14. What is the perimeter of the rectangle, in centimeters (cm)?
(Perimeter = 2L + 2W).
15 cm
3 cm
A) 18 cm
B) 45 cm
C) 36 cm
OD) 270 cm

Answer:

1440 min

24 hours × 60 min

Answer:

5/7

Step-by-step explanation:

Answer:

slope=5/7

Step-by-step explanation:

y-y=m(x-x)

7-2=m(3+4)

5=m(7)

5/7=m

Answer:

Euler's formula states that for any polyhedron with V vertices, E edges, and F faces, we have:

V - E + F = 2

Let's verify this formula for the other four Platonic solids:

1. Cube:

A cube has 8 vertices, 12 edges, and 6 faces (all of which are squares).

So, we have:

V = 8

E = 12

F = 6

Plugging these values into Euler's formula, we get:

8 - 12 + 6 = 2

which is true, so Euler's formula works for a cube.

2. Octahedron:

An octahedron has 6 vertices, 12 edges, and 8 faces (all of which are equilateral triangles).

So, we have:

V = 6

E = 12

F = 8

Plugging these values into Euler's formula, we get:

6 - 12 + 8 = 2

which is true, so Euler's formula works for an octahedron.

3. Dodecahedron:

A dodecahedron has 20 vertices, 30 edges, and 12 faces (all of which are regular pentagons).

So, we have:

V = 20

E = 30

F = 12

Plugging these values into Euler's formula, we get:

20 - 30 + 12 = 2

which is true, so Euler's formula works for a dodecahedron.

4. Icosahedron:

An icosahedron has 12 vertices, 30 edges, and 20 faces (all of which are equilateral triangles).

So, we have:

V = 12

E = 30

F = 20

Plugging these values into Euler's formula, we get:

12 - 30 + 20 = 2

which is true, so Euler's formula works for an icosahedron.

Therefore, we have shown that Euler's formula works for all five Platonic solids.

Answer:

Step-by-step explanation:

Euler's formula states that for any polyhedron with V vertices, E edges, and F faces, we have:

V - E + F = 2

Let's verify this formula for the other four Platonic solids:

1. Cube:

A cube has 8 vertices, 12 edges, and 6 faces (all of which are squares).

So, we have:

V = 8

E = 12

F = 6

Plugging these values into Euler's formula, we get:

8 - 12 + 6 = 2

which is true, so Euler's formula works for a cube.

2. Octahedron:

An octahedron has 6 vertices, 12 edges, and 8 faces (all of which are equilateral triangles).

So, we have:

V = 6

E = 12

F = 8

Plugging these values into Euler's formula, we get:

6 - 12 + 8 = 2

which is true, so Euler's formula works for an octahedron.

3. Dodecahedron:

A dodecahedron has 20 vertices, 30 edges, and 12 faces (all of which are regular pentagons).

So, we have:

V = 20

E = 30

F = 12

Plugging these values into Euler's formula, we get:

20 - 30 + 12 = 2

which is true, so Euler's formula works for a dodecahedron.

4. Icosahedron:

An icosahedron has 12 vertices, 30 edges, and 20 faces (all of which are equilateral triangles).

So, we have:

V = 12

E = 30

F = 20

Plugging these values into Euler's formula, we get:

12 - 30 + 20 = 2

which is true, so Euler's formula works for an icosahedron.

Therefore, we have shown that Euler's formula works for all five Platonic solids.

Answer:

$23.22 per day.

Step-by-step explanation:

For a general function f(x), the average rate of change between A and B (when B > A) is:

\(r = \frac{f(B) - f(A)}{B - A}\)

In this case we know that the function is:

f(x) = 0.01*(2)^x

And we want to find the average rate of change from day 7 to day 14

Then if we use the above equation we get that the rate of change from day 7 to day 14 is:

\(r = \frac{0.01*(2)^{14} - 0.01*(2)^7}{14 - 7} = 23.22\)

Because this equation is in dollars, we can conclude that the average rate of change between day 7 and day 14 is $23.22 per day.

An average rate of change between A and B (where B>A) for a generic function \(f(x)\) is:

\(\to r=\frac{f(B)-f(A)}{B-A}\\\\\)

\(\to f(x) = 0.01\times (2)^x\)

\(\to r=\frac{0.01\times 2^{14} -0.01 \times 2^7}{14-7}=23.22\)

Since this equation is stated in dollars, we can calculate that the average rate of change between days 7 and 14 is \(\$23.22\) each day.

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No, you are supposed to do them at the same time. You need to go in whatever order they are in from left to right.

To determine the number of offspring with skin darker than their parents, we need more information about the specific genetic inheritance patterns and traits involved.

The answer depends on factors such as the dominance or recessiveness of genes controlling skin color, the genotype of the parents, and the specific combination of alleles passed on to the offspring.

Without additional information, it is not possible to provide an accurate count of the number of offspring with darker skin. Genetic inheritance is a complex process that involves multiple genes and interactions, making it necessary to consider specific genetic traits and their inheritance patterns to determine the outcome.

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Angle DEI is equal to the sum of angles DEF and EIG. therefore, the measure of DEI is  136°. The theorem used to solve this problem is the Angle Addition Postulate.

Based on the given information, we can determine the measure of angle EIG and angle EIH as follows:

Since IG ⊥ EG, we know that angle EIG is a right angle. Therefore, angle DEI is equal to the sum of angles DEF and EIG:

∠DEI = ∠DEF + ∠EIG = 46° + 90° = 136°

Similarly, since IH ⊥ EH, we know that angle EIH is a right angle.

The theorem used to solve this problem is the Angle Addition Postulate, which states that the measure of an angle formed by two adjacent angles is equal to the sum of the measures of the two adjacent angles.

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Answer:

A) 3.5

Step-by-step explanation:

                4.3t + 6.8 = 8.4t - 7.55

         Subtract 8.4t from both sides,

              4.3t - 8.4t +6.8 = -7.55

        Combine like terms,

                      -4.1t  + 6.8 = -7.55

                  To isolate 't' first subtract 6.8 from both sides.

                   -4.1t  = -7.55 - 6.8

                   -4.1t  = -14.35

                Divide both sides by (-4.1)

                      t = -14.35 ÷ (-4.1)

                      t =  3.5

Answer:

-41

Step-by-step explanation:

13 - (54) simplifies to 13 - 54, which in turn is -41.

The average rate of change is 0.8

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

Given:

x     f(x)

5       13

10      17

15      21

20     25

As, The rate of change of the function is its gradient or slope.

So, the formula for calculating the gradient of a function is expressed as:

m = \((y_2 - y_1)/ (x_2 - x_1)\)

Using the coordinate points from the table (5, 13) and (10, 17)

Substitute the coordinate into the expression:

m = (17- 13)/ (10 - 5)

m = 4 /5

m = 0.8

Hence, the average rate of change is 0.8.

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Answer:

- 2864

Step-by-step explanation:

Given that,

The number is of 4 digits

All are different

The sum of the 4 digits = 20

Hundred's digit is twice than one's digit

A.T.Q.

Let the unit digit be 4. So, the hundred's digit would be 4 * 2 = 8

Now, we have

_8_4

We know that the sum of four digits is 20. Thus,

_ + 8 + _ + 4 = 20

∵ _ + _ = 20 - 12 = 8

The possible numbers must make a sum of 8. Thus, one possibility can be 2 and 6.

Therefore, the number can be

2864  

( 2 + 8 + 6 + 4 = 20)

The product is given as 6y²√10 +12√5y. Option A

It is important to know that algebraic expressions are defined as expressions that are made up of terms, variables, constants and factors.

From the information given, we have that;

3√10 (y²√4 + √8y)

Substitute the value√4 with 2

3√10(y²×2 +√8y)

Substitute √8y with 2√2y

3√10(2y²+2√2y)

Expand the bracket, we get;

3×2y²√10 + 3×2×√10×√2y

Multiply the value, we get;

6y²√10 + 6√20y

simplify √20y to 2√5y

6y²√10 + 6 × 2√5y

Multiply the values, then add the product of the separate expressions, we get;

6y²√10 +12√5y

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The complete question:

What is the following product? Assume y greater-than-or-equal-to 0

3 StartRoot 10 EndRoot (y squared StartRoot 4 EndRoot + StartRoot 8 y EndRoot)

A. 6 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

B. 6 StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

C. 6 y squared StartRoot 10 EndRoot + 4 StartRoot 5 y EndRoot

D. 3 y squared StartRoot 10 EndRoot + 12 StartRoot 5 y EndRoot

Given differential equation is;x′−13g=x−3To find the general solution of the given system of differential equations.We first find the homogeneous solution of the differential equation by neglecting the constant term which is -3.

So, the given differential equation becomes;x′−13g=x

For finding the homogeneous solution, we assume that x(t) can be expressed in terms of exponential functions.

So, we have;x(t) = ce^{mt}

Now, substitute the above value in the given differential equation;x′−13g

=xmce^{mt}−13gcce^{mt}

= mce^{mt}m−13g

=0m

= 13g

Hence, the homogeneous solution is;x_h(t) = ce^{13gt}

Now, we have to find the particular solution to the differential equation with constant term (-3)

.Let the particular solution be of the form;x_p(t) = k

From the given differential equation;x′−13g=x−3x_p′−13g(x_p)

= x−3k′−13gk

= x−3

Equating coefficients of k on both sides;13gk = −313

g = −1

k = 3

Therefore, the particular solution is;x_p(t) = 3

The general solution of the given system of differential equation is;

x(t) = x_h(t) + x_p(t)x(t)

= ce^{13gt}+3Where c is a constant.

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Answer:

6 ounces of oil

Step-by-step explanation:

Well the first salad dressing is probably 8 ounces because 2+6 = 8

Then we must find out how large this recipe compares to the original

24/8 = 3

So we need all the ingredients to be tripled to keep the same ratio of 2:6

The new dressing has 2*3 ounces of oil and 6*3 ounces of vinegar

which equals 6 ounces of oil and 18 ounces of vinegar.

Hope this helps!

(pls mark brainliest)

Answer:

m<1 = 159° m<2 = 21° m<4 = 21°

Step-by-step explanation:

Since angle measure 3 was found, seeing that 3 and 1 are vertical angles (congruent) they equal the same, meaning angle measure 1 is also 159°. Also seeing that angle measure 3 and 2 are supplementary angles (2 or more angles that add up to 180°) subtracting 159° will give you 21°. Once again there are another set of verital angles, 2 and 4 making 4 also 21°

Answer:

-20

Step-by-step explanation:

-5-5-5-5=-20

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

An algebraic expression to represent the perimeter of the isosceles triangle with base length x - 10 and legs of length x is equal to y = 3x -10.

As given,

In isosceles triangle

Base length=x - 10

Length of the legs=x

Let y be perimeter of the triangle

Algebraic expression is

Perimeter of isosceles triangle =sum of all the legs length

⇒y=x - 10 +x + x

⇒y=3x -10

Therefore, an algebraic expression to represent the perimeter of the isosceles triangle with base length x - 10 and legs of length x is equal to

y = 3x -10.

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Answer:

(3, -5)!

Hope this helps! :D

The cost of the labor per hour is 115 hours.

The equation is going to be:

4.25x + 167 = 655.75

your x is going to be:115

The duration was 4.25 hours.

The parts cost 167.

Cost in full: 655.75

so the price per hour is x.

As a result, when you write your equation, the total number of hours (multiplied by the cost per hour) will be added to the cost of the parts, and the sum of these two amounts will be your total cost.

In order to solve the problem, you must deduct the cost of each component from the total cost. This should give you the following result: 4.25x = 488.75

After that, divide 4.25 by each side as you normally would.

The cost of labor per hour follows. 115

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An effective indicator for assessing retail store efficiency, spotting market trends, and making strategic business decisions is annual earnings per employee for profits.

The retail sales industry's annual profits per employee are shown in the data. The data's mean or median is most likely about $4,000,000, according to the assumption. You may compare the productivity of several retail stores by looking at the annual profits per employee. Businesses that generate more annual earnings per employee are typically more productive than those that do not.

The information can also be utilized to spot patterns in the retail sector, such as which businesses are operating better than others. For instance, if a business has been steadily increasing its annual profit per employee, it can be a sign that it is growing or streamlining its operations. In contrast, a business with declining annual profits per employee might be having trouble or seeing a drop in the demand for its goods.

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Answer:

30%

Step-by-step explanation:

\(\lim \limits_{x \to2} \frac{ {x}^{2} - 4 }{x - 2} \\ = \lim \limits_{x \to2} \frac{ {(x)}^{2} - {(2)}^{2} }{x - 2} \\ = \lim \limits_{x \to2} \frac{ ( x- 2)(x + 2) }{x - 2} \\ = \lim \limits_{x \to2} ( x+ 2) \\ = 2 + 2 \\ = 4\)

Answer:

4

Hope you could understand.

If you have any query, feel free to ask.

Answer:

The limit of the function as x approaches 2 is 4.

Step-by-step explanation:

This function just simplifies to \(x+2\):

\(\frac{x^2-4}{x-2}\\\\\frac{(x+2)(x-2)}{x-2}\\\\x+2\)

That leaves us with this:

​\(\lim_{x\to2}x+2\)

This is a simple linear function that can be evaluated at \(x=2\):

\(f(x)=x+2\\f(2)=2+2\\f(2)=4\)

The values also exist on either side of this point.

\(f(1.999)=3.999\\f(2.001)=4.001\)

Answer:

B

Step-by-step explanation:

The graph will shrink horizontally by 1/3 factor so option (B) must be correct.

A certain kind of relationship called a function binds inputs to essentially one output.

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given that,

Function = f(x)

Operation = f(3x)

By doing operation inside a function or in a dependent variable, it will cause the shrink of the horizontal aspect of the graph.

So by doing that operation graph will shrink horizontally by a factor of 1/3.

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The equation that could be represented by the number line is 1+ (-7) = -6. Option A. is the answer

A number line is a line on which numbers are marked at intervals, which is used for illustrating simple numerical operations

Looking at the number line in the image, the arrow from right to left (backward) by 7 steps (-7).

Thus, the equation can be written as 1 + (-7) = -6

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The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

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"The given statement is False." The wheels on an automobile are not classified as a variable cost with respect to the volume of cars produced in an automobile assembly plant.

The statement is incorrect. The wheels on an automobile are not typically classified as a variable cost with respect to the volume of cars produced in an automobile assembly plant.

Variable costs are costs that vary in direct proportion to the level of production or activity. They increase or decrease as the volume of production changes.

Examples of variable costs in automobile manufacturing would include items such as raw materials, direct labor, and electricity costs.

On the other hand, the cost of wheels for an automobile assembly plant would typically be considered a fixed cost. Fixed costs are costs that do not vary with the level of production. These costs remain constant regardless of the number of cars produced.

Fixed costs in automobile manufacturing may include expenses like the purchase or lease of manufacturing equipment, facility rental, and salaries of administrative staff.

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The probability of the event R occurring is 0.25 (rounded to three decimal places). We have used the formula for independent events to calculate the occurrence probability of event R.

In probability theory, independent events are those whose occurrence probabilities are independent of each other. In other words, the occurrence probability of one event does not affect the probability of the occurrence of the other event.

This property of independence is used to calculate the occurrence probabilities of the events. In this question, we are given that Q and R are independent events.

Also, we are given that P(Q) = 0.4 and P(Q ∩ R) = 0.1.

Using these values, we need to calculate P(R).

To solve this problem, we use the formula for independent events. That is:

P(Q ∩ R) = P(Q) × P(R)

We know the values of P(Q) and P(Q ∩ R).

We substitute these values in the above formula and get the value of P(R).

Finally, we get:

P(R) = 0.1 / 0.4

P(R) = 0.25

Therefore, the probability of event R occurring is 0.25. This means that the occurrence probability of event R is independent of event Q. The solution for this question is very straightforward and can be easily calculated using the formula for independent events. We can conclude that if two events are independent of each other, their occurrence probabilities can be calculated separately.

The probability of the event R occurring is 0.25 (rounded to three decimal places). We have used the formula for independent events to calculate the occurrence probability of event R. This formula helps us to calculate the probability of independent events separately.

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Answer:

I hope this helps please name me brainliest

Step-by-step explanation:

Al-Fatihah is an Islamic prayer recited during the five daily prayers. Comparing radio and television in reading Al-Fatihah from its beginning requires an analysis of how each medium conveys the prayer to its audience. Radio precedes television in reading Al-Fatihah from its beginning.

This is because radio broadcasting began in the early 1900s while television broadcasting began in the late 1940s.

This delay can range from a few seconds to a few minutes depending on several factors such as the geographical location of the audience, the strength of the signal, and the quality of the receiver. Therefore, the time difference between radio and television in reading Al-Fatihah can vary depending on the factors mentioned above.

Mathematically, the time difference between radio and television can be calculated using the formula: d = s / tWhere d is the distance between the transmitter and the receiver, s is the speed of the signal, and t is the time it takes for the signal to reach the receiver.

In this case, d is the distance between the broadcasting station and the audience, s is the speed of the signal which is constant (i.e., the speed of light), and t is the time it takes for the signal to reach the audience. Since the speed of light is approximately 299,792,458 m/s, the time it takes for the signal to reach the audience can be calculated using the following formula:t = d / s

Therefore, the time difference between radio and television in reading Al-Fatihah can be calculated by subtracting the time it takes for the radio signal to reach its audience from the time it takes for the television signal to reach its audience. This difference can range from a few milliseconds to a few minutes depending on the factors mentioned above.

In network concepts, the time difference between radio and television in reading Al-Fatihah can be affected by the bandwidth of the network. The bandwidth is the amount of data that can be transmitted over a network in a given time. If the bandwidth is low, it can cause a delay in the transmission of the signal which can affect the time difference between radio and television.

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