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Answer:

x is 10.

Step-by-step explanation:

3x + 12 = 42

Subtract 12 from both sides

3x = 42 - 12

Subtract 12 from 42 to get 30

3x = 30

Divide both sides by 3

x = 30/3

Divide 30 by 3 to get 10

x = 10

Answer:

-2x-10y-8

Step-by-step explanation:

Rearange terms

-2(x+4+5y)

-2(x+5y+4)

Distribute

Answer:

[tex]\displaystyle f'(4) = 63[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Calculus

Derivatives

The definition of a derivative is the slope of the tangent line.

Limit Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]  

Step-by-step explanation:

Step 1: Define

f(x) = 7x² + 7x + 3

Slope of tangent line at x = 4

Step 2: Differentiate

Step 3: Find Slope

This means that the slope of the tangent line at x = 4 is equal to 63.

Hope this helps!

Topic: Calculus AB/1

Unit: Chapter 2 - Definition of a Derivative

(College Calculus 10e)

Answer:

1.its B

2.G

Step-by-step explanation:

Answer:

b, c, and d are solutions

Step-by-step explanation:

3x - 2 < 2 - 2x

5x - 2 < 2

5x < 4

x < 4/5

b) 1/2 < 4/5  true

c) -3 < 4/5  true

d) 2/3 < 4/5  true

Answer:

I'd say it's the first dot in from the left (close to 2.4)

Step-by-step explanation:

the square root of 6 is 2.4494, and that's very close to 2.4

Complete Question:

A boxer punches a sheet of paper in midair and brings it from rest up to a speed of 20m/s in 0.044 Seconds.

a. what acceleration is imparted to the paper?

b. if the mass of the paper is 0.003 kg, what force does the boxer exert on it?

c. how much force does the paper exert on the boxer?

Answer:

a. Acceleration = 454.55m/s².

b. Force = 1.36N

c. Force = -1.36N

Step-by-step explanation:

Given the following data;

Final velocity = 20m/s

Time = 0.044 seconds.

Since the paper is at rest, we know that it's initial velocity is equal to 0m/s.

a. To find acceleration;

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

Substituting into the equation, we have;

[tex]a = \frac{20 - 0}{0.044}[/tex]

[tex]a = \frac{20}{0.044}[/tex]

Acceleration = 454.55m/s²

b. To find the force exerted by the boxer;

Mass = 0.003kg

Force = mass * acceleration

Force = 0.003 * 454.55

Force = 1.36N

c. To find the force exerted by the paper;

According to Newton's third law of motion which states that, for every action there is an equal and opposite reaction. Therefore, the paper exerts an equal but opposite force on the boxer.

Force = -1.36N

Answer:360

Step-by-step explanation:g-g5

The rate of interest will be 0.35.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]

and, the Amount is given by

[tex]A = P(1+\frac{r}{n} )^{nt}[/tex]

Where,

A is amount

P is principal

r is rate of interest

n is number of times interest is compounded per year

t is time

According to the given question

Principal, P = $210

Amount, A = $250

Time, t = 5 years

n = 1

Therefore, the interest rate is given by

Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]

⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]

⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]

⇒[tex]1.19 = (1+r)^{5}[/tex]

⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]

⇒ 1.035 = 1 + r

⇒ r = 1.035 - 1

⇒ r = 0.35

Hence, the interest rate is o.35.

Learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ2

Answer:

i dont know but i have a pic for u

Step-by-step explanation:

Answer:

1/10 i guess

Step-by-step explanation:

2/5=0.4

0.4/4=0.1

0.1=1/10 (one tenth_

Answer:

1/10

Step-by-step explanation:

2/5 ÷4 is the same as 2/20, which is 1/10

Answers and Step-by-step explanations:

9:  (4/6) (-5/8)  

This is just multiplication of fractions, so all you need to do is multiply both numerators by eachother and both denominators by eachother.  Assuming that only the 5 is negative, (this is just an assumption since it's not clear which one is, or you can do the 8,)  You get -20/48, since 4 x (-5) = -20, and 6 x 8 = 48.  Simplify and you get -5/12.  

10:  (3/4) (-1/5)  

Multiply the numerators, (3 and -1), and the denominators, (4 and 5,) to get -3/20.  This is the lowest it can be simplified to, so therefore your answer is -3/20.  

11.  (-1/8) (-6/7)  

Multiply -1 and -6 to get 6, (since two negatives make a positive.)  Multiply the denominators, (8 and 7,) to get 56.  This maks 6/56, which simplifies to 3/28.  

12.  (-4/9) (1/5)  

Multiply the numerators, (-4 and 1,) to get -4.  Multiply the denominators (9 and 5,) to get 45.  Your answer is -4/45.    

I'm really sorry if I'm wrong for anything, hope this helps!  :)

Answer:

hjgfghjk

Step-by-step explanation:

:)

Answer:

2nd option is the answer

Step-by-step explanation:

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

(14 + 4)c, or 18c

Step-by-step explanation:

Answer:

25/6

Step-by-step explanation:

Answer:

3 spoons and 6 forks

Step-by-step explanation:

9 = x + y; x= 9-y

44 = 4x + 6y

44 = 4(9-y) + 6y

44 = 36 - 4y +6y

44 = 36 +2y

2y = 44-36 = 12

y = 12/2 =6

x= 9-y = 9-6 =3

Answer: area mean multiply

Step-by-step explanation:

Answer:

76 feet (Just put 76 in the answer box)

Step-by-step explanation:

Knowing the perimeter of a rectangle is 2l + 2w, multiply 2 by 3.5. Then multiply 2 by 4.5, and add them together.

2(3.5) + 2(4.5)

The two products would be 7 and 9 respectively.

7 + 9 = 16 feet of fencing for 1 rabbit pen.

We have 2 pens, so multiply 16 by 2.

The rabbit pens need 32 feet of fencing.

(Alternatively you could have done 2(2(3.5 + 4.5)).

2(2(8))

2(16)

32 ft of fencing (rabbit pens))

Now, add 12 and 10. Then multiply that by 2.

2(12 + 10)

2(22)

The garden needs 44 feet of fencing.

Now add 32 and 44 to get the total amount of fencing needed.

32 + 44

The rabbit pens and the garden need 76 feet of fencing. (Just put 76 in the answer box as the unit (feet) is already given.)

Answer:

Step-by-step explanation:

Given that: x  

2

+6x+8

                 =x  

2

+4x+2x+8,        (split middle term)

                 =(x  

2

+4x)+(2x+8),    (group pair of terms)  

                 =x(x+4)+2(x+4),         (factor each binomials)

                 =(x+4)(x+2),              (factor out common factor (x+4)

Hence factors of x  

2

+6x+8 are (x+4)(x+2)

Answer:

its almost correct but its just a little bit off

Step-by-step explanation:

1. on the left its on the two bring it closer to the 4 than the 2 so its gonna be right before the four ill insert a picture so u can see as well.

2. on the left side its going to be right before -2.

3. on the bottom its going to be moved down to -18 and a little bit out going to the right.

the picture is right there hope it helped

Answer:

a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip

Step-by-step explanation:

Answer:

-70

Step-by-step explanation:

If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.

Answer: Yes

Step-by-step explanation:

15/60 divided both by 15:

15/15=1 and 60/15=4

Answer:

yes

Step-by-step explanation:

15/60 divided by 15/15 = 1/4, or you could day that 15/60 simplified = 1/4, making the answer yes

Answer:

0.004

Step-by-step explanation:

Just mutiply and divide by 2

Răspuns:

292,50

Explicație pas cu pas:

Dobânda totală% = (1% + 16%) = 17% = 17/100 = 0,17

Suma principală depusă, P = 250

Suma totală, A după 1 an poate fi calculată astfel:

A = P (1 + rt)

Unde ; r = rata dobânzii; t = timp

A = 250 (1 + (0,17 * 1))

A = 250 (1,17)

A = 292,5

Answer:

subtract to find A

Step-by-step explanation:

Answer:

14x-4

Step-by-step explanation:

2(3x-2)+2(2x-4x+8)

6x-4+4x-8x+16x

14x-4

Answer: xy and 3(b - 1 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

this expression is xy and 3(b-1)