During a storm, an apartment building lost power for 26 hours. For how many
seconds was the power out?
A 3744 seconds
B. 156 seconds
C. 6400 seconds
D. 9360 seconds

By solving a positive number over a variable (or vice versa) both raised to a negative power  ,The simplified expression is \(\frac{8}{x^{3} }\).

To solve an expression with a positive number over a variable, both raised to a negative power, you should follow these steps:

1. Identify the base and exponent: In your example, the base is (x/2) and the exponent is -3.

2. Apply the negative exponent rule: When an expression with a negative exponent is raised to a power, you can rewrite it with a positive exponent by taking the reciprocal of the base.

The negative exponent rule states that \(a^{-n}\) = 1/(\(a^{n}\)), where 'a' is the base and 'n' is the exponent.

3. In your example, apply the negative exponent rule to \((x/2)^{-3}\) This becomes 1/(\((x/2)^{-3}\)).

4. Simplify the expression: Raise the base (x/2) to the power of 3. Remember that when you raise a fraction to an exponent, you should raise both the numerator and denominator to that exponent. So, \((x/2)^{-3}\) = (\(X^{3}\))/(\(2^{3}\)) =\(\frac{x^{3}}{8 }\)

5. Substitute the simplified expression back into the original equation: 1/((\((x/2)^{3}\)) = 1/(\(\frac{x^{3}}{8 }\)).

6. To further simplify, remember that dividing by a fraction is equivalent to multiplying by its reciprocal. So, 1/(\(\frac{x^{3}}{8 }\)) = 1 * (\(\frac{8}{x^{3} }\)) = \(\frac{8}{x^{3} }\).

The simplified expression is \(\frac{8}{x^{3} }\). This is how you solve an expression with a positive number over a variable, both raised to a negative power.

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Answer:

I think It is C or A

Step-by-step explanation:

Answer:

def

Step-by-step explanation:

Considering the given system of equations, it is found that:

\(|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|\)

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the system is:

-8x+y=-6

3x-2y=-1

In matrix form, it is given by:

\(\left[\begin{array}{cc}-8&1\\3&-2\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-6\\-1\end{array}\right]\)

To find the matrix |Ay|, we replace the y coefficients of 1 and -2 by the results of -6 and -1, hence:

\(|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|\)

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Answer:

C. (-8 -6 3 -1)

Step-by-step explanation:

EDG

Step-by-step explanation:

To find the factor by which the dimensions of cylinder A were multiplied to produce the corresponding dimensions of cylinder B, we can use the fact that they are similar solids. This means that the ratio of corresponding dimensions is the same for both cylinders.

Since the base of cylinder A has a circumference of 4π units and the base of cylinder B has an area of 9π units, we can use these measurements to find the ratio of the radii of the two cylinders.

The circumference of a circle is given by 2πr, where r is the radius, so the radius of cylinder A is 4π/2π = 2 units.

The area of a circle is given by πr^2, so the radius of cylinder B is sqrt(9π/π) = sqrt(9) = 3 units.

The ratio of the radius of cylinder A to cylinder B is 2/3. Since similar solids have the same ratio for all dimensions, this means that the dimensions of cylinder A were multiplied by a factor of 2/3 to produce the corresponding dimensions of cylinder B.

Answer:

the answer is C .............

Answer: Using the similar triangles property, we can set up the following equation:

h/20 = (h+70)/28

Solving for h, we get:

h = 280/9

h is approximately equal to 31.1 cm.

Step-by-step explanation:

The rectangle has its length = 5.4721 cm and width = 6.4721 cm. Its perimeter is 22.9442 cm.

We shall represent the length with the letter x and the width with the letter y so that we have two equations for the square as follows;

x - 1 = y - 2... (1)

and;

(x - 1)(y - 2) = 20 cm²... (2)

From equation (1)

x = y - 1

substituting y - 1 for x in equation (2), we have;

(y - 1 - 1)(y - 2) = 20 cm²

(y - 2)(y - 2) = 20 cm²

(y - 2)² = 20 cm² {take square root of both sides}

y - 2 = 4.4721 cm

y = 4.4721 cm + 2 {add 2 to both sides}

y = 6.4721 cm

substituting 6.4721 cm for y in the equation; x = y - 1

x = 6.4721 - 1

x = 5.4721

perimeter of rectangle = 2(5.4721 + 6.4721) cm

perimeter of rectangle = 2(11.4721) cm

perimeter of rectangle = 22.9442 cm

In conclusion, we have the length and width of the rectangle as 5.4721 cm and 6.4721 cm respectively, and its perimeter is 22.9442 cm.

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The expression for the mass of the bacteria is m(t) = \(7*2^t\)

to verify the expression we have to evalaute the value of m(t) at different values of t

so m(0) = 7 * 2^0 =7

 m(1) = 7* 2^1 =2* 7 =14

m(2)= 7 * 2^2 =28

m(3) = 7*2 ^3 = 56

we can observe here that every next hour the population of bacteria increases than that of its previous hour

so m(t) = 7 * 2^t is correct expression of the equation

since we have verify the expression for certain value of t i.e 0 ,1 ,2, 3

now we need to find it for any value of t

so the population at t  hours  = 7 * 2^t

population at t-1 hours  is = 7 * 2^(t-1)

so growth rate = \(\frac{m(t)}{m(t-1)} = \frac{ 7* 2^t}{ 7 * 2^(t-1)} = 2\)

so growth rate = 2 which is given in the question , so the above equation satisfies the question conditon

so , m(t) = \(7*2^t\)

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We can see the next function:

And we need to translate this function 5 units down, which results in the function g(x).

To find the rule for g(x), we can follow the next steps:

1. We know that the general rule for a function translated k units down is given by:

2. Then if we translate the original function by 5 units down, we will have that:

3. Therefore, g(x) will be:

Hence, in summary, we have that the rule for g(x) is g(x) = 3x + 4 (option A).

Answer:

its A 7.51

Step-by-step explanation:

Let's begin by identifying key information given to us:

Answer:

14 inches

Step-by-step explanation:

circumference= pi times diameter

43.96inches= 3.14 times diameter

you can use backwards so, diameter=43.96/3.14

then you may divide then you can get the 14 inches answer as diameter

Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

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Answer:

Nets of rectangular prisms are made up of rectangles and squares. Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

Step-by-step explanation:

Answer:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Step-by-step explanation:

This is edges sample resopnse

Answer:

THIS IS AMAZING!!FOWARD THIS ANWSER TO FIVE PEOPLE AND WHITHIN 3 MINUTES NOTHING WILL HAPPEN!!!!!!TRIED IT TWICE AND IT WORKED BOTH TIMES>NOTHING HAPPENED!!!PASS THIS ON, MORE PPL NEED THIS!!!!

Step-by-step explanation:

The value of the angle is 16. 6 degrees

To determine the value, we need to know the use the Pythagorean theorem which states that the square of the longest side of a triangle is equal to the sum of the squares of the other two sides.

From the information given, we have that;

y² = 12² + 6²

Find the square

y² = 144 + 36

y = √ 180

y = 13. 4cm

Then, using the tangent identity, we have;

tan θ = opposite/adjacent

substitute the values

tan x = 4/13. 4

Divide the values

tan x = 0. 2985

Find the tangent inverse

x = 16. 6 degrees

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Every day, Carlin laughs 600 times as a result of comic shows. The right response in this case is option A.

Carlin chuckles five times a minute while doing a comic routine.

She watches a total of 3 programs.

Each presentation runs for 40 minutes.

The total length of the shows = (Total shows she watches) x (Length of each show)

=  3 x 40 units = 120 units

The number of times a day that comic shows make Carlin chuckle = (Total length of the shows) x  (Number of times she laughs in one minute )

= 120 x 5

= 600

Carlin consequently laughs 600 times every day as a result of comic shows.

Complete question:

During each minute of a comedy show, Carlin laughs 5 times. Carlin watches 3 comedy shows every day, and each show is 40 minutes long. How many times does Carlin laugh every day due to the comedy shows?

A - 600

B - 700

C - 800

D - 900

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Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

Answer:

the answer is 69.3

Step-by-step explanation:

The answer it's 95o UwU

Answer: 29.5

Step-by-step explanation:

The measure of arc:

16: m FE = 100 degree

17: mBC = 50 degree

18: mCE = 130 degree

19: mCFE = 230 degree

In  the figure,

mFE = ∠FGE = 100 degree

mBC = ∠AGB = 50 degree

Now,

mCE  = mCD +mDE

         =  90 + (180 - mBC - mCD)

         =  90 + ( 180 - 90 - 50)

         = 130 degree

And mAF = 180 - mAB - mFE

                =  180 - 50 - 100

                = 30 degree

Now,

mCFE = 50+50+30+100

          = 230 degree

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Answer:

(9,5)

Step-by-step explanation:

10+8/2=18/2=9

6+4/2=10/2=5

The value of r2 for the model containing independent variables x3, x4, and x6 is closest to 1.0.

To determine the value of r² for a model containing independent variables x3, x4, and x6, you first need to understand what r² represents. R², also known as the coefficient of determination, is a statistical measure that represents the proportion of the variance in the dependent variable that is predictable from the independent variables in the model. In simpler terms, it indicates how well the independent variables (x3, x4, x6) explain the variation in the dependent variable.

Now, let's discuss how to find the value of r² step-by-step:

Step 1: Gather data for the independent variables (x3, x4, x6) and the dependent variable.

Step 2: Run a multiple regression analysis using software or statistical tools that include x3, x4, and x6 as independent variables. The regression analysis will provide you with the necessary statistics, including r².

Step 3: Examine the output of the regression analysis. The r² value will be provided, usually in the range of 0 to 1. A value of 1 indicates a perfect fit, meaning the independent variables perfectly predict the dependent variable. A value of 0 indicates no predictive power, meaning the independent variables do not help in explaining the variation in the dependent variable.

Without the specific data for the variables, I cannot provide you with the exact value of r² for the model containing x3, x4, and x6. However, by following these steps and using appropriate statistical tools, you can calculate the r² value for your model, which will give you an idea of how well the independent variables explain the variation in the dependent variable.

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The value of the square root of 64 is -8

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.

The square root of a number is the values that will can multiply twice to give the resulting value in the root.

Given the expression below:

- √64

Since the square root of 64 is 8, hence;

-√64 = -1 * √64

-√64 = -8

Hence the value of the square root of 64 is -8

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Answer:

Step-by-step explanation:

x+5y=-27

-2x-5y=24

If the signs are the same u minus if they are different u add

So they are different were gonna add

x+5y=-27

-2x-5y=24

-1=-3

You cant divide it further x=-3

Next were gonna subsitute in any equation

x(-3)+5y=-27

-3+5y=-27

+3 to -27

-7+3=-24

5y=24

24/5=4.8 y=4.8

I hope this helps.

Measure of angle:

∠A  = 36.86°

∠B = 90°

∠C = 53.13 °

Measure of side ,

AB =  28

BC = 21

CA = 35

Given triangle ABC.

Right angled at B.

Now, using trigonometric ratios to find angle A , B , C .

Right angled at B : ∠B = 90°

Angle A,

SinA = 21/35

∠A = 36.86

Angle C,

SinC = 28/35

∠C = 53.13

Now measures of side.

To find the length of side use sine rule .

Sine rule:

a/sinA = b/sinB = c /sinC

a = opposite side of angle A .

b = opposite site of angle B .

c = opposite side of angle C.

AB = 28

BC = 21

CA = 35

Hence the sides and angles of the triangles are measured .

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The false statement is C. x < 2 implies that x ≥ 2. This can be answered by the concept of Number system.

Let's break down each statement:

A. x = 2 implies x ≤ 2: This statement is true. If x is equal to 2, then x is certainly less than or equal to 2.

B. x < 2 implies that x ≤ 2: This statement is true. If x is strictly less than 2, then x is also less than or equal to 2.

C. x < 2 implies that x ≥ 2: This statement is false. If x is strictly less than 2, then it cannot be greater than or equal to 2 at the same time. This is a contradictory statement.

D. x = 2 implies that x ≥ 2: This statement is true. If x is equal to 2, then x is certainly greater than or equal to 2.

Therefore, the false statement is C. x < 2 implies that x ≥ 2.

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