Pablo has 0 pieces of candy and wants to divide them into 2 equal piles. You want to know how many pieces will be in each pile? Can you divide zero into 2 equal parts?

S = {(t, 1, 1), (1, 0, 1), (1, 1, 3t)} is linearly independent of t.

Therefore the answer is b) S = {(t, 1, 1), (1, 0, 1), (1, 1, 3t)}.

(a) S is linearly independent for all values of t if the following equation has a non-trivial solution:

a(t, 1, 1) + b(1, t, 1) + c(1, 1, t) = (0, 0, 0).

Expanding this equation, we get:

at + b + c = 0

a + bt + c = 0

a + b + ct = 0.

Solving this system of linear equations, we find that a = b = c = 0. This implies that any linear combination of the vectors in S results in the zero vector, so S is linearly dependent for all values of t.

(b) S is linearly independent if the following equation has a non-trivial solution:

a(t, 1, 1) + b(1, 0, 1) + c(1, 1, 3t) = (0, 0, 0).

Expanding this equation, we get:

at + b + 3ct = 0

b = 0

a + c = 0.

Since a and c cannot both be zero, this system has no trivial solution, which means that S is linearly independent for all values of t.

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Answer:

B

Step-by-step explanation:

When x=1, we will use the second equation

-(1)+1 = 0

Step-by-step explanation:

find 30% of 455

which is = 136.5

then subtract 136.5 from the original number(455)

455 - 136.5

=318.5 student

Answer:

1 41/100

Step-by-step explanation:

Answer:

141/100 (Already in simplest form). As a mixed number, it is: 1 41/100

Step-by-step explanation:

Answer:

150 is the given number

Double=150x2=300

Step-by-step explanation:

Answer:

Step-by-step explanation:

Compare the equation with the standard form, y=ax2+bx+c . Since the value of a is positive, the parabola opens up.

So, y=0 implies, by the zero product property, x+4=0 or x−2=0 .

Substitute x=−1 in the equation y=−x2−2x+8 to find the y -coordinate of the vertex.

To determine which proposal(s) to select, we need to compare the present worth or net present value (NPV) of each proposal. The NPV represents the difference between the present value of cash inflows and outflows for each proposal.

For independent proposals at MARR = 15.5% per year:

Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 15.5%.

Select the proposal(s) with a positive NPV. Positive NPV indicates that the project's expected cash inflows exceed the initial investment and the MARR.

For mutually exclusive proposals at MARR = 10% per year:

Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 10%.

Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.

For mutually exclusive proposals at MARR = 14% per year:

Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 14%.

Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.

It's important to note that the specific details of the proposals, including cash inflows, outflows, and timing, are needed to calculate the NPV accurately. Without this information, it is not possible to provide a definitive answer.

\((x^4)^6 = x^{4 \times 6} = x^{24}\)

Answer:

x^24, (C on edge)

Step-by-step explanation:

can I explain what statistical mean

(a) The economic loading of unit 4 and B are 11.54 MW and 138.46 MW, respectively.

To find the economic loading of the two units when the total load to be supplied by the power station is 150 MW, we need to minimize the total fuel cost. Let x be the power generated by unit 4 and y be the power generated by unit B. Then, we have:

x + y = 150 (total load)

The total fuel cost C is given by:

C = F4(x) + Fb(y)

where F4(x) and Fb(y) are the fuel costs for units 4 and B, respectively. Using the given relations, we have:

F4(x) = 0.06x^2 + 11.4x

Fb(y) = 0.07y^2 + 10y

Substituting x = 150 - y, we get:

C(y) = 0.06(150-y)^2 + 11.4(150-y) + 0.07y^2 + 10y

Expanding and simplifying, we get:

C(y) = 0.013y^2 - 3.6y + 1710

To minimize C(y), we take its derivative with respect to y and set it equal to zero:

dC/dy = 0.026y - 3.6 = 0

y = 138.46 MW

Substituting y back into x = 150 - y, we get:

x = 11.54 MW

(b) The negative value that is  -1297.5 indicates that there is a net decrease in fuel cost per hour if the load is equally shared by the two units.

To find the net increase in fuel cost per hour if the load is equally shared by the two units, we need to calculate the fuel cost for each unit when they generate half of the total load (i.e., 75 MW). Using the given relations, we have:

F4(75) = 0.06(75)^2 + 11.4(75) = 1282.5

Fb(75) = 0.07(75)^2 + 10(75) = 1312.5

Therefore, the total fuel cost is:

C = F4(75) + Fb(75) = 2595

If the load is equally shared by the two units, each unit generates 75/2 = 37.5 MW. The fuel cost for each unit is:

F4(37.5) = 0.06(37.5)^2 + 11.4(37.5) = 641.25

Fb(37.5) = 0.07(37.5)^2 + 10(37.5) = 656.25

Therefore, the total fuel cost is:

C' = F4(37.5) + Fb(37.5) = 1297.5

The net increase in fuel cost per hour is:

ΔC = C' - C = 1297.5 - 2595 = -1297.5

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Answer:

no, you have to be 18 or older

The translation of the statement given as ''You must be at least 25 to rent a car'' to an equation is,

⇒ x ≥ 25

The statement is given as:

You must be at least 25 to rent a car to an equation

In algebra, the statement "at least" means

Greater than or equal to

This is represented as:

Greater than or equal to ( ≥ )

So, we have the statement to be

You must be ≥ 25 to rent a car to an equation

Let the person's age be x.

So, the inequality expression is

⇒ x ≥ 25

Hence, the translation of the statement to an equation is, x ≥ 25

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The complete question is,

How do I translate you must be at least 25 to rent a car to an equation?

A/an database schema diagram can be used to show how the tables in a database are defined and related.

This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and  their attributes, and the relationships between them.

The database schema diagram helps in the  understanding the logical design of the database, including primary keys, for  foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in  designing, modifying, and querying the database effectively.

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Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer:

yes indeed it is ma'am or by if u trans like Lil Nas X

Answer:

Yes it is

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Combine the X's to become 1x and then add one to both sides. Also there is this site called . Its a calc. U can use that instead of brainly for the answers. Saves u points.

Answer: 8

Step-by-step explanation:

The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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Answer:

b c

Step-by-step explanation:

Answer:

Option A and Option C

Step-by-step explanation:

Option B and Option D associative property

Answer:

-4

Step-by-step explanation:

(4-2)³ = 8

so 8 - 3 x 4

is equal to -4

The expression  \(((4 - 2)^3 - 3) \times 4\) simplifies to 20, as of the given operations.

To calculate the expression  \(((4 - 2)^3 - 3) \times 4\), we follow the order of operations (PEMDAS/BODMAS).

First, we evaluate the parentheses: (4 - 2) = 2.

Next, we calculate the cube of 2³= 8.

Then, we subtract 3 from 8:
8 - 3 = 5.

Finally, we multiply the result by 4:
5 × 4 = 20.

Therefore, the value of the expression \(((4 - 2)^3 - 3) \times 4\) is 20.

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The equation y=-5/2x+5 is the equation of graph. Option C is correct.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

From the graph the line is passing through (0,5)  to (2,0)

x₁,=0, y₁=5,x₂=2, y₂=0

m=0-5/2

m=-5/2

The slope intercept form will be y=-5/2x+c

Let us consider a point (0,5 )

5=-5/2(0)+c

c=5

y=-5/2x+5

Hence the equation y=-5/2x+5 is the equation of graph.

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Answer:

2143

Step-by-step explanation:

2 × 4^5 + 10 (5 × 2) -10 ÷ 2

= 2 × 4^5 + 10 × 10 (-10) ÷ 2

= 2 × 4^5 + 10 × 10 - 10 ÷ 2

= 2 × 4^5 + 10 × 10 - 5

= 2048 + 100 - 5

= 2148 - 5

= 2143

Answer:

Your answer is 2143

Step-by-step explanation:

2 × 4^5 + 10 × 10 - 10 ÷ 2

*How i got the -5 is becuase 10/2 = 5

= 2 × 4^5 + 10 × 10 - 5

* How i go the 100 is becuase 10 *10 = 100

2048 + 100 - 5

How i go 2148 is becuase 2048+100 = 2148

2148 - 5

Answer = 2143

Answer:

A. F has a greater y-intercept than G.

Step-by-step explanation:

Khan Academy said that was the correct answer choice.

Answer:

Step-by-step explanation:

Answer:

37/2

Step-by-step explanation:

since its a repeating 36 would become a 37 and the 2 would become the denominator

The values of "a" and "b" that satisfy the equation are: a = -4 and b = 5

To find the values of "a" and "b" in the equation:

−3(2x² + ax + b) = −6x² + 12x − 15

Start by expanding and simplifying the left side of the equation:

−6x² - 3ax - 3b = −6x² + 12x − 15

Now, group the like terms:

(-6x²) + (-3ax) + (-3b) = (-6x²) + (12x) - 15

Comparing the coefficients of each degree term, we have:

-6x² = -6x² (coefficients of x² on both sides are the same)

-3ax = 12x (coefficients of x on both sides are the same)

-3b = -15 (constants on both sides are the same)

From the first equation, we can see that the coefficient of x² on both sides is -6. This means that the equation is satisfied for any value of "a" as long as the other equations are also satisfied.

From the second equation, equate the coefficients of x:

-3ax = 12x

This implies that -3a = 12, so we can solve for "a":

-3a = 12

a = -12/3

a = -4

Finally, from the third equation, solve for "b":

-3b = -15

Dividing both sides by -3:

b = (-15)/(-3)

b = 5

Therefore, the values of "a" and "b" that satisfy the equation are:

a = -4

b = 5

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Answer:

6,912....

Step-by-step explanation:

6 times 12 times 6 time 4 times 4 = 6,912

Answer:

= 360 ft³

Step-by-step explanation:

Rectangular prism

Volume = length x width x height

V = l x w x h

V = 12 x 6 x 4

V = 288 ft³

Triangular prism

Volume = 1/2 x base x height x length

V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)

V = 1/2 x 144

V = 72 ft³

ADD BOTH VOLUMES

= 288 + 72

= 360 ft³

Answer:

it has to equal -1 x= to -1 parenthesees

1 times -1= -1 its true for that 1 answer but not the others

The set of solutions for each of the inequalities are given by:

(b) - 4.8 < m < 6.4

(e) x \(\geq\) 5

(g) - 11.6 < z < 14

(h) either k < -19/3 or k > 7

Solving the given absolute value inequalities we get,

(b) The given inequality,

|2 - 5m/2| < 14

- 14 < 2 - 5m/2 < 14

-14 - 2 < -5m/2 < 14 - 2

-16 < -5m/2 < 12

-12 < 5m/2 < 16

-12*2 < 5m < 16*2

-24/5 < m < 32/5

- 4.8 < m < 6.4

(e) The given inequality,

2> - |(x-8)/5 + 3/5|

|(x-8)/5 + 3/5| > -2

|(x-8)/5 + 3/5| \(\geq\) 0 [Since absolute value is always positive or zero]

(x-8)/5 + 3/5 \(\geq\) 0

(x-8+3)/5 \(\geq\) 0

x - 5 \(\geq\) 0

x \(\geq\) 5

(g) The given inequality,

|(5z - 6)/8| < 8

-8 < (5z - 6)/8 < 8

-64 < 5z - 6 < 64

-64 + 6 < 5z < 64 + 6

-58 < 5z < 70

-58/5 < z < 70/5

-58/5 < z < 14

- 11.6 < z < 14

(h) The given inequality,

|(3k - 1)/4| > 5

either, (3k - 1)/4 < -5

3k - 1 < -20

3k < -19

k < -19/3

or, (3k - 1)/4 > 5

3k - 1 > 20

3k > 20 + 1 = 21

k > 21/3

k > 7

Hence the solution sets are:

(b) - 4.8 < m < 6.4

(e) x \(\geq\) 5

(g) - 11.6 < z < 14

(h) either k < -19/3 or k > 7

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Answer:

4.6 inches

Step-by-step explanation: