Simplify y ^2 over 6y^5.

Answer:

$12.49

Step-by-step explanation:

cost of two purses = $57.97 - cost of dress = $57.97 - $32.99 = $24.98

cost of one purse = $24.98 ÷ 2 = $12.49

Answer:

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.

[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].

If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:

[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]

[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]

[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]

[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]

[tex]c \approx 3.195[/tex]

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Answer:

C. 1/2(e^2-1)

Step-by-step explanation:

Edge AP Cal 2022

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

Answer:

No

Step-by-step explanation:

If:

a=15

b=20 then

c (hypotenuse)=25

Answer:

No

Step-by-step explanation:

A right angle is always 90°

u add up all the sides, if it doesn't equal 90 then it's not a right triangle.

so 15 + 20 + 24 = 59 so this is not a right triangle.  

Answer:

This spyware is detected 66% of the time.

Step-by-step explanation:

We have these following percentages:

70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.

30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.

What percentage of times is this spyware detected

Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So

[tex]0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66[/tex]

This spyware is detected 66% of the time.

Answer:

8y + 7

Step-by-step explanation:

add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7

Answer:

83  and 91

Step-by-step explanation:  10 rows of 8.

8x10 =80

80+3=83

Next option 11 rows of 8

8x11=88

88+3=91

Answer:

is 40.9

Step-by-step explanation:

The percent of change in the value of the car is 40.88%

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, Manny bought a car for $32,985. Five years later, the car was worth $19,500.

Percentage change = (32985-19500)/32985*100 = 40.88%

Hence, The percent of change in the value of the car is 40.88%

For more references on percentage, click;

https://brainly.com/question/29306119

#SPJ2

Answer:

A rational number is any number that can be expressed as a ratio of two integers (hence the name "rational"). ... For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi (π) is irrational since it cannot be written as a fraction

Step-by-step explanation:

91, 49, 48, 8 are rational number

Answer:

The inequality f ≥ 4n +2 is true for all values of 'f'

Step-by-step explanation:

Explanation:-

Let 'f'  represents any number

The set of even integers greater than '4'

f = { 6, 8, 10,12, 14 ,.............}

we have to write the inequality equation

f ≥ 4n +2

Final answer:-

The inequality f ≥ 4n +2 is true for all values of 'f'

Answer:

The first one (Cedric is correct because he used the inverse of subtraction and added 4.5)

Step-by-step explanation:

First....I'll do it my way

z - 4.5 = -1.5

Add 4.5 on both sides

z - 4.5 + 4.5 = -1.5 + 4.5

z = 3

This should be our answer.....and so who did it right?

Cedric did

Which is the true statement?

Cedric is correct because he used the inverse of subtraction and added 4.5

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer: 5/28 left to mow

Step-by-step explanation:

How much is left means we have to subtract the fractions.  The easiest to do is subtract using the larger fraction first which is 3/7.

3/7 - 1/4

Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator.  In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28.  28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:

3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4.  Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28.  For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7.  Now multiply 7 by the numerator 1 which =7.  Now you have 7/28. Now you can subtract and solve for your answer:

3/7 -1/4 converted to:

12/28 - 7/28  subtract numerators 12-7 and keep the same denominator

Ans: 5/28 left to mow

Answer:

Step-by-step explanation:

given function:

[tex] \quad \rm\: f(x) = - 2x +8[/tex]

when x is 0

[tex] \sf \:f(0) = - 2.0 + 8[/tex]

simplify multiplication:

[tex] \sf f(0) = 8[/tex]

when x is 3

[tex] \sf f(3) = - 2.3 + 8[/tex]

simplify multiplication:

[tex] \rm \: f(3) = - 8 + 8[/tex]

add:

[tex] \rm \: f(3) = 0[/tex]

when x is 6

[tex] \quad \rm\: f(6) = - 2.6 +8[/tex]

simplify multiplication:

[tex] \quad \rm\: f(6) = - 12 +8[/tex]

simplify addition:

[tex] \quad \rm\: f(6) = -4[/tex]

when x is 9:

[tex] \quad \rm\: f(9) = - 2.9 +8[/tex]

simplify multiplication:

[tex] \quad \rm\: f(9) = - 18 + 8[/tex]

simplify addition:

[tex] \quad \rm\: f(9) = - 10[/tex]

Answer:

when x =0

f(x)=-2×0+8=8

when x =3

f(x)=-2×3+8=2

when x =6

f(x)=-2×6+8=-4

when x =9

f(x)=-2×9+8=-10

Answer: 3 cents

Step-by-step explanation: multiply the price per pound by the amount of pounds purchased for both items and add them together. Then take the amount paid and subtract the total from what was paid to get the change.

Answer:

Step-by-step explanation:

You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.

find the height of the cylinder whose volume is 1.54 cubic m and radius of the base is 70 cm

Required diagram :

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{ 70 \: cm}}\put(9,17.5){\sf{h}}\end{picture}[/tex]

For a cylinder having a radius r and a height h ;

Volume Of Cylinder :

Here , the radius of the cylinder is given as 70 cm and the volume is 1.54 m³ .

Converting ;

The height of the cylinder is 100cm.=1m.

Answer:

it is 679

Step-by-step explanation:

Answer:

area of rectangle =length ×width

area of rectangle=12yd×15yd

area of rectangle=180yd²

Answer: I believe it's b

Step-by-step explanation:

\pi = 3.14159265...

It is most likely b

The correct answer is,

[tex] \frac{1}{64} [/tex]

Answer:

1/64

Step-by-step explanation:

when exponents are separated by parentheses, multiply them

so (2³)^-2 = 2^-6

whenever an exponent is negative, change into fraction form with one as the numerator and the other term goes into the denominator and the exponent now becomes positive

2^-6 = [tex]\frac{1}{2^6}[/tex] = [tex]\frac{1}{64}[/tex]

Answer:

12.7=x

Step-by-step explanation:

y=mx+b

10=.65x+1.75

-1.75       -1.75

8.25=.65x

.65     .65

12.69=x round up

12.7=x

Answer:

Step-by-step explanation:

Area:=45

Answer:

24

Step-by-step explanation:

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

[tex]\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x[/tex]

Calculating the value of [tex](\frac{g}{f})(2)[/tex]:

[tex]\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)[/tex]

               [tex]=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\[/tex]

x=[tex]- \frac{\sqrt{3}}{2}[/tex] and x=[tex]\frac{\sqrt{3}}{2}[/tex] are not in the domain.

Domain: [tex]x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)[/tex]

Just see what even number 52 can go into