All categories

3 years ago

Which expression gives the same result as shown problem?

Mathematics

1 answer:

sineoko [7]3 years ago

8 0

The first choice gives you the same result. The factor of 5 can be removed to the outside of the summation symbol.

$5\sum\limits_{i=0}^{4}{\left(\dfrac{1}{3}\right)^{i}}$

You might be interested in

Prove the identity.<br> tan(x − y) + tan(z − x) + tan(y − z) = tan(x − y) tan(z − x) tan(y − z)

Viktor [21]

Step-by-step explanation:

This is known as the triple tangent identity. Start with the fact that the three angles add up to 0.

(x − y) + (z − x) + (y − z) = 0

Subtract two terms to the other side and take the tangent:

x − y = -((z − x) + (y − z))

tan(x − y) = tan(-((z − x) + (y − z)))

Use reflection property:

tan(x − y) = -tan((z − x) + (y − z))

Now use angle sum identity:

tan(x − y) = -[tan(z − x) + tan(y − z)] / [1 − tan(z − x) tan(y − z)]

tan(x − y) = [tan(z − x) + tan(y − z)] / [tan(z − x) tan(y − z) − 1]

tan(x − y) [tan(z − x) tan(y − z) − 1] = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) − tan(x − y) = tan(z − x) + tan(y − z)

tan(x − y) tan(z − x) tan(y − z) = tan(x − y) + tan(z − x) + tan(y − z)

4 0

3 years ago

Please help me with this math question, It's worth 30 points for whoever want's to answer.

swat32

Answer:

hello I can help you in this

8 0

3 years ago

Mr. Nordman gets a commission of $2.30 on each pair of women's shoes he sells, and a commission of $3 on each pair of men's shoe

Alina [70]

Answer:

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

Step-by-step explanation:

Lets the number of men's shoes he sells be x and women's shoes be y.

For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .

He needs to sell atleast 10 women's shoes and 5 men's shoes.

Also he needs to make atleast $60 per week.

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

These are are the 3 required inequalities.

Now we will see an example.

If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.

He will make a total profit = $2.3\times 20 + 3\times 10$ =$76

8 0

3 years ago

What is 98.155 rounded to the nearest tenth

Anettt [7]

If you want to round 98.155 to the nearest tenth, it is 98.2.
The 1 is in the tenths place.
If the number to the right of it is 5 or more, round up.
If the number to the right of it is 4 or less, round down.
In this case, you round the digit in the tenths place up because the digit in the <em>hundredths</em> place is 5+.

8 0

3 years ago

Read 2 more answers

In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation. Aft

timurjin [86]

Grace weighed 167 pounds before she started her exercise program.

Step-by-step explanation:

Given,

Weight lost by Grace = 45 pounds

Weight of Grace after exercise weeks = 122 pounds

Let,

x represents the weight of Grace before she started the exercise program.

Loss means subtraction, therefore,

We will subtract the lost weight from original weight.

Original weight - Weight lost = Weight after exercise weeks

$x-45=122$

Adding 45 on both sides

$x-45+45=122+45\\x=167\ pounds$

Grace weighed 167 pounds before she started her exercise program.

Keywords: equation, addition

Learn more about addition at:

#LearnwithBrainly

5 0

3 years ago