The formula A = 252e^.049t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 373 thousand?

Answer:

2343.

have a nice day

Step-by-step explanation:

Answer:

n= 15

Step-by-step explanation:

The curved surface area of the cylinder is 48.06 cm².

The circumference of a cylinder is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the base.

In this case, the given circumference is 6 cm.

So, 6 = 2πr

r = 6 / (2π)

r ≈ 0.955 cm

Now, the curved surface area (CSA) of the cylinder using the formula:

CSA = 2πrh

Given the height as 8 cm, we can substitute the values into the formula:

CSA = 2π(0.955 cm)(8 cm)

CSA ≈ 48.06 cm²

Therefore, the curved surface area of the cylinder is 48.06 cm².

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Answer:

im tired.............

Answer:

DE, EW, WD

Step-by-step explanation:

From shortest line to longest line this would be the correct order.

Answer:

y-intercept is -1

slope of the red line is 1/2 or 0.5

Step-by-step explanation:

in the equation y=mx+b

b=y-intercept and m=slope

you can see the blue equation b is equal to -1

in the red equation m=0.5

to find the y-intercept look for where the line crosses the y axis

to find the slope count rise(how many units up) over run(how many units across)

Answer:

answer is 283 in^3

Step-by-step explanation:

The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B

Based on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:

A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.

B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.

C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.

D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.

Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.

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Answer:

Radius =  6.40

Diamater - 12.70

Step-by-step explanation:

hope this helped!

The diameter and radius of a circle to the nearest hundredth with the given circumference, C = 40 inches is 12.73 inches and 6.37 inches.

Circumference of a circle is defined as the total length of the boundary of the circle.

The concept is same as the perimeter for straight sided figures.

The formula to calculate the circumference of the circle is given by,

Circumference = 2πr

Here r is the radius of the circle.

Given C = 40 inches

2πr = 40

πr = 40 / 2

πr = 20

r = 20/π = 6.366 ≈ 6.37

Diameter = 2 × radius = 2r = 12.732 ≈ 12.73

Hence the diameter and radius are 12.73 inches and 6.37 inches.

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Answer:

Step-by-step explanation:

A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.

A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.

its C and D i think good luck people

<3

Answer:

Line 1: slope is 1

Line 2: slope is -1

Lines are perpendicular

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

Answer:

the answer is m= -13/7

Step-by-step explanation:

use symbolab I use it all the time

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.

Then the retail price is given as,

⇒ $80 x (1 + 0.445)

⇒ $80 x 1.445

⇒ $115.60

If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.

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The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

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The 70 meters by 50 meters rectangular field having a path with an area of 104 m² around it indicates that the width of the path, found using the quadratic formula is about 0.43 meters.

The quadratic formula is a formula that is used to find the values of x that are the solutions to the the the quadratic equation of the form, a·x² + b·x + c = 0.

The length of the rectangular field = 70 meters

The width of the rectangular field = 50 meters

The width of the path around the field = Uniform width

Area of the path around the field = 104 m²

Let x represent the width of the path, we get;

(70 + 2·x) × (50 + 2·x) - 70 × 50 = 104

4·x² + 240·x = 104

4·x² + 240·x - 104 = 0

The quadratic formula which can be used to find the value of x in the equation a·x² + b·x + c = 0, is presented as follows;

\(x = \dfrac{-b\pm \sqrt{b^2-4\cdot a \cdot c} }{2\cdot a}\)

Comparing the equation 4·x² + 240·x - 104 = 0 to the quadratic equation for the quadratic formula; a·x² + b·x + c = 0, we get;

a = 4, b = 240, c = -104

Therefore;

\(x = \dfrac{-240\pm \sqrt{240^2-4\times 4 \times (-104)} }{2\times 4}\)

x ≈ 0.430 or x ≈ -60.4

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It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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The probability that a pupil uses the gym but not the swimming pool is 30%

An equation is an expression showing the relationship between two or more numbers and variables.

60 pupils in a sports centre are surveyed.  29 pupils use the swimming pool. 23 pupils use the gym and 5 people use both. Hence:

Pupils using swimming pool alone = 29 - 5 = 24

Pupils using gym alone = 23 - 5 = 18

Pupils using neither = 60 - (24 + 18 + 5) = 13

Probability that a pupil uses the gym but not the swimming pool = Pupils using gym alone / total number

Probability that a pupil uses the gym but not the swimming pool = 18/60 = 0.3 = 30%

30% of pupil use gym alone

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Answer:

x = 2213

Step-by-step explanation:

We need to find the value of x, which is multiplied by 10. We know that 10x = 22130, so all we need to do is divide both sides by ten.

10x ÷ 10 = x

22130 ÷ 10 = 2213

Therefore, x = 2213

NOTE:

I'm not sure if you meant to type x10, because if so, that's an entirely new equation. If you just meant 10x, you can ignore this.

To solve this, you have to take the root of both sides and solve.

Exact Form:

x  =  10 √ 22130 ,  − 10 √ 22130  

Decimal Form:  x = 2.71955684 … ,  − 2.71955684 …

Answer:

x = 2213

Step-by-step explanation:

22130/10 = 2213

Answer:

C

Step-by-step explanation:

The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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Answer:

the answer is 8.

Step-by-step explanation:

Brainliest? uwu

Answer:

8 :)

You round down. If it was 8.5 then you'd round up, anything below would be rounded down, for example, 8.4, 8.3, 8.2, 8.1.

the funcn is decreasing for all real values of x where x<1.5

The proof of the given question is given in the solution as follows

A technique for factoring a number or a polynomial is called factorisation. The polynomials are divided into the sums of their component parts. As an illustration, x2 + 2x may be factored as x(x + 2), where x and x+2 are the factors that can be multiplied to obtain the original polynomial.

The six types of factoring are: greatest common factor, difference in two squares, grouping, sum or difference in two cubes, trinomials, and general trinomials.

In the given equation

we separate m2-1/n2 to (a+b)(a-b) form

and hence we get the answer as

(n+1/m)^m-n/(m-1/n)^m-n

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