The bird population in a forest is about 2300 and is decreasing at a rate of 5% per year. Let t represent the number of years and P represent the population. Write an exponential decay model to represent this situation. (please fill in those blank spaces)

P = _____ (1 - ____ ) t

Answer:

7

Step-by-step explanation:

Answer:

The answer to this would be +7 yards

Step-by-step explanation:

I tried my best...please mark me brainliest and I hope you have a fantastic day!

Answer:

Answer is 28

Step-by-step explanation:

p and q are parallel lines intersected by a straight line s.

so, 9 and 13 angles should be same.

Angle 9 is (180 - angle 10) or (180 - (3x - 7))

since, Angle 9 = 13,

(180 - (3x - 7)) = (4x - 9)

Rest of the calculations are in attached pic

A power series for f(x) = 6(2x+1)^2, ||<1,  can be calculated by  using the binomial series formula: (1 + t)^n = ∑(k=0 to infinity) [(n choose k) * t^k]. The power series for f(x) is: f(x) = 6 + 12(x - (-1/2)) + 6(x - (-1/2))^2 + ∑(k=3 to infinity) [ck * (x - (-1/2))^k]

Where (n choose k) is the binomial coefficient, given by:
(n choose k) = n! / (k! * (n-k)!)
Applying this formula to our function, we get:
f(x) = 6(2x+1)^2 = 6 * (4x^2 + 4x + 1)
= 6 * [4(x^2 + x) + 1]
= 6 * [4(x^2 + x + 1/4) - 1/4 + 1]
= 6 * [4((x + 1/2)^2 - 1/16) + 3/4]
= 6 * [16(x + 1/2)^2 - 1]/4 + 9/2
= 24 * [(x + 1/2)^2] - 1/4 + 9/2
Now, let's focus on the first term, (x + 1/2)^2:
(x + 1/2)^2 = (1/2)^2 * (1 + 2x + x^2)
= 1/4 + x/2 + (1/2) * x^2
Substituting this back into our expression for f(x), we get:
f(x) = 24 * [(1/4 + x/2 + (1/2) * x^2)] - 1/4 + 9/2
= 6 + 12x + 6x^2 - 1/4 + 9/2
= 6 + 12x + 6x^2 + 17/4
= 6 + 12(x - (-1/2)) + 6(x - (-1/2))^2
This final expression is in the form of a power series, with:
c0 = 6
c1 = 12
c2 = 6
c3 = 0
c4 = 0
c5 = 0
and:
x0 = -1/2
So the power series for f(x) is:
f(x) = 6 + 12(x - (-1/2)) + 6(x - (-1/2))^2 + ∑(k=3 to infinity) [ck * (x - (-1/2))^k]
Note that since ||<1, this power series converges for all x in the interval (-1, 0) U (0, 1).

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Answer:

9 cards

Step-by-step explanation:

Mike will have to give Ali 9 cards

Mike 25 -9 = 16

Ali 55 + 9 = 64

you can see that Ali 4 times as many cards as mike

64 : 16

4 : 1

Answer:

1/-2

Step-by-step explanation:

Slope formula

\(\frac{y2-y1}{x2-x1}\)

Plug in your numbers

\(\frac{4-1}{-8-(-2)}\)

(-8-(-2) would turn into -8+2 because they are both negative.

\(\frac{4-1}{-8+2} = \frac{3}{-6}\)

Simplify.

Answer:

Step-by-step explanation:

2kg/m² convert to g/100cm²

1 kg=1000 g

2kg=  ???

2*1000=2000kg

m      ⇒      100cm

m²     ⇒      10000 cm²

2kg/m²=2*1000/(10000/100) cm²

=2000/100 cm²

250*1000=250000

1 hectare=10000 m²

250000/10000 g/m²

The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

What is an explicit formula?

The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.

Here, we have

Given:  the sequence 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Hence,  the explicit formula is aₙ = 2n + 12.

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Answer:

D

Step-by-step explanation:

30 from the beginning of the week plus 50 that you bought.

80-x=30

50=x

Answer is D

Answer:50

Step-by-step explanation:

30+50=80

80-30=50

So he sell 50

Answer:

Look at step by step

Step-by-step explanation:

i is √-1 So A√B = √98

If both A and B must be more than 1 and has to be an integer, with a little guessing, we can get that A = 7 and B = 2, but other requirements and there will be too many possible solutions

Answer:

Inequality Form:

t < −7

Interval Notation:

(−∞,−7)

Answer:

t < -7

t ∈ ( -∞, -7 )

Step-by-step explanation:

-4 ( 3t - 9 ) > 8 ( 8 - t )

1. Distribute

-4 ( 3t - 9 ) > 8 ( 8 - t )

-12t + 36 > 64 - 8t

2. Inverse operations ans simplifying

-12 t + 36 > 64 - 8t

+12t                  + 12t

36 > 64 + 4t

-64   -64

-28 > 4t

/4     /4

-7 > t

Answer:

Step-by-step explanation:

Given:

The total of last 3 is $345, it means the total of the first 14 is:

Use the sum of the first n terms formula, consider the first term is a and common difference is d:

Find it at n = 14 and n = 17:

Subtract the equations and solve for d:

Find the value of a:

Hi there.

The solution is attached as image.

Please check

Answer:

B. 259.8 u²

Step-by-step Explanation:

The area of a regular hexagon is given as:

\( Area = \frac{3\sqrt{3} }{2} a^{2} \)

Where a = side length of the hexagon

Thus, the area of the regular hexagon with a given side length, a = 10, is calculated as follows:

\( Area = \frac{3\sqrt{3} }{2} a^{2} \)

\( Area = \frac{3\sqrt{3} }{2}* 10^{2} \)

\( = \frac{3\sqrt{3} }{2}* 100 \)

\( = \frac{3*1.7321 }{2}* 100 \)

\( = \frac{5.1963 }{2}* 100 \)

\( = \frac{519.63 }{2} \)

\( Area = 259.815 \)

The area of the regular hexagon ≈ 259.8 u²

Let a represent the volume of solution A. If it contains 2% of alcohol, then the amount of alcohol that A contains is 2/100 * a = 0.02a

If A = 200, then the amount of alcohol in A is 0.02 * 200 = 4

Let b represent the volume of solution B. If it contains 7% of alcohol, then the amount of alcohol that B contains is 7/100 * a = 0.07b

The total volume of solution A and B is (a + b)

If the volume of A = 200, then the total volume or resulting mixture is 200 + b

If the mixture contains 5% alcohol, the the amount of alcohol in the mixture is

5/100 * (200 + b)

0.05(200 + b)

By equating the concentrations, we have

4 + 0.07b = 0.05(200 + b)

4 + 0.07b = 10 + 0.05b

0.07b - 0.05b = 10 - 4

0.02b = 6

b = 6/0.02

b = 300

She needs to use 300 milliliters of solution B

Answer:

The answer is 11 1/4.

Step-by-step explanation:

The value of 3m can be found by multiplying 3 by 3 and 3/4 by 3. We get 9 and 9/4 there. Then we simplify 9/4 into 2 1/4 and say the answer is 11 1/4.

The factor that provides the basis for the grading of newly diagnosed malignant tumours is degree of differentiation.

The level of differentiation impacts an individual's capacity to control their emotions, thoughts, individuality, and connections to others. The degree of any differential equation can be obtained when it is expressed as a polynomial; otherwise, the degree cannot be defined.

The mechanisms by which immature cells develop into mature cells with particular roles are described in biology. This indicates the degree to which tumour tissue resembles the healthy tissue from which it originated in the context of cancer. Compared to poorly or undifferentiated cancer cells, well-differentiated cancer cells resemble normal cells more and grow and spread more slowly. Tumour grading systems, which vary for each form of cancer, use differentiation.

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Answer:

Slope = (1/3)

Step-by-step explanation:

Point 1: (0, 2); Point 2: (3, 3)

             (x₁, y₁)              (x₂, y₂)

        y₂ - y₁        3 - 2           1

m = ----------- = ------------ = ---------

         x₂ - x₁        3 - 0          3

y - y₁ = m(x - x₁)

y - 2 = (1/3)(x - 0)

y - 2 = (1/3)x - 0

  +2              +2

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

y = (1/3)x + 2

I hope this helps!

Given:

Diagram Shows a Square (6x-1)cm (4x+6)cm.

To find:

The length of the side of the square.

Solution:

We know that, all sides of a square are equal. So,

\(6x-1=4x+6\)

\(6x-4x=1+6\)

\(2x=7\)

Divide both sides by 2.

\(x=\dfrac{7}{2}\)

\(x=3.5\)

Now, the side of the square is

\(Side=6x-1\)

\(Side=6(3.5)-1\)

\(Side=21-1\)

\(Side=20\text{ cm}\)

Therefore, the length of the side of the square = 20 cm.

Answer:

Given:

Diagram Shows a Square (6x-1)cm (4x+6)cm.

To find:

The length of the side of the square.

Solution:

We know that, all sides of a square are equal. So,

Divide both sides by 2.

Now, the side of the square is

Therefore, the length of the side of the square = 20 cm.

lol

Step-by-step explanation:

Answer:

Three consecutive multiples are 110,121 and 132 which has the sum of 363. 33C = 363; C = 33, By substituting C = 33 in numbers 11C, 11(C – 1) and 11(C + 1) we get values 110, 121, 132.

Answer:

-1

Step-by-step explanation:

h(x) means y so find where y is -3, then you have to go over to -1 (the x coordinate)

we randomly select two people, drawing without replacement , the  probability of getting 2 females: a) = 1/7 ( = 0.1429) , b) = 9/49 ( = 0.1837 ).

a)  Without replacement,

2 female can be selected from 3 female by \(3C_{2}\) ways.

P(2 female) = \(3C_{2} / 7C_{2}\)

= 1/7 ( = 0.1429)

b)  With replacement,

P(female) = n(female) / total people.

= 3 / 7

P(2 female) = 3/7 * 3/7

= 9/49 ( = 0.1837 )

Probability is basically the way that logical something is to occur. Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific outcomes — how likely they are. The investigation of occasions administered by probability is called statistics.

By and large, the probability is the proportion of the quantity of positive outcomes to the absolute outcomes in that example space. It is communicated as, Probability of an occasion P(E) = (Number of good outcomes) ÷ (Test space).

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Answer:

vertex = (- 4, - 5 )

Step-by-step explanation:

The standard form of the absolute function is

y = a | x - h | + k

where (h, k ) are the coordinates of the vertex

g(x) = 2 | x + 4 | - 5 ← is in standard form

with vertex (h, k ) = (- 4, - 5 )

The correct answer is (b) all real numbers except odd multiples of π/2. The domain of validity for cscθ (cosecant) is restricted because cosecant is undefined when the sine of an angle is zero.

In the trigonometric identity cscθ = 1/sinθ, the denominator sinθ becomes zero at odd multiples of π/2 (such as π/2, 3π/2, 5π/2, etc.), resulting in a division by zero error. Therefore, the cosecant function is not defined for these values of θ.

For all other real numbers θ, the sine function is non-zero and well-defined, allowing us to calculate the reciprocal of the sine and determine the value of the cosecant. Hence, the domain of validity for cscθ is all real numbers except odd multiples of π/2, as stated in option (b).

It's important to note that in trigonometry, the domain of validity is determined by avoiding any values that would lead to undefined expressions or division by zero errors.

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The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π, because at these points the sine function equals zero, and division by zero is undefined.

In mathematics, the cosecant function (csc), is defined as the reciprocal of the sine function, or 1/sinθ. The domain of a function are all the possible input values that will yield real numbers (output). For the csc function, its domain includes all real numbers except where the denominator is zero because division by zero is undefined.

In the unit circle context, sine equals zero at 0, π, 2π, ..., and the negative counterparts. Basically, these are the multiples of π. Thus, for the csc function, the domain is all real numbers except multiples of π, which matches option d in your choices.

The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π.

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Answer:

y = 1/3x - 2:

y = 12 - 6x:

y = 3x - 7:

Step-by-step explanation:

Hello!

The slope-intercept form of a line is \(y = mx + b\)

The y-intercept is the "b" value of the line, given as -2.

To find the x-intercept, we simply replace the y-value with 0:

y - intercept: - 2

x - intercept: 6

____________________________________________________

You can rearrange the equation, y = -6x + 12, to find the y-intercept: 12.

Solving for the x-intercept (remember, replace y with 0):

y - intercept: 12

x - intercept: 2

____________________________________________________

Simply take the "b" value, -7, to find the y-intercept of -7.

Solve for the x-intercept:

y - intercept: -7

x - intercept: 7/3

Additional Note:

You can also solve for the y-intercept by replacing x with 0. This method can be used for any interests, just plug in the opposite variable from what you are solving for with 0.

The proof is that the x-intercept is the value when the y = 0, the x-axis. You can plug in 0 for y to solve for x. Similarly, when solving for the y-intercept, you plug 0 for x as the y-axis is at x = 0.

Answer: The most amount of cupcakes she can buy is 16.

Step-by-step explanation: 1.50 multiplied by 16 equals 24

Solution

For this case we can use the following formula:

where:

P= 200

r= 0.09

n = 4

t= 4

And solving we got:

Vector is the quantity that has magnitude as well as direction. The component form of the vector that translates P(-3,6) to P'(-4,8)  is -i + 2j.

A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.

The sum of two vector quantities is always a vector quantity.

The sum of two vector quantities can vary from their scalar difference to their scalar addition.

The given points are P(-3,6) to P'(-4,8) .

The vector component form of two points (x₁,y₁) and (x₂,y₂) is given by ,

(x₂-x₁)i + (y₂-y₁)j

Therefore, The vector component form of given points are,

(-4-(-3))i + (8-6)j

-i + 2j.
Hence "The component form of the vector that translates P(-3,6) to P'(-4,8) -i + 2j.

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