What is the next number in the sequence?

What is the value of 19 + 5a4 – 3b2 when a = 2 and b = −4?

densk [106]

19 + 5a⁴ - 3b²
19 + 5(2)⁴ - 3(-4)²
19 + 5(16) - 3(16)
19 + 80 - 48
99 - 48
51

7 0

3 years ago

I tried to figure it out but i can't. i need to show the work and i don't know how to do it.

Andreas93 [3]

Integration Formula:

$\int\limits {x}^{n} \, dx =\frac{x^{n+1}}{n+1} + C$

Integrate each term:

$\int\ {x^{2}} \, dx = \frac{x^{3}}{3}$

$\int\ {x} \, dx =\frac{x^2}{2}$

$\int\ {5} \, dx = 5x$

$\int\ {x} \, dx =\frac{x^2}{2}$

$\int\ {2} \, dx = 2x$

Altogether this becomes:

$\frac{\frac{x^3}{3} - \frac{x^2}{2}-5x }{ \frac{x^2}{2}+2x}$

Your limits are 1 and 2. Substitute both numbers into the equation and minus them from each other.

x = 2:

$\frac{\frac{2^3}{3} - \frac{2^2}{2}-5(2) }{ \frac{2^2}{2}+2(2)}$

-

x = 1:

$[tex]\frac{\frac{1}{3} - \frac{1}{2}-5 }{ \frac{1}{2}+2}$ [/tex]

x = 2:

$\frac{\frac{8}{3} - \frac{4}{2}-10 }{ \frac{4}{2}+4}$

-

x = 1: $\frac{\frac{8}{3} - 2-10 }{ 2+4}$

=

-1.212317928

Now convert all the answers to integers and see which one matches -1.212317928:

Because it's a negative number, we know it can only be A or B.

(A) = -1.212317928

(B) = -1.19047619

The answer is A: $-\frac{3}{2} +In\frac{4}{3}$

7 0

3 years ago

What is the value of e in the equation below ?<br><br> 7(2e-1)-11=6+6e=

IrinaK [193]

14e-7=6+6e=8e=24=e=3

5 0

3 years ago

3,524 a que numero decimal corresponde?

denpristay [2]

Answer:

3,524 corresponde al fraccionario $\frac{3524}{1000}$ .

Step-by-step explanation:

La coma está desplazada tres espacios (3 dìgitos) hacia la izquierda del observador, el número decimal tiene su equivalente forma fraccionaria, en donde el numerador son todos los dìgitos en series y el denominado tiene la forma 10ⁿ, donde n es la cantidad de espacios que ha sido desplazada la coma. Entonces, 3,524 tiene la siguiente expresión:

$3,524 = \frac{3524}{10^{3}}$

$3,524 = \frac{3524}{1000}$

3,524 corresponde al fraccionario $\frac{3524}{1000}$ .

5 0

3 years ago

3 \frac{1}{4}[/tex] = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D" id="TexFormula1" title="\frac{1}{2}" alt="\frac{1

adelina 88 [10]

Answer:

Look below

Step-by-step explanation:

Conversion a mixed number 3 1/

4

to a improper fraction: 3 1/4 = 3 1/

4

= 3 · 4 + 1/

4

= 12 + 1/

4

= 13/

4

To find new numerator:

a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/

4

= 12/

4

b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13

c) Write a previous answer (new numerator 13) over the denominator 4.

Three and one quarter is thirteen quarters

Conversion a mixed number 2 1/

3

to a improper fraction: 2 1/3 = 2 1/

3

= 2 · 3 + 1/

3

= 6 + 1/

3

= 7/

3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/

3

= 6/

3

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one third is seven thirds

Add: 13/

4

+ 7/

3

= 13 · 3/

4 · 3

+ 7 · 4/

3 · 4

= 39/

12

+ 28/

12

= 39 + 28/

12

= 67/

12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirteen quarters plus seven thirds = sixty-seven twelfths.

3 0

2 years ago