Find the side labeled x.

The piecewise function of the travel of the car is now described in detail:

[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]  

[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex],  [tex]0.5\le t < 3.5[/tex]  

[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex],  [tex]3.5\le t \le 4[/tex]  

A piecewise function is a group of functions working on certain intervals, which corresponds to three expressions in this case. Likewise, the car moves at constant speed and the resulting distance is equal to the sum of initial position ([tex]x_{o}[/tex]), in miles, and the product of speed (v), in miles per hour, and time (t), in hours.

Then, the piecewise function of the travel of the car is now described in detail:

[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]   (1)

[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex],  [tex]0.5\le t < 3.5[/tex]   (2)

[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex],  [tex]3.5\le t \le 4[/tex]    (3)

The map with key information of velocities is missing. We proceed to show the required information:

City - 30 miles per hour

Highway - 60 miles per hour

Mountain - 45 miles per hour

To learn more on piecewise functions, we kindly invite to check this verified question: https://brainly.com/question/17966003

Answer:

The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.

Due to this similar triangle the segment formed by the parallel line are proportional segment.

The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.

The map of the zoo is attached below.

The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.

Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,

[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]

Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.

Learn more about the similar triangle here;

https://brainly.com/question/14285697

Answer:

28

Step-by-step explanation:

Did on edge 2022

The number of movies that are 2.5 hours long that Cora watched is 10 hours.

a + b = 30 equation 1

1.5a + 2.5b = 55 equation 2

Where:

a = movies that are 1.5 hours long

b = movies that are 2.5 hours long

Multiply  equation 1 by 1.5

1.5a + 1.5b = 45  equation 3

Subtract equation 3 from 2

1b = 10 hours

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Answer:

Step-by-step explanation:

Answer:

1,620

Step-by-step explanation:

L x W x H

L = 15

W = 12

H = 9

15 x 12 = 180

180 x 9 = 1620

Answer:

240

Step-by-step explanation:

because each side is 60 inches so do 60x4 and you get 240

Answer:

Option D!

Step-by-step explanation:

Hope this helps.

Answer:

-5 ; -3 ; -1.5 ; 0 ; 11 (**Quotient order**) -30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4  (** Division Problem Order which is the Original Order**)

Step-by-step explanation:

Here are your division problems:

-30/6 ; 0/-20 ; -44/-4 ; 21/-7 ; - (-3/-2)

First, do the -30 divided by 6

The rule when dividing with a negative and positive is you divide normally but have a negative for your answer.

30 divided by 6 is 5 but carry the negative due to the rule.

First one is -5

Next,

This one is simplistic,

It doesn't matter if it is negative anything divided by 0 is 0

Second one is 0

The next one is -44 divided by -4.

The rule when dividing with negative and negative is they cancel out and become a positive answer.

44 divided by 4 is 11

Third is 11

21 divided by -7 is the same as the first one, divide normally and carry negative.

21 divided by 7 is 3 but carry the negative.

Fourth is -3

Lastly,  we need to use the rules once again. the negatives cancel but you still have a negative. This shall be a negative answer.

Here's the twist. 3 can't divide into 2 easily. You need to get a decimal which is fine.

Fifth is -1.5

Now with all of our numbers:

-5, 0, 11, -3, and -1.5 you need to order them from least to greatest.

Rule: The farther you go out with negatives the smaller they are for example like -12.

-5 is first

-3 is second

-1.5 is third

0 is fourth

11 is fifth

-5 ; -3 ; -1.5 ; 0 ; 11 is the quotient order

-30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4 is the division problem order

Answer:

to struggle to succeed when chances are bad

Step-by-step explanation:

She got nervous and froze when she thought she was going to lose.

Answer:

2/3

Step-by-step explanation:

Looking at the graph, it looks like the line goes through (6,10) and (-6,-8). We can "subtract" the points like so:

(6-(-6))/(10-(-8))

=12/18

=2/3

You can remember this trick as "rise over run".

I hope this solution helped you. Happy mathing!

Answer:

1.[tex]8m-2n[/tex]
2.[tex]-2b+5[/tex]
3.[tex]-8c+46[/tex]

Step-by-step explanation:

Given the following questions:

[tex]3m-2n+5m[/tex]
[tex]-b-b+5[/tex]
[tex]50-9-8c+5[/tex]

To simplify the following we are going to have to regroup and combine like terms which means we are going to use inverse of operations on terms with similar variables.

Question one:
[tex]3m-2n+5m[/tex]
[tex]3m-2n+5m=3m+5m-2n[/tex]
[tex]3m+5m-2n[/tex]
[tex]3m+5m=8m[/tex]
[tex]=8m-2n[/tex]

Question two:
[tex]-b-b+5[/tex]
[tex]-b-b=-b+-b=-2b[/tex]
[tex]=-2b+5[/tex]

Question three:
[tex]50-9-8c+5[/tex]
[tex]50-9-8c+5=-8c+50-9+5[/tex]
[tex]-8c+50-9+5[/tex]
[tex]50-9=41[/tex]
[tex]-8c+41+5[/tex]
[tex]41+5=46[/tex]
[tex]=-8c+46[/tex]

Which means your answers are "8m - 2n, -2b + 5, and -8c + 46."

Hope this helps.

Based on the discount rate and the sales tax, the original price of the computer was $750.

First find the price before tax. This can be found as:

= Computer price / (1 + tax)

= 688.50 / (1 + 8%)

= $637.50

Then find the price without the discount as:

= Price without tax / (1 - discount rate)

= 637.50 / (1 - 15%)

= $750

Find out more on discounts at https://brainly.com/question/1548141.

A demand curve shows the quantity demanded of a product at each price.

Your information is incomplete as the table isn't given. Therefore, an overview will be given.

A demand curve simply means a graphical representation of the relationship between price and quantity demanded.

In this case, a demand curve shows the quantity demanded of a product at each price. The profit maximizing price is when the marginal cost equals marginal revenue.

Learn more about demand curve on:

https://brainly.com/question/1486483

The profit-maximizing price is when the marginal cost equals marginal revenue.

An individual’s utility-maximizing choices can lead to a demand curve.

Demand can be defined as the total amount of goods or services that consumers are willing and able to purchase at a given price.

In Economics, there are primarily two (2) factors that affect the availability and the price at which goods and services are sold or provided, these are demand and supply.

The marginal decision rule—generally produce downward-sloping demand curves.

This section shows how an individual’s utility-maximizing choices can lead to a demand curve.

Hence, The profit-maximizing price is when the marginal cost equals marginal revenue.

Learn more about the demand curve on:

brainly.com/question/1486483

#SPJ4

The area of each given square is:

Part A: 1/4 cm²

Part B: 9/47 units²

Part C: 1.89 inches²

Part D: 0.01 meters²

Part E: 12.25 cm²

Area of a square, with side length, s, is: A = s².

Part A:

s = 1/2 cm

Area = (1/2)² = 1/4 cm²

Part B:

s = 3/7 units

Area = (3/7)² = 9/47 units²

Part C:

s = 11/8 inches

Area = (11/8)² = 1.89 inches²

Part D:

s = 0.1 meters

Area = (0.1)² = 0.01 meters²

Part E:

s = 3.5 cm

Area = (3.5)² = 12.25 cm²

Learn more about area of a square on:

https://brainly.com/question/24579466

Answer:

$3.40

Step-by-step explanation:

Look at image above...

Answer:

6.38%

Step-by-step explanation:

To answer questions like these it helps to work backwards. We know that sales tax is an added percentage of the cost of a product onto total.

So we get this sort of image:

Total = Original Cost x (1 + %tax)

Now we can start putting the numbers from the question into this equation.

So we know the total:

27.50 = Original Cost x (1+%tax)

We know the original cost. It must be the total amount minus the amount of sales tax put on it. (27.50 - 1.65 = 25.85)

27.50 = 25.85 x (1+%tax)

Now we can start solving for "%tax".

(27.50/25.85) = 1 + %tax

1.0638 = 1 +%tax

1.0638 - 1 = %tax

0.0638 = %tax

6.38% = tax

The sales tax is 6.38%.

Answer: 66% or 67% if you round it up

Step-by-step explanation: Add 23 and 11 together: 34

I'm not sure how many marbles you drew so I'll say subtract 1: 33

22/33 =.6 repeating.67 if you round it up or 67%

The probability that you draw no blue marble is 23/11.

Probability is a branch of math that deals with finding out the likelihood of the occurrence of an event.

A bag has 11 blue marbles and 23 red marbles.

Total number of marbles = 11 + 23 = 34

The probability of picking blue marbles is;

[tex]\rm Probability=\dfrac{Blue \ marbles }{Total \ marbles}\\\\Proability = \dfrac{11}{34}[/tex]

The probability that you draw no blue marbel IS;

[tex]\rm Probabilty = 1- Blue \ marable\\\\Probability = 1-\dfrac{11}{34}\\\\Probability=\dfrac{34-11}{11}\\\\Probability =\dfrac{23}{11}[/tex]

Hence, the probability that you draw no blue marble is 23/11.

Learn more about probability here;

brainly.com/question/18162805

#SPJ4

Step-by-step explanation:

if I understand correctly, then we have

h(x) = 2 × cubic root(x - 10) + 4

the x-intercept is the x value where y or h(x) = 0.

0 = 2 × cubic root(x - 10) + 4

0 = cubic root(x - 10) + 2

-2 = cubic root(x - 10)

-8 = x - 10

x = 2

The intercept is the point where a line or curve crosses the axis. The x-intercept of the function is (2,0)

The intercept is the point where a line or curve crosses the axis. Given the function below:

h(x) = 2(∛x-10) + 4

For the x-intercept, it is the point where h(x) = 0.

Substitute

2(∛x-10) + 4 = 0

2(∛x-10)  = -4

(∛x-10)  = -2

Take the cube of both sides

x-10 = (-2)^3
x -10 = -8

x = -8 + 10

x = 2

Hence the x-intercept of the function is (2,0)

Learn more on intercept here: https://brainly.com/question/1884491

#SPJ6

Answer:

D. In an axiomatic system, every statement, either its capable of being proven true or false.

Step-by-step explanation:

I'm sure.

Answer:x<3 that shout be right. I calculated it.

Step-by-step explanation:

Answer: 3

Step-by-step:

15/5=3

Each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.

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

To find out the length of each segment of a fifteen-foot beam divided into five equal parts, we have to divide the total length of the beam by the number of segments it is being divided into.

We can do this using the division operation as shown below:

15 ÷ 5 = 3

Therefore, we can conclude that each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Scientific notation is the way through which a very small or a very large number can be written in shorthand. The quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.

Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

We know we need to divide 2.5×10⁻³ by 7.1×10⁷. Therefore, if we divide the two numbers the solution will be,

[tex]\dfrac{2.5 \times 10^{-3}}{7.1 \times 10^7}\\\\ = \dfrac{2.5}{7.1} \times 10^{-3-7}\\\\= 0.35211 \times 10^{-10}\\\\= 3.5211 \times 10^{-11}[/tex]

Hence, the quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.

Learn more about Scientific notation:

https://brainly.com/question/1740231

Answer:

A. The E indicates that the solution is given in scientific notation.

B. The coefficient is 3.5211.

D. The solution can be written in scientific notation as 3.5211 × 10^-10

Step-by-step explanation:

Edge 2023

Answer:

8 ≥ w > 4

Step-by-step explanation:

This says the w is greater or equal to 8 but it also says that w is greater than 4.

Answer:

8 ≥ w > 4

Step-by-step explanation:

Because 8 is greater than or equal to w, and w is greater than 4.

The basic formula for a circle is (x - h)^2 + (y - k)^2 = r^2, where the center is (h, k) and the radius is found by taking the square root.

h = 4

k = -2

Center: (4, -2)

square root of 9 = 3

Radius: 3

Correct Answer: C

Hope this helps!