Wich of the following represents a true statement I Need Help asap well Mary you brain list

a) The initial number of infections refers to the time t = 0, not 1. At the start, there are

\(P(0) = \dfrac{700}{1 + 49e^{-0}} = \dfrac{700}2 = \boxed{350}\)

infected students.

b) Here you look for the time t such that P(t) = 600. We have

\(\dfrac{700}{1+49e^{-0.3t}} = 600\)

\(\dfrac{700}{600} = 1+49e^{-0.3t}\)

\(\dfrac76 = 1+49e^{-0.3t}\)

\(\dfrac16 = 49e^{-0.3t}\)

\(\dfrac1{294} = e^{-0.3t}\)

\(\ln\left(\dfrac1{294}\right) = \ln\left(e^{-0.3t}\right)\)

\(-\ln(294) = -0.3t \ln(e)\)

\(\ln(294) = \dfrac3{10}t\)

\(t = \dfrac{10}3 \ln(294) \approx 18.945\)

Rounding up, the school will close after around 19 days.

Answer:

21

Step-by-step explanation:

I think its 21, because the BD line divides the big triangle into 2 ones and they are equilateral triangle, sorry if I'm wrong

Answer:

BD = 21

Step-by-step explanation:

The sector divided AC into two equal pieces and since this is a right triangle the height of the triangle BD is equal to half of the base

(21+21) / 2 = x

42 / 2 = x

21 = x

The formula for the exponential function giving the balance in your account as a function of time, in years, since your initial investment is B(t) = 500 * (1 + 0.035)^t.

where B(t) represents the balance in the account after t years.

In this scenario, the initial investment is $500, and the yearly interest rate is 3.5%. To determine the balance in the account after a certain number of years, we use the formula for compound interest.

The general formula for compound interest is given by B(t) = P * (1 + r)^t, where B(t) is the balance after t years, P is the principal (initial investment), r is the interest rate (expressed as a decimal), and t is the time in years.

In this case, the principal (initial investment) is $500, and the interest rate is 3.5% or 0.035 as a decimal.

Therefore, the formula for the balance in the account becomes B(t) = 500 * (1 + 0.035)^t.

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The function that models the relationship between the two points is y = 2.5x + 95, which is option D. To determine the function that models the relationship between the two points (2, 100) and (4, 105), we will make use of the slope-intercept form of a linear equation.

The slope-intercept form of the linear equation is given by:y = mx + b

where m is the slope of the line, and b is the y-intercept of the line.

To find the slope, we use the slope formula which is given as:

m = (y₂ - y₁) / (x₂ - x₁)

Where (x₁, y₁) = (2, 100) and (x₂, y₂) = (4, 105).

m = (105 - 100) / (4 - 2)

m = 5/2 = 2.5

So, the slope of the line is 2.5.

Now we substitute the slope and one of the points (2, 100) into the slope-intercept form of the linear equation to find the y-intercept, b.100 = 2.5(2) + b

100 = 5 + b

b = 100 - 5

b = 95

Thus, the function that models the relationship between the two points is y = 2.5x + 95, which is option D.

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Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

\(y-y_1=m(x-x_1)\)

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

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

Our answer is the top right :)

Answer:

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

Our answer is the top right :)

Step-by-step explanation:

I eat pizza or drink bottled water, for example, is a symbolic representation of the following statement.

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Answer:

A: the same line

Step-by-step explanation:

Answer:

2.32x10^-11

here ya go luv <3

Answer:

x=19

Step-by-step explanation:

First, you place the numbers in place of the variables in their relative positions using the pythagorean theorem:

\(15^{2} +x^{2}=24^{2}\)

Then you square the numbers that you currently have:

\(225+x^{2}=576\)

Then subtract 225 from both sides to isolate the x:

\(x^{2} =576-225\)

This gives you the equation:

\(x^{2} =351\)

Then take the square root of both sides which gives you:

\(x=18.7349939952\)

Then round to the nearest whole number which gives you x=19

Answer:

Well what is p

Step-by-step explanation:

Answer:

A=6p

B=1

C=2/p

Step-by-step explanation:

Answer:

13 2/15

Step-by-step explanation:

Answer:

C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Step-by-step explanation:

The correct option is - C) fails to consider that commuting trips may cause significantly more than 20 percent of the traffic congestion

Reason -

Option A is incorrect because the statistics can not be incorrect.

Option B is incorrect because they are not talking about the city.

Option C is correct because Urban rail reduces congestion.

Option D is incorrect because the opposers cited the example of one city and the supporters are presenting evidence in the case of that city itself.

Option E is incorrect because they are providing an explanation for why the commuters data given by opposers is not relevant. The opposers talked about commuters.

Answer:

Let the number be x

Given:  

11 + 5x = 20 + 2x

5x - 2x = 20 - 11

3x = 9

x = 3

The number is 3.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Let x represent the number, and set up an equation:

5x + 11 = 2x + 20

Solve for x:

5x + 11 = 2x + 20

3x + 11 = 20

3x = 9

x = 3

So, the number is 3.

Answer:

a) c, s

b) P(c, s) = 60c + 90s

c) c + s ≤ 320

50c + 100s ≤ 20000

100c + 40s ≤ 19200

d) \(c + s+s_1=320\)

\(50c + 100s+s_2=20000\)

\(100c + 40s+s_3=19200\)

Step-by-step explanation:

a) Let c represent the acres of corn planted and s represent the acres of soybeans planted.

the decision variables of this problem are c and s

a) Each acre of corn yields a profit of $60 and Each acre of soybeans yields a profit of $90

The objective function P(c, s) = 60c + 90s

c)

1) The farmer has a 320 acre farm on which she plants two crops: corn and soya beans. The constraint for this problem is:

c + s ≤ 320

2)  her expenses are $50 and for each acre of soybeans planted, he expenses are $100. the farmer has only $20,000 on hand. The constraint is:

50c + 100s ≤ 20000

3) Each acre of corn requires 100 bushels of storage and each acre of soybeans requires 40 bushels of storage.  the total amount of storage space available is 19,200 bushels, The constraint is:

100c + 40s ≤ 19200

d) We have a total of 3 equations. To balance the equations,we would introduce 4 slack variables: \(s_1,s_2,s_3\)

\(c + s+s_1=320\)

\(50c + 100s+s_2=20000\)

\(100c + 40s+s_3=19200\)

Therefore solving these equations gives

c=140, s=130

P(c, s) = 60c + 90s = 60(140) + 90(130)= $20100

Answer: 60 weeks.

Step-by-step explanation: 150 divided by 2.50 = 60

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

Answer:

Look down below

Step-by-step explanation:

A.)Net capitalized cost=146,000-3000= $143,000

Net capitalized cost = 143,000

B.)Money factor=8.4/100 over 24=0.084/24=0.0035

Money Factor= 0.0035

C.)Average monthly finance charge= (143,000+75,000)x 0.0035= 218,000 x 0.0035=$763

Average Monthly Finance Charge= $763

D.)Average monthly depreciation= 143,000-75000/5 x 12=68000/60=$1133.33

Average monthly deprecation= $1133.33

E.)monthly lease payment=1133.33/5= $226.66

Monthly lease payment= $226.66

Answer:

-2

Step-by-step explanation:

5x – 15 > 10 + 20x

Subtract 5x from each side

5x – 15-5x > 10 + 20x-5x

-15 > 10+15x

Subtract 10 from each side

-15-10 >15x

-25 > 15x

Divide each side by 15

-25/15 > x

-5/3 > x

X must be less than -1  2/3

The only value that is less than -1 2/3 is -2

Answer:

Step-by-step explanation:

\(5x - 15 > 10 + 20x\\\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\5x-15+15>10+20x+15\\\mathrm{Simplify}\\\\5x>20x+25\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\\\5x-20x>20x+25-20x\\\\\mathrm{Simplify}\\\\-15x>25\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-15x\right)\left(-1\right)<25\left(-1\right)\\\\\mathrm{Simplify}\\\\15x<-25\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\\\frac{15x}{15}<\frac{-25}{15}\\\\x<-\frac{5}{3}\)

In the given sequences, the first sequence (5, 10, 15, 20, 25) and the fourth sequence (10, 7, 4, 1, -2) do not have a common ratio. All the other sequences have a common ratio.

A common ratio is a constant value that, when multiplied by each term in a sequence, produces the next term. In the second sequence (1, 2, 4, 8, 16), the common ratio is 2, as each term is obtained by multiplying the previous term by 2. Similarly, in the third sequence (3, -9, 27, -81), the common ratio is -3, as each term is obtained by multiplying the previous term by -3.

In the fifth sequence (1, 10, 100, 1000), the common ratio is 10, as each term is obtained by multiplying the previous term by 10.

Lastly, in the sixth sequence (10, 5, 2.5, 1.25), the common ratio is 0.5, as each term is obtained by dividing the previous term by 2.

Therefore, the sequences with a common ratio are:

1. 2 (second sequence)

2. -3 (third sequence)

3. 10 (fifth sequence)

4. 0.5 (sixth sequence).

The first sequence (5, 10, 15, 20, 25) does not have a common ratio because the difference between consecutive terms is constant (5) instead of a constant ratio.

Similarly, the fourth sequence (10, 7, 4, 1, -2) does not have a common ratio because the difference between consecutive terms is not constant.

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Answer: 9x(3+1)/6-5

Step-by-step explanation: 9x(3+1)= 36

36/6-5=1

The Expression is 9 x (3+1)/ 6 -5 which gives value 1.

BODMAS rule is an acronym that is used to remember the order of operations to be followed while solving expressions in mathematics. It stands for B - Brackets, O - Order of powers or roots, (in some cases, 'of'), D - Division, M - Multiplication A - Addition, and S - Subtraction. It means that expressions having multiple operators need to be simplified from left to right in this order only.

Given:

9 x 3 + 1 divide by 6 - 5

So, we can write it as

9 x (3 + 1) ÷ 6 -5

Using the BODMAS rule

9 x (3+ 1)

= 9 x 4

and, (9 x 4) /6

= 36/6

= 6

and, 6-5 = 1

Hence, the Expression is 9 x (3+1)/ 6 -5.

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Given :

In the early spring, the trout at Big Blue Lake swim at a depth of 30 feet below sea level.

When the lake warms up in the summer, the trout swim 20 feet deeper than that , d = 20 feet .

To Find :

At what position relative to sea level do the trout swim in the summer.

Solution :

Depth in spring from surface , \(D_s=30\ feet\) .

Let , depth in summer is D .

Now , depth in summer relative to sea-level is :

\(D=D_s+d\\\\D=30+20\ feet\\\\D=50\ feet\)

Therefore , trout swim 50 feet deep below the sea level in the summer .

Hence , this is the required solution .

Answer:

-50

Step-by-step explanation:

bcuz it is

Answer:

\(=\frac{64}{3v}\)

Step-by-step explanation:

One is given the following equation:

\(\frac{(4v^-^3)^3}{3v^-^8}\)

Simplify the numerator, remember to raise every number inside the parenthesis to the exponent outside of the parenthesis. Bear in mind, an exponent raised to another exponent is equal to the exponent times the exponent it is raised to. Then simplify by multiplying the number by itself the number of times that the exponent indicates.

\(\frac{(4v^-^3)^3}{3v^-^8}\)

\(=\frac{4^3(v^-^3)^3}{3v^-^8}\)

\(=\frac{4^3v^-^9}{3v^-^8}\)

\(=\frac{64v^-^9}{3v^-^8}\)

Bring the variable (v) in the denominator (value under the fraction bar) to the numerator (value ontop of the fraction bar) by multiplying its exponent by (-1). This can be done simply because all operations in this equation are multiplication or division, remember, an exponent is another form of multiplication.

\(=\frac{64v^-^9}{3v^-^8}\)

\(=\frac{(64v^-^9)(v^(^-^1^)^(^-^8^))}{3}\)

Simplify, remember, multiplying two numbers with the same base that have an exponent is the same as adding the two exponents,

\(=\frac{(64v^-^9)(v^(^-^1^)^(^-^8^))}{3}\)

\(=\frac{(64v^-^9)(v^8)}{3}\)

\(=\frac{64v^-^9^+^8)}{3}\)

\(=\frac{64v^-^1}{3}\)

Now bring the variable to the denominator so that there are no negative exponents. Use a similar technique that was used to bring variables with exponents to the numerator.

\(=\frac{64v^-^1}{3}\)

\(=\frac{64}{3(v^(^-^1^)^(^-^1^))}\)

\(=\frac{64}{3v^1}\)

\(=\frac{64}{3v}\)

Answer: A and B are correct

Step-by-step explanation: You just multiply the numbers and they both equal -1.12

Answer:

16 runner

Step-by-step explanation:

It is given that,

Each group will need to run a race that is 1/2 of a mile long. Each runner has to run 1/8 of a mile in the race.

Let there are x no of runners. ATQ,

\(\dfrac{1}{8}x=\dfrac{1}{2}\\\\x=\dfrac{(1/2)}{(1/8)}\\\\x=16\)

So, there are 16 runner that are needed for each relay race group.

Answer:

Step-by-step explanation:

Add 1/2+1/2=1/1 or 1

If she needs 1/8 runners

Half of 1/8 is 1/4 or 1x4=4

Or 2x2=4

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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