He is able to jog 600 meters every minute, keeping a constant speed. After jogging for 8 minutes, he stops to have a drink of water. If he has to jog 9,700 meters to get to work, then what should his constant pace be if he has no more than 15 minutes to get to work? Helppp

Answers

Answer 1

Based on the distance that has to be jogged to get to work, and the current speed, the constant pace that is needed to get to work is 327 meters per minute

How to find the constant pace?

First, find out how much of the journey has already been jogged:

= Meters per minute x Number of minutes

= 600 x 8

= 4,800 meters

Distance left to get to work:

= 9,700 - 4,800

= 4,900 meters

The constant pace can be found by the formula for speed:

= Distance / time

= 4,900 / 15 minutes

= 327 meters per minute

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Related Questions

Graph the function. Then state the domain and range. f(x) = 1/4x-2

Answers

The domain and the range of the function f(x) = 1/4x - 2 is the all set of real values

What is the domain of a function?

The domain of the function is the set of input values of the graph

What is the range of a function?

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

How to determine the domain and the range?

The function is given as

f(x) = 1/4x - 2

Next, we plot the graph of the function (see attachment)

From the graph, we can see that the graph is a linear graph

This means that the function has a domain and a range of all set of real values

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If Jenna saves $20 buying an item for 40 percent off the regular price, then what were the regular price and the sales price?

Answers

Solution

For this case we can create the following proportional rule:

[tex]\frac{20}{100-40}=\frac{x}{100}[/tex]

For this case x = original price

Then solving for x we have:

[tex]x=100\cdot\frac{20}{60}=33.33[/tex]

Then the original price is 33.33$

Solve .graph the solution, state the interval notation and state the solution & set. 14x-6]

Answers

Starting with the inequality:

[tex]\lvert4x-6\rvert\le4[/tex]

We have two cases:

Case 1: 4x-6≥0

Since 4x-6≥0, then |4x-6| = 4x-6. Then:

[tex]\begin{gathered} 4x-6\le4 \\ \Rightarrow4x\le10 \\ \Rightarrow x\le\frac{10}{4} \\ \therefore x\le\frac{5}{2} \end{gathered}[/tex]

Case 2: 4x-6<0

Since 4x-6<0, then |4x-6| = -4x+6. Then:

[tex]\begin{gathered} -4x+6\le4 \\ \Rightarrow-4x\le-2 \\ \Rightarrow x\ge\frac{-2}{-4} \\ \Rightarrow x\ge\frac{1}{2} \end{gathered}[/tex]

The solution set of the inequality is all the numbers x which are greater or equal to 1/2 AND lower or equal to 5/2:

[tex]\frac{1}{2}\le x\le\frac{5}{2}[/tex]

The graph of the solution is a number line from 1/2 to 5/2 including the endpoints:

The interval notation of the solution, is:

[tex]x\in\lbrack\frac{1}{2},\frac{5}{2}\rbrack[/tex]

The solution set S is:

[tex]S=\lbrace x\in\R|\frac{1}{2}\le x\le\frac{5}{2}\rbrace[/tex]

If students recieve a whole numberof pointson every exam item. Can the exam be worth 80 points

Answers

Each response includes a thorough explanation of how it was arrived at. The student seemed to have been unsure of which approach to utilize so they hedged their chances by trying both in the hopes that one of them would work. (I don't think it was rewriting that they forgot to cross out; the student presented their response as "it is either X or Y," then in subsequent questions supplied parallel replies depending on whether X or Y was accurate.)

How can I give this question a grade?

Full points given that they provided the correct response

partial marks for being "half-right"?

Or perhaps they didn't get any points since they didn't fully comprehend the issue?

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What’s the correct answer answer asap for brainlist

Answers

Answer:

B

Step-by-step explanation:

Musicologists generally define the Classical period of music as ranging from 1730 to 1820. Classical era music followed the late Baroque period of music.

What is the solution to the equation below? Round your answer to two
decimal places.
7x = 77

Answers

Answer:

x = 11

Step-by-step explanation:

divide both sides by 7

x = 11

11 is the answer because 7 times 11 is 77 and if a someyhing is close to a number that means you times


A bag has six balls labeled A, B, C, D, E, and F.
One ball will be randomly picked, and its letter will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of choosing the letter A or C.
If there is more than one element in the set, separate them with commas.
Sample space:
Event of choosing the letter A or C:

Answers

Sample space={ A,B,C,D,E,F}

Event of choosing A or C = {A,C}

What is sample space?

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled: A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

This means that the sample space is given by:

Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from A or  C.

Then the sample space is:

Sample space= {A,C}

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please help. what are the x and y values here ​

Answers

Answer:

(6,0)

(-2,0)

2,-3

-3,-2

7,7

Step-by-step explanation:

Please help very confused

Answers

The correct explanations are;

2. Given

3. By definition of complementary angles.

5. ∠1 + ∠3 = 90°

6. By definition of complementary angles.

What are complementary angles?

Sum of two or more are angles are 90 degree then, angles are called Complementary angles.

Given that;

∠1 and ∠2 are complementary angles.

And, ∠2 ≅ ∠3

Now,

  Statements                                         Reasons

1. ∠1 is a complementary of ∠2.             1.  Given

2. ∠2 ≅ ∠3                                            2.  Given

3. m ∠1 + m ∠2 = 90°                             3.  By definition of                                          

                                                                complementary angles.

4. m ∠2 = m ∠3                                      4.  Definition of congruency.

5. m ∠1 + m ∠3 = 90°                            5.   Substitution property.

6. ∠1 is a complementary of ∠3.             6.  By definition of                                          

                                                                complementary angles.

Thus, The correct explanations are;

2. Given

3. By definition of complementary angles.

5. ∠1 + ∠3 = 90°

6. By definition of complementary angles.

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use the graph to determine which the ordered pair is a solution of the equation y equals negative X over 3 - 1

Answers

(3, - 2)

1) As the rule of the function has been given to us. Let's find out which point fits in the Solution for:

y=-x/3 -1

As we can see, the y-intercept is b=-1

3) So, (3, - 2) is the solution. Since (3, -2) belongs to the blue line

Checking algebraically

y=-x/3 -1

-2= -3/3 -1

-2 = -2 TRUE!

-

=

The telephone company offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls and Plan 2 charges $15 per month plus $0.03 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2 .
b. Explain the meaning of the answer to part a.

Answers

The fixed $30 unlimited calls charge for Plan 1 and the initial charge as well as a charge per call of $0.03 calls in Plan 2 gives;

a. The inequality that indicates the number of calls for which Plan 1 is more economical than Plan 2 is presented as follows;

30 > 15 + 0.03•x

Which gives;

x > 500

b. The meaning of the inequality, in part a. is that Plan 1 is more economical than Plan 2 when more than 500 calls are made

What is an inequality?

An inequality makes a comparison between two values that are not equal.

The given parameters are;

The billing plan for Plan 1 is presented as follows;

Charges, C = $30

The charges of the billing plan for Plan 2 is presented as follows;

C = $15 + $0.03×x

Where;

x = The number of calls made per month

a. The inequality that can be used to find the number of monthly calls for which Plan 1 is more economical than Plan 2 is found as follows;

At the start of registration for each plan, we have;

Cost of Plan 1 = $30

Cost of Plan 2 = $15 + $0.03 × 0 = $15

Therefore, Plan 2 is initially more economical than Plan 1

At the point (or number of calls) at which the expenses for both plans are the same, we have;

30 = 15 + 0.03 × x

Which gives;

x = (30 - 15)/0.03 = 500

From the above equation, we have that after 500 calls, the expenses of both plans will be the same

The inequality that gives the number of calls for which Plan 1 is more economical than Plan 2 is therefore;

30 > 15 + 0.03•x

Which gives;

x > 500

b. The meaning of the inequality, x > 500 is that Plan 1 is becomes more economical than Plan 2 when a person makes more than 500 calls in a month

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what is the discriminant of the equation-x^2-9x-9=0

Answers

Given data:

The given expression is -x^2-9x-9=0.

The descriminant of the given equation is,

[tex]\begin{gathered} D=(-9)^2-4(-1)(-9) \\ =81-36 \\ =45 \end{gathered}[/tex]

Thus, the descriminant of the given equation is 45.

find angle y If the opposite side is 12 and the adjacent side is 11mm

Answers

Answer:

answer is 47.49 because tan theta is equals to 12 / 11 which is 1.09091.

So tan-¹(1.09091) = 47.49

2 printing machines of a printing house can complete the printing work of the required number of Excel in Mathematics textbooks in 20 days. After printing the books for 8 days, if 1 more machine was added, in how many days would the remaining work be completed?​

Answers

The remaining work can be completed in if 2 printing machines of a printing house can complete the printing work in 20 days, After printing the books for 8 days, if 1 more machine was added, is 8 days.

What is addition?

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Given:

2 printing machines of a printing house can complete the printing work in 20 days,

After printing the books for 8 days, if 1 more machine was added,

Assume the total work is x,

Calculate the amount of work done in 8 days by both machines as shown below,

The amount of work done in 8 days = x / 20 × 8

The amount of work done in 8 days = 2x / 5

Calculate the remaining work = x - 2x / 5

The remaining work = 3x / 5

Calculate the time taken to complete the remaining work,

Time = (3x / 5) / (3x / 40) = 8 days

Thus, the total time is 16 days.

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Determine whether the statement is true or false. If​ false, correct the​ right-hand side of the statement. 0 Question content area bottom Part 1 Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice. A. The statement is true. B. The statement is false. The correct statement is enter your response here. ​(Simplify your​ answer.)

Answers

Based on the given statement of hy⁰ = 0, the answer is B. The statement is false. The correct statement is hy⁰ = 1.

Why is the mathematical statement wrong?

The statement given is that hy⁰ = 0. This is false because of the mathematical rule that whenever a number or figure is raised to the power of 0, the result would be that the answer is 1.

For instance:

2 ⁰ = 1

56 ⁰ = 1

8676⁰ = 1

From hy ⁰ = 0, we take the value of y⁰:

y ⁰ = 1

If y ⁰ = 1, then it means that on the right hand side of the statement, we would have the expression h(1).

This therefore means that the equation hy⁰ = 0 is false because h(1) is h and so the correct statement is:

hy ⁰ = 1

Rest of the question is:

Determine whether the statement is true or false. If false, correct the right-hand side of the statement. hyº = 0

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ANSWERS ASAP PLEASEEE

Answers

y = 4x - 9

I hope this helps

After many studies, a researcher finds thatthe probability that a word-recognitionprogram correctly interprets a hand-writtenword is 10. How many words out of40 would the researcher expect theprogram to correctly interpret?

Answers

Given:

The probability that a word-recognition the program correctly interprets a hand-written word is:

[tex]=\frac{9}{10}[/tex]

Find-:

How many words out of 40 would the researcher expect the program to correctly interpret?

Explanation-:

the probability that a word-recognition the program correctly interprets a hand-written word is:

[tex]=\frac{9}{10}[/tex]

For 40 world is:

[tex]\begin{gathered} =\frac{9}{10}\times40 \\ \\ =9\times4 \\ \\ =36 \end{gathered}[/tex]

So, there are 36 words.

Let y² = x² + sin(xy). Find using implicit differentiation.​

Answers

By using implicit differentiation, we get dy/dx=(2x+cos⁡(xy)y)/(-xcos(xy)+2y)

What is implicit differentiation?

Implicit differentiation is the process to finding the derivative of the implicit function.

We have given,

y^2=x^2+sin⁡(xy)

Differentiate with respect to x, and using product rule

2y dy/dx=d/dx(x^2+sin⁡(xy))

2y dy/dx=(dx^2)/dx+(dsin(xy))/dx

2y dy/dx=2x+cos⁡(xy)(d(xy))/dx

2y dy/dx=2x+cos⁡(xy)[y+x dy/dx]

2y dy/dx=2x+ycos(xy)+xcos⁡(xy)dy/dx

2y dy/dx-xcos(xy)  dy/dx=2x+ycos(xy)

On simplification, we get

dy/dx=(2x+xcos(xy))/(-xcos(xy)+2y)

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HELP ME WITH THESE THREE QUESTIONS PLEASE (GIVING BRAINLIEST TO THE BEST ANSWER.) 90 points

The perimeter of the figure is 18 units. Complete the statements to find the side lengths.


1. Find the distance from A to B. Explain how you found this distance.



2. Add the distances of the vertical and horizontal segments. These are the distances from A to B, B to C, and C to D. Show how you found the total.


3. Use the perimeter to find the length of segment AD. This is the distance from A to D. Explain how you found your answer.

Answers

From the given image, we have that:

1. The distance from A to B is of 6 units.

2. The lengths are given as follows:

Vertical semgents: AB = 6, CD = 3.Horizontal segment: BC = 4.

3. The length of segment AD is of 5 units.

What are the side lengths?

When two points have one equal coordinate, as is the case in this problem for AB, CD and BC, the distance is given by the subtraction of the different coordinate.

Hence, considering the coordinates of the vertices on the given image, the distances are given as follows:

AB = 2 - (-4) = 2 + 4 = 6 (vertical segment as the y-coordinate is different).CD = 2 - (-1) = 2 + 1 = 3 (vertical segment as the y-coordinate is different).BC = 3 - (-1) = 3 + 1 = 4 (horizontal segment as the x-coordinate is different).

The perimeter of a polygon is the sum of the lengths of all the outer sides of the polygon, hence:

P = AB + CD + BC + AD.

The perimeter in this problem is of 18 units, hence the length of AD is given as follows:

18 = 6 + 3 + 4 + AB

13 + AB = 18

AB = 5 units.

What is the missing information?

The figure is missing and is given by the image at the end of the answer.

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State the adjacent side for the angle marked as x in the picture.

Answers

Answer:

Explanation:

In

Two friends are both pregnant, and find out they are each expecting twins!

Let A be the event that one friend is pregnant with identical twins, and note that P(A)=0.0045.
Let B be the event that the other friend is pregnant with fraternal twins, and note that P(B)=0.01.
A and B are independent events. What is the probability that one friend is pregnant with identical twins, and one friend is pregnant with fraternal twins?

Give your answer as a percent, rounded to four decimal places if necessary.

Answers

The probability that one friend is pregnant with identical twins, and one friend is pregnant with fraternal twins is 0.000045.

What is the probability?

From the information illustrated,

Let A = event that one friend is pregnant with identical twins, and note that P(A)=0.0045.

Let B = event that the other friend is pregnant with fraternal twins, and note that P(B)=0.01.

Therefore, the probability will be gotten by using the multiplication for two independent events. This will be:

= P(A) × P(B)

= 0.0045 × 0.01

= 0.000045

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Find the value of 12.56 is multiplied by 8.8 and result is divided by 1.57.

Answers

Given:

12.56 is multiplied by 8.8 and the result is divided by 1.57.

To find the final result:

First, we multiply 12.56 by 8.8.

We get,

[tex]12.56\times8.8=110.528[/tex]

Next, the result 110.528 is divided by 1.57.

So, we get

[tex]\frac{110.528}{1.57}=70.4[/tex]

Hence, the answer is 70.4.

The city is issuing bonds to raise money for a building project. You obtain a $6700 bond that pays 6% interest annually that matures in 8 years. How much interest will you earn?

Answers

The interest will earn is 3216

Interest Earned = Amount * Rate of Interest * Time

Interest Earned = 6700*6%*8 = [tex]6700*\frac{6}{100}*8[/tex]

Interest Earned = 3216

Interest Calculator

The term "interest" refers to the additional revenue received by the investor over and above the investment or the additional debt owed by the borrower over and above the amount borrowed. Simple interest and compound interest are the two different kinds of interest. The sorts of interests are covered in further detail in the interest formula. Let's explore the interest formula in further detail and go through several cases.

Interest Formula: What is it?

Simple interest and compound interest are both included in the interest formula. Interest is the cost a borrower pays a lender for a loan. This additional sum, or the interest, must be paid in addition to the loan itself. The Simple Interest Formula and the Compound Interest Formula are both discussed in the interest formula Compound Interest Formula. The interest formula for both is

Simple Interest = P × R × T

Compound Interest = [tex]P(1 + r/n)^{nt}- P[/tex]

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A store and a bank would both charge fees for

Answers

Answer:A returned check

Step-by-step explanation:

Answer: D. bouncing a check

Bouncing a check

When a check is deposited in a bank, or when it is written out to a store teller to ultimately deposit in the store bank, the funds are tracing back from an origin bank account. When the check bounces a fee is then charges by both the bank out of which the check is written (for non-sufficient funds) and by the payee. If the payee is a store they will often charge fees that are charged back to them by their bank of deposit."

A rental car company charges $29 per day to rent a car and $0.05 for every mile driven. Santiago wants to rent a car, knowing that: He plans to drive 400 miles. He has at most $100 to spend. What is the maximum number of days that Santiago can rent the car while staying within his budget?

Answers

Answer: He can only go 2 days

Step-by-step explanation:

Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3,0 as a zero of multiplicity 1, and 2 as a zero of multiplicity 1.

Answers

Answer:[tex]f(x)=x^5+4x^4-16x^2-16x[/tex]Explanation:

The zeros and their multiplicities are:

-2 with multiplicity 3

0 with multiplicity 1

2 with multiplicity 1

The polynomial function is therefore given as:

[tex]\begin{gathered} f(x)=(x+2)^3(x-0)^1(x-2)^1 \\ f(x)=x(x-2)(x+2)^3 \\ f(x)=(x^2-2x)(x^3+6x^2+12x+8) \\ f(x)=x^5+6x^4+12x^3+8x^2-2x^4-12x^3-24x^2-16x \\ f(x)=x^5+4x^4-16x^2-16x \end{gathered}[/tex]

Therefore, the polynomial function of degree 5 is:

[tex]f(x)=x^5+4x^4-16x^2-16x[/tex]

John Baxley borrowed $25,000 for one year. He borrowed some at 13% interest and the rest at 50% interest. At the end of the year, he owed $36,000 in interest how much did he borrow at each rate?

Answers

The amount borrowed at 13% interest is  $20,945.95.

The amount borrowed at 50% interest is $4,054.05.

How much is borrowed at each rate?

The first step is to formulate a system of equations:

a + b = $25,000 equation 1

0.13a + 0.5b = (36,000 - 25,000

0.13a + 0.5b =11,000 equation 2

Where:

a = amount borrowed at 13% interest

b = amount borrowed at 50% interest

Take the following steps to determine the value of b:

Multiply equation 1 by 0.13

0.13a + 0.13b = 3,250 equation 3

Subtract equation 3 from equation 2

7,750 = 0.37b

b = $20,945.95

a = $25,000 - $20,945.95 = $4,054.05

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help meeeeeeeeeeeeeee

Answers

Answer:

Rose.

Step-by-step explanation:

Because the number is positive, it does not symbolize a withdrawal, it shows. deposit.

I hope this helps!

P.S, Brainliest if correct, thanks!

rose since it’s positive

True or false?
Barriers that keep a business from entering a market can lead to perfect competition.

Answers

Answer: true

Step-by-step explanation:

leads to a monopoly

Can anyone help me with this?

Answers

a) 13.4, 16.3, 14.2, 15.4, 14.2, 17.5
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