3. Imagine that you are taking a ride while on vacation. If the ride service charges Birr 50 to pick you up from the hotel and Birr 10 per km for the trip. What maximum km's you travel if your cost is not more than Birr 1350.​

A. The equation that can be used to represent the side a of the cube is a³ = 343.

B. The value of a is 7 units.

The diagram above is a cube . A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Therefore, the cube has a volume of 343 cm³.

Hence, the equation that can be used to represent the side a of the cube is as follows:

volume of a cube = l³

where

Therefore,

volume of the cube = a³

343 = a³

Let's solve the equation.

343 = a³

a³ = 343

cube root both sides

a = ∛343

a = 7 units

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Answer:

(-1,1)

Step-by-step explanation:

1/4 (-4) = -1

1/4(4) = 1

(-1,1)

we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).

5y + 2(3y − 1) = 8y - (y2)

5y + 2(3y - 1) can be rewritten as 5y + 6y - 2.

Then, we can combine like terms on the left side to get

11y - 2.

On the right side, we can combine like terms to get 8y - y2.

Now, we have 11y - 2 = 8y - y2. We can subtract 8y from both sides to get 3y - 2 = -y2.

Finally, we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).

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The starting value of an algorithm used to generate a range of numbers is called as Seed .

A pseudo-random number generator (PRNG) is a technique that generates random number sequences using mathematical formulas. A series of numbers that closely resemble the characteristics of random numbers are produced by PRNGs. A Seed state is used by a PRNG to start from any starting state. If the beginning of the series is known, many numbers are created quickly and can also be repeated later. As a result, the numbers are accurate and deterministic.

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Answer:

Account A = $20.8

Account B = $

Step-by-step explanation:

how much is the principal in each​ account?

Formula  = (P x R x T)/100

Account A: -

2.00 = P(3.2)(3) / 100

(2 x 100) / (3.2 x 3) = P

P = $ 20.8

Account B: -

20.7 = P(3.2)(18) / 100

(20.7 x 100) / (3.2 x 18) = P

P = $35.9

Which account earned you the most interest the first​ month?

Account A: -

3 months ----> $2

1 month ----> $x

x = 2 / 3

x = $0.67

Account B: -

18 months ----> 20.7

1 month ----> $y

y = 20.7 / 18

y = $1.15

Account B has earned more as 1.15 > 0.67 ( 1.15 IS greater than 0.67)

I hope my answer helps you.

Answer: D. 550

Step-by-step explanation: Among the choices, 550 is the right answer, because simply it is divisible by 2, 5, and 10, unlike the other choices that are not divisible by 2, 5, or 10.

550 ÷ 10 = 55

550 ÷ 5 = 110

550 ÷ 2 = 275

Noel can expect to earn a total profit of $572 if he sells all 22 blocks at the fair. Profit is an important measure of the financial performance of a business.

Profit is the amount of money that is gained from a business activity after all expenses have been paid. It is calculated by subtracting the costs of producing or acquiring a product or service from the revenue generated by selling that product or service.

To find the total profit that Noel can expect to earn from selling all 22 blocks, we need to multiply the profit from each block by the number of blocks he plans to sell.

We can use the following equation to calculate the total profit:

Total profit = Profit per block x Number of blocks

Plugging in the values we know, we get:

Total profit = $26 x 22 = $<<26*22=572>>572

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The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.

The given sequence is 1/117659, 1/16807, 1/2401...

Here, common ratio is

1/16807 ÷ 1/117659

= 1/16807 × 117659/1

= 117659/16807

= 7

Now, 1/2401 ÷ 1/16807

= 1/2401 × 16807/1

= 16807/2401

= 7

Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

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Answer:

4

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

The side lengths of the square is 4.

Area = Length times width

Area = 4 x 4

Are = 16

The function f(x) = x + 5x + 1 has exactly one zero in the interval (-1, 0). To prove this, we can use the Intermediate Value Theorem.

This theorem states that if a function f(x) is continuous on an interval [a, b] and if its values at a and b have opposite signs, then there exists at least one root (zero) of the function in the interval (a, b). Therefore, since f(-1) = -6 and f(0) = 1, both of which have opposite signs, the Intermediate Value Theorem can be used to conclude that there exists at least one root of the function in the interval (-1, 0).

Furthermore, since the function is a quadratic function of the form f(x) = ax2 + bx + c, it is known that a quadratic equation can have at most two roots (zeros) (in a given interval). Therefore, since the Intermediate Value Theorem implies that the function f(x) has at least one zero in the interval (-1, 0), it follows that the function has exactly one zero in the interval (-1, 0).

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Answer:

Step-by-step explanation:

758 +630+7+105=1400 ^

Answer: A

the total employees in the company is

                  758 + 530 + 7 + 105 = 1400 (employee)

the percent of the employees walk to work is

                  7/1400.100% = 0,005 . 100% = 0,5%

Step-by-step explanation:

The value of r'(1) and s'(4) is 0 that can be interpreted with the help of the graph that is given in the question.

Derivative in mathematics, the rate of change of a characteristic with recognize to a variable. Derivatives are essential to the answer of troubles in calculus and differential equations. The essence of calculus is the by-product. The by-product is the immediately price of extrade of a characteristic with recognize to certainly considered one among its variables. This is equal to locating the slope of the tangent line to the characteristic at a point

[tex]r(x) = f(g(x))[/tex]therefore the derivative of r is given by [tex]r'(x) = f'g(x)\times g'(x)[/tex]

[tex]r'(1) = f'(g(1))\times g'(1)[/tex] from the graphs

r'(1) = f'4 \times g'1 = (5/4) \times(0) = 0

Similarly s'(1) = g'(f(1))\times f'(1) from the graphs

 f(1)=1.5, f'(1)

=\dfrac{ (3-0)}{(0-2)}

= -3/2 , g'(3/2) = 0

s'(4) = g'(3/2) \times f'(4) = 0(-1.5) = 0

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Complete question:

let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).

The sample of toys below are likely to have come from a population with mean price greater than $10 then the p-value of the test is 0.139.

R code

⇒ x = c(10,12,15,8,9,10,13,7,20,10)

⇒ t.test(x,mu = 10, alternative = "greater")

on sample t test

data: x

t = 1.1543, df = 9, p value = 0.1391

alternative hypothesis: true mean is greater than 10

95 percent confidence interval:

9.176629 Inf

sample estimates:

mean of x

11.4

Hence we get the required answer.

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The option that gives the number of solutions to the system of equations is given as follows:

A. One solution.

For a system of linear equations, the system is composed by multiple lines, and the number of solutions is defined according to the features of the lines.

The possible numbers of solutions are given as follows:

From the graph given in this problem, we have that the two lines intersect at one point, hence the system of equations has one solution and the correct option is given by option A.

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Babies will not fall asleep more quickly when they hear the sound of a recorded heartbeat by opposite of null hypothesis.

The researcher has proposed a hypothesis that babies will fall asleep more quickly when they can hear the sound of a recorded heartbeat. To test this hypothesis, the researcher must develop a null hypothesis. The null hypothesis is the opposite of the researcher's hypothesis and states the expected outcome if the researcher's hypothesis is false. In this case, the null hypothesis is that babies will not fall asleep more quickly when they hear the sound of a recorded heartbeat. To test these hypotheses, the researcher must design a study and collect data to determine if the hypothesis is true or false. The researcher must also consider variables that could affect the outcome of the study, such as the age of the babies, the type of recorded heartbeat, and any other factors that could impact the outcome. The results of the study will then be used to either reject or accept the null hypothesis and determine if the researcher's hypothesis is true or false.

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Step-by-step explanation:

Monday to Friday = 5x

Saturday = y

Sunday = z

Per week, he works 5x + y + z hours.

Answer:

b). parameter

Step-by-step explanation:

A parameter is a fixed value in the model that is not a decision variable and is not changed during the optimization process. It is used to represent known quantities that are used in the model but are not being optimized. For example, in a linear programming model, the cost of a product may be represented by a parameter, as the cost is not a decision variable and is fixed.

The price that is the Second standard above the mean, if the mean is $10000  and the standard deviation is $500 is $18000.

The central tendency along the median and mode of a probability distribution is measured by the mean. It is also known as "expected value."

Given:

The mean, m = $17000,

The standard deviation, σ = $500

Calculate the second standard deviation as shown below,

Second standard deviation  = mean + 2 × standard deviation

Second  standard deviation = 17000 + 2 × 500

Second  standard deviation = 17000 + 1000

Second  standard deviation = $18000

Therefore, the price that is the Second standard above the mean, if the mean is $10000  and the standard deviation is $500 is $18000.

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The number of boxes Anica need to pack all the stuffed animals is 3.

Given that, Anica has 13 stuffed animals, and each box holds 5 animals.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

Number of boxes completely filled =13/5

5|13|2
  10
_____

   3

3 animals are left

Therefore, the number of boxes Anica need to pack all the stuffed animals is 3.

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Answer:

5

Step-by-step explanation:

Knowledge Needed

Use PEMDAS

Parenthesis

Exponents/Roots

Multiplication & Division

Addition & Subtraction

This means you do parenthesis first, exponents second, etc.

Clearing up a Common Misconception: Multiplication is not is not in front of division, same with addition and subtraction. When it comes to this, the order is left to right.

Question

2(11-4)-3^2

Parenthesis

2(7)-3^2

Exponents

2(7) - 9

Multiplication/Division

14 - 9

Subtraction

5

Answer:

For the first one, shade in 1 circle at the start

Then shade in 9/4 more, so you would fully shade 2 more because every 4 equals 1.

Then shade 1 quarter of the next circle, or 1 of the 4 portions of the next circle.

____________________________________

For the second one, shade in 2 circles at the start

Then shade 8/5 more, so fully shade one more because every 5 numbers equals one shaded circle.

Then shade 3/5 of the next circle. So you would shade 3 of the 5 portions of the circle

Answer:

x = 16

Step-by-step explanation:

If the lines were parallel then (12x - 50) and (8x + 14) are alternate angles and are congruent , then

12x - 50 = 8x + 14 ( subtract 8x from both sides )

4x - 50 = 14 ( add 50 to both sides )

4x = 64 ( divide both sides by 4 )

x = 16

For a and b to be parallel then x = 16

Answer: b) The set of all x-coordinates

Step-by-step explanation:

The triangle after translation will have coordinates A'(-9, 7), B'(-6, 10) and C'(-3, 5)

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, a triangle A(-5,1) B(-2,4) C(1,-1) is being translated 4 units left and 6 units up

To translate the point P(x, y), a units left and b units up, use P'(x-a, y+b).

Therefore, coordinates for A'B'C' are =

A(-5, 1) = A'(-5-4, 1+6) = (-9, 7)

B(-2, 4) = B'(-2-4, 4+6) = (-6, 10)

C(1, -1) = C'(1-4, -1+6) = (-3, 5)

Hence, The triangle after translation will have coordinates A'(-9, 7), B'(-6, 10) and C'(-3, 5)

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Answer:

Below

Step-by-step explanation:

You need to draw a diagram of the described situation ( see below) ...then you can see the Law of Cosines will give you the answer:

There is no association between the two variables if the correlation is 0.hintlinks to an external site. textbook pageslinks to an external site is False statement.

A correlation of zero means that there is no linear relationship between two variables, however, this does not necessarily mean that there is no relationship at all. It's crucial to keep in mind that correlation does not equal causation.For example, two variables may have no linear relationship, but still be related in some way, such as through a third variable or a non-linear relationship. Therefore, correlation does not necessarily mean that there is no relationship between two variables.

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The cost of each shirt and pair of pants is $11 each.

Let us represent the shirt by x and pair of pants by y. So forming the equation based on the information. Equation for items bought by me -

x + 3y = 44 : Equation 1

Equation for items bought by my friend -

3x + y = 44 : Equation 2

Performing multiplication of equation 1 with 3

3x + 9y = 132 : Equation 3

Performing subtraction of equation 2 from equation 3

3x + 9y = 132

3x + y = 44

We get -

9y - y = 132 - 44

8y = 88

y = 88/8

Performing division

y = 11

Keep the value of y in equation 1

x + 3×11 = 44

x + 33 = 44

x = 44 - 33

x = 11

Hence, both of these items cost $11.

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The number of cups sold at the first game is 55.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of each souvenir = $2.25

The total amount collected from the souvenir cups sales = $123.75

The number of cups sold at the first game.

= 123.75/2.25

= 55

Thus,

The number of cups sold is 55.

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Answer:

lines a and b must be parallel

Answer:(A)

Step-by-step explanation:edge

Chris can only buy a maximum of 5 DVDs.

What is a division?

The division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to find the quotient. It is represented by the symbol "/" or "÷".

To determine how many DVDs Chris can buy, we need to subtract the cost of shipping from the total amount of money Chris has available and then divide the remaining amount by the cost of each DVD.

First, we subtract the cost of shipping from the total amount of money Chris has available:

$100 - $9.99 = $90.01

Then, we divide the remaining amount by the cost of each DVD:

$90.01 / $15.99 = 5.63

Chris can buy 5 DVDs.

Hence, Chris can only buy a maximum of 5 DVDs.

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