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2 years ago

Check each set that includes the number shown.

Mathematics

1 answer:

zavuch27 [327]2 years ago

7 0

Answer:

Fourth option.

Sixth option.

Step-by-step explanation:

We know that:

- Any number you can find on the number line, is a Real number.

- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.

- A Rational number is that number that can be written in the following form:

$\frac{a}{b}$

Where "a" and "b" are integers ( $b\neq 0$ ).

- An Irrational number cannot be written as a simple fraction.

- A Whole number is any of the numbers { ${0, 1, 2, 3...}$ }. Every Whole number is a Rational number.

- Natural numbers contain the set of positive integers{ ${1, 2, 3...}$ } or to the set of nonnegative integers { ${0, 1, 2, 3...}$ }, Every Natural number is a Rational number.

Based on this, since $\frac{5}{9}$ is in the form $\frac{a}{b}$ where $a=5$ and $b=9$ , it is a Rational Number and therefore a Real number.

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Zeke goes to a skate shop with his friend Tristan. Tristan buys a helmet that costs $28.75. Zeke finds a helmet that is <img src

Lemur [1.5K]

Answer: $2.75

Step-by-step explanation:

Zeke's helmet cost 3/5 x 28.75 = 17.25

Change = 20 - 17.25 = 2.75

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2 years ago

At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which wo

nasty-shy [4]

Answer:

Decreased.

Step-by-step explanation:

Decrease means to go down or take away, therefore in a mathematical equation, it would be represented by a negative integer.

Change could be positive or negative

each is a singular description word

and drastically is just describing how fast.

have a good day!

6 0

2 years ago

In triangle PQR, PS, QT,and RU are the medians , and PS and QT intersect at the point (4,5)

jekas [21]

We are given with a triangle and three medians. The intersection of the two medians is also given which is (4,5). What is asked is the intersection between another pair of medians. Since the medians of a triangle intersect at the centroid of a triangle, the intersection is also
<span>B. (4, 5)</span>

7 0

2 years ago

Read 2 more answers

Two planes, which are 3400 miles apart, fly toward each other. Their speeds differ by 80mph. If they pass each other in 5 hours,

Andreas93 [3]

Answer : The speed of both planes is 61.25 mph and 18.75 mph respectively.

Explanation:

Let the speed of first plane be x mph

Let the speed of second plane be y mph

Since we have given that difference of speeds is 80 mph

i.e. x - y= 80 ( $Eq^n$ 1)

Distance between two planes = 3400 miles

As they are flying towards each other i.e. they are in the opposite direction.

So, Relative speed will be the sum of their speeds i.e.

Relative speed = x + y

And we know speed = $\frac{Distance}{Time}$

Speed= $\frac{3400}{80}$

⇒ Speed = 42.5 mph

Hence, Relative speed becomes 42.5 mph

⇒ x+y=42.5 ( $Eq^n$ 2)

Now, by using the elimination method of solving the system of equation, we have ,

x= 61.25 mph

and y = 18.75 mph

4 0

2 years ago

(1 point) If f(t) is continuous for t≥0, the {\it Laplace transform} of f is the function F defined by F(s)=∫[infinity]0f(t)e−st

QveST [7]

Answer:

The Laplace transform of f(t) = 1 is given by

F(s) = (1/s) for all s>0

Step-by-step explanation:

Laplace transform of a function f(t) is given as

F(s) = ∫∞₀ f(t) e⁻ˢᵗ dt

Find the Laplace transform for when f(t) = 1

F(s) = ∫∞₀ 1.e⁻ˢᵗ dt

F(s) = ∫∞₀ e⁻ˢᵗ dt = (1/s) [-e⁻ˢᵗ]∞₀

= -(1/s) [1/eˢᵗ]∞₀

Note that e^(∞) = ∞

F(s) = -(1/s) [(1/∞) - (1/e⁰)]

Note that (1/∞) = 0

F(s) = -(1/s) [0 - 1] = -(1/s) (-1) = (1/s)

Hope this Helps!!!

8 0

2 years ago