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Anettt [7]
2 years ago
12

What is ∑n=15[5(−2)n−1] equal to?

Mathematics
1 answer:
kicyunya [14]2 years ago
6 0

Answer:

Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.

Anyway, there is neat formula that will deal with question very quickly. It is the following:

Sn is the sum of the geometric series

a1 is the first term in the series

r is the common ratio

n is the number of terms in the finite geometric series

Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.

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When solving this system of linear equations with the elimination method, you can multiply the bottom equation by 3.
tekilochka [14]

Answer: The correct option is A.

Explanation:

The system of equations is,

3x+6y=38

5x-2y=-30

When solving this system of linear equations with the elimination method, we can multiply the bottom equation by 3.

3(5x-2y)=3(-30)

This step works because according to the multiplication property of equality,

If,

a=b         ... (1)

Multiplied both side by m then,

ma=mb    ..... (2)

Then (1) and (2) are equivalent equations.

So, by multiplication property of equality, the second equation can be multiply by 3.

Therefore, he correct option is A.

3 0
3 years ago
Read 2 more answers
A dog weighs 64 pounds, he eats 3/4 cup of food twice a day. his food contains 429 kcal/cup and 6.5grams protein per 100 kcal of
NeX [460]

Answer:

the dogs daily energy intake is 643.5 kcal

and, the dogs daily protein intake is 41.8275 grams

Step-by-step explanation:

Given:

Food taken per day = 2 × \frac{\textup{3}}{\textup{4}}  cup = 1.5 cup

Amount of calories in a cup = 429 kcal/cup

Amount of protein = 6.5 grams per 100 kcal of energy

now,

The total amount of calories taken per day

= Number of cups of food × Amount of calories in a cup

= 1.5 × 429

= 643.5 kcal

also,

100 kcal of energy = 6.5 grams protein

thus,

1 kcal of energy = 0.065 grams protein

therefore,

643.5 kcal of energy = 0.065 × 643.5 grams protein

or

643.5 kcal of energy = 41.8275 grams of proteins

Hence,

the dogs daily energy intake is 643.5 kcal

and, the dogs daily protein intake is 41.8275 grams

8 0
3 years ago
Use the distributive property to rewrite (5x600) + (5x400) so that it has two factors only
ad-work [718]
1100+2000 is the answer cause you multiply the exponents
7 0
3 years ago
Read 2 more answers
On a coordinate plane, kite W X Y Z is shown. Point W is at (negative 3, 3), point X is at (2, 3), point Y is at (4, negative 4)
Aloiza [94]

The perimeter of the kite is (10 + 2√53) units if the kite and the coordinates of the kite are point W is at (-3, 3), point X is at (2, 3), point Y is at (4, -4), and point Z is at (-3, -2).

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners. Kite is quadrilateral, in which. Two pairs of congruent sides, and it has one pair of opposite congruent angles.

The figure is missing.

On a coordinate plane, kite WXYZ is shown (please refer to the picture)

We have a kite and the coordinates of the kite are:

Point W is at (-3, 3), point X is at (2, 3), point Y is at (4, -4), and point Z is at (-3, -2).

Using the distance formula we can find the distance between coordinates:

\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between W and X:

\rm WX=\sqrt{(2+3)^2+(3-3)^2}

WX = 5 units

Similarly, distance between X and Y:

XY = √53 units

YZ = √53 units

ZW = 5 units

Perimeter = sum of the all sides

Perimeter = 5 + √53 + √53 + 5

Perimeter = (10 + 2√53)  units

Thus, the perimeter of the kite is (10 + 2√53) units if the kite and the coordinates of the kite are point W is at (-3, 3), point X is at (2, 3), point Y is at (4, -4), and point Z is at (-3, -2).

Learn more about the quadrilateral here:

brainly.com/question/6321910

#SPJ1

4 0
2 years ago
The sum of 8 times a number and 15 is 7
Bumek [7]
8x+15=7

answer: x= 1 hope this help
5 0
3 years ago
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