Evaluate f(x)=e4x+5+2 when x=−2. Give an approximate answer rounded to two decimal places.

Comparing the maple tree and the pine tree growth information, the tree that grows faster is the pine tree.

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so on.

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem,  b for maple is given as 1.5 and we calculate for pine using the data in the table. the equation is derived as follows

f(x) = a(b)ˣ

12 = a(b)¹

24 = a(b)²

dividing 24 = a(b)² by 12 = a(b)¹

b = 2

hence for pine tree the b is 2 which is greater than 1.5

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Answer:

3×4×5=60 ft cubed

Step-by-step explanation:

multiply length ×width ×height the answer is in cubic units for volume

Having Substituted the given data into the volume formula, the volume was gotten as  60ft^3

Given Data

The expression for the volume of a tank is given as

Volume of tank = Length *widht*Height

Substituting our given Data into the expression for the volume formula we have

Volume of tank = 3*5*4

Volume of tank = 60ft^3

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Answer:

it's equal to = 242 =484. I think so that's the right answer please

Answer:

The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.

Step-by-step explanation:

Answer:

The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.

Step-by-step explanation:

SAMPLE

On solving the provided question, we can say that - here the value of exponential equation is 648/1296 = 0.5

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where

So, the equation is

[tex]3(2x^3y^5)^3/ (2x^6y^3)^4[/tex]

and x=y=1

so, 648/1296 = 0.5

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Answer:

sory

Step-by-step explanation:

The domain of the function whose graph shown in diagram is x ≤ 1.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

The domain of the function whose graph shown in diagram is x ≤ 1 as the value of x is less than 1.

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The equation will be  [tex]y=40000+16000*x[/tex]

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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Answer:

S(-8,-3), T(0, -3), and U(-7, -8)

Step-by-step explanation:

for all of the coordinates, you would subtract 8 from their X-values, and subtract 13 from their Y-values.

Answer:

-3

Step-by-step explanation:

because if the l had an equation of 2-3x always the gradient goes with an x

The first equation in the second system is a multiple of  second equation

is the first equation and the second equation  in the second system is a multiple of both equation in the first system

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Answer:

Step-by-step explanation:

This is about the range of the data.

The student with the most homework spent 4 1/2 hours and the student with the least homework spent 2 hours.

The difference is:

Correct choice is A

Answer:

2 ¹/₂ hours

Step-by-step explanation:

From inspection of the given line plot:

To find the difference between the most and least number of hours of homework, subtract the smaller number from the larger number:

[tex]\sf \implies 4 \frac{1}{2} - 2 = 2 \frac{1}{2}[/tex]

Therefore, the difference, in hours, between the student with the most homework and the student with the least homework is 2 ¹/₂ hours.

Answer: x = 13 and x = –29

Step-by-step explanation:i hope i help you

Answer:

To find the values of x that make the equation (x – 7)^2 = 36 true, you can start by undoing the square on the left side of the equation. Since (x – 7)^2 = (x – 7)(x – 7) = x^2 - 14x + 49. Then we know that x^2 - 14x + 49 = 36.

Now, you can add 14x and 49 to both sides to get x^2 = 50.

To find the values of x that make this equation true, we need to find the square root of both sides. So x = ±sqrt(50).

And the two values of x that will make the equation true are x = ±sqrt(50) = ±7sqrt(2). And it is not in the options given, which are x = 13, x = 1, x = -29, x = 42.

Step-by-step explanation:

Answer:

4c=4d

-remember to change the signs/symbols and do the like terms

Step-by-step explanation:

3 x 6 = 6 + 6 + 6

4 x 6 = 6 + 6 + 6 + 6

Answer:

18/24

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

honestly I really don't know but I think it is 12 colers

Answer:

Yes,the kits have the same ratio of acrylic paints to watercolor paints.

Step-by-step explanation:

12:24

12÷12=1

24÷12=2

1:2

8:16

8÷8=1

16÷8=2

1:2

Answer:

[tex]\rm Slope = -1[/tex]

Step-by-step explanation:

Given :-

And we need to find out the gradient of the line. parallel to the given line .The gradient of the line is the " slope " of the line. The given equation is in slope Intercept Form , which is ,

Slope intercept form :-

[tex]\rm\implies y = mx + c [/tex]

On comparing it to slope Intercept Form , we have ,

[tex]\implies \rm Slope (m) = (-1)[/tex]

And the slope of the line , parallel to a line is same as that of the given line. Therefore they will have same gradient.

[tex]\implies \boxed{\rm Slope_{(||\ line)} (m) = (-1)}[/tex]

Hence the gradient of the line is (-1) .

Answer:

There are 4 significant figures in the number 4105

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

4 significiant figures

Step-by-step explanation:

please mark this answer as brainliest

Answer: (3b - 7)kg

Step-by-step explanation:

Jona's weight = b kg

Since Jona's mother's weight is seven kg less than three time than jona's weight. This will be:

= (3 × b) - 7

= 3b - 7

Therefore, the mother is (3b - 7)kg

Answer/Step-by-step explanation:

According to the Hing e Theorem states when two triangles have two congruent sides but have different included angle measure, the largest angle is said to be definitely opposite the longer of the sides.

In the figure given, since both triangles have two corresponding sides that are congruent (BA = BB and BD = BD), and the included angle measure are different, therefore, the greater third side would be the side opposite to the included angle that is the greatest.

Thus, CD is opposite to the greater included angle (28°), therefore, CD> AD

Answer:

the k is 7

Step-by-step explanation:

12×2=24

12×3=36

12×4=48

12×5=60

12×6=72

12×7=84

Answer:

k = 7

Step-by-step explanation:

The product of 12 and k is 84 [tex]\rightarrow 12k=84[/tex].

[tex]12k = 84 \\ k = \dfrac{84}{12} \\ \boxed{k = 7}[/tex]

Let the amount Tom does = x

Then Larissa’s time would be 3x( 3 times the amount of Tom)

And Neal would also be 3x

The total of the 3 is 84 hours so as an equation you have:

X + 3x + 3x = 84

Combine like terms

7x = 84

Divide both sides by 7

X = 84/7

X = 12 hours

Tom = x, so Tom exercised for 12 hours.

answer to this question is simple 7 4/9

Answer:

c

Step-by-step explanation:

there's 6 squares

Answer:

the answer for this question is C

Answer:

63°

Step-by-step explanation:

...................................

Answer: 2/3πx³

Step-by-step explanation:

Let the radius of the cone be represented by x.

Since the height of the cone is twice the radius of its base, the height will be: = 2x

Volume of a cone = 1/3πr²h

where,

r = x

h = 2x

Volume of a cone = 1/3πr²h

= 1/3 × π × x² × 2x

= 1/3 × π × x² × 2x

= 1/3 × π × 2x³

= 2/3πx³

Therefore, the correct answer is 2/3πx³.

Answer:

6x^2-27x-15

Step-by-step explanation:

Area of rectangle: length x width

Area=(2x+1)(3x-15)=6x^2-27x-15

When convert it into rectangular form we get x=-1/2 and y=0.

To convert a point in polar coordinates (r, θ) to rectangular coordinates (x, y), you can use the following formulas:

[tex]x = r * cos(θ) \\y = r * sin(θ)[/tex]

Where r is the distance from the origin to the point, and θ is the angle in radians between the positive x-axis and the line connecting the point to the origin.

Alternatively, you can also convert from rectangular to polar coordinates using the following formulas:

[tex]r = sqrt(x^2 + y^2)\\θ = atan2(y, x)[/tex]

Where x, y are the rectangular coordinates and atan2 is a function that computes the angle of a point in a cartesian plane.

In general, it's worth noting that the polar coordinates are often used in some physics and engineering problems, while the rectangular coordinates are often used in computer graphics, analytic geometry and other fields.

The angle of 1's inverse tangent is 45°. This is the outcome of translating to polar coordinates in the form (r,theta).

To convert it into rectangle equation we have

[tex]x=rcos(theta)\\y=rsin(theta)\\r=1\\theta= 3*pi/2\\x= cos(3*pi/2)\\x= -1/2\\y=sin(3*pi/2)\\y=0[/tex]

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The product of 5 and 14 using the distributive property is 70.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

For three numbers a, b and c, Distributive property states that,

a (b + c) = a b + a c

We have to find the product 5 × 14 using distributive property.

5 × 14 = 5 (12 + 2)

Using distributive property,

5 × 14 = (5 × 12) + (5 × 2)

          = 60 + 10

          = 70

Hence using distributive property, we can find the product of 5 and 14 as 70.

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