2,367 DIVIDED BY 2 WITH THE REMAINDER

Logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

A log function is a way to find how much a number must be raised in order to get the desired number.

[tex]a^c =b[/tex]

can be written as

[tex]\rm{log_ab=c[/tex]

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Given to us

2⁵ = 32

As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,

[tex]2^5 = 32\\\\\rm log_2 32 = 5[/tex]

Hence, the logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

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3x + 2y ≥ 120

you are asking me to confirm whether the below statement is true

10 * 3 + 45 *2 ≥ 120 ?

30 + 90 = 120

120 ≥ 120

its not greater but its equal which means it is a possible solution

Answer:

Emily has 84 marbles now

Step-by-step explanation:

21×4

=84

Answer:

17.39

Step-by-step explanation:

48+a = 90

x= 42

sin 42 = x / 26

x = 17.39

(fog)(3) = 22

Step-by-step explanation:

f(x + 3x - 5; g(x)=x²9(3)=3²=9

(fog)(3) = f(g(3)) = f(9)=3-9-5=27

-5-22 [Ans]

Answer:

C

Step-by-step explanation:

1 + 0.02 means the 2% growth every month, power 12 means for 12 month, and power of 2 mean 2 years.

Answer:

Step-by-step explanation:

2.859 is less than the rest

Answer:

2.859 is ur answer.

..............

Answer:

Step-by-step explanation:

Take the six cantaloupes divide it by 32 pieces 6 divided by 32 is 0.1875

The amount of the cantaloupe in each portion will be;

⇒ 5.33

What is mean by Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Six cantaloupes are cut into 32 equal portions for a catering event.

Now,

Since, Six cantaloupes are cut into 32 equal portions.

Hence,

In each portion, the amount of cantaloupe = 32 ÷ 6

                                                                   = 32 / 6

                                                                   = 5.33

Therefore,

The amount of the cantaloupe in each portion will be;

⇒ 5.33

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Answer:

$76

Step-by-step explanation:

Regular price: $95

Discount %= 80%

What is 80% of 95

=) [tex]\frac{80}{100}[/tex]×[tex]\frac{95}{1}[/tex]=  76

So, $76 are discounted

Hope this helps!

Answer:

5

Step-by-step explanation:

[tex]g(x)=\frac{32}{x+3}\\\\\implies g^{-1}(x)=\frac{32}{x}-3\\\\g^{-1}o \ g=[g(g^{-1}(x))]=\frac{32}{\frac{32}{x}-3+3}=x\\\\\implies (g^{-1}o \ g)(5)=5[/tex]

Answer:

sorryi dont know

Step-by-step explanation:

Step-by-step explanation:

Slope formula:

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

m = slope

Substitute the points into the formula format:

[tex] \frac{7.5}{3} - \frac{5}{6} = m[/tex]

Solve:

[tex] \frac{ 7.5}{3} - \frac{5}{6} = \frac{2.5}{ - 3} [/tex]

[tex] \frac{ 2.5}{ - 3} = - \frac{5}{6} [/tex]

The slope equals -5/6.

Answer:

0.750 kg

Step-by-step explanation:

Hi there ,

As you know 1 kg = 1000g

So when we convert g to kg then we divide the given value of grams by 1000.

So in this case we have 750 grams, changing it we have :

[tex]\frac{750}{1000}[/tex]

Since there are 3 zeroes in 1000 we move the decimal point by 3 places to the left leaving the answer as : 0.750 kg or [tex]\frac{750}{1000}[/tex] kg

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0.0455 quarters of paints is not enough to paint the wall. she needs 15 quarters.

She needs 15 quarters of paint  for one wall .

She has 2 1 / 4 gallons left over from painting the other walls and she also has another 5 quarts that her neighbour gave her.

Therefore,

4 quarts = 1 gallon

5 quarts = 5 / 4 gallons

Then,

total gallon = 9 / 4 + 5 / 4 = 14 / 4  = 7 / 2 gallons

Therefore,

1 gallons = 0.01301053418982 quarters

7 / 2 gallons = ?

cross multiply

number of quarters = 3.5 × 0.01301053418982

number of quarters = 0.0455 quarters

Therefore, 0.0455 quarters of paints is not enough to paint the wall. she needs 15 quarters.

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Answer

the answer is 16 but i cant tell if there is anything after that is there?

Step-by-step explanation:

Answer:

1/x^8

Step-by-step explanation:

x^3*x^2 = x^5

x*x*x*x*x*x*x = x^7

x^5 / x^7 = 1/x^2

(1 / x^2)^4 = 1^4 / x^2*4 = 1/x^8

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

To find volume of sphere first we have to convert Diameter into radius .

Diameter = 2 radius

So:-

⇢Diameter = 2 radius

[tex]\\[/tex]

⇢Radius = Diameter/2

[tex]\\[/tex]

⇢Radius = 8/2

[tex]\\[/tex]

⇢Radius = 2 × 2 × 2/2

[tex]\\[/tex]

⇢Radius = 2 × 2/1

[tex]\\[/tex]

⇢Radius = 4/1

[tex]\\[/tex]

⇢Radius = 4 mm.

[tex]\\[/tex]

Now Finally Let's find volume of sphere.

We know:-

[tex]\\[/tex]

[tex]\star\boxed{\rm Volume~of~sphere=\frac{4}{3}\pi r^3}[/tex]

so:-

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\frac{4}{3}\times 3.14 \times 4^3\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 4^3\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 4\times 4\times 4\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=\dfrac{4}{3}\times \dfrac{314}{100} \times 64\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=1.33\times \dfrac{314}{100} \times 64\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere= \dfrac{1.33\times314 \times 64}{100}\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere= \dfrac{26,727.68}{100}\\[/tex]

[tex]\\\\[/tex]

[tex]\dashrightarrow \sf Volume~of~sphere=26,7.28 (approx)\\[/tex]

[tex]\\\\[/tex]

[tex] \therefore \underline{ \textbf{ \textsf{Volume~of~sphere = \red{26,7.28(approx)}}}}[/tex]

Answer:

x=3.24

Step-by-step explanation:

cos(29)=x/3.7

x=3.7 cos(29)

x=3.24

Hope it helps!

Answer:

(a) Yes Yes No No

(b) Yes No No Yes

Step-by-step explanation:

(a) [tex]\frac{-9}{10}=-\frac{9}{10}[/tex]

[tex]\frac{9}{-10}=-\frac{9}{10}[/tex]

[tex]\frac{-9}{-10}=\frac{9}{10}[/tex]

[tex]\frac{9}{10}=\frac{9}{10}[/tex]

(b) [tex]\frac{-3}{8}=\frac{3}{-8}[/tex]

[tex]\frac{3}{8}=\frac{3}{8}[/tex]

[tex]\frac{-3}{-8}=\frac{3}{8}[/tex]

[tex]-\frac{3}{8}=\frac{3}{-8}[/tex]

Answer:

4x-8u+10

Step-by-step explanation:

You take the -2 inside the brackets to remove the brackets. (parenthesis=brackets)

-2×-2x=4x

-2×+4u=-8u

-2×-5=10

4x-8u+10

Answer:

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

Step-by-step explanation:

[tex]\frac{2}{x} = -8[/tex]

[tex]2 = -8x[/tex]

[tex]x = \frac{-2}{8}[/tex]

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

Answer:

[tex]\sf x=-\cfrac{1}{4}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{2}{x}=-8[/tex]

[tex]\sf \cfrac{2}{x}x=-8x[/tex]

[tex]\sf 2=-8x[/tex]

[tex]\sf \cfrac{-8x}{-8}=\cfrac{2}{-8}[/tex]

[tex]\sf x=-\cfrac{1}{4}[/tex]

Answer:

It means there is no chance this will happen or in other words a 0% chance

Step-by-step explanation:

Answer:

  2.735%

Step-by-step explanation:

The amount due on principal P after t years at rate r is ...

  A = P(1 +rt)

Filling in the given values, we can solve for r:

  20,953.80 = 18000(1 +6r)

  20953.80/18000 -1 = 6r = 0.1641

  r = 0.1641/6 = 0.02735 = 2.735%

Joel's interest rate was 2.735%.

Answer:

A because its not the one that maintains congruence

Step-by-step explanation:

^^^^^

Answer: 20

Step-by-step explanation:

You do 40➗2 which you would get 20.

    Then you would round 20 to the nearest tenth, then you get 20.  

Because if the number on the left/right is between 0 and 4, the whole number stays the same.

Note: 0-4 stays the same   5-9 higher number.

    For example: Rounding 164 to the nearest tenth will become 160.

Answer:

28.26 units³

Step-by-step explanation:

gi solved kopo yan

Answer:

yes

Step-by-step explanation:

no

Answer:For example, choice A is incorrect because if the value of 10x + 3 were 4, then it would follow that x = 0.1, and the value of 5x + 6 would be 6.5, not 10.

Step-by-step explanation:

The answer is

3a + 5 = 12

subtract 5 from both sides

3a = 7

divide by 3 on both sides to isolate "a"

a = 7/3

Substitute 7/3 for "a" in the second equation

6(7/3) + 14

6 multiplied by 7/3 = 42/3 = 14

14 + 14 = 28

Answer:

D.) Equation (4)

Step-by-step explanation:

1. y= (2)+6  =8

2. y=2(2)+4 =8

3. y= 3(2)+2 =8

4. y=5(2)-4 =6

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16