Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?

Answer:

21

Step-by-step explanation:

63 divided by 3 is 21

210 divided by 10 is 21

Driving a personal car would be the most cost-effective mode of transportation for this commute, with a total daily cost of approximately $4.60 ($3.60 for gas + $1 for travel time).

Based on the given information, the most cost-effective mode of transportation for this commute would be to drive a personal car. Taking public transportation or carpooling may be more environmentally friendly options, but they may not save as much money as driving alone.

Assuming an average speed of 60 miles per hour on the highway, the commute would take approximately 20 minutes each way, or 40 minutes round-trip. This means the total cost of travel time for each workday would be $40 ($60/hour x 2/3 hour).

Using a cost calculator such as GasBuddy, we can estimate that the cost of driving 20 miles per day (round-trip) would be around $3.60 per day, assuming an average fuel efficiency of 25 miles per gallon and a gasoline price of $2.50 per gallon.

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The idea of the Laffer Curve, as it is expressed mathematically, is that there is an optimal tax rate at which the government can maximize revenue. This concept is based on the idea that as tax rates increase, revenue collected by the government initially increases but eventually reaches a point at which further increases in tax rates lead to a decrease in revenue.

The Laffer Curve is used to analyze how economic policies may affect growth and stability by illustrating the trade-off between higher tax rates and revenue generation. It is often used as an argument to reduce the government's role in the economy, as increasing taxes beyond a certain point can be counterproductive.

Additionally, the Laffer Curve is related to the idea that aggregate supply increases when production costs decrease, as lower taxes can lead to lower production costs and, therefore, an increase in supply. This is a long answer that describes the various aspects of the Laffer Curve.

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Answer: G. -9

Step-by-step explanation: -27/3 = -9

Answer:

x = 13

Step-by-step explanation:

The angle adjacent to (2x + 19) on line l is corresponding to (9x + 18) and are congruent.

Then (2x + 19) and (9x + 18) are adjacent angles and supplementary, that is

2x + 19 + 9x + 18 = 180

11x + 37 = 180 ( subtract 37 from both sides )

11x = 143 ( divide both sides by 11 )

x = 13

Answer:

x = 13

Step-by-step explanation:

(9x+18)+ (2x+19) = 180 because they are same side exterior angles

reduce:

11x + 37 = 180

11x = 143

x = 13

check:

9(13) + 18 + 2(13) + 19 = 180

117 + 18 + 26 + 19 = 180

180 = 180

Answer:

Solution is in the attached photo.

Step-by-step explanation:

Take note for this question we can use the Sine rule to straightaway find the unknown value.

The probability of x being equal o 19.62 is d) 0.

It is given that x is normally distributed with a mean of 12 and a standard deviation of 3.

Now, Normal distribution is a continuous distribution.

This implies that the probability is measured over an interval, taking an infinite number of points in between.

If we plot a continuous distribution, the probability here at a point is not the value of the y coordinate at that point. Instead, it is seen as an area under the curve of the distribution, between the two intervals, say a and b.

Therefore, if we take up a single point say c, then the probability will be the area under the curve from c to c, which will obviously be 0.

Hence, the probability that x = 19.62 will be 0.

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Recall that

\(\cos(0) = \cos(2\pi) = \cos(4\pi) = \cos(2n\pi) = 1\)

and

\(\cos(\pi) = \cos(3\pi) = \cos(5\pi) = \cos((2n+1)\pi) = -1\)

Then the given sequence could be written as

\(a_n = \cos(n\pi) = (-1)^n\)

To get x, we will use the Pythagoras theorem

With the hypotenuse equal to 12m

Answer:

28 inches.

Step-by-step explanation:

The side length of the square can be found by taking the square root of the area, which is 7 inches.

The perimeter of a square is simply 4 times the length of one of its sides, so the perimeter of this square paper is:

4 x 7 inches = 28 inches

Answer:

-15+15=0

Step-by-step explanation:

Answer:

+15

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To complete the table and find the derivative of the function y = (9x^(3/2))/x without using the quotient rule, we'll rewrite, differentiate, and simplify the function and get dy/dx =  27/2x^(1/2) - 9x^(1/2) .

Step 1: Rewrite the function
y = 9x^(3/2) * x^(-1) (multiply the x term in the denominator by -1 to rewrite the division as multiplication)
Step 2: Differentiate the function using the power rule (dy/dx = nx^(n-1))
dy/dx = 9(3/2)x^(3/2 - 1) - 9x^(3/2 - 1)
Step 3: Simplify the expression
dy/dx = 27/2x^(1/2) - 9x^(1/2)

Your answer: To find the derivative of the function y = (9x^(3/2))/x without using the quotient rule, we rewrote the function, differentiated it, and simplified the result to obtain the derivative dy/dx = 27/2x^(1/2) - 9x^(1/2).

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Answer:

a=2 and b=3

Step-by-step explanation:

5(2) +2(3) = 10 +6 =16

3(2) + 2(3) = 12

If out of 50 tickets Akira buys at the carnival, he give his sister 5 for kiddie rides and he go on the kiddie rides with her, then he can go to up to 40 rides.

Therefore the answer is 40.

If Akira gave her tokens for five kiddie rides, and he has to use tokens to go on the kiddie rides with her, then he used a total of 5 × 2 = 10 tokens for the kiddie rides.

After giving his sister tokens for the kiddie rides, Akira has 50 - 10 = 40 tokens left.

He wants to use at least some of these tokens for thrill rides, so he can go on some number of thrill rides that is less than or equal to 40. This means that Akira can go on 40 thrill rides or fewer, depending on the cost of each thrill ride.

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Answer: 30.8

Step-by-step explanation:

Answer:

$22 increased by 40% is 30.80

Step-by-step explanation:

The given expression -3x²-6x+9 is quadratic expression and it is trinomial.

Classification of polynomials are given below:

A) 2x²

Degree = 2, so it is quadratic expression

Name using number of terms=monomial

B) -2

Degree = 0, it is constant

Name using number of terms=monomial

3) 3x-9

Degree = 1, so it is linear expression

Name using number of terms=monomial

4) -3x²-6x+9

Degree = 2, so it is quadratic expression

Name using number of terms=trinomial

Therefore, the given expression -3x²-6x+9 is quadratic expression and it is trinomial.

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We can expect a 23.468% chance for the mean of this sample to lie between 66 and 72.

Here since the population size is not given, assuming the population tends to infinity we can assume that the mean and standard deviation of the sample is the same as the population.

Here, the sample can be very well expected to follow a normal distribution. Now we need to find the area of the normal curve between values 66 and 72.

The normal curve will be N~(70, 100)

Hence we need to find

P(66<X<72)

Now standardizing the above by the formula Z = ((X - μ)/σ)

we get

Φ(66-70/10 < Z < 72 - 70/10)

Φ(-0.4 < Z < 0.2)

= Φ(0.2) - Φ(-0.4)

= Φ(0.2) - 1 + Φ(0.4)

Looking up these Z scores on a Z table we get

0.57926 - 1 + 0.65542

= 0.23468

Therefore, 23.468% will be expected.

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The safe dose range for this patient is 117mg/day to 234mg/day. Safe dose range can be calculated as follows No, it is not safe for the child if the prescriber orders for 120 mg to be administered as the IV bolus since it exceeds the safe dose range of 117mg/day to 234mg/day.

The child's weight is 19.5 kg. Therefore, the safe dose range for the child is 117 mg/day to 234 mg/day. If the prescriber orders for 120mg to be administered as the IV bolus, it will exceed the safe dose range.2a) The patient is 150lb. 1kg = 2.2lb therefore the patient weighs 150lb/2.2lb/kg=68.18kg Digoxin is to be infused at 8μg/kg as a loading dose. Therefore the total dosage is:68.18kg x 8μg/kg = 545.44μg= 0.54544 mg (convert μg to mg by dividing by 1000)If Digoxin comes supplied as 0.25mg/mL, then we can use this to calculate the volume needed to prepare the medication.The volume of Digoxin we need = 0.54544mg/0.25mg/mL=2.18176mL2b) Yes, the dose is safe for the patient. It is within the therapeutic range for a loading dose of Digoxin, which is 0.5mg to 1.5mg for adults. The patient's weight of 68.18 kg is within the normal adult weight range.

To calculate the drop factor, we will use the following formula:gtt/min = (mL/hour x drop factor)/60min/hourWe know that the drip rate is 20 gtt/min and the concentration of the IV solution is 13.5 mg/mL, so we can find the mL/hour as follows Concentration of IV solution = 5% dextrose in saline = 50mg/mLTotal volume to be infused = volume of IV solution x total dose / concentration of IV solution Volume of IV solution = Total volume to be infused x concentration of IV solution / total dose= 1000mL x 50mg/mL / 50000mg= 1mL/hour Therefore, it will take 1000 hours to infuse 1000 mL of 5% dextrose in saline with a drop factor of 20 gtt/mL and drip rate of 15 gtt/min.7a)The child's weight is 16.5kg. The prescribed dose is 0.8mg/kg/dose. Therefore, the total dose is:16.5kg x 0.8mg/kg/dose = 13.2mg/doseThe stock strength is 20mg/2mL. Therefore, we can calculate the quantity to administer as follows The volume to give the patient is 1.32mL.7c) The child is to be given the medication for 12 hourly for 48 hours. Therefore, the total volume of the medication the child received by the end of the 24 hours is;1.32mL/dose x 2 doses/hour x 12 hours = 31.68mL.

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Answer:

-7/5

Step-by-step explanation:

It is given that,

→ (-4/5) + (-3/5) = ?

Let's solve the problem,

→ (-4/5) + (-3/5)

→ (-4/5) - (3/5)

→ (-4 - 3)/5 = -7/5

Thus, the answer is -7/5.

Answer:

79

Step-by-step explanation:

The answer is 27 m² and 9 m² of blue and brown fabric will be used respectively.

A square pyramid is a three-dimensional shape that has a total of four triangular faces.  

A most famous example of such a pyramid in real life is the Great Pyramid of Giza.

The sides are triangular faces are 3 m and 4.5m

Height of the prism is 4.5m and the side of the square base is 3m

The surface area for triangular face is (1/2) *  base * height

= (1/2) * 3 * 4.5

= 6.75 m²

For four faces the surface area of the blue fabric required is side * side

= 4 * 6.75

= 27 m²

For the base , brown fabric is being used and the surface area of the base is

= 3 * 3

= 9 m²

Therefore 27 m² and 9 m² of blue and brown fabric will be used respectively.

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Answer:

The initial cost of Elizabeth's books is $345. After one year, the cost of her books increased by 7%, which is an increase of $345 x 7/100 = $24.15

So, the cost of her books after one year is $345 + $24.15 = $369.15

To find the price of her books after five years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the final amount, P is the initial principal (or starting amount), r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, P = $345, r = 7/100, n = 1, and t = 5

So, A = $345 (1 + 7/100)^5 = $345 * 1.07^5 = $475.14

Rounding this to the nearest dollar, we get $475.

Therefore, the price of Elizabeth's books after five years is $475.

the Department of Education receives about 65 percent of the federal funds transferred to state governments.

First, you need to identify what type of information is being asked for in the question. In this case, the question is asking which department receives a certain percentage of federal funds transferred to state governments.

Next, you need to research the answer. You can find the answer to this question by looking at the U.S. Department of Education website or other reliable sources.

The answer is that the Department of Education receives about 65 percent of the federal funds transferred to state governments.

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Answer:

6.32 in.

Step-by-step explanation:

2.92 + 3.4 = 6.32

Answer: 6.32 inches

.........................

The transformation rule that is used to map the figure to the image is;

Shift the figure by 2 units to the right and then reflect the figure about the line y = -1.5

Looking at the figure which is the top triangle, we can see that it is not in line with the image at the bottom and as such, we need to make it to be in vertical alignment by shifting the figure first of all by 2 units to the right.

When the figure is shifted by 2 units to the right, then it will be in alignment with the image at the bottom and as such we can reflect the figure about the line y = -1.5 to achieve the final mapping that is required.

The transformation rule used will be shifting and reflection

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The sample space corresponding to the random experiment "observe the result of a visit to the portal" is S = {B, S}. The probability that a visit results in a big sale is  0.01. The probability that a visit results in a small sale is 0.1. The probability that a visit results in a sale is 0.11.

a)

Sample Space: Sample space is the collection of all possible outcomes of a random experiment. Here, the random experiment is "observe the result of a visit to the portal".

As every 1000 visits result in 10 big sales and 100 small sales, the sample space for observing the result of a visit to the portal can be given as: S = {B, S} where B represents the event of big sale and S represents the event of small sale.

b)

The probability that a visit results in a big sale can be obtained as:

Probability of a big sale = Number of big sales / Total number of visits= 10/1000= 0.01

c)

The probability that a visit results in a small sale can be obtained as:

Probability of a small sale = Number of small sales / Total number of visits= 100/1000= 0.1

d)

The probability that a visit results in a sale can be obtained as the sum of the probability of big sales and the probability of small sales:

Probability of a sale = Probability of a big sale + Probability of a small sale= 0.01 + 0.1= 0.11

Therefore, the probability that a visit results in a sale is 0.11.

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Answer:

x=4

Step-by-step explanation:

4•1=x

x=4

Answer:

No solution

Step-by-step explanation:

Answer:

There's not a value of n so that n + 5 = n + 7

Step-by-step explanation:

if n + 5 = n + 7, then:

subtract 5 from each side of the equation:

n = n + 2 which does not have a solution for n

The equation 8x - 4y = -4 have y as the subject to be equal to 2x + 1 expresses in terms of x.

To solve for y in the equation 8x - 4y = -4, we must make y the subject and it should be positive as follows;

8x - 4y = -4

add 4y to both sides

8x - 4y + 4y= -4 + 4y

8x = - 4 + 4y

also to make y the subject;

- 4 + 4y = 8x

add 4 to both sides

- 4 + 4 + 4y = 8x + 4

4y = 8x + 4

factorize the right hand side

4y = 4(2x + 1)

divide through by the coefficient of y

4y/4 = [4(2x + 1)]/4

y = 2x + 1

Hence, the equation 8x - 4y = -4 has y = 2x + 1

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Answer:

y= 3.5x -4

Step-by-step explanation: