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3 years ago

An expression that uses variables to state a rule is a ______

Mathematics

2 answers:

nikdorinn [45]3 years ago

7 0

<u>Formula</u>

<em>An expression that uses variables to state a rule is a </em><u><em>formula</em></u>

<h2>Explanation:</h2>

An expression that uses variables to state a rule is a formula. It's important to know that formulas uses the equals sign (=) and includes two or more variables. Formulas gives us information that we express symbolically. For example, the well known formula for the volume of a sphere is defined as:

$V=\frac{4}{3} \pi r^3 \\ \\ \\ Where: \\ \\ V:Volume \ of \ the \ sphere \\ \\ r:Radius \ of \ the \ sphere$

So in this formula we have a relationship between the volume of a sphere and its radius, so if we have information about the radius of it we can easily calculate the volume of it.

<h2>Learn more:</h2>

Volume of prism: brainly.com/question/12501166

#LearnWithBrainly

Sati [7]3 years ago

5 0

Answer:

I mean formula is normally just variables so ye

Step-by-step explanation:

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Is algebra.

Nostrana [21]

Answer:

1) b 2) b

Step-by-step explanation:

1) Both expressions have (x+6). Rearrange them and you'll have one expression as (x+6) and the other as (5ab-4).

2) (4b - 7x)(a + b) factors to be 4ba + 8b - 7ax - 14x, which can be rearranged to 4ab - 7ax + 8b - 14x

3 0

2 years ago

Read 2 more answers

What is the area of this figure?

Dmitrij [34]

Answer:

the area is 30

Step-by-step explanation:

area of triangle =base×height

so ,

base=7.5

height=4

why , shouldn't we take 5(or)6 as height because we shouldn't take slanting lengths as height.

so apply base and height in the formula

7.5×4=30

please follow me

6 0

3 years ago

Describe the difference between slope and y-intercept

Zinaida [17]

Answer:

The difference between slope and y-intercept, is y-intercept is a specific point. Y-intercept is when the line crosses the y-axis, or when x = 0. Slope is how much the y value changes when the x has changed +1, or -1, if that makes sense.

I was gonna do an example, but I got lazy, hehe.

5 0

3 years ago

What is the 9th term of the following geometric sequence? 7/9,-7/3,7,-21,63 ??????

dmitriy555 [2]

Given:

The geometric sequence is:

$\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...$

To find:

The 9th term of the given geometric sequence.

Solution:

We have,

$\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...$

Here, the first term is:

$a=\dfrac{7}{9}$

The common ratio is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{\dfrac{-7}{3}}{\dfrac{7}{9}}$

$r=\dfrac{-7}{3}\times \dfrac{9}{7}$

$r=-3$

The nth term of a geometric sequence is:

$a_n=ar^{n-1}$

Where, a is the first term and r is the common ratio.

Substitute $a=\dfrac{7}{9},r=-3,n=9$ to find the 9th term.

$a_9=\dfrac{7}{9}(-3)^{9-1}$

$a_9=\dfrac{7}{9}(-3)^{8}$

$a_9=\dfrac{7}{9}(6561)$

$a_9=5103$

Therefore, the 9th term of the given geometric sequence is 5103.

5 0

3 years ago

Membership selection. A town council has 10 members, 5 Democrats and 5 Republicans. (A) If the president and vice-president a

SOVA2 [1]

Answer:

(A) P=0.22 or 22% (B) P=50%

Step-by-step explanation:

(A) We have a tree of probabilities, with two steps: president and vice-president.

If the president is elected first, there is a 5/10 chances it will be Democrat.

If this happened, in the election of vice-president, there is 4/9 chances it will be a Democrat chosen again, because there is one Democrat member already selected for President.

So the chances of having a Democrat president and vice president are:

(5/10) x (4/9) = 20/90 = 0.22 = 22%.

(B) We have another tree, with tree steps. The Republicans have majority whenever there are 2 or 3 members in the 3-person comitee.

It can be calculated as the sum of the probability of having 3 republican members (RRR) and the probability of having 2 republican members (RRD, RDR and DRR).

P(RRR) = (5/10) x (4/9) x (3/8) = 1/9

P(RRD) = (5/10) x (4/9) x (5/8) = 1/7

P(RDR) = (5/10) x (5/9) x (4/8) = 1/7

P(DRR) = (5/10) x (5/9) x (4/8) = 1/7

P(RRR) + P(RRD) + P(RDR) + P(DRR) = 1/9 + 1/7 + 1/7 + 1/7 = 1/2 = 50%

7 0

3 years ago