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Veseljchak [2.6K]
3 years ago
12

Identify the conclusion of the following conditional:

Mathematics
2 answers:
const2013 [10]3 years ago
3 0
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.This statement is a conditional statement. However, it is not in its standard form. A conditional statement is known as an If-then statement.

It should be written as:

If the sum of the digits of the number is divisible by 3 then a number is divisible by 3.

There are two parts of a conditional statement. The first part is the hypothesis, the second part is the conclusion. The hypothesis starts with "if". The conclusion starts with "then".

The conclusion of the conditional statement is THEN A NUMBER IS DIVISIBLE BY 3.
gizmo_the_mogwai [7]3 years ago
3 0

As the name implies, the conditional operator creates a compound statement that sets up a condition for something to be true. In this way, if the condition is met, the statement is <em>true.</em>

The symbol is the <em>Horseshoe or arrow →</em>

The parts of conditional are two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent. So, we can write the option b as follows:

A: The sum of the digits of a number is divisible by 3

B: the number is divisible by 3.

A→B =<em> </em><em>If the sum of the digits of a number is divisible by 3, then the number is divisible by 3. </em>

The problem asks for the conclusion of the statement, that is, the consequent, so the right answer is:

c. The number is divisible by 3.



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A coach for a little league baseball team is ordering trophies for the team. Players on the team are allowed to choose between 2
Natali5045456 [20]

Answer:

y= 5.99(g) + 6.49(u)

Step-by-step explanation:

1) First you determine the variable in the equation $5.99, $6.49, g, and u.

2) Then analyze the equation and identify that each gold baseball trophy (g) is worth $5.99, and each uniform baseball trophy (u) is worth $6.49 each.

3) Since you are finding the total you insert a plus sign.

8 0
3 years ago
In the function f(x) = 4(x2 − 6x ) 20, what number belongs in the blank to complete the square?
vitfil [10]

The number to be added to the blank should be 9.

According to the statement

we have to find the number which is missing from the given expression.

So, For this purpose, We know that the

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given function is f(x) = 4(x² − 6x + ____) + 20. To complete the expression, complete the square of the one inside the parentheses. This is done by dividing the coefficient of x with 2 and then raising it to two.

-6/2 = -3

(-3)² = 9

Therefore, the number to be added to the blank should be 9.

Learn more about Expression here

brainly.com/question/723406

Disclaimer: This question was incomplete. Please find the full content below.

Question:

In the function f(x) = 4(x^2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

#SPJ4

7 0
2 years ago
Find the center of mass of the wire that lies along the curve r and has density =4(1 sin4tcos4t)
dolphi86 [110]

The mass of the wire is found to be 40π√2 units.

<h3>How to find the mass?</h3>

To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.

The general formula is,

Mass = \int_a^b \delta\left|r^{\prime}(t)\right| d t

To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.

The given integration limits in this case are a = 0, b = 2π.

Now, as per the question;

The equation of the curve is given as;

r(t) = (4cost)i + (4sint)j + 4tk

Now, differentiate this same given curve r ( t ) with respect to t.

\begin{aligned}\left|r^{\prime}(t)\right| &=\sqrt{(-4 \sin t)^2+(4 \cos t)^2+4^2} \\&=\sqrt{16 \sin ^2 t+16 \cos ^2 t+16} \\&=\sqrt{16\left(\sin t^2+\cos ^2 t\right)+16}\end{aligned}

Further simplifying;

\begin{aligned}&=\sqrt{16(1)+16} \\&=\sqrt{16+16} \\&=\sqrt{32} \\\left|r^{\prime}(t)\right| &=4 \sqrt{2}\end{aligned}

Now, use integration to find the mass of the wire;

       \begin{aligned}&=\int_a^b \delta\left|r^{\prime}(t)\right| d t \\&=\int_0^{2 \pi} 54 \sqrt{2} d t \\&=20 \sqrt{2} \int_0^{2 \pi} d t \\&=20 \sqrt{2}[t]_0^{2 \pi} \\&=20 \sqrt{2}[2 \pi-0] \\&=40 \pi \sqrt{2}\end{aligned}

Therefore, the mass of the wire is estimated as 40π√2 units.

To know more about density function, here

brainly.com/question/27846146

#SPJ4

The complete question is-

Find the mass of the wire that lies along the curve r and has density δ.

r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5

5 0
2 years ago
-(-6) + (-1.5) + 2 1/5 Someone please help.
zheka24 [161]

Answer:

6.7

Step-by-step explanation:

6-1.5+(11/5)=6.7

7 0
4 years ago
2x − 4y = 40,<br> −x + 2y = −20<br><br> Find x and y intercept
Basile [38]

Answer:

The x and y intercept are (20,0)

Step-by-step explanation:

2x-4y=40—eqn1

-x+2y=-20—eqn2

Make x the subject of eqn2

-x=-20-2y

x=20+2y

plug this into eqn 1

2(20+2y)+4y=40

40+4y+4y=40

8y=40-40

y=0

plug y=0 into eqn2

-x+2(0)=-20

-x=-20

x=20

8 0
2 years ago
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