Please Help!!

Jamie and Hudson took a road trip to the beach. Their total distance traveled after getting on the highway can be found using the function d(h)=55h+10, where h is the number of hours they have been driving on the highway.

1) Explain why the relationship between total distance and hours is a function.

2) Is this function continuous or discrete? Explain how you know.

3) If the girls can drive a maximum of 8 hours, what is the domain for the function? Explain your answer.

4) If the girls can drive a maximum of 8 hours, what is the range for the function? Explain your answer.

5) Create a graph that models this function. Be sure to include a title and to label your x- and y-axis with the variable names, not just x and y.

6) What is the slope of the function? What does it represent?

7) What is the y-intercept? What does it represent?

Answer:

\(s=60^{2} h\)

While,

s seconds

h hours.

The solution of the expression is,

⇒ x = - 1 and x = 5

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Solve the expression,

x² – 3x − 2 = x + 3

Now, We can simplify as;

x² – 3x − 2 = x + 3

x² – 3x − 2 - x - 3 = 0

x² - 4x - 5 = 0

x² - 5x + x - 5 = 0

x (x - 5) + 1(x - 5) = 0

(x + 1) (x - 5) = 0

x = - 1

x = 5

Thus, The solution of the expression is,

⇒ x = - 1 and x = 5

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

The length of the side of the square would be 12 inches.

A square is a two-dimensional plane object in geometry that has four equal sides and four equal but 90° angles. The characteristics of a rectangle and a square are somewhat similar, although a rectangle only has its opposite sides equal. As a result, a rectangle is only referred to as a square if its four sides are of the same length.

Given : side of the triangle = 16 inches

So, the perimeter of the triangle = 16+16+16

                                                      = 48 inches

Now, the wire is unbent and shaped into a square.

So, the length of the wire would be same.

Hence, we can say that:

Perimeter of triangle = perimeter of square

                             48 =  4 × side

                 So, side = 12 inches.

To learn more about Squares, visit the link:

https://brainly.com/question/27307830

#SPJ1

Answer: 18.69

Step-by-step explanation: just dont matter honeslty

Answer:

18.69

Step-by-step explanation:

Answer:

2¹² Bytes

Step-by-step explanation:

One kilobyte is 2¹⁰ bytes.

File size of the email is 4 kilobytes. That is 4 times 1 kilobyte. Therefore multiply with 4.

4 KB = 4 × 2¹⁰ B

Now notice that you can rewrite 4 like 2².

4 KB = 2² × 2¹⁰ B

Use exponental rule (Product Rule):

\(a^x + a^y = a^{x+y}\)

4 KB = 2²⁺¹⁰ B = 2¹² B

Answer:

B) y = 1/5x + 12/5

Step-by-step explanation:

2 = 1/5(-2) + b

2 = -0.4 + b

2.4 = b

2.4 = 12/5

Justyne is frequently moved around the company to wherever she is needed as it is likely that she has high generalised self-efficacy.

Justyne is valued by her organization as a high-utility employee who can answer the phones, greet customers, handle billing questions, operate the manufacturing equipment, and be a quality checker. This proves her capacity that she can act in the ways necessary to reach specific goals that she is meant to achieve.

As she is competent in so many areas, she is frequently moved around the company wherever needed.

Hence, it is likely that Justyne has high generalized self-efficacy.

To know more about self-efficacy:

https://brainly.com/question/29896604?

#SPJ4

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

LEarn more about volume at:

https://brainly.com/question/1972490

#SPJ1

Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and

after 11 steps, the mixture contains less than 9% vinegar.

What is concentration?

Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.

a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:

\(C(1) = C(0) * \frac{1 - 0.14}{1}\)

where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:

C(2) = C(1) * \(\frac{1 - 0.14}{1}\)

Substituting the formula for C(1), we get:

C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)

or, more generally:

\(C(n) = C(0) * (0.86)^n\)

b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:

\(C(0) * (0.86)^n < 0.09\)

Dividing both sides by C(0), we get:

\((0.86)^n < 0.09\)

Taking the natural logarithm of both sides, we get:

n * ln(0.86) < ln(0.09)

Dividing both sides by ln(0.86), we get:

n > ln(0.09) / ln(0.86)

Using a calculator, we get:

n > 10.7

Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.

To learn more about concentration visit the link:

https://brainly.com/question/17206790

#SPJ1

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

The only equation from the options given which shows exactly one solution is x = 2

Evaluating the options given :

Therefore, only the equation x =2 gives exactly one solution for the value of x

Learn more : https://brainly.com/question/15253236?referrer=searchResults

Answer:

0.145

Step-by-step explanation:

Suppose λ = average number of an event occurring in an interval of a presented  length; &

x =  no. of events occurring in an interval length t

Thus, x has a Poisson distribution with parameter λt.

i.e.

\(P[X=k] = \dfrac{(\lambda t)^k\times e^{-\lambda t}}{k!} \ \ \ where; k = 0,1,2 ...\)

Given that:

The average number of call every 8 hours = 11

Then, the parameter for the Poisson process \(\lambda =\dfrac{11}{8}\)

where;

t = 2 hours

\(\lambda t = \dfrac{11}{8}\times 2\)

\(\lambda t = \dfrac{11}{4}\)

Also,

x = no. of calls occurring at an interval of length 2

The required probability is as follows:

P(x > 4) = 1 - [P ( x≤ 4) ]

\(=1 - [ P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) ]\)

\(= 1 - \bigg [ \dfrac{(\dfrac{11}{4})^0 \times e^{-11/4}}{0!}+\dfrac{(\dfrac{11}{4})^1 \times e^{-11/4}}{1!}+ \dfrac{(\dfrac{11}{4})^2 \times e^{-11/4}}{2!}+ \dfrac{(\dfrac{11}{4})^3 \times e^{-11/4}}{3!}+ \dfrac{(\dfrac{11}{4})^4 \times e^{-11/4}}{4!} \bigg ]\)

\(= 1 - \begin {bmatrix} 1 + \dfrac{11}{4} + \dfrac{\bigg (\dfrac{11}{4}\bigg)^2}{2}+\dfrac{\bigg (\dfrac{11}{4}\bigg)^3}{6}+\dfrac{\bigg (\dfrac{11}{4}\bigg)^4}{24} \end {bmatrix} e^{-11/4}\)

\(= 1 - [ 1 + 2.75 + 3.78125 + 3.466145833 + 2.3829] \ e^{-11/4}\)

= 1 - [13.38037]× 0.06393

= 1 - 0.855407

= 0.14459

≅ 0.145    ( to  3 decimal place)

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

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

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

Read more about complex expressions at

https://brainly.com/question/10662770

#SPJ1

The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

As per option (B),

Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.

Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.

Sarah rides her bike = 3/4 × 8/9

Therefore, this problem can be solved by performing the above multiplication.

Hence, the correct answer would be an option (B).

Learn more about Multiplication operations here:

brainly.com/question/25834626

#SPJ1

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 4% of respondents did not provide a response, 26% said that their experience fell short of expectations, 65% of the respondents said that their experience met expectations (Clarkson Magazine, Summer, 2001). If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations? If we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?

Solution:

Probability = number of favorable outcomes/number of total outcomes

From the information given,

The probability that respondents did not provide a response, P(A) is 4/100 = 0.04

The probability that a respondent said that their experience fell short of expectations, P(B) is 26/100 = 0.26

The probability that a respondent said that their experience met expectations, P(C) is 65/100 = 0.65

A) Adding all the probabilities, it becomes 0.04 + 0.26 + 0.65 = 0.95

Therefore, the probability,P(D) that a respondent said that their experience surpassed expectations is 1 - 0.95 = 0.05

B) The event of a randomly chosen respondent saying that their experience met expectations and that their experience surpassed expectations are mutually exclusive because they cannot occur together. It means that P(C) × P(D) = 0

Therefore, the probability of P(C) or P(D) is 0.65 + 0.05 = 0.7

The probabilities, we need to understand the context. Assuming we are working with a fair six-sided die, where each face has an equal chance of landing, here are the probabilities:

For such more questions on probability

https://brainly.com/question/30390037

#SPJ8

Answer:

I think it is -8. Subsitute the value. 2(-8) +1=-15 which is less than 0. When you plug -8 for x^2 -1 you get 64-1 which is 63. 63 is offcourse greater than 0.

Answer:

96 oz

Step-by-step explanation:

1 lb= 16 oz

so, 16×6=96

f(x) has a point of inflection at x = 0 and x = 1/2.To find the values of x where the graph of the function\(f(x) = x^4 - x^3\) has a point of inflection, we need to find where the second derivative of the function changes sign from positive to negative or vice versa.

The first derivative of the function is:

\(f'(x) = 4x^3 - 3x^2\)

The second derivative of the function is:

\(f''(x) = 12x^2 - 6x\)

Setting f''(x) equal to zero and solving for x gives:

\(12x^2 - 6x = 0\)

6x(2x - 1) = 0

This equation has two solutions:

x = 0, or x = 1/2

To determine whether these values of x correspond to points of inflection, we need to look at the sign of the second derivative on either side of each value.

When x < 0, f''(x) is positive because both \(12x^2\) and -6x are positive. When 0 < x < 1/2, f''(x) is negative because \(12x^2\)is positive but -6x is negative. When x > 1/2, f''(x) is positive again because both \(12x^2\) and -6x are negative.

Therefore, f(x) has a point of inflection at x = 0 and x = 1/2.

learn more about function here

https://brainly.com/question/12431044

#SPJ1

Answer:

one equal to 5

Step-by-step explanation:

5x x 66

Answer:

9/1 x 3/1

Step-by-step explanation:

The outcomes listed must be independent is false about probability distributions.

In probability theory, statistics, and the theory of stochastic processes, independence is a key concept. Informally speaking, two occurrences are independent, statistically independent, or stochastically independent if their occurrence has no bearing on either their chances or probability of occurring. Similarly to this, two random variables are independent if the probability distribution of either one is unaffected by the realization of the other.

It is important to distinguish between two definitions of independence when working with collections of more than two occurrences. Informally, mutual independence of events refers to each event being independent of any combination of other events in the collection, whereas pairwise independence of events refers to any two events in the collection being independent of each other.

To learn more about probability distributions here:

https://brainly.com/question/14210034

#SPJ4

Answer:to cook something to a certain degree and it belongs to English which derives from the old english version “bacan”

Step-by-step explanation:

The average speed of the truck travelling for Johannesburg to Capetown is  0.121995 kilometers / hour

The distance is given as 1.59 km

The time taken is 13 hours 2 minutes.

First we need to convert all values in to a singular metric

1.59km = 1590 meters
13 hours 2 minutes = 782 minutes

average speed = distance/time

Average speed = 1590/782

= 2.0332480818 meters/min

Converting back to Km/H we have

average speed = 0.121995 kilometers per hour

Learn more about average speed:
https://brainly.com/question/9834403
#SPJ1

The measures of Arc RQ, arc GM, and angle STR are 46 degrees, 45 degrees, and 23 degrees, respectively.

To find the measure of Arc RQ, we can use the fact that X is the center of the circle and the diameter of the circle is RT.

Therefore, Arc RQ = Arc RS, which is equal to 46 degrees.

To find the measure of arc GM, we can use the fact that P is the center of the circle and that GKM is a right angle with MKH also being a right angle.

Thus, arc GM = 1/2 * 90 degrees, which is equal to 45 degrees.

Finally, to find the measure of angle STR, we can use the fact that QST is 71 degrees and P is the center of the circle.

Therefore, angle STR = 1/2 * Arc RS, which is equal to 1/2 * 46 degrees, or 23 degrees.

Read more about angles at

https://brainly.com/question/28293784

#SPJ1

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

Para aprender más sobre ángulos complementarios y suplementarios: https://brainly.com/question/4410854

#SPJ1

The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

For such more question on isometric

https://brainly.com/question/14486229

#SPJ8

Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35