The second number is 2 less than the first number and the 3rd number is 1 less than the 4th number.

The number of days would be 10 and the maximum percent of the population infected would be 25.752%.

What are exponential functions?

The exponential function, denoted by \(e^x\), is a mathematical function. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.

\(p(t) = 7te^{-\frac{t}{10}}\)

percentage of infected people a maximum when p '(t) = 0

                    \(p '(t) = 7(1)e^\frac{-1}{10} +7te^\frac{-t}{10}(\frac{-1}{10})\\\\p'(t)=e^{-\frac{t}{10}}(7 -\frac{7t}{10})\\\\e^{-\frac{t}{10}}(7 -\frac{7t}{10})=0\\\\7 -\frac{7t}{10}=0\\\\t = 10\)

Hence percentage of infected people reaches a maximum after 10 days

maximum percent of the population infected = p(10)

    \(p(10) = 7(10)e^{-\frac{10}{10}}\\\\p(10)=\frac{70}{e}\\\\P(10)=25.752\%\)

Hence, the number of days would be 10 and the maximum percent of the population infected would be 25.752%.

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A. Equation to represent the hanger is 5(x)+2=17

B. We remove two from the right to balance the left side. 5x minus 2 equals 5 x's and 17-2=15. The balances hanger represents an equation that would be 5x=15. 5 x's would be 15÷5 which would give us 5 groups of 3. 15÷5=3 so, one of the x's equals 3. So, x=3

Sorry I couldn't do C. I am so sorry... :(

If a certain pregnancy had a z-score of -2.5 with mean 266 days and standard deviation 16 days , the pregnancy lasted 230 days.

We know that the length of human pregnancies can be modeled by a normal distribution with a mean of 266 days and a standard deviation of 16 days.

We are also given that a certain pregnancy had a z-score of -2.5. The z-score is a measure of how many standard deviations a data point is away from the mean. A negative z-score means that the data point is below the mean.

We can use the formula for converting a z-score to an actual value in a normal distribution:

z = (x - mu) / sigma

where z is the z-score, x is the actual value we want to find, mu is the mean, and sigma is the standard deviation.

Plugging in the given values, we get:

-2.5 = (x - 266) / 16

Solving for x, we get:

x = (-2.5 * 16) + 266 = 230

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The cost of one small popcorn is $23.60. The total amount spent by the group of friends is $83.60, and each ticket costs $7.50.

To find the cost of one small popcorn, we can subtract the total cost of the tickets from the total amount spent by the group of friends.

The total amount spent by the group of friends is $83.60, and each ticket costs $7.50. Let's calculate the cost of one small popcorn:

Cost of one small popcorn = Total amount spent - (Number of tickets * Cost per ticket)

Cost of one small popcorn = $83.60 - (8 * $7.50)

Calculating further:

Cost of one small popcorn = $83.60 - $60

Cost of one small popcorn = $23.60

Therefore, the cost of one small popcorn is $23.60.

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The equation of the surface in spherical coordinates is r cos φ = 9.

(a) To find an equation of the surface in cylindrical coordinates, we can use the conversion formulae;

x = r cos θ, y = r sin θ, and z = z.r = √(x² + y²)

The equation of the surface is given by:

z = 3x² + 3y²

And the equation of the surface in cylindrical coordinates can be written as:

r² cos² θ + r² sin² θ

= 4z = 3x² + 3y²

= 3r² cos² θ + 3r² sin² θ

= 3r²(r² cos² θ + r² sin² θ) = 12

= r² = 12/3= r² = 4

Therefore, the equation of the surface in cylindrical coordinates is r² = 4.

(b) To find an equation of the surface in spherical coordinates, we use the conversion formulae;

x = r sin φ cos θy = r sin φ sin θz = r cos φ

The equation of the surface is given by:

z = 3x² + 3y²

And the equation of the surface in spherical coordinates can be written as:

r cos φ = 3r² sin² φ cos² θ + 3r² sin² φ sin² θ= 3r² sin² φ (cos² θ + sin² θ)

= 3r² sin² φ= 9

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Answer:

610° and 970°

Step-by-step explanation:

to find coterminal angle add/ subtract 360° to the terminal angle.

in this case 2 positive measures are required to add 360°, that is

250° + 360° = 610° ( add 360° to this value )

610° + 360° = 970°

the next 2 positive coterminal angles are 610° and 970°

The value of the given expression will be 3√5.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression c² = 45 will be solved as below:-

c² = 45

Take the square root of the number 45.

c = √45

c = √ 9 x √5

c = 3√5

Therefore, the value of the given expression will be 3√5.

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This scenario describes a foodborne illness outbreak investigation, where several individuals with similar symptoms of food poisoning have been identified and traced back to a nearby restaurant.

In this situation, the local hospital has encountered multiple cases of individuals exhibiting symptoms consistent with food poisoning. Through interviews, it is discovered that all of them have recently dined at a nearby restaurant, indicating a potential common source of exposure. To further investigate and identify the cause of the illness outbreak, samples from the restaurant's food are collected.

These samples will undergo laboratory testing to check for the presence of pathogens, such as bacteria or viruses, that may be responsible for the foodborne illness. By analyzing the test results, health authorities can pinpoint the specific pathogen and take appropriate measures to prevent further spread and ensure the safety of the community.

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Answer:

<1 and <2 are remote interior angles of <6

<2 and <3 are remote interior angles of <4

Answer:

21

Step-by-step explanation:

21/3 = 7

Answer: B

Step-by-step explanation:

When you distribute the number to the equation you want to be able to eliminate a variable when you add.

a. not right you get 2x for your first term if you added it to the next equation you get 4x which does not eliminate x

b. is right, you get -2x +2x = 0 this is what you want

c. not right, you get -2x but added to the first  -2x+x \(\neq\) 0

d. not right -4x +x \(\neq\) 0

For the information given in the statement you have:

Then, the equation is

Now for the number of hip-hop songs, you can solve for x the equation

Then, the number of hip-hop songs is 12.

Therefore, the correct answer is B.

For the given system of equations 3x + 2y = 19 and x + y = 8 , the value of y is equal to 5.

As given in the question,

Given system of equations are :

3x + 2y = 19   ___(1)

x + y = 8        ___(2)

Simplify the given system of equations to get the value of y we have,

Multiply equation (2) by 3 and eliminate variable x by subtracting (1) from it and get the value of y ,

3x + 3y = 24

3x + 2y = 19

0x + 1y = 5

This implies y is equal to 5.

Therefore, for the given system of equations 3x + 2y = 19 and x + y = 8 , the value of y is equal to 5.

The complete question is :

Simplify the given system of equations to find the value of y:

3x + 2y = 19 and x + y = 8.

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Answer:

That would be 48 ounces

Step-by-step explanation:

Answer:

48 ounces

Step-by-step explanation:

Thank me later

The limit of f(x, y) as (x, y) approaches (0, 0) exists and is equal to 0.

To evaluate the limits of the function f(x, y) = 22 as (x, y) approaches the origin, we can substitute the given values into the function and observe the results.

Let's consider each case separately:

(a) The x-axis: When approaching the origin along the x-axis, the value of y remains constant at 0. Thus, we substitute y = 0 into the function:

f(x, 0) = 2x²

Taking the limit as x approaches 0:

lim (x → 0) 2x² = 2(0)² = 0

(b) The y-axis: When approaching the origin along the y-axis, the value of x remains constant at 0.

Substituting x = 0 into the function:

f(0, y) = 2(0)² = 0

Taking the limit as y approaches 0:

lim (y → 0) 2(0)² = 0

(c) The line y = mx: Here, we consider the limit as (x, y) approaches (0, 0) along the line y = mx.

We substitute y = mx into the function:

f(x, mx) = 2x²

Taking the limit as (x, mx) approaches (0, 0):

lim ((x, mx) → (0, 0)) 2x² = 2(0)² = 0

(d) The parabola y = ax²:

In this case, we consider the limit as (x, y) approaches (0, 0) along the parabola y = ax².

Substituting y = ax² into the function:

f(x, ax²) = 2x²

Taking the limit as (x, ax²) approaches (0, 0):

lim ((x, ax²) → (0, 0)) 2x² = 2(0)² = 0

In all cases, the limit of f(x, y) as (x, y) approaches the origin is 0. Therefore, we can conclude that the limit of f(x, y) as (x, y) approaches (0, 0) exists and is equal to 0.

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D. The graph of g(x) is translated 5 units to the left compared to the graph of f(x).

9.235

"nine and two hundred thirty-five"

You're going to start with the number(s) before and which would be 9 in this case then lake your number(s) after the and, the number would be 235 in this case now you have 9 and 235 replace the and for a decimal and you will get your answer :) 9.235

Answer:

x=60

Step-by-step explanation:

X+2x=180degree because it is co interior angle

3x=180

X=180/3

X=60.

Verification

X+2x=180

60+2(60)=180

60+120=180

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

40

Step-by-step explanation:

3(-4)^2 + 2(-4)

3(16) - 8

48-8

40

Answer:

No , they are not

Step-by-step explanation:

Checking the ratios:

32/48 = 0.67

48/80 = 0.6

80/150 = 0.53

Since the values are not equal, they are not in proportion.

Answer:

32, 48, 80, and 150 are not in proportion.

Step-by-step explanation:

To determine if 32, 48, 80, and 150 are in proportion, we need to check if the ratio of any two numbers is equal to the ratio of any other two numbers in the set.

Let's check:

Ratio of 32 to 48: 32/48 = 2/3

Ratio of 48 to 80: 48/80 = 3/5

Ratio of 80 to 150: 80/150 = 8/15

Since the ratios are not equal, 32, 48, 80, and 150 are not in proportion.

The correct answer is option B. No value of k will make AB = BA

To check whether AB = BA, we need to multiply the matrices AB and BA and see if they are equal.

AB = [ 2 3-1 1] [ 2 9-3 k ]

[ 1 0 2 ] [ 0 0 1 ]

= [ 4 + 3(0) - 2k 18 - 9(0) - 3k ]

[ 0 + 0 + 2 0 + 0 + 1 ]

= [ 4 - 2k 18 - 3k ]

[ 2 1 ]

BA = [ 2 9-3 k ] [ 2 3-1 1]

[ 0 0 1 ] [ 1 0 2 ]

= [ 4 + 27 - 6k 6 - 3k - 3 ]

[ 1 0 ]

= [ 31 - 6k 3 - 3k ]

[ 1 0 ]

For AB = BA, we need to have

4 - 2k = 31 - 6k and 18 - 3k = 3 - 3k

Solving the first equation gives k = 9, and substituting k = 9 into the second equation gives 15 = 0, which is not true. Therefore, there is no value of k that makes AB = BA.

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Answer:

\(n + d = 368\)

\(0.05n + 0.10d = 28.40\)

Step-by-step explanation:

Given

\(Total = 368\)

\(Value = \$28.40\)

Required

Determine the linear equations to represent the scenario

Represent nickel with n and dimes with d

So, the total is:

\(n + d = 368\)

\(1\ nickel = \$0.05\)

\(1\ dime = \$0.10\)

So, the value is:

\(0.05n + 0.10d = 28.40\)

Hence, the linear equations are:

\(n + d = 368\)

\(0.05n + 0.10d = 28.40\)

The system of linear equations and solution can be used to represent the number of nickels and dimes Matthew has in his collection is n + d = 368 0.05n + 0.1d=28.4  168 nickels and 200 dimes.

Given that,

Based on the above information, the calculation is as follows:

n + d = 368

So,

d = 368 - n

And,

0.05n + 0.10d = 28.40

0.05n + 0.10(368 - n) = 28.40

0.05n + 36.8 - 0.10n = 28.40

0.05n = 8.4

n = 168

So, d = 368 - 168

= 200

Therefore we can conclude that the correct option is A.

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To find the volume of the solid e that lies above the cone z, we will use spherical coordinates.

First, we need to define the cone z. We know that it is a cone, so it has a circular base with radius r and height h. We can write the equation of the cone as:

z = h - √(x^2 + y^2)

Next, we need to find the limits of integration for the spherical coordinates. We know that the solid e lies above the cone z, so the limits for the radial coordinate will be r = 0 to r = h. For the polar coordinate, we can choose any angle since the solid is symmetric about the z-axis. Let's choose θ = 0 to θ = 2π. For the azimuthal angle, we need to find the limits based on the cone z. We know that the cone intersects the sphere at the point (0, 0, h), so the azimuthal angle will go from 0 to the angle Φ such that z = 0:

0 = h - √(r^2 sin^2 Φ)
r^2 sin^2 Φ = h^2
sin^2 Φ = h^2/r^2
Φ = arcsin(h/r)

Therefore, the limits for the azimuthal angle will be Φ to π/2.

Now, we can set up the integral for the volume V:

V = ∫∫∫ r^2 sin Φ dr dΦ dθ
V = ∫0^h ∫Φ^π/2 ∫0^2π r^2 sin Φ dr dΦ dθ

Evaluating this integral gives:

V = (1/3)πh^3

Therefore, the volume of the solid e that lies above the cone z is (1/3)πh^3, which is the volume of a cone with height h and base radius h.

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The probability that a bridge hand will have exactly 2 queens is 0.45%.

To find the probability of getting a bridge hand with exactly 2 queens, we need to use the binomial probability formula. The formula is:

P(exactly k successes) = (n choose k) * p^k * (1-p)^(n-k)

Where:

n is the total number of trials

k is the number of successes in the trials

p is the probability of success in a single trial

In this case, the total number of trials is 13 (since a bridge hand consists of 13 cards), and the number of successes we want is 2 (since we want exactly 2 queens). The probability of success in a single trial is the probability of drawing a queen, which is 4/52 (since there are 4 queens in a deck of 52 cards).

Plugging these values into the formula, we get:

P(exactly 2 queens) = (13 choose 2) * (4/52)² * (48/52)¹¹

= (78) * (1/169) * (4/13)¹¹

= (4/169) * (4/13)¹¹

This simplifies to:

P(exactly 2 queens) = (4/169) * (4/13)¹¹

= (4/169) * (4/169)¹¹

= (4/169)¹²

The final probability is approximately 0.0045 or 0.45%. This means that the probability of getting a bridge hand with exactly 2 queens is quite low.

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Answer:

-8/7

Step-by-step explanation:

In fraction form, division means reversed multiply.

You have -3/7 divide 3/8 which also means -3/7 multiply by 8/3, which will be -24/21. The common factor of 24 and 21 is 3 so we simplify both the numerator and denomitator by 3 and the final answer will be -8/7.

The probability of getting 150 customers in one day is 0.0010 or 0.10%.

The Poisson distribution can be used to model the number of events occurring in a fixed interval of time or space when the average number of events is known.

Since the average number of customers per day at the clothing store is 120, we can use the Poisson distribution to calculate the probability of getting 150 customers in one day.

The Poisson distribution is given by the formula:

P(X = k) = (λ^k)(e^-λ) / k!

where λ is the average number of events per interval and k is the number of events we are interested in.

Substituting the values, we get:

P(X = 150) = (120^150)(e^-120) / 150! = 0.0010 (rounded to four decimal places)

So the probability of getting exactly 150 customers in one day is approximately 0.0010 or 0.10%.

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Answer: 0

I didn't see an 'x' so I was very confused but I simplified and got "0"

Step-by-step explanation:

\(\sqrt{93}\approx 9.64365\)