result is 0. Lastly, if both m and n are greater than or equal to 1, the function recursively calls itself with modified parameters. The calculation involves multiple iterations until a base case is reached.

To find the value of A(3,3), we need to follow the recursive definition of Ackermann's function. Given that both m and n are greater than or equal to 1, we use the third case of the definition: A(m – 1, A(m, n – 1)).

First, we calculate A(3, 2) using the same logic. Again, we apply the third case with m = 3 and n = 2. This leads us to calculate A(2, A(3, 1)).

Next, we compute A(3, 1) using the second case, which gives us 2. Substituting this value, we have A(2, 2).

Continuing in a similar manner, we compute A(2, 1) using the second case, which yields 0. Substituting this value, we have A(1, 0).

Again, applying the second case, we find that A(1, 0) equals 0. Substituting this value, we have A(0, A(1, -1)).

Finally, we apply the first case, which states that A(0, n) is equal to 2 raised to the power of n. Thus, we have A(0, 0) = 2^0 = 1.

Now, we can substitute the values backward. A(1, 0) is 0, A(2, 1) is 0, A(2, 2) is 0, A(3, 1) is 2, and A(3, 2) is 0.

Finally, we can substitute the values into the initial expression A(3, 3). Since m = 3 and n = 3, we use the third case: A(2, A(3, 2)). Substituting the values, we have A(2, 0) = 0.

Therefore, the value of A(3,3) is 29. The calculation involves multiple recursive steps, and the function grows rapidly, illustrating the complexity and exponential nature of Ackermann's function.

To learn more about Ackermann's function: -brainly.com/question/32312104

#SPJ11

Answer:

A = 6.4

Step-by-step explanation:

A - 5.36 = 1.04

    +5.36   +5.36

A = 6.4

Answer:

51t^3

Step-by-step explanation:

64+3=67

67 +(-16)=51

t^2 +t= t^3

now you just add them up but they cant be combined because one is a number and the other a variable w an exponent so we just get 51t^3

Therefore, the inverse Laplace transform of \(L{s^2 + s - 7}/{(s + 2)(s - 1)}\) is: \(L^-1{s^2 + s - 7}/{(s + 2)(s - 1)} = 3e^{(-2t)} - 2e^t.\)

To find the inverse Laplace transform of the function\(L{s^2 + s - 7}/{(s + 2)(s - 1)\)}, we can apply partial fraction decomposition. The function can be written as follows:

\(L{s^2 + s - 7}/{(s + 2)(s - 1)} = A/(s + 2) + B/(s - 1)\)

To find the constants A and B, we need to equate the numerators and solve for A and B:

\(s^2 + s - 7 = A(s - 1) + B(s + 2)\)

Expanding the right side:

\(s^2 + s - 7 = (A + B)s + (2B - A)\)

By comparing the coefficients of like terms on both sides of the equation, we get:

A + B = 1 (coefficient of s)

2B - A = -7 (constant term)

Solving these equations, we find A = 3 and B = -2.

Now, we can rewrite the function as:

\(L{s^2 + s - 7}/{(s + 2)(s - 1)} = 3/(s + 2) - 2/(s - 1)\)

The inverse Laplace transform of each term can be calculated using the Laplace transform table:

\(L^{-1}{3/(s + 2)} = 3e^{(-2t)}\)

\(L^{-1}{-2/(s - 1)} = -2e^t\)

To know more about inverse Laplace transform,

https://brainly.com/question/30404106

#SPJ11

The probability that a class of 50 has an average midterm mark that is less than 75 is value=0

Average is the mathematics mean, and is calculated by means of adding a group of numbers and then dividing with the aid of the count of these numbers. for instance, the average of 2, three, three, five, 7, and 10 is 30 divided with the aid of 6, that is five.

The common is described as the implied value that is identical to the ratio of the sum of the number of a given set of values to the whole wide variety of values gift within the set.

There are three primary sorts of common: imply, median, and mode. each of those techniques works slightly differently and frequency effects in barely specific regular values. The suggestion is the maximum normally used average. To get the suggested fee, you add up all of the values and divide this total by using the number of values.

The probability that a class of 50 has an average midterm mark that is less than 75

n = 50

P(<75)=P(Z<75)

P(Z<75−786√50)

P(Z<−3.5355)

We will look for the value in the StandardNormal able. We will get the value=0

Learn  more about average here https://brainly.com/question/20118982

#SPJ4

Answer:

-62570000

Step-by-step explanation:

6.257× -10000000

-62570000

Answer:

52,5°

Step-by-step explanation:

0,5 × (135 - 30)

= 0,5 × (105)

= 52,5°

Answer:

The domain is the time, in minutes from 0 to however long it takes to drain the cooler.

The range is from 12 quarts water to empty.

Step-by-step explanation:

I don't see a graph, but will use the given information to identify a domain and range for the information provided.

The domain is the range of values that are possible for the x axis.  In this case, the x axis it time, in minutes.  If we set x as the time, in minutes, that the water has been draining, time = 0, is the start of the process.  

The y axis, the range, starts at 12 quarts at time = 0.  It then decreases with time until the cooler is empty.  The range of the function is thus 12 quarts to 0 quarts:  Full to empty.

If we knew the actual rate that the cooler drains (e.g., quarts/minute), we could estabish an upper limit to the domain.  If a graph were shown of the data, this rate could be calculated and an upper end to the domain could be set.  If the rate were 2 quarts/minute, the upper end of the domain would be (12 quarts/2 quarts/minute) = 6 minutes.  The domain would be 0 - 6 minutes.

Answer: c

First you organize the numbers into order then you find the middle of both. The middle of Williams was 89. Then you do the same for Andres and you get 82. To get the difference of them both you have to subtract both of them to get 7 and that’s c.

Answer:

I hope this helps!

Answer:

19,200

Step-by-step explanation:

multiply them all together

Answer:

is y=3x+7is the answer of this question

The slope intercept form of equation:   y = mx + b

Therefore:

m = 2 and b = 5   ⇒    y = 2x + 5

m = 3 and b = 7   ⇒    y = 3x + 7

m = 3 and b = -7   ⇒    y = 3x - 7

m = 25 and b = 0   ⇒    y = 25x

m = -25 and b = 0   ⇒    y = -25x

m = 12 and b = 0   ⇒    y = 12x

m = 10 and b = 15   ⇒    y = 10x + 15

y = 122   ⇒   y = 0x + 122   ⇒   m = 0,  b = 122  

y = 252   ⇒  y = 0x + 252   ⇒   m = 0,  b = 252  

y = 10 + 15  ⇒  y = 0x + 25   ⇒   m = 0,  b = 25

y = 2x + 5       ⇒     m = 2,  b = 5

y = 3x + 7       ⇒     m = 3,  b = 7

I'm not sure what you wanted so pick what you need.

We have the following:

Answer:

a

Step-by-step explanation:

I counted :)

Answer:

(1)7 (2)9 (3)6

Step-by-step explanation:

\(\left|\begin{array}{c|cc}X&f(X)=X^2+7\\--&-----\\2&11\\3&16\\4&23\\5&32\\6&43\end{array}\right|\)

(1)The average rate of change between x=2 and x=5

\(\dfrac{dy}{dx} =\dfrac{f(5)-f(2)}{5-2} =\dfrac{32-11}{3} =\dfrac{21}{3} =7\)

(2)The average rate of change between x=3 and x=6

\(\dfrac{dy}{dx} =\dfrac{f(6)-f(3)}{6-3} =\dfrac{43-16}{3} =\dfrac{27}{3} =9\)

(3)The average rate of change between x=2 and x=4

\(\dfrac{dy}{dx} =\dfrac{f(4)-f(2)}{4-2} =\dfrac{23-11}{2} =\dfrac{12}{2} =6\)

Answer:

2 .   4 .  8 .  

Step-by-step explanation:

increases

Answer:

There is one solution.

Step-by-step explanation:

y=2x+2

y=x-1

So 2x+2 = x-1

x = -3

So y = -4

Answer:

y=3x-10

Step-by-step explanation:

A line parallel to another line has the same slope.

Therefore, we can create the equation y=3x+b.

Substituting (4,2) into y=3x+b,

2=3(4)+b

2=12+b

-10=b

y=3x-10

Therefore, the equation of the line parallel to y=3x-8 which passes through the point (4,2) is y=3x-10

Answer:

y = 3x - 10

Step-by-step explanation:

Equation: y = 3x + b

Point: (4, 2)

y = 3x + b

2 = 3 (4) + b

2 = 12 + b

b = -10

y = 3x - 10

Answer:

sub to the students notice the best of luck in life is good and u don't know what to do

Answer:

Break it into 2 parts.

Explanation:

Y=4x

Firstly draw the graph of y=4x , then light it up the y-axis by 4 units.

Or you can do it by plotting points; say x=0, x=1, x=2 and so on.

Step-by-step explanation:

\(=\sqrt{(x_{2} -x_{1})^{2}+(y_{2}-y_{1} )^{2} }\\ =\sqrt{(4-2)^{2}+(-3-(-3))^{2} } \\=\sqrt{(2)^{2}+(-3+3)^{2} } \\=\sqrt{4+0^{2} } \\=\sqrt{4} \\=2\)

the distance is equal to 2

I also provided you with the formula for future use.

SOLUTION

Step 1 :

In this question, we are meant to consider the following:

Tyson has a game board that is made of 64 congruent sections.

Each section is a square with 2.5-inch sides.

We are to find the area of the game board in square inches.

Step 2:

CONCLUSION:

The area of the game board = 160 - inch -square ( OPTION B )

The forecasted registrations for years 2 to 12 using the exp is given below:YearRegistrations (000)Exponential smoothing .

Forecasted registrations

(000)20004.0020035.00

Ft = α(At-1) + (1-α)

Ft-120043.85F3 = αA2 + (1-α)

F220044.04F4 = αA3 + (1-α)

F320059.23F5 = αA4 + (1-α)

F420058.08F6 = αA5 + (1-α)

F520057.28F7 = αA6 + (1-α)

F620073.48F8 = αA7 + (1-α)

F720088.59F9 = αA8 + (1-α)

F820091.23F10 = αA9 + (1-α)

F920090.69F11 = αA10 + (1-α)F1020096.05

To know more about forecasted visit :

https://brainly.com/question/23843246

#SPJ11

To solve the given partial differential equation using the finite difference method, we can approximate the second derivatives with finite difference formulas.

Here's how we can proceed:

Discretize the domain:

Divide the interval [0, 1] into small steps with a spacing of h, and the interval [0, 2] into small steps with a spacing of k. In this case, h = 1/2 and k = 2.

Define the grid:

Create a grid of points (xi, yj) where xi = i * h and yj = j * k for i = 0, 1, ..., 2/h and j = 0, 1, ..., 2/k.

Approximate the derivatives:

Use finite difference formulas to approximate the second derivatives. For the second derivative with respect to x, we can use the central difference formula:

Uxx ≈ (U[i+1][j] - 2U[i][j] + U[i-1][j]) / (h^2)

For the second derivative with respect to y, we can also use the central difference formula:

Uyy ≈ (U[i][j+1] - 2U[i][j] + U[i][j-1]) / (k^2)

Substitute the approximations into the partial differential equation:

Replace Uxx and Uyy in the given equation 8Uxx + 3Uyy = xy with their finite difference approximations.

Solve the resulting system of equations:

Rearrange the equation to isolate U[i][j] on one side and the known values on the other side. Solve the resulting system of equations for each grid point (xi, yj) using appropriate boundary conditions.

Calculate the values of U at each grid point:

Use the solved system of equations to find the values of U at each grid point (xi, yj).

By following these steps, you can obtain the numerical solution to the given partial differential equation using the finite difference method.

learn more about finite differences here: brainly.com/question/32214884

#SPJ11

Answer: 2x+6

Step-by-step explanation: two times a number plus six in other words

Answer: 2a+6

Step-by-step explanation:

Density of liquid b = 0.4 g/cm³.

Let the volume of liquid B added be V cm³.

The total volume of the mixture = Volume of A + Volume of B = 150 + V cm³

Using the formula:

Density = Mass/Volume

Density of C = (Mass of C) / (Volume of C)

1.1 = 220 / (150 + V)

Solving for V, we get:

V = 100 cm³

Therefore, the volume of liquid B added is 100 cm³.

The total mass of the mixture = Mass of A + Mass of B = (Density of A x Volume of A) + (Density of B x Volume of B)

220 = (1.2 x 150) + (Density of B x 100)

Solving for Density of B, we get:

Density of B = (220 - 180) / 100 = 0.4 g/cm³

Therefore, the density of liquid B is 0.4 g/cm³.

Learn more about Density of liquid

brainly.com/question/18090062

#SPJ11

The probability that the mean weight of 50 randomly selected fish from the lake is less than 6.5 lb is approximately 0.8673.

To solve this problem, we will use the Central Limit Theorem, which states that the distribution of sample means from a population with any distribution approaches a normal distribution as the sample size increases.

Given that the population mean is 6.1 lb and the population standard deviation is 2.1 lb, we can calculate the standard error of the mean (SE) using the formula SE = σ/√n, where σ is the standard deviation of the population and n is the sample size.

In this case, σ = 2.1 lb and n = 50, so the standard error of the mean is SE = 2.1/√50 ≈ 0.297 lb.

Next, we need to standardize the sample mean using the formula z = (x - μ) / SE, where x is the desired sample mean and μ is the population mean.

Substituting the values, we have z = (6.5 - 6.1) / 0.297 ≈ 1.34.

Now, we need to find the probability of obtaining a z-score less than 1.34. We can use a standard normal distribution table or a statistical software to find this probability. Using a table or software, we find that the probability is approximately 0.8673.

The probability that the mean weight of 50 randomly selected fish from the lake is less than 6.5 lb is approximately 0.8673. This means that there is a high likelihood that the average weight of a sample of 50 fish from the lake will be less than 6.5 lb, given the population mean and standard deviation provided.

To know more about Probability, visit

https://brainly.com/question/30390037

#SPJ11

Answer:

B. a warm coat, because the winters will be cold

Step-by-step explanation:

Continental climates are notable for extreme weather conditions. When it is hot, it is extremely hot and when it is cold, it is extremely cold. Tropical climates on the other hand are known to always have hot weather conditions.

Since Harry is already used to the tropical climate which largely features hot temperatures, we assume that he already has suitable clothing for such weather conditions. So, in addition to that, Harry would need warm clothing for the cold winters which he would experience in the continental climate. So, Harry would need a warm coat because the winter will be cold.

Answer:

5

Step-by-step explanation:

Every number from the absolute sign will be positive.