what is 24/30 written as a decimal

The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

The expression is given as:

(5.1)(5.12)4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1) * (5.1^8)

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1)^(1 + 8)

Evaluate the sum

(5.1)(5.1^2)^4 = (5.1)^9

Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

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Answer:

=

Step-by-step explanation:

Answer:

New point (x+6, y-4)

Step-by-step explanation:

Given:

Points = (x , y)

Mapping

6 units to the right

4 units down

Find:

New point

Computation:

On line X, numbers are add on move right side

So,

x+6

On line Y, numbers are subtract on move down

So,

y-4

New point (x+6, y-4)

Answer:

\( \huge \boxed{ \boxed{2}}\)

Step-by-step explanation:

\( \sf step - 1 : define\)

\( \sf\frac{ - 18}{ - 9} \)

\( \sf step - 2 : solve\)

The gradient vector field of function f(x,y) is given as follows:

grad(f(x,y)) = (1 + 3xy)e^(3xy) i + 3x²e^(3xy) j.

Suppose that we have a function defined as follows:

f(x,y).

The gradient function is defined considering the partial derivatives of function f(x,y), as follows:

grad(f(x,y)) = fx(x,y) i + fy(x,y) j.

In which:

The function in this problem is defined as follows:

f(x,y) = xe^(3xy).

Applying the product rule, the partial derivative relative to x is given as follows:

fx(x,y) = e^(3xy) + 3xye^(3xy) = (1 + 3xy)e^(3xy).

Applying the chain rule, the partial derivative relative to y is given as follows:

fy(x,y) = 3x²e^(3xy).

Hence the gradient vector field of the function is defined as follows:

grad(f(x,y)) = (1 + 3xy)e^(3xy) i + 3x²e^(3xy) j.

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Answer:

I gotten 17,686.98

Step-by-step explanation:

Hope that helps :)

Answer:

x = 48

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

156° is an exterior angle of the triangle, then

108 + x = 156 ( subtract 108 from both sides )

x = 48

Answer:

4

Step-by-step explanation:

Answer: Smug

Step-by-step explanation:

Smug = 0.19 + 0.13 + 0.21 + 0.07 = $0.60

S - 19

M - 13

U - 21

G - 7

Hope This Helped, Have A Great Day!​

The atomic number was increased hence a beta particle was emitted with a negative charge of -1.

We know that a nuclear reaction is one in which there is a change in the structure of the atom. In this case, a new atom is actually formed. We have to look at the equation that has been given in order to obtain the charge of the particle X.

Now we have;

43/19 K -----> 43/20 Ca + X

We can see that the atomic number was increased hence a beta particle was emitted with a negative charge.

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The expression for the extended stage is (LW - 216) / (12 - W)

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Rectangular stage.

Length = L

Width = W

New area = 216 + 12x

Now,

Assume,

The length has been extended.

So,

The new dimensions.

Length = (L + x)

Width = W

Area = (L + x) W

Area = LW + xW ______(2)

Now,

From (1) and (2),

216 + 12x = LW + xW

Solve for x.

216 + 12x = LW + xW

12x - xW = LW - 216

x ( 12 - W ) = LW - 216

x = (LW - 216) / (12 - W)

Thus,

The expression for the extended stage is  x = (LW - 216) / (12 - W)

Where L and W are the length and width.

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Answer: 40

Step-by-step explanation:

because I just had that on my math test and got it wrong

Answer:

bhhujnejnj

Step-by-step explanation:

Answer:

50.272  in^2

Step-by-step explanation:

Step one:

Given data

Circles are described using the diameter parameter

Diameter of the circle is 8 inches

radius = 4 inche= d/2

Step two:

The area of the circle is

A= πr^2

A= 3.142*4^2

A=3.142*16

A=50.272  in^2

Step-by-step explanation:

As angle BAD is a right angle (90°), angles BAC and CAD must sum up to 90°.

Therefore angle CAD = Angle BAD - Angle BAC

= 90° - (x + 20)°

= (70 - x)°

Hence the answer is G.

Answer:

24

Step-by-step explanation:

18×(18+14) = x × (x + 0)

"+ 0" because it is a tangent at that point, there is no more line left going through the circle.

576 = x²

x = 24

Answer:

72 y + 35 x

Step-by-step explanation:

Simplify the following:

(61 y + 38 x) - (-11 y + 3 x)

-(-11 y + 3 x) = 11 y - 3 x:

38 x + 61 y + 11 y - 3 x

Grouping like terms, 61 y + 11 y + 38 x - 3 x = (61 y + 11 y) + (38 x - 3 x):

(61 y + 11 y) + (38 x - 3 x)

61 y + 11 y = 72 y:

72 y + (38 x - 3 x)

38 x - 3 x = 35 x:

Answer: 72 y + 35 x

Answer:

120 students chose conserving natural resources

Step-by-step explanation:

40% of 300 chose conserving natural resources, to find the number, we have,

Number of students = 40%(300)

Number of students = (0.4)(300)

Number of students = 120

Hence, 120 students chose conserving natural resources

The system of equations has no solution. Option A is the correct optio.

What is the system of equations?

Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.

Given system of equations is

3x - 9y =0 .....(i)

-x + 3y = -3 .....(ii)

Multiply -3 with equation (ii)

3x - 9y = 9 .....(iii)

Subtract equation (i) from (iii):

3x - 9y = 9

3x - 9y =0

________

        0 = 9

Which is a false statement.

Thus the system of equations has no solution.

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Answer:

the answer is A. 0

The Coefficient of determination is the proportion of variability of the dependent and independent variable this statement is true.

The primary result of the regression analysis is the coefficient of determination because it indicates the percentage of variations in the dependent variable that can be accounted for by the independent variable.

The effectiveness of a statistical model in forecasting a result is indicated by the coefficient of determination \(R^2\). The dependent variable in the model is a representation of the result. \(R^2\) can have a minimum value of 0 and a maximum value of 1.

Researchers frequently rely on coefficient, also referred to as R-squared (or \(R^2\)), when performing trend analysis to determine how strong the linear relationship is between two variables.

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Answer:

95xhsshsjsjeeiejjejsjsjsjwnnsnsmsmmwwnsnnsns

By using partial derivative, the temperature at (2.5,6) is approximately 2.2 degrees Celsius cooler than at (3,5).

To find the partial derivative with respect to x, we treat t as a constant and differentiate T with respect to x:

∂T/∂x = -2

To find the partial derivative with respect to t, we treat x as a constant and differentiate T with respect to t:

∂T/∂t = 1.2

At (3,5), we know that ∂T/∂x = -2 and ∂T/∂t = 1.2. To find the differential dT at (3,5), we use the formula:

dT = (∂T/∂x)dx + (∂T/∂t)dt

At (3,5), dx = -0.5 (since we are moving 0.5 meters to the left from x=3 to x=2.5) and dt = 1 (since we are measuring the change over 1 minute). Substituting the values we know, we get:

dT = (-2)(-0.5) + (1.2)(1) = 2.2

Therefore, the temperature at (2.5,6) is approximately 2.2 degrees.

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Answer:

Dale would reach his goal with an annual interest rate of 6.18%.

Step-by-step explanation:

For compounding continuously, recall the following equation:

\(A = P(e)^{rt}\)

A = final amount ($4200)

P = principal amount ($2000)

r = rate (unknown)

t = time (12 years).

You'll have to use natural logs for these types of questions. Remember that ln (e) = 1.

See the work done in the attached file.

Hope this helps!

Answer:

a. True

Step-by-step explanation:

a. True

A cost that changes in total as output changes is indeed a variable cost. Variable costs are expenses that vary in direct proportion to the level of production or business activity. As output increases, variable costs increase, and as output decreases, variable costs decrease. Examples of variable costs include direct labor, raw materials, and sales commissions.

Answer:

1/32 and 1/64

p and v

Step-by-step explanation:

Answer:

a. 1/32 then 1/64

b. P then V

Step-by-step explanation:

A is multiplied by 2 every time.

While b is doubled every time as well.

In an experiment where a person eating at a cafeteria choose 4 out of the 19 vegetables on offer, the number of elements in the sample space is 3876.

A sample space of an experiment is the set of all possible outcomes of a random experiment. So the number of elements in a sample space is the total number of possible outcomes of  the experiment.

Here the experiment is choosing 4 vegetables from a set of 19 vegetables offered. The total number of ways to choose 4 out of 19 distinct vegetables = 19C4

= 19! / (4! × (19-4)!)

= 3876

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Answer: 4.15 degrees

Step-by-step explanation:

-6 + 6.5 + 3.9 - 4/25 = -6 + 6.5 + 3.9 - 0.25 = 4.15 degrees (assuming that the am in the fourth sentence is a typo)

A regular polygon with an interior angle of 172 degrees has 20 sides.

The formula to find the measure of an interior angle of a regular polygon is:

Interior angle = (n-2) x 180 / n

where n is the number of sides of the polygon.

Setting the equation equal to 172 and solving for n, we get:

172 = (n-2) x 180 / n

172n = 180n - 360

8n = 360

n = 45

Therefore, the regular polygon has 45 sides, but since the question asks for a regular polygon, all sides must be equal and all interior angles must be congruent. The only regular polygon that satisfies these conditions with an interior angle of 172 degrees is a regular 20-sided polygon.

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Answer:

Considering that back in the day, we were told that you should not drink a lot of water before exercising, I believe we went a very long way and now it is even encouraged, labels on food and drinks help us figure out what we are consuming and what is better for us, however we make that decision and it is offered to us for much cheaper now considering the dollar value worth today.

I am assuming you mean physical health.

Step-by-step explanation:

Answer:

There were 250 hamburgers sold on Saturday.

Step-by-step explanation:

∵ A local hamburger shop sold a combined total of 555 hamburgers

   and cheeseburgers on Saturday

→ Assume that the shop sold x hamburgers

∵ The shop sold x hamburgers

∵ There were 55 more cheeseburgers sold than hamburgers

→ That means the number of cheeseburgers is greater than the

    number of hamburger by 55

∴ The shop sold x + 55 cheeseburgers

∵ The shop sold 555 burgers

→ Add the two types of burgers and equate the sum by 555

∴ x + x + 55 = 555

∴ 2x + 55 = 555

→ Subtract 55 from both sides

∴ 2x + 55 - 55 = 555 - 55

∴ 2x = 500

→ Divide both sides by 2 to find x

∵ \(\frac{2x}{2}\) = \(\frac{500}{2}\)

∴ x = 250

∵ x represents the number of hamburgers

∴ There were 250 hamburgers sold on Saturday.