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4 years ago

What is the value of the expression? (−3)3+6312

Mathematics

2 answers:

liq [111]4 years ago

8 0

Answer:

6303

Step-by-step explanation:

Serjik [45]4 years ago

6 0

$\text{Solve the expression:}\\\\(-3)(3)+6312\\\\-3+6312\\\\\boxed{6303}$

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Rewrite 34 = 81 in logarithmic form.

Anna35 [415]

Answer:

$log_3(81) = 4$

Step-by-step explanation:

Given

$3^4 = 81$

Required

Rewrite in logarithmic form

We start by taking log of both sides

$3^4 = 81$

$log3^4 = log81$

From laws of logarithm;

$loga^b = b\log(a)$

So; $log3^4 = log81$ becomes

$4log3 = log81$

Divide both sided by log3

$\frac{4log3}{log3} = \frac{log81}{log3}$

$4 = \frac{log81}{log3}$

From laws of logarithm;

$\frac{loga}{logb} = log{_b}(a)$

So;

$4 = \frac{log81}{log3}$ becomes

$4 = log_3(81)$

$log_3(81) = 4$

Hence, $3^4 = 81$ in logarithm form is $log_3(81) = 4$

7 0

3 years ago

Given that the diameter of Circle A is 6 cm , and the radius of Circle B is 18 cm , what can be concluded about the two circles?

ELEN [110]

Answer:

The radius of circle B is 6 times greater than the radius of circle A

The area of circle B is 36 times greater than the area of circle A

Step-by-step explanation:

we have

Circle A

$D=6\ cm$

The radius of circle A is

$r=6/2=3\ cm$ -----> the radius is half the diameter

Circle B

$r=18\ cm$

Compare the radius of both circles

$3\ cm< 18\ cm$

$18=6(3)$

The radius of circle B is six times greater than the radius of circle A

Remember that , if two figures are similar, then the ratio of its areas is equal to the scale factor squared

All circles are similar

In this problem the scale factor is 6

$6^{2}=36$

therefore

The area of circle B is 36 times greater than the area of circle A

8 0

3 years ago

100 points I’ll mark you brainliest Answer all please

Komok [63]

Answer:

u1 = 1

u6 = 31

un = 1 + 6(n - 1)

Step-by-step explanation:

Sn = 3n² - 2n

u1 = S1

3(1)² - 2(1)

3 - 2

u6 = S6 - S5

[3(6)² - 2(6)] - [3(5)² - 2(5)]

96 - 65

un = a + (n - 1)d

u6 = a + 5d

31 = 1 + 5d

5d = 30

d = 6

un = 1 + 6(n - 1)

5 0

3 years ago

Read 2 more answers

If a pattern starts with one and doubles each term(1,2,4,8,16...) what is the algebraic pattern rule from y(term value) to x(ter

grin007 [14]

Answer:

Step-by-step explanation:

y=a(r)^{n-1}

y=1(2)^{x-1}

7 0

3 years ago

A rectagular, above ground pool is 18 feet long, 9 feet wide, and 54 inches deep. One cubic foot of water weighs about 62.4 poun

ollegr [7]

Answer:

45,489.6 pounds!

Step-by-step explanation:

To solve this problem, first we need to find the volume of the pool.

We know that the dimensions of the pool are:

Width = 9ft

Length = 18ft

Height = 54in = 4.5 ft

So the volume of the pool is:

Volume = Width x Length x Height = 9ftx18ftx4.5ft = 729ft^3

We know that one cubic foot of water weights about 62.4 pounds. To fill the pool, we will need 729ft^3 of water.

So the weight of the water is:

Weight = 729ft^3 x 62.4 pounds/ft = 45,489.6 pounds!

4 0

3 years ago