1.6y – 1.4 = 30
Also, how do I check?

Answer:

cost = 112

profit= 168

Step-by-step explanation:

280÷100=2.8

2.8×40=112

profit = price - cost

= 280-112

= 168

Answer:

Sorry i couldnt upload the file i uploaded it onto a file host link is below

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also im joking ;)

Answer:

1: 3x^2+2x+2

2: x = 1/4 or 4x+1. (I don't know which way your teacher likes it)

Step-by-step explanation:

Message if want work

Answer:

-212

Step-by-step explanation:

an = a1 + (n-1)d, so

a52 = a1 + 51d

a1= - 8

d = -4 ( because you take away 4 every time)

so a52 = -8 + 51(-4) = -212

Answer:

it would take 20 miles and cost 10 dollars.

Step-by-step explanation: Like up the equations so that 50x=40x+200. When you solve for x (number of miles) you find that x=20. Use 20 in either equation (0.5x or 0.4x+2) to get 10 (total cost).

So, the person's blood-alcohol level is estimated to be 40 mg/dL after 4 hours.

An exponential model for the person's blood-alcohol level can be represented by the function f(t) = A * e^(-kt) where A is the initial blood-alcohol level, k is the decay constant and t is the time in hours.

To find the decay constant k, we can use the known information that after 2 hours, 112.5 mg/dL remains. We can substitute the known values into the exponential function, and solve for k:

f(2) = A * e^(-2k) = 112.5

A = 200 mg/dL

200 mg/dL = 112.5 * e^(-2k)

k = ln(200/112.5)/(-2)

Using this value of k, we can now find the blood-alcohol level after 4 hours:

f(4) = A * e^(-kt) = 200 * e^(-k*4)

f(4) = 200 * e^(-1.6) = 200 * 0.20 = 40 mg/dL

Therefore, the person's blood-alcohol level is estimated to be 40 mg/dL after 4 hours.

It's worth noting that this model is based on the assumption that the blood-alcohol level decays exponentially, and many other factors like body weight, gender, metabolism, and the amount of alcohol consumed can affect the actual blood-alcohol level.

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a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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Answer:

x <-5 or x> 1/2

Step-by-step explanation:

I hope this helps! If it does would you please mark me brainliest?

The component of the data that a data analyst is most interested in is sample size.

Given,

To prevent results from being skewed or causing incorrect conclusions, we must identify the data element on which the data analyst should concentrate;

The data analyst;

A data analyst looks at data to uncover useful consumer insights and possible applications for the knowledge. They also tell the management of the business as well as other stakeholders of this information.

Although it is advisable for data analysts to have a foundational knowledge of statistics and mathematics, many of their responsibilities can still be carried out without it. However, knowledge in statistics, linear algebra, and calculus is often required for data analysts.

Here,

A data analyst's primary interest in the data is sample size

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Answer:

1.) 15.24 J

2.) 7.62 W

Step-by-step explanation:

Given that You do a pull-up, lifting yourself by 0.5 in 2 seconds. If your weight is 600 N,

Convert inches into metres

1 inches = 0.0254 metres

Work done = Force × distance

Work done = 600 × 0.0254

Work done = 15.24 J

Power is the rate at which work is done.

That is,

P = WD / time

Power = 15.24 / 2

Power = 7.62 W

Therefore, 15.24 Joule of work done must be done and 7.62 watt of power output must be required to lift the yourself.

The dividend, given the divisor (x - 3), quotient (-2x^3 + 4x^2 - 6x + 3), and remainder (7), is option C) -2x^4 + 10x^3 - 18x^2 + 21x - 2. This dividend satisfies the conditions of the given divisor, quotient, and remainder.

To find the dividend, we multiply the divisor by the quotient and add the remainder. In this case, the divisor is (x - 3) and the quotient is (-2x^3 + 4x^2 - 6x + 3). Multiplying the divisor by the quotient gives us:

(x - 3)(-2x^3 + 4x^2 - 6x + 3)

Expanding this expression, we get:

-2x^4 + 6x^3 - 4x^2 + 12x^2 - 6x + 18 - 6x + 18 - 9x + 9

Combining like terms, we have:

-2x^4 + 10x^3 - 18x^2 + 21x + 27

Since the remainder given in the question is 7, we subtract 7 from the expression above, resulting in:

-2x^4 + 10x^3 - 18x^2 + 21x - 2

Therefore, option C) -2x^4 + 10x^3 - 18x^2 + 21x - 2 is the correct dividend.

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a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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To find the constant speed at which Kate can obtain a gas mileage of exactly 19 miles per gallon, we need to set the equation equal to 19 and solve for s.

The given equation is:

\(m = \frac{-1}{2} |s - 55| + 25\)

Substituting 19 for m, we have:

\(19 = \frac{-1}{2} |s - 55| + 25\)

To isolate the absolute value expression, we subtract 25 from both sides:

\(19 - 25 = \frac{-1}{2} |s - 55|\)

Simplifying, we have:

\(-6 = \frac{-1}{2} |s - 55|\)

To remove the absolute value, we can consider two cases:

Case 1: s - 55 ≥ 0

In this case, the absolute value becomes s - 55:

\(-6 = \frac{-1}{2} (s - 55)\)

Solving for s, we have:

\(-6 = \frac{-1}{2}s + 27.5\\\\\frac{-1}{2} s = -33.5\\\\s = 67\)

Case 2: s - 55 < 0

In this case, the absolute value becomes -(s - 55):

\(-6 = \frac{-1}{2} (-(s - 55))\)

Solving for s, we have:

\(-6 = \frac{1}{2}s - 27.5\\\\\frac{1}{2} s = -20.5\\\\s = -41\)

However, since the speed should be within the range 40 ≤ s ≤ 70, the only valid solution is s = 67 mph.

Therefore, Kate can drive at a constant speed of 67 mph to obtain a gas mileage of exactly 19 miles per gallon.

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Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If the area of one block is A acre the expression to model the expression will be A×3×10×10 = 2.3 acres

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, A farmer plants 0.4 of a field of wheat. The field is 2.3 acres.

Area of field =  2.3 acres

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

There are 3 partitions with the 10 blocks in the row and 10 in the column.

Thus, if the area of one block is A acre the expression to model the expression will be A×3×10×10 = 2.3 acres.

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The value of the function f(x) at x = 1.477.

f(1.477) = 32.857

The value of the function g(x) at x = 20.

g(20) = 1.729

We have,

Two functions:

f(x) = b^x

g(x) = log_b(x)

Now,

From the table,

f(0.699) = b^0.699 = 5

Taking the logarithm of both sides with base b.

log_b(5) = 0.699

b = 5^(1/0.699)

b = 8.343

Now, we can find the value of f(1.477).

f(1.477) = b^1.477 = 8.343^1.477 = 32.857

Similarly, we can find the value of g(20).

g(20) = log_b(20) = log_8.343(20) = 1.729

Thus,

The value of the function f(x) at x = 1.477.

f(1.477) = 32.857

The value of the function g(x) at x = 20.

g(20) = 1.729

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\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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According to Baddeley and Hitch's research, the most important factor in determining whether rugby players will remember a particular game is the amount of time that has elapsed since the game was played.

Specifically, players were more likely to remember games that occurred early in the season and those that were particularly important or emotionally charged, while they were less likely to remember games that occurred later in the season or those that were less meaningful or emotionally significant.

This phenomenon is known as the "serial position effect" and has been observed in other contexts as well.

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The difference is that in an observational study, the researchers do not control treatment, and in an experiment, they do.

An experiment is a method used to verify or disprove a theory, as well as to determine something's effectiveness or likelihood.

An experiment vs an observational research differs fundamentally in that:

Members of a sample are measured or surveyed during an observational study without any attempt to manipulate them.

In an experiment, decisions are made under controlled conditions, subjects are divided into groups, and one group is given therapy while the other is left untreated. The main distinction between well-executed observational studies and experimental designs is that the replies of participants are unaffected, whereas in experiments, at least some participants are subjected to a treatment condition at random.

As a result, the researchers in an experiment control the therapy, but they do not in an observational study.

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The points are K(0, 6), L(-8, 0), J(9, 4).

Given that is a coordinate plane with Points K, L, J we need to determine the location of the points,

So,

You require the point's coordinates, which are made up of an x-coordinate (horizontal) and a y-coordinate (vertical), in order to label it on a coordinate plane.

So, Point K is at 6 units upwards from the origin so the point (0, 6) the x-intercept is zero.

Point L is 8 units vertically left side so the point is (-8, 0) here the y-intercept is zero.

Point J is 9 units vertically right side and 4 units upwards so the point is (9, 4).

Hence the points are K(0, 6), L(-8, 0), J(9, 4).

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The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Answer:

since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%

Step-by-step explanation:

Position vs. time graph is a graph that shows the position of an object over time. It can be a straight line or a curved line depending on the motion of the object.

What is graph ?

A graph is a mathematical structure used to represent relationships between objects. In a graph, objects are represented by vertices (or nodes) and relationships are represented by edges (or arcs). Graphs can be used to model a wide variety of real-world systems, including networks of roads, social networks, and the internet.

The position vs. time graph is a visual representation of an object's motion, where the position of the object is plotted on the y-axis and the time it took to reach that position is plotted on the x-axis. The graph helps to show the relationship between the position and time of an object in motion. The line on the graph can be either straight or curved, depending on the type of motion the object is undergoing. If the object is moving at a constant speed, the line will be straight. If the object is accelerating or decelerating, the line will be curved.

Position vs. time graph is a graph that shows the position of an object over time. It can be a straight line or a curved line depending on the motion of the object.

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Answer:

0.74

Step-by-step explanation:

Answer:

A) 24 square meters

Step-by-step explanation:

SA=6s²

SA=6*(2)²

SA=6*4

SA=24

SA

Answer:

1 x 106

Step-by-step explanation:

200,000,000 divided by 200 is equal to 1,000,000

Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1

The number of revolution the wheel makes in 7 miles is 4706 revolutions

Since the wheel is a circle, its circumference is travelled in 1 revolution.

So, circumference C = πd where d = diameter of wheel = 30 in

So, C = πd

= π × 30 in

= 30π in

= 94.25 in

Now, we need to find the number of revolutions the wheel makes when the tractor travels D = 7 miles.

Since 1 mile = 63360 in,

Converting miles to inches, we have D = 7 miles

= 7 × 1 mile

= 7 × 63360 in

= 443520 in

So, the number of revolution the wheel makes in 7 miles is N = D/C

= 443520 in/94.25

= 4705.89

≅ 4706 to the nearest whole number

So, the number of revolution the wheel makes in 7 miles is 4706 revolutions

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The function h(0) when evaluated is 3

From the question, we have the following parameters that can be used in our computation:

h(n) = 3(2)^n

Given that

h(0)

This means that

n = 0

Substitute the known values in the above equation, so, we have the following representation

h(0) = 3(2)^0

Evaluate

h(0) = 3

Hence, the value is 3

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