A line that includes the points (5, 4) and (3, a) has a slope of -3. What is the value of a?
a =

The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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To calculate the volume of a figure just as explained we calculate the base area and then "stretch," that is, multiply it by the height to get the volume of the three-dimensional figure.

An example has been given of a box.

Now to calculate the volume of a cylinder, we start by following the same procedure as follows;

Note that the circle which is the base is the same at both ends of a cylinder, hence we simply stretch, that is multiply this by the height.

Therefore the volume of a cylinder is given by the formula;

ANSWER:

Answer:

Step-by-step explanation:

You want the initial population and the population after 4 hours if its doubling time is 15 minutes, and the population is 60,000 after 110 minutes.

We like to use the numbers in the problem when writing the exponential equation. Here, we are given a doubling time and a population that is ...

  (minutes, population) = (110, 60000)

We can put these numbers in the form ...

  p(t) = (value at t1) · (growth factor)^((t -t1)/(growth period))

where the growth factor (2) is applicable over the growth period (15 minutes).

This makes our equation ...

  p(t) = 60000(2^((t-110)/15))

We want to find p(0) and p(240). (240 is the number of minutes in 4 hours). The attachment shows the calculations.

The population at t=0 was about 372.

The population after 4 hours will be 24,382,480.

__

Additional comment

A lot of times, you'll see this rewritten as an exponential equation with 'e' as the base. Here, that would be ...

  p(t) = 372·e^(0.0452098t)

where 372 = p(0) = 60000·2^(-110/15), and 0.0452098 ≈ ln(2)/15

These rounded numbers don't give the problem statement values exactly:

  p(110) = 53743, not 60000, for example. You would get a population of 60000 after 112.4 minutes (approximately).

<95141404393>

The probability of randomly selecting two women from 884 subjects is 1.

The probability of randomly selecting two women from 884 subjects can be calculated using the following formula: P(A and B) = P(A) x P(B). In this case, A is the event of randomly selecting a woman from 884 subjects and B is the event of randomly selecting a second woman from the remaining 883 subjects.

Therefore, P(A) = 884/884 = 1 and P(B) = 883/883 = 1. Thus, P(A and B) = 1 x 1 = 1. Then, the probability of randomly selecting two women from 884 subjects is 1. To round to four decimal places, the probability is 0.0000.

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Answer:

Step-by-step explanation:

Answer:

The elevation of the surf shop is 12.8

Step-by-step explanation:

I hope this helps

Answer:

bruce

y = 1/4 x

Step-by-step explanation:

9 tiles per sq ft for felicia

so 1/9 sq ft per tile

so bruce covers more

Answer: V = whl

Step-by-step explanation:

V - Volume

w - width

h - height

l - length

multiply all of these and you’ll get the answer! good luck and hope this helps!

Answer:

V= W x L x H

Step-by-step explanation:

W= width

L= length

H= height

Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer:

C

Step-by-step explanation:

Its not A  because she can't withdraw it for however many years.

Its not B because creating a new income stream is a long term investment.

Its not D because it says she buys stock of a long-term performing company

Answer:

NO

Step-by-step explanation:

No. The sample of only the 2 fastest swimmers on the swim team is not likely to be representative of the entire swim team. It may not include swimmers with different skill levels or performance abilities, which could lead to a biased representation of the team as a whole. To have a representative sample, it would be necessary to include a diverse range of swimmers from different skill levels and performance abilities.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

If you do not want cell references to change when you copy a formula, then make those cell references absolute cell references. Place a "$" before the column letter if you want that to always stay the same. Place a "$" before a row number if you want that to always stay the same.

Step-by-step explanation:

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

<95141404393>

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Answer:

C is the right answer

Step-by-step explanation:

Hope it helps

Considering the given sample, it is found that:

a) The confidence interval is: (71.43, 77.17).

b) The interval does not contain 78, hence the manufacturer's claim is not correct.

c) The sample size needed is: 55.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 12 - 1 = 11 df, is t = 2.201.

Using a calculator, the other parameters for the interval are given as follows:

\(\overline{x} = 74.3, s = 4.52, n = 12\)

Hence the lower bound of the interval is:

74.3 - 2.201 x 4.52/sqrt(12) = 71.43.

The upper bound is:

74.3 + 2.201 x 4.52/sqrt(12) = 77.17.

For item c, we have that:

The margin of error is:

\(M = z\frac{\sigma}{\sqrt{n}}\)

Then the sample size is obtained when M = 1.04 as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(1.04 = 1.96\frac{3.91}{\sqrt{n}}\)

\(1.04\sqrt{n} = 1.96 \times 3.91\)

\(\sqrt{n} = \frac{1.96 \times 3.91}{1.04}\)

\((\sqrt{n})^2 = \left(\frac{1.96 \times 3.91}{1.04}\right)^2\)

n = 55. (rounded up).

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The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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The first step is to express each number in terms of its prime factors

Therefore,

68 = 2 * 2 * 17

170 = 2 * 5 * 17

153 = 3 * 3 * 17

We can see that the only factor that is common to the three numbers is 17

Therefore,

Highest common factor = 17

h = hours till they're 58 miles apart

Check the picture below.

so they're travelling in opposite directions, however the combined distances is 58 miles at say "h" hours, by the time that happend Hopi has been walking "h" hours and Brittany has also being walking "h" hours too.

Since the combined distance is 58 miles than if Hopi has covered "m" miles then Brittany covered the slack of "58 - m".

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hopi&m&15&h\\ Brittany&58-m&14&h \end{array}\hspace{5em} \begin{cases} m=(15)(h)\\\\ 58-m=(14)(h) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{substituting on the 2nd equation}}{58-(\stackrel{m}{15h})=14h}\implies 58=29h\implies \cfrac{58}{29}=h\implies \boxed{2=h}\)

Mario's new percent is the new mean, that is to say 81% B

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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When CG = 3 in., CH = 2 in. and GE = 5 in. the information made available in the question is not enough to solve for DH

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Examining the figure, shows that lines GH and DE should be parallel to create similar triangles

For similar triangles the sides are proportional and this can be used to solve for DH using the equation below'

CG / CE = CH / CD

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The complete question is attached

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Answer:

1.25

Step-by-step explanation:

I did this question before and got it right

Answer:1.25

Step-by-step explanation:

Im Very sorry for the bots (I hate when they do this) BUT the answer is 8ft 3 Hope it helps!!

To create an exact copy of the sculpture, the volume of material they must purchase is \(8\,\text{f}{{\text{t}}^{3}}\).

The volume of a cuboid is calculated by multiplying its length, width, and height.

The length and width of the triangle are identical since the base is a square.

\(L = W = 2\,{\text{ft, and }}H = 6\,{\text{ft}}\)

Knows the volume of material he must purchase,

\(\text{Volume}=\frac{\text{Height}\times \text{length}\times \text{width}}{3}\)

So,

\(\Rightarrow \text{Volume}&=\frac{2\times 2\times 6}{3} \\\Rightarrow \text{Volume}&=2\times 2\times 2\,\text{f}{{\text{t}}^{3}} \\ \Rightarrow \text{Volume}&=8\,\text{f}{{\text{t}}^{3}} \\\)

Therefore, the volume of material they must purchase is \(8\,\text{f}{{\text{t}}^{3}}\).

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a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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Answer:

D

Step-by-step explanation:

Subtract 60 from 80 to get 20, and divide 20 by 80 to get 1/4, which can be converted to 25%.

Answer:

i think its D but im not exactly sure