Brainliest to correct!! Please help :)


A truck enters a highway driving 60mph. A car enters the highway at the same place 5 min later and drives 71 mph in the same direction. From the time the car enters the highway, how long will it take to pass the truck?

It will take ___ minutes?

One way to show a function is 1-1 is to show that if two outputs are the same, then the inputs had to have been the same as well:

   If f(a) = f(b), then a=b.

If you can show this, you've shown that each output is paired with a unique input, so the function is 1-1.

For this function, we'd first start assuming that f(a) = f(b):

              f(a) = f(b)

         -3a+5 = -3b+5

Now we'll solve this for a:

        -3a + 5 = -3b + 5

   -3a + 5 - 5 = -3b + 5 - 5

               -3a = -3b

      -3a ÷ (-3) = -3b  ÷ (-3)

                   a = b

This shows that the only way the outputs are the same is if the inputs are the same, which means each output comes from a unique input, so the function is 1-1.

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Step-by-step explanation:

Let the speed of the current be c km/h.

When the ship sails with the current, its effective speed is (50 + c) km/h.

When the ship sails against the current, its effective speed is (50 - c) km/h.

We know that the distance traveled is the same in both cases, which is 60 km.

Let's use the formula:

time = distance / speed

When sailing with the current, the time taken is:

60 / (50 + c)

When sailing against the current, the time taken is:

60 / (50 - c)

We know that when sailing against the current, it takes 0.5 hours more time than when sailing with the current:

60 / (50 - c) = 60 / (50 + c) + 0.5

Simplifying the equation, we get:

60(50 + c) = 60(50 - c) + 0.5(50^2 - c^2)

3000 + 60c = 3000 - 60c + 1250 - 0.5c^2

Simplifying further,

120c = 1250 - 0.5c^2

0.5c^2 + 120c - 1250 = 0

Solving the quadratic equation by factoring or using the quadratic formula, we get:

c = 10 km/h (ignoring the negative root)

Therefore, the speed of the current is 10 km/h.

Answer: 50km/h, 60km, 0.5 hr

Step-by-step explanation:

The fox population after 30 years is 675

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

Initial population =75

Rate of growth = Triples every 15 years

Year = 30 years

The equation of the function can be represented as

y = 75 * 3^x

So, we have

x = 30/15

Evaluate

x = 2

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

y = 75 * 3^2

Evaluate

y = 675

Hence, the population is 675

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Answer: 16

Step-by-step explanation:

To get from 3 to 12, you multiply by 4

To get from 5 to 20, you multiply by 4

So you just multiply 4 by 4 to get x

Answer:

x = 16

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{x}{4}\) = \(\frac{20}{5}\) = 4 ( multiply both sides by 4 to clear the fraction )

x = 16

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:

Step-by-step explanation:

Answer:

(x+6)^2 + (y+1)^2 = 38

Step-by-step explanation:

correct on edge :)

The length of the arc of the circle will be 19.8 ft.

The arc of the circle is the distance of the circumference of the circle formed sector of the circle at a particular angle.

The formula for the length of the arc of the circle will be given as:-

Arc = Angle x radius

We have Angle = 1.1 radians Radius = 18ft

Arc = 1.1 x 18

Arc = 19.8 ft.

Therefore the length of the arc of the circle will be 19.8 ft.

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Answer:

create a proportion

Step-by-step explanation:

.7/.1 = x/1

.1x = .7

Answer:

1/3+1/8+2/6=19/24-5=1/24

From the given parameters, the fraction of time spent doing other things is 5/24

The given parameters are:

Sleep = 1/3

Homework = 1/8

Playing = 2/6

Doing other things = 5 hours

There are 24 hours in a day.

So, the fraction of time spent doing other things is the amount of time doing other things divided by the number of hours in a day

So, we have:

Time = 5/24

Hence, the fraction of time spent doing other things is 5/24

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The cubic model of the data is y=0.68x³ - 15.29x² + 92.23x + 123.62 and the value of y is $361.82 on the 15th day.

A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.

It is given that:

an ice cream truck operator tracks total daily sales rounded to nearest dollar for 14 days

The cubic regression will be:

y = ax³ + bx² + cx + d

Plug the values of x and y from the data set and get the values of a,b,c,and d:

After calculating:

y=0.68x³ - 15.29x² + 92.23x + 123.62

Thus, the cubic model of the data is y=0.68x³ - 15.29x² + 92.23x + 123.62 and the value of y is $361.82 on the 15th day.

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Answer:

Distributive Property

Step-by-step explanation:

It looks like you are multiplying the 6 to both the 3 and 8.

Answer:

0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they survive the first year, or they do not. The probability of an employee surviving the first year is independent of other employees. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

A San Francisco-based tech firm is able to keep 80% of its new employees after one year.

This means that \(p = 0.8\)

Q1. What is the chance that two randomly sampled new employees will both be able to survive their first year

This is P(X = 2) when n = 2. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{2,2}.(0.8)^{2}.(0.2)^{0} = 0.64\)

0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year

Answer:

  y = -x +3

Step-by-step explanation:

You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For the given equations, we can put them in this form to find the desired parameters.

  -3y = -9 +3x

  y = -x +3 . . . . . . . . . . divide both sides by -3

We observe that the y-intercept is +3, which we will need for our answer.

The slope-intercept form of the second equation is ...

  -2x -2y = -8

  x + y = 4 . . . . . . . . . . divide by -2

  y = -x +4 . . . . . . . . . . subtract x

We observe that the slope (coefficient of x) is -1, which we will need for our answer.

We want the equation of the line with slope -1 and y-intercept 3. It is ...

  y = -x +3 . . . . . . . . . . same as the equation of the first line

__

Additional comment

The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)

The correct answer is M. In the circular flow model, export spending is the flow of money that occurs when goods and services produced domestically are sold to foreign countries.

From the given options, the flow that represents export spending is flow M, which is the flow of goods and services from the firms to the foreign sector. Flow M represents the export of goods and services produced domestically to foreign countries, which generates income and foreign exchange for the domestic economy. The other options listed do not represent export spending but rather represent other flows such as household consumption (flow A), factor payments (flow F), government spending (flow G), and imports (flow N).

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Answer:

False

If the positive number is greater than the negative, then it will stay positive.

say the question is 5+ -3.

The answer would be 2

Answer:

The length of a 180° arc of a unit circle is π ≈ 3.14 units.

Step-by-step explanation:

Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to

... (180°/360°) × circumference = (1/2)×circumference

For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.

Answer:

I can't give a "smart" explanation but the answer is D) 3.14 units

Answer:

c. categorical

Step-by-step explanation:

                     Categories of the record

      1                       2                  3               4

Freshman      Sophomore     Junior        Senior

This is simply a categorical arrangement of students in the college by the researcher who is interested in the variable, class standing. So option C is correct

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

A).4m^(+5)

B).2m^ (+7)

Step-by-step explanation:

First let me convert the expression to words for easy simplification and evaluation.

2m squared times 2m to the power 3.

= 2m² * 2m³

m to the power 4 times 2m to the power 3

= m⁴ * 2m³

So to evaluate.

We just multiply and get our answer.

For 2m² * 2m³

= (2*2)(m²*m³)

= 4(m(²+³))

= 4m^(+5)

For m⁴ * 2m³

= 2(m⁴*m³)

= 2m(⁴+³)

= 2m^ (+7)

Answer:

√2

Step-by-step explanation:

√3 x√2/√3 =√2

Answer:

 \(\sqrt{2}\)

explanation:

\(\frac{\sqrt{6} }{\sqrt{3} }\)

= \(\sqrt{2}\)

(Decimal: 1.414214)

Answer:

The person used 1/10 (one tenth) of the can to paint one chair.

Step-by-step explanation:

If she used 9/10 of the can to paint 9 chairs using same amount with each, then for each chair she used:

9/10 divided by 9 = 9/10 * 1/9 = 1/10 of the can.

Answer:

A because it shows that the calculations are correct as well as combination pattem

Answer:2

Step-by-step explanation:I DONT REALLY GIVE A THING I NEED POINTS.