In the early stages of a measles epidemic, 100 people were infected, and each day the number increased by 10%.
a) Write the formula to find the number of infected in relation to the time elapsed.
b) How many people become infected after:
* Two days
* After a week

Answer:

Math mode activated

Step-by-step explanation:

The number of machines that become inoperative during a given day follows a binomial distribution with parameters n = 100 (the number of machines) and p = 0.002 (the probability that a machine will become inoperative).

The probability that fewer than two machines will be inoperative during a particular day is the sum of the probabilities that zero or one machine will be inoperative. This can be calculated using the binomial probability mass function as follows:

P(X < 2) = P(X = 0) + P(X = 1)

= (100 choose 0) * (0.002)^0 * (1 - 0.002)^100 + (100 choose 1) * (0.002)^1 * (1 - 0.002)^99

= 1 * 1 * 0.817 + 100 * 0.002 * 0.818

= 0.817 + 0.164

= 0.981

Therefore, the probability that fewer than two machines will be inoperative during a particular day is approximately 0.981.

The simplified form of the given expression is 8x+7

From the question, we are to write the simplified form of the given expression

The given expression is

3x+4+5x+3​

3x+5x+4+3

8x+7

Hence, the simplified form of the expression is 8x+7

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Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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Answer:

a and d

Step-by-step explanation:

..... trust me ..... .....

Answer:

plug n and r into the equation for the answers.

Step-by-step explanation:

Where the above is given, Option B has the highest overall cost by  $685.50.

To find the   option would result in the highest overall cost for the employee, we need to calculate the total cost under each option.

Option A

Monthly premium: $94

Prescription coverage: 80%

Total cost under Option A

Monthly premium: $94

Prescription costs covered: 80% of $1,250

= $1,000 (since the employee estimates filling 10 prescriptions totaling $1,250)

Employee's portion of prescription costs: 20% of $1,250 = $250

Overall cost  = $94 + $250 = $344

Option B

Monthly premium $42

Prescription coverage  75% for first $500, then 85% for costs over $500

Total cost under Option B

Monthly premium: $42

Prescription costs covered up to $500: 75% of $500 = $375

Prescription costs covered over $500is

85% x  ($1,250 - $500)

= 85% of $750

= $637.50

Employee's portion of prescription cost is
($1,250 - $375) + ($750 - $637.50)

= $875 + $112.50

= $987.50

Overall cost: $42 + $987.50 = $1,029.50

Hence Option B has the highest overall cost by $1,029.50 - $344 = $685.50.

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5 possibilities (red, blue, green, pink, or grey) divided by 2 options (desktop or laptop) is 10. Andrés has ten options for purchasing the computer.

The likelihood or chance of an event occurring is measured by probability. It is a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty for the event.By dividing the entire number of possible outcomes by the number of ways an event could occur, one can determine the probability of an occurrence. Since there is only one way to roll a 3 out of six possible outcomes, the probability of rolling a 3 on a fair six-sided die is 1/6. Probability can be used to assess uncertainty surrounding an occurrence and create predictions. It is utilised in a variety of industries, including banking, science, engineering, mathematics, and statistics.

given

Andrés can either get a desktop computer or a laptop. He has five options for the colour of the computer for each selection.

As a result, Andrés has the following options for purchasing the computer:

5 possibilities (red, blue, green, pink, or grey) divided by 2 options (desktop or laptop) is 10. Andrés has ten options for purchasing the computer.

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The complete question is:-  Andrés wants to buy a computer and finds that there is a desktop and a laptop with the colors red, blue, green, pink and gray. How many ways will Andrés have to buy the computer?

Answer:

-9 / 14

Step-by-step explanation:

Product means multiply
3/4 x -6/7 = -9 / 14

Answer:

-18/28 which simplifies to -9/14

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

1.

What happens when negative adds to negative; e.g (-a) + (-b)

First, we need to simplify the expression

\((-a) + (-b)\)

Open the brackets

\(-a - b\)

Factorize

\(-(a+b)\)

So, what happens is that: the two numbers are added together and the result is negated;

E.g.

\((-5) + (-3) = -(5 + 3) = -8\)

2.

What happens when positive is added to negative; e.g. a + (-b)

First, we need to simplify the expression

\(a + (-b)\)

Open the brackets

\(a - b\)

So, what happens is that: the negative number is subtracted from the positive number

And Yes; \(a + (-b)\) is the same as \(a - b\) (As shown above)

E.g.

\(5 + (-3) = 5 - 3 =2\)

3.

What happens when to positive minus a negative; e.g. a - (-b)

First, we need to simplify the expression

\(a - (-b)\)

Open the brackets

\(a + b\)

So, what happens is that; the two numbers are added together.

E.g.

\(5 - (-3) = 5 + 3 = 8\)

4.

What happens when negative minus a negative; e.g. (-a) - (-b)

First, we need to simplify the expression

\((-a) - (-b)\)

Open the brackets

\(-a + b\)

Reorder

\(b - a\)

So, what happens is that; the first number is subtracted from the second.

E.g.

\((-5) - (-3) = 3-5 = -2\)

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

The sequence is arithmetic, so there is a constant difference d between consecutive terms such that

\(a_{100} = a_{99} + d\)

\(a_{100} = (a_{98} + d) + d = a_{98} + 2d\)

\(a_{100} = (a_{97} + d) + 2d = a_{97} + 3d\)

and so on, down to

\(a_{100} = a_1 + 99d\)

(notice the pattern of 100 = 99 + 1 = 98 + 2 = 97 + 3 = … = 1 + 99)

Solve for d :

\(307 = 15 + 99d \implies 99d = 292 \implies d = \dfrac{292}{99}\)

Now, the sum of the first 100 terms of this sequence is

\(\displaystyle \sum_{n=1}^{100} a_n = \sum_{n=1}^{100} \left(15 + \frac{292}{99}(n-1)\right) = \boxed{16100}\)

which follows from the well-known sums

\(\displaystyle \sum_{n=1}^N 1 = N\)

\(\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2\)

Answer:

33 days

Step-by-step explanation:

Divide $899.00 by 27 days.

Sorry if Im wrong

The solution to x^2 - 4x = 5 is x = -1 or 5

The equation is given as:

x^2 - 4x = 5

Take the coefficient of x

k = -4

Divide by 2

k/2 = -2

Square both sides

(k/2)^2 = 4

Add this value to the sides of the equation

x^2 - 4x + 4= 5 + 4

Express as a difference of two squares

(x - 2)^2 = 9

Take the square root of both sides

x - 2 = ±3

Add 2 to both sides

x = 2 ± 3

Evaluate

x = -1 or 5

Hence, the solution to x^2 - 4x = 5 is x = -1 or 5

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Answer:

99000

Step-by-step explanation:

0.99 * 10 = 9.9

9.9 * 10 = 99

99 * 10 = 990

990 * 10 = 9900

9900 * 10 = 99000

Kevin's error is that he incorrectly identified the vertex of the parabola as (3, 2) instead of (2, 3), which resulted to the parabola opens downward. The correct vertex is at (2, 3) and the parabola opens upward.

You are correct that the vertex of the parabola can be determined using the equation f(x) = a(x - h)² + k, where the vertex is at (h, k). In this case, we have f(x) = -(x-2)² + 3, so the vertex can be found by setting x - 2 = 0, which gives x = 2. Plugging this value into the equation,

we get f(2) = -(2-2)² + 3 = 3, so the vertex is at (2, 3).

However, your reasoning for why h is positive is not correct. The expression x - h represents the horizontal distance from the vertex to any point on the parabola. So if x is greater than h, then the expression x - h will be positive, and if x is less than h, then the expression x - h will be negative. In this case, the vertex is at (2, 3), so we have h = 2. This means that any point to the right of the vertex will have a positive value of x - h, while any point to the left of the vertex will have a negative value of x - h.

Therefore, the correct explanation of Kevin's error is that he incorrectly identified the vertex as (3, 2) instead of (2, 3), and as a result, he also incorrectly concluded that the parabola opens downward. In fact, the parabola opens upward because the coefficient of the x² term, -1, is negative.

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Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.

Answer:

6

Step-by-step explanation:

because i know

Answer:

84, 105, 532, 42

Step-by-step explanation:

Multiply 48 by 7/4 = 84.

Multiply 75 by 7/5 = 105.

Multiply 76 by 7 = 532.

Multiply 21 by 2 = 42.

Answer:

(3,4)

Step-by-step explanation:

solve for the first variable in one of equations

substitute result in other equation

Answer:

Step-by-step explanation:

6)For question 6 you have the right idea but as the new image is bigger than the pre-image the scale factor would be 3/1

7)You have the right answer but the fraction can be simplified to 2

8)I think this question is asking for the angle in the triangle on the left that is the same as the one on the right so from left to right,

F=R         G=S       H=T

FG=RS   GH=ST   FH=RT

9)The scale facto for the longest edge here is 2 but the scale factor for the shortest edge is 18/8 which is equal to 9/4 so the are not congruent as they have two different scale factors. Answer) no

10) the triangles are similar as angle a=n and 55+35+90 = 180 so yes they are similar

Hope this helps :)

Answer:

Step-by-step explanation:

Given,

As we know that the all sides of the square are equal.

Length of a square paper = 12 cm

Area of square = ?

Now, let's find the area of square

\( = {l}^{2} \)

plugging the value of length,

\( {(12)}^{2} \)

Evaluate the power

\( = 144\) square cm

Hope this helps...

Best regards!!

Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

Answer:

2^4   * 9^4

Step-by-step explanation:

(2*9)^4

We can take the power to each term inside the parentheses

2^4   * 9^4

Reccesive disorders are more  common because they are not easily eliminated by natural selection.

The autosomal dominant disorders refers to those disorders that have no gender preference and have possible male to male transmission.

The  autosomal dominant disorders are much more rare than the recessive disorders because they do not occur on a s-ex-linked chromosome. Note also that it is more common to have dominant mutations eleiminated by the process of natural selection.

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Answer:

A. f(x)=5cos(x+pi/4)

F. f(x)=5sin(x+3pi/4)

Step-by-step explanation:

Answer: 1. A, F

2. B. C , F

3.A,C

Step-by-step explanation:I just finished the practice

Answer: 2

Step-by-step explanation:

Answer:

I think it's 2kg

Step-by-step explanation:

13/5 ÷ 13/10

Reciprocate

13/5 × 10/13

= 26/13

=2kg

Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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