this was from yesterday and i need to finish it so help me plz

The probability that the coin will show heads or tails, the cube will show a three, and a blue shape will be chosen is 1/24.

Probability of the coin showing heads or tails: Since there are two equally likely outcomes (heads or tails) when flipping a fair coin

The probability of getting heads or tails is 1/2.

Probability of the cube showing a three: Since a standard number cube has six faces numbered from 1 to 6, and only one face has a three, the probability of rolling a three is 1/6.

Probability of choosing a blue shape: 3/6 or 1/2

The probability that the coin will show heads or tails, the cube will show a three, and a blue shape will be chosen is 1/2+1/6+1/2 which is 1/24

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Answer:

1/2

Step-by-step explanation:

because 5 times 1/2 and you get 2 1/2

The given statement "if the total change of a function f along a curve c is zero, then c must be a contour of f" is true because a contour of a function f is a curve along which the function has a constant value.

When the total change of a function f along a curve c is zero, it means that the function's value has not changed throughout the curve.

This indicates that the curve c must be a contour of the function f, as the function has a constant value along the curve.

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Answer:

78

Step-by-step explanation:

102+x=180

x=180-102

x=78

Answer:

Step-by-step explanation:

\( { - 5}^{x} + 1 \times { - 5}^{5} = { - 5}^{7} \\ { - 5}^{x} - {5}^{5} = { - 5}^{7} \\ {5}^{7} - {5}^{5} = {5}^{x} \\ log_{5} \: {5}^{7} - {5}^{5} = x \\ log_{5} \: {5}^{7} - log_{5} \: {5}^{5} = x \\ 7 - 5 = x \\ 2 = x \\ \)

The arc length of the curve x = 7 cos ( 7 t ) , y = 7 sin ( 7 t ) with 0 ≤ t ≤ π 14 , we can use the formula:
L = ∫[a,b]√[dx/dt]^2 + [dy/dt]^2 dtThe arc length of the curve x = 7 cos ( 7 t ) , y = 7 sin ( 7 t ) with 0 ≤ t ≤ π 14 , is π/2 units.

Find the arc length of the curve x = 7 cos ( 7 t ) , y = 7 sin ( 7 t ) with 0 ≤ t ≤ π 14 , we can use the formula:
L = ∫[a,b]√[dx/dt]^2 + [dy/dt]^2 dt
where a and b are the limits of integration, and dx/dt and dy/dt are the derivatives of x and y with respect to t.
In this case, we have:
dx/dt = -7 sin (7t)
dy/dt = 7 cos (7t)
So, we can substitute these values into the formula and integrate over the given range of t:
L = ∫[0,π/14]√[(-7 sin (7t))^2 + (7 cos (7t))^2] dt
L = ∫[0,π/14]7 dt
L = 7t |[0,π/14]
L = 7(π/14 - 0)
L = π/2
Therefore, the arc length of the curve x = 7 cos ( 7 t ) , y = 7 sin ( 7 t ) with 0 ≤ t ≤ π 14 is π/2 units.

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Answer:

x = 3, PQ = 6 , PR = 12

Step-by-step explanation:

Given Q is the midpoint of PR , then

PQ = QR = 2x

PR = PQ + QR , that is

8x - 12 = 2x + 2x

8x - 12 = 4x ( subtract 4x from both sides )

4x - 12 = 0 ( add 12 to both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Then

PQ = 2x = 2 × 3 = 6

PR = 8x - 12 = 8(3) - 12 = 24 - 12 = 12

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

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hope it helps

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.

Step-by-step explanation:

I hope you can please mark me as

Answer:

Bottom right

Step-by-step explanation

Answer:

first answer is correct

Answer:

I think the answer is -7

because : 3(-5) + 4(2)

-15 + 8

= -7

To use Lagrange multipliers to find the shortest distance from the point (7, 0, −8) to the plane x y z = 1, we need to set up the following optimization problem:

Minimize the distance function D(x, y, z) = √((x-7)^2 + y^2 + (z+8)^2) subject to the constraint f(x, y, z) = x y z - 1 = 0.

Using Lagrange multipliers, we set up the following system of equations:

∇D(x, y, z) = λ∇f(x, y, z)
f(x, y, z) = 0

Taking the partial derivatives, we have:

∇D(x, y, z) = (x-7, y, z+8)
∇f(x, y, z) = (y z, x z, x y)

Setting these equal to each other and solving for x, y, z, and λ, we get:

x-7 = λ y z
y = λ x z
z+8 = λ x y
x y z = 1

Multiplying the first three equations together and using the fourth equation, we get:

(x-7)yz = λxzy = (z+8)xy
(x-7)yz = (z+8)xy
xz - 7z = yz + 8xy
xz - yz = 8xy + 7z
z(x-y) = 8xy + 7z
z = (8xy)/(y-x)

Substituting this into the equation x y z = 1, we get:

x y (8xy)/(y-x) = 1
8x^2 y - xy^2 = x^2 y - xy^2
7x^2 y = 0
x = 0 or y = 0

If x = 0, then we have yz = 1, and substituting into the equation z = (8xy)/(y-x), we get z = -8, which is not on the plane x y z = 1.

If y = 0, then we have xz = 1, and substituting into the equation z = (8xy)/(y-x), we get z = -1/8.

Therefore, the point on the plane x y z = 1 closest to the point (7, 0, −8) is (0, 0, -1/8), and the shortest distance is:

D(0, 0, -1/8) = √((0-7)^2 + 0^2 + (-1/8+8)^2) = √(49 + 63/64) ≈ 7.98.

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The collector's item has a growth rate of the  is approximately 0.1324, or 13.24%

To determine the growth rate of the collector's item, we can use the formula for exponential growth:

\(V = P * (1 + r)^t\)

Where:

V is the final value ($496),

P is the initial value ($212),

r is the growth rate, and

t is the time period (1986 - 1980 = 6 years).

We can rewrite the formula as:

\((1 + r)^6 = 496 / 212\)

To solve for r, we can take the sixth root of both sides:

\(1 + r = (496 / 212)^{(1/6)}\)

Subtracting 1 from both sides gives us:

\(r = (496 / 212)^{(1/6)} - 1\)

Using a calculator, we can calculate the value of r:

r ≈ 0.1324

Therefore, the growth rate of the collector's item is approximately 0.1324, or 13.24%.

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Amar owes $2,000 on his credit card with a minimum percentage of 4% or $60, whichever is higher.

The Minimum Payment due is $ 80 as it is higher from the minimum payment of $60.

Given :

Credit Card amount = $2000

Minimum Percentage = 4%

By using the below formula we can find the minimum balance

Minimum Balance = Credit Card Amount * Minimum Percentage

Minimum Balance = $2000 * 4%

            = $80

So According to the question Amar owes $2000 on his credit card with a minimum percentage of 4% or a minimum payment of $60, whichever is higher.

So the minimum percentage of 4% or minimum balance is higher than $60.

So that’s why the minimum payment due is $80.

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Answer:

a=4,-4

Step-by-step explanation:

Answer:

The answer Is A! Hope you do Great!

Step-by-step explanation:

By statement equation, the extra water bottles can you add to your backpack if each bottle weighs 3/4 pound is 2 .

It is given that  the total weight of your backpack and its contents is 13 3/8 pounds.

Also given , we want to carry no more than 15 pounds.

Let the number of bottles we can carry be x.

Each bottles weigh 3/4 pounds.

Total weight of the bottles = 3x/4 pounds.

Thus, the total weight of the backpack is 13 3/8 + 3x/4 pounds .

Thus the statement equation formed is -

⇒ 107/8 + 3x/4 = 15

⇒ 3x/4 = 13/8

⇒ x = 13/6 = 2.166

∴  x ≈ 2

Therefore, by statement equation, the extra water bottles can you add to your backpack if each bottle weighs 3/4 pound is 2 .

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Answer:

Simple answer, 2 1/2

Step-by-step explanation:

5/8 divided by 1/4 is 2.5. 2 and 1/2 means there is 2 whole units, and half a unit. Making it 2 and 1 half

Fred Meyer's unit Rate: $2.17 per pound.

Costco's unit Rate: $2.10 per pound.

Better Price:​  Costco has the better price for cheddar cheese.

To determine who has the better price for cheddar cheese, let's calculate the unit rate for both Fred Meyer and Costco.

Fred Meyer:

Cheddar cheese is priced at $6.50 for 3 pounds. To find the unit rate, we divide the price by the quantity: $6.50 ÷ 3 pounds = $2.17 per pound.

Costco:

Costco offers 10 pounds of cheddar cheese for $21. To find the unit rate, we divide the price by the quantity: $21 ÷ 10 pounds = $2.10 per pound.

Comparing the unit rates, we can see that Fred Meyer's cheddar cheese is priced at $2.17 per pound, while Costco's cheddar cheese is priced at $2.10 per pound.

Therefore, based on the unit rates, Costco has the better price for cheddar cheese. They offer it at a slightly lower price per pound compared to Fred Meyer. Customers can save $0.07 per pound by purchasing cheddar cheese from Costco instead of Fred Meyer.

However, it's important to note that price isn't the only factor to consider when deciding where to purchase cheddar cheese. Other factors such as location, quality, convenience, and personal preferences should also be taken into account.

Additionally, it's always a good idea to compare prices and consider any ongoing promotions or discounts that might affect the final decision.

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The equation of line whose x-intercepts is 12 and y- intercept is 4 is

3x + y = 36.

According to the given question.

We have a equation of line.

ax + by = c.

Also, x-intercept is 12 and y intercept is 4.

As we know that,the x-intercept for any curve is the value of the x coordinate of the point where the graph cuts the x-axis and y coordinate is zero.

And, the y-intercept is the point where the graph intersects the y-axis and the x-coordinate is zero.

Therefore, we have two points (12, 0) and (0, 4).

So, the equation of line from the two point s(12, 0) and (0, 4) is given by

(  y - 0) = (4 - 0/0 - 12)(x -12)

⇒ y = 4/-12(x -12)

⇒ y = -3(x -12)

⇒ y = -3x + 36

⇒ 3x + y = 36

By comparing the given equation of line ax + by = c with the above equation we get

a = 3, b = 1 and c = 36.

Hnce, the equation of line whose x-intercepts is 12 and y- intercept is 4 is 3x + y = 36.

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Answer:

A- a = 8

D- b = 1

Step-by-step explanation:

The speed of the current is 2 miles per hour, and the speed of the kayak in still water is 6 miles per hour.

Given that Sun, a kayaker, paddles 8 miles upstream (against the current) in 2 hours, while returning to her original location, she paddles downstream (with the current) the same distance in 1 hour, to determine her speed and the speed of the current, the following calculations must be made:

Therefore, the speed of the current is 2 miles per hour, and the speed of the kayak in still water is 6 miles per hour.

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The minimum value of the objective function c = x + 2y, subject to the given constraints, is 44.

To solve the given LP problem:

Minimize c = x + 2y

Subject to:

x + 3y >= 20

2x + y >= 20

x >= 0

y >= 0

Since the objective function is a linear function and the feasible region is a bounded region, we can solve this LP problem using the simplex method.

Step 1: Convert the inequalities into equations by introducing slack variables:

x + 3y + s1 = 20

2x + y + s2 = 20

x >= 0

y >= 0

s1 >= 0

s2 >= 0

Step 2: Set up the initial simplex tableau:

markdown

Copy code

     x   y   s1   s2   c   RHS

-------------------------------

P     1   2   0    0    1   0

s1   1   3   1    0    0   20

s2   2   1   0    1    0   20

Step 3: Perform the simplex iterations to find the optimal solution.

After performing the simplex iterations, we obtain the following final tableau:

markdown

Copy code

      x    y    s1   s2   c    RHS

---------------------------------

Z    0.4  6.6   0    0    1   44

s1   0.2  1.8   1    0    0   10

s2   0.4  1.2   0    1    0   4

Step 4: Analyze the final tableau and determine the optimal solution.

The optimal solution is:

x = 0.4

y = 6.6

c = 44

Therefore, the minimum value of the objective function c = x + 2y, subject to the given constraints, is 44.

Since the LP problem is bounded and we have found the optimal solution, there is no need to consider the unbounded case.

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To solve this expression, we need to perform the multiplication operation first, and then add the results to 2.

So, 100000000000000000000 * 64444444444444444444444444 = 6.444444444444444e+43

Adding 2 to this result, we get:

6.444444444444444e+43 + 2 = 6.444444444444444e+43 + 2.0 = 6.444444444444444e+43

Therefore, the final answer is 6.444444444444444e+43.

Answer:

6.44444444E45

Step-by-step explanation:

1+1+100000000000000000000*64444444444444444444444444

Answer:

$960

Step-by-step explanation:

take the total salary to be 100%, since the taxes are 20% subtract 20% from 100% to get 80% which will represent the left over after the taxes have been taken so say if 100%=$1200 what about 80% 80times 1200 then divide by 100.

The probability of at least 143 commuting from a random sample of 550 students is 0.9796 or 97.96%

Probability of students who commute to school p = 0.30

Number of students n = 550

Using normal distribution approximation to the binomial distribution:

Mean µ = np = 550*0.30 = 165

Standard deviation σ = √np(1 -p) = √550*0.30(1 – 0.3) = 10.75

The require probability is P(X > 143)

Finding the z score of X,

z = (X - µ)/σ

z = (143 - 165)/10.75

z = -2.0465

Hence,

P(X > 143) = P(z > -2.0465) = 1 – P(z ≤ - 2.0465)

From the table,

P(z ≤ - 2.0465) = 0.020354

Hence,

P(X > 143) = 1 – 0.020354 = 0.979

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Functions can be represented using equations and graphs

The features of \(f(x) = =-2\log_2 (x - 2)\) are

The equation of the graph is given as:

\(f(x) = =-2\log_2 (x - 2)\)

The above equation is a logarithmic function with the following features derived from its graph

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$2627625 much should you expect to pay in interest over the life of the loan if your interest rate is 10.50%.

The amount of interest payable each period expressed as a percentage of the amount lent, deposited, or borrowed is known as the interest rate. The total amount of interest on a loaned or borrowed sum is determined by the principle amount, the interest rate, the frequency of compounding, and the period of time during which it is lent, deposited, or borrowed.

Simple interest rate = P × R × T

where,

P = Principal = $19,250

R = Rate of Interest in % per annum = 10.50%

T = Time, usually calculated as the number of years = 13 years

Thus,

simple interest =  19250 × 10.50  × 13

simple interest = 2627625

$2627625 much should you expect to pay in interest over the life of the loan if your interest rate is 10.50%

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The value of x, given the equation that shows the relationship between x and other values is - 40

To find the value of x, we need to collect like terms and then solve the equation to find out what x value would lead to the equation being balanced.

The equation is 30 = 2x + 110

Collecting like terms gives:

30 = 2x + 110

2x = 30 - 110

Then we can solve for x :

x = (30 - 110) / 2

x = - 80 / 2

x = - 40

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Full question is:

Find the value of x.

30 = 2x + 110

Answer:

a = 3

b= -1  

c = 5

X = (-b +- sqrt [b^2 - 4ac]) / 2a

X = (--1 +- sqrt (1 - 4*3 * 5)) / 2* 3

x = (1 += sqrt (1 -60)) / 6

x1 = (1 + sqrt (-59)) / 6

x2 = (1 - sqrt (-59)) / 6

Source: http://www.1728.org/quadratc.htm

Step-by-step explanation: