Ask question

Ask question

All categories

3 years ago

11

The time length in hours of a certain airplane flight can be represented by the function f(x) = 0.0025x + 0.75, where x is the n

umber of miles for the flight. The time length of another airplane flight in hours can be represented by the function g(x) = 0.004x + 0.5, where x is the number of miles for the flight. Which function represents the sum of the flight time lengths, h(x) = f(x) + g(x)?
h(x) = –0.029x + 0.25 ,h(x) = 0.0065x – 1.25 ,h(x) = 0.029x – 0.25 ,h(x) = 0.0065x + 1.25

2 answers:

Dima020 [189]3 years ago

7 0

Answer:

d

Step-by-step explanation:

Mandarinka [93]3 years ago

3 0

Answer:

<h2>h(x) = 0.0065x+1.25</h2>

Step-by-step explanation:

Given the time length in hours of a certain airplane flight represented by the function f(x) = 0.0025x + 0.75.

The time length of another airplane flight in hours can be represented by the function g(x) = 0.004x + 0.5.

x is the number of miles for the flight

The function that represents the sum of the flight time lengths is given as h(x) as shown;

h(x) = f(x) + g(x)

To get h(x), we will substitute the functions f(x) and g(x) into formula for function h(x) as shown below;

h(x) = (0.0025x + 0.75)+(0.004x + 0.5)

Collecting the like terms;

h(x)= 0.0025x + 0.004x + 0.75 + 0.5

h(x) = 0.0065x+1.25

This gives the sum of the flight time lengths

You might be interested in

Find the sum of the first 31 terms of the following series, to the nearest integer.<br> 5,14,23,..

UkoKoshka [18]

Answer:

Step-by-step explanation:

5+14 is 19

19+23 is 4242

5 0

3 years ago

A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, dra

gregori [183]

Answer:

The probability that the fruits will be selected in the order of banana then apple then orange is 0.1094

Step-by-step explanation:

The given information are;

The number of bananas = 4

The number of apples = 3

The number of oranges = 5

The total number of fruits are 4 + 3 + 5 = 12

The probability of selecting a banana, p(b) = 4/12 = 1/3

The probability of selecting an apple, p(a) = 3/12 = 1/4

The probability of selecting an oranges, p(o) = 5/12

The probability of selecting one banana, then one apple, then one orange, in that order, from the basket with replacement is the product of the individual probabilities found as follows;

p(p(b) then p(a) then p(o)) =

The number o

The probability that the first fruit is a banana = ₁₁C₃×(1/3)^(3)×(2/3)^8 = 0.2384

The probability that the second fruit is an apple = ₁₁C₃×(1/4)^(3)×(3/4)^8 = 0.258

The probability that the third fruit is an apple = ₁₁C₃×(5/12)^(3)×(7/12)^8 = 0.16

The total probability = 0.2384 + 0.285 + 0.16 = 0.657

The number of ways in which the three can be selected = 3 × 2 × 1 = 6 ways

Therefore, the probability that the fruits will be selected in the order of banana then apple then orange = 0.657/6 = 0.1094.

4 0

3 years ago

Y=7×2^t/30 what is the equation solved for t

CaHeK987 [17]

Answer:

Option C

Step-by-step explanation:

Given expression in the question is,

y = $7(2)^{\frac{t}{30}}$

To get the value of t,

$\frac{y}{7}=2^{\frac{t}{30}}$

Take the log on both the sides of the expression,

log( $\frac{y}{7}$ ) = $\text{log}[(2^{\frac{t}{30}})]$

log( $\frac{y}{7}$ ) = $\frac{t}{30}(\text{log2})$

t = $30(\frac{\text{log}\frac{y}{7}}{\text{log}2} )$

t = $30[\text{log}_2(\frac{y}{7})]$ [Since, $\frac{\text{loga}}{\text{logb}}=\text{log}_a(b)}$ ]

Therefore, Option C will be the answer.

3 0

3 years ago

3) Barbara can walk 3,200 meters in 24 minutes. How far can she walk in 3

slava [35]

Answer:

400 meters

Step-by-step explanation:

We know that Barbara can walk 3,200 meters in 24 minutes . And are being asked to see how far she can walk in 3 minutes.

Create the unit rate. Since Barbara can walk 3,200 in 24 minutes and we're trying to figure out how many meters she walks in 3 mintues, make the meters "M"

$\frac{3200}{24} = \frac{M}{3}$

Let's do something that can make 24 mintues go to 3 minutes, this would be dividing 24 by 8, do the same with the numerator :

$\frac{3200/8}{24/8}$

$\frac{400}{3}$

Therefore Barbara can walk 400 meters in 3 minutes,

6 0

3 years ago

Suppose you have two hyperbolas that are the same except that the transverse axis and conjugate axis are switched. How does swit

Nonamiya [84]

Check the picture below.

assuming both hyperbolas at centered at the origin, the values for the numerator and denominator will switch, so that the slope of one is the reciprocal of the other's slope.

6 0

4 years ago