Construct an exponential equation for the data presented in the table.

A) y = 1 * (x)^2
B) y = 2 * (x)^1
C) y = 1 * (2)^x
D) y = 2 * (1)^x

Answer:

For the options given on the right hand side, it would be A and G

Answer:

I think its D

Step-by-step explanation

3,608 is the closest amount to 3,618 so i would say that

The 3,608 is the closest amount to 3,618.

We have given that,

Year Annual Salt Intake

(grams)

2012                  3,618

2013                3,646

2014                     3,680

2015                   3,716

2016              3,751

2017              3,790

The study found that the data after 2012 can be modeled by the function f(x) = 36.4x + 3,608, where x is the number of years since 2012 and f(x) is the total amount of salt ingested in grams. Describe the significance of 3,608.

Therefore we have 3,608 is the closest amount to 3,618

Therefore option D is correct.

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i don't have ideas about it

Answer:

[tex]y=2x-5[/tex]

Step-by-step explanation:

You may replace the [tex]x[/tex] with [tex]c[/tex] according to your question's requirement.

We can use the point slope form to find the equation of a straight line.

[tex](y-{y__1}})=m(x-{x__1})[/tex]

But first, let's find the slope [tex]m[/tex] between the two points.

[tex]m = \frac{-3-(-7)}{1-(-1)} = \frac{4}{2} = 2[/tex]

Then, let's use the point [tex](1,-3)[/tex] and plug them into [tex]x__1[/tex] and [tex]y__1[/tex]

[tex](y-{{-3)}})=2(x-{1})[/tex]

Equation: [tex]y = 2x - 5[/tex] (or [tex]y = 2c - 5[/tex] in your case)

Answer:

1.74 million (1,740,000)

Step-by-step explanation:

First we have to find 16% of 1.5 million

0.16 x 1,500,000 = 240,000

Now we add this to the original 1.5m

1,500,000 + 240,000 = 1,740,000

There is roughly 1.74 million in the population of Nairobi

Answer:

(15, -42)

Step-by-step explanation:

Reflect Over X-Axis Formula

The following formula is used to reflect a coordinate point about the x-axis.

(X2,Y2) = (X1,Y1) * (1,-1)

Where X2 and Y2 are the new reflected coordinates

X1 and Y1 are the original coordinate points

Reflect Over X-Axis Definition

Reflection over the x-axis is the process of producing a coordinate point that is mirrored across the x-axis of the coordinate plane. That is it has the same X coordinate and opposite y4 coordinate.

Reflect over X-Axis Example

How to reflect over the x-axis?

First, determine the original coordinate points.

For this example, we will say the coordinate points are (4,5).

Next, calculate the new coordinate points.

Using the formula above we calculate the new reflected points as (4,5)*(1,-1) = (4,-5).

Answer:

i jus took the test

Step-by-step explanation:

Answer:

The least common multiple of 20 and 25 is 100.

Answer:

100

Step-by-step explanation:

In order to find the least common multiple of 20 and 25, first find the prime factors of 20 and 25.

20 = 2*2*5

25 = 5*5

Here,

Common factor = 5

Uncommon factors = 2, 2, 5

Least common multiple of 20 and 25 = Common factors* Uncommon factors

= 5*(2*2*5)

= 5*20

= 100

Answer:

48 inches

Step-by-step explanation:

There are 12 inches in 1 foot. So multiply by 12 to convert from feet to inches.

4 × 12 = 48

4 feet = 48 inches

Answer: 30miles traveled 80 miles

Step-by-step explanation:

[tex]\\ \rm\Rrightarrow y=18.2.5^3[/tex]

[tex]\\ \rm\Rrightarrow y=18.(\dfrac{25^3}{100^3})[/tex]

[tex]\\ \rm\Rrightarrow y=15.625(18)[/tex]

[tex]\\ \rm\Rrightarrow y=281.25[/tex]

Answer:

y = 281.25

solving steps

y = 18 * 2.5³

y = 18 * 2.5 * 2.5 * 2.5

y = 18 * 15.625

y = 281.25

Step-by-step explanation:

Your basic future value formula is:

FV = PV (1+i) ^ n

Where:

FV = Future Value

PV = Present value = $1000

i = interest rate per period = 8/2 = 4% = 0.04

n = number of periods = 6 semi annual periods

Answer:

Graph A

Step-by-step explanation:

If you where to drop a ball it would fall towards the ground, no go up and Graph A represents this properly.

Answer:

The answer is neither C.

Step-by-step explanation:

The answer is C because as an object goes down/falls, The potential energy decreases. This is the same if an object is going up. This means that neither of the graphs are correct. Both graphs show that the object is moving which means it is using energy.

We are given that:

Ⳙ⳽ⲓⲛⳋ ⳨ⲟⲅⲙⳙⳑɑ:

Since, cylinder has circular ends , it's volume is given by the formula:

[tex] \quad\hookrightarrow\quad {\pmb{\sf { \pi r^2 h }} }[/tex]

Ⲧⲏⲉⲅⲉ⳨ⲟⲅⲉ:

[tex] \quad :\implies\quad \sf {V = \pi r^2 h }[/tex]

[tex] \quad :\implies \quad \sf { V =\pi\left( \cancel{\dfrac{34}{2}}\right)^2\times 16}[/tex]

[tex] \quad :\implies\quad \sf {V = 3.14 \times (17)^2 \times 16 }[/tex]

[tex] \quad :\implies\quad \sf { V = 3.14\times 289 \times 16}[/tex]

[tex] \quad :\implies \quad{\pmb{ \sf {V = 14,519.36}} }[/tex]

‎ㅤ‎ㅤ‎ ‎ㅤ‎ㅤ‎~Hence, the volume of given cylinder is 14,519.36 cube inches.

Ronald originally had $163

He spent a total of $123.45 on school clothes. The money he had left after the expenditure is $39.55 . The total money he had originally can be calculated as follows:

Therefore,

let

x = the original amount he had

Variable are numbers that are represented by letter in a mathematical equation,.

x - 123.45 = 39.55

x = 39.55 + 123.45

x = $163

The amount he originally had is $163

learn more on cost here: https://brainly.com/question/1055986

Step-by-step explanation:

found it somewhere so your welcome

The one possible solution is Justin has 8 nickels and 16 dimes.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, Justin has x nickels and y dimes, having a maximum of 28 coins worth a minimum of $2 combined.

0.05x + 0.1y ≤ 2.

x ≤ 8 and y ≤ 22.

The possible solution of these systems of inequalities is (8, 16).

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Answer:

what is it you just said What is the following​?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

1g = 1000mg

30g = ?

30 × 1000 ÷ 1 = 3000

3000mg × 5 = D) 150 000

Answer:

c; 180 cm

Step-by-step explanation:

Rewrite so

x

is on the left side of the inequality.

12

+

8

x

−

3

x

≥

5

+

2

x

−

2

Subtract

3

x

from

8

x

.

12

+

5

x

≥

5

+

2

x

−

2

Subtract

2

from

5

.

12

+

5

x

≥

2

x

+

3

Move all terms containing

x

to the left side of the inequality.

Tap for more steps...

12

+

3

x

≥

3

Move all terms not containing

x

to the right side of the inequality.

Tap for more steps...

3

x

≥

−

9

Divide each term by

3

and simplify.

Tap for more steps...

x

≥

−

3

The result can be shown in multiple forms.

Inequality Form:

x

≥

−

3

Interval Notation:

[

−

3

,

∞

)

Answer:The solution is in the attached filefile.Ifilefile.If you still don't understand,I'm ready to explain more

Step-by-step explanation:

Answer:

Square

Step-by-step explanation:

A square can be cut into more then one

Answer:

See below.

Step-by-step explanation:

9(n+8)-6

n=5

9(5+8)-6

9(13)-6

117-6

111

A sum is the answer to an addition expression or equation.

When one refers to "less than", they mean the number is "less than" the entirety of the expression or equation.

-hope it helps

Answer:

volume of cube = a³

= 24³

24*24*24

= 13,824 cm³

Answer:

Option C

Step-by-step explanation:

A solid dot is present at 10

So the equation of number line is

As equal to sign present .

Option C is correct

Answer:

4y + 12 is equivalent to D

Step-by-step explanation:

4(y+3)

4(y) = 4y

4(3) = 12

so it's D

Hope this worked !

Answer:

Umbrella insurance is a type of personal liability coverage the goes above and beyond the amount the a regular home or vehicle insurance offers.

Step-by-step explanation:   I just looked it up hope that answers your question.

Find where the two curves intersect:

[tex]4x = x - x^2 + x^3[/tex]

[tex]\implies x^3 - x^2 - 3x = 0[/tex]

[tex]\implies x (x^2 - x - 3) = 0[/tex]

[tex]\implies x = 0 \text{ or } x^2 - x - 3 = 0[/tex]

Completing the square gives

[tex]x^2 - x - 3 = \left(x - \dfrac12\right)^2 - \dfrac{13}4 = 0[/tex]

and solving for x,

[tex]\implies x = \dfrac12 \pm \sqrt{\dfrac{13}4} = \dfrac{1 \pm \sqrt{13}}2[/tex]

The total unsigned area between the two curves is then

[tex]\displaystyle \int_{(1-\sqrt{13})/2}^{(1+\sqrt{13})/2} \left|4x - \left(x - x^2 + x^3\right)\right| \, dx[/tex]

[tex]= \displaystyle -\int_{(1-\sqrt{13})/2}^0 \left(4x - \left(x - x^2 + x^3\right)\right) \, dx + \int_0^{(1+\sqrt{13})/2} \left(4x - \left(x - x^2 + x^3\right)\right) \, dx[/tex]

[tex]= \displaystyle -\int_{(1-\sqrt{13})/2}^0 \left(3x + x^2 - x^3\right) \, dx + \int_0^{(1+\sqrt{13})/2} \left(3x + x^2 - x^3\right) \, dx[/tex]

where we use the definition of the absolute value function to split up the integral at the point where one curve "overtakes" the other - in other words, y = 4x lies above the curve y = x - x² + x³ when x > 0, and vice versa otherwise.

We have the antiderivative

[tex]\displaystyle \int (3x + x^2 - x^3) \, dx = \dfrac{3x^2}2 - \dfrac{x^3}x - \dfrac{x^4}4 + C[/tex]

so that by the fundamental theorem of calculus, the area we want is

[tex]\displaystyle \int_{(1-\sqrt{13})/2}^{(1+\sqrt{13})/2} \left|4x - \left(x - x^2 + x^3\right)\right| \, dx = \boxed{\dfrac{73}{12}}[/tex]

The areas bounded by the curve y₁ = 4x and y₂ = x − x² + x³ between the limit (−1.303, 2.303) is 6.083 square units.

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The regions bounded by the graphs y₁ = 4x and y₂ = x − x² + x³ are shaded in the figure above.

The intersection point will be

4x = x − x² + x³

x³ − x² − 3x = 0

x = −1.303, 0, 2.303

Then the area bounded by the curve will be

[tex]\rm Area = \int _{-1.303}^{2.303} ( y_1 - y_2 ) dx\\\\\\Area = \int _{-1.303}^{2.303} 4x - (x-x^2+x^3) dx\\\\\\Area = \int _{-1.303}^{2.303} 4x - x+x^2-x^3) dx\\\\\\Area = \int _{-1.303}^{2.303} (3x + x^2-x^3) dx\\\\\\Area = \begin{bmatrix} \dfrac{3}{2}x^2 + \dfrac{1}{3}x^3 - \dfrac{1}{4} x^4 \end{bmatrix} _{-1.303}^{2.303}\\\\\\Area = \dfrac{73}{12}\\\\\\Area = 6.0833[/tex]

More about the area bounded by the curve link is given below.

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Answer:

Step-by-step explanation:

Whats the length and the width so I know what to multiply?
Because Area = L x W

Oh wait I think I just multiply them

19 x 20 = 380 x 25 = 9500

I think this is correct

If not im very sorry