what is the prime factorization for 42

From your previous questions, you know

(3w + w⁴)' = 3 + 4w³

(2w² + 1)' = 4w

So by the quotient rule,

R'(w) = [ (2w² + 1)•(3w + w⁴)' - (3w + w⁴)•(2w² + 1)' ] / (2w² + 1)²

That is, the quotient rule gives

R'(w) = [ (denominator)•(derivative of numerator) - (numerator)•(derivative of denominator) ] / (denominator)²

I'm not entirely sure what is meant by "unsimplified". Technically, you could stop here. But since you already know the component derivatives, might as well put them to use:

R'(w) = [ (2w² + 1)•(3 + 4w³) - (3w + w⁴)•(4w) ] / (2w² + 1)²

He needs to play 23 more times. 785 / 35 = 23

He will have extra points but it will be enough to get the prize.

Answer:

The answer is 7x-25

Step-by-step explanation:

(3x+5)+(4x-30)

=3x+4x+5-30

=7x-25

Answer:

(3x+4x) + (5-30)

Step-by-step explanation:

For this problem which is all addition and subtraction it is simply having you combine like terms or rather terms with same variables (3x and 4x).  You just need to be careful with the signs when you rewrite the problem so when you solve you get the correct answer.  Example if you were to solve this one you would combine your numbers with variable of x  and then the numbers without the variable:

(3x+4x) +(5-30)

7x + -25 or 7x-25

Answer:

(0,5)

Step-by-step explanation:

Hope this helped, Have a Great Day!!

Answer:

.00059 or .0006

Step-by-step explanation:

You are trying to find what won't be in the water because there are many combinations so you use a complement formula.

1-0.79=0.29

Use the left over percentage in an equation to determine the probability.

[tex]1-(0.29)^6=0.000594823[/tex]

The exponent 6 comes from the number of locations.

Answer:

.8719

Step-by-step explanation:

This is an educated guess feel free to give a negative review if I'm wrong

The remainder theorem says that a polynomial f(x) has a remainder of f(c) upon getting divided by x - c. So if

f(x) = x⁴ + p x³ + q x² + r x + 6

is divisible by x - 1, x - 2, and x - 3, then we have

f (1) = 7 + p + q + r = 0

f (2) = 22 + 8p + 4q + 2r = 0

f (3) = 87 + 27p + 9q + 3r = 0

Solve the system for p, q, r. You can eliminate r by substituting the first equation into the other two:

p + q + r = -7

8p + 4q + 2r = -22   →   6p + 2q - 14 = -22   →   3p + q = -4

27p + 9q + 3r = -87   →   24p + 6q - 21 = -87   →   4p + q = -11

Eliminate q by adding (-1) times the first equation to the second one, then solve for p :

- (3p + q) + (4p + q) = - (-4) + (-11)

-3p - q + 4p + q = 4 - 11

p = -7

Solve for q :

3p + q = -4   →   3 (-7) + q = -4   →   q = 17

Solve for r :

p + q + r = -7   →   -7 + 17 + r = -7   →   r = -17

Answer:

D. 38.3 cm

Step-by-step explanation:

Just took test on a p e x

Answer: 38.3

Step-by-step explanation:

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

[tex]SI= PRT/100[/tex]

substitute

[tex]8160 = 34000*4.8*T/100[/tex]

cross multiply we have

[tex]8160*100= 34000*4.8*T\\\\816000= 163200T\\\\[/tex]

divide both sides by 163200

[tex]816000/163200= T\\\\T= 5 years[/tex]

Answer:

x > 1 The open cicle dot should be on 1 and should go beyond 1. So 1,2,3,4...etc

Step-by-step explanation:

Answer:

The tax rate is 9 dollars and 45 cents.

Step-by-step explanation:

Answer:

Answer:

Haley needs to print 65% of the tickets.

Step-by-step explanation:

Given that:

Tickets printed by Haley = 112

Tickets needed to print = 320

Tickets left to print = 320-112 = 208

Percent of tickets left to print =  

Percent of tickets left to print =  

Percent of tickets left to print = 0.65*100

Percent of tickets left to print = 65%

Hence,

Haley needs to print 65% of the tickets.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Haley needs to print:

320-112=208 tickets

1% of 320 is equal to 320/100=3.2

208/3.2=65

She needs to print 65% more tickets

Answer:

evaluate C2 + 4a - b

-2 +4(-5)-3

4=-2-5-3

4=4

=4-4

=0

Answer:

The last one: Decreasing then increasing

Step-by-step explanation:

Answer:

d?

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3p - 1 = 5(p-1) -2(7-2p)

(simplify)

3p -1 = 5p-5-14+4p

3p-1 = 9p-19

(make p the subject)

3p-9p = -19+1

-6p = -18

p = -18/-6

p = 3

es 6

Step-by-step explanation:

3p-1=  5p-5-14mas4p

3p-4p-5p= -5-14mas1

3p-4p-5p= -18

3p-9p=-18

_3p=-18

p=-18:-3

p=6

Answer:

x=2

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

AC=2DE

48-4x=2(64-7x)=128-14x

14x-4x=128-48

10x=80

x=80/10=8

DE=64-7x=64-7*8=64-56=8

Answer:

answer: y= 1^2+ -8 I think I did this right.

Answer:

y=-1/2x-8

Step-by-step explanation:

Answer:

i think 0,1

Step-by-step explanation:

bc iit goes like that lol

Answer:

6-1

Step-by-step explanation:

Answer:

$128366.39

Step-by-step explanation:

We will use the Simplified Compound Interest Equation:

P = C(1 + r)^t

P = 45000(1+0.14)^8

P = 45000(1.14)^8

P = 128366.389

So about $128366.39

Answer:

simple

Step-by-step explanation:

45000×14×8/100

5040000/100

=50400

Answer:

Answer:

are there any more details? cant solve anything from what you have provided

Step-by-step explanation:

Answer:

well for me I think it's

Step-by-step explanation:

15

5×3 each

Answer:

15 blankets

Step-by-step explanation:

Debora plans to sew 3 blankets for each of her nieces. If she has 5 nieces, that means she will sew 3 blankets for each of them.

Number of blankets Debora sews = 3 blankets × 5 nieces

= 15 blankets

Therefore, Debora will sew 15 blankets in total.

I hope this helps!

Answer:

c

Step-by-step explanation:

20 to 16 is 20% trust me lol

Answer:

The answer is B

Step-by-step explanation:

Answer:

15.87% portion of oak trees in this forest have a circumference greater than 21 inches

Step-by-step explanation:

Given that

Mean = μ = 19.7 inches

SD = σ = 1.3 inches

We have to find the probability of circumference greater than 21 inches

Let x = 21 inches

First of all we have to find the z-score of the value

z-score is given by the formula

[tex]z = \frac{x-mean}{SD}[/tex]

Putting the values

[tex]z = \frac{21-19.7}{1.3}\\z = \frac{1.3}{1.3}\\z = 1[/tex]

We will use the z-score table to find the probability of x<21

P(z<1)  = 0.8413

The value gives us the area under the curve up till that value

To find the greater than probability, we have to subtract less than probability from 1.

P(z>1) = 1 - P(z<1) = 1 - 0.8413 = 0.1587 => 15.87%

Hence,

15.87% portion of oak trees in this forest have a circumference greater than 21 inches

Consequently, the graph is correct; and the x values for the solutions are x = -2 and x = 0.

The solution to f(x) = g(x) is the value(s) of x that satisfy the equation. In other words, it is the value(s) of x that make f(x) equal to g(x).

The only problem here is determining which graph is correct:

f(x) is the same on both graphs;

g(x) = 2 |x + 2| is the absolute value graph of lxl stretched vertically two units to the left;

the "vertex" of lxl is (0, 0);

consequently, the first graph is correct; and the x values for the solutions are x = -2 and x = 0.

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Answer:

D.

Step-by-step equation:

I don't know but i think this is the answer.

The roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.

A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.

For the given situation,

The equation is 9x^2 + 3x – 4 = 0

The roots of the equation can be found by the formula,

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

here, a = 9, b = 3 and c = -4

Substitute the above values,

⇒ [tex]x=\frac{-3+\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex] or  [tex]x=\frac{-3-\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex]

⇒ [tex]x=\frac{-3+\sqrt{9+144 } }{18}[/tex]          or  [tex]x=\frac{-3-\sqrt{9+144 } }{18}[/tex]

⇒ [tex]x=\frac{-3+\sqrt{153 } }{18}[/tex]             or  [tex]x=\frac{-3-\sqrt{153 } }{18}[/tex]

⇒ [tex]x=\frac{-3+12.36 }{18}[/tex]             or  [tex]x=\frac{-3-12.36 }{18}[/tex]

⇒ [tex]x=\frac{9.37}{18}[/tex]                    or  [tex]x=\frac{-15.37}{18}[/tex]

⇒ [tex]x=0.5205[/tex]                or  [tex]x=-0.8538[/tex]

Hence we can conclude that the roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.

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Answer:

r=100.1x

Step-by-step explanation:

Answer:

55      91

 —— • (x^——)

 10      5

Step-by-step explanation:

Answer:

The answer is 8³

Step-by-step explanation:

I think the letter f represents a hidden potential cubic number

Hey,

The answer is 55

I wrote the solution, you can look.

Good luck :)