Find g(f(-1)).
gf-1)) =(

Answer:

C. log 10m is the correct answer.

Step-by-step explanation:

The laws of logarithm states that if you have:

[tex] log(a) + log(b ) = log(a \times b) = log(ab) [/tex]

So, comparing that to your question,

[tex] log(m) + log(10) = log(10m) .[/tex]

Answer:

6. 7.5/1

7. 2.4/1

8. 40/1

Step-by-step explanation:

All you have to do is divide the 2 numbers to find the unit rate.

Answer:

6: 7.5 pizzas per Classroom

7: 2.4 Liters per test

8: 40 Points per Game

Atbilde:

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Soli pa solim:

Latvietis

Anna = x

Vita = x + 8

Uldis = x + 10

Kopā = 60

x + x + 8 + x + 10 = 60

3x + 18 = 60

3x = 60 - 18

3x = 42

x = 42/3

x = 14

Anna = 14

Vita = 14 + 8 = 22

Uldis = 14 + 10 = 24

Answer:

Step-by-step explanation:

[tex]1.\\ \\ \frac{sin148}{25}=\frac{sinx}{12}\\ \\ x=sin^{-1}\frac{12sin148}{12}\\ \\ x=32^o\\ \\ 2.\\ \\ x^2=42^2+16^2-2(42)16cos120\\ \\ x^2=2692\\ \\ x=\sqrt{2692}\\ \\ 3.\\ \\ 19^2=17^2+14^2-2(17)14cosx\\ \\ x=cos^{-1}\frac{124}{476}\\ \\ x=74.9^o\\ \\ 4.\\ \\ \frac{sin22}{15}=\frac{sin(180-48-22}{x}\\ \\ x=\frac{15sin110}{sin22}\\ \\ x\approx 37.63[/tex]

Answer:

4. [tex]\displaystyle 38 ≈ x[/tex]

3. [tex]\displaystyle 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 52 ≈ x[/tex]

1. [tex]\displaystyle 15° ≈ m∠X[/tex]

Step-by-step explanation:

Before we begin, here are the formulas for both laws:

Solving for Angles

[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X[/tex]

Do not forget to use [tex]\displaystyle cos^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle y^2 + x^2 - 2yx\:cos∠Z = z^2 \\ z^2 + x^2 - 2zx\:cos∠Y = y^2\\ z^2 + y^2 - 2zy\:cos∠X = x^2[/tex]

Take the square root of the end result or you will throw it off!

-----------------------------------------------------------------------------------

Solving for Angles

[tex]\displaystyle \frac{sin∠Z}{z} = \frac{sin∠Y}{y} = \frac{sin∠X}{x}[/tex]

Do not forget to use [tex]\displaystyle sin^{-1}[/tex]in the end or you will throw the result off!

Solving for Edges

[tex]\displaystyle \frac{z}{sin∠Z} = \frac{y}{sin∠Y} = \frac{x}{sin∠X}[/tex]

_____________________________________________

4. [tex]\displaystyle \frac{15}{sin\:22} = \frac{x}{sin\:110} \hookrightarrow \frac{15sin\:110}{sin\:22} = x \hookrightarrow 37,627178911... = x \\ \\ 38 ≈ x[/tex]

3. [tex]\displaystyle \frac{-19^2 + 17^2 + 14^2}{2[17][14]} = cos∠X \hookrightarrow \frac{-361 + 289 + 196}{476} = cos∠X \hookrightarrow 0,2605042016... = cos∠X; 74,900018217...° = cos^{-1}\:0,2605042016... \\ \\ 75° ≈ m∠X[/tex]

2. [tex]\displaystyle 16^2 + 42^2 - 2[42][16]\:cos\:120 = x^2 \hookrightarrow 256 + 1764 - 1344\:cos\:120 = x^2 \hookrightarrow \sqrt{2692} = \sqrt{x^2}; 2\sqrt{673}\:[or\:51,884487084...] = x \\ \\ 52 ≈ x[/tex]

You could have also used the Law of Sines sinse the base angles are congruent [30°].

1. [tex]\displaystyle \frac{sin\:148}{25} = \frac{sin∠X}{12} \hookrightarrow \frac{12sin\:148}{25} = sin∠X \hookrightarrow 0,2543612468... = sin∠X; 14,735739332...° = sin^{-1}\:0,2543612468... \\ \\ 15° ≈ m∠X[/tex]

I am joyous to assist you at any time.

Answer:

c

Step-by-step explanation:

Answer:

The minimum: 3

The lower Q: 7

The median: 7

The upper Q: 6

Maximum: 11

Step-by-step explanation:

Answer:

you can use a graphing calc

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

1/5 x 40 = 8

(Hope this helps! Btw, I am the first to answer.)

Answer:

B) 3+8=20-9 & D) 12+7=5+14

Step-by-step explanation:

3 + 8 = 11, 20 - 9 = 11

12 + 7 = 19, 5 + 14 = 19 :)

Answer:

The second option

Step-by-step explanation:

c=[tex]\sqrt{16^{2} +12^{2} }[/tex]

c=20 m

Answer:

Step-by-step explanation:

1. 26/169 = 2/13

2. 36/78= 6/13

Answer: Kristina  sister's age = 15 years

Step-by-step explanation:

LET the sister's age be rep as x

SO that Kristina = 4/5 of x

Given that Kristina's age = 12 , Then her sister's age can be found using The equation

4/5 x X= 12

4/5 X =12

X = 5 X 12 / 4

=60/4=15

Kristina's sister's age = 15 years.

Answer:

Rewrite so x is on the left side of the inequality.

8 + 4.99x < 20

Move all terms not containing x to the right side of the inequality.

4.99x < 12

Divide each term by 4.99 and simplify.

x < 2.405

The result can be shown in multiple forms.

Inequality Form:

x < 2.405

Interval Notation:

( −∞ , 2.405 )

Step-by-step explanation:

Answer:

Both:

1

2

Inequality Only:

-4

3/4

2.3

Neither:

2.5

Answer:

0.5 pounds per container.

Step-by-step explanation:

just divide 3 pound by 6 containers so it would be 3/6 which is equal to 1/2 which is the same as 0.5

There each container holds a number of pounds of flour which would be  0.5 pounds.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

If three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour, we can find out how many pounds of flour each container holds by dividing the total amount of flour by the number of containers.

We can use the following equation to find out how many pounds of flour each container holds:

pounds of flour per container = total pounds of flour / number of containers

So, using this equation:

pounds of flour per container = 3 / 6

Apply the division operation, and we get

pounds of flour per container = 0.5

Each container holds 0.5 pounds of flour.

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Answer:

1/2 + 2/4

11/12 - 1/6  

3/5 + 3/20  

7/8 - 1/2

Step-by-step explanation:

Answer:

x ≤ 7.5

Step-by-step explanation:

First, get x alone by multiplying both sides by 3 (to get rid of the fraction)

3 (1/3x) ≥ 3(2.5)

x ≤ 7.5

(The sign will flip whenever you multiply or divide in an inequality)

Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5

Answer:

FD = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{FD}{BA}[/tex] = [tex]\frac{FE}{BC}[/tex] , substitute values

[tex]\frac{x+3}{2x+2}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides

4x + 4 = 3x + 9 ( subtract 3x from both sides )

x + 4 = 9 ( subtract 4 from both sides )

x = 5

Thus

FD = x + 3 = 5 + 3 = 8

Answer:

6.65

Step-by-step explanation:

0.95% of 700

= 0.0095*700

= 6.65

The value of 0.95% of the number 700 is 6.65.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number 700 is 0.95%. The number will be calculated as below,

Number = 0.95% of 700

Number = 700 x 0.95/100

Number = 6.65

Therefore, the value of 0.95% of the number 700 is 6.65.

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Answer:

sin M = NK/MK = m/n

cos K = NK/MK = m/n

=> sin M/cos K = 1

Answer:

7- 110

11-70

about rest I don't know sorry

Answer:

b = -7

Step-by-step explanation:

18 = -5b-17

Add 17 to each side

18+17 = -5b-17+17

35 = -5b

Divide each side by -5

35/-5 = -5b/-5

-7 = b

Answer: 5/16

Step-by-step explanation:

Answer:

0.0125

Step-by-step explanation:

1/8=2/5x

Divide by 2/5 on each side of the equation. X=0.0125. 0.0125=1/80. The last option.

Answer:  the answer is going to be 64m hope this helped :)

Step-by-step explanation:

Answer:

3.60

Step-by-step explanation:

3c=7m

c=m+12 solve for m

To obtain the value of one unknown quantity linear equation in one variable can be formed. The cost of one mug is given as $21.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

Given that,

The cost of 3 calculators = The cost of 7 mugs.

The cost of each calculator is $12 more than each mug.

Suppose, cost of each mug be x.

And, cost of each calculator is x + 12.

As per the question the following equation can be made,

7 ×(x + 12) = 3x

=> 7x - 3x = 84

=> 4x = 84

=> x = 21.

Hence, the cost for one mug is $21.

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Answer:

11

Step-by-step explanation:

Work backwards and reverse the operations to find the original number.

Reverse the operations for add four: 8 - 4 = 4

Reverse the operations for take the square root: 4² = 16

Reverse the operations for subtract six: 16 + 6 = 22

Reverse the operations for double the number: 22 ÷ 2 = 11

Answer:

log3 (10) = x

the 3 is a tiny 3

Step-by-step explanation:

remember the saying, left right left.

so, 3 goes to the left, x goes to the right, and 10 goes to the left side of the equal sign which in turn comes out to log3(10) =x

Answer:

1/3a = -5

1=3a×-5

1=-15a

a=-1/15

Answer:

a=-15

Step-by-step explanation:

1/3a = -5

1/3(*3)a=-5*3

a=-15