Is -12 divided by -5 a rational number or irrational

Solving the integral, we get:`A = ∫_(-2)^(0) (3x^2 - 2) dx`=`[x^3 - 2x]_(-2)^(0)`=`0 - 0 - [-8 + 4]`=`4`.Hence, the area between the curve g(x)=3x2 2 and the x-axis from x=−2 to x=0 is 4 square units.

The given curve is `g(x)

=3x^2 - 2`. We need to find the area between the curve g(x)

=3x2 2 and the x-axis from x

=−2 to x

=0.Area between curve and x-axisFor a curve `y

= f(x)`, the area between the curve and the x-axis in the interval `[a,b]` is given by: `A

= ∫_(a)^(b) f(x) dx`Here, the curve is `y

= g(x)

= 3x^2 - 2` and the limits of integration are `a

= -2` and `b

= 0`. So, we have to find the integral of the curve from `-2` to `0` as below: `∫_(-2)^(0) (3x^2 - 2) dx`.Solving the integral, we get:`A

= ∫_(-2)^(0) (3x^2 - 2) dx`=`[x^3 - 2x]_(-2)^(0)`

=`0 - 0 - [-8 + 4]`

=`4`.Hence, the area between the curve g(x)

=3x2 2 and the x-axis from x

=−2 to x

=0 is 4 square units.

To know more about integral visit:

https://brainly.com/question/31433890

#SPJ11

Answer:

4 and -3 i think

Step-by-step explanation:

the dot is on 4 and -3

Answer:

I think it is (4,-3)

Step-by-step explanation:

The value of P(-1.83 ≤ z ≤ 0.56) for a standard normal distribution is 0.6783, or 68.83%.

To find the value of P(-1.83 <= z <= 0.56) for a standard normal distribution, we need to find the probability associated with each individual value and then subtract the lower probability from the higher probability.

As, P(z <= -1.83) is 0.034, and P(z <= 0.56) is 0.7123.

To find P(-1.83 ≤ z ≤ 0.56), we subtract the lower probability from the higher probability:

P(-1.83 ≤ z ≤ 0.56)

≈ P(z ≤ 0.56) - P(z ≤-1.83)

≈ 0.7123 - 0.034

or, P(-1.83 ≤ z ≤ 0.56) ≈ 0.6783

Therefore, the value of P(-1.83 ≤ z ≤ 0.56) for a standard normal distribution is 0.6783, or 68.83%.

Learn more about Normal Distribution here:

https://brainly.com/question/29509087

#SPJ1

The translation that represents T–4, 6(x, y) is (b) a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up

The translation rule is given as:

T–4, 6(x, y)

This can be rewritten as

T(x- 4, y + 6)

The above represents a translation 4 units left and 6 units up

Hence, the translation that represents T–4, 6(x, y) is (b) a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up

Read more about transformation translation at:

https://brainly.com/question/8797028

#SPJ1

Answer:

4z -6< - 10= Z= < -1

5z - 3 >7= Z=< 2

Step-by-step explanation:

Step-by-step explanation:

So what type of maths help do you want

Answer: No

Step-by-step explanation:

It is already in its simplest form, but the decimal for it would be 0.53.

Answer: 8/15 can`t be simplified

Step-by-step explanation:

\(\displaystyle\\\frac{8}{15} =\\\\\frac{2*4}{3*5} \\\\Hence,\\\\ 8/15\ can`t\ be\ simplified\)

Approximation of 12.0 by rounding off the number is 12.

Anything similar to something else but not precisely the same is called an approximation. By rounding, a number may be roughly estimated. By rounding the values in a computation before carrying out the procedures, an estimated result can be obtained.

Rounding is a very basic estimating technique. The main ability you need to swiftly estimate a number is frequently rounding. In this case, you may simplify a large number by "rounding," or expressing it to the tenth, hundredth, or a predetermined number of decimal places.

In the given problem, we are asked to approximate the value of 12.0 which is equal to 12.

Learn more on approximation here;

https://brainly.com/question/28802280

#SPJ1

Answer:

i dont know how many balls there are

Answer:

Nick is 6

Andrea is 18

Step-by-step explanation:

Sounds like a system of equations

Letting...

a = Andrea

n = Nick

Since she's 3 times the age, the first equation will be

a = 3n

Since in 10 years, Andrea will be 12 years older than Nick, we can write

a = n + 12

Since we have two a = ,we can set them equal to each other

3n = n + 12

Subtracting n

3n - n = 12

Now combining the n's (n is the same as 1n)

2n = 12

And last but not least, we can divide by 2

n = 6... so Nick is 6 right now.

Going back to our first equation of a = 3n, if we plug 6 in

a = 6(3) = 18.

Making Andrea 18 right now

(18) The product of the two functions f(x) g(x) is 3x⁴ - 39x³ + 255x² - 525x + 1225. (19) The composition of functions g(f(x)) is 80. (20) The domain of the function is  (-∞, +∞).

(18) To find the product of f(x) and g(x), we simply multiply the two functions:

f(x) = 3x² - 15x

g(x) = x² - 12x + 35

f(x) * g(x) = (3x² - 15x) * (x² - 12x + 35)

To simplify, we can use the distributive property and combine like terms:

f(x) * g(x) = 3x² * (x² - 12x + 35) - 15x * (x² - 12x + 35)

              = 3x⁴ - 36x³ + 105x² - 15x^3 + 180x² - 525x

              = 3x⁴ - 51x³ + 285x² - 525x

Therefore, f(x) * g(x) = 3x⁴ - 51x³ + 285x² - 525x.

(19) To find the composition of functions g(f(x)) when x = 3, we substitute f(x) = 2x² - 7x into g(x):

g(f(x)) = g(2x² - 7x).

Now we substitute x = 3 into this expression:

g(f(3)) = g(2(3)² - 7(3)).

Simplifying further, we have:

g(f(3)) = g(18 - 21) = g(-3).

To find g(-3), we substitute x = -3 into g(x):

g(-3) = (-3)² - 12(-3) + 35 = 9 + 36 + 35 = 80.

Therefore, g(f(3)) = 80.

(20) To find the domain of the function f(x) = 8x² - 10x + 21, we need to determine the values of x for which the function is defined. Since f(x) is a quadratic function, it is defined for all real numbers. Therefore, the domain of f(x) is the set of all real numbers, or (-∞, +∞).

Learn more about Composition here: https://brainly.com/question/30761627

#SPJ11

The total capital raised from selling 10 investment units at $100,000 per unit with a preferred return of 7% and a 70%/30% split would be $1,000,000.

To calculate the total capital raised, we need to consider the number of units sold, the price per unit, and the preferred return.

Given that 10 investment units were sold at $100,000 per unit, the total value of the units sold would be 10 units * $100,000 = $1,000,000.

The preferred return of 7% indicates that the investors will receive a fixed return of 7% on their investment before any profit sharing occurs. However, for the purpose of calculating the total capital raised, we do not deduct the preferred return from the total value of the units sold.

The 70%/30% split suggests that after the preferred return is paid, the remaining profits will be split between the owner and the investors in a 70%/30% ratio. This split does not affect the calculation of the total capital raised.

Learn more about total capital raised here:

https://brainly.com/question/13574654

#SPJ11

Answer:

<BMD = 188°

Step-by-step explanation:

5g + 193

g = 193 - 5

g = 188°

7g + 107

g = 107 - 7

g = 100°

The value of E(XY−6X) is 40.

To find the value of E(XY−6X), we can use the linearity of expectations. Since X and Y are independent random variables, the expected value of their product is equal to the product of their expected values.

E(XY) = E(X) * E(Y)

Given that E(X) = -5 and E(Y) = -2, we can substitute these values into the equation:

E(XY) = (-5) * (-2) = 10

Next, we need to calculate the expected value of -6X. Again, using the linearity of expectations:

E(-6X) = -6 * E(X)

Substituting the value of E(X) = -5:

E(-6X) = -6 * (-5) = 30

Now, we can find the expected value of the expression XY−6X by subtracting E(-6X) from E(XY):

E(XY−6X) = E(XY) - E(-6X) = 10 - 30 = -20

Therefore, the value of E(XY−6X) is -20.

Learn more about value

brainly.com/question/30145972

#SPJ11

Answer:

Slope Intercept Form: y = \(\frac{1}{4}\) x + 1

Point Slope Form: y - 2 = \(\frac{1}{4}\) × (x - 4)

Standard Form: 1x - 4y = -4

Step-by-step explanation:

Answer:

\(y=\frac{1}{4} x+1\)

Step-by-step explanation:

A linear equation needs two pieces of information: the slope of the line, and its y-intercept. Since we are already given the slope we can plug that into the standard equation format:

y=mx+c, where m=slope and c=y-intercept

y=1/4x+c

Now we just need to find the y-intercept.

To find it we are given a point: (4,2), which we can use to trace back to the y-intercept using the slope. The slope of the line of 1/4. This means that the point before it is located 4 units to the left on the x intercept, and 1 unit lower on the y-intercept. Conveniently, this gives us our y-intercept, as the x values 4-4=0. The y value is 1 (2-1) so our y-intercept is 1!

So now we have our equation:

y=1/4x+1

Hope this helped!

Answer:

the answer is 104053.546

Answer:

Yes

Step-by-step explanation:

Answer:

yes you can make an isosceles triangle

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

Learn more about statistical process control here:

https://brainly.com/question/32323372

#SPJ11

The given system of equations has exactly one solution.

To determine the number of solutions, we can use Gaussian elimination or other methods to solve the system of equations. However, a simpler approach is to examine the coefficient matrix and its corresponding augmented matrix.

The coefficient matrix for the given system is:

1   2  -1

2  -1   1

2  -4   2

By performing row operations or using other methods, we can determine the row echelon form or reduced row echelon form of the augmented matrix.

When we perform row operations, we find that the third row is a linear combination of the first and second rows. This indicates that one equation in the system is redundant and does not provide new information. As a result, the system is consistent and has infinitely many solutions.

However, since we have a unique solution for a system of three equations with three variables, it implies that the given system has exactly one solution. Therefore, the correct answer is b) exactly one.

Learn more about three variables

brainly.com/question/30529942

#SPJ11

they biked 220 kil      

that is the answer

1. Maximum value: The maximum value of the function P = 20x - 5y + 64 is 184.00.

2. Minimum value: The minimum value of the function P = 20x - 5y + 64 is 44.00.

3. Values of x and y: The maximum value occurs at x = 6.00 and y = 0, while the minimum value occurs at x = 0 and y = 4.00.

To find the maximum and minimum values of the function P = 20x - 5y + 64, we need to consider the given constraints: 6x + 7y ≤ 42, 0 ≤ y ≤ 4, and 0 ≤ x ≤ 6.

These constraints represent a feasible region in the x-y plane.

To find the maximum value, we optimize the objective function P within this feasible region.

By evaluating the objective function at each corner point of the feasible region, we determine that the maximum value of P is 184.00, which occurs at x = 6.00 and y = 0.

Similarly, to find the minimum value, we evaluate the objective function at each corner point of the feasible region.

The minimum value of P is 44.00, which occurs at x = 0 and y = 4.00.

By considering the given constraints and evaluating the objective function at the corner points of the feasible region, we can determine the maximum and minimum values of the function P and the corresponding values of x and y.

Learn more about maximum and minimum values

brainly.com/question/29310649

#SPJ11

The length of the rectangular  playground is 241.86 foot.

Given that area of rectangle is 19,500 sq.ft and length of rectangle is three times its width.The area for rectangle is given by formula: A=LW.

Now according to the given condition, L= 3W. Further we'll solve by putting L= 3W in the formula for rectangle.

A=LW

As given A= 19,500 sq.ft and considering L=3W,

19,500 = 3W*W

19,500 = 3W^2

∴ W^2 = 6500

∴ W = \(\sqrt{6500}\)

∴ W = 80.6225 ft. ≈ 80.62 ft.

Now putting the value W = 80.62 in equation L =3W,

L = 3* 80.62

L = 241.86 ft.

The length of the rectangular playground is 241.86 foot.

To know more about calculation of length of rectangle, check out:

https://brainly.com/question/2607596

#SPJ4

Multiply number of notebooks by number of pages in each one.

17 x 95 = 1615

The answer is 1,615 total pages

Answer:

A. 1615

Step-by-step explanation:

Solve as shown:

17 books that each have 95 pages equals the total pages.

17(95)=?

17(95)=1615

The probability that you are caught in the rain without an umbrella is 2/9, or approximately 0.222.

Let's define the following events:

From the problem statement, we know that:

- P(R) = 1/3 (it rains one out of three days)

- P(~R) = 2/3

- P(F|R) = 2/3 (the forecast is correct two thirds of the time when it rains)

- P(~F|~R) = 2/3 (the forecast is correct two thirds of the time when it doesn't rain)

- P(F|~R) = 1/3 (the forecast is incorrect one third of the time when it doesn't rain)

- P(U|F) = 1 (you always take an umbrella if rain is forecasted)

- P(~U|~F) = 1 (you always don't take an umbrella if rain is not forecasted)

We want to find P(R, ~U), which means the probability that it rains and you don't take an umbrella. We can use the law of total probability and the Bayes' theorem to calculate it:

\(P(R, ~U) = P(R, ~U, F) + P(R, ~U, ~F)\)

  = P(F|R)P(R, ~U|F) + P(~F|R)P(R, ~U|~F)  (using the law of total probability)

  = P(F|R)P(~U|F)P(R|F) + P(~F|R)P(~U|~F)P(R|~F)  (using Bayes' theorem)

  = (2/3)(0)(1/3) + (1/3)(1)(2/3)  (substituting the given probabilities)

   = 2/9

Learn more about Probability

brainly.com/question/30034780

#SPJ11

The percentile of the student on that day is 14,995

The term percentile refers a term that describes how a score compares to other scores from the same set.

Here we have given that A health conscious student faithfully wears a device that tracks his steps. Suppose that the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1500 steps. One day he took 15,000 steps.

And we need to find the percentile on that day.

While we looking into the given question,

We know that following values,

Mean = 10,000

Standard deviation = 1500

Sample size = 15,000

In order to calculate the the percentile, we have to find the z score of the given data,

That is calculated as,

=> Z score = x - μ / σ

=> z score = (15000 - 10000)/1500

=>z score = 3.33333

Then the percentile is calculated by using the following formula,

=> Percentile=μ + (z ×σ)

=> Percentile = 10000 + (3.33 x 1500)

=> Percentile = 14,995

To know more about Standard deviation here.

https://brainly.com/question/16555520

#SPJ4