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Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents.

(b^4)2

Answer

1 + 32 + 243 + 1024 + .. + n5

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Equate

3n - 1 = 299 ( add 1 to both sides )

3n = 300 ( divide both sides by 3 )

n = 100

Then 299 is the 100 th term of the sequence

Answer:

2.5t 7.3=18.25

Step-by-step explanation:

250/100,please mark as brilliant

Answer:

12.35-4.30=8.05

8.05÷3= 2.68333333333333....

            ≈2.68

Answer: The scale factor of the dilation [tex]=\dfrac32[/tex]

Step-by-step explanation:

[tex]\text{Scale factor}=\dfrac{\text{Side in image}}{\text{Corresponding side in preimage}}[/tex]

Given: Rectangle A has a length of 6 and width of 4.

Rectangle A prime has a length of 9 and width of 6.

Scale factor = [tex]\dfrac{9}{6}\ \ \ or \ \ \dfrac{6}{4}[/tex]

[tex]=\dfrac32[/tex]

Hence, the scale factor of the dilation [tex]=\dfrac32[/tex]

Answer:

3/2

Step-by-step explanation:

Given:

The number is [tex]-\dfrac{7}{5}[/tex].

To find:

The location of the given number of the number line.

Solution:

We have,

[tex]Number=-\dfrac{7}{5}[/tex]

It can be written as

[tex]Number=-\dfrac{5+2}{5}[/tex]

[tex]Number=-\dfrac{5}{5}-\dfrac{2}{5}[/tex]

[tex]Number=-1-\dfrac{2}{5}[/tex]

It means the number is less than -1 but more than -2. So, the number lies between -2 and -1.

The mixed fraction form of given number is

[tex]Number=-(1+\dfrac{2}{5})[/tex]

[tex]Number=-(1\dfrac{2}{5})[/tex]

[tex]Number=-1\dfrac{2}{5}[/tex]

Divide the number in 5 equal parts between two consecutive integers.

Now each unit represents [tex]\dfrac{1}{5}[/tex].

Since [tex]Number=-1-\dfrac{2}{5}[/tex], therefore, it is 2 units left from -1.

The number line is given below.

Answer:

26mm because w=6mm and the perimeter of the smaller triangle is 48mm

Answer:

14 degrees F

Step-by-step explanation:

Answer:

Step-by-step explanation:

from -7 degrees F to 0 are 7 degrees change

from 0 to 7 are also 7 degrees,

in total are 14 degrees in change

Given diameter is 32, radius would be 16 bc radius is always half of diameter, and circumference would be 2(pi)*radius, which would be 100.5309649.... and area is (pi)*radius^2 which would be 804.2477193........

Answer:

Please translate this to English so I can help you?! :)

Step-by-step explanation:

Answer:

[tex]\frac{1}{4} = 2^{-2}[/tex]

[tex]\frac{1}{100} = 10^{-2}[/tex]

Step-by-step explanation:

The question is poorly formatted. However, I am able to get:

1. 1/4 and 2. 1/100

Required

Write as an expression of negative expression

1. 1/4.

Express 4 as 2^2

[tex]\frac{1}{4} = \frac{1}{2^2}[/tex]

Apply

law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]

[tex]\frac{1}{4} = 2^{-2}[/tex]

2. 1/100.

Express 100 as 4^2

[tex]\frac{1}{100} = \frac{1}{10^2}[/tex]

Apply law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]

[tex]\frac{1}{100} = 10^{-2}[/tex]

Answer:

1 1/3 - 5/6 = 1/2

Step-by-step explanation:

First we will need to make a common denominator on both sides, so since we have the second side divided in six, we can do the same to the first side as shown;

1/3 = 2/6

now this will help us a lot, now all we have to do is take what we can out of the fraction (2/6) out of the first side so it is equal to 0, NOTE this is not a professional way to do it but it helps me a lot;

5/6 - 2/6 = 3/6

this makes it easy all of a sudden, cause now its in a simpler form, we can tell this because we know that 3/6 is equal to 1/2, so now all we have to do is take 1/2 from our 1 that we are left over with, and VWOLA;

1 - 1/2 = 1/2

GRAND TOTAL;

1 1/3 - 5/6 = 1/2

(note: the space between the 1 and the 1/3 indicates that they are two separate numbers, so you dont have to put the 'and' there)

Answer:

24 players

Step-by-step explanation:

Answer:

24. 60 X 4/10 is 24

Step-by-step explanation:

Answer:

-24.71%

Step-by-step explanation:

Step-by-step explanation:

This numerical sequence corresponds to a geometric progression, which occurs when there is a multiplication of the sequence numbers for a common reason whose result will always be the successor number of the numerical sequence.

Like for example:

The common reason for the geometric progression is the number 2, so the first term of the sequence multiplied by 2 will be equal to the second term of the sequence and so on:

3x2 = 6

6x2 = 12

12x2 = 24

24x2 = 48

It is necessary to emphasize that the ratio of a geometric progression will always be constant and will always be a number other than zero.

Answer:

15.26km

Step-by-step explanation:

Con la informacion de la pregunta e hecho un diagrama de la situacion. Podemos ver en el diagrama que el recorido forma un triángulo rectángulo. Entonces para saber la distancia que recorreria por el camino recto desde su casa a su trabajo tendriamos que calcular el valor de x, que se puede calcular usando el teorema de pitagoras que es el siguiente.

[tex]a^{2} + b^{2} = c^{2}[/tex]

donde a y b son el ancho y el alto del triangulo y el c seria x

[tex]8^{2} + 13^{2} = x^{2}[/tex]

[tex]64 + 169 = x^{2}[/tex]

[tex]233 = x^{2}[/tex]

[tex]15.26 = x[/tex]

Finalmente, podemos ver que la distancia seria 15.26km

Answer:

Let width = b

Then length,l=2b

Perimeter =72

2(l+b)=72

2(2b+b)=72

2(3b)=72

6b=72

b=72/6=12

L=2b=12x2=24

Answer:

less than 1yd²:

2/3x3/5= 2/5

1/4x5/3= 5/12

1/2x9/10= 9/20

equal to 1yd²

1/4x4/1= 1

4/3x6/8= 1

more than 1yd²

2/3x5/3= 1.1

Step-by-step explanation:

2/3x3/5= 2/5

1/4x4/1= 1

2/3x5/3= 1.1

1/4x5/3= 5/12

1/2x9/10= 9/20

4/3x6/8= 1

Answer:

2..........3

--- x ---

3............5

Step-by-step explanation:

goes to area less than 1square yard

35 - 0.80*35 = x

35 - 28 = x

7 = x

x = 7

He paid $7

Answer: He completes 2 4/5 rows per hour

if he completed 140 rows, how many hours did it take?

We should divide the work completed by the amount of work done per hour.

So, 140/(2 4/5) =  

2 4/5 is equivalent to 2.8  

so 140/2.8 = 50 hours

Step-by-step explanation:

Use this to answer

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run

Preço de um sapato = $ 180,00

Desconto concedido se o sapato for comprado em dinheiro = 10%

Custo do calçado quando comprado à vista :

[tex] =\tt 180 - 10\% \: \: de \: \: 180[/tex]

[tex] = \tt180 - \frac{10}{100} \times 180[/tex]

[tex] =\tt180 - \frac{10 \times 180}{100} [/tex]

[tex] = \tt180 - \frac{1800}{100} [/tex]

[tex] =\tt 180 - 18[/tex]

[tex]\color{plum} =\tt\$162.00[/tex]

▪︎Assim, preço do sapato quando comprado em dinheiro = $ 162,00

Answer:64 people

Step-by-step explanation: total no. of members=80

%decrease=20

20/100 x 80=16(people that left)

people rem.=80-16

Answer: She sold 2.68kg of apples in the market

Step-by-step explanation:

Weight of pears and apples= 6.7 kg

weight of pears = 3/5 x 6.7 kg= 4.02 kg

Weight  of apples = Total weight of the fruits -  weight of pears

= 6.70kg- 4.02kg =2.68 kg

Answer:

16 rs maybe not sure sry if wrong

Answer:

Step-by-step explanation:

Hgbuf7g

Answer:

Segunda etapa= 123.75 metros

Step-by-step explanation:

Altura total= 225 metros

En la primera estapa subió el 20% (un quinto):

Primera etapa= 225*0.2= 45 metros

En la tercera etapa subió 25% (un cuarto):

Tercera etapa= 225*0.250 56.25 metros

Ahora debemos determinar cuánto subió en la segunda etapa:

Segunda etapa= altura total - total subido

Segunda etapa= 225 - (45 + 56.25)

Segunda etapa= 123.75 metros

Answer:

x = 22

Step-by-step explanation:

hope I helped!!