1. What is the decimal equivalent of 3/<br>9? 0.2 0.3 0.4 0.5

The rectangle below has an area of 70y^8+30y^6

bagirrra123 [75]

Answer:

the factor is

10y^6( 7y^2 + 3)

length is 10y^6

width is 7y^2 + 3

5 0

3 years ago

These tables represent an exponential function.Find the average rate of change for the interval from x=8 to x=9

GuDViN [60]

Answer:

Option D. 13122 is the answer.

Step-by-step explanation:

As we can see from the table having interval and average rate of change, figures under average rate of change are forming a geometric sequence.

Sequence is 2, 6, 18 , 54, 162, 486.

and we have to find the average rate of change from x = 8 to x = 9, means we have to find 9th term of the given sequence.

Now we know that explicit formula of the sequence can be written as $T_{n}=ar^{n-1}$

where Tn is the nth term of the sequence.

a = first term

r = common ratio

n = number of the term

Now from this explicit formula we can find the 9th term of the sequence.

From the given table

a = 2, r = 3, n = 9

$T_{9}=2.3^{9-1}=2.3^{8}$

T9 = 13122

Therefore Option D. 13122 will be the answer.

6 0

3 years ago

Find the equation of the line which is parallel to y = 4x + 3 and goes through the point (4, 5)

skad [1K]

Answer:

y = 4x - 11

Step-by-step explanation:

The given line has a slope m = 4.

We know parallel lines have equal slopes.

<u>Use point - slope equation and substitute the coordinates of the given point to get:</u>

y - 5 = 4(x - 4)
y - 5 = 4x - 16
y = 4x - 16 + 5
y = 4x - 11

7 0

2 years ago

Please help me asap i will give brainiest and all my points

Alinara [238K]

Answer:

a. Not Divisible

b. Divisible

c. Divisible

d. Divisible

e. Divisible

Step-by-step explanation:

To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.

Let's begin with a:

$16^{5}+215$ by 33

$1,048,576 + 215$

$1,048,791$

We now then divide the total amount with 33.

$\dfrac{1,048,576}{33}$

= 31,781.5454

We can see that the value has a decimal point indicating that the total value divided by 33 will return a remainder. So it is NOT Divisible by 33.

Now let's continue on with the others.

$51^{7}-51^{6}$ by 25

$897,410,677,851 - 17,596,287,801$

$879,814,390,050$

We now then divide the total amount with 25.

$\dfrac{879,814,390,050}{25}$

= 35,192,575,602

The total value did NOT return a decimal point, therefore making the equation true. $51^{7}-51^{6}$ IS divisible by 25.

Next on we have:

$5^{5}-5^{4} +5^{3}$ by 7

$3,125 - 625 + 125$

As we know in the PEMDAS rule, that addition comes first. In this situation we have to read the equation from left to right and solve which ever comes first.

$2,500 + 125$