Ross goes on a hiking trip. He hikes 2000 feet before stopping to rest. He turns around and hikes back 1050 feet and rests again. After some time, he hikes the rest of the way back to his starting point. Sketch the graph to show the distance from his starting point compared to time. Use the graph to find the total distance that Ross hiked.

Helpp!

The answers to each part are mentioned below.

An function in mathematics defines a relationship between one variable (the independent variable {x})  and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.

Given are the questions regarding the functions.

Following are the key features of functions.

The process of graphing a polynomial function given the equation -

{ 3 } -

There are four types of discontinuities -

jump

point

essential

removable

The parent function of exponential functions is -

y = A(B)ˣ

{ 5 } -

The inverse of an exponential function is a logarithmic function.

for →

y = aˣ, a > 0, a ≠ 1

we can write →

y = [tex]$log_{a} x[/tex], a > 0, a ≠ 1

Therefore, the answers to each part are mentioned above.

To solve more questions on functions, visit the link below -

brainly.com/question/26182329

#SPJ1

Step-by-step explanation:

you'll have to make the chart simpiler

Answer:

9x + 10 < 20

I tutor just trust its right

Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2). Option D

Probability is a mathematical concept that describes the likelihood of an event happening in a given set of circumstances. It is expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. The closer the probability is to 1, the higher the likelihood of the event happening.

If we arrange the fractions in decreasing order we would have;

5/7 > 6/9 > 6/11

Learn more about probability:https://brainly.com/question/30034780

#SPJ1

Answer:

x+3/5

Step-by-step explanation:

i have the same grade in my level math

In response to the question, we may say that Therefore, the cost of a equation calculator is $10.7 and the cost of a protractor is $1.9.

Let the cost of one calculator be c and the cost of one protractor be p. Then we can write two equations based on the information given:

40c + 30p = 485 (Equation 1)

20c + 20p = 252 (Equation 2)

We can simplify Equation 2 by dividing both sides by 20:

c + p = 12.6 (Simplified Equation 2)

Now we can solve this system of equations using substitution. Solving Equation 2 for c, we get:

c = 12.6 - p

Substituting this expression for c into Equation 1, we get:

40(12.6 - p) + 30p = 485

Expanding and simplifying:

504 - 40p + 30p = 485

Solving for p:

-10p = -19

p = 1.9

Substituting this value for p into Simplified Equation 2, we get:

c + 1.9 = 12.6

Solving for c:

c = 10.7

Therefore, the cost of one calculator is $10.7 and the cost of one protractor is $1.9.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

The average hours per day spent watching TV among all students at the school. It only mentions a survey conducted on smartphone ownership among 50 students at the school .

To determine the average hours per day spent watching TV among all students, a separate survey or study would need to be conducted.he sample size of 50 is relatively small, so the confidence interval may be wider than if a larger sample was used. The confidence level of 95% means that if 100 independent samples were drawn from the population, 95 of the intervals would contain the true population proportion of smartphone ownership.

Find out  more about average hours

brainly.com/question/10259735

#SPJ4

The length of the shortest path the gecko can take to reach the fly is √170 feet.

The shortest path the gecko can take to reach the fly is a straight line from its starting position to the position of the fly. To find the length of this path, we can use the Pythagorean theorem.

Let's call the distance the gecko must travel along the ceiling x and the distance it must travel along the wall y. Then, using the Pythagorean theorem, we have:

x² + y² = d²

Where d is the distance between the two points.

We can find x and y by using the information given in the problem. The gecko starts one foot from the ceiling, so x = (8 - 1) = 7. It starts one foot from the back wall, so y = (12 - 1) = 11. The fly is one foot from the floor, so x = (8 - 1) = 7. It is one foot from the front wall, so y = (10 - 1) = 9.

Substituting these values into the equation, we have:

7² + 11² = d²

49 + 121 = d²

170 = d²

d = √170

Therefore, the length of the shortest path the gecko can take to reach the fly is √170 feet.

To know more about Pythagorean theorem, here

https://brainly.com/question/15631809

#SPJ4

The points on graph of  f(x) = 3 • 5x is (0, 0) and (1, 15).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

f(x) = 3 • 5x

let f(x)= y and put the values for x

At x= 1

y= 3 (5)

y= 15

At x =0

y=0

at x= 15

y= 225

So, the solution are (0, 0) and (1, 15).

Learn more about Equation here:

https://brainly.com/question/29657992

#SPJ1

Answer: 360 learners

Step-by-step explanation:

There are 30 learners per every 1 teacher. So for 12 teachers, there are 30 x 12 learners, which is equivalent to 360 learners.

Answer:

  1.075%

Step-by-step explanation:

You want the monthly periodic rate corresponding to an APR of 12.9%.

There are 12 months in a year, so the monthly rate is 1/12 of the annual rate:

  12.9%/12 = 1.075%

The monthly periodic rate is 1.075%.

__

Additional comment

The APR does not take compounding into account, so the effective annual rate may be higher.

95% t-interval for a population mean is Confidence Interval = [14.446, 15.554]

In statistics, estimating the value of a population parameter, like a population proportion or a population mean, is a common goal.

We normally choose a small, random sample to estimate these values, and then we compute the sample proportion or sample mean.

Then, in order to express our uncertainty over these estimations, we build a confidence interval.

To determine a confidence interval for a population proportion, we use the following formula:

The confidence Interval is equal to

Here is how to determine a population mean's 95% confidence interval:

The confidence Interval is equal to x z*(s/n).

Confidence Interval is equal to 15 1.96*(4/25).

Confidence Interval is equal to 15 1.568.

Interval of Confidence = [13.432, 16 .568]

Now imagine that we chose a 200-person sample size instead. Here is how we would determine the population's 95% confidence interval:

Confidence Interval = 15 ± 0.554

Confidence Interval = [14.446, 15.554]

learn more about Confidence Interval

https://brainly.com/question/29680703

#SPJ4

A geometric random variable is the number of 5s when rolling a die 35 times. (option 1)

This is due to the fact that rolling a 5 on any given roll has a probability of 1/6, and the number of 5s can be determined by counting the number of successes (rolling a 5) prior to the first failure (not rolling a 5).

If you roll a number other than 5, the expected number of unsuccessful iterations is 1/2pq, where p is the probability of success (1/6) and q is the probability of failure (5/6). Additionally, this can be expressed as (1-p)/p. Therefore, when rolling a die 35 times, the expected number of 5s is 35, or (1-1/6)/(1/6).

We can use the formula for the expected value of a geometric random variable, E[X] = (1-p)/p, where p is the probability of success, to demonstrate this mathematically. p is 1/6 in this case.

E[X] = (1-1/6)/(1/6) = 35 can be obtained by substituting this number into the formula. This indicates that 35 is the anticipated number of 5s after rolling a die 35 times.

Learn more about probability :

https://brainly.com/question/25870256

#SPJ4

Complete Question:

which of the following random variables is geometric?

Answer:

You can call them champion ice-skating sisters or identical champion ice-skaters.

According to the solving the amount of the principal investment is, $1200.

option A is correct

Simple interest is calculated without taking the impact of compounding into consideration. In many circumstances, interests compounds with each specified time of a loan, whereas simple interest does not. Simple interest is calculated as the principal sum multiplied by that of the cost of borrowing, multiplied by the number of periods.

Simple Interest(I)

=  P × R × T/100

A = P(1 + RT)

Given that,

A = $1422

R =  3.7%

T =  5 year

P  = ?

After 5 year total amount

1422 = P (1 + 0.037 × 5)

P  =   1422/( 1 + 0.037 × 5)

  =    1422/1.185

P  =    1200

Hence, the principal amount is $1200

To know more about simple interest check:

https://brainly.com/question/25845758

#SPJ4

According to the solving the amount of the principal investment is, $1200.

option A is correct

Simple interest is calculated without taking the impact of compounding into consideration. In many circumstances, interests compounds with each specified time of a loan, whereas simple interest does not. Simple interest is calculated as the principal sum multiplied by that of the cost of borrowing, multiplied by the number of periods.

According to the given data:

Simple Interest(I)

=  P × R × T/100

A = P(1 + RT)

Given that,

A = $1422

R =  3.7%

T =  5 year

P  = ?

After 5 year total amount

1422 = P (1 + 0.037 × 5)

P  =   1422/( 1 + 0.037 × 5)

 =    1422/1.185

P  =    1200

Hence, the principal amount is $1200

To know more about simple interest check:

brainly.com/question/25845758

#SPJ4

Answer:

x = 4/7 and y = 48/7

Step-by-step explanation:

We need to solve the system of equations using elimination method

-3x + 2y = 12....... equation 1

9x + y = 12...........equation 2

Multiply the 2nd equation with 2

18x + 2y = 24 ............equation 3

Now, subtracting equation 3 from equation 1

- 3x - 18x + 2y - 2y = 12 - 24

-21x = 12

x = 12/21 = 4/7

-3(4/7) + 2y = 12

-12/7 + 2y = 12

2y = 12 + 12/7

2y = 96/7

y = 48/7

Therefore, the   system of equations using elimination. −3x + 2y = 9 x + y = 12 is x = 4/7 and y = 48/7

Answer:

false

Step-by-step explanation:

The volume of the solid is 9375 cubic units with a semicircular base of radius 15 and square cross sections perpendicular to the base and parallel to the diameter.

Many perpendicular lines may be seen in nature. The sides of a set square, the arms of a clock at different times of the day, the corners of a blackboard, a window, and the Red Cross emblem are other examples.

Here,

Let x be the height of the washer and h be the width of the square part of the washer. Then, the radius of the circular hole in the washer is 15 - x, so the width of the washer is 2 * (15 - x). The volume of each washer is then given by:

V = π * (15 - x)^2 * x + h^2 * x

where h^2 = (2 * (15 - x))^2

Expanding h^2, substituting into the expression for V, and simplifying, we get:

V = π * (15 - x)^2 * x + 4 * (15 - x)^2 * x

= 5πx(15 - x)^2

The total volume of the solid is given by the definite integral of V from 0 to 15:

V = 5π ∫_0^15 x(15 - x)^2 dx

This integral can be evaluated using integration by substitution. Let u = 15 - x, so that du = -dx and x = 15 - u. Then:

V = 5π ∫_0^15 (15 - u) * u^2 * (-du)

= 5π ∫_15^0 u^2 * (15 - u) du

= 5π * [u^3/3 * (15 - u) - u^2/2 * (15 - u)^2 + u * (15 - u)^3/3]_0^15

= 5π * (225/3 - 15 * (225/2) + (15^4)/4)

= 5π * (225/3 - 3375/2 + 3375)

= 5π * (5625/3)

= 9375π

So the volume of the solid is 9375 cubic units of the solid with a semicircular base of radius 15 and cross sections perpendicular to the base and parallel to the diameter that are squares.

To know more about Perpendicular,

https://brainly.com/question/29290298

#SPJ4

To determine the price of the keyboard with the coupon, we need to know how much Tiana spent. Let's call the original price of the keyboard "x".

According to the coupon, Tiana will receive a discount of $150 for every $500 spent. So, if she spends x dollars, she will receive a discount of (x/500) * $150.

The price of the keyboard with the coupon will then be x - (x/500) * $150.

Since the original price is not specified, we cannot determine the exact price of the keyboard with the coupon.

The relation is displayed on the table is A. {(3,3)(3,7)(5,8)(9,0)}.

Relation is something that expresses a special relationship or connection between two sets. Relations are closely related to functions, where both are important in various branches of mathematics.

Functions in mathematics are different from understanding in everyday life. In everyday terms, function can be interpreted as a use or benefit.

A mathematician named Gottfried Wilhelm Leibniz (1646-1716), introduced that functions are used to express a relationship. Regarding this matter, the function can be interpreted as something special about a relation between two sets

Learn more about relation at

https://brainly.com/question/13519644

#SPJ1

In linear equation, The carbohydrate intake ranges between 129-286g

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

A diet with adequate proteins and carbohydrates can be given to an athlete (2-3 hours) before a sport.

Generally, 2-3g/kg body weight of Carbohydrates can be included in the diet (depending on the weight and height.

Here, the person weighs 86kgs (assuming the majority of the bodyweight is muscle mass)

Therefore, average carbohydrate intake can be – 85* 2 = 170g; or, 85*3 = 255g

Thus, the carbohydrate intake ranges between 129-286g

Learn more about linear equation

brainly.com/question/29739212

#SPJ4

Answer: y - ln2 = (1/2)(x - 2) or y = (1/2)x + ln2 - 1

Step-by-step explanation:

f(x) = lnx

f'(x) = 1/x

f(2) = ln 2 , so we have the slope = 1/2, and a point (2, ln2)

equation of tangent:

y - ln2 = (1/2)(x - 2)

y = (1/2)x + ln2 - 1

the four options guarantees the conditions.

ii)x=14 and y=21 are the values in the parallelogram ABCD.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Given that A city planner is laying out four streets that will form the boundary of a park.

She wants to be sure the park formed by the streets is a parallelogram.

The two streets are parallel to each other.

Angle 1 is corresponding angle to 56 degrees angle

m∠1=56 degrees.

Now angle 2 is 180-56=124 degrees.

m∠2=124 degrees

m∠1=m∠3

m∠3=56 degrees.

2. ABCD is a parallelogram

AB is parallel to CD

x+2=2x-12

14=x

Now BC=AD

3x=2y

42=2y

Divide both sides by 2

21=y

Hence, the four options guarantees the conditions.

ii)x=14 and y=21 are the values in the parallelogram ABCD.

To learn more on Quadrilateral click:

https://brainly.com/question/29934440

#SPJ1

Answer:

ok

Step-by-step explanation:

The diameter of Pool A is 26.84 meters. So, the diameter of Pool B is greater, and the circumference is greater by 0.56 meters.

The diameter is a straight line that passes through the center of a circle and touches two points on the circumference of the circle. The radius is half the length of the diameter.

The first step is to convert the radius of pool A to meters from feet:

44 x 0.305 = 13.42 meters

Diameter of Pool A = 2 x radius

2 x 13.42 = 26.84 meters

Circumference of a circle = πD

Where:

π  = 3.14

D = diameter

Circumference of Pool A = 3.14 x 26.84 meters = 84.28 meters

Circumference of Pool B = 3.14 x 27.02 = 84.84 meters

Difference = 84.84 - 84.28 = 0.56 meters

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

#SPJ1

y = 1/2 x + 1

y = 3/2x + 4        Use first equation to sub in for y

1/2 x + 1  = 3/2 x + 4

-3 = x      then use this value in one of the equations to calc  y

y = 1/2 x + 1

y = 1/2 (-3) + 1 =  - 1/2

It  is unknown what proportion of employees at it's-a-living are happy with their job. if we randomly sample 300 and 159 are happy, based on this sample for the proportion who are happy gives mean result.

An unknown statistical parameter's expected range of values is shown by a confidence interval, a statistical measure. The confidence interval is an estimate of the range of potential population mean values if the parameter is the population mean.

By using approximation to the binomial,

σ=√npq

= √300*.095*159

=212.8

When using observed (sample) data, a confidence interval is computed at a set degree of confidence (chosen prior to the computation of the confidence interval). This confidence level, like a 95% confidence level, represents the accuracy of the estimating process; it does not represent the degree to which it is confident that the computed confidence interval accurately represents the parameter under investigation.

Learn more about Binomial:

https://brainly.com/question/2193433

#SPJ4

one as I think

#1

opposite of an area

give me certificate 100% thanks