B
Smart Phone, but Is It a Smart Deal?
You have your eye on an upgraded smart phone.
However, you currently do not have the money to
purchase it. Your cousin will provide the funding, as
long as you pay him back with interest. He tells
you
you only need to pay $1 in interest initially, and then the
interest will double each week after that. You consider
his offer and wonder if this really is a good deal.
that
- What is the Independent quantity?
- What is the Dependent quantity?

The width of the rectangle, x is 2.76 cm

Given,

The area of a rectangle = 17.6 square centimeters

Length of the rectangle = 2.3x

Width of the rectangle = x

We have to find the value of x.

Here,

Area of rectangle = length × width

Then,

17.6 = 2.3x × x

17.6 = 2.3x²

x² = 17.6/2.3

x² = 7.65

x = √7.65

x = 2.76

Now,

Width of the rectangle =  2.76 cm

Length of the rectangle = 2.76 × 2.3 = 6.35 cm

Therefore,

The value of x, that is the width of the rectangle is 2.76 cm

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Answer:

y = -1x - 7

Step-by-step explanation:

y2 - y1 / x2 - x1

-6 - (-3) / -1 - (-4)

-3/3

= -1

y = -1x + b

-6 = -1(-1) + b

-6 = 1 + b

-7 = b

Answer:

Step-by-step explanation:

The answer is C because t = 2 so 75x2=150 and 150 + 10= 160.

Answer:

I need the picture

Step-by-step explanation:

wheres the picture my guy

Answer:

you never posted the number so we can't put it into a fraction.

7.  \(a2(a2)(a6)\)  is a monomial.

8. \(x(x2)(x2)(x7)\)  is a monomial.

9. \((y2z)(yz2)\) is a monomial.

10. (e² k²) (e³k) is a monomial.

11. (a²b⁴)(a²b¹) is a monomial.

12. (cd²)(c3d2) is a monomial.

13. (2x²)(3x⁵)  is a monomial.

14. (5a⁷)(a²b³) is a monomial.

15. (4xy³)(3x³y⁵) is a monomial.

16. (7a⁵b²)(a²b³) is a monomial.

17. (-5m³)(3m⁸) is a monomial.

18. (-2c⁴d)(-4cd) is a monomial.

19. (10²)³ is a monomial.

20. (P³)¹²  It is a monomial.

22. (-3y³) is a monomial.

A polynomial with only one term is called a monomial. An algebraic expression known as a monomial typically has one term, but it can also include several variables and a higher degree.

7. \(a2(a2)(a6)\)

    \(\\= a2+2+2+6 \\= a12\)

Yes. It is a monomial.

8. \(x(x2)(x2)(x7)\)

    \(= x1+2+2+7 \\= x12\)

Yes. It is a monomial.

9. \((y2z)(yz2)\)

   \(= y2+1 z1+2 \\= y3z2\)

Yes. It is a monomial.

10. (e² k²) (e³k)

   = (e2+3) (k2+1)

   = e5k3

Yes. It is a monomial.

11. (a²b⁴)(a²b¹)

   = a2+2 b4+1

   = a4b5

Yes. It is a monomial.

12. (cd²)(c3d2)

   = c1+3 d2+2

   = c4d4

Yes. It is a monomial.

13. (2x²)(3x⁵)

    = 2×3 x2+5

     = 6x7

Yes. It is a monomial.

14. (5a⁷)(a²b³)

    = 5a7+2b3

     = 5a9b3

Yes. It is a monomial.

15. (4xy³)(3x³y⁵)

    = 4×3 x1+3 y3+5

      = 12x4y8

Yes. It is a monomial.

16. (7a⁵b²)(a²b³)

   = 7a5+2 b2+3

    = 7a7b5

Yes. It is a monomial.

17. (-5m³)(3m⁸)

   = -5×3 m3+8

   = -15m11

Yes. It is a monomial.

18. (-2c⁴d)(-4cd)

    = 2×4 c4+1 d1+1

   = 8c5d2

Yes. It is a monomial.

19. (10²)³

   = \(10^6\)

Yes. It is a monomial.

20. (P³)¹²

   = \(P^{36}\)

Yes. It is a monomial.

22. (-3y³)

   = -3y3.

Yes. It is a monomial.

23. (3pr²)²

   = 9p²r4

Yes. It is a monomial.

24. (2b³c⁴)²

   = 4b6c8.

Yes. It is a monomial.

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Answer:

The slope is -2

Step-by-step explanation:

Given info:There is a favourite sport and number of people watching and participating in the colony is given.

Draw the double bar graph for the data ?

Explanation:

See the attachment

Number of people watching cricket = 1240

Number of people participating cricket =620

Number of people watching Basket ball =470

Number of people participating Baskets ball=320

Number of people watching Swimming =510

Number of people participating Swimming= 320

Number of people watching Hockey=430

Number of people participating Hockey =250

Number of people watching Athletics =250

Number of people participating Athletics =105

Scale:-

On X - axis taking favourite sport

On Y-axis taking Number of people in the colony

First bar represents Watching

Second bar represents Participating

On Y-axis 1 cm = 100 units

(i)

⇛The number of people who are watching and participating in their favourite sport.

(ii)

⇛Cricket is the most popular of all other sports .

⇛It has the most watching people and the more participants

(iii)

⇛Watching is more preferred than Participating according to the given data of the colony.

Bar graph:-

⟨Hope this helps.⟩

Answer:

the answer is D. 40

Step-by-step explanation:

Answer: A) 18x +15

Step-by-step explanation:

First distribute

20x + 15 - 2x

Then combine like terms

18x + 15

Answer:

A. 18x + 15

Step-by-step explanation:

5(4x + 3) - 2x

20x + 15 - 2x  --> Distributive Property

18x + 15 --> Combine Like Terms (C.L.T)

The question is incomplete. Here is the complete question.

Raoul measured the ehight of 12 different plants in his garden in April. He measured them again in June.

April Heights (in inches) 12 15 23 11 42 45 44 39 12 19 20 12

June Heights (in inches) 45 45 40 43 11 14 12 13 41 40 45 41

What is the difference between the mean height in April and the mean height in June?

Answer: The difference between means is 8.0

Step-by-step explanation: Mean is the average of a set of numbers.

It is calculated as:

\(\mu=\frac{\Sigma x}{n}\)

where

x is the numbers in the set

n is how many numbers are there in the set

For heights in April, the mean is:

\(\mu_{1}=\frac{12+15+23+11+42+45+44+39+12+19+20+12}{12}\)

μ₁ = 24.5

For heights in June, the mean os:

\(\mu_{2}=\frac{45+45+40+43+11+14+12+13+41+40+45+41}{12}\)

μ₂ = 32.5

The difference between means:

μ₂ - μ₁ = 32.5 - 24.5 = 8.0

The difference between the mean height in April and in June is 8.0 inches.

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -2 -4}{2}~~~ ,~~~ \cfrac{ 2 + 4}{2} \right)\implies \left( \cfrac{-6}{2}~~,~~\cfrac{6}{2} \right)\implies (-3~~,~~3)\)

The notation p(z < a) represents the probability that a standard normal random variable is less than a. This can be found using a standard normal distribution table or a calculator that provides a normal distribution function.

The probability that a standard normal random variable is less than a can also be expressed as P(Z < a), where Z is a standard normal random variable.

The probability that a standard normal random variable is greater than a can be found using the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring. Therefore, P(Z > a) = 1 - P(Z < a).

The probability that a standard normal random variable is equal to a is zero, as the standard normal distribution is continuous and has an infinite number of possible values.

The probability that a standard normal random variable is not equal to a can be found using the complement rule again. P(Z ≠ a) = 1 - P(Z = a), where P(Z = a) = 0 (as mentioned above). Therefore, P(Z ≠ a) = 1.

Let's break down each part of your question and provide an explanation for each term:

a. The notation p(z < a) refers to the probability that a standard normal random variable (Z) is less than a certain value (a). In a standard normal distribution (with a mean of 0 and standard deviation of 1), this represents the area under the curve to the left of the value 'a'. To find this probability, you can refer to a standard normal table or use a calculator with a normal distribution function.

b. The probability that a standard normal random variable is greater than a (p(z > a)) can be calculated by subtracting the probability that the variable is less than a from 1 (since the total probability is always 1): p(z > a) = 1 - p(z < a).

c. In a continuous probability distribution like the standard normal distribution, the probability that a standard normal random variable is equal to a specific value (p(z = a)) is always 0. This is because there are an infinite number of possible values, and the probability associated with each individual value is negligible.

d. The probability that a standard normal random variable is not equal to a (p(z ≠ a)) is essentially the complement of the probability that it is equal to a. Since p(z = a) is 0 in a continuous distribution, the probability that the variable is not equal to a is 1: p(z ≠ a) = 1.

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You can find the coefficient of variation for your data set using a TI-84 calculator by following the below steps.

To find the coefficient of variation (CV) using a TI-84 calculator, follow these steps:

1. Enter the data set values into a list on your calculator. For example, if your data is stored in the list L1, enter the values into L1.

2. Calculate the mean of the data set using the calculator's statistical functions. Press the [STAT] button and navigate to the "Calc" menu. Choose the appropriate mean function (e.g., "1-Var Stats" or "mean") and select the list that contains your data (e.g., L1).

3. Calculate the standard deviation of the data set using the calculator's statistical functions. Press the [STAT] button, navigate to the "Calc" menu, and choose the appropriate standard deviation function (e.g., "1-Var Stats" or "stdDev"). Select the list containing your data (e.g., L1).

4. Divide the standard deviation by the mean and multiply by 100 to calculate the coefficient of variation. Store the standard deviation and mean values in variables if necessary. Use the formula CV = (stdDev / mean) * 100 to calculate the coefficient of variation.

By following these steps, you can find the coefficient of variation for your data set using a TI-84 calculator.

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To find the coefficient of variation on a TI-84 Plus calculator, enter the dataset into a list, calculate the mean and standard deviation, and then divide the standard deviation by the mean and multiply by 100.

To find the coefficient of variation on a TI-84 Plus calculator, follow these steps:

By following these steps, you can find the coefficient of variation for a dataset using a TI-84 Plus calculator.

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   "

Answer:

9

Step-by-step explanation:

2 times 3 = 6

6+3=9

The equation k(x) = x^2 is quadratic equation, and the value of n in p (x) = k (x) + n is -6

The equations are given as:

k(x) = x^2

p (x) = k (x) + n

From the graph, we can see that the graph of k(x) is shifted down by 6 units.

This means that the equation of p(x) is

p (x) = k (x) - 6

By comparison;

n = -6

Hence, the value of n in p (x) = k (x) + n is -6

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The equivalent ratio to 12:13 is 24:26.

Ratio is a mathematical expression of the relationship between two or more values. It is a comparison of the size of one number to the size of another number. Ratios are typically expressed as a:b, where a and b are two numbers that are being compared. Ratios can be used to compare things such as speed, distance, time, and mass. Ratios are also used to compare the relative size of two or more quantities.

This ratio is equivalent because the two ratios have the same proportion: for every 12 baseball caps, there are 13 cowboy hats. By doubling the first ratio, the second ratio has the same proportion. Therefore, the equivalent ratio to 12:13 is 24:26.

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Answer:

Proved.

Step-by-step explanation:

l // m and p is transversal.

    ∠1 ≅ ∠3   ----------(I)   {Corresponding angles}

p // q and l is transversal.

   ∠3 ≅ ∠2   -------(II) {Corresponding angles}

From (I) & (II),

      ∠1 ≅ ∠2

Hence proved.

To prove ∠1 = ∠2

In a plane, parallel lines are those whose distances between them are constant. Lines that are parallel never cross. Lines that cross at a straight angle (90 degrees) are said to be perpendicular.

Given: l II m and p II q

According to the properties of parallel lines

∠1 and ∠ 3 are equal because l II m therefore ∠1 and ∠ 3 are corresponding angles.

Since  p II q therefore ∠3 = ∠2 { angles present on the same sides of the parallel lines called corresponding angles are equal }.

Thus since ∠1= ∠3 and ∠3=∠2 therefore we can say that ∠1 = ∠2.

Hence proved.

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Answer:339.29

Step-by-step explanation:

The closest surface area of the container in square inches is 339.29 square inches.

The correct option is B.

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

An architect uses a cylindrical container to protect her blueprints.

The dimensions of the cylinder shown in the diagram.

The surface area of the cylinder,

= 2πrh + 2πr²

= 2 (3.14) (3)(15) + 2 (3.14) (9)

= 339.12 square inches.

Therefore, the surface area is 339.12 square inches.

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The final solution of the given integral ∫ (\(x^3\) - 2) dx is (\(x^4\))/4 - 2x + C.

To integrate ∫ (x^3 - 2) dx, we use the power rule of integration, which states that ∫\(x^n\) dx = (\(x^{(n+1)}\))/(n+1) + C, where C is the constant of integration.

In this case, we have \(x^3\) as the inside function, so we apply the power rule by raising the exponent by 1 and dividing by the new exponent. This gives us (\(x^4\))/4 + C as the antiderivative.

However, we also have the constant term -2. To integrate a constant term, we add it as a separate term to the antiderivative. So the final solution is (\(x^4\))/4 - 2x + C.

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The temperature ratio T2/T1 = I^(γ-1), and for small disturbances, the change in entropy ΔS ≈ n * R * 2 * (γ - 1) * ε.

The temperature ratio T2/T1 in terms of the pressure ratio P2/P1 can be found using the adiabatic process equation for an ideal gas. For an adiabatic process, the equation is:

P1 * V1^γ = P2 * V2^γ

Where γ is the heat capacity ratio (Cp/Cv). Since P2/P1 = I, we can rewrite the equation as:

V1^γ = V2^γ * I

From the ideal gas law, we know that P1 * V1 / T1 = P2 * V2 / T2, so:

V1 / T1 = V2 / T2 * I

Now, we can substitute V1^γ from the first equation into the second equation:

T2 / T1 = I^(γ-1)

For the change in entropy, we can use the formula:

ΔS = n * Cv * ln(T2 / T1) + n * R * ln(V2 / V1)

Substituting the temperature ratio and the volume ratio, we get:

ΔS = n * R * [(γ - 1) * ln(I) + ln(I^(γ - 1))]

For small disturbances, where I = 1 + ε and ε << 1, we can use the approximation ln(1 + ε) ≈ ε:

ΔS ≈ n * R * (γ - 1) * ε + n * R * (γ - 1) * ε

ΔS ≈ n * R * 2 * (γ - 1) * ε

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Answer:

(9/5, 8/5)

Step-by-step explanation:

First you want to find the equations of the lines. One line is y = 2x - 2 and the other line is y = 1/3x + 1. Then you want to find the x and y that both work in the two equations.

y = 2x - 2

y = 1/3x + 1

Then you do 2x - 2 = 1/3x + 1

Then you do some maths and you get 9/5, and 8/5

Answer: B) 5

Step-by-step explanation:

Due to the similarity of triangles ACE and BCD we have the proportion:

\(\displaystyle\\\frac{5x}{20} =\frac{45}{36}\)

The left side of the equation is reduced by 5, the right side of the equation is reduced by 9:

\(\displaystyle\\\frac{x}{4} =\frac{5}{4} \\\\Hence, \ x=5\)

Within the relevant range, a curvilinear cost function can be graphed as a curved line. A curvilinear cost function is a cost function where the total cost changes as a function of the level of activity, but not at a constant rate.

This means that as the level of activity increases, the cost per unit may increase or decrease, resulting in a curved relationship between the level of activity and the total cost. In order to determine the optimal level of activity, a manager can use calculus to find the point where the marginal cost equals the marginal revenue.

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Answer:

y = 3x/2 + 3

Step-by-step explanation:

First let's solve for y in the given equation

Subtract 3x from both sides

3x - 2y = -10

- 3x         - 3x

-2y = -3x - 10

Divde both sides by -2

-2y/-2 = (-3x - 10)/-2

y = 3x/2 + 5

The slop of the parallel equation will have to be 3/2

y = 3x/2 + b

Plug in the given coordinates

4 = 3(2)/2 + b

4 = 1 + b

Subtract 1 from both sides

4 = 1 + b

- 1.  - 1

b = 3

y = 3x/2 + 3

14) Notice that:

Therefore:

Now, we know that:

Then:

18) Notice that:

Therefore:

Answer:

Answer:

(Q.14) 13.65

(Q.18) .81

Step-by-step explanation:

(Q.14)

136.5/10

1365/10 * 1/10

1365/100

13.65

(Q.18)

8100/10000

8100*1/10000

81/100

.81

Answer:

sim·i·lar·i·ty

/ˌsiməˈlerədē/

Learn to pronounce

noun

the state or fact of being similar.

"the similarity of symptoms makes them hard to diagnose"

a similar feature or aspect.

"the similarities between people of different nationalities"

Step-by-step explanation:

Answer:

The state or fact of being similar.

Answer:

Given that Mal sold a large photo for $ 50 and a large frame for $ 40, and that the sales tax for these products is 5%, to determine the total amount that the consumer had to pay to purchase these products arises from the following calculation:

Step-by-step explanation:

50 + 40) x 1.05 = X

90 x 1.05 = X

94.5 = X

Therefore, the total amount that the consumer had to pay for both products was $ 94.50.