If g(x) = 2 - 5x, what is the value of g(2) - g(5)?

Answer:

20 lawyers

Step-by-step explanation:

48 ÷ 12 = 4

which means every year 4 lawyers are hired

5 × 4 = 20

so this means the law firm has hired 20 lawyers in the last 5 years

Answer:

1/2

Step-by-step explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)²  = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2

Answer:

n > 62

Step-by-step explanation:

All values in the set are greater than 62.

Answer: n > 62

Answer:

Top left corner

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

A = 84 ft^2

Step-by-step explanation:

A = bh  where b is the base and h is the height

A = 12*7

A = 84 ft^2

Answer:

-1 to 1

Step-by-step explanation:

The correlation Coefficient gives the degree of relationship between two variables while also giving an hint about the type of relationship between them, (positive or negative). Correlation Coefficient could take any value bwuqwen - 1 and 1. With values closer to - 1 or 1 indicating a strong relationship between the variables, Coefficient of 0 means no relationship and a negative value means negative relationship while a positive value plies a positive relationship.

Answer:

y=5x+14

Step-by-step explanation:

Plug this into the equation y-y1=m(x-x1) where m is the slope. y1 is equal to 4, x1 is equal to -2, and m is equal to 5. This will make the equation y-4=5(x--2). This is equal to y-4=5(x+2). Use the distributive property to get y-4=5(x)+5(2). Simplify to get y-4=5x+10. We want to isolate y so we have to add 4 to both sides. This will be equal to y=5x+10+4. Combine like terms to get y=5x+14. Therefore, the equation is y=5x+14.

If this helps please mark as brainliest

Answer:

There are 36 boys in the class.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of boys

y is the number of girls.

There are 42 pupils in a class.

This means that [tex]x + y = 42[/tex].

Since we want x, we have that [tex]y = 42 - x[/tex]

12 of them are Malays while the rest are Chinese. 1/4 of the boys and 1/2 of the girls are Malay.

This means that:

[tex]\frac{x}{4} + \frac{y}{2} = 12[/tex]

Since [tex]y = 42 - x[/tex]

[tex]\frac{x}{4} + \frac{42 - x}{2} = 12[/tex]

Multiplying everything by 4.

[tex]x + 84 - 2x = 48[/tex]

[tex]-x = -36[/tex]

[tex]x = 36[/tex]

There are 36 boys in the class.

Answer:

ab=ab+a

We need to check the following:

(ab)c=a(bc) or not

LHS

(ab)c=(ab+a)c

=(ab+a)c+(ab+a)

=abc+ac+ab+a

RHS

a(bc)=a(bc+b)

=a(bc+b)+a

=abc+ab+a

as LHS ≠ RHS, the operation is not associative

Step-by-step explanation:

Answer:

You need to show the statements or I can't help.

Answer:

f(-2) =3

Step-by-step explanation:

f(x) = 9+3x

Let x=-2

f(-2) = 9+3(-2)

      = 9-6

      = 3

f ( -2 ) = 9 + 3( - 2 )

f ( -2 ) = 9 - 6

f ( -2 ) = 3

Answer:

This is a case of direct variation. Hence,

210/1=x/2

x=420

since 2 pandas eat it each day hence

420/7

=60

60 pounds is the answer.(sure)

Step-by-step explanation:

Hope it helps you.

Answer: 60 pounds

Step-by-step explanation:

210 pounds a week

Divide by 7 days (a week)

Equals 30 pounds a day/ per panda

There is 2 pandas so 30 pounds times 2 equals 60 pounds

Answer:

Diffrence is the mean of differential

Answer:

1/12

Step-by-step explanation:

3/36=1/12

Answer:

5/6.

Step-by-step explanation:

This is (7/9 + 8/9) / 2

= 15/9 / 2

= 15/9 * 1/2

= 15/18     Now, dividing top and bottom by 3, we get:

5/6.

The required fraction midway between 7 / 9 and 8 / 9 is 5/6.

Given that,
To determine the fraction that lies between the fraction 7/9 and 8/9.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Fraction is defined as the number of compositions that constitute the Whole.

Here,
According to the question,
Fraction midway to the fractions, 7 / 9 and 8 / 9
= [7 / 9 + 8 / 9] / 2
= 15/9/2
= 15 / 9 * 2
= 15 / 18
= 5 / 6

Thus, the required fraction midway between 7 / 9 and 8 / 9 is 5/6.

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Answer:

3

Step-by-step explanation:

1.35n is 4.05

4.05÷1.35 is 3

n is 3

Answer:

3 : 1

Step-by-step explanation:

4.05 : 1.35 can be written as [tex]\frac{4.05}{1.35}[/tex] in fraction.

To write 4.05 : 1.35 in "n : 1" ratio format , you need to make the denominator of the fraction as 1.

[tex]=> \frac{4.05 \div 1.35}{1.35 \div 1.35}[/tex]

[tex]=> \frac{3}{1}[/tex]

[tex]=> \boxed{3 : 1}[/tex]

Additive Inverse of -33

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{➢33}}}}[/tex]

»The opposite of the given integer is called its additive inverse. The sum of a number and its additive inverse is zero. For example, the additive inverse of -4 is 4, so when you add the two integer they sum will be zero.

Answer:

not sure lol but, like it up

Step-by-step explanation:

Answer:

Step-by-step explanation:

common factor of 10 and 20 is 2 and 10 because 2 and 10 are the numbers which didides both the number exactly.

Answer:

yes the answer is 456

Step-by-step explanation:

Answer:

I don’t know if this is correct

Step-by-step explanation:

Answers:

Note: The answer to problem 7 is a single value. The comma is there to make the number more readable.

========================================================

Explanation for problem 7)

There are 26 red cards (13 diamonds + 13 hearts).

We have 26 ways to pick the first red card, and then 25 ways to pick the second red card. If order mattered, then we'd have 26*25 = 650 ways to do this. However, order doesn't matter. All that matters is the hand itself rather than the individual cards. By "hand" I mean the collection of cards, and not the literal physical hand holding them.

Since the count 650 is a double count, this means 650/2 = 325 is the correct count where order doesn't matter. The black cards will follow identical logic to get the same value. There are 325 ways to pick the two black cards. This is because there are an equal number of red and black cards, and we're selecting an equal number of both colors.

So we have 325*325 =  105,625 different hands possible.

To help show some context, there are 52C4 = 270,725 different ways to pick four cards without any restrictions. I'm using the nCr combination formula.

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

Explanation for problem 8)

The face cards are Jack, Queen, King. There are 3 face cards per suit and 4 suits total, so 3*4 = 12 face cards in all.

We have 12*11*10 = 1320 permutations and 1320/(3!) = 1320/6 = 220 combinations. We side with combinations because like before, order doesn't matter. There are 220 different ways to pick the three face cards. Then we have 52-12 = 40 ways to pick the fourth non-face card.

Overall, we have 220*40 = 8800 different ways to pick exactly three face cards.

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

Explanation for problem 9)

There are 13 diamond cards, so n = 13. We're filling r = 4 slots.

Use the nCr combination formula to find that 13C4 = 715

See the attached image below for more detailed steps.

We have 715 ways to pick all diamonds.

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

Explanation for problem 10)

We'll build from problem 9. We found there are 715 ways to pick four diamonds. This is the same number of ways to pick four hearts, or four clubs, or four spades. The actual suit doesn't matter. So we have 4*715 = 2860 different ways to pick 4 cards of the same suit

In poker, having all cards of the same suit is known as a flush. Though with poker, it involves 5 cards instead of 4.

Answer:

19683

Step-by-step explanation:

1. find the ratio

this is geometric so..

54÷18=3

18÷6=3

2. set up the problem

3(3)^9-1

3^8= 6561

6561(3)=19683

The 9th term of a sequence is 39, 366.

In mathematics, a sequence known as a geometric progression (GP) is one in which each following term is generated by multiplying each preceding term by a constant integer, known as a common ratio. This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

We have the series: 6, 18, 54, ...

as, the series in Geometric Progression.

So, the common ratio = 18/6 = 3

and, 54/ 18= 3

Using the formula

[tex]a_n[/tex] = a[tex]r^{n-1[/tex]

So, for n= 9

[tex]a_9[/tex] = a[tex]r^{9-1[/tex]

[tex]a_9[/tex] = a[tex]r^{8[/tex]

[tex]a_9[/tex] = 6 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

[tex]a_9[/tex] = 39,336

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Solution :

It is given that :

Casey boarded a Ferry wheel at position of 3 'o' clock.

The angular speed of the Ferry wheel = 5.6 radians per minute

The radius of the Ferry wheel = 50 feet

The height of the center wheel of the Ferry from the ground = 55 feet

Let the number of minutes be = t

a). The expression of the varying number of radians θ is given by :

After t minutes,  θ = angle swept

                           θ = 5.6 t radians

b). Finding the height from the center of the wheel.

We know that : y = r sin θ

Given r = 50 feet

So, y = 50 sin (5.6 t) feet

Therefore, the height above the ground can be found by :

h = y + 55 (from ground)

h = 50 sin (5.6 t) + 55   feet

Answer:

4/5

Step-by-step explanation:

1/2 ÷6=4/5

Answer:

555

Step-by-step explanation:

Answer:

4 + x = 12

x = 8

Step-by-step explanation:

4 more than a number is 12

4 + x = 12

x = 8

Answer:

48 soldiers leave the place.

Step-by-step explanation:

hope it helps.

Answer:

3/6=4/8

Step-by-step explanation:

2/6=3/8

2*4 6*4=8/24

3*3 8*3=9/24

2/6 does not equal 3/8

3/6=4/8

3*4 6*4= 12/24

4*3 8*3=12/24

3/6=4/8 is true