14/7=n/21 what is the value of n

The value of d in the given angles using the concept of complementary angles is; d = 13

Complementary angles are defined as angles that add up to 90 degrees.

Now, we are told that one angle measures 18°, and another angle measures (6d − 6)°. This tells us that;

(6d - 6) + 18 = 90

Expanding the bracket gives us;

6d - 6 + 18 = 90

6d + 12 = 90

6d = 90 - 12

6d = 78

Use division property of equality to divide both sides by 6 to get;

6d/6 = 78/6

d = 13

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Answer:

14/15

Step-by-step explanation:

Answer:

i got 14/15 sorry if im wrong but i hope I helped<3

Answer: C. is not correct because angle 2 and angle 5 are same side interior angles. Same side interior angles of parallel lines always add up to 180 degrees. Therefore, the only way angle 2 would be equal to angle 5 would be if they were both 90 degrees, which the two angles are not always right angles.

Answer:

Answer is A

Function is increasing

f(x) was - 6 was below x-axis and then it reached 0 meaning it was rising or increasing.

Answer: $136.50

Step-by-step explanation: We have 26 boards, each 3.5 feet long. That means we have to multiply the 26 boards by 3.5 in order to find how many feet of boards there are. 26 • 3.5 = 91 so we have 91 feet of boards. if each foot is $1.50, we have to multiply 91 • 1.50  = 136.50 to find the total cost of the 91 feet of boards, which is $136.50.

Answer:

h(x) = 5x² - 35x + 60

Step-by-step explanation:

Given the zeros are 3 and 4 then the corresponding factors are

(x - 3) and (x - 4), then

h(x) = 5(x - 3)(x - 4) ← expand factors using FOIL

       = 5(x² - 7x + 12) ← distribute by 5

       = 5x² - 35x + 60 ← in standard form

Answer:

x = 4, y = 3

x = 3, y = 4

Step-by-step explanation:

Set equation 2 equal to x or y

y = 7 - x

Sub in place of y in equation 1

x

2 + (7 – x)

2 = 25

x

2 + (7 – x)(7 – x)= 25

Set equal to zero

Expand Brackets and simplify

x

2 + 49 - 14x + x2 = 25

2x2

- 14x + 49 = 25

2x2

- 14x + 24 = 0

Factorise and remove a factor first if

possible!

x

2

- 7x + 12 = 0

(x – 4)(x – 3)= 0

x = 4 and x = 3

Sub values of x into ‘y = 7 – x’

x = 4, y = 3

x = 3, y = 4

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The next day Patsy have t choose between cheerleading and play practice is 17th September

To solve the problem of calculating the next day Patsy will have the events of cheerleading and school play same day, we find the lowest common multiple of the intervals of the occurrence of the two events

The interval of the events are:

cheerleading - 4th day

school play - 6th day

The Lowest common multiple of 4 and 6 is calculated to be 12

If the two events occurred on 5th September the next will on

= 5 + 12

= 17

The next time to choose between the two will be on 17th September

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Answer:

To the lump sum needed to be invested to receive $10,000 in 10 years at 6.6% interest compounded daily, we can use the present value formula:

PV = FV / (1 + r/n)^(n*t)

where PV is the present value or the initial investment, FV is the future value or the amount we want to end up with, r is the annual interest rate in decimal form, n is the number of times the interest is compounded per year, and t is the time in years.

Plugging in the numbers, we get:

PV = 10000 / (1 + 0.066/365)^(365*10)

= 4874.49

Therefore, the lump sum needed to be invested is about $4,874.49.

We have shown that P(N < aJ) ≤ 1 - J for nonnegative values aj.N is a nonnegative integer-valued random variable

To prove the given inequality, let's start by defining the indicator random variable Ij, which takes the value 1 if aj ≤ N and 0 otherwise.

We have:

Ij = {1 if aj ≤ N; 0 if aj > N}

Now, we can express the expectation E(Ij) in terms of the probabilities P(aj ≤ N):

E(Ij) = 1 * P(aj ≤ N) + 0 * P(aj > N)

= P(aj ≤ N)

Since N is a nonnegative integer-valued random variable, its probability distribution can be written as:

P(N = n) = P(N ≤ n) - P(N ≤ n-1)

Using this notation, we can rewrite the expectation E(Ij) as:

E(Ij) = P(aj ≤ N) = P(N ≥ aj) = 1 - P(N < aj)

Now, let's consider the sum of the expectations over all values of j:

∑ E(Ij) = ∑ (1 - P(N < aj))

Expanding the sum, we have:

∑ E(Ij) = ∑ 1 - ∑ P(N < aj)

Since ∑ 1 = J (the total number of values of j) and ∑ P(N < aj) = P(N < aJ), we can write:

∑ E(Ij) = J - P(N < aJ)

Now, let's look at the expectation E(∑ Ij):

E(∑ Ij) = E(I1 + I2 + ... + IJ)

By linearity of expectation, we have:

E(∑ Ij) = E(I1) + E(I2) + ... + E(IJ)

Since the indicator random variables Ij are identically distributed, their expectations are equal, and we can write:

E(∑ Ij) = J * E(I1)

From the earlier derivation, we know that E(Ij) = P(aj ≤ N). Therefore:

E(∑ Ij) = J * P(a1 ≤ N) = J * P(N ≥ a1) = J * (1 - P(N < a1))

Combining the expressions for E(∑ Ij) and ∑ E(Ij), we have:

J - P(N < aJ) = J * (1 - P(N < a1))

Rearranging the terms, we get:

P(N < aJ) = 1 - J * (1 - P(N < a1))

Since 1 - P(N < a1) ≤ 1, we can conclude that:

P(N < aJ) ≤ 1 - J

Therefore, we have shown that P(N < aJ) ≤ 1 - J for nonnegative values aj.

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Answer:

hmm

Step-by-step explanation:

I can't see any triangle there..a right angled triangle is meant to look like this

Answer:

B : y=5/6cos(pi/30x)+9

Step-by-step explanation:

Edge 2020

Answer:

42 yards

Step-by-step explanation

There are 4 sides to a rectangle. 2 lengths, and 2 widths. That means that you multiply both values by 2 and then add them together, so 40 + 2. A more basic way to think of it is 20+20+1+1. Therefore, the perimeter is 41 yards.

Answer:

Yamato's Here!

Step-by-step explanation:

− 10  <  x  <  4

Hope this helps! (-o- )/

Answer:

z = 24

Step-by-step explanation:

35/30 = 7/6

28/7 = 4

6 x 4 = 24

28/24 = 7/6

Answer:

x = 24

Step-by-step explanation:

All you have to do is cross multiply like this..

30 x 28 = 35 x X

=

x = 30 x 28/35

30 x 28 = 840 / 35 =

24

So x is equal to 24

Hope this helps :)

Step-by-step explanation:

To calculate the potential energy of the ball at its highest point, we first need to find the gravitational potential energy of the ball. Gravitational potential energy is given by the equation:

PE = mgh

where m is the mass of the ball, g is the acceleration due to gravity (9.8 m/s^2 on the surface of the earth), and h is the height of the ball above the ground.

At its highest point, the height of the ball is 80 m, so the gravitational potential energy can be calculated as:

PE = m * g * h = m * 9.8 * 80

where m is the mass of the ball.

Since the ball was thrown at an angle of 30 degrees with the horizontal, its initial velocity can be broken down into horizontal and vertical components:

v0x = v0 * cos(30) = 10 * cos(30) = 10 * sqrt(3)/2 m/s

v0y = v0 * sin(30) = 10 * sin(30) = 10/2 m/s

The potential energy of the ball at its highest point can be found by adding the initial kinetic energy of the ball to its gravitational potential energy. The kinetic energy of the ball can be calculated as:

KE = 1/2 * m * v0y^2

where m is the mass of the ball and v0y is the vertical component of its initial velocity.

The total potential energy of the ball at its highest point is given by:

PE = KE + mgh = 1/2 * m * v0y^2 + m * g * h

Substituting in the given values, we find:

PE = 1/2 * m * (10/2)^2 + m * 9.8 * 80

Note: The mass of the ball (m) is not given, so the answer is given in terms of m.

Answer:

Step-by-step explanation:

PE = 1/2 * m * (10/2)^2 + m * 9.8 * 80

Answer:

2/3 hours or 40 mins.

Step-by-step explanation:

No. of trees planted by David = 11

No. of hours worked by David to plant 11 trees = 7 1/3 hours = (7*3 + 1) /3 = 22/3

It takes him about the same amount of time to plant each tree

let time taken to plan 1 tree be x

then  time taken to plan 1*11 tree = 11*x

But, given that total time taken is 22/3 hours

thus,

11x = 22/3 hours

x = 22/(3 *11) = 2/3

Thus, it took 2/3 hours to plant each tree.

As 1 hour has 60 minutes

Time taken in minutes to plant 1 tree = 2/3 *60 mins = 40 mins

It takes David 2/3 hours to plant each tree.

Since it takes David 7 1/3 hours today to plant 11 trees.

Therefore time taken to plant 11 trees = 7 1/3 hours = 22/3 hours

The time taken to plant each tree = 22/3 hours ÷ 11 trees = 2/3 hours per tree

Therefore it takes David 2/3 hours to plant each tree.

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Explanation:

Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y

y = measure of arc CDF

Adding the three arcs forms a full circle of 360 degrees

(arc CBH)+(arc FGH)+(arc CDF) = 360

170+64+y = 360

y+234 = 360

y = 360-234

y = 126

arc CDF = 126 degrees

Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.

inscribed angle = (arc measure)/2

x = (arc CDF)/2

x = 126/2

x = 63

Answer:

rewrite the fromula 126

Step-by-step explanation:

Answer:  31

Step-by-step explanation:

1. Replace z by 5, meaning that 8*5

2. Then, subtract 40 by 9 (8*5 = 40, 40-9 = 31)

The point R must also have a y-coordinate of 2. Since R is equidistant from P and Q,

Since △PQR is equilateral, we know that all three sides are congruent. Therefore, the distance between points P and Q is equal to the distance between points P and R or Q and R.

The distance between P and Q is 8 units (5-(-3) = 8), so the distance between P and R or Q and R must also be 8 units.

Since the triangle is equilateral, the point R must be located on a line that is equidistant from points P and Q. This line is the horizontal line passing through the midpoint of PQ.

The midpoint of PQ is ((-3+5)/2, (2+2)/2) = (1,2). Therefore, the point R must also have a y-coordinate of 2.

Since R is equidistant from P and Q, it must lie on the vertical line passing through the midpoint of PQ. This line is the line x = 1. Therefore, the coordinate of vertex R is (1,2).

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Answer:

8 bagels

Step-by-step explanation:

12 ÷ 3 = 4

2/3 means 2 of the 3 parts. each part is 4 bagels.

that means 8 bagels are multigrain

The solution to the system of simultaneous equations is; (-1, 4) and (3, 0)

We are given two equations as;

y = x² - x - 6  -----(1)

y = x - 3   ----(2)

We will use the algebraic method to solve it as;

The general format for a quadratic equation is;

y = ax² + bx + c

The quadratic formula to solve the quadratic equation is;

x = [-b ± √(b² - 4ac)]/(2a)

Put equation 2 into equation 1 to get;

x - 3 = x² - x - 6

x² - x - x - 6 + 3 = 0

x² - 2x - 3 = 0

Factorizing we have;

x² + x - 3x - 3 = 0

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

Thus;

x - 3 = 0 or x + 1 = 0

x = -1 or 3

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Answer:

8.5 and 10.5

Step-by-step explanation:

add your x1 and x2 coordinate and divide them by 2 to get your x.

and for the y add your y1 and y2 coordinate and divide them by 2 to get your y.

The x1, x2, y1, and y2 in this situation would be (5,14) (being the bridge)

and (12,7) being the castle.

x1 = 5

x2 = 12

y1 = 14

y2 = 7

Answer: x = 0, x = -3, x = 2

Step-by-step explanation:

f(x) = x^3 + x^2 - 6x

f(x) = 0

x^3 + x^2 - 6x = 0

x(x^2 + x - 6) = 0

x = 0 or

x^2 + x - 6 = 0

D = b^2 - 4ac = 1 - 4*(-6) = 25

x = (-b - sqrt(D))/(2a) = (-1 - 5)/2 = -3 or

x = (-b + sqrt(D))/(2a) = (-1 + 5)/2 = 2

If a hospital medical unit has 50 beds and the unit provided 1,420 days of service, the average daily census for the medical unit in May is 28.4.

To find the average daily census for a medical unit in May, we divide the total number of days of service provided by the number of beds in the unit. Here's how we do it:

According to the question, Total number of beds = 50 and Total number of days of service = 1,420

Average daily census = Total number of days of service / Total number of beds

Average daily census = 1,420/50

Average daily census = 28.4

Therefore, the average daily census for the medical unit in May is 28.4.

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