A population of bacteria is growing according to the equation P (t)=1100e^0.04t. Estimate when the population will exceed 1455.

The dimensions of the rectangle are 3 inches by 5 inches.

Let x be the length of one side of the rectangle. Then the other side is 2 inches longer, so its length is x + 2. The area of the rectangle is given by A = L × W, where L is the length and W is the width.

We are told that the area of the rectangle is 15 square inches, so we can set up the equation:

x(x + 2) = 15

Expanding the left side, we get:

x^2 + 2x = 15

Subtracting 15 from both sides, we get:

x^2 + 2x - 15 = 0

We can factor the left side of the equation to get:

(x + 5)(x - 3) = 0

Therefore, either x + 5 = 0 or x - 3 = 0. Solving for x in each case, we get:

x = -5 or x = 3

Since the length of a side cannot be negative, we must reject the solution x = -5. Therefore, the length of one side of the rectangle is x = 3 inches. The other side is 2 inches longer, so its length is x + 2 = 5 inches. Therefore, the dimensions of the rectangle are 3 inches by 5 inches.

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Answer:

Longer side: 5 in.

Shorter side: 3 in.

Step-by-step explanation:

You can start by looking at the integer values. To do that, we can find the factors of 15.

The factors are:

1, 3, 5, and 15

Is there a pair so that one number is 2 more than the other?

Yes. The pair 3, 5 are 2 numbers away from each other, and they multiply to get 15.

Hope this helps.

Answer:

Option C

Kindly award branliest

Step-by-step explanation:

Tn = n(n + 1)

T1 = 1(1 +1) = 1(2) = 2

T2 = 2(2+1) = 2(3) =6

T3 = 3(3 + 1) = 3(4) = 12

T4 = 4(4 + 1) = 4(5) = 20

... It obeys

Answer:

x = \(\frac{5}{8}\)

Step-by-step explanation:

Given

- 4(3 + x) + 5 = 4(x + 3) ← distribute parenthesis on both sides

- 12 - 4x + 5 = 4x + 12 , that is

17 - 4x = 4x + 12 ( subtract 4x from both sides )

17 - 8x = 12 ( subtract 17 from both sides )

- 8x = - 5 ( divide both sides by - 8 )

x = \(\frac{-5}{-8}\) = \(\frac{5}{8}\)

Answer:

its 1

Step-by-step explanation:

the value of x and x is like having 1÷1 = 1

same with x : x÷x=1

since x is just a value

When x is divided by x , it's 1.

Division is the process of splitting a number or an amount into equal parts.

Here, given that,

x is divided by x

=x/x

=1.

Hence, When x is divided by x , it's 1.

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Step-by-step explanation:

OMG!!??!!?? SCIENTISTS TRANSFORM 6IX9INE INTO A RAT?!??????!!?! LOOK AT HIM!!!!!!!!

The statement "System analysts define an object's attributes during the systems design process" is true because  defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.

In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.

For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.

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Answer:

\(sum \: two \:eqations \\ 3x = - 6 \\ x = - 2 \\ - 2 + y = 3 \\ y = 5\)

Answer:

b = -66.

Step-by-step explanation:

\(18 = \frac{b}{ - 3} - 4 \\ = - 3(18) = - 3 \times \frac{b}{ - 3} - 4( - 3) \\ = - 54 = b + 12 \\ = - 54 - 12 = b \\ = - 66 = b\)

Answer:

The answer is 3

Step-by-step explanation:

If you combine like terms you get 22x - 6 = 60

Then you set the numbers and x's apart = 22x = 66

Then you divide and get 3

Answer:

L

Step-by-step explanation:

Answer:

The value of a mathematical expression is the result of the computation described by this expression when the variables and constants in it are assigned values. The value of a function, given the value(s) assigned to its argument(s), is the value assumed by the function for these argument values.

Step-by-step explanation:

Yes, the value of an expression does mean the answer.

The value of an expression is a variable that is assigned to a number.

Lets say we have 3n + 2 = 10.

"n" is the variable and we need to find the value of it.

In that kind of question, that is the answer for an expression.

But there are cases where we have the value and we need to solve with it. Then, the value would not be the answer.

Best of Luck!

Answer: x=15/19 =0.789

Step-by-step explanation:  -12*x+1-(7*x-14)=0

  -19x+15 = 0  

Subtract  15  from both sides of the equation :  

                     -19x = -15

Multiply both sides of the equation by (-1) :  19x = 15

Divide both sides of the equation by 19:

                    x = 15/19 = 0.789

x = 15/19 = 0.789

The person that won the game is Jillian because the person with the lower mean took fewer putts on average for each hole.

This refers to the standard of measurement where a given data is collated and the average is found.

Hence, we can see that because of the game of golf played by Jillian and Dawn, there is a mean of 2.4 for Jillian and 3.3 for Dawn after playing 18 holes and Jillian's is lower because he took fewer putts on average for each hole.

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Answer:

Range: (-∞,∞)

Domain: (-∞,∞)

Step-by-step explanation:

Remember that if there are arrows that the function continues.

The answer is A) (4,9).

To solve the system of equations y = x + 5 and y = 5x - 11 using a graphical method, we can graph both lines on the same coordinate plane and find the point where they intersect, which will be the solution of the system.

To graph the first equation, y = x + 5, we can start with the y-intercept, which is 5, and use the slope of 1 to find another point. For example, if we move one unit to the right, we will also move one unit up, and we will get the point (1,6). We can then draw a line through these two points.

To graph the second equation, y = 5x - 11, we can start with the y-intercept, which is -11, and use the slope of 5 to find another point. For example, if we move one unit to the right, we will move five units up, and we will get the point (1,-6). We can then draw a line through these two points.

Now we can see that the two lines intersect at the point (4,9), which is the solution of the system. Therefore, the answer is A) (4,9).

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The function f(theta) is:

f(theta) = sin(theta) + cos(theta) + 3

To find the function f, we will integrate the given second derivative with respect to theta twice, and use the initial conditions to determine the constants of integration.

First, integrating f ''(theta) = sin(theta) + cos(theta) with respect to theta gives:

f '(theta) = -cos(theta) + sin(theta) + C1

where C1 is a constant of integration.

Next, integrating f '(theta) = -cos(theta) + sin(theta) + C1 with respect to theta gives:

f(theta) = sin(theta) + cos(theta) + C1*theta + C2

where C2 is another constant of integration.

To determine the values of C1 and C2, we use the initial conditions:

f(0) = 4 gives us:

4 = sin(0) + cos(0) + C1*0 + C2

4 = 1 + C2

so C2 = 3.

f '(0) = 1 gives us:

1 = -cos(0) + sin(0) + C1

1 = 1 + C1

so C1 = 0.

Therefore, the function f(theta) is:

f(theta) = sin(theta) + cos(theta) + 3

Note that there are other ways to express this function, such as using trigonometric identities to simplify the expression, but this is the most general form.

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Answer:

319

Step-by-step explanation:

So, to find the surface area, first we find the base area, which is: 11 x 11 = 121

Then, we have to find the area of the other faces. Since each face is a triangle, we can use the formula A = 1/2 x b x h.

So,

b = 11

h = 9

1/2 x 11 x 9 = 49.5

The, we multiply by 4, the number of sides: 49.5 x 4 = 198

Then, we add the 2, values: 121 + 198,

Which gives us: 319.

Hope this helped!

A function that models the brightness of the star as a function of time is

M = -.35 sin (t • pi/2.7) + 4.4

First, let's create a table to find when the star will be at its maximum, minimum and its average, and what direction the magnitude will be moving at that time.

t = 0, M = 4.4 +

t = 1.35, M = 4.75 -

t = 2.7, M = 4.4 -

t = 4.05, M = 4.05 +

t = 5.4, M = 4.4 +

t = 6.75, M = 4.75 -

The t=0, entry is given by the parenthetical.  The period is given as 5.4 days (the time between the start of each cycle), so the star will reach its maximum at 1.35 days, return to average at 2.7 days, reach its minimum at 4.05 days, return to average at the period interval, 5.4 days, and then reach maximum again in 6.75 days.  The difference between 6.75 and 1.35 days (the time between maximums) is 5.4 days, as required.

There are many functions that might be chosen, I would choose a sine or cosine function.  The choice between sine and cosine is usually best done on whether you want the initial value of the function to be 0 (sine) or 1 (cosine).  Here, we start at the average value, so we are better off starting with sine.  The amplitude of the sine function needs to be the change from the average value (positive or negative) or .35, since the sine of 0, pi, 2pi, 3pi ... is 0, we need to move the center line of the sine function up by 4.4, the average value of the magnitude.  Finally, we need multiply the time value in order to adjust the time into the appropriate radian measure for the 5.4 day period.  So we want

0 days -> 0 radians

1.35 days -> pi/2 radians

2.7 days -> pi radians

4.05 days -> 3pi/2 radians

5.4 days -> 2pi radians

So we need to divide each time value by half the period (2.7) and multiply it by pi or pi/2.7.

Thus, the best sinusoidal equation is

M = .35 sin (t • pi/2.7) + 4.4

This assumes that a magnitude of 4.75 is brighter than 4.4, which would be brighter than 4.05.  If magnitude works the other way, then all you need to do is change the sign or the equation, i.e.

M = -.35 sin (t • pi/2.7) + 4.4

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Answer:

1- 80 miles

2- 3 hours

3- 35 mph

4- 180 miles

5- 5 hours

6- 15 mph

Step-by-step explanation:

if you travel at 40 miles every hour, then in 2 hours you'll travel 80 miles.

The surface area of the triangular base prism is 18.87 cm².

The prism is a triangular base prism . Therefore, the surface area of the prism can be found as follows:

Surface area of the prism  = (a + b + c)l + bh

where

Therefore,

a = 1 cm

b = 1 cm

c = 1 cm

l = 6 cm

b = 1 cm

h = 0.87 cm

Therefore,

surface area of the triangular prism = (1 + 1 + 1)6 + 1(0.87)

surface area of the triangular prism =3(6) + 0.87

surface area of the triangular prism = 18 + 0.87

surface area of the triangular prism = 18.87 cm²

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The formulae that specify how much 8% solution in equation and how much 24% solution were utilized are x+ y=200 and x+3y=450.

A mathematical equation is a formula that uses the equals symbol (=) to link two expressions and represent their equivalence. A mathematical statement that demonstrates the equality of two mathematical expressions is an equation in algebra, in its most basic form. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

Let x and y be the volume of the 8% and 24% solutions, respectively, that were utilized.

The entire solution volume, as stated in the question, will be 200ml. The resulting equation is: x +y=200

Now that it has been stated that 8%, 18%, and 24% saline mixes would be employed as the solution, the following equation will be:

\(0.08x+ 0.24y=0.18*200\\8x/100+24/100=18/100*200\\8x+24y=3600\\\\8(x+3y)=3600\\ x+3y=450\\\)

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On solving the provided question, we can say that For the specified percentage, the 95% confidence interval is (0.864, 0.3580).

A confidence interval in statistics expresses the probability that a population parameter would fall between a set of values for a specific percentage of the time. Analysts commonly utilize 95% or 99% confidence intervals for their predictions.

If total samples = E = 36, then

8 results were obtained.

Chance = p = 8/36 = 0.2222

Z value at 95% confidence level = 1.96

p = \(0.2222 + 1.96 ( \sqrt{ 0.2222() 1 - 0.2222) / 36 } ) = 0.3580\)

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The sample proportion is 0.68 or 68% when rounded to two decimal places.

To calculate the sample proportion, you can use the formula:
Sample proportion (p) = x/n where x is the number of successes and n is the sample size. In this case, p = 0.62 (population proportion), x = 68, and n = 100.
Now, plug in the given values:
p = 68/100
p = 0.68

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2x^2 + 6x - 7 - 9x^2 + 11

(2x^2 - 9x^2) + (6x) + (-7 + 11)

-7x^2 + 6x + 4

Hope this helps!! :)

Answer:

=- 7x^2+6x+4

Step-by-step explanation:

Answer:

it's just 7

Step-by-step explanation:

because if x is 0 then -3 times 0 will be 0 and 7 + 0 is 7

Answer:

3(14)+2(9) is the equation

$60 is the total cost

Tell me if im right :)

Answer:

T=60

Step-by-step explanation:

Answer:

3/16 of an onion

Step-by-step explanation:

3/4 onion divided by 4

3/4÷4

Copy dot lip

3/4 * 1/4

3 /16 of an onion

Answer:

\( \frac{3}{16} \)

Step-by-step explanation:

\( \frac{3}{4} \div \frac{4}{1} \\ \frac{3}{4} \times \frac{3}{4} \\ = \frac{3}{16} \)

hope this helps

brainliest appreciated

good luck! have a nice day!