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The diagram shows the position
of three towns represented by
letters A, B and C.
B is 7 km from A on a bearing of 037°
C is 8 km from B on a bearing of 140°
Find the bearing of C from A.
Give your answer correct to 1 decimal place.

(Hard) A composite number n is called a Carmichael number bn−1 ≡ 1 (mod n) for every number b such ... Base case: When n = 2 the formula a + c ≡ b + d (mod m) was already given. ... The sequence goes 1, 3, 7, 15, 31,... guess that it is equal to 2n+1 − 1. ... Prove (now using induction on n) that fm|fmn for all n ≥ 1.

Answer:

That would be n\(\geq 1\\\)

Step-by-step explanation:

Answer:rotational

Step-by-step explanation:

it would not be a line because a line is a line and other make no sense

Answer: nope!

Step-by-step explanation: there are 4 quarts in a gallon and we can see by adding the mango juice, there will be no space!

Water (2 quarts) mango juice (2 quarts) equals a gallon

Ginger ale = one gallon

That’s already 2 gallons and we still have the 2 pints of pineapple juice!

Answer:

MY GOD...

C,B,A!

Step-by-step explanation:

Let's assume the number of boys in Stephen's class is B. According to the given information, the number of girls in the class exceeds the number of boys by 8. Therefore, the number of girls would be B + 8.

The total number of pupils in the class is given as 36. We can write this as an equation:

B + (B + 8) = 36

Simplifying the equation, we have:

2B + 8 = 36

2B = 36 - 8

2B = 28

B = 28/2

B = 14

So, there are 14 boys in Stephen's class. Since the number of girls exceeds the number of boys by 8, the number of girls would be 14 + 8, which is equal to 22.

Therefore, there are 14 boys and 22 girls in Stephen's class.

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Answer:

Step-by-step explanation:

The height of the tree and its shadow, and the height of the person and its shadow, at the same time of the day, form two similar right triangles:

Since both triangles are similar, then the corresponding sides are at the same ratio so that:

From this expression, you can determine the height of the tree, just multiply both sides of the equal sign by 5:

The height of the tree is 15 feet.

Answer:

\(\boxed{v_c=60ft^3}\)

Step-by-step explanation:

The following formula gives the volume of a rectangular prism:

\(V_c= w \times l \times h\)

In this case, we know:

\(w \times l = 20 ft^2\)

and:

\(h= 3ft\)

So:

\(V_c= 20 f^2 \times 3ft\\v_c=60ft^3\)

\(\text{-B$\mathfrak{randon}$VN}\)

Answer:

b

Step-by-step explanation:

i did the test and I got the answer right here after being corrected so yah.

Answer:

All real numbers

Step-by-step explanation:

Based on the quadrilateral, the measure of angles a, b, c, and d are as follows;

In Mathematics, the measure of the sum of two (2) adjacent angles would be equal to 180º when two (2) parallel lines are cut through by a transversal according to the Linear Pair Postulate:

a + 79° = 180°

a = 180° - 79°

a = 101°

In Geometry, the vertical angles theorem states that two opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other. Therefore, we have the following:

c = 83° (vertically opposite angle).

By applying the co-interior angles theorem, we have the following:

a + b = 180°

101 + b= 180°

b = 180° - 101°

b = 79°

d + c = 180° (co-interior angles)

d + 83° = 180°

d = 180° - 83°

d = 97°

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Answer:

Brand A: 0.92 Brand B: 0.11

Step-by-step explanation:

1.12 divided by 12 (round down)

2.96 divided by 25 (round up)

brand B is better to buy because you get more and it costs less per spoon

"0" was the gift tax in 2018.

Gift taxes are paid by either the giver or the recipient?

A gift tax is not present. There is no gift tax because gifts up to $15,000 are tax-free.

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Two events that are disjoint are not independent. This is because that disjoint events do not overlap, which means that if one event occurs, the other cannot. So, the occurrence of one event provides information about the absence of the other, which violates the definition of independence.

Two events A and B are considered independent if the occurrence of A has no effect on the likelihood of B occurring, and vice versa.

In other words, the probability of both events happening at the same time is equal to the product of their individual probabilities:

\(P(A and B) = P(A) * P(B) (B).\)

This formula cannot be satisfied when two events are disjoint because if one event occurs, the other cannot occur. As a result, two disjoint events are not independent.

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Answer:

x = - 621

Step-by-step explanation:

quotient is the result of dividing , so

\(\frac{x}{-23}\) = 27 ( multiply both sides by - 23 to clear the fraction )

x = - 23 × 27 = - 621

Step-by-step explanation:

that means

x ÷ -23 =27

x = 27×-23

x = -621

Answer:

x= -2
y=4

Step-by-step explanation:

Since we have an equation set equal to y, we can plug it in for either value of y.

I will be using y= x+6 in this case.

Plug in x+6 for the other equation, so instead of y=-x+2 it will now be that x+6 = -x+2

Now add x to both sides, and that will remove the x on the left side leaving us with 2x+6 = 2

Now, subtract 6 from both sides to get 2x isolated, and you will get 2x= -4

Divide both sides by 2 to get x= -2

Not plug x= -2 in back for the top (or bottom) equation and get that y=4

Hope this helps and isn't too complicated!

Answer: t=8

Step-by-step explanation:

The highest ticket price that they can charge in order to not lose money on the event will be $8.16.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Sally's secondary school is arranging their spring melodic. The income, R, is created still up in the air by the capability R(t) = -33t² + 360t, where t addresses the cost of a ticket. The creation cost, C, of the melodic is addressed by the capability C(t) = 700 + 5t.

The highest ticket price that they can charge in order to not lose money on the event will be given as,

C(t) = R(t)

700 + 5t = -33t² + 360t

33t² - 355t + 700 = 0

Solve for 't', then we have

t = [-(-355) ± √((-355)² - 4 × 33 × 700)] / (2 × 33)

t = [355 ± 183.37] / 66

t = 5.378 ± 2.778

t = 5.378 + 2.778, 5.378 - 2.778

t = 8.16, 2.60

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The correct option is C. "boost" most nearly means  promote.

He was propelled over the barrier by someone pushing or shoving up from below. 2: Increase, raise plans to expand productivity, such as adding a second holiday to boost spirits. 3: to advance a cause or an interest: publicize a campaign to support the newest trends. It would jump-start the economy and give us the boost we need. 4: to increase the voltage of or across (an electric circuit).

The New York Times approved the idea in a major article on Sunday, giving it a boost. For us to feel confident, we need a significant victory. Do your best to inspire her with confidence and raise her spirits.

Disclaimer

All the sentences in the rest of the paragraph should relate to the topic ... To boost their chances of winning the next election.

As used in line 85, "boost" most nearly means

A) increase.

B) accelerate.

C) promote.

D) protect

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The value of (ΣX)² for the scores 1, 5, 2 is:  

64

It is the representation of the sum of infinite or many values. And it is represented by the following symbol:

∑xi

The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.

Steps to follow:

Step 1: Find the summation of the scores.
            ΣX = 1 + 5 + 2 = 8

Step 2: Square the summation.
            (ΣX)² = 82 = 64

Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.

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The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.

The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.

Using the table provided, we can calculate the missing values:

Variable Cost:

For 0 pizzas, the variable cost is $0.

For 1 pizza, the variable cost is $10.

For 2 pizzas, the variable cost is $12.

For 3 pizzas, the variable cost is $2.

For 4 pizzas, the variable cost is $1.

For 5 pizzas, the variable cost is $2.

For 6 pizzas, the variable cost is $3.

For 7 pizzas, the variable cost is $13.

For 8 pizzas, the variable cost is $16.

For 9 pizzas, the variable cost is $3.

For 10 pizzas, the variable cost is $6.

For 11 pizzas, the variable cost is $4.

Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.

Average Variable Cost:

To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.

Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.

Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.

This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.

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Total Surface Area = (Perimeter of the base × Length) + (2 × Base Area); or TSA = (S1 + S2 + S2)L + bh

Now, According to the question:

The surface area of a triangular prism is also known as the total surface area. Therefore, it is calculated using the formula, Total Surface Area = (Perimeter of the base × Length) + (2 × Base Area); or TSA = (S1 + S2 + S2)L + bh; where:

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The proof of the congruent sides RU and TS is given below.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given figure is a rectangle RSTU.

Since the all four angles of rectangle are of 90 degree.

So, each angle of rectangle RSTU is 90 degree.

Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.

Both the triangles having same measure of angles and sides.

⇒  ΔSRU ≅ ΔSTU

As the triangles are congruent so their sides are congruent.

Hence, RU is congruent to TS.

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Step-by-step explanation:

The selection of r objects out of n is done in

many ways.

The total number of selections 10 that we can make from 6+7=13 students is  

thus, the sample space of the experiment is 286

A.  

"The probability that a randomly chosen team includes all 6 girls in the class."

total number of group of 10 which include all girls is C(7, 4), because the girls are fixed, and the remaining 4 is to be completed from the 7 boys, which can be done in C(7, 4) many ways.

P(all 6 girls chosen)=35/286=0.12

B.

"The probability that a randomly chosen team has 3 girls and 7 boys."

with the same logic as in A, the number of groups were all 7 boys are in, is  

so the probability is 20/286=0.07

C.

"The probability that a randomly chosen team has either 4 or 6 boys."

case 1: the team has 4 boys and 6 girls

this was already calculated in part A, it is 0.12.

case 2, the team has 6 boys and 4 girls.

there C(7, 6)*C(6, 4) ,many ways of doing this, because any selection of the boys which can be done in C(7, 6) ways, can be combined with any selection of the girls.  

the probability is 105/286=0.367

since  case 1 and case 2 are disjoint, that is either one or the other happen, then we add the probabilities:

0.12+0.367=0.487 (approximately = 0.49)

D.

"The probability that a randomly chosen team has 5 girls and 5 boys."

selecting 5 boys and 5 girls can be done in  

many ways,

so the probability is 126/286=0.44

Did this help??

Answer:

It was right!

Step-by-step explanation:

Answer:

y = 1/2x + 8

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 10 / 2 - 4

-1 / -2

= 1/2

y = 1/2x + b

10 = 1/2(4) + b

10 = 2 + b

8 = b

Answer:

Another name is This useful form of the line equation is sensibly named the "slope-intercept form".

( hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The perimeter of scale drawing of rectangular classroom floor is 42 inches.

Based on the mentioned information, let us first calculate the width of floor of classroom according to the scale drawing.

Length/width of original classroom floor = length/width of scale drawing

30/33 = 10/width

As we know, 1 foot = 12 inches

So, length = 360 inches and width = 396 inches

Width = (396 × 10)/360

Cancelling zero as it is common in both numerator and denominator

Width = 396/36

Performing division on Right Hand Side of the equation

Width = 11 inches

Perimeter of scale drawing = 2 (length + width)

Perimeter = 2( 10 + 11)

Performing addition

Perimeter = 2 × 21

Performing multiplication

Perimeter = 42 inches

Thus, perimeter of the rectangle is 42 inches.

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Answer:

$1,605.6

Step-by-step explanation:

Multiply-

14x1.55=$21.7

7x1.05=$7.35

4x1.10=$4.4

Add 21.7+7.35+4.4=33.45

Now multiply 33.45 by 1200 since there are 1200 students

33.45x1200=1,605.6

$1605.6 should the school expect to spend on all the activities

Two or more expressions with an Equal sign is called as Equation.

The school surveys a random sample of 25 students

The cost of movie is 1.5 and the number of students is

So total cost of movie is 14x1.55=$21.7

The cost of Planetarium is 1.05 and the number of students is 7

7x1.05=$7.35

4x1.10=$4.4

Add 21.7+7.35+4.4=33.45

The total cost is 33.45

As there are 1200 students

Now multiply 33.45 by 1200

33.45x1200=1,605.6

Hence, $1605.6 should the school expect to spend on all the activities

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Answer:

See below

Step-by-step explanation:

x = 3 cos (-5pi/3)   =  1.5

y = 3 sin (-5pi/3) = 2.598