The points (p, -2) and (6, 8) fall on a line with a slope of -10. What is the value of p?
Thank you!

Answer:

n = 36

Step-by-step explanation:

\(\frac{28}{n}\)=\(\frac{7}{9}\)

=> 28 x 9 = n x 7

=> 252 = 7n

=> n = 252 ÷ 7 = 36

Answer:

n= 36

Step-by-step explanation:

solve for n by cross multiplying

Hope this helped you :)

Answer:

I believe its (-6, 7)

Answer: The total surface area of the toy chest is 212.754 square feet (ft²)

Step-by-step explanation:

The total surface area of the rectangular prism can be found using the formula:

SA = 2 ( lw + lh + wh ),

where: l = 8.25 ft, w = 6 ft, h = 3 ft

The width of the prism is found with the diameter of the cylinder, and the height of the prism is equal to the radius, which is half of the diameter of the cylinder.

In this case, the top of the rectangular prism is covered, so we'll just account for one of them, which would look like:

2 ( wh+ lh ) + lw

Now, the surface area of a full cylinder is:

SA = 2 * pi * radius * height

But, in this case, the cylinder is cut in half, so we just divide the total surface area by 2.

SA = pi * radius * height

pi = 3.14159

radius = 3

height = 8.25

All together, the formula for the total surface area would look like:

2 ( wh+ lh ) + lw + (pi * radius * height)

∴ if we plug in the values we get:

2 ( 8.25 * 3 + 6 * 3 ) + 8.25 * 6  + ( 3.14159 *  3 * 8.25 )  =

212.754 feet squared (ft²)

Answer:

123

Step-by-step explanation:

Answer:

the answer is not b

Step-by-step explanation:

The random sampling used is stratified random sampling

The most accurate type of probability sampling is random sampling. Each person in a population has an equal probability of getting selected for the sample thanks to this method of sampling.

This kind of sampling is perfect for highly controlled investigations where it is unacceptable to have human bias in the selection of the sample.

Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS). As a result, each potential sample has an equal probability of being chosen.

Given data ,

Mark used a stratified random sampling method by dividing the list of students into boys and girls and drawing from each group in proportion to their numbers in the population. This method helps ensure that the sample is representative of the population in terms of gender.

Hence , the sample is likely to represent the population. Answer: C. Yes, stratified random sampling.

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Answer:

4x−2y=6 is 21

Step-by-step explanation:

Answer:

Y intercept=3

4(0)+2y=6

y=3

slop=m=-2

y=-2x+3

y=mx+b

M=-2

Step-by-step explanation:

The result of addition of the two equations 2x + 3y=-5 and 5x - y = -12 is 7x + 2y = -17.

We have to add the two equations 2x + 3y = -5 and 5x - y = -12.

In algebra, like terms can be added or subtracted. Two equations can be added by adding their L.H.S to L.H.S and R.H.S to R.H.S. (L.H.S is Left hand side and R.H.S is Right hand side)

Adding the two equations,

2x + 3y + 5x - y = (-5) + (-12)

2x+5x+3y-y= -5-12

7x + 2y = -17

Hence, by adding 2x + 3y = -5 and 5x - y = -12, we get 7x + 2y = -17.

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Answer:

∴Given Δ ABC is not a right-angle triangle

a= AB = √45 = 3√5

b = BC = 12

c = AC = √45 = 3√5

Step-by-step explanation:

Given vertices are A(3,3) and B(6,9)

           AB =

Given vertices are  B(6,9) and C( 6,-3)

            =  

   BC = 12

Given vertices are  A(3,3) and C( 6,-3)

AC² = AB²+BC²

45  = 45+144

45  ≠ 189

∴Given Δ ABC is not a right angle triangle

Step-by-step explanation:

Answer:

V=82944

Step-by-step explanation:

FORMULA (Im guessing u just wanted answer but if u want formula there u go.

V= 1/3(a^2h)

Answer:

\(576 ~cubic ~centimeters\)

Step-by-step explanation:

\(B=144cm^2\)

\(h=12cm\)

\(V=1/3~B*h\)

\(=1/3(144)(12)\)

\(=576 cm\)

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

hope it helps...

have a great day!!

Answer:

f(x) = x – 4

checking for all the functions by replacing x as 3

f(x) = 4 – x

f(3) = 4 - 3

f(3) = 1

does not match

f(x) = –4x

f(3) = -4(3)

f(3) = -12

does not match

f(x) = x + 4

f(3) = 3 + 4

f(3) = 7

does not match

f(x) = x – 4

f(3) = 3 - 4

f(3) = -1

matches

Answer:

f(x) = x - 4

Step-by-step explanation:

The options are:

f(x) = 4 – x

f(x) = –4x

f(x) = x + 4

f(x) = x – 4

For f(x) = 4 – x, when x=3, f(x)=1 so it cannot be right.

For f(x) = –4x, when x=3, f(x)=-12 so it cannot be right either.

f(x) = x + 4, when x=3, f(x)=7 so it cannot be right.

The only choice left which is also the right answer is f(x) = x – 4

The characteristic equation of a closed-loop control system with a proportional-integral (PI) controller is given by:

s^2 + (k_i/k_p)s + (1/k_p) = 0

where k_p is the proportional gain and k_i is the integral gain of the PI controller. To find the roots of the characteristic equation, we can use the quadratic formula:

s = (-b ± sqrt(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation. Therefore, the roots of the characteristic equation depend on the values of k_p and k_i, which in turn depend on the specific feedback process being controlled.

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On solving the provided question, we can say that  there are 6 girls for every 2 boys, ratio = 3:1

Ratios show how often one number is contained in another in mathematics. For instance, the ratio of oranges to lemons in a fruit dish is 8 to 6 if there are 8 oranges and 6 lemons present. In a similar vein, the proportion of oranges to whole fruit is 8, while that of lemons to oranges is 6:8. A ratio is an ordered pair of numbers a and b that is expressed as a / b, with b not equal to zero. An equation equating two ratios is known as a ratio. The ratio can be expressed as 1:3, for instance, if there is 1 boy and 3 girls (for every boy she has 3 girls) 3/4 are girls, while 1/4 are boys.

there are 6 girls for every 2 boys.

ratio will be

6/2 = 3/1

ratio = 3:1

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We can say that approximately 36.45% of the adults in the sample support the practice of changing clocks twice a year in observance of Daylight Saving Time.

The sample proportion, denoted by p-hat, is a measure of the proportion of individuals in the sample who support the practice of changing clocks twice a year in observance of Daylight Saving Time. To find p-hat, we divide the number of individuals in the sample who support the practice by the total number of individuals in the sample.

In this case, we have 113 individuals who support the practice out of a total sample size of 310. Thus, the sample proportion (p-hat) is:

p-hat = 113/310

p-hat = 0.3645 (rounded to four decimal places)

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Complete Question

Given that 1 13 out of a random sample of 310 adults indicated that they support the practice of changing clocks twice a year in observance of Daylight Saving Time, what will the sample proportion (or p) be? Please compute this value below and round your answer to three decimal places.

Answer:

Option D can be your answer

The true statement about geometric figure is

One plane can be drawn so it contains all three points.

A plane is a flat, endlessly long, two-dimensional surface. A plane is a two-dimensional analogue that can incorporate three dimensions of space, a line, and a point.

We have three points R, S and T.

So, there are infinitely many planes that pass through the line that contains the three points if the three points are colinear.

There is a plane that contains our three points if we have three separate points in 3-space.

So, For the three points R, S, and T, the third assertion is accurate.

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The point (3, 2) is feasible for the constraint 2x1 + 6x2 ≤ 30. (False)

To determine if a point is feasible for a constraint, we need to substitute the values of the point into the constraint equation and check if the resulting inequality holds true.

In this case, the constraint is 2x1 + 6x2 ≤ 30. Substituting x1 = 3 and x2 = 2 into the equation, we get 2(3) + 6(2) = 6 + 12 = 18. Since 18 is not less than or equal to 30, the inequality is not satisfied.

Therefore, the point (3, 2) is not feasible for the given constraint. Feasible points satisfy the constraint, while infeasible points do not. In this case, any point that lies below the line represented by the constraint equation would be feasible, while points above the line would be infeasible.

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(a) To solve the equation 4x^3 + 4x^2 − 5x + 3 = 0 given that the sum of two of its roots is 2, we can use synthetic division or polynomial factorization to find the roots of the equation. Then we can check which pairs of roots satisfy the given condition of having a sum of 2.

(b) To solve the differential equation y′ = y^2 + 1 with the initial condition y(0) = 0 using the Euler-Cauchy method, we can approximate the solution by using small time steps and updating the value of y iteratively.

(a) For the equation 4x^3 + 4x^2 − 5x + 3 = 0, we can use synthetic division or polynomial factorization to find the roots. Once we have the roots, we can check which pairs of roots have a sum of 2. By factoring the equation, we find that the roots are x = -1, x = 1/2 ± √(3)/2. Checking the pairs of roots, we see that the sum of the roots -1 and 1/2 + √(3)/2 is indeed 2.

(b) For the differential equation y′ = y^2 + 1 with the initial condition y(0) = 0, we can apply the Euler-Cauchy method to approximate the solution. Using a step size of h = 0.1, we can iterate from t = 0 to t = 0.5. At each step, we update the value of y using the formula y(t + h) = y(t) + h * (y(t))^2 + h. By repeating this process iteratively, we can calculate the approximate values of y at the desired time points within the interval [0, 0.5].

By applying the specific method described above, you will obtain the numerical values for the solution of the differential equation over the given interval.

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Answer:

here you go with your answer

Answer: B

Step-by-step explanation:

The equation of the line is \(y=-3x+13\). The only point whose coordinates satisfy this equation is point B.

k=0: (60)(3x)6−0(−4y)0=6!(6−0)!0!(3x)6−0(−4y)0=729x6

k=1: (61)(3x)6−1(−4y)1=6!(6−1)!1!(3x)6−1(−4y)1=−5832x5y

k=2: (62)(3x)6−2(−4y)2=6!(6−2)!2!(3x)6−2(−4y)2=19440x4y2

k=3: (63)(3x)6−3(−4y)3=6!(6−3)!3!(3x)6−3(−4y)3=−34560x3y3

k=4: (64)(3x)6−4(−4y)4=6!(6−4)!4!(3x)6−4(−4y)4=34560x2y4

k=5: (65)(3x)6−5(−4y)5=6!(6−5)!5!(3x)6−5(−4y)5=−18432xy5

k=6: (66)(3x)6−6(−4y)6=6!(6−6)!6!(3x)6−6(−4y)6=4096y6

Thus, (3x−4y)6=729x6−5832x5y+19440x4y2−34560x3y3+34560x2y4−18432xy5+4096y6.

ANSWER  

(3x−4y)6=729x6−5832x5y+19440x4y2−34560x3y3+34560x2y4−18432xy5+4096y6A

Answer:

Below in bold.

Step-by-step explanation:

6 hours 12 minutes = 6.2 hours

7 hours 18 minutes = 7.3 hours.

Average speed = distance / time

So for West to East,  average speed =  3800 / 6.2 = 612.9 km/hour.

- and  for East to West,  average speed =  3800 / 7.3  = 520.5  km/hour.

These values are correct to the nearest tenth.

Explanation

To answer this given question, we will make use of the Empirical rule of normal distribution

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

The image below helps gives a clearer understanding

So in our case, since the mean is 189 mg/dL and the standard deviation is 23

Then we will have the following values at

Answer:

97.2

In mixed number form its 97 1/5

Answer:

\(a_{n}\) = 4n

Step-by-step explanation:

Note that the values on the second row are 4 times the corresponding values on the first row , that is

1 × 4 = 4

5 × 4 = 20

10 × 4 = 40

12 × 4 = 48

15 × 4 = 60

25 × 4 = 100

Then

n × 4 = 4n ← nth term rule

All five answers are (1) 285.7 ft2 (2) 1056 cm2 (3) 105 mm3 (4) 108 cm3 (5) 628 mm3 in accordance with the provided assertion.

In mathematics, volume refers to the amount of space present within a specific 3D object. As an example, the dimensions of a fish aquarium are three feet long, one foot broad, and two feet height.

By increasing the length, width, and height, or 3x1x2, which also equals six, the volume is determined. Consequently, the fish tank has a 6 cubic foot size.

(1) The lateral area of a cone can be calculated using the formula L = πrℓ, where r is the radius and ℓ is the slant height. Using the given values, we have:

L = π(7)(13) ≈ 285.7 ft²

Rounding to the nearest tenth, the answer is 285.7 ft².

(2) A = B + (1/2)Pl, where B is the base area, P is the base circumference, l is the slope height, and A is the surface area, can be used to determine the surface area of a square pyramid. Since the pyramid's foundation is square, we have:

B = (24)² = 576 cm²

The perimeter of the base is 4 times the base length, so we have:

P = 4(24) = 96 cm

Now we can use the formula to find the surface area:

A = 576 + (1/2)(96)(16) = 1056 cm²

Therefore, the surface area of the square pyramid is 1056 cm².

(3) The volume of a rectangular prism can be calculated using the formula V = lwh,

where

l is the length

w is the base

h is the height

V is the volume.

Substituting the given values, we have:

V = (5)(7)(3) = 105 mm³

Therefore, the volume of the rectangular prism is 105 mm³.

(4) The formula V = (1/3)Bh, where B is the base area, h is the height, and V is the volume, can be used to determine the volume of a square pyramid. Since the pyramid's foundation is square, we have:

B = (9)² = 81 cm²

Now we can use the formula to find the volume:

V = (1/3)(81)(4) = 108 cm³

Therefore, the volume of the square pyramid is 108 cm³.

(5) The volume of a cone can be calculated using the formula V = (1/3)πr2h, where r is the radius, h is the height, and V is the volume. Substituting the given values, we have:

V = (1/3)π(10)²(6) ≈ 628.3 mm³

Rounding to the nearest whole number, the answer is 628 mm³.

Therefore, the volume of the cone is 628 mm³.

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Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{4}{3}\) x + \(\frac{5}{3}\) ← is in slope- intercept form

with slope m = \(\frac{4}{3}\)

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 8 = \(\frac{4}{3}\) (x + 6) ← is in point- slope form

with slope m = \(\frac{4}{3}\)

Parallel lines have equal slopes, thus

The 2 given lines are Parallel

The answer is:

B- Distinct Parallel Lines (DPL)

Answer:

3 = ?

Step-by-step explanation:

The triangles are similar, so we  can use ratios

15           12 -2

------   = --------------

15+?          12

15           10

------   = --------------

15+?          12

Using cross products

15 * 12 = 10 ( 15+?)

180 = 10 ( 15+?)

Divide each side by 10

18 = 15+?

Subtract 15 from each side

18-15 = 15+?-15

3 = ?

Answer:

90

Step-by-step explanation:

In a baseball league of 10 teams, 405 games are needed to complete the schedule if each team plays 9 games with each other.

Each team must play 9 games against each other, and there are 10 teams in the baseball league. We'll need to figure out how many games that means each team will play.Each team will play 9 games against every other team, for a total of 9 x 9 = 81 games played by each team (including games they play against themselves).Since there are 10 teams in the league, the total number of games played will be:

81 x 10 = 810.

However, each game is played between two teams, so we must divide by 2 to get the total number of games:

810 / 2 = 405.So, there will be 405 games played in the league.

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The angles based on the information will be 80° and 100°.

The inside angles total 180 degrees and are known as co-interior angles. It indicates that two internal angles that are on the same side of the transversal have a sum that is additional. The co-interior angles are not equal to one another and approximate a "C" form.

Let the two angles be 4x and 5x

The sum of the co interior angles is 18∘

∴4x+5x= 180

9x= 180∘

x = 180 / 9

x = 30°

So the angles are 4×20° = 80°

and 5×20° = 100°

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Answer:

The answer is 98 square cm

Step-by-step explanation:

14/2=7

14*7=98