Which equation is equivalent to
−
(
6
−
x
)
=
24
?

When viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.

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The probability values for the questions posed are :

A.)

Number of students Taking a public speaking class majoring in business administration.

P(PS or BA) = 55/100 = 11/20

Therefore, the probability of PS or BA is 11/20

B.)

For the survey described, P(taken a public speaking class | majoring in Business Administration) represents the probability that a selected student has taken a public speaking class given that the student is majoring in business administration.

Hence, as inferred from P(A|B) ; probability of A given B.

C.)

P(PS|BA) = n(PSnBA) / n(BA)

n(PS) = 10+20 = 30

n(PSnBA) = 10

P(PS|BA) = 10/30 = 1/3

Therefore , the probability of PS|BA is 1/3.

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Answer:

13,13,10,-15

Step-by-step explanation:

Answer: -z-65

Step-by-step explanation:

For any value of k and h = -18, the system will have infinitely many solutions.

Hence, option (b) is the correct choice.

A coefficient matrix in linear algebra is a matrix made up of the coefficients of the variables in a group of linear equations. In order to solve systems of linear equations, the matrix is employed.

The system will have infinitely many solutions when the determinant of the coefficient matrix is equal to 0.

The determinant can be calculated from the upper triangular matrix as the product of the diagonal elements, which is 0 * (-20) * (h + 18) = 0.

Therefore, the system will have infinitely many solutions when h + 18 = 0,

or h = -18.

This means the answer is (b) any value of k and h = -18.

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Answer:

the monthly car payment is $722.91

Step-by-step explanation:

To find the monthly car payment, we need to use the formula for the monthly payment of a loan:

P = (Pr(1+r)^n)/((1+r)^n - 1)

where P is the monthly payment, P is the loan principal (the total cost of the car including tax and license), r is the monthly interest rate, and n is the total number of payments (the number of years multiplied by 12 months per year).

First, we need to convert the annual interest rate of 4.4% to a monthly interest rate. We divide 4.4% by 12 to get:

r = 0.044/12 = 0.0036667

Next, we need to calculate the total number of payments. Since the loan is for 4 years and there are 12 months in a year, the total number of payments is:

n = 4 years x 12 months/year = 48

Now we can substitute the values into the formula:

P = (31795.66(0.0036667)(1+0.0036667)^48)/((1+0.0036667)^48 - 1)

Using a calculator, we get:

P = $722.91 (rounded to the nearest cent)

Therefore, the monthly car payment is $722.91.

\( \sin(60) = \frac{a}{4 \sqrt{3} } \\ \)

\( \frac{ \sqrt{3} }{2} = \frac{a}{4 \sqrt{3} } \\ \)

\(a = 6\)

_____________________________________________

\( \cos(60) = \frac{c}{4 \sqrt{3} } \\ \)

\( \frac{1}{2} = \frac{c}{4 \sqrt{3} } \\ \)

\(c = 2 \sqrt{3} \)

_____________________________________________

\( \sin(45) = \frac{a}{b} \\ \)

\( \frac{ \sqrt{2} }{2} = \frac{6}{b } \\ \)

\(b = 6 \sqrt{2} \)

_____________________________________________

\(d = a = 6\)

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Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D

To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.

From the given table, we can see that there are 22 students with gray eyes and red hair.

The total number of students with gray eyes is the marginal total for gray eyes, which is 35.

To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:

Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes

Relative frequency = 22 / 35

Simplifying the fraction, we have:

Relative frequency = 0.6286

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.

Therefore, the correct answer is option OD) 0.63.

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The events A and B are dependent events.

The probability of event B will be different from the initial probability of selecting a black sock (event A).

Two events are considered independent if the outcome of one event does not affect the probability of the other event.

The outcome of event A (choosing a black sock) directly affects the probability of event B (choosing a black sock again).

To explain further, let's consider the initial scenario:

You have 10 white socks and 14 black socks in your drawer.

The total number of socks is 24.

The first sock, there are two possibilities:

Either it is a black sock or a white sock.

If event A occurs and you select a black sock, the total number of black socks in the drawer decreases to 13, while the total number of socks decreases to 23.

If event B to occur (selecting a black sock again), the probability is now influenced by the fact that you have one less black sock and one less sock in the drawer.

The probability of event B will be different from the initial probability of selecting a black sock (event A).

The outcome of event A affects the probability of event B, the two events are dependent.

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The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

SA = 2(lw + lh + hw), where:

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

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The graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.

Thus, the correct option is: It would be less steep.

In mathematics, a graph is a visual representation of a set of objects where some pairs of the objects are connected by links. The objects, which are usually represented by points, are called vertices or nodes, and the links, which are usually represented by lines or arcs, are called edges.

The original function y = 5x + 1 has a slope of 5, which means that for every 1 unit increase in x, y increases by 5 units.

The new function y = 2x + 1 has a slope of 2, which is less steep than the slope of the original function.

However, the y-intercept of both functions is the same, which is 1.Therefore, the graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.

Thus, the correct option is: It would be less steep.

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Answer:

number 2

Step-by-step explanation:

A cougar did not attack to the victim.ibthinj this is answer

Answer:

This means that the domain of this situation is \(m \in [0,200]\), that is, you can talk between 0 and 200 minutes in the month.

Step-by-step explanation:

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for the phone service.

This means that the cost of speaking for m minutes is given by:

\(C(m) = 8 + 0.12m\)

You can talk for no more than 200 minutes in a month.

This means that:

\(m \leq 200\)

What is the domain of this situation?

The domain of a function is the input variable.

In function C(m), m is the input variable, and since you can talk for no more than 200 minutes in a month, the restriction for the input is \(m \leq 200\).

This means that the domain of this situation is \(m \in [0,200]\), that is, you can talk between 0 and 200 minutes in the month.

Answer:

(a) The average rate of change from 0 to 2 is 6

(b) The average rate of change from 3 to 5 is 24

(c) The average rate of change from -3 to 0 is -9

Step-by-step explanation:

The formula for the average rate of change (AROC) is given by:

\(AROC=\frac{f(b)-f(a)}{b-a}\)

(a):

Finding the AROC from 0 to 2

To find the average rate of change from 0 to 2, we use f(2) and f(0), while we plug in 2 for b and 0 for a:

\(\frac{f(2)-f(0)}{(2-0)}\\ \\\frac{((3(2)^2+4)-(3(0)^2+4))}{(2-0)} \\\\\frac{(16-4)}{(2)}\\ \\\frac{12}{2}\\ \\6\)

Thus, the average rate of change from 0 to 2 is 6.

(b):

Finding the AROC from 3 to 5:

To find the average rate of change from 3 to 5, we use f(5) and f(3), while we plug in 5 for b and 3 for a:

\(\frac{f(5)-f(3)}{(5-3)}\\ \\\frac{((3(5)^2+4)-(3(3)^2+4))}{(2-0)} \\\\\frac{(79-31)}{(2)}\\ \\\frac{48}{2}\\ \\24\)

Thus, the average rate of change from 5 to 3 is 24.

(c):

To find the average rate of change from -3 to 0, we use f(0) and f(-3), while we plug in 0 for b and -3 for a:

\(\frac{f(0)-f(-3)}{(0-(-3))}\\ \\\frac{((3(0)^2+4)-(3(-3)^2+4))}{(0+3)} \\\\\frac{(4-31)}{(3)}\\ \\\frac{-27}{3}\\ \\-9\)

Thus, the average rate of change from -3 to 0 is -9.

Answer:

(x,y)+(2,2)

Step-by-step explanation:

Answer://

Step-by-step explanation:

Thus, the height of flagpole from the ground is found as 23.34 feet.

The measurement of the angle between a person's eyes' line of sight to anything above and the horizontal line is known as the angle of elevation.

The movement of the observer's eyes determines the elevation angle. The angle of elevation is the angle formed by the line of sight and the horizontal line when a viewer is looking up at an object.

Given data:

Using the trigonometric ratios in the right triangle ABE.

tan 35 = h / 30

h = 30* tan(35)

h = 18.34

Height of flagpole = 18.34 + 5 = 23.34 feet

Thus, the height of the flagpole from the ground is found as 23.34 feet.

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Answer:

n = -4

Step-by-step explanation:

Start off by remembering PEMDAS which first P means parenthesis so use distributive property to multiply the 2n + 4 by the 3 in front of it and do the same to the n + 1 and multiply that by the 5 in front which turns your question into 6n+12-2=1+5n+5 so now i'd combine like terms on both sides which now gives you 6n + 10 = 5n +6 so now to get the n on one side i'm going to sub tact it from both sides doesnt matter which one you do but to make it easier i'd subtract the 5n from the 6n because the whole point is to solve for n and by doing that you'd already be getting it by itself. so now the question should look like n + 10 = 6 so subtract 10 from both sides to isolate the n and you get your answer n = -4

Answer:

N = - 4

Step-by-step explanation:

3 (2n+4)-2=1+5(n+1

distribute 3 through the paretheses

6n+12-2=1+5n

add the numbers

6n+10=6+5n

move constant to the right-hand side and change its sign

6n-5n=6-10

calculate the difference

n = - 4

Answer:

1) \(f'(t)=4t,\ g'(t)=3t^2+4\)

2) \(p(t) =2t^5+8t^3\)

\(p'(t)=10t^4+24t^2\)

3) False

4)\(q(t) =\dfrac{1}{2}t+2t^{-1}\)

\(q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}\)

5) False

Step-by-step explanation:

Given that:

\(f(t) = 2t^2\) and \(g(t) = t^3 + 4t\)

Formula:

\(1. \dfrac{d}{dx}x^n=nx^{n-1}\)

\(2. \dfrac{d}{dx}C.f(x)=C.f'(x)\ \{\text{C is a constant}\}\)

1) Using above formula:

\(f'(t)=2\times 2 t^{2-1}=4t\)

\(g'(t)=3t^{3-1}+4\times 1 t^{1-1}=3t^2+4\)

2) \(p(t) =2t^2(t^3+4t)\)

Rewriting the formula by distributing the \(2t^2\) term:

\(p(t) =2t^2.t^3+2t^2.4t=2t^5+8t^3\)

\(p'(t) = 10t^4+24t^2\)

3) By using answers of part (1):

\(f'(t).g'(t)=12t^3+16t\)

\(p'(t) = 10t^4+24t^2\)

Therefore it is False that \(p'(t) = f'(t).g'(t)\)

4) \(q(t)=\dfrac{t^3+4t}{2t^2}\)

Writing by distributing:

\(q(t)=\dfrac{t^3}{2t^2}+\dfrac{4t}{2t^2}\\\Rightarrow q(t) =\dfrac{t}{2}+\dfrac{2}{t}\\\Rightarrow q(t) =\dfrac{1}{2}t+2t^{-1}\)

Using the formula:

\(q'(t)=\dfrac{1}{2}t^{1-1}+2\dfrac{-1}{t^2}\\\Rightarrow q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}\)

(5)By using answers in part (1):

\(\dfrac{g'(t)}{f'(t)}=\dfrac{3t^2+4}{4t}=\dfrac{3}{4}t+\dfrac{1}t\)

\(q'(t)=\dfrac{1}{2}-\dfrac{2}{t^2}\)

Therefore, it is False that:

\(q'(t)=\dfrac{g'(t)}{f'(t)}\)

Answer:

yes because angle 1 and 5 are congruent

Answer:

C

Step-by-step explanation:

The quotient of\((6x/(3x+15)) / ((x^2+2x)/ (x^2+7x+10))\) is 2x.

To simplify the expression\((6x/(3x+15)) / ((x^2+2x)/ (x^2+7x+10)),\) we can use the rule for dividing fractions, which states that dividing by a fraction is the same as multiplying by its reciprocal.

Let's simplify the expression :

Simplify the numerator and denominator of the first fraction.

The numerator is 6x, and the denominator is (3x+15).

We can factor out a common factor of 3 from the denominator, which gives us 3(x+5).

So the first fraction simplifies to 6x / 3(x+5).

Simplify the numerator and denominator of the second fraction.

The numerator is (x^2+2x), and the denominator is \((x^2+7x+10).\)

We can factor both the numerator and denominator:

Numerator: x(x+2)

Denominator: (x+5)(x+2)

Canceling out the common factor of (x+2), we are left with x / (x+5).

Multiply the two simplified fractions.

Multiplying the fractions, we get:

\((6x / 3(x+5)) \times (x / (x+5))\)

Simplify the resulting expression.

Canceling out the common factor of (x+5) in the numerator and denominator, we are left with:

2x / 1

So the quotient simplifies to 2x.

Therefore, the quotient of \((6x/(3x+15)) / ((x^2+2x)/ (x^2+7x+10))\) is 2x.

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Answer:

The Top 5 Sources of Data on your Website

Reports: Conversion funnel and pathing. Study these reports.  

Internal search queries. This seems like a no-brainer, but some brands forget to assess what people are searching for on their website.

Store locators.

Reviews & Customer Service inquiries.

Domain reports

Hope its what u r looking forward to..!

Answer:

24/25

Step-by-step explanation:

flip the sign to multiplication and change 5/8 to 8/5 and multiply straight across.

3/5 x 8/5 = 24/25

Answer:

12 is the answer

Step-by-step explanation:

18- 3×2= 18- 6 = 12

The probability that a point falls in the red-shaded square is given as follows:

p = 9/16.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The probability that a point falls in the red shared square is then given by the division of the area of the red shaded square by the division of the area of the larger square.

The area of the red-shaded square is given as follows:

3² = 9.

The area of the larger square is given as follows:

4² = 16.

Hence the probability is given as follows:

p = 9/16.

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Answer:

set D (-10, -7, 0, 98, 145) has only integers

An integer is a whole number or a number that is not a fraction. An integer is a number that completes it's self and needs nothing more

Answer:

set d. and omg your screen

Step-by-step explanation:

The equation of the line passing through the given points is y = 6x

Given that are the values of x and y coordinates we need to find the equation of the line using them,

So, considering the points (4, 24) and (5, 30),

We know that the equation of a line passing through points (x₁, y₁) and (x₂, y₂) is =

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here (x₁, y₁) and (x₂, y₂) are (4, 24) and (5, 30),

Therefore, the required equation is =

y-24 = 30-24/5-4 (x-4)

y-24 = 6(x-4)

y-24 = 6x-24

y = 6x

Hence, the equation of the line passing through the given points is y = 6x

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