A curve has equation y=2/x square root what is dy/dx

Answer:

B, 248

Step-by-step explanation:

Out of 45 students in calc and 21 in stats, 14 are repeatedly counted. We can subtract 14 from one group so that this number does not overlap. For example, let us take the calc group:

45-14= 31

31+21 =52 students taking either calc or stats, NOT OVERLAPPED

Everyone else is not taking calc or stats, so 300-52= 248, or B

I hope this helps! :)

The numeric value of the function f(x) = 14/[3 + ae^(kx)] at x = 2 is given as follows:

f(2) = 0.172.

The function for this problem is defined as follows:

f(x) = 14/[3 + ae^(kx)]

When x = 0, y = 2, hence we can obtain the coefficient a as follows:

2 = 14/(3 + a)

6 + a = 14

a = 8.

Hence:

f(x) = 14/[3 + 8e^(kx)]

When x = 1, y = 1/2, hence the coefficient k is given as follows:

0.5 = 14/(3 + 8e^k)

1.5 + 4e^k = 14

4e^k = 12.5

e^k = 12.5/4

k = ln(12.5/4)

k = 1.14.

Hence:

f(x) = 14/[3 + 8e^(1.14x)]

Then the numeric value of the function at x = 2 is given as follows:

f(2) = 14/[3 + 8e^(1.14(2))]

f(2) = 0.172.

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Answer:

\(216\)

Step-by-step explanation:

Remember that \(a^{b}=a*a*a*a*... b~~times\).

So, \(6^3=6*6*6=(6*6)*6=36*6=\boxed{216}\)

Considering that both Chicago and Memphis are in the same time zone, the flight took one hour and 40 minutes.

It Chicago at 9:50 AM Central Time and arrived in Memphis at 11:30 AM Central Time. Since they are in the same time zone, we don't have to do anything but subtract, then:

11:30 - 9:50

30 < 50, hence we remove one hour from Memphis and add 60 minutes, thus:

10:90 - 9:50 = 1:40

The flight took one hour and 40 minutes.

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Answer:

What up why is there no question

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

rise/run. the graph rises 5 and over 2 to the next point

Answer:

y = 9

Step-by-step explanation:

1. We know that the line the angles fall on is a straight angle, meaning it's worth 180°.

2. Given the information above, 8y + 96 + 12 = 180.

3. (Solving equation above).

Step 1: Simplify both sides of the equation.

Step 2: Subtract 108 from both sides.

Step 3: Divide both sides by 8.

Step 4: Check if solution is correct.

Therefore, y = 9.

Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let's assume that an adult manatee eats "r" pounds of food per day on average. Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d

Here, "p" represents the number of pounds of food, "r" represents the average amount of food consumed per day, and "d" represents the number of days. So, if we know the average amount of food consumed by an adult manatee per day, we can use this equation to calculate how much food it will eat in any given number of days.

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Answer:

The interest rate = 1.68%

Step-by-step explanation:

Sue invests £9000 in an account for one year.

She pays £30.24 at a rate of 20%

So 20% of the interest =£ 30.24

Let the interest be x

X0.2= 30.24

X=£ 151.2

The total interest was£ 151.2

The rate R at which generated this interest

R = (100*151.2)/(1*9000)

R= 15120/9000

R= 1.68%

The interest rate = 1.68%

Answer:

y=-5/2+x

Step-by-step explanation:

Answer:

2 and a half

Step-by-step explanation:

250 times 2= 500

250 divided by 2=125

500 plus 125= 625

brainliest please

Answer:4.1

Step-by-step explanation:

c=AB

C=26°

B=122°

b=8

Using sine rule

c/sinC = b/sinB

c/sin26=8/sin122

Sin26=0.4384

Sin122=0.8480

c/0.4384=8/0.8480

Cross multiply

c x 0.8480=8 x 0.4384

c x 0.8480=3.5072

Divide both sides by 0.8480

(c x 0.8480)/0.8480=3.5072/0.8480

c=4.1

Answer:

The prize is p100,000.00, and we can define this as the 100%.

Now, we could say:

"Each member receives the same percentage of the price as the total percentage of the project that he/she did"

Then:

Member A did 25% of the total project.

Then he gets an amount X.

X = 25%

p100,000.00 = 100%

We can solve this system for X as:

X = (25%/100%)*p100,000.00 = p25,000.00

Now we can use the samme aproach for the other members:

Member B did 40% of the total project:

Then he gets an amount X.

X = 40%

p100,000.00 = 100%

X = (40%/100%)*p100,000.00 = p40,000.00

Member C did 25% of the total project.

Then he gets an amount X.

X = 25%

p100,000.00 = 100%

X = (25%/100%)*p100,000.00 = p25,000.00

Member D did 10% of the total project.

Then he gets an amount X.

X = 10%

p100,000.00 = 100%

X = (10%/100%)*p100,000.00 = p10,000.00

Now, we also could divide the price evenly between the four members:

p100,000.00/4 = p25,000.00

So they all get the same amount, but i think that the actual solution to this problem is the other one.

Answer:

Angle ACB = 44°

There are two ways to solve it. Both are right

Solution number 1

From triangle ABC

angle BAC = 180°-(102° +44°) = 36°

Because BG is parallel with AC

Another solution

The sum of angles in the shape AGBC = 360°

Answer:

1/5,1/6,2/9,3/10

Step-by-step explanation:

hope it helps helps and have a nice day! :)

Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

The graph of the given polynomial function is graph 2 given that the degree of the polynomial function is 3 and the roots of the equation when f(x) = 0 are −1, 0, and 4. This can be obtained by

Here in the question it is given that,

We have to find the graph of the polynomial function f(x).

As given in the question the polynomial f(x) has 3 roots.

Now, when f(x) = 0, we are told that the 3 roots are,

⇒ x = - 1

⇒ x = 0

⇒ x = 4

The roots of a polynomial on a graph are the points where the graph curve crosses the x - axis which are called the x-intercepts.

By observing all the given graphs, the only graph that crosses the x-axis at the points x = - 1, x = 0, and x = 4 is the second graph which is graph 2.

Hence the graph of the given polynomial function is graph 2 given that the degree of the polynomial function is 3 and the roots of the equation when f(x) = 0 are −1, 0, and 4.    

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Answer:

The Pareto Optimal height is  \(i = 100 \ inch\)

Step-by-step explanation:

The Pareto Optimal height is a height  of the seawall at which an increase in wall height will exceed the amount the resident are willing to pay and a decrease will affect the protection of the city

The number of residents is \(n = 100\)

The amount each are willing to pay is  \(z=\)$10 per inch

 The cost of building a wall that is i inches high is given by \(c(i) = 6i^2.\)

The total amount the residents are willing to pay is

          \(n = 100 * 10\) =  $1000

The maximum cost  is mathematically represented as

                \(\frac{dc(i)}{di} = 10i\)

which implies that

          1000 =  10i

Hence the Pareto Optimal height is

=>         \(i = \frac{1000}{10}\)

             \(i = 100 \ inch\)

the CPI to the nearest tenth in 1950 was 24.06.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, a bottle of dishwashing detergent cost $0.31 in 1950 and In 1970, a bottle of dishwashing detergent cost $0.50

Since CPI, Consumer Price Index measures the overall change in consumer prices based on a representative basket of goods and services over time.

The price of dishwashing detergent increased at the same rate as the CPI from 1950 to 1970.

So,

0.50 / 0.31 = CpI for 1970/ CPI for 1950

Since CPI in 1970 is 38.80

CPI in 1950 = 0.62 * 38.80

CPI in 1950 = 24.056

Therefore,  the CPI to the nearest tenth in 1950 was 24.06.

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Complete question:

In 1970, a bottle of dishwashing detergent cost $0.50. To answer each of the parts below, assume that the consumer price index (CPI) was 29.6 in 1960, 38.8 in 1970, and 82.4 in 1980.

If the price of dishwashing detergent increased at the same rate as the CPI from 1970 to 1980, how much did a bottle of dishwashing detergent cost in 1980? By how much did the price of a bottle of dishwashing detergent increase from 1970 to 1980?

y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

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The number of overtime hours that each person needs to work will be 26.67 hours per person each week.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The Labor's Information is given below.

For a 12-person team, the number of hours that each person does will be given as,

⇒ 800 / 12

⇒ 66.67 Hours per person each week

The number of overtime hours that each person needs to work will be given as,

⇒ 66.67 - 40

⇒ 26.67 Hours per person each week

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In order to determine which is the probability for reading 4 books, you consider that the sum of all probabilities must be equal to 1.0. In that sense, you know that the unknow value of the probability distribution for x = 4 can be calculate as follow:

- Add up all known values of the probability distribution

0.23 + 0.27 + 0.18 + 0.07 = 0.75

- Next, you subtract the previous result to 1.0:

1.0 - 0.75 =0.25

The previous result is the value of the probability distribution for x = 4.

Hence, the probability of reading 4 books is 0.25, which is equivalent to 25.0%.

The length of each side of the tile with an area of 790 cm² correct to 3 significant figures is 28.1 cm.

Significant figures are the digits in a number that give a reliable accuracy of the quantity of a measurement.

The significant figures do not include the zeros immediately after the decimal place but those that occur between other numbers are regarded as significant.

The area of a square tile = Length x Length

= 790 cm²

The length of each side = √790 = 28.1069

= 28.1 cm

Thus, we can conclude that the length of each side of the square tile is 28.1 cm.

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Answer:

true

Step-by-step explanation:

true the definition is right

Answer:

The solution is 11

Step-by-step explanation:

To solve this question is quite easy, here are the step-by-step:

\( \sf \lim_{ t \to - 3} \sf ( - {t}^{2} - 6t + 2) \\ \\ \sf = - ( - 3)^{2} - 6( - 3) + 2 \\ \\ = \sf { - ( 9)} + 18 + 2 \\ \\ = \sf 9+ 2 \\ \\ = \sf 11\)

Answer:

C. $378

Step-by-step explanation:

Total cost of party = food & drink + game tokens + other

                              =  250 + 100 + 70

                              = $420

Deposit = 10% of total cost

              = 10% of $420

              = 0.1 x 420

              = $42

Total cost still to pay = total cost - deposit

                                   = 420 - 42

                                   = $378

7.1 years

Step-by-step explanation:

Principle P = 9000 dollars

Rate r = 4.75% = 0.0475

Total Amount A = 12600 dollars

compounded quarterly n = 4

Time t = ?

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(12,600/9,000) / ( 4 × [ln(1 + 0.011875/4)] )

t = 7.1 years

so the answer is 7.1 years

Answer:

z=8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(z−10)=−4

(2)(z)+(2)(−10)=−4(Distribute)

2z+−20=−4

2z−20=−4

Step 2: Add 20 to both sides.

2z−20+20=−4+20

2z=16

Step 3: Divide both sides by 2.

2z2=162

z=8