I’ll mark you as brainliest!

Answer:

The base is: [tex]3 \sqrt[3]{4}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{4}(\sqrt[3]{108})^x[/tex]

Required

The base

Expand 108

[tex]f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x[/tex]

Rewrite the exponent as:

[tex]f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x[/tex]

Expand

[tex]f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x[/tex]

[tex]f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x[/tex]

Rewrite as:

[tex]f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x[/tex]

An exponential function has the following form:

[tex]f(x)=ab^x[/tex]

Where

[tex]b \to base[/tex]

By comparison:

[tex]b =3 \sqrt[3]{4}[/tex]

So, the base is: [tex]3 \sqrt[3]{4}[/tex]

Answer:

4/3

Step-by-step explanation:

Out of the six sides 3 are odd and there's 5 numbers greater than 1. Basically these turn to the fractions 3/6 and 5/6 (these fractions stand for the probability they get rolled on this die).

Since the question says OR and not AND you add these fractions!

3/6 + 5/6 = 4/3

Answer:

hey mate

which laungage is this

Answer:

x = 65

Step-by-step explanation:

if two triangles are similar then we can use the similarity ratio to find the length of CH

60/156 = x/169 cross multiply expressions

156x = 10140 divide both sides by 156

x = 65

Answer:

the second one for #4 and the third one for #5

Step-by-step explanation:

4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or

y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).

5.

Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.

Ming = 6 apple pies + 5 lemon pies and he got 94 dollars.

If apple pie is "a" and lemon is "l":

6a + 4l = 80

6a + 5l = 94,

so C is the answer

Answer:

12,599.1

Step-by-step explanation:

13,999 * 0.9 = 12,599.1

Answer:

1399.9

Step-by-step explanation:

Firstly you get your number 13'999 and divide it by ten because its ten percent of.

Answer:

5(x+2)

Step-by-step explanation:

each term, 5x and 10, have only the number 5 in common

factor out the 5 to get:

5(x+2)

Answer:

(x+7)(x-1)

Step-by-step explanation:

x^2 + 6x -7

so here we need two number that give 7 when multiplied and 6 when subtracted

7 and 1 are the numbers because

7*1=7  and ,

7-1=6  so,

x^2 + (7-1)x -7

x^2 +7x -x -7

take common from first two terms and from third and fourth term

x(x+7)-1(x+7)

take (x+7) as common

(x+7)(x*1 -1*1)

(x+7)(x-1)

Answer:

There are two major methods of forecasting

One is the Causal method and the 2nd one is the times series method

Causal method mainly tries to find out cause and effect relation between variable and various factors impacting that variable while the time series method infuences the utilization of the historical data and mainly focus to forecast based on the trend present. It simply ignores the other variables. It just tries to give an idea of a trend, it can't predict the impact of other variables as in causal method.

Linear regression analysis can be utilized in both sort of estimating technique. By linear regression analysis we can anticipate effect of different factor on factor variable. It anticipate the pattern, yet additionally gives an idea about connection among variable and different elements affecting it. That is the reason Linear regression is considered as best technique for forecasting.  

Presently, going to the next part of this inquiry, Time period utilized in moving normal is settled based on fluctuation showing up in how much period, to smoothen out the variation. Also, Alpha value is chosen dependent on the time span to smoothen out the variation in the information. Changing of time-frame or distinctive alpha will make estimation complex. And furthermore, it will make computation more probabilistic as opposed to deterministic which may create mistake whenever done by manual calculation. That is the reason program are important in such sort of computation

Answer:

108 centimeters

Step-by-step explanation:

There are 12 edges total.

9 x 12 = 108

Answer:

length = 20

width = 7

Step-by-step explanation:

Perimeter of a rectangle is

P = 2(l+w)

54 = 2( 3x+2 + 2x-5)

Combine like terms

54 = 2( 5x -3)

Divide each side by 2

54/2 = 5x-3

27 = 5x-3

Add 3 to each side

27+3 = 5x-3+3

30 = 5x

Divide by 5

30/5 = 5x/5

6 =x

3x+2 = 3(6)+2 = 18+2 = 20

2x-5 = 2(6)-2 =12-5 =7

Answer:

Length = 20 cm

Width = 7 cm

Step-by-step explanation:

Given that :-

To find :-

Find the measures of length and width

Solution :-

Using Formula :-

Perimeter of rectangle = 2 ( l + b )

Where,

Substitute the values

54 cm = 2 ( 3x + 2 + 2x - 5 )

Combine like terms

54 cm = 2 ( 3 x + 2 x + 2 - 5)

54 cm = 2 ( 5 x -3)

Simplify both sides of the equation.

54 = 2( 5x− 3 )

54 = (2)(5x) + (2)(−3). .. ( Distribute )

54 = 10x +−6

54 = 10x −6

Flip the equation.

10x −6 = 54

Add 6 to both sides.

10x −6 + 6 = 54 + 6

10x = 60

Divide both sides by 10.

10x / 10 = 60 / 10

x = 6

Therefore ,

Length = 3x + 2 =3 ×6 + 2 = 18 + 2 = 20 cm

Width = 2x- 5 = 2 × 6 - 5 = 12 - 5 = 7 cm

7.)

cbrt(1200)

10.63

8.)

sqrt(112)

10.58

Answer:

1.) because 10^3=1000 and 11^3 = around 1330  we know that the answer must fall between 10 and 11. Because they're pretty much equal distance I would estimate it to be around 10.5 (if you need an exact answer it's 2∛150)

2.) because 11^2=121 and 10^2= 100 we know that it must fall between 10 and 11. Because these are pretty much equal distance as well I would estimate it to be around 10.5 as well (if you need an exact answer it's 4√7)

Step-by-step explanation:

Answer: choice D

Step-by-step explanation:

In order for something to be a function for every x input there must be exactly 1 y output. This means that if x is a number then y must always be 1 number and that 1 number only.

No they aren't

___________

Answer:

[tex]volume = 4 \times 4 \times 4 \\ = {4}^{3} \\ = 64 \: cubic \: ft[/tex]

Answer:

-2+6=4

0+6=6

4+6=10

x+2=2. x=2-2. x=0

Step-by-step explanation:

hope this is helpful

Step-by-step explanation:

y=sin ^-1(9/14) =44,27 degree

X= by pythegoras) =14 square - 9 square

= root 115

Answer:

as we know Sara need 8 tube in 3 experiment

she will use 2 tube in 1 experiment

now she have 6 tube in other experiments

so the question said to find how many tube were used in both experiment equally so 3,3 test tube were needed for each of the other two experiment

Step-by-step explanation:

total tube=8 (3 experiment)

used =2tube (1 experiment)

remaining=8-2=6

now ,

dividing 6 into 2 equal part

so,=6/2=3

so 3 tube were used in 2nd experiment and 3in 3rd experiment

Answer:

   12°

Step-by-step explanation:

Sum of interior angles of the triangle is 180°:

   m∠A + m∠B + m∠C = 180°

   3x + 28° + 5x + 52° + 2x - 10° = 180°

   10x + 70° = 180°

   10x = 110°

   x = 11°

Find the measure of angle C:

   m∠C = 2x - 10° = 2(11°) - 10° = 22° - 10° = 12°

Answer:

Step-by-step explanation:

(2x - 10)° + (5x + 52)° + (3x + 28)° = 180°

10x + 70 = 180

x = 11

m∠C = [ 2(11) - 10 ]° = 12°  

Answer:

Amount won : $3,000,000

Step-by-step explanation:

Let the amount won be =100 x

Amount spent on house :

                                     [tex]\frac{4}{5} \ of \ 100 x = 80 x[/tex]

Remaining amount = 100x - 80x = 20x

Amount spent on yacht :

                                    [tex]\frac{3}{4} \ of \ 20x = 15x[/tex]

Remaining amount = 20x - 15x = 5x

Amount spent on a trip :

                                   [tex]\frac{2}{3} \ of \ 5x = \frac{10}{3}x[/tex]

Remaining amount =

                         [tex]5x - \frac{10}{3}x = \frac{15x -10x}{3} = \frac{5x}{3}[/tex]

This amount is given for charity :

                                                     [tex]\frac{5}{3}x[/tex]

But given :

           Amount given to charity is  50000

Therefore ,

                 [tex]\frac{5}{3}x = 50000[/tex]

                [tex]5x = 3 \times 50000\\\\5x = 150000\\\\x = 30000[/tex]

Therefore , the amount won on lottery is = 100x = 100 ( 30000) = 3,000,000

The amount of money he won

Answer:

Step-by-step explanation:

1) x-y=18

2) 2x/7-y/4=6

from 1) x=18+y      substituting in 2)

2(18+y)/7-y/4=6

36/7+y(2/7-1/4)=6

y=(6-36/7)/(2/7-1/4)

y=(6/7)/(1/28)

y=24

x=18+y=18+24

x=42

9514 1404 393

Answer:

Step-by-step explanation:

The properties of equality say the value of the variable does not change if the same function is performed on both sides of the equal sign.

a) 4x +7 = 19   ⇒   4x = 12

The value -7 was added to both sides. Equivalently, 7 was subtracted from both sides. The Subtraction Property of Equality was used.

__

b) 2x/3 = 8   ⇒   2x = 24

Both sides were multiplied by 3. The Multiplication Property of Equality was used.

__

c) 5x -6 +2x = 22   ⇒   7x -6 = 22

Terms 5x and 2x were combined and written as 7x. We call this Combine Like Terms.

Answer:

512

Step-by-step explanation:

9514 1404 393

Answer:

  (A)  6

Step-by-step explanation:

Divisors of 6 are ...

 1, 2, 3, 6

The sum of all but the last is 1+2+3 = 6.

Then  <<<6>>> = <<6>> = <6> = 6.

_____

Additional comment

Among integers less than 200, only 6 and 28 are solutions to <n> = n.

Answer:

3.6 x 10⁵ g of sodium chloride

Step-by-step explanation:

Answer:

3.6 x 10⁵ g

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Assuming your mean we have the points

(6, -10) and ( 3, -13)

We can use the slope formula

m = (y2-y1)/(x2-x1)

m = ( -13 - -10)/( 3 - 6)

    = (-13+10)/( 3-6)

   = -3 / -3

    = 1