Mr. Markowski drives to his office one morning. After he
leaves his house, he drives at a constant speed until he
reaches his office. After work, he drives home at a constant
speed until he reaches a stop light. He waits at the stop
light and then continues at the same speed as before until
he gets home.
Which graph shows Mr. Markowski's distance from his
office?

Answer:

Image below.

Step-by-step explanation:

The maximum value of the original data set is 109.

To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.

Looking at the stemplot:

O 10 | 0 0 8 9 8 9 0 0 0

0 20 | 5 4 7 9 6

0 30 | 1 4 6 7 7 9 7

0 40 | 0 0 2 5 5 7 7 9 9 8

0 50 | 1 2 2 2 3 4 5 5 7 8 9 9

0 60 | 0 0 0 3 3 3 3 6 8

The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".

Therefore, the maximum value of the original data set is 109.

For such more question on value:

https://brainly.com/question/843074

#SPJ8

The regular selling price of the jewelry is $253.00. The sale price for the jewelry is $189.75. And the rate of markdown is 25%.

A jewellery store paid a unit price of $250 less 40%, 16 1/3 %, for a shipment of designer watches . The store's overhead is 65% of cost and the normal profit is 55% of cost.

Overhead and Profit means those costs incurred by you and paid to a General Contractor to perform and oversee covered repairs to the insured location. “Overhead and Profit” does not apply to independent or specialty contractors including, but not limited to, roofers, plumbers, electricians and painters.

It is given that the unit price of the watch is $250 and the discount rates are 40%, 16 +2/3 or 16.666666667%, and 8%. Therefore the purchase price of watches per unit can be estimated as:

Purchase price of watches per unit = Unit price*(1- first discount %)(1-second discount %)(1-third discount %)

Purchase price of watches per unit = 250*(1-40%)(1-16.66666667%)(1-8%)

Purchase price of watches per unit =115

Now, the overhead expense is 65% of the cost. So the overhead amount is Overhead amount = 65% of the cost

Overhead amount = 115*65%

Overhead amount = 74.75

Now, the profit is 55% of the cost. So

Profit amount = Cost *profit %

Profit amount =115*55%

Profit amount =63.25

a. Thus, the regular selling price can be estimated as:

Regular selling price = Unit purchase cost + overhead + profit

Regular selling price =115+74.75+63.25

Regular selling price =253.00

Therefore, the regular selling price of the watches would be $253.00

b. The sale price to break even would be equal to the cost of the watch plus overhead. It is the amount that is required to cover only the total cost of the product. So,

Break-even price = Cost + overhead

Break-even price =115 + 74.75

Break-even price = 189.75

Therefore, the break-even price is $189.75.

c. From above, the regular selling price is 253.00 and the break-even price is 189.75. Thus,

Mark-down rate to sell at break-even price = (Regular selling price-Breakeven price)/Regular selling price.

Mark-down rate to sell at break-even price = (253-189.75)/253

Mark-down rate to sell at break-even price = 0.25 or 25%

Therefore, the mark-down rate is 25%.

To learn more about markdown rate visit:

brainly.com/question/26711729

#SPJ1

The solution for p is 701/30 - 3p/7.

What is an equation?

A mathematical statement called an equation demonstrates the equality of two mathematical expressions. Based on the degree, there are three different sorts of equations. Equations that are linear, quadratic, and cubic. In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities.

Here, we have

Given: 84,000m + 36,000p = 1,962,800

We have to simplify this equation and find the value of p.

84,000m + 36,000p = 1,962,800

84,000m = 1,962,800 -36,000p

m = 1,962,800/84,000 -36,000p/84,000

m = 701/30 - 3p/7

Hence, the solution for p is 701/30 - 3p/7.

To learn more about the equation from the given link

https://brainly.com/question/25976025

#SPJ1

Answer:

\(The\) \(Answer\) \(Is:\) \(\frac{3}{9}\) \(&\)& \(\frac{5}{15}\)

Step-by-step explanation:

Divide by 4 , 2nd fraction Divide by 5:

3/4 ≠ 4/5

5/6 ≠ 6/5 We can already see it.

Divide by 3. . .

2/4 ≠ 3/4

Divide by 3 , 2nd fraction Divide by 5:

1/3 = 1/3 \(Perfect!\)

The answer is, \(\frac{3}{9}\) & \(\frac{5}{15}\)

A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.

Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.

Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.

To learn more about functions visit:

https://brainly.com/question/29051369?referrer=searchResults

#SPJ1

The value of x in the equation,  X^3= -125 is -5.

To find x in the above polynomial equation, we need to collect like terms and equate the expression to 0. To begin we can arrange the expression this way:

x^3 + 125 = 0

This means that we should find the figure which when multiplied three times would equate to 125. This figure is -5. So, when solved, we have:

-5³ + 125 = 0

-125 +125 = 0

So, the value for x in the equation above is -5.

Learn more about polynomials here:

https://brainly.com/question/4142886

#SPJ1

The expression that presents the number of trees that Shannon planted will be 6 - t.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Shannon planted t fewer trees than toby. Toby planted 6 trees.

Then the number of trees that Shannon planted will be given as,

⇒ 6 - t

The expression that presents the number of trees that Shannon planted will be 6 - t.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer: To graph this system of inequalities, we can first graph each inequality separately and then find the region where they overlap.

Starting with the first inequality, x - y ≥ 7, we can rearrange it to y ≤ x - 7 and graph the line y = x - 7. Since the inequality includes the line, we will use a solid line to represent it, and shade below the line to show the region where y is less than or equal to x - 7.

Next, for the second inequality, x + 2y < 5, we can rearrange it to y < (-1/2)x + 5/2 and graph the line y = (-1/2)x + 5/2. Since the inequality excludes the line, we will use a dashed line to represent it, and shade below the line to show the region where y is less than (-1/2)x + 5/2.

Now we can combine the two shaded regions to find the overlapping region where both inequalities are satisfied. This region is shown in the graph below:

     |          /

     |        /

     |      /

     |    /  

     |  /    

     |/      

---------------

The point that represents a solution to the system is the point where the two lines intersect. To find this point, we can solve the system of equations:

y = x - 7

y = (-1/2)x + 5/2

Substituting the first equation into the second, we get:

x - 7 = (-1/2)x + 5/2

Simplifying this equation, we get:

(3/2)x = 19/2

x = 19/3

Substituting this value of x into either of the original equations, we get:

y = 19/3 - 7 = 2/3

So the point that represents a solution to the system is (19/3, 2/3).

Step-by-step explanation:

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

<95141404393>

To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

https://brainly.com/question/32491116

#SPJ2

Answer:

The value of y  = 30 when x = 5

Step-by-step explanation:

We know that when 'y' varies directly proportional to 'x', we get the equation

y ∝ x

y = kx

k = y/x

where k is called the 'constant of direct variation'.

We are given

y = 12 when x = 2

so substituting y = 12 and x = 2 in the equation

k = y/x

k = 12/2

k = 6

Thus, the value of k = 6

We have to determine the value of y when x = 5

so substitute x = 5 and k = 6 in the equation

y = kx

y = 6(5)

y = 30

Therefore, the value of y  = 30 when x = 5

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Answer:

1/9 = 5/45 2/15 = 6/45

Step-by-step explanation:

9: 9, 18, 27, 36, 45

15: 15, 30, 45

Step-by-step explanation:

x = number of cards

the production costs (PC) per day are

PC(x) = 264 + 1.1x

the sales (S) are

S(x) = 5.1x

the profit (P) per day is sales minus costs

P(x) = S(x) - PC(x) = 5.1x - (264 + 1.1x) =

= 5.1x - 264 - 1.1x = 4x - 264

we need to find the value of x, so that P(x) = 52.

52 = 4x - 264

316 = 4x

x = 316/4 = 79

79 cards must be delivered daily to make a profit of $52.

Answer:

The farmer needs to increase production, since the current rate is 2 quarts per minute.

Step-by-step explanation:

Just took the lil quiz

EXPLANATION

In order to calulate long division, first we need to divide:

7 / 2530

The first number that is greater than 7 is 25, soDivide 25 by 7 to get 3

3

7/_ 2530

Multiply the quotient digit (3) by the divisor 7:

3

7 /__ 2530

21

Subtract 21 from 25:

3

7 /__ 2530

21

4

Bring down the next number of the dividend:

3

7 /__ 2530

21

43

Divide 43 by 7 to get 6:

36

7 /__ 2530

21

43

Multiply the quotient digit (6) by the divisor 7.

36

7 /__ 2530

21

43

42

Subtract 42 from 43:

36

7 /__ 2530

21

43

42

1

Bring down the next number of the dividend:

36

7 /__ 2530

21

43

42

10

Divide 10 by 7 to get 1:

361

7 /__ 2530

21

43

42

10

Multiply the quotient digit (1) by the divisor 7 to get 7

361

7 /__ 2530

21

43

42

10

7

Subtract 7 from 10:

361

7 /__ 2530

21

43

42

10

7

3

Answer: The solutions for long division of 2530 divided by 7 is 361 with remainder of 3.

361 Remainder 3

Vertex form: y = |x - h| + k

Vertex = (h, k)

G(x) was shifted 3 to the right and up 2.

G(x) = |x - 3| + 2

Hope this helps!! :)

Answer:

Step-by-step explanation:

m = (y2-y1) / (x2-x1)

m = (-8-0) / (-5-5) = 4/5  

note that it does not matter which points you chose to be second or first

then use slope point equation again it does not matter which point from the slope you use

y - y1 = m ( x - x1 )

y - 0 = 4/5 ( x - 5)

y = 4/5x -4

please if you find my answer helpful mark it brainiest

Answer:

Equation: 5x+5 = 30

x = 5

Step-by-step explanation:

Since vertically opposite angles are equal, then;

5x+5 = 30

Subtract 5 from both sides

5x +5-5 = 30-5

5x = 25

x = 25/5

x = 5

The required equation is 5x+5 = 30 (vertically opposite angles are equal)

The value of x is 5

Answer:

\({ \rm{f(x) = 2 {x}^{4} - 3 {x}^{2} + 5 }}\)

• for f(-1), substitute x with -1

The statement is false, as the PEMDAS order must be respected, that is, parenthesis operations are done first, then exponents, then multiplication/division and finally addition/subtraction.

The precedence of operations is defined by the PEMDAS acronym, with a highest to lowest order of precedence, as follows:

More can be learned about precedence of operations at brainly.com/question/550188

#SPJ1

Equivalent expressions are expressions that have equal values

The equivalent expressions of \(y^{-8}y^3x^0x^{-2}\) are \(x^{-2}y^{-5}\) and \(\frac{1}{x^2y^5}\)

The expression is given as:

\(y^{-8}y^3x^0x^{-2}\)

Express x^0 as 1

\(y^{-8}y^3x^0x^{-2} = y^{-8}y^3 \times 1 \times x^{-2}\)

Apply law of indices

\(y^{-8}y^3x^0x^{-2} = y^{-8 + 3}\times x^{-2}\)

\(y^{-8}y^3x^0x^{-2} = y^{-5}\times x^{-2}\)

Remove the product sign (x)

\(y^{-8}y^3x^0x^{-2} = y^{-5}x^{-2}\)

Rewrite as:

\(y^{-8}y^3x^0x^{-2} = x^{-2}y^{-5}\)

Rewrite as positive exponents

\(y^{-8}y^3x^0x^{-2} = \frac{1}{x^2y^5}\)

Hence, the equivalent expressions of \(y^{-8}y^3x^0x^{-2}\) are \(x^{-2}y^{-5}\) and \(\frac{1}{x^2y^5}\)

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Answer:

x>1 (inequality form)

(1,∞)

Step-by-step explanation:

Hope this helped :)

Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

Answer:

x= 35/11

Step-by-step explanation:

steps

35 = 11x

swich sides

11x = 35

Divide both sides by 11

11x/11 = 35/11

simplify

x = 35/11

The answer to the sum is: ∑ k⁴ (k  ranges from 1 to 6)

Express the sum in sigma notation :

According to the question,

1 = lower limit of summation

k = the index of summation

1 + 16 + 81 + 256 + 625 + 1296 = 1² + 4² + 9² + 16² + 25² + 36²

                                                 = 1⁴ + 2⁴ + 3⁴ + 4⁴ + 5⁴ + 6⁴ ( i.e 16 = 4²=(2²)²)

                                                 = ∑ k⁴ (k ranges from 1 to 6)

 So, The answer to the sum is - ∑ k⁴ (k ranges from 1 to 6).    

Read more about  sigma notation :

https://brainly.com/question/28163163

#SPJ4                                      

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

For more such question on cost. visit :

https://brainly.com/question/2292799

#SPJ8

Given:

m∠SPQ = 113 degrees

Let's find the measure of angle RQS, m∠RQS.

By applying the angle-arc relationship, we have:

m∠SPQ = measure of arc SQ = 113 degrees.

Since RQ is the diameter, measure of arc RQ = 180 degrees.

Now, let's find the measure of arc RS:

measure of arc RS = 360 - arc SQ - arc RQ

measure of arc RS = 360 - 113 - 180 = 67 degrees.

To find the m∠RQS, apply angle-arc relationship:

Therefore, the measure of angle RQS is 33.5 degrees.

ANSWER:

m∠RQS = 33.5°

Answer:

its B

Step-by-step explanation: its the only "division" thing. and 15-14 is 1 not 2 so its B

There are 67,600,000 possible standard license plates in this system.

The concept used to solve this problem is the multiplication principle of counting, which states that the total number of outcomes for a sequence of independent events is equal to the product of the number of outcomes for each individual event.

Here we have

Standard automobile license plates in a country display 2 digits, followed by 2 letters, followed by 3 digits.

For the first two digits,

As we know the number of digits = 10  [ from 0 to 9 ]

Hence, there are 10 possibilities for each digit (0-9),

The number of possibilities for 2 digits = 10×10 = 100 possibilities.

For the next two letters,

There are 26 possibilities for each letter (A-Z) as there are 26 letters

The number of possibilities for 2 letters = 26×26 = 676 possibilities.

For the last three digits,

There are 10 possibilities for each digit (0-9),

The number of possibilities for 3 letters = 10×10×10 = 1000 possibilities.

To get the total number of possible license plates,

Multiply the number of possibilities

= 100 × 676 × 1000 = 67,600,000

Therefore,

There are 67,600,000 possible standard license plates in this system.

Learn more about Principle of counting at

https://brainly.com/question/29078133

#SPJ1