Answer pleasssssseeee

Answer:

A) 15

Step-by-step explanation:

a = 3   b = 5  c = 7

a + b + c

3 + 5 + 7 = 15

Answer:

I believe it is A 15

Step-by-step explanation:

Therefore, the exact length of the curve is ln|2+sqrt(3)| - ln|2|.

To find the length of the curve, we will use the arc length formula:

L = ∫(a to b) sqrt[dx/dt)^2 + (dy/dt)^2] dt

where a and b are the limits of t, and dx/dt and dy/dt are the derivatives of x and y with respect to t, respectively.

So, let's first find the derivatives of x and y with respect to t:

dx/dt = 1/(1+t)^2

dy/dt = 1/(1+t)

Now, we can substitute these values into the arc length formula and integrate:

L = ∫(0 to 2) sqrt[(1/(1+t)^2)^2 + (1/(1+t))^2] dt

= ∫(0 to 2) sqrt[1/(1+t)^4 + 1/(1+t)^2] dt

= ∫(0 to 2) sqrt[(1+t^2)/(1+t)^4] dt

= ∫(0 to 2) (1+t^2)^0.5 / (1+t)^2 dt

This integral is a bit tricky, but we can simplify it by using the substitution u = 1+t:

du/dt = 1, dt = du

So, the integral becomes:

L = ∫(1 to 3) (u^2-1)^0.5 / u^2 du

This integral can be solved using trigonometric substitution. Letting u = sec(theta), we have:

du = sec(theta) tan(theta) d(theta)

u^2 - 1 = tan^2(theta)

Substituting these into the integral, we get:

L = ∫(0 to pi/3) tan(theta) d(theta)

= ln|sec(theta)| (0 to pi/3)

= ln|2+sqrt(3)| - ln|2|

Therefore, the exact length of the curve is ln|2+sqrt(3)| - ln|2|.

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:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.

During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.

According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes

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The equation of the circle with radius 7 and center at (-4 , -6) is (x + 4)^2 + (y + 6)^2 = 49.

The general form of the equation of  circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.

Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.

(x - h)^2 + (y - k)^2 = r^2

where (h , k) = (-4 , -6)

r = 7

(x - -4)^2 + (y - -6)^2 = 7^2

(x + 4)^2 + (y + 6)^2 = 49

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Answer:

D) y=-5

Step-by-step explanation:

..............

Answer:

Girl's plot

Step-by-step explanation:

The exact question is as follows :

Given - The dot plots compare the number of raffle tickets sold by boys and girls during a school fund-raiser.

To find - Which plot has an outlier?

Proof -

The correct answer is - Girls

Reason -

Girls plot has an outlier because values way outside the majority of the data.

Definition of outlier -

A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.

Here in the Girl's plot we can see that, all the dots are close but there is one dot that is lies outside

But in Boy's plot all the dots are close to each other , no dot is lies outside to any other dots.

So,

The correct option is -

Girl's plot has an outlier.

To determine how well Feng must score on exam B, we can use z-scores and the concept of standard deviations.

First, let's calculate the z-score for Feng's score on exam A:

z-score = (x - mean) / standard deviation

z-score for exam A = (81 - 76) / 10 = 0.5

This means that Feng's score on exam A is 0.5 standard deviations above the mean of exam A.

To find out how well Feng must score on exam B, we need to calculate the equivalent score in terms of z-scores for exam B.

x = mean + (z-score * standard deviation)

x = 300 + (0.5 * 50) = 325

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The inequality to illustrate the information that the minimum bid was more than $20,000 is b > 20000.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Let the minimum bid be represented by b.

Since it's more than 20000, it implies that it's greater than. This will be illustrated as b > 20000.

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Answer:

The formula for the volume of a sphere is 4⁄3πr³. For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h.

In the long run, perfectly competitive firms aim to produce at a level of output where their marginal cost (MC) is equal to the market price (P).

This is because in a perfectly competitive market, there are many firms competing with each other, and they cannot charge a price higher than the market price. Therefore, firms must produce at a level where their MC equals P in order to maximize profits.
Therefore, the answer to the question is that perfectly competitive firms produce a level of output such that P = MC. This is because the other options, P = minimum of AC and P > MC, do not accurately reflect the behavior of perfectly competitive firms. In a perfectly competitive market, firms cannot charge a price higher than the market price, so P will not be greater than MC. Additionally, P will not be equal to the minimum of AC because in a perfectly competitive market, there are no barriers to entry, so firms cannot earn economic profits in the long run. Therefore, they must produce at a level where P = MC to break even in the long run.

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Answer:

12 nickles and 9 dimes

Step-by-step explanation:

First, let's use the first equation, n + d = 21, to solve for d in terms of n:

n + d = 21     [Subtract n from both sides]

d = 21 - n

Now that we have found d in terms of n, let's plug d into the second equation, 0.05n + 0.1d = 1.5:

0.05n + 0.1d = 1.5     [Plug in d]

0.05n + 0.1(21 - n) = 1.5     [Distribute 0.1 to (21-n)]

0.05n + 2.1 - 0.1n = 1.5     [Combine like terms]

-0.05n + 2.1 = 1.5     [Subtract 2.1 from both sides]

-0.05n = -0.6     [Divide both sides by -0.05]

n = 12

Now that we have found the amount of nickles Donna had, let's use the first equation, n + d = 21, to solve for d, the amount of dimes she used.

n + d = 21     [Plug in n]

12 + d = 21     [Subtract 12 from both sides]

d = 9

So, Donna must have bought her candy bar using 12 nickles and 9 dimes.

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Answer:

I think k = 12

Step-by-step explanation:

Answer: 60 = 5(x)

Step-by-step explanation:

60 = 5(x)

60/5 = 12

60 is 5 times as great as 12

Answer:

y= 1/5x + -8

Step-by-step explanation: slope-intercept form= y=mx+b

y= the number on the y-axis or the simple y

m=slope

x= the number on the x-axis or the simple x

b= y-intercept

The required slope-intercept form of the equation is given as y = 1/5x - 8.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope intercept of the equation is given as,
y = mx + c,

From the given, we have a slope of line m = 1/5 and y-intercept, c = -8.
Now,
y = mx + c
y = 1/5x - 8

Thus, the required slope-intercept form of the equation is given as y = 1/5x - 8.

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The function represents the height of the plant in centimetres after n days, so n cannot be negative.

Part A:

To find a reasonable domain to plot the growth function, we need to consider the practical limitations of the growth of the plant. Also, since the function represents the growth of a particular species of plant, there may be an upper limit to how many days the plant can grow.

Assuming that the plant is not a perennial plant and has a limited lifespan, we can choose a reasonable domain for the function as [0, t], where t is the expected lifespan of the plant in days.

Since we do not have information about the expected lifespan of the plant, we can choose a reasonable value such as \(t = 365\)  (assuming it is an annual plant). So the domain for the function can be  \([0, 365]\)  .

Part B:

The y-intercept of the graph of the function f(n) represents the height of the plant when it was planted or started growing, that is, at n = 0. To find the y-intercept, we can substitute n = 0 in the equation:

\(f(0) = 15(1.02)^0 = 15\)

Therefore, the y-intercept of the graph of the function f(n) is \(15\) cm.

Part C:

The average rate of change of the function f(n) from n = 1 to n = 4 can be calculated using the formula:

average rate of change \(= [f(4) - f(1)] / (4 - 1)\)

Substituting the values in the equation, we get:

average rate of change \(= [15(1.02)^4 - 15(1.02)^1] / 3\)

average rate of change \(≈ 1.42 cm/day\)

Therefore, The average rate of change of the function f(n) from n = 1 to n = 4 represents the average daily growth rate of the plant during this period.

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Approximately 53.47% of prospective employees who test positive actually use illegal drugs.

we will use a tree diagram and the given information: 6% of prospective employees actually use illegal drugs, the false positive rate is 5%, and the false negative rate is 10%.
Step 1: Draw a tree diagram:
- First level: divide into two branches, one for "Uses Drugs (6%)" and one for "Does Not Use Drugs (94%)".
- Second level: under "Uses Drugs", divide into two branches, "Tests Positive (90%)" and "Tests Negative (10%)". Under "Does Not Use Drugs", also divide into two branches, "Tests Positive (5%)" and "Tests Negative (95%)".
Step 2: Calculate the probabilities:
- Probability of using drugs and testing positive: 0.06 * 0.9 = 0.054
- Probability of not using drugs and testing positive: 0.94 * 0.05 = 0.047
Step 3: Determine the percentage of prospective employees who test positive and actually use illegal drugs:
- Add the probabilities of testing positive (both using and not using drugs): 0.054 + 0.047 = 0.101
- Divide the probability of using drugs and testing positive by the total probability of testing positive: 0.054 / 0.101 ≈ 0.5347
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the firm has a total asset turnover of 0.6, which means that for every $1 of total assets, the firm generates $0.6 in sales. This ratio indicates the firm's efficiency in utilizing its assets to generate revenue

Total asset turnover is a financial ratio that measures a company's efficiency in generating sales from its total assets. It is calculated by dividing the total sales by the average total assets. In this case, the firm has $600,000 in sales and total assets of $1 million.

Total Asset Turnover = Total Sales / Average Total Assets

To calculate the average total assets, we sum the beginning and ending total assets and divide by 2:

Average Total Assets = (Beginning Total Assets + Ending Total Assets) / 2

Given that the firm's total assets are $1 million, the average total assets would also be $1 million.

Plugging in the values into the total asset turnover formula:

Total Asset Turnover = $600,000 / $1,000,000 = 0.6

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Answer:

8 + 4 ÷ (-24) × (3) - 4 = 35

Step-by-step explanation:

Answer:

50π cm²/s

Step-by-step explanation:

Area of the circle A = πd²/4

Rate at which the area is changing with time is expressed as;

dA/dt = dA/dd*dd/dt

dd/dt is the rate at which the diameter is changing with time

dd/dt = 5cm/sec

dA/dd = 2πd/4

dA/dd = πd/2

Given that d = 20cm

dA/dt = dA/dd*dd/dt

dA/dt = πd/2*5

dA/dt = 20π/2 *5

dA/dd = 10π * 5

dA/dd = 50π cm²/s

Hence the area is changing at the rate of  50π cm²/s

Given:

The recurring decimal is \(0.47\overline{2}\).

To prove:

Algebraically that the recurring decimal \(0.47\overline{2}\) can be written as \(\dfrac{17}{36}\).

Proof:

Let,

\(x=0.47\overline{2}\)

\(x=0.472222...\)

Multiply both sides by 100.

\(100x=47.2222...\)     ...(i)

Multiply both sides by 10.

\(1000x=472.2222...\)        ...(ii)

Subtract (i) from (ii).

\(1000x-100x=472.2222...-47.2222...\)

\(900x=425\)

Divide both sides by 900.

\(x=\dfrac{425}{900}\)

\(x=\dfrac{17}{36}\)

So, \(0.47\overline{2}=\dfrac{17}{36}\).

Hence proved.

Summarizing a number of survey questions into a single concept could be achieved with which type of analysis?

a. factor analysis

b. multiple discriminant analysis

c. multiple regression analysis

d. cluster analysis

Factor Analysis

The correct option is (a)

Now, According to the question:

Let's know:

What is factor analysis?

Factor analysis is a technique that is used to reduce a large number of variables into fewer numbers of factors. This technique extracts maximum common variance from all variables and puts them into a common score. As an index of all variables, we can use this score for further analysis.

Factor Analysis

The correct option is (a)

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The question is like this:

Summarizing a number of survey questions into a single concept could be achieved with which type of analysis?

a. factor analysis

b. multiple discriminant analysis

c. multiple regression analysis

d. cluster analysis

Answer:

0.00390625

Step-by-step explanation:

For coins :

Number of rolls, trials, n = 4

P(heads) = 0.5

Using binomial probability formula :

P(x =x) : nCr * p^x q ;

P(obtaining exactly 4 heads) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

P(even number from 4 coin tosses)

Even faces = (2,4,6)

Total faces = (1,2,3,4,5,6)

P(success) = 3/6 = 0.5

P(obtaining exactly 4 even) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

Hence, obtaining 4 even outcomes and 4 heads = 0.0625 * 0.0625 =0.00390625

Answer:

32

Step-by-step explanation:

Answer:

b = 3

Step-by-step explanation:

Simplify 4b - 3b + 7 = 10

b + 7 = 10

Subtract 7 from both sides

b = 10 -7

Simplify 10 -7 to 3

b = 3

Hope this helps!

-Jerc

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Step-by-step explanation:

Answer:

I think she is forming a letter but not so sure. I don't understand your question. Sorry

Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

Given:

Consider the given function is

\(y=|8x-3|-3\)

To find:

The vertex , axis of symmetry, and transformations of the parent function?

Solution:

We have,

\(y=|8x-3|-3\)

\(y=\left|8\left(x-\dfrac{3}{8}\right)\right|-3\)

\(y=8\left|x-\dfrac{3}{8}\right|-3\)      ...(i)

It is an absolute function.

The vertex form of an absolute function is

\(y=a|x-h|+k\)       ...(ii)

where, a is a constant, (h,k) is vertex and x=h is axis of symmetry.

From (i) and (ii), we get

\(a=8,h=\dfrac{3}{8},k=-3\)

So,

\(\text{Vertex}:(h,k)=\left(\dfrac{3}{8},-3\right)\)

\(\text{Axis of symmetry}:x=\dfrac{3}{8}\)

Parent function of an absolute function is

\(y=|x|\)

Since, a=8 therefore, parent function vertically stretched by factor 8.

\(h=\dfrac{3}{8}>0\), so the function shifts \(\dfrac{3}{8}\) unit right.

k=-3<0, so the function shifts 3 units down.

Therefore, the vertex is \(\left(\dfrac{3}{8},-3\right)\) and Axis of symmetry is \(x=\dfrac{3}{8}\). The parent function vertically stretched by factor 8, shifts \(\dfrac{3}{8}\) unit right and  3 units down.

Answer:

40* degress angled

Step-by-step explanation:

Answer:

I believe the answer is a 40 degree angle

Step-by-step explanation:

√21 is the measure of the height of the cone.

According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.

From the given cone;

Hypotenuse = 5cm

Adjacent = 4/2. = 2cm

Determine the height

h^2 = 5^2 - 2^2

h^2 = 25 - 4

h^2 = 21

Take the square root of both sides

h = √21

Hence the measure of the height of the cone is √21

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