What is the area of the triangle?
6
21

units

Answer:

[tex]\sum\limits_{i=1}^{n} c \cdot a_i \ is \ equal \ to \ c = \ c \cdot \sum\limits_{i=1}^{n} a_i[/tex]

[tex]\sum\limits_{i=1}^{n} i \ is \ equal \ to \ b = \dfrac{n \cdot (n + 1)}{2}[/tex]

[tex]\sum\limits_{i=1}^{n} c \ is \ equal \ to \ d = c \cdot n[/tex]

[tex]\sum\limits_{i=1}^{n} i^3 \ is \ equal \ to \ e = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2[/tex]

[tex]\sum\limits_{i=1}^{n} i^2 \ is \ equal \ to \ a = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6}[/tex]

Step-by-step explanation:

1) The sum of a series of the cubes of numbers 'i' is given as follows;

Sₙ = n/2 × (1st term + Last term)

∴ Sₙ = n/2 × (1 + n) = n·(n + 1)/2

It can be shown that the sum of a series of the cubes of numbers 'i²' is given as follows;

Sₙ = (n·(n + 1)·(2·n + 1))/6

It can be also be shown that the sum of a series of the cubes of numbers 'i³' is given as follows;

Sₙ = (n·(n + 1)/2)²

Therefore, we have;

[tex]\sum\limits_{i=1}^{n} c \cdot a_i= c \cdot \sum\limits_{i=1}^{n} a_i = c[/tex]

[tex]\sum\limits_{i=1}^{n} i = \dfrac{n \cdot (n + 1)}{2} = b[/tex]

[tex]\sum\limits_{i=1}^{n} c = c \cdot n = d[/tex]

[tex]\sum\limits_{i=1}^{n} i^3 = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2 = e[/tex]

[tex]\sum\limits_{i=1}^{n} i^2 = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6} = a[/tex].

Answer:

c, b, d, e, a

Step-by-step explanation:

Answer:

El caso de la adición es trivial.

La adición entre los números A y B es:

A + B

Entonces la adición entre los números 43 y -32 es:

43 + (-32)  

No hace falta realizar la suma para darnos cuenta de que el resultado tendra signo positivo, esto se da porque el módulo del número positivo es mayor que el del número negativo.

Así tenemos:

43 + (-32) = 43 - 32  = 11

Para el caso de la multiplicación podemos recordar:

(+)*(+) = (+)

(-)*(+) = (-)

(+)*(-) = (-)

(-)*(-) = (+)

Entonces el producto entre un número positivo y uno negativo (como es nuestro caso con 43 y -32) siempre tendrá un signo negativo.

Entonces podemos concluir que el signo de la multiplicación entre esos dos números va a ser negativo.

También podemos resolver la multiplicación de otra forma para ver esto:

43*(-32)

43*( (-1)*32)

43*(-1)*(32)

(-1)*(43*32)

Que es claramente un número negativo.

Answer:

1. something's missing

2. 120

3. 90

Step-by-step explanation:

Order of operations is: PEMDAS = parentheses, exponents, multiplication, division, addition, subtraction

1. Missing something in this first one

56 ?? 49 x 2

2. 100 + 5 x 4

first multiply:

= 100 + 20

then add:

=120

3. 8 x 12 - 6

first multiply:

= 96 - 6

then subtract:

= 90

Drop the full equation for number 1 in the comments and I'll walk you through it. :)

Answer:

90: D

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Here is the complete question

Priscilla has some grapes that she wants to give to her friends. She wants to give 1/4 of a kilogram of grapes to each friend. If Priscilla has 6 kilograms of grapes, to how many friends can she give grapes?

Number of friends she can give grapes to = total kilograms / kilogram she wants to give to each friend

6 ÷[tex]\frac{1}{4}[/tex]

6 x 4 = 24 friends

Answer:

-27x-41

Step-by-step explanation:

Answer attached.....

Hope it helps:)

Answer:

hope this helps you out ask me if you need more help

Answer:if it's 25% red, it's 50/50 that it will not be orange

Step-by-step explanation:

Answer:

946 sq inches

Step-by-step explanation:

28*7=196

30*25=750

750+196=946 i think thats how you do it lol

(=^w^=)

Answer:

946

Hope this helps!!!!!! :)

Answer:

sure

Step-by-step explanation:

tip, add the question.

Answer: its c

Step-by-step explanation:

Answer:

297/27=11

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

Answer: 0.1

Step-by-step explanation:

Answer:

so first you would find out the whole equation after you plug in x and it would be

y=8-6

y=2

so the answer is A. 2

The value of y is 2.

The correct option is (A).

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given equation is: y = 8 – 2x.

So, when x=3

y= 8-2*3

 =8-6

 = 2.

Hence, the answer is A. 2

Learn more about equation here:

https://brainly.com/question/2263981

#SPJ2

Answer:

This is how your function looks on a graph table. Hope this helps.

Answer:

Step-by-step explanation:

Equation is below

Step 1

(3x^2 y^5)^4  

Step 2

(3x^2 y^5)^4  Simplify

81x^8y^20

Step 3

81x^8y^20  check

Answer

81x^8y^20

Hope this helped

Answer:

(3a + 2b)(3a + 2b)

Step-by-step explanation:

9a² + 12ab + 4b²​

(3a + 2b)(3a + 2b)

Answer:

(3a+2b)(3a+2b)

Step-by-step explanation:

=9a^2 + 12ab + 4b^2

=9a^2 + 6ab + 6ab +4b^2

=3a(3a +2b) + 2b(3a + 2b)

=(3a + 2b) (3a + 2b)

Answer:

In order to get the number of hours spent by the students on homework, a survey would be conducted where information would be collected from the students.

Step-by-step explanation:

In order to acquire the information directly from the users which cannot be measured otherwise, surveys are the best option. These provide an appropriate way of reaching out to large masses at a small-time with little or no prior investment.

they made $1125 and the new balance is $8625

Answer:

earned in intrest would be 450.

Step-by-step explanation:

i did the assingment

Answer:

4.6

Step-by-step explanation:

2^2+x^2=5^2

4+x^2=25

x^2=25-4

x^2=21

x=square root 21

x=4.58=4.6

no they are not equal

24= 2 tens 4 ones

42= 4 tens 2 ones

hence they are not equal

hope this helps and pls mark brainliest I just need 1 more to progress on to the next level:)

Answer:

no not at all

Step-by-step explanation:

not the same number

Answer:

missing length is 8

Step-by-step explanation:

17^2 - 15^2 = 64

square root of 64 is 8

Answer:

8 inches

Step-by-step explanation:

Use the Pythagorean Theorem:

a²+b²=c²

15²+b²=17²

225+b²=289

b²=64

b=8

Therefore, the missing side is 8 inches long.

Answer:

Negative consumption externalities. When certain goods are consumed, such as demerit goods, negative effects can arise on third parties. Common example include cigarette smoking, which can create passive smoking, drinking excessive alcohol, which can spoil a night out for others, and noise pollution.

Answer:

0∙2=0

Step-by-step explanation:

Zero Property of multiplication is as follows :

The product of a number and 0 is equal to 0.

In option (c), 0 is multiplied by 2 and as a result, we get 0 as the answer.

It means,

0∙2=0

Hence, option (c) i.e. 0∙2=0 shows the Zero Property of Multiplication.

Answer:

11 = Y+5

Step-by-step explanation:

Answer:

i could be B or A not sure tho

Answer:

19.38b - 43.2a

Step-by-step explanation:

Simplify :

8.5b−3.4*(13a−3.2b)+a

Open the bracket :

8.5b - 44.2a + 10.88b + a

Collect like terms :

8.5b + 10.88b - 44.2a + a

19.38b - 43.2a

Answer:

1.43 is correct answer .

there data are given for 8 days

but we have to use only 7 days data