Does the function f(x) = 25e-2x represent exponential growth, decay, or neither?


Exponential decay

Impossible to determine with the information given

Neither

Exponential growth

To rewrite equivalent expression is the fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

We know that,

The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.

It's crucial to understand the concept of multiplicity in order to correctly count without mentioning exceptions (for example, double roots counted twice). Thus, "counted with multiplicity" is used.

This can be highlighted by counting the number of different elements, as in "the number of separate roots," if multiplicity is disregarded. However, multiplicity is always taken into account when a set (as opposed to a multiset) is established, therefore the word "different" is not necessary.

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Answer: 11.99 + 0.45t ≤ 16 The most toppings you can have is 8

Step-by-step explanation:

11.99 + 0.45 is a basic cheese pizza plus one topping
11.99 + 0.45t represents a pizza plus an undefined amount of toppings
11.99 + 0.45t ≤ 16 The cost of the pizza has to be 16$ or less
Subtract 11.99 from each side
0.45t ≤ 4.01
Divide both sides by 0.45
t ≤ 8.9111
You can't have a partial number of toppings, and 9 is too much, so we round down to 8.

As per the multiplication operation, the value of 519 x 2 is 1038

Multiplication:

In math, multiplication means  the repeated addition of groups of equal sizes.

Given,

Here we need to find the value of 519 x 2.

AS per the multiplication table, the value of 519 x 2 is calculated by using the following steps:

=> 2 × 9 = 18.

∴ put down 8 and carry 1

=> 2 × 1 + 1 = 2 + 1 = 3.

∴ put down 3

=> 2 × 5 = 10.

∴ put down 0 and carry 1

Finally, combine all these values, the we get 519 x 2 = 1038.

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The area of the paperboard remaining after a semicircle is cut out of it is 235.52 in².

The area is the amount of space within the perimeter of a 2D shape.

To calculate the area of the rectangular board that remain, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the area of the paperbaord left is 235.52 in².

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The difference in pressure between the main line and the second floor is 91,100 Pa.

Bernoulli's theorem states that a drop in fluid pressure is connected with an increase in fluid velocity if the fluid flows horizontally so that there is no change in gravitational potential energy.

On the basis of the idea of energy conservation, Bernoulli's principle is explained. According to this law, the total amount of mechanical energy in a fluid travelling along a streamline will be the same at every point along that streamline in a steady flow.

Given ,

The settings provided;

The main line's water speed is 2.0 m/s,

The second floor's water speed is 7.0 m/s,

The water's density is 1.0 x 103 kg/m3.

The following formula can be used to compute the pressure difference between the main line and the second level using Bernoulli's equation:

[tex]p_1+1/2pv2/1+pgh1+ = p2+1/2pv2/2+pgh_2[/tex]

[tex]p1- p2 = 1/2pv2/2 - 1/2pv2/1 + pgh2 - pgh1[/tex]

[tex]p1 - p2 = 1/2p(v2/2 - v 2/1) + pg (h2- h1)[/tex]

p1 - p2 = 1/2(1000)(7² - 2²) + (1000 ×9.8)(5 - (-2))

p1 -  p2  = 91100 pa

Thus, the difference in pressure between the main line and the second floor is 91,100 Pa.

The complete question is : A water line enters a house 2.0 m below ground. A smaller diameter pipe carries water to a faucet 5.0 m above ground, on the second floor. Water flows at 2.0 m/s in the main line and at 7.0 m/s on the second floor. Take the density of water to be 1.0 × 103 kg/m 3 . The difference in pressure between the main line and the second floor is _______.

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No, the centroid and Circumcentre are not same but it is same in equilateral triangle.

The intersection of a triangle's perpendicular bisectors is called the circumcenter.A triangle's circumcenter is a location that is equally spaced from each of its vertices.The centroid of a triangle is the location where its medians connect.

Triangle's centroid is always within it. The centroid of a triangle is its center of gravity in physical terms. If the triangle is evenly distributed around the plane's surface and you want to balance it by supporting it at only one point, you must do it near the center of gravity.Are the circumcenter and centroid at the same location? In the case of an equilateral triangle, they will both be.

Therefore, the centroid and Circumcentre are not same but it is same in equilateral triangle.

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The equation that could represent the relationship between [d] and [t] is d = 60t.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have a person drives 120 kilometers in 2 hours. The distance traveled is proportional to the time taken.

We can write the equation that could represent the relationship between [d] and [t] with the help of the equation of a straight line.

y = mx + c

for c = 0

y = mx

m = 120/2

m = 60

So -

y = 60t

or

d = 60t

Therefore, the equation that could represent the relationship between [d] and [t] is d = 60t.

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The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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The intersection of these lines is the answer to the given system of equations. → (-1, -2)

Given the system of equations,

y = x - 1

y = 3x + 1

Now, equating both the given equations,

x - 1 = 3x + 1

3x - x = -2

2x = -2

x = -1

From, y = x - 1

          y = -1 - 1

          y = -2

The answer to the given system of equations is located at the intersection of these lines.

⇒ (-1, -2)

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Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number.

Given,

Equivalent;

Equivalent is not the same as equal in mathematics. While equivalent indicates similar but not the same, equal means the same in all respects. For instance, 1 + 1 is equivalent to 2, even if 2 is said to be equal to 2.

Here,

When writing equivalent fractions, the numerator and denominator should be multiplied or divided by the same number. This is the reason why when these fractions are simplified, they are reduced to the same value.

That is,

The numerator and denominator of equivalent fractions can be written by multiplying or dividing them both by the same value.

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Using the given information, the original fraction is 3/5

From the question, we are to determine the original fraction.

Let the numerator of the fraction be x and the denominator be y.

From the given information,

"The numerator of a fraction is 2 less than its denominator"

That is,

x = y - 2                 ----------- (1)

and

"When both the numerator and denominator are increased by 3, the fraction is increased by 3/20"

That is,

(x + 3)/(y + 3) = x/y + 3/20

Then,

(x + 3)/(y + 3) = (20x + 3y)/20y

(x +3)(20y) = (y + 3)(20x + 3y)           ---------- (2)

Substitute the value of x into equation (2)

((y - 2) +3)(20y) = (y + 3)(20(y - 2) + 3y)

(y - 2 +3)(20y) = (y + 3)(20y - 40 + 3y)

(y +1)(20y) = (y + 3)(23y - 40)

20y² + 20y = 23y² - 40y + 69y - 120

23y² - 20y² - 40y + 69y - 20y - 120 = 0

3y² + 9y -120 = 0

Divide through by 3

y² + 3y - 40 = 0

y² + 8y - 5y - 40 = 0

y(y + 8) -5(y + 8) = 0

(y - 5)(y + 8) = 0

y - 5 = 0 OR y + 8 = 0

y = 5 OR y = -8

Substitute the values of into equation (1)

x = y - 2

When y = 5

x = 5 - 2

x = 3

When y = -8

x = -8 - 2

x = -10

Ignoring the negative values, the fraction is 3/5

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The amount of each of vinegar and Italian dressing to be used are as follows;

The amount of vinegar and Italian dressing which the chef should use are to be determined.

Let the amount of vinegar used be x.

Let the amount of Italian dressing used be y;

Hence, for volume balance; we have;

x + y = 320

For the balance of vinegar; we have;

x + 0.04y = (0.13 × 320)

Hence, by subtracting the second equation from the first; we have;

0.96y = 0.87 × 320.

y = (0.87 × 320) / 0.96

y = 290.

Therefore, since x + y = 320;

x = 320 - 290 = 30.

Therefore, the amount of vinegar and Italian dressing to be used are; 30 milliliters and 290 milliliters respectively.

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1.4t - 0.4(t-3.1)=5.8

Combine terms in paratheses

1.4t - 0.4t + 1.24 = 5.8

Combine t's

(1)t + 1.24 = 5.8

Subtract 1.24 over

Answer: 2.6

Step-by-step explanation:

Use long division:

16.64 over 6.4

First multiply the numerator by 10 to get 166.4 over 64

Then divide 166.4 by 64 (using long division)

At the end you'll get 2.6

Answer:

8 + [8 + (-1*(-3)-4)]÷(-7) = 7/1 = 7

                    Hope this helped answer your question!

Answer:

7

Step by Step Explanation:

Answer:

makes over a 90 digre angle

Step-by-step explanation:

Answer:11x

Step-by-step explanation:

Answer:2 minus the square root of 3 divided by 2

Step-by-step explanation:

The property that defines the number sentence 6 + 0 = 6 is Additive Identity Property.

Given,

6 + 0 = 6

We have to find the property that defines the number sentence;

Additive Identity Property;

Additive identity property says that if zero is added to any real number, the resultant would be the same real number.

Here,

6 + 0 = 6

In this instance, we have added 0 to a real number (6) and have received back the same real number (6).

That is,

Additive Identity Property is the property that defines the number sentence 6 + 0 = 6

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The expression that shows the number of boxes ordered is 8p.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Since the school custodian ordered p rolls of paper towels and the paper towels are sold in boxes of eight.

The expression will be:

= Number of rolls × 8

= p × 8

= 8p

The expression is 8p.

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Comparing the box-and-whisker plots for both data of each city, we have:

a. City B had more noon temperatures above 76°F

b. Both had the same interquartile range.

c. City B had a larger median noon temperature

d. City A had the largest noon temperature.

The box-and-whisker plot has the following values it displays about a data distribution:

Interquartile range = Q3 - Q1

Analyzing the box-and-whisker plots given above, we have the following to conclude:

a. City B had more noon temperatures above 76°F because about more than 50% of the data are above 76°F.

b. Interquartile range for City A = Q3 - Q1 = 75 - 68 = 7

Interquartile range for City B = Q3 - Q1 = 80 - 73 = 7

Both had the same interquartile range.

c. Median for City A = 70

Median for City B = 78

City B had a larger median noon temperature

d. City A had the largest noon temperature of 85.

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For 1, the number of positive divisors or factors is only one i.e. 1 itself. So, number one is not a prime number.

What are prime numbers ?

Prime numbers are numbers greater than 1. They only have two factors, 1 and the number itself. This means these numbers cannot be divided by any number other than 1 and the number itself without leaving a remainder.

Numbers that have more than 2 factors are known as composite numbers.

For a number to be called as a prime number, it must have only two positive factors. Now, for 1, the number of positive divisors or factors is only one i.e. 1 itself. So, number one is not a prime number.

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The minimum possible volume of this rectangular prism is 176.78 ft³.

The maximum possible volume of this rectangular prism is 131.11 ft³.

Mathematically, the volume of a rectangular prism can be calculated by using this formula:

Volume = L × W × H

Where:

In order to determine the minimum possible volume of this rectangular prism, we would add the greatest possible error to each measurement and then multiply as follows:

Vmin = (3.5 + 0.25) × (8.4 + 0.25) × (5.2 + 0.25)

Vmin = 3.75 × 8.65 × 5.45

Minimum possible volume, Vmin = 176.78 ft³.

In order to determine the maximum possible volume of this rectangular prism, we would subtract the greatest possible error from each measurement and then multiply as follows:

Vmax = (3.5 - 0.25) × (8.4 - 0.25) × (5.2 - 0.25)

Vmax = 3.25 × 8.15 × 4.95

Maximum possible volume, Vmax = 131.11 ft³.

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Answer: It basically it all depends on the type of equations you have.

Step-by-step explanation: For example:  1/2 x 2/5 = ?. We can use a modal to solve this problem.   here is the modal that represents this equation. (Oh and I checked the answer, it was right)

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