The median speed at which Dave drove to work was __________. 63 miles per hour 62 miles per hour 58.89 miles per hour 59 miles per hour

Above that the statement indicates just simple interest equals $157.92.

With only the coordination mechanism and a fixed interest rate, simple yearly interest is interest connected to borrowing. Compounding, wherein borrowers are obligated to pay tax on the principal as well as interest that rises over a number of pay periods, is not included. Simple interest is calculated by multiplying the original by calendar, rate of return and time period.

Due to it,

P = $1305.17

R = 11/10%

T = 11 months

Now, Simple Interest = P*R*T/100

Simple Interest = 1305.17 * 1.1 * 11/100

Simple Interest = 157.92

Therefore, Simple Interest is $157.92

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Anna's total profit was $6000 + $16000 - $4000 = $14000.

How did Anna earn profit

Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.

Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.

Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.

Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.

Polynomial: 6x^3 + 12x^2 - 18x

Form 1: 6(x^3 + 2x^2 - 3x)

Explanation: This form was created by factoring out the GCF of 6 from each term in the polynomial.

Form 2: 6x(x^2 + 2x - 3)

Explanation: This form was created by factoring out the GCF of 6x from each term in the polynomial.

In both forms, the GCF of 6 allows us to factor out common factors and simplify the polynomial expression while preserving its original meaning.

To create a factorable polynomial with a greatest common factor (GCF) of 6, we can start by considering the common factors of the terms. Let's construct a polynomial:

Polynomial: 6x^3 + 12x^2 - 18x

To rewrite this polynomial in two other equivalent forms, we can factor out the GCF from each term and simplify.

Form 1: 6(x^3 + 2x^2 - 3x)

In this form, we factored out the GCF of 6 from each term: 6x^3/6 = x^3, 12x^2/6 = 2x^2, and -18x/6 = -3x.

Form 2: 6x(x^2 + 2x - 3)

In this form, we factored out the GCF of 6x from each term: 6x^3/6x = x^2, 12x^2/6x = 2x, and -18x/6x = -3.

We created each form by identifying the common factors in the polynomial and factoring them out. This process allows us to rewrite the polynomial in equivalent forms that emphasize different aspects.

In Form 1, we factored out the GCF of 6, leaving the remaining polynomial inside the parentheses. This form highlights the fact that the polynomial can be written as the product of the GCF and the remaining terms.

In Form 2, we factored out the GCF of 6x, again leaving the remaining polynomial inside the parentheses. This form emphasizes the fact that the polynomial can be written as the product of the GCF and another factor, in this case, x.

By rewriting the polynomial in these two forms, we have created equivalent expressions that emphasize the presence of the GCF and demonstrate the polynomial's factorability.

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Consider the numbers as, if we assume our first number to be x and second number being y, then from the given information we will be having the following equations :

\({:\implies \quad \begin{cases}\sf 3x+3y=-12\\ \\ \sf 5x+2y=4\end{cases}}\)

Now, rewrite the second equation as ;

\({:\implies \quad \sf 3(x+y)=-12}\)

Divide both sides by 3 ;

\({:\implies \quad \sf x+y=-4\quad ---(i)}\)

Now, consider the second equation of the above cases

\({:\implies \quad \sf 5x+2y=4\quad ---(ii)}\)

Now, multiply (i) by 2 on both sides :

\({:\implies \quad \sf 2x+2y=-8\quad ---(iii)}\)

Now, subtracting (ii) from (iii) will give us :

\({:\implies \quad \sf 2x+2y-(5x+2y)=-8-4}\)

\({:\implies \quad \sf 2x+2y-5x-2y=-12}\)

\({:\implies \quad \sf -3x=-12}\)

\({:\implies \quad \boxed{\bf{x=4}}}\)

Now, putting x = 4 in (i), will give y + 4 = -4, then solving for y will yield \({\boxed{\bf{y=-8}}}\)

Hence, we can conclude that :

\({\quad \qquad \longrightarrow \begin{cases}\bf x=4\\ \\ \bf y=-8\end{cases}}\)

Answer:

17) 53.2

18) 17

Step-by-step explanation:

In similar triangles theorem, the ratio of the corresponding sides of two triangles are equal.

17) To determine x, ratio of the sides of 1st triangle/Ratio of the sides of 2nd triangle.

Ratio of base to the missing side:

7.6/x = 13.6/95.2

7.6/x = 13.6/95.2

7.6/x = 0.1428

7.6= 0.1429x

x = 53.2

18) ratio of shortest side/ longest side

3.4/7.9 = x/39.5

x = 3.4/7.9 × 39.5

x = 17

Answer:

x = -91/10

Step-by-step explanation:

-2(5x + 8) = 14 + 61

-10x -16 = 75

-10x = 91

-10x/-10 = 91/-10

x = -91/10

Answer:6.28

Step-by-step explanation: pls mark brainliest

In full rotation of circle, there are 5.14 radians.

A circle is a round-shaped picture, that has no corners or edges, in geometrical figure it has the largest area for any given length or parameter.

Given that,

The radius of circle r = 4 unit.

In one rotation, the total angle covered = 2π

The one rotation of circle = circumference of circle.

= 2 x π x r

Substitute the value of r,

= 2 x π  x 4

= 8π

= 8 x 22/7

= 176 / 7

= 25.14

There are 25.14 radians in one rotation.

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The probability of obtaining exactly two 6's in four rolls of a fair die is approximately 0.1608, or about 16.08%.

In probability theory, an outcome is the result of a random experiment, such as rolling a die, flipping a coin, or drawing a card from a deck. An outcome can be a single event, such as rolling a 3 on a die, or a combination of events, such as rolling a 1 and then a 4 on two consecutive rolls of a die.

The probability of an outcome is a number between 0 and 1 that measures the likelihood of that outcome occurring. A probability of 0 means that the outcome is impossible, while a probability of 1 means that the outcome is certain. For example, the probability of rolling a 7 on a single roll of a standard die is 0, because there is no face on the die with a 7. The probability of rolling a 1, 2, 3, 4, 5, or 6 is 1/6 each, because each face on the die has an equal chance of showing up.

The probability of obtaining a 6 on a single roll of a fair die is 1/6. The probability of not obtaining a 6 on a single roll is 5/6.

To obtain exactly two 6's in four rolls, we can use the following approach:

So the probability of obtaining exactly two 6's in four rolls of a fair die is approximately 0.1608, or about 16.08%.

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Answer: vvvvv

Step-by-step explanation:

Let R1 and G1 represent the red and green apples available for the first selection, respectively. Similarly, let R2, G2a, and G2b represent the red and two green apples available for the second selection, respectively. Then, the sample space for the two selections is:

{(R1, R2), (R1, G2a), (R1, G2b), (G1, R2), (G1, G2a), (G1, G2b)}

Out of these six outcomes, only two involve selecting a green apple first: (G1, R2) and (G1, G2a). And out of these two outcomes, only one involves selecting a green apple second: (G1, G2a).

Therefore, since the probability of selecting a green apple second changes based on whether a green apple was selected first, the events of selecting a green apple first and selecting a green apple second are dependent.

Answer:

The answer is g(x) = 10x + 15

Step-by-step explanation:

Here, If we assume the value of x is 1 we get,

g(x) = 10x + 15

g(1) = 10(1) + 15

g(1) = 10 + 15

g(1) = 35

Here, We get the answer 35.

Now,

f(x) = 2•3ˣ

f(1) = 2•3¹

f(1) = 2•3

f(1) = 6

Here, We get the answer 6.

Now,

h(1) = 5x² + x + 10

h(1) = 5(1)² + 1 + 10

h(1) = + 5 + 1 + 10

h(1) = + 16

Thus, The answer is g(x) = 10x + 15.

-TheUnknownScientist 72

The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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The answers are explained in the solution.

Given are right triangles, we need to find the missing lengths,

Here we will use Pythagoras theorem,

Hypotenuse² = base² + perpendicular²

1) x² = 5²+2²

x = √25+4

x = √29

2) 6² = x²+4²

x = √36-16

x = √26

3) 25² = x² + √24²

x = √625-576

x = √49

x = 7

Only the 3rd is following the rule of Pythagorean triplet.

Part 2 = The Triangle Inequality :-

The Triangle Inequality (theorem) says that in any triangle, the sum of any two sides must be greater than the third side.

a) 2, 4, 8

2+4 = 6 < 8 [not a triangle]

b) 5, 6, 7

5+6 = 11 > 7

6+7 = 13 > 5

7+5 = 12 > 6

Therefore, it is forming a triangle,

7² = 49

5²+6² = 36+25 = 61

∵ 7² < 5²+6²

Therefore, the triangle is an acute triangle.

c) 6, 8, 15

6 + 8 = 14 < 15 [not a triangle]

d) 9, 12, 15

9 + 12 = 21 > 15

12 + 15 = 27 > 9

15 + 9 = 24 > 12

Therefore, it is forming a triangle,

15² = 225

9²+12² = 81 + 144 = 225

∵ 15² = 9²+12²

Therefore, the triangle is a right triangle.

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Answer:

Step-by-step explanation:

exponential

The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).

How to know if the lines intersect in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.

Now,

On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.

The graph models the growth of each plant since the day they were planted.

The intersection of the two lines represents the days after being planted were the two plants the same height.

The answer is that 2 days after being planted, the two plants are the same height.

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The answer is that 2 days after being planted, the two plants are the same height.

How to know if a point lies in the graph of a function?

The answer is that 2 days after being planted, the two plants are the same height.

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Answer:

46<h

Hopes this helps :)

Answer:

720

Hope that this helps!

Step-by-step explanation:

yes, the step is correct.

a² = cx | multiply by c

ca² = c²x

I am just not sure how that simplified the equation.

what do you want to achieve ? what's the goal here ?

to solve the equation for x it would be to divide both sides by c, which gives

a²/c = x

Answer:

Zero, based on the information provided.

Step-by-step explanation:

The output rate of the teller machine is (1 transaction/6 minutes).  The input rate is (1 customer/10 minutes).  This means that the machine completes a cycle faster than the customers arrive, on the average.  I don't know how an average can be calculated without more information.  If we assume customers arrive every 10 minutes, and no one screws up the machine, that there should be no waiting line.   Is there more information about when the customers arrive?  E.g., 50 arrive in the first hour the machine is open.

If the average transaction at an automatic teller can be completed in six minutes and customers arrive at the average rate of one every ten minutes. The average number of customers in the queue is: B. 0.900 customers.

M represent Markovian (memoryless) arrivals and service times

1 represents a single server.

Arrival rate (λ) is 1 customer every 10 minutes and the service rate (μ) is 1 customer every 6 minutes.

The formula to determine the average number of customers in the queue (Lq) is:

Lq = (λ^2) / (μ * (μ - λ))

Plugging in the values:

λ = 1/10

μ = 1/6

Lq = ((1/10)^2) / ((1/6) * ((1/6) - (1/10)))

Lq = (1/100) / ((1/6) * (10 - 6)/60))

Lq = (1/100) / ((1/6) * (4/60))

Lq = (1/100) / ((1/6) * (1/15))

Lq = (1/100) / (1/90)

Lq = (1/100) * (90/1)

Lq = 90/100

Lq = 0.9

Therefore, the correct option is B.

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Answer:

1

Step-by-step explanation:

4+x+4+x+1+x=6(2x)

3x+9=12x

3x-12x=-9

-9x=-9

9x=9

x=9÷9

=1

the turtle will travel 26 meters in 13 minutes.

In physics and mathematics, distance (d) is the measure of the length between two points in a straight line or along a curved path. It is a scalar quantity that is usually measured in units of meters (m) or other distance units such as kilometers (km), miles (mi), feet (ft), etc.

a. The rule for the distance d traveled by the turtle as a function of minutes traveled t can be expressed as:

d = 2.0t

Where d is the distance in meters and t is the time in minutes.

b. To find out how far the turtle will travel in 13 minutes, we can simply substitute t = 13 in the formula we obtained in part a:

d = 2.0t = 2.0 x 13 = 26 meters

Therefore, the turtle will travel 26 meters in 13 minutes.

c .The graph is shown below:

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First, we translate b and place the tail at the tip of a, being careful to draw a copy of b that has the same length and direction. then we draw the vector a+b (see the middle figure) starting at the initial point of a and ending at the terminal point of the copy of b.

Alternatively, we could place b so it starts where a start and construct a+b by the parallelogram law as in the bottom figure.

The parallelogram law says that if we place two vectors so they have the same initial point, and then complete the vectors into a parallelogram, then the sum of the vectors is the directed diagonal that initiates at the same point as the vectors.

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This question is incomplete, the complete question is;

Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R(10cm)

What is the maximum volume?

Answer:

a) Dimensions of the cylinder are; Radius = 8.1650 cm , Height = 11.547 cm

b) the maximum volume is 2418 cm³

Step-by-step explanation:

From the image

radius of the sphere is 10cm

radius of the cylinder is x and its height is 2y

so

The volume of cylinder  is V = πr²h = πx²(2y)

Get V as function of just one variable x² + y² = 100

x² = 100 - y²

Therefore V = π( 100-y² )(2y) = 200πy-2πy³

V will be a maximum when V' = 0

V' = 200π - 6πy² =0

y² = 200π / 6π = 100/3

y = √(100/3) = 5.7735

x² = 100 - y²

x² =100 - (100/3)

x = √(200/3)

x = 8.1650

So The maximum volume will occur when the radius is 8.1650 cm

and the height 2y is 2(5.7735) = 11.547 cm

The maximum volume is

πr²h = π(8.1650)² (11.547 )  

= 2418 cm³

Therefore the maximum volume is 2418 cm³

i. Costco is more effective at collecting its accounts receivable faster.

ii. The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing.

iii. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

Accounts Receivable Turnover: Year ended in 2022: 10.2 times; Year ended in 2021: 10.1 times.

Number of Days Sales in Accounts Receivable: 2022: 38.6 days; 2021: 39.1 days.

Sam's Club

Accounts Receivable Turnover: Year ended in 2022: 8.6 times; Year ended in 2021: 8.5 times.

Number of Days Sales in Accounts Receivable: 2022: 45.2 days; 2021: 46.2 days.

This could be due to a number of factors, such as the economic environment, changes in customer payment habits, or changes in the way that the companies are managing their receivables.

This could be due to a number of factors, such as the companies' different business models, customer bases, or payment terms.

So, Costco is more effective at collecting its accounts receivable faster.

The trend in the accounts receivable turnover ratio and the number of days sales in accounts receivable for both companies is that they are both decreasing. Costco is more effective at collecting its accounts receivable faster than Sam's Club.

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Answer:

I think Jacob wins the race

The distance from the origin to the point (-15, 36) is 39 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

Note: The origin is denoted by the coordinates (0, 0).

Substituting the given parameters into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-15 - 0)² + (36 - 0)²]

Distance = √[15² + 36²]

Distance = √[225 + 1,296]

Distance = √1,521

Distance = 39 units.

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Answer:

Step-by-step explanation:

4/mx

Hey there! I'm happy to help!

If Mary's friend at 3/4 of blackberries, we will simply multiply the total number of blackberries by 3/4 to find how many blackberries Mary ate.

3/4×1 3/4= 1 5/16

Therefore, Mary's friend at 1 5/16 pounds of blackberries.

I hope that this helps! Have a wonderful day!