Suppose the function:

f(x) = 2.9646 (1.0170)x

models the world population x years after 1948.

Rewrite the exponential equation given above using base e.

f(t) = 2.9646 e ^(0.0169) t


B.
f(t) = 2.9646 (1.0170) e^t


C.
f(t) = 2.9646 + 1.0170e^t


D.
f(t) = 2.9646 e^(1.0170t)


E.
f(t) = 2.9646 e^ln (1.0170t)

Answer:

I think its 7330

Answer:

113.1

Step-by-step explanation:

i just did the math

Answer:

113.1 is the answer

I just multiplied

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{y_{2} - y_{1}}{x_{2}- x_{1} } = \frac{2-0}{3-0} = \frac{2}{3}[/tex]

Answer:2/3

Step-by-step explanation:

khan

Answer:B

Step-by-step explanation:

Answer:

D: all real numbers,  R: y ≤ -4

Step-by-step explanation:

R: y ≤ -4

Because the line doesn't go beyond -4.  

Answer:

4 / ($3.28)   is the correct answer

Step-by-step explanation:

As cost of  one box is  $3.28

the cost of four boxes will be  4 divided by the cost of one box....so that why the  4/($3.28) is correct option

Answer:

11.6 mi

Step-by-step explanation:

9.3^2+6.9^2 = 134.1

sqrt134.1 = approx 11.6

Answer:

c= 11.6 mi

Step-by-step explanation:

c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi

Answer:

y-int.=6; vertex equation: y= (x - 2)² + 10; vertex: (2, 10); axis of symmetry: x = 2

Step-by-step explanation:

The c value can be used as the y-int.: y=6

vertex form: a(x-h)²+ k

vertex form of this equation:

use completing the square method

y=x²+4x+6

take b, it, divide it in half, then square it (b/2)². b/2 is your h value. Add (b/2)² to c to get your k value

y= x²+4x + 2² + 6

y= (x - 2)² + 4 + 6

vertex equation:

y= (x - 2)² + 10

vertex: (2, 10)

axis of symmetry:

use the h value: x = 2

Answer:

y + 8 = -2(x - 4)     which matches Answer D

Step-by-step explanation:

The point-slope equation is y - k = m(x - h).  Assuming that the slope is -2 (all of the answer choices involve m = -2), and knowing that the line passes through (4, -8), we have:

y + 8 = -2(x - 4)     which matches Answer D

Step-by-step explanation:

its A

6x^2+18x

I hope this helps have a great day

Answer:

It would be 1 since x is directly = to y

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

12

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-5}{-1}[/tex] = 5 , then

[tex]a_{n}[/tex] = - [tex]5^{n-1}[/tex]

13

Using the explicit formula for a geometric sequence

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 48 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{96}{-48}[/tex] = - 2 , then

a₁₀ = - 48 × [tex](-2)^{9}[/tex] = - 48 × - 512 = 24576

Answer:

Base = 81 Exponent = 3 raised to the power of 4 Repeated multiple = 3 x 3 x 3 x 3

The value = 81

Step-by-step explanation:

My bad if im wrong on any of em

Answer:

1.    3

2.   4

3.    3x27=81

4.    81

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

58×20=1160

0+160+1000=1160

Answer: 555 minutes

Step-by-step explanation: 60 minutes in an hour, so 9*60 is 540. 1/4 of an hour is 15 minutes (15*4=60) so 540+15=555 minutes

Answer:

Step-by-step explanation:

9.25 * 60 (because there is 60 minutes in one hour)

=555 minutes

Answer:

Option c

Step-by-step explanation:

A system of equations are given to us. And we need to solve them . The given system is

[tex]\begin{cases} y = 2x - 3\dots 1 \\ y = x^2 - 3\dots 2 \end{cases}[/tex]

We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .

[tex]\implies y = x^2 - 3 \\\\\implies 2x - 3 = x^2 - 3 \\\\\implies x^2 - 2x = 0 \\\\\implies x(x-2) = 0 \\\\\implies\red{ x = 0 , 2 } [/tex]

We got two values of x as 0 & 2 . Alternatively substituting these values we have ,

[tex]\implies y = 2 x - 3 \\\\\implies y = 2(0)-3 \qquad or \qquad y = 2(2)-3 \\\\\implies y = 0-3 \qquad or \qquad 4 - 3 \\\\\implies \red{ y = -3 , 1 } [/tex]

Thefore the required answer is ,

[tex]\red{Option\:c} \begin{cases} (0,-3) \\ (2,1) \end{cases}[/tex]

Answer:

C

Step-by-step explanation:

Given the 2 equations

y = 2x - 3 → (1)

y = x² - 3 → (2)

Substitute y = x² - 3 into (1)

x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

x² - 2x = 0 ← factor out x from each term

x(x - 2) = 0

Equate each factor to zero and solve for x

x = 0

x - 2 = 0 ⇒ x = 2

Substitute these values into (1) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )

Answer:

$8036.784

Step-by-step explanation:

It is easy

The area of carpet is 13.4×24=321.6sq meter

Now, for 1 sq. meter the cost is $24.99

So for 321.6sq.meters, 321.6×24.99

=$8036.784

It will cost amount of $8036.784 to carpet a rectangular room.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

To carpet a rectangular room that measures 13.4 meters by 24 meters, it would area:

13.4 x 24 = 321.6 square meters

Since one square meter, the cost is $24.99

So for 321.6 square meters, 321.6×24.99

= $8036.784

Thus, it will cost amount of $8036.784 to carpet a rectangular room.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

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The answer should be in the form of a(x-h)2 + k.

explanation:

Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.

f(x) = x2 is given.

g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).

How do we write this?

g(x) = f(x-h) where h = -3.

So this is g(x) = f(x - (-3)) = f(x+3)

g(x) = (x+3)2

Hope it helps!

The value of function g (x) will be;

⇒ g (x) = (x- 0)² + 3

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The function g(x) is the translation 3 units up of f(x) = x².

Now,

Since, The function is,

⇒ f (x) = x²

And, The function g(x) is the translation 3 units up of f(x) = x².

So, The function g (x) is defined as;

⇒ g (x) = x² + 3

⇒ g (x) = (x- 0)² + 3

Thus, The value of function g (x) will be;

⇒ g (x) = (x- 0)² + 3

Learn more about the translation visit:

https://brainly.com/question/1046778

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Answer:

width=x

length =2x.....

Answer:

l = 2w

Step-by-step explanation:

note:

l = lenght

w = width

so lenght  is 2 times width is -

l = 2w

Answer:

1. 400

2. -100 or no money

3. it had no money/ no funds  

Step-by-step explanation:

The volume of a cube whose edge is 6 cm long is 216