Suppose that a community has CoViD-19 infection of 55 with a daily growth rate of 3%. If the rate doesn't change how many people are expected to have it in 11 days. (round up to the nearest integer)

Notice that x is a common factor for the first two terms, and that -3 is a common factor for the last two terms. Factor them out from the expression:

Now it is clear that the binomial (x+2) is a common factor for the expression. Factor out (x+2):

Therefore, the answer is:

Answer:

(x + 2)(x -3)

Step-by-step explanation:

x² + 2x - 3x - 6

In the expression (x² + 2x), x is the common factor, and take the common factor out. In the same way, (-3x - 6), (-3) is the common factor and take the common factor fromthe expression (-3x -6).

x² + 2x - 3x - 6 =  (x*x + 2*x) - 3x - 3*2

                          = x(x + 2) -3(x + 2)  {Now, the common factor is (x +2)}

                         =(x + 2)(x - 3)

The total cost to produce 6 items is $632.

We are given that;

c′(q)=2q2−q 100

Now,

The marginal cost function c’(q) gives the rate at which the total cost changes as the quantity produced changes. To find the total cost of producing 6 items, we need to integrate the marginal cost function from 0 to 6:

∫[0,6] c’(q) dq = ∫[0,6] (2q^2 - q + 100) dq

= [2/3 q^3 - 1/2 q^2 + 100q] from 0 to 6

= (2/3 * 6^3 - 1/2 * 6^2 + 100 * 6) - (2/3 * 0^3 - 1/2 * 0^2 + 100 * 0)

= $632

Therefore, by the function the answer will be $632.

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The perpendicular distance from the point P(9, 8, 5) ft to the plane defined by A(3,9, 2) ft, B( – 2, – 7, 6) ft, and C(2, 3, -1) ft is 2 ft.

We should track down the opposite separation from the point P(13, 6, 5) m to the plane characterized by the three focuses A(1,8, 4) m, B( − 4, — 6, 6) m and C ( - 4, 2, 3) m. The equation for the opposite distance is given by the distance of the point P (x1, y1, z1) from the plane Hatchet + By + Cz + D = 0 is given by the formula:|Ax1

= By1 + Cz1 + D|/√(A²+B²+ C²) So we initially decide the condition of plane ABC utilizing any two focuses, for example, An and B. Utilizing two focuses the condition of the line through An and B is : Simplifying, 6y - 8x + 10z - 40 = 0 or 3y - 4x 5z - 20 = 0 means that A = 3, B = -4, C = 5, and D = -20. y - 8 / 6y - 8 = (z - 4) / (4 - 8) x - 1 / (-4 - 1) = (y - 8) / (6 - 8)

The vertical distance formula is given by the distance of the point P (x1, y1), z1) from the plane Ax By Cz D = 0 is given by the formula:|Ax1 By1 Cz1 D| / (A2 + B2 +C2)So we first determine the equation of the plane ABC using any two points such as A and B. Using the two-point form, we get the equation of the line through A and B from the equation: Simplifying, 7y - 4x - 3z15 = 0So, A = 7, B = -4, C = -3, and D = -15. y - 9) / (9 - 2) = (z - 2) / (2 - 3)x - 3 / (3 - 2) = (y - 9) / (9 - 2)

The following results are obtained by entering these numbers into the preceding formula:|7 (9) - 4 (8) - 3 (5) - 15| / (72+ (-4)2 + (-3)2) = 274 / 74 = 2. Accordingly, the perpendicular distance that separates P(9, 8, 5) feet from A(3, 9), 2) feet, B (– 2, – 7, 6) feet, and C(2, 3, -1) feet is 2

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Answer:

Step-by-step explanation:

s + at = F

at = F - s

t = (F - s)/a

x/a + y/b = 1

x/a = 1 - y/b

a(x/a = 1 - y/b)

x = a - ay/b

Answer:

Tangent

Step-by-step explanation:

Given

\(\angle C = 50\)

See attachment for complete question

Required

Function to calculate BC

If AB is known, BC is calculated as:

\(\tan(C) = \frac{AB}{BC}\)

Substitute d for AB and 50 for C

\(\tan(50) = \frac{d}{BC}\)

Make BC the subject

\(BC = d * \tan(50)\)

Hence, BC can be found using tangent

Answer:

0.84306608

Step-by-step explanation:

The probability of an event, e, occurring exactly r times over n trials follows the formula

(n combination r) * p^r * q ^ (n-r)

with p being the probability the event will occur and q being the probability the event will not occur.

I assume you have a calculator/can find one online that can do combinations.

Here, we want to figure out if you get:

- 0 tails

- 1 tail

- 2 tails

If you get 3 or 4 tails, we are getting more than the 2 tails desired

For 0 tails:

- p is the probability a tail will occur = 0.38

- we want it to occur 0 times, so r = 0

- q is (1-p) = 1- 0.38 = 0.62

- we have 4 trials, as we flip it 4 times

(n combination r) * p^r * q ^ (n-r) = (4 combination 0) * (0.38) ^0 * (0.62) ^(4-0) = 1 * (0.38) ^0 * (0.62) ^(4-0) = 0.14776336

For 1 tail:

- p = 0.38, q = 0.62 as with 0 tails

- r = 1, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 1) * (0.38) ^1 * (0.62) ^(4-1) = 4* (0.38) ^1 * (0.62) ^(4-1) = 0.36225856

For 2 tails:

- p = 0.38, q = 0.62 as with 0 tails

- r = 2, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 2) * (0.38) ^1 * (0.62) ^(4-2) = 6* (0.38) ^2 * (0.62) ^(4-2) = 0.33304416

add our 3 probabilities together

0.33304416 + 0.36225856 + 0.14776336 = 0.84306608 as our answer

(x-5) = 23

7

cross multiply

23×7 = (x-5)

161 = X - 5

collect like terms

when a number with a minus sign passes an equal sign it turns to a positive number

161 + 5 = X

166 = X

166 is the answer

Answer:

the answer would be 178$

Step-by-step explanation:

find out the rest

Using complementary angles, it is found that the solution to the trigonometric equation is of x = 20.

Complementary angles are two angles whose measures add to 90º.

If two angles a and b are complementary, we have that the sine of one is the cosine of other, that is:

\(\sin{a} = \cos{b}\)

In this problem, the equation is:

\(\sin{(2x)} = \cos{(x + 30)}\)

Hence, they are complementary, which means that:

\(2x + x + 30 = 90\)

\(3x = 60\)

\(x = \frac{60}{3}\)

\(x = 20\)

The solution to the trigonometric equation is of x = 20.

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Answer:

Y = 0

Step-by-step explanation:

Y = -1/2 x²

To find y-intercept, substitute X = 0

Solve the equation for y

Y = 0

Answer:

1) Not a function 2) Function 3) Not a function 4) Not a function 5) Function

Step-by-step explanation:

The circumference of the circle with a radius of 18 inches is 36π inches.

To find the circumference of a circle, you can use the formula C = 2πr, where C represents the circumference and r is the radius. Given that the radius of the circle is 18 inches, we can substitute this value into the formula to calculate the circumference.

C = 2π(18)

C = 36π

This means that if you were to measure around the outer edge of the circle, it would be approximately 113.04 inches (since π is approximately 3.14159).

It's important to note that the value of π is an irrational number, meaning it cannot be expressed as a finite decimal or a fraction. Therefore, it is commonly represented by the Greek letter π.

In practical terms, when working with circles and calculations involving circumference, it is generally more accurate and precise to keep π in the formula rather than using an approximation.

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Answer:

answer is a

Step-by-step explanation:

jus took the test <3

The advantage of renting from the given four options given is said to be; A: Financial Risk

Renting is defined as an agreement where a payment is made for the temporary use of a good, service or property owned by another.

Now, renting could also be callled Hiring or Letting but then a gross lease is when the tenant pays a flat rental amount with the landlord paying for all property charges regularly incurred by the ownership.

Thus, one advantage of renting is financial risk.

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Answer:

it will always be even

Step-by-step explanation:

The sum of two numbers refers to the result of adding them together... For example, 2, 4, 6, 8 and 10 are all even numbers. Any number without 2 as a factor is odd, like 3, 5, 7 and 9.

brainliest please!

Apply the Binomial Probability Distribution, The Answer is 0.044.

The discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome is known as the binomial distribution with parameters n and p in probability theory and statistics.

The required formula is:

\(P(x)= C(n,x) p^{x}q^{n-x}\)

n=10

x=8

p(8)= \(C(10,8) * 0.5 ^ {8} *0.5 ^{2}\)

=0.044

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We can argue that the Pardoner is a good preacher and not a good person because he is very effective in convincing people of the things he says.

This matters to others because it leads to them doubting his authenticity.

In the Canterbury Tales, the Pardoner goes around selling official Church pardons to people that he berates for being sinful. The pardons will then be used to absolve them of their sins.

The Pardoner is an effective preacher because he actually convinces people that they are sinners. He is not a good person because he berates people only to make profit from them as well as trying to swindle them of other possessions.

This mattered to the others who doubted his authenticity because they believed he was simply telling them stories to sell them things.

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Using Unitary method, The double tennis court needed 47,792 cards to cover its area.

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two liters of fuel.

Given that :Playing card have length of 88 mm = 0.088 m

Playing card have width of 62 mm = 0.062 m

Area of playing card = 0.088 * 0.062 = 0.005456 m²

So 1 player card occupy 0.005456 m^2 area

Tennis court have length = 23.77 m

Tennis court have width = 10.97 m

Area of tennis court = 23.77 * 10.97

= 260.7569 m^20.005456 m^2

area occupy = 1 card260.7569 m^2

area occupy = 47,792 cards (approx)

Hence the double tennis court needed 47,792 cards to cover its area

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The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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The Solution:

Given:

Required:

Find the value of the given expression.

The value is:

Answer:

[option 4]

Answer:

31

Step-by-step explanation:

Answer:

22.45

Step-by-step explanation:

Answer: The correct answer is -132.64

Answer:

792.9 in²

Step-by-step Explanation:

Given:

Area of the base of the regular hexagonal prism box (B) = 85.3 in²

Each side length of hexagonal base (s) = 5.73 in

Height of prism box (h) = 18.10 in

Required:

Surface area of the wood used in making the hexagonal prism box

SOLUTION:

Surface area for any given regular prism can be calculated using the following formula: (Perimeter of Base × height of prism) + 2(Base Area)

Perimeter of the hexagonal base of the prism box = 6(5.73) (Note: hexagon has 6 sides.)

Perimeter of base = 34.38 in

Height = 18.10 in

Base area is already given as 85.3 in²

Surface area of the hexagonal prism box \( = (34.38*18.10) + 2(85.3) \)

\( = 622.278 + 170.6 = 792.878 in^2 \)

Surface area of the wood used in making the jewelry box ≈ 792.9 in²

The probability of getting at least one question wrong on a 7 question multiple-choice test with two answers for each question is 1 - (1/4)^7, which is approximately 99.2%.

The probability of getting one question wrong on a 7 question multiple-choice test with two answers for each question is 1/4. This is because there are two options for each question, and if you choose the wrong one, you get the question wrong. Therefore, the probability of getting all 7 questions wrong is (1/4)^7, or one in 16,384. The probability of getting at least one question wrong on the test is 1 - (1/4)^7, which is equal to 1 - 1/16,384, or approximately 99.2%. To calculate the probability of getting at least one question wrong, you subtract the probability of getting all 7 questions correct from 1. This is because if you do not get all 7 questions correct, then you must have gotten at least one question wrong.

The complete question: On a 7 question multiple-choice test, where each question has 4 answers, what would be the probability of getting at least one question wrong? Give your answer as a fraction

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Answer:

The answer is (C)

x=y+z+7

Answer:

option 6b):) is correct

The probability of obtaining between 9 and 14 heads is .0.0408

Probability:

in statistics, probability refers the possibility of the outcome of any random event.

Given,

A coin is weighted so that the probability of obtaining a head in a single toss is 0.25.

Here we need to find the probability of obtaining between 9 and 14 heads if the coin is tossed 45 times.

While we looking into the given question,

Probability of obtaining a head in a single toss = 0.25

Number of toss = 45

Here we need to find the probability of getting head between 9 and 14, is calculated as,

=> mean = 45 x 0.25 = 11.25

=> standard deviation = √11.25 x(1 - 0.25) = 2.9

Here the probability is written as,

=> P(9 < x < 14) = P(8.5 < x < 14.5)

Then the z score, is

=> z = (8.5 - 11.25)/2.9 = -0.9483

=> z = (14.5 - 11.25)/2.9 = 1.1207

So, the given probability is rewritten as,

=> P(9 < x < 14) = P(z < 1.1207) - P(z < 0.9483)

When we apply the value of z score on it then we get,

= > P(z < -0.9483) = 0.17149

=> P(z > 1.1207) = 0.13121

=> P(9 < x < 14) = 0.13121 - 0.17149

=> 0.0403

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Answer:

Step-by-step explanation:

The definite integral evaluates to 0 since both expressions are the same and their difference is zero

To evaluate the definite integral with given limits:

∫[ (x – 8/x) dx] with limits -6 to 6

1. Split the integral into two parts:
∫[x dx] - ∫[8/x dx]

2. Find the antiderivatives for each part:
For ∫[x dx], the antiderivative is (1/2)x².
For ∫[8/x dx], the antiderivative is 8ln|x|.

3. Combine the antiderivatives:
(1/2)x² - 8ln|x|

4. Apply the limits of integration (-6 to 6):
[(1/2)(6)² - 8ln|6|] - [(1/2)(-6)² - 8ln|-6|]

5. Simplify and solve:
[(1/2)(36) - 8ln6] - [(1/2)(36) - 8ln6]

Since both expressions are the same, their difference is zero. So, the definite integral evaluates to 0.

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Answer:

- The car's rate in kilometers per hour is 108 kilometers per hour

- The car will travel 540 kilometers in 5 hours

Step-by-step explanation:

Here is the complete question:

A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not round your answers.

Step-by-step explanation:

1000 meters = 1 kilometer

∴ 1 meter = 0.001 kilometer

3600 seconds = 1 hour

∴ 1 second = 1/3600 hour

Therefore,

\(30 meters/ second\) = \(\frac{30 \times 0.001 kilometer}{1/3600 hour}\)

= \(\frac{30 \times 0.001 \times 3600 kilometers}{1 hour}\)

= 108 kilometers / hour

Hence, the car's rate in kilometers per hour is 108 kilometers per hour.

From the formula

Speed = Distance / Time

∴ Distance = Speed × Time

(NOTE: Speed is also known as rate)

Speed (Rate) = 108 kilometers / hour

Time = 5 hours

∴ Distance = Speed × Time gives

Distance = 108 × 5

Distance = 540 kilometers

Hence, the car will travel 540 kilometers in 5 hours.