What is the value of x?

Answer:

Step-by-step explanation:

Function rule:

y = 10(0.95)ˣ

If a function is given as,

y = a(b)ˣ

a represents 'Initial value'

b represents the growth factor

If 0 < b < 1, function is a decay function.

If b > 1, function is a growth function.

For 2 = 10(0.95)ˣ,

Here, b = 0.95 which is in the interval of 0 < 0.95 < 1

So it's a decay function.

[tex]\frac{2}{10}=(0.95)^x[/tex]

log(0.2) = log[(0.95)ˣ]

log(0.2) = x[log(0.95)]

-0.6989 = -x(0.0223)

x = 31.44

x ≈ 31

Meaning → For 'x' = 31, value of the function is 2.

For 8 = 10(0.95)ˣ,

0.8 = (0.95)ˣ

log(0.8) = log(0.95ˣ)

log(0.8) = xlog(0.95)

x = 4.35 ≈ 4.4

Means, at x = 4.4, value of the function was 8.

Answer:

134

Step-by-step explanation:

You must add the angles together:

67+67=134

Answer:

134

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Opposite sides of a parallelogram have the same length, so ...

  5b +5c = 60

  5b +4c = 55

Subtracting the second equation from the first, we get ...

  c = 5

Substituting that into the first equation, we have ...

  5b +5·5 = 60

  5b = 35 . . . . . . . subtract 25

  b = 7 . . . . . . . . . . divide by 5

The values b = 7 and c = 5 will make this a parallelogram.

Answer:

612

Step-by-step explanation:

To find this answer, you can invert the equation:

452.88 = 0.74x

x = 452.88 / 0.74

x = 612

The number 452.88 is 74% percentage of the number 612.

percentage, a relative value indicating hundredth parts of any quantity.

We have to find the number of 452.88 is 74%

Let x be the number

74/100×x=452.88

74x/100 = 452.88

Multiply both sides by 100

74x=45288

Divide both sides by 74

x=45288/74

x=612

Hence, 452.88 is 74% of the number 612.

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Answer:

Step-by-step explanation:

a) 7/5, 3/10, -13/4,-27/1,0

b)36/1,-45/1,21/5, -4/5, 91/6,-2/9

Answer: 9 = 6t

how many t's are there in the model? there are 6 ts. 6t makes 9, so 9 is equal to 6t.

ps. the equation could also be 6t = 9 but its basically the same thing (:

Answer:

if I'm not worng it's plane

Answer:

I believe it should be 216.54

Step-by-step explanation:

Multiply $200.5 by .08 (the tax) and then add the answer from the multiplication to the $200.5.

A percentage is a way to describe a part of a whole. The cost of a bicycle with tax included is $216.54.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given Megan bought a bicycle that cost $200.50 at a sporting goods store. The sales tax on the bicycle was 8%. Therefore, the total cost will be,

Total cost = $200.50 + 8%

                = $200.50 + (0.08 × $200.50)

                = $216.54

Hence, the cost of a bicycle with tax included is $216.54.

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7+3x

I'm not sure but I just added like terms so

5+2 and 2x+x

Answer:

4x-1

Step-by-step explanation:

The working is shown in the above photo

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim ( h tends to zero ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{2(x+h)^2-(x+h)-(2x^2-x)}{h}[/tex]

     = lim ( h to zero ) [tex]\frac{2(x^2+2hx+2h^2)-x-h-2x^2+x}{h}[/tex]

     = lim ( h to zero ) [tex]\frac{2x^2+4hx+2h^2-h-2x^2}{h}[/tex]

     = ( lim h to 0 ) [tex]\frac{4hx+2h^2-h}{h}[/tex]

     = ( lim h to 0 ) [tex]\frac{2h(2x+h)-h}{h}[/tex]

     = lim ( h to 0 ) [tex]\frac{2h(2x+h)}{h}[/tex] - [tex]\frac{h}{h}[/tex] ← cancel h on numerator/ denominator of both

     = lim( h to 0 ) 2(2x + h) - 1 ← let h go to zero

f'(x) = 4x - 1

Answer:

y^12/216x^6

Step-by-step explanation:

First Im distrubiting the powers.

((6^-3)[(x^2)^-3][(y^-4)^-3])

(216^-1)(x^-6)(y^12)

Move the negative exponents

y^12/216x^6

Answer:

74 degrees 79 degrees

Step-by-step explanation:

or 6

Answer:

74 and 79 degrees

Step-by-step explanation:

i just did it

Answer:

it is -2a+8 your welcome

Answer:

55 Miles total

Step-by-step explanation:

Answer:

The directrix is negative so the equation will be

x^2=4ay

x=-3

y=-5

a=x^2/4y

a=(-3)^2 /4*(-5)

a=9/20

x^2=4*(9/20)*y

x^2=9/5y

Step-by-step explanation:

The directrix always determine the equation to use. It is also important to notice the sign(-+).

Answer:B. 8 dozen

Step-by-step explanation:

Answer:

B 8 Dozen

Step-by-step explanation:

Hope This Helps! :)

Answer:

Spelling

Explanation:

Not gonna bother explaining the joke, I'm not that boring.

Answer:

9 minutes

Step-by-step explanation:

Rate of George's blinking:

85 / 15 = 17 blinks in 3 minutes

so after 51 blinks, 51 / 17 = 3, 3 x 3 = 9 minutes

Answer:

12.60.

Step-by-step explanation:

12.00 × 5%=.6

,6 + 12.00= 12.60

Answer:

I think the percent of change would be 850000%,

Step-by-step explanation:

You would do 111,000 - 102,500 to find the amount of leftover money. This equals 8,500, which would be 850000% in percentages.

Answer:

D

Step-by-step explanation:

Where f(0) is or x=0, y= 4

Answer:

4

Step-by-step explanation:

( d ). 4. is correct

we have. to see x (0) n on the 0 we have. to find the no: of y that cross the on it

Answer:

n=−2.5

improper fraction: 5/2

Step-by-step explanation:

Step 1: Flip the equation.

2n=0.176777

Step 2: Solve Exponent.

2n=0.176777

log(2n)=log(0.176777)(Take log of both sides)

n*(log(2))=log(0.176777)

n=

log(0.176777)

log(2)

n=−2.5

then just make it an improper fraction = 5/2

or a mixed number = 2 1/2

Answer:

y+5=c

6y=g

Step-by-step explanation:

C for cousin

G for grandma

Answer:

why

Step-by-step explanation:

Answer:

The equation of the parabola

( y +2 )² = 16 (x-2)

Step-by-step explanation:

Step(i):-

Given the focus of the Parabola ( 6, -2 )

we know that the Focus of the Parabola

                ( h + a , k ) = ( 6 , -2 )

Comparing

              h + a = 6 ...(i)

          and  k = -2

Given directrix of the parabola

           x = -2

The  directrix of the parabola  x = h - a = -2

        h - a = -2 ...(ii)

Adding (i) and (ii) equations , we get

    h + a + h-a = 6 -2

                2 h = 4

           ⇒    h  = 2

Substitute 'h' = 2 in equation (i) , we get

          h + a = 6

          2 + a = 6

                a = 6 -2 =4

Step(ii):-

The equation of the parabola having Vertex ( h,k) = (2 , -2) and a = 4

[tex](y-k)^{2} = 4a ( x-h)[/tex]

( y - (-2))² = 4 (4) ( x -2)

Final answer:-

The equation of the parabola

[tex](y-(-2))^{2} = 4(4) ( x-2)[/tex]

( y +2 )² = 16 (x-2)

Answer:

C.

Step-by-step explanation:

12x+3 add them together

Answer:

B. 36

Step-by-step explanation:

The equation in question is not well written. Let the equation be;

x²+12x+5 = 0

In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;

Coefficient of x = 12

Half of 12 = 1/2(12) = 6

Square of 6 = 6² = 36

Hence the required number to add to both sides of the equation by completing the square method is 36