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Oduvanchick [21]

2 years ago

14

Consider the sets A={1,3,5,7} and B={11,13,15,21}.

1 answer:

katovenus [111]2 years ago

4 0

Those should be odd integers if I’m wrong let Me know and I’ll fix it for you

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Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be use

viktelen [127]

For this case we have the following equation:
d = 0.5 + 5t
We will describe the equation step by step.
0.5: Initial distance Jillian walked
5: speed with which Jillian begins to jog
t: independent variable that indicates the number of hours
y: dependent variable that indicates the distance traveled in miles
Answer:
The variable variable is time and the dependent variable is distance.

3 0

2 years ago

Read 2 more answers

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

$F = \dfrac{9}{6^x}$

This force is not a constant force. For a non-constant force, the work done, <em>W</em>, is

$W = \int\limits^{x_2}_{x_1} {F(x)} \, dx$

with $x_1$ and $x_2$ the initial and final displacements respectively.

From the question, $x_1 =0$ and $x_2 = 12$ .

Then

$W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx$

Evaluating the indefinite integral,

$\int\limits \dfrac{9}{6^x} \, dx =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx$

From the rules of integration,

$\int\limits a^x\, dx = \dfrac{a^x}{\ln a}$

$9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x$

Returning the limits,

$\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}$

4 0

2 years ago

Write an inequality to describe the relationship between -1 2/3 and-1/4

Ivenika [448]

Step-by-step explanation:

- 1⅔ < -¼

__________________

3 0

2 years ago

What is the least common multiple of 5, 10, and 12? What is the least common multiple of 6, 10, and 12? What is the least common

Mila [183]

Answer:

LCM of 5, 10, and 12 is 60

6, 10, and 12 is 60

2, 4, and 9 is 36

6 0

2 years ago

Read 2 more answers

Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old

nataly862011 [7]

Answer:

Age of Mark $=10$ years

Age of Mark's dad $=30$ years

Age of Mark's sister $=8$ years

Step-by-step explanation:

Let age of Mark be $x$ years.

Mark's dad is three times older than Mark

Age of her Mark's dad $=3x$

Mark's sister is 2 years younger than Mark

Age of Mark's sister $=(x-2)$ years

The sum of their ages is 48.

$x+3x+x-2=48\\5x-2=48\\5x=50\\x=10$

Age of Mark $=x=10$ years

Age of Mark's dad $=3x=3(10)=30$ years

Age of Mark's sister $=x-2=10-2=8$ years

8 0

2 years ago