I will mark you brainliest!!!! Which equation represents a line that passes through the two points in this table?

Answer:

-6

Step-by-step explanation:

y = -6x - 5

The equation is put in slope intercept form

( y = mx + b )

Where m = slope and b = y intercept

-6 is in the spot of "m"

Meaning that the slope would be -6

Answer:

slope is -6

Step-by-step explanation:

y = mx+b

m is slope :)

b is the point, where the line intersects the y axis

Therefore, the formula for p, the number of regions bounded by pentagons, using the fewest variables possible is p = (3v - 6h) / 5.

Since g is a 3-regular graph, each vertex is connected to exactly three edges. Let's consider the total number of edges in g as e and the total number of vertices as v.

Each pentagon consists of 5 edges, and each hexagon consists of 6 edges. Since each edge is shared by exactly two regions, we can express the total number of edges in terms of the number of pentagons and hexagons:

e = (5p + 6h) / 2

The total number of edges can also be expressed in terms of the vertices and the degree of the graph:

e = (3v) / 2

Setting these two expressions equal, we have:

(5p + 6h) / 2 = (3v) / 2

Simplifying, we get:

5p + 6h = 3v

We can rearrange this equation to express p in terms of h and v:

p = (3v - 6h) / 5

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Answer:

it b

Step-by-step explanation:

Ms. Howard's salary would be $360. Below, you will learn how to solve the problem.

Ms. Howard's salary can be found by first calculating the amount of money spent on groceries, entertainment, and transportation. 1/3 of her monthly salary was spent on groceries, so that would be $(1/3)x where x is her salary, 1/4 of her monthly salary was spent on entertainment, so that would be $(1/4)x. 2/5 of the remaining amount was spent on transportation, which is $(2/5)(x-(1/3)x-(1/4)x).

Ms. Howard then had $270 left, so we can set up the equation:

$(1/3)x + $(1/4)x + $(2/5)(x-(1/3)x-(1/4)x) = 270

Solving for x, Ms. Howard's salary would be $360.

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\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)

Answer:

16.4

Step-by-step explanation:

80/5 = 16

2/5 = 0.4

16 + 0.4 = 16.4

Answer:

19/12

Step-by-step explanation:

1.75=7/4

7/4-1/6

21/12-2/12

19/12

Answer:

19/12

Step-by-step explanation:

1.75=7/4

7/4-1/6

21/12-2/12

19/12

Answer:

34% see explanation below

Step-by-step explanation:

The total number who likes pizza is 73 and the total number of people surveyed is 215

So it'll just be 73/215 × 100 (for the percentage)

Answer:

the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Step-by-step explanation:

Answer:

algebra is basically where you have math, and you have to find an unknown number that is represented by a letter

Step-by-step explanation:

Answer:

r = 6 cm

Step-by-step explanation:

The volume of a sphere is 288 pi cm tripled . Find the lenght of a radius of a SPHERE.What is the answer and how did you do it?

-------------------

The volume of a sphere of radius r is:

V+=+4%2Api%2Ar%5E3%2F3

It's r cubed, not tripled. meaning r*r*r

-------------------

288pi+=+4%2Api%2Ar%5E3%2F3

864+=+4r%5E3

r%5E3+=+216

r = 6 cm

Juana would have to pay approximately $29.40 in interest for the $10,686.00 loan over a 20-day period, assuming an annual interest rate of 5.79%.

The interest Juana would have to pay in 20 days can be calculated using the formula:

Interest = Principal × Interest Rate × Time

In this case, the principal amount is $10,686.00 and the interest rate is 5.79% per annum. To calculate the interest for 20 days, we need to convert the time to a fraction of a year. Since there are 365 days in a year, the time in years would be 20/365.

Using the formula and substituting the values:

Interest = $10,686.00 × 0.0579 × (20/365)

Calculating this expression, we find that the interest amount Juana would have to pay in 20 days is approximately $29.40.

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The graph that grows the fastest is green i.e., the graph of exponential function.

In this question we need to determine which  graph grows the fastest.

Given graph contains graph of quadratic function (blue colored graph), exponential function (green colored graph), cubic function (pink colored graph) and linear function (black straight  line)

We know that the exponential function grows faster because it grows by a factor that is multiplied by the previous y-value instead of being added

like the linear function.

In given graph the green function is an exponential function and it grows the fastest.

Therefore, the green graph grows the fastest.

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Consider following image.

Answer:

Step-by-step explanation:

1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.

2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.

3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.

A radius that meet the chord at center C, and divides it into two equal parts.

So that;

AC = CB = 5 units

Applying Pythagoras theorem to ΔOCB,

OC = d, CB = 5 units and OB = 13 units

\(13^{2}\) = \(5^{2}\) + \(d^{2}\)

169 = 25 + \(d^{2}\)

169 - 25 = \(d^{2}\)

144 = \(d^{2}\)

⇒ d = \(\sqrt{144}\)

       = 12 units

Therefore, the chord is at a distance of 12 units to the center of the circle.

A chord is a straight line joining 2 points on the circumference of a circle.

The line that connects any two points of the circumference of a circle is known as a chord.

Theorem: A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.

Converse: The perpendicular bisector of a chord passes through the center of a circle.

Problem: In the given figure the radius of the circle is 5 cms. what is the length of the chord?

Solution:

Given to us,

radius of the circle, r = 5 cms,

RA = 1 cm,

Radius, r = OA = OP = OQ = 5 cms.

Also, OR = OA - OR = 4 cms.

In ΔOPQ,

According to Pythagorus theorum,

OP² = OR² + RP²

5² = 4² + RP²

RP² = 25 -16 = 9

RP = 3,

We know,

A radius or diameter that is perpendicular to a chord divides the chord into two equal parts and vice versa.

A radius (OA) that is perpendicular to a chord divides the chord into two equal parts(RP = RQ).

Therefore, chord = RP + RQ = 3+3 = 6 cms.

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Amount of interest on loan at Rimrock Bank, using ordinary interest at a rate of 15%, is $48,750 and at rate of 14.5%, is $47,125. In Southside National Bank , interest at a rate of 15%, is $49,500.

To compete with Rimrock Bank's offer, Southside National Bank would need to quote a rate of 14.38% using exact interest.                                    (a) To calculate the amount of interest on the loan at Rimrock Bank, we use the formula I = PRT, where I is the interest, P is the principal amount, R is the interest rate, and T is the time in years. Plugging in the values, we have I = $1,300,000 * 0.15 * (90/365) = $48,750.

(b) The amount of interest on the loan at Southside National Bank using exact interest is calculated the same way as in part (a), resulting in I = $1,300,000 * 0.15 * (90/360) = $49,500.                                                        (c) Similarly, using the same formula, we find the interest on the loan at Rimrock Bank with a rate of 14.5% to be I = $1,300,000 * 0.145 * (90/365) = $47,125.

(d) To determine the rate at which Southside National Bank should quote to compete with Rimrock Bank's last offer, we subtract the given interest difference of $1,125 from the interest calculated in part (b). Solving for R, we have $48,750 - $1,125 = $1,300,000 * R * (90/360). Solving this equation results in R ≈ 0.1438, which is 14.38% rounded to the nearest hundredth of a percent.

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Answer:

-3x+3y-15

Step-by-step explanation:

;)

Answer:

-3x+3y-15

Step-by-step explanation:

-3*x= -3x

-3*-y= 3y

-3*5= -15

A recursive definition for the set Y of all positive multiples of 3 can be given as:

1. The number 3 is in Y.

2. If n is in Y, then n + 3 is also in Y.

This definition states that Y is the set that contains 3 as its first element, and any subsequent element in Y can be obtained by adding 3 to a previous element in Y.

Thus, the set Y can be generated recursively by applying the second rule to each element of Y, starting with 3.

For example, using this definition, we can generate the set Y as follows:

Starting with 3, we add 3 to get 6. Then, we add 3 to 6 to get 9.

Continuing in this way, we get 12, 15, 18, 21, 24, 27, 30, 33, and so on.

Therefore, the set Y can be defined recursively as Y = {3} ∪ {n + 3 : n ∈ Y}.

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The value of ∠NLM = 29 degree

A triangle is a polygon with three sides , angles and vertices.

It is given that a Δ LNM is cut by a bisector

The bisector forms a right angle at the base and splits in tnto two congruent lengths

LN = NM

∠LNM = 6x +1

∠NML = 4x -11

∠NLM = ?

∠NLM =∠NML  = 4x -11

as 6x +1 is the value of the angle bisector

By the angle sum property

4x -11 +4x -11 + 12x+2 = 180

20x = 200

x = 10

The value of ∠NLM =

4x - 11 = 4 * 10 - 11 = 29 degree

Therefore the value of ∠NLM = 29 degree

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Answer: A.) ✔ 29 degrees

Step-by-step explanation: i hope this helps :)

The upper quartile, Q3, of the given data set, is 54.

The upper quartile, Q3, is a measure of central tendency that represents the 75th percentile of a given dataset. It divides the data into two halves, with the upper half representing the range of values from Q3 to the maximum value. In order to find the upper quartile, we first need to arrange the data set in ascending order: 18, 23, 27, 30, 31, 35, 38, 42, 46, 49, 53, 54, 57, 61, 66.

Next, we need to determine the position of Q3 in the dataset. Since there are 15 data points in the set, Q3 will be located at the 75th percentile or 11.25th data point. To find the exact value of Q3, we can use the following formula:

Q3 = (0.75 * (n + 1)th term) + (0.25 * (n)th term)

where n is the number of data points in the set. Substituting the values, we get:

Q3 = (0.75 * 16th term) + (0.25 * 15th term)
Q3 = (0.75 * 12) + (0.25 * 11)
Q3 = 9 + 2.75
Q3 = 11.75

Therefore, the upper quartile, Q3, of the given data set is 54.

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The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is 170 Litres.

Amount of kerosene in first tanker = 850 litres

Amount of kerosene in Second tanker = 680 litres

The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times will be the HCF of amount of kerosene in first tanker and amount of kerosene in second tanker i.e., HCF of 850 litres and 680 litres.

To calculate HCF of 850 and 680 , we can write

850 = 2 × 5 × 5 × 17

680 = 2 × 2 × 2 × 5 × 17

HCF of 850 and 680 = 2 × 5 × 17 = 170

The maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times is 170 Litres.

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Answer:

Cant see it but if you want to answer go to their profile click on it, go to her question page and go press her latest question.

With 99% certainty, we can state that the true population mean for the time it takes grass seed to germinate is between 32.69 and 39.31 days.

We will apply the following formula to determine the confidence interval for the population mean:

Sample mean minus margin of error yields the confidence interval.

where,

Margin of error is equal to (critical value) x (mean standard deviation).

A t-distribution with n-1 degrees of freedom (where n is the sample size) and the desired confidence level can be used to get the critical value. The critical value is 2.878 with 18 degrees of freedom and a 99% level of confidence.

The population standard deviation divided by the square root of the sample size yields the standard error of the mean.

The standard error of the mean in this instance is:

Mean standard deviation is = 5 / \(\sqrt{(19) }\) = 1.148.

Therefore, the error margin is:

error rate = 2.878 x 1.148

= 3.306.

Finally, the confidence interval can be calculated as follows:

Confidence interval is equal to 36 3.306.

= [32.69, 39.31].

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Answer:

what is this? ahdhdjxkdjjshsysusiiaiajsjjdyxc

Answer:

Answer is A -  Angles that are congruent are complementary to the same angle.

Step-by-step explanation:

trust the process

1. The graph will represent a proportional relationship if these two following statements are correct.

2. The coordinate (x,y) represents the amount of money y earned for washing x cars.

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

Hence the coordinate (x,y) represents the amount of money y earned for washing x cars.

The problem is incomplete, hence the answer is given in general terms using concepts of proportional relationships.

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Answer:

it is 4a-9....................

Been a while since I've done synthetic division.

1a. Let's assume that's supposed to be an equals sign

p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6

possible rational roots have factors of 6 in the numerator and of 2 in the denominator.  We'll only worry about negative numerators.

Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6

Factors of 2: 1,2

Possible rational roots:

(dividing by 1:) 1,-1,2,-2,3,-3,6,-6

(dividing by 2:) 1/2, -1/2  (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2

Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2

Synthetic division, trying x=1,

   1 | 2  -3  -6  5  6

             2  -1  -7  -2

       2    -1  -7  -2  4

Got a remainder of 4, so 1 isn't a root;

Trying x=-1  

-1 | 2  -3  -6  5  6

         -2   5  1  -6

     2  -5  -1  6  0

Zero remainder, found a root, x=-1.  This division says

(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6

Same set of rational roots on the cubic, we continue with x=2

2 | 2 -5 -1 6

         4 -2 -6

    2  -1 -3 0

Another zero remainder, x=2 is a root.  We're left with 2x² - x - 3 = 0, which factors as

(2x - 3)(x + 1) = 0

That's a second factor of x+1.  Our final factorization is

2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)

Fourth degree with a positive leading coefficient so goes to +infinity at both ends.  Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.  

I'll leave the actually sketching and the other two polynomials to you -- that took some time.

The numerical length of RS is 16.

Given, Point R is on line segment QS.

A line segment in geometry has two different points on it that define its boundaries. A stretch of a line that connects two locations is frequently referred to as a line segment. A line has no ends and can continue indefinitely in either direction, which is how it differs from a line segment.

QR = 4 , QS = 4x and RS  = 5x ₋ 9

we know that,  QS ₊ RS = QR

⇒ RS = QR ₋ QS

⇒ 5x ₋ 9 = 4x ₋ 4

unknown items move to the left of the equal sign and known items move to the right of the equal sign.

5x ₋ 4x = 9 ₋ 4

x = 5

therefore, RS = 5x ₋ 9

= 5(5) ₋ 9

= 25 ₋ 9

= 16

hence we get the length of RS as 16.

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Step-by-step explanation:

The volume of the container is:

V = l × w × h = 5m × 5m × 8m = 200 m³

The density is:

density = mass / volume

We are given the mass is 100 kg.

density = 100 kg / 200 m³ = 0.5 kg/m³

Therefore, the density of the shipping container is 0.5 kg/m³.

Answer: 0.5 kg/m^3

Step-by-step explanation:

To find the density of the shipping container, we need to divide its mass (weight) by its volume. The mass of the container is given as 100 kg.

To find the volume of the container, we need to multiply its length, width, and height. Therefore, the volume is:

V = l × w × h = 5 m × 5 m × 8 m = 200 m^3

Now we can find the density by dividing the mass by the volume:

Density = Mass / Volume = 100 kg / 200 m^3

Density = 0.5 kg/m^3