NEED HELP ASAP!!
Which equations represent exponential growth?
Which equations represent exponential decay?

Drag the choices into the boxes to complete the table.
Exponential Growth:
Exponential Decay:
y = 1700(1.25)^t
y =240(1/2)^t
y = 4000(1.0825)^t
y = 1.5(10)^t
y = 12,000(0.72)^t
y = 8000(0.97)^t

Answer:

26123 is the answer have a good day

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Given:

The graph that shows the ennoblement for college R between 1950 and 2000.

To find:

The two decades that has the greatest change in enrollment.

Solution:

From the given graph, it is clear that the change in the enrollment is:

From 1950 to 1960 is \(4-3.5=0.5\) thousand.

From 1960 to 1970 is \(5-4.5=1.5\) thousand.

From 1970 to 1980 is \(5.5-5=0.5\) thousand.

From 1980 to 1990 is \(6.5-5.5=1\) thousand.

From 1990 to 2000 is \(7-6.5=0.5\) thousand.

The two decades 1960-1970 and 1980-1990 have the greatest change in enrollment.

Answer:1980 to 1990

Step-by-step explanation:

Answer:

1/20 trust me

Step-by-step explanation:

pls

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

The different coordinates after respective rotation are:

1) A'(2, 0)

2) A'(0, -2)

3) A'(-2, 0)

There are different methods of transformation such as:

Translation

Rotation

Dilation

Reflection

Now, the coordinate of the given point A is: A(0, 2)

1) The rule for rotation of 90 degrees clockwise is:

(x, y) →(y,-x)

Thus, we have:

A'(2, 0)

2) The rule for rotation of 180 degrees is:

(x, y) → (-x,-y)

Thus, we have:

A'(0, -2)

3) The rule for rotation of 180 degrees is:

(x, y) → (-y,x)

Thus, we have:

A'(-2, 0)

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The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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Answer:

no solution

Step-by-step explanation:

In order to know how many shelves Yasmin needs we need to divide the number of books between the number of books per shelf

Then we round to the nearest bigger integer in this case 7

Yasmin will need 7 shelves

The probability that the student will answer 5 correct questions is; P(5) = 0.053

The formula for binomial probability is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

Where;

p = probability of success.

n = number of trials, or the sample size.

x = the number of successes in the probability we are trying to calculate.

Now, we want to find P(5). We are given;

n = 12

x = 5

p = 1/5 = 0.2

Thus;

P(5) = 12C5 * (0.2)⁵ * (1 - 0.2)⁽¹² ⁻ ⁵⁾

P(5) = 0.053

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The quantity of red blood cell that is in the sample would be = 42 × 10⁵

Blood cells are those vascular cells that makes up the circulating blood of living organism which includes the white blood cells and the red blood cells.

The amount of white blood cells = a

The amount of red blood cells = 6 x 10² (a)

The amount of white blood cells in the sample = 7 × 10³

Therefore the amount of red blood cell in that sample =

6× 10² × 7 × 10³ = 42 × 10⁵

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Answer:

See below ~

Step-by-step explanation:

1. D. cylinder

2. A. pyramid

3. E. rectangular prism

4. C. cone

5. F. cube

Based on the given triangle, we can find that:

First, we will focus on the triangle NLP. NLP is a right triangle, then we can use the formula of sinus to find the length of NP, where:

Sin ∠NLP = NP / LP

Sin 35° = NP / 20

0.57 = NP / 20

NP = 11.47

NP ≈ 11

Next, we will focus on triangle GLP. GLP is a right triangle with hypotenuse of 52 and the base of 20. Using the Phytagoras theorem we can try to find the triangle's height.

GL² = GP² + LP²

52² = GP² + 20²

2704 = GP² + 400

GP² = 2304

GP = 48

GP = GN + NP

48 = GN + 11

GN = 37

To find the size of angle ∠GLN, we have to find the size of angle ∠PGN first. We will use the Sines Law:

LP / sin ∠PGN = GL / sin ∠GPN

20 / sin ∠PGN = 52 / 1

sin ∠PGN = 20/52

∠PGN = 22.5°

∠PGN ≈ 23°

∠GLP + ∠GPL + ∠PGN = 180°

∠GLP + 90° + 23° = 180°

∠GLP = 67°

∠GLP = ∠GLN + ∠NLP

67° = ∠GLN + 35°

∠GLN = 32°

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Answer:

\(Probability = 0.467\)

Step-by-step explanation:

Given

\(Odds = 7 : 8\)

Required

Determine the probability of A winning

From the giving parameters,

7 represents A winning while 8 represents B winning.

The probability is calculated as thus:

\(Probability = \frac{A}{A + B}\)

\(Probability = \frac{7}{7 + 8}\)

\(Probability = \frac{7}{15}\)

\(Probability = 0.467\)

Hence, the probability if A winning is

\(Probability = 0.467\)

Using DeMoivre’s theorem, the answer in regular form would be (5 + 5√3i)⁷ = -5000000 + 8660254.03i

The De Moivre's Theorem is used to simplify the computation of powers and roots of complex numbers and is used in together with polar form.

Convert the complex number to polar form. The polar form of a complex number is z = r(cos θ + isin θ),

r = |z|  magnitude of z

it becomes

r = √((5)² + (5√3)²) = 10

θ = arg(z) is the argument of z.

θ = atan2(b, a) = atan2(5√3, 5) = π/3

(5 + 5√3i) = 10 × (cos π/3 + i sin π/3)

De Moivre's theorem to raise the complex number to the 7th power

(5 + 5√3i)⁷

= 10⁷× (cos 7π/3 + i sin 7π/3)

= 10⁷ × (cos 2π/3 + i sin 2π/3)

Convert this back to rectangular form:

Real part = r cos θ = 10⁷× cos (2π/3) = -5000000

Imaginary part = r sin θ = 10⁷ × sin (2π/3) = 5000000√3 = 8660254.03i

∴  (5 + 5√3i)⁷ = -5000000 + 8660254.03i

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Answer:10^7 (1/2 - √3/2 i)

Step-by-step explanation:

To use DeMoivre's theorem, we first need to write the number in polar form. Let's find the magnitude and argument of the number:

Magnitude:

|5 + 5√(3i)| = √(5^2 + (5√3)^2) = √(25 + 75) = √100 = 10

Argument:

arg(5 + 5√(3i)) = tan^(-1)(√3) = π/3

So the number can be written in polar form as:

5 + 5√(3i) = 10(cos(π/3) + i sin(π/3))

Now we can use DeMoivre's theorem:

(5 + 5√(3i))^7 = 10^7 (cos(7π/3) + i sin(7π/3))

To simplify, we need to find the cosine and sine of 7π/3:

cos(7π/3) = cos(π/3) = 1/2

sin(7π/3) = -sin(π/3) = -√3/2

Explanation:

So the final answer in rectangular form is:

10^7 (1/2 - √3/2 i)

Answer:

#6 slope is -1/2 and y intercept is 4

#8 slope is 1/3 and y intercept is -2

Step-by-step explanation:

The grams of cocoa does it contains is 36.57 grams

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

Weight of the chocolate bar = 69

Proportion = 53%

This implies that

Grams of cocoa = weight of the chocolate bar * Proportion

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

Grams of cocoa = 53% * 69

Evaluate the products

Grams of cocoa = 36.57

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If the integral is

\(\displaystyle \int (ax^2+2bx+c)^{3/2}(2ax+2b)\,\mathrm dx\)

substitute \(u = ax^2+2bx+c\) and \(\mathrm du=(2ax+2b)\,\mathrm dx\). Then you end up with

\(\displaystyle \int u^{3/2}\,\mathrm du = \frac25u^{5/2} + C\)

which in terms of x is

\(\boxed{\dfrac25(ax^2+2bx+c)^{5/2} + C}\)

Answer:

-3

Step-by-step explanation:

The hοle needs tο be 39 inches deeper.

A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.

The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).

Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:

6 feet - 2.75 feet = 3.25 feet

Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:

3.25 feet x 12 inches/1 fοοt = 39 inches

Therefοre, the hοle needs tο be 39 inches deeper.

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there are 19 possible values, there are 2 possible values, there are 3 possible values, there are 13 possible values.  the probability of getting a face card followed by a non-face card is much higher than the probability of getting a face card followed by another face card .

The sum of the numbers on the cards can take values from 2 (when both cards are Aces) to 20 (when both cards are Kings). Therefore, there are 19 possible values.

The number of times both cards are black can take values from 0 (when both cards are red) to 1 (when both cards are black). Therefore, there are 2 possible values.

The number of times both cards are 7s can take values from 0 (when neither card is a 7) to 1 (when both cards are 7s). Therefore, there are 2 possible values.

The number of times the first card is six and the second card is red can take values from 0 (when the first card is not a six or the second card is not red) to 2 (when both cards are sixes and both are red). Therefore, there are 3 possible values.

The number of times the first card is a face card and the second card is not a face card can take values from 0 (when both cards are not face cards) to 12 (when the first card is a King and the second card is an Ace, two, three, four, five, six, seven, eight, nine, or ten). Therefore, there are 13 possible values.

It is important to note that these values are not equally likely. For example, the probability of getting a sum of 2 is much lower than the probability of getting a sum of 7, since there is only one way to get a sum of 2 (both cards are Aces) but there are several ways to get a sum of 7 (one card is a 4 and the other card is a 3, or one card is a 5 and the other card is a 2, or both cards are 7s). Similarly, the probability of getting a face card followed by a non-face card is much higher than the probability of getting a face card followed by another face card, since there are more non-face cards in the deck than face cards.

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After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.

To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.

Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.

Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.

Experimental probability of heads: 160/300 = 0.5333

Experimental probability of tails: 140/300 = 0.4667

Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.

In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.

To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.

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The question probable may be:

Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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5.

y = -x + 5

6.  the point of contact is (-1, 6).

7.  the radius is √26

8. The standard form equation of a circle with center (h, k) and radius r is: (x - 2)^2 + (y - 3)^2 = 26

9. Line AB = AB

Line BC = BC

Line AC = AC

10. The equation of a circle with center (h, k) and radius r is:

(x - 4)^2 + (y + 3)^2 = 16^2

the equation of the line passing through (2, 3) with slope -1:

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

y - 3 = -x + 2

y = -x + 5

We can find the intersection point of this line and the given tangent line by solving the system of equations:

y = x + 7

y = -x + 5

When we add these equations, we have:

2y = 12

y = 6

We can then substitute into either equation gives x = -1.

Hence, the point of contact is (-1, 6).

We  find the radius, Using the distance formula, :

r = √[(2 - (-1))^2 + (3 - 6)^2] = √26

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Answer:

\(x=-\frac{4}{5}\)

Step-by-step explanation:

\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)

Answer:

A. there is nothing wrong with either division problem

Step-by-step explanation:

The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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Answer:

\(d^{2}\) - 16.

Step-by-step explanation:

To solve for the product of (d + 4) and (d - 4), we can use the FOIL method.

This means we multiply the first terms, then the outer, then the inner, and finally the last terms, then we add all the products together.

So, (d + 4) (d - 4) can be expanded like this:

Adding all of them together, we get: \(d^{2}\) - 4d + 4d - 16, which simplifies to \(d^{2}\) - 16.

Therefore, (d + 4)(d - 4) = \(d^{2}\) - 16.