I would greatly appreciate some help with this problem.​

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:B. 8 dozen

Step-by-step explanation:

Answer:

B 8 Dozen

Step-by-step explanation:

Hope This Helps! :)

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:

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

7+3x

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

5+2 and 2x+x

Answer:

Spelling

Explanation:

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

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:

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:

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:

if I'm not worng it's plane

Answer:

it is -2a+8 your welcome

Answer:

134

Step-by-step explanation:

You must add the angles together:

67+67=134

Answer:

134

Step-by-step explanation:

Answer:

55 Miles total

Step-by-step explanation:

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

Answer:

The rate at which the $1000 is invested is 4%.

Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.

Step-by-step explanation:

Amount invested = $1000

Total interest income over the course of 3 years = $120

Number of years = 3

Annual interest income = Total interest income over the course of 3 years / Number of years = $120 / 3 = $40

The interest ate on the $1000 invested can now be calculated as follows:

Interest rate = (Annual interest income / Amount invested) * 100 = ($40 / $1000) * 100 = 0.04 * 100 = 4%

Therefore, the rate at which the $1000 is invested is 4%.

Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.

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:

12.60.

Step-by-step explanation:

12.00 × 5%=.6

,6 + 12.00= 12.60

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:

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:

74 degrees 79 degrees

Step-by-step explanation:

or 6

Answer:

74 and 79 degrees

Step-by-step explanation:

i just did it

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:

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:

Subsitution

Step-by-step explanation:

We have the equations:

x=2y-1

3x+y=11

The 3 methods of solving systems of equations are:

graphing

substitution

addition/elimination

Graphing involves graphing the two equations and finding their point of intersection, which is the answer

Substitution involves isolating one of the variables in one of the equations, then substituting the resulting expression into the other equation to find both numbers

Addition/Elimination involves adding the two equations together to clear a variable, solving for the other variable, and substituting the answer to the first variable in one of the equations to find the value of the cleared variable from before

Since we have x already isolated onto one side in the first expression, we can easily substitute it as 2y-1 in the second equation.

Therefore, substitution is the best method to solve this graph.

hope this helps!

Answer:

hi

Step-by-step explanation:

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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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.