The table shows how fast some of the words fastest animals could travel in different portions of an hour at their top speed. Write the names of the animals in order from least to greatest speed in miles per hour.

Answer: 13 7/10 miles till your uncles house

49/6

Step-by-step explanation:

Answer:

2 is the correct answer

Answer:

A) v = T/2 - 5

Step-by-step explanation:

T = 10+2v

2v = T-10

v = (T-10)/2 = T/2-5

The equation that describes no. of DVDs that Ingrid can rent is A.              v = (T/2) - 5.

An equation states that terms on both sides of the equality sign are equal.

The monthly membership costs 10 dollars, and The rent for each DVD costs 2 dollars.

No. of DVDs that can be rented is denoted by v based on T.

The equation that describes the total cost of renting DVDs is,

T = 2v + 10.

∴ The equation that describes no. of DVDs that can be rented is

2v = T  - 10.

v = (T/2) - 5.

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In order to find g(0), we just need to find the value of the function for x = 0.

Looking at the graph, for x = 0 we have y = 7.

Therefore g(0) = 7.

To find the value of x for g(x) = -1, let's look for the value of x where y = -1.

Looking at the graph, for y = -1, we have x = -2.

Therefore g(x) = -1 for x = -2.

Answer:

The answer to your problem is, D. $13,564.80

Step-by-step explanation:

We know it took her 4 years to pay this amount. Let's solve for the total amount she paid including the interest.

12,560 x 0.02 = 251.2 per year

251.2 x 4 = 1004.8 dollars for 4 years.

1004.8 + 12,560 = 13,564.8 dollars.

Thus the answer to your problem is, D. $13,564.80

The total prize money in a tournament with n players is proportional to n log n.

To find the total prize money in the tournament, we need to consider the number of players and their winnings. Let T(n) be the total prize money in a tournament with n players.

If a player wins in a subtournament of size k, then their winnings will be k * 100 dollars. We can divide the tournament into two subtournaments of size n/2 and calculate the winnings for each half separately. Let's consider the player with the highest subtournament size in each half. They will win in their subtournament and the rest of the players in their half will have subtournament sizes less than or equal to k/2. Therefore, the total winnings for each half will be:

T(n/2) = (n/2) * 100 + T(n/2)

The first term in the equation represents the winnings of the player with the highest subtournament size in that half, and the second term represents the total prize money for the rest of the players in that half.

Using the above equation, we can write the recurrence relation for T(n) as:

T(n) = n * 100 + 2T(n/2)

This recurrence relation represents the total prize money in a tournament with n players, where n is a power of 2. We can solve this recurrence relation using the Master Theorem, which gives us:

T(n) = O(n log n)

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The solution to the system of equations is x = 3, y = 4, option C is correct.

To solve the system of equations using a graphing calculator, we first need to rewrite the equations in slope-intercept form:

y - 2x = -2 can be rewritten as y = 2x - 2

y - x = 1 can be rewritten as y = x + 1

From the graph, we can see that the lines intersect at the point (3, 4). Therefore, the solution to the system of equations is x = 3, y = 4

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Given: A parallelogram with the dimension below

To Determine: The area of the given parallelogram

The area of a paralleogram is given by the formula

Substitute the base and the height into the formula

Hence, the area of the given parallelogram is 117yd²

The sum of the real and imaginary parts of $c$ is$$\operatorname{Re}(c) + \operatorname{Im}(c) = \frac{\operatorname{Re}(2c)}{2} + \frac{\operatorname{Im}(2c)}{2}$$$$= \frac{\operatorname{Re}(z_0+z_2)}{2} - \frac{\operatorname{Im}(z_0)}{2}(1-\cos(\theta/2)) - \frac{\operatorname{Re}(z_0)}{2}\sin(\theta/2)$$$$+ \frac{\operatorname{Im}(z_0+z_2)}{2} - \frac{\operatorname{Re}(z_0)}{2}(1-\cos(\theta/2)) + \frac{\operatorname{Im}(z_0)}{2}\sin(\theta/2).$$

The given problem can be solved using algebraic and geometric methods. We can use algebraic methods, such as the equations given in the problem, and we can use geometric methods by visualizing what the problem is asking. To start, let's translate the given problem into mathematical equations. Let $z_0$ be the original complex number. We want to rotate this point by 90 degrees counter-clockwise about some complex number $c$ to get $z_2$. Thus,$$z_2 = c + i(z_0 - c)$$$$=c + iz_0 - ic$$$$= (1-i)c + iz_0.$$We also know that this transformation will rotate the point $z_1 = (z_0 + z_2)/2$ by 45 degrees. Thus, using similar logic,$$z_1 = (1-i/2)c + iz_0/2.$$Now let's use the formula for rotating a point about the origin by $\theta$ degrees (where $\theta$ is measured in radians) to find a relationship between $z_1$ and $z_0$.$$z_1 = z_0 e^{i\theta/2}$$$$\implies (1-i/2)c + iz_0/2 = z_0 e^{i\theta/2}$$$$\implies (1-i/2)c = (e^{i\theta/2} - 1)z_0/2.$$We can solve for $c$ by dividing both sides by $1-i/2$.$$c = \frac{e^{i\theta/2} - 1}{1-i/2}\cdot\frac{z_0}{2}.$$We can now use the information given in the problem to solve for the sum of the real and imaginary parts of $c$. We know that rotating $z_0$ by 90 degrees counter-clockwise will result in the complex number $z_2$. Visually, this means that $c$ is located at the midpoint between $z_0$ and $z_2$ on the line that is perpendicular to the line segment connecting $z_0$ and $z_2$. We can use this geometric interpretation to solve for $c$. The midpoint of the line segment connecting $z_0$ and $z_2$ is$$\frac{z_0+z_2}{2} = c + i\frac{z_0-c}{2}.$$Solving for $c$, we get$$c = \frac{z_0+z_2}{2} - \frac{i}{2}(z_0-c)$$$$\implies 2c = z_0+z_2 - i(z_0-c)$$$$\implies 2c = z_0+z_2 - i(z_0- (e^{i\theta/2} - 1)(z_0/2)/(1-i/2)).$$We can now find the real and imaginary parts of $c$ and add them together to get the desired answer. Let's first simplify the expression for $c$.$$2c = z_0+z_2 - i(z_0 - (e^{i\theta/2} - 1)\cdot(z_0/2)\cdot(1+i)/2)$$$$= z_0 + z_2 - i(z_0 - z_0(e^{i\theta/2} - 1)(1+i)/4)$$$$= z_0 + z_2 - i(z_0 - z_0e^{i\theta/2}(1+i)/4 + z_0(1-i)/4)$$$$= z_0 + z_2 - i(z_0(1-e^{i\theta/2})/4 + z_0(1-i)/4)$$$$= z_0 + z_2 - i(z_0/4(1-e^{i\theta/2} + 1 - i))$$$$= z_0 + z_2 - i(z_0/2(1-\cos(\theta/2) - i\sin(\theta/2)))$$$$= z_0 + z_2 - i(z_0(1-\cos(\theta/2)) + z_0\sin(\theta/2) - i(z_0\cos(\theta/2))/2.$$Now we can find the real and imaginary parts of $2c$ and divide by 2 to get the real and imaginary parts of $c$. We have$$\operatorname{Re}(2c) = \operatorname{Re}(z_0+z_2) - \operatorname{Im}(z_0)(1-\cos(\theta/2)) - \operatorname{Re}(z_0)\sin(\theta/2)$$$$\operatorname{Im}(2c) = \operatorname{Im}(z_0+z_2) - \operatorname{Re}(z_0)(1-\cos(\theta/2)) + \operatorname{Im}(z_0)\sin(\theta/2).$$Thus, the sum of the real and imaginary parts of $c$ is$$\operatorname{Re}(c) + \operatorname{Im}(c) = \frac{\operatorname{Re}(2c)}{2} + \frac{\operatorname{Im}(2c)}{2}$$$$= \frac{\operatorname{Re}(z_0+z_2)}{2} - \frac{\operatorname{Im}(z_0)}{2}(1-\cos(\theta/2)) - \frac{\operatorname{Re}(z_0)}{2}\sin(\theta/2)$$$$+ \frac{\operatorname{Im}(z_0+z_2)}{2} - \frac{\operatorname{Re}(z_0)}{2}(1-\cos(\theta/2)) + \frac{\operatorname{Im}(z_0)}{2}\sin(\theta/2).$$

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Answer:

4.26

Step-by-step explanation:

Answer:

4.26

Step-by-step explanation:

Answer:

The point (a, b) would be in Quadrant III, where both the x-coordinate and y-coordinate are negative.

Answer:

7 hours  or 8?

Step-by-step explanation:

10,11,12,1,2,3,4,5

The area of the rectangle is 0.4 square meters

To find the area of a rectangle, we multiply its length by its breadth.

Given:

Length = 20 m

Breadth = 2 cm

We need to ensure that the units for length and breadth are consistent. Since the breadth is given in centimeters (cm), we need to convert it to meters (m) before calculating the area.

1 cm = 0.01 m

Converting the breadth from centimeters to meters:

Breadth = 2 cm * 0.01 m/cm = 0.02 m

Now we can calculate the area of the rectangle:

Area = Length * Breadth = 20 m * 0.02 m

Area = 0.4 m^2

Therefore, the area of the rectangle is 0.4 square meters (m^2).

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Answer:

It would be 127

Step-by-step explanation:

We see that they only have 127 common in their prime factorization. Hence, HCF(1651, 2032) = 127. Hence, the greatest number which divides 1657 and 2037 leaves a remainder of 6 and 5 respectively is 127.

Answer:

1429.5

Step-by-step explanation:

Step-by-step explanation:

Given: {x+(1/x)}³ = 3

Asked: x³ + (1/x³) = ?

Solution:

Method 1:

We have, {x+(1/x)}³ = 3

Comparing the expression with (a+b)³, we get

a = x

b = (1/x)

Using identity (a+b)³ = a³+b³+3ab(a+b), we get

⇛{x+(1/x)}³ = 3

⇛(x)³ + (1/x)³ + 3(x)(1/x){x + (1/x)} = 3

⇛(x*x*x) + (1*1*1/3*3*3) + 3(x)(1/x){x + (1/x)} = 3

⇛x³ + (1/x³) + 3(x)(1/x){x + (1/x)} = 3

⇛x³ + (1/x³) + 3{x + (1/x)} = 3

⇛x³ + (1/x³) + 3(x) + 3(1/x) = 3

⇛x³ + (1/x³) + 3x + (3/x) = 3

Our answer came incorrect.

Let's try..

Method 2:

We have,

[x+(1/x)]³ = 3

On taking cube root both sides then

⇛³√[{ x+(1/x)}³ ] = ³√3

⇛x+(1/x) = ³√3 -----(1)

We know that

a³+b³ = (a+b)³-3ab(a+b)

⇛x³+(1/x)³ = [x+(1/x)]³ - 3(x)(1/x)[x+(1/x)]

⇛x³+(1/x³) = (3)-3(1)(³√3)

[since, {x + (1/x)} = ³√3 from equation (1)]

⇛x³+(1/x)³ = 3-3 ׳√3

⇛x³ + (1/x³) = 3- ³√81 (or )

⇛x³ + (1/x³) = 3(1-³√3)

Therefore, x³ + (1/x³) = 3(1 - cube root of 3)

It is impossible to get zero

Based on the calculations, the expression \(x^3 +(\frac{1}{x})^3\) is equal to \(3(1-\sqrt[3]{3})\)

Given the following data:

First of all, we would take the cube root of both sides as follows:

\(\sqrt[3]{(x + \frac{1}{x} )^3} =\sqrt[3]{3} \\\\x + \frac{1}{x} =\sqrt[3]{3}\)....equation 1.

From trinomial, we have:

\(a^3+b^3=(a+b)^3-3ab(a+b)\)

Applying the trinomial eqn. & substituting eqn. 1, we have:

\(x^3 +(\frac{1}{x})^3 = [x+\frac{1}{x}]^3 - 3(x)(\frac{1}{x})[x+\frac{1}{x}]\\\\x^3 +(\frac{1}{x})^3 = (\sqrt[3]{3})^3 - 3[x+\frac{1}{x}]\\\\x^3 +(\frac{1}{x})^3 =3-3\sqrt[3]{3} \\\\x^3 +(\frac{1}{x})^3 =3(1-\sqrt[3]{3})\)

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Answer:

x = - 1/2

Step-by-step explanation:

(3/2 - 6x) + 1 = 3 - 5x

-6x + 5/2 = 3 - 5x

5/2 = 3 - 5x + 6x

5/2 = 3 + x

5/2 - 3 = x

-1/2 = x

x = -1/2

Please mark me the brainliest!?!

\( \frac{3}{2} - 6x +1 = 3 - 5x \\ \)

Plus sides 6x

\( \frac{3}{2} - 6x + 6x + 1 = 3 - 5x + 6x \\ \)

\( \frac{3}{2} + 1 = 3 + x \\ \)

Subtract sides -3

\( \frac{3}{2} + 1 - 3 = 3 - 3 + x \\ \)

\( \frac{3}{2} - 2 = x \\ \)

\( \frac{3}{2} - \frac{4}{2} = x \\ \)

\(x = - \frac{1}{2} \\ \)

Done.....♥️♥️♥️♥️♥️

The graph of a system of inequalities that represents this scenario will be A. On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything below and to the right of the line is shaded.

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions.

On one day, x, the outside temperature never fell below 1°. A automobile was always at least 4 degrees warmer inside than it was outdoors.

y -1 is the inequality for the first line.

Y > x + 4 is the inequality that represents the second line.

The darkened area is therefore above the first line, which is a solid horizontal line.

The shaded area lies above and to the left of the second line, which has a broken line and a positive slope.

Therefore, the correct option is A.

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The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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Answer:

Step-by-step explanation:

1 b

2 b

3 b

4 c

5 a

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Answer:

-1/2

\( - \frac{1 }{2} \)

First the two fours cancel out so it's becomes

\( \frac{1 - 3}{4} \)

then subtract

\( \frac{ - 2}{4} \)

simplify

\( \frac{ - 1}{2} \)

Answer:

fr, domain is all of the x values lol

Answer:

-2-7 = -2 + (-7) = -9

-1-4 = -1 + (-4) = -5

0 -1 = -1

1 -2 = 1 + (-2) = -1

2-5 = 2 + (-5) = -3

GE = 3.35, AG = 6.7, AE = 10.05

DG = 3.145, GC = 6.29, DC = 9.435

BG = 2.982, GF = 1.491, BF = 4.473

Given: distance of the centriod to the vertex is twice the distance from centroid to the midpoint on the opposite side:

centroid: (14/3, 4/3)

Answer:

B. 6

Step-by-step explanation:

Expand the brackets

4(x + 1) - 3 = 25

4x + 4 - 3 = 25

4x + 1 = 25

4x = 25 - 1

4x = 24

x = 24/4

x = 6

Answer:

B. 6

Step-by-step explanation:

4(x+1)-3 = 25

4x+4-3=25

4x+1=25

4x=25-1

4x = 24

x= 24 ÷ 4

x = 6

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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a) The probability of extinction occurring in the first generation is (0.5).

b) The probability of extinction occurring in the second generation is 0.25

c) The probability of extinction occurring in the third generation is 0.125

d) The probability of extinction occurring in the fourth generation is 0.0625

e) The probability of extinction occurring in the fifth generation is 0.03125

In a branching process, each individual can either have zero offspring or one offspring with a probability of 0.5. The probability of extinction occurring at each generation is the probability that all individuals have zero offspring, which is equal to \((0.5)^n\), where n is the generation number.

Therefore, the probability of extinction occurring by a certain generation can be calculated by raising 0.5 to the power of the generation number.

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The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.

The critical value can be determined using a statistical table.

The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).

The critical value for a 5% level of significance is 10.76.

This value can be found in the statistical table given in the textbook.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.

The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).

The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).

In this case,

The F statistic is 3738/1048.93 = 3.56.

The critical value for a 5% level of significance can be found using a statistical table.

According to the table,

The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76

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