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3 years ago

Which term best describes a mathematical statement of the form shown below? If A then B.

Mathematics

1 answer:

Mkey [24]3 years ago

4 0

<h2>Conditional statement.</h2>

A mathematical statement of the form 'If A Then B' is a conditional statement.

<h3>Explanation:</h3>

A conditional statement in geometry is an if-then statement consisting of a hypothesis and a dependent conclusion. The structure of a conditional statement is:

<em>If (......hypothesis......), then (......conclusion......)</em>

If hypothesis = A and conclusion = B, the mathematical expression for a conditional statement is: <u>A → B</u> and it is read as <u>If A then B.</u>

A conditional statement is always true unless the hypothesis is true and the conclusion is false.

A conditional statement can be written in form of its converse, inverse and contrapositive.

<u>Example of a conditional statement is</u>

A = I am 18 years old

B = I am an adult

A conditional statement is of the form (<u>A → B</u>) "If A then B"; therefore

If I am 18 years old, then I am an adult.

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A blue whale gains 2.3 tons a month for the first year of life. If a blue whale weighed 15 tons at birth, how much will it weigh

trapecia [35]

It will weigh 28.8 tons in the first 6 months.

2.3 tons per month times 6 months equals 13.8 tons plus 15 tons equals 28.8 tons.

Hope this helps. ;)

8 0

4 years ago

Find the first five terms of the recursive sequence <br> an=-6an-1 where a1=4.5

grandymaker [24]

Answer:

4.5, -27, 162,-972, 5832

Step-by-step explanation:

The given recursive definition is,

$a_n=-6a_{n-1}, a_1=4.5$

This will form a geometric sequence with first term 4.5 and common ratio r=-6.

When n=2, we have:

$a_2=-6a_1 \\ \implies \: a_2=-6 \times 4.5 = - 27$

When n=3, we get:

$a_3=-6a_2 \\ \implies \: a_3=-6 \times - 27 = 162$

When n=4, we get:

$a_4=-6a_3 \\ \implies \: a_4=-6 \times 162 = - 972$

When n=5, we get:

$a_5=-6a_4 \\ \implies \: a_5=-6 \times - 972 = 5832$

Therefore the first five terms are:

4.5, -27, 162,-972, 5832

3 0

4 years ago

In the space provided, describe the similarities and differences between the seasonal changes of the oak tree in Florida and the

saveliy_v [14]

As a result of climatic peculiarities the seasonal changes of oak tree in Florida and oak in Maine are distinguished such that the differences are remarkably satisfactory.

<h3>What are the seasonal changes of the oak tree in Florida and the oak tree in Maine?</h3>

We know that many oaks are native to Florida and some of the Florida oaks include;

Shumard oak

Willow oak

Southern live oak.

Northern red oaks can also be found in northern Florida. Some other oak trees in Florida include;

Black oak

Bluff oak

Chapman oak

Chinkapin oak

Laurel oak.

From the information above, we can conclude that as a result of climatic peculiarities the seasonal changes of oak in Florida and oak in Maine are distinguished such that the differences are remarkably satisfactory.

Read more about Seasonal Changes at; brainly.com/question/23420592

#SPJ1

4 0

2 years ago

how many quarts of pure antifreeze must be added to 6 quarts of a 10% antifreeze solution to obtain a 40% antifreeze solution

saveliy_v [14]

First off, let's change the percentage amounts to decimal format, thus, a pure antifreeze is 100% antifreeze, so it has a 100% concentration, thus if we were to add an amount of "x", then the amount on antifreeze in that will then be (100/100) * x, or 1x, or just "x".

the mixture will be say, "y" amount of 40% antifreeze, thus, the concentrated amount in it will be (40/100) * y or 0.4y.

thus

$\bf \begin{array}{lccclll}
&amount(quarts)&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&------&------&------\\
\textit{pure antifreeze}&x&1.00&1x\\
\textit{10\% solution}&6&0.10&0.6\\
------&------&------&------\\
mixture&y&0.40&0.4y
\end{array}$

now, bear in mind that, whatever "x" is,
x + 6 = y <--- the amounts added must yield the amount of the mixture

and x + 0.6 = 0.4y <--- the contrated amounts sum will also add up to the mixture's

$\bf \begin{cases}
x+6=\boxed{y}\\
x+0.6=0.4y\\
----------\\
x+0.6=0.4\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+0.6=0.4x+2.4\implies 0.6x=1.8\implies x=\cfrac{1.8}{0.6}$

4 0

3 years ago

Read 2 more answers

The altitude of an equilateral triangle is 15. What is the length of each side?

Bogdan [553]

An equilateral triangle is a triangle where all sides are of equal lengths. So, the angles are of equal values as well which is 60. We use the angle and the height of the triangle to determine the side length. We do as follows:

tan (60) = 15 / base/2
base = 10√3 = side length

6 0

3 years ago