the first choice is- (is not) or (is)the second choice is- (are) or (are not)im thinking its- (is) and (are not)please correct me if im wrong

To find the function n(t) that models the population of bacteria after t hours, we can use the exponential growth formula:

n(t) = n0 * e^(kt)

Where:

n(t) is the population after t hours,

n0 is the initial population size,

e is the base of the natural logarithm (approximately 2.71828),

k is the growth rate constant.

We can determine the value of k using the given information. After 1 hour, the bacteria count is 9500, which is the population at time t = 1. Plugging these values into the equation:

\(9500 = 1100 * e^(k*1)\)

To find k, we can divide both sides by 1100:

9500/1100 = e^k

Now, we can solve for k by taking the natural logarithm (ln) of both sides:

ln(9500/1100) = ln(e^k)

ln(9500/1100) = k

Now we have the value of k. We can plug it back into the exponential growth formula to obtain the function n(t):

\(n(t) = 1100 * e^(ln(9500/1100) * t)\)

To find the population after 1.5 hours, we can substitute t = 1.5 into the equation:

\(n(1.5) = 1100 * e^(ln(9500/1100) * 1.5)\)

To find the number of hours when the number of bacteria will reach 20,000, we can set n(t) equal to 20,000 and solve for t:

\(20,000 = 1100 * e^(ln(9500/1100) * t)\)

Finally, to sketch the graph of the population function, plot the values of t on the x-axis and the corresponding values of n(t) on the y-axis using the equation n(t) = 1100 * e^(ln(9500/1100) * t). The resulting graph will show the exponential growth of the bacteria population over time.

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Step-by-step explanation:

I think this will help you. Thanks.

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{Let\ the\ age\ of\ Sophia\ be\ }x\mathrm{\ and\ age\ of\ Mohal\ be\ }x+2.\\\mathrm{Given,}\\\mathrm{Product\ of\ their\ ages = 15}\\\mathrm{or,\ }x(x+2)=15\\\mathrm{or,\ }x^2+2x=15\\\mathrm{or,\ }x^2+2x-15=0\\\mathrm{or,\ }x^2+5x-3x-15=0\\\mathrm{or,\ }x(x+5)-3(x+5)=0\\\mathrm{or,\ }(x+5)(x-3)=0\\\mathrm{i.e.}\ x=-5\ \mathrm{or}\ 3.\)

\(x=-5\ \mathrm{is\ disgarded\ because\ age\ cannot\ be\ negative.}\\\mathrm{So\ the\ age\ of\ Shopia,\ }x=3\)

Answer:

yes ASA

Step-by-step explanation:

Answer:

8t - 7 ≤ 41  ||  t ≤ 6

Step-by-step explanation:

8t - 7 ≤ 41

   +7      +7

---------------

8t ≤ 48

÷8    ÷8

----------------

t ≤ 6

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

- 13 feet

...........

The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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9514 1404 393

Answer:

  (f-g)(x) = 4x^3 +7x^2 -6x +1

Step-by-step explanation:

(f -g)(x) = f(x) -g(x)

  = (4x^3 +7x^2 -2x -1) -(4x -2)

  = 4x^3 +7x^2 +(-2-4)x +(-1+2)

(f -g)(x) = 4x^3 +7x^2 -6x +1

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

After the translation 4 units down

The rule of translation is (x, y) to (x , y-4)

The graph will be as following

============================================================================

For the graph of the triangle:

D = ( 4 , 0) , B = (6 , -2) and C = ( 10 , -2)

it is required to graph after translation 7 units left and 8 units up

So, for each point add ( -7 , 8 )

So,

D' = ( -3 , 8) , B' = (-1 , 6 ) and C' = ( 3 , 6)

the graph will be as following:

The restriction of a function f is when the domain of f is limited to a subset of its original domain.

The restriction of a function f can be demonstrated by considering a function f: R -> R, where R represents the set of real numbers.

Let u say f(x) = x^2. Now, if we restrict the domain of f to the interval [0, 5], the new function becomes f restricted: [0, 5] -> R and its expression would be f restricted(x) = x^2 for x in the interval [0, 5].

This means that the function f restricted only takes inputs from the interval [0, 5] and behaves the same way as the original function within that interval.

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Answer: q=13

Step-by-step explanation:

add the separate the q, add 4 to the 9= 13

13=q

Answer:

\(k = 31\)

Step-by-step explanation:

Given

\(f(x) = 4x^2 - 2x^2 + kx + 5\)

\(r = -10\) --- remainder

\(d = 2x + 1\) --- divisor

Required

Find k

We have:

\(d = 2x + 1\) --- divisor

Equate to 0

\(2x + 1 = 0\)

Solve for x

\(2x = -1\)

\(x =-0.5\)

This means that:

\(f(-0.5)=-10\)

So, we have:

\(4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10\)

\(0.5 -0.5k + 5 =-10\)

Collect like terms

\(-0.5k=-10-5-0.5\)

\(-0.5k=-15.5\)

Solve for k

\(k = -15.5/-0.5\)

\(k = 31\)

Answer:

The question is not detailed enough

Answer:

In step 2, Nathan did not simplify 5x - 3x correctly.

Step-by-step explanation:

In step 2, Nathan was one number off the correct simplification.

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept

Answer:

It must gather every 12 hours or 12*60=720 minutes. 3 minutes are gained every hour, so it needs exactly 10 days(240 hours) ... correct time will show Tuesday, at 6 PM, to be exact.

The reason that justifies the second statement "Angle L is congruent to angle T" is:

In a parallelogram, opposite angles are congruent.

Option C is the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Parallelogram LENS and parallelogram NGTH

Now,

Parallelogram LENS:

∠L = ∠N _____(1)

Opposite angles are equal.

Parallelogram NGTH:

∠N = ∠T ______(2)

Opposite angles are equal.

Now,

∠ENS = ∠GNH

Vertical angles are equal.

So,

From (1) and (2).

∠L = ∠T

Angle L is congruent to angle T

Thus,

Angle L is congruent to angle T

[ In a parallelogram, opposite angles are congruent ].

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Justin is wrong because the radius is not squared, the actual radius is r = 3m.

First, remember that for a sphere of radius R the surface is:

\(S = 4pi*r^2\)

So you already can see that Justin is wrong, because the radius in his expression is not squared.

Now to be complete, let's find the radius:

\(113.04 m^2 = 4*(3.14)*r^2\\\\\sqrt{\frac{113.04 m^2}{4*3.14} } = r = 3m\)

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Answer:

 y = 4.87x + 2.28 Is the answer

Step-by-step explanation:

( i see a little bit of part b but do not see the FULL QUESTION which is a problem and i cannot answer.. )

using a:

THE ULTIMATE LINEAR REGRESSION CACLAULTOR

yes it is the epic i get:

y = 4.87x + 2.28

Nothing more noting less ikr

y = 4.87x + 2.28 Being the answer

Answer: 0.525

21/40 in decimal is 0.525

Brainliest pls if correct!

Given:

P = Set of all triangles,

Q = Set of scalene triangles,

R = Set of isosceles triangles and

S = Set of equilateral triangles.

To find:

Which of the following statements are true or false?

Solution:

We know that,

Scalene triangles : All sides are different.

Isosceles triangles : Two sides are equal.

equilateral triangles : All sides are equal.

Set of all triangles contains all scalene triangles. So, set of scalene triangles Q is a subset of Set of all triangles P.

\(Q\subset P\)

So, (a) is true.

All isosceles triangles are not equilateral triangles. So, set of isosceles triangles R is not a subset of set of equilateral triangles S.

\(R\nsubseteq S\)

So, (b) is false.

Set of all isosceles triangles contains all equilateral triangles. So, set of equilateral triangles S is a subset of set of isosceles triangles R .

\(S\subset R\)

So, (c) is true.

The only equation that is a polynomial identity is (A), (c+d)³ = c³ - d³ + 3cd(c + d).

It should be noted that to determine which equation is a polynomial identity, we need to simplify both sides of each equation and see if they are equal for all values of c and d.

(A) (c+d)³ = c³ + 3c²d + 3cd² + d³

= c³ - d³ + 3cd(c + d)

The left-hand side can be expanded using the binomial formula. The right-hand side is a polynomial of degree 3, so we can see that equation (A) is a polynomial identity.

(B) (c+d) = c + d³ + 3cd(c + d)

= d³ + c³ + 3cd(c + d) + c + d - c³

= d³ + c³ + 3cd(c + d) + c + d

The right-hand side can be simplified, but it is not equal to the left-hand side for all values of c and d. Therefore, equation (B) is not a polynomial identity.

(C) (c+d)³ = c³ + 3c²d + 3cd² + d³

= c³ + d³ + 3cd(c + d) + cd(c - d)

The right-hand side is not equal to the left-hand side for all values of c and d, so equation (C) is not a polynomial identity.

(D) (c+d)³ = c³ + 3c²d + 3cd² + d³

= c³ - d³ + 3cd(c - d) + c³ + d³

= 2c³ + 3cd(c - d)

The right-hand side is not equal to the left-hand side for all values of c and d, so equation (D) is not a polynomial identity.

Therefore, the only equation that is a polynomial identity is (A), (c+d)³ = c³ - d³ + 3cd(c + d).

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Answer: 0.16

Step-by-step explanation:

Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.

According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.

About 68% woman have height between ( 66-3) inches and (66+3) inches.

i.e. About 68% woman have height between 63 inches and 69 inches.

The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]

The percentage of woman have height  is 69 inches or taller = 32%÷2

= 16%

Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16

Answer:

answer is here

Step-by-step explanation:

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Answer:

the answer is y = 3/4x + 1/2 (I think sorry if wrong)

Answer:

19/5

Step-by-step explanation:

17= 5k - 2

Answer:

frickk math

Step-by-step explanation:

i will never use it