7. An aircraft flies 400 km from a point O on a bearing of 025°
and then 700 km on a bearing of 080° to arrive at B.
a) How far north of O is B?
b) How far east of O is B?

Answer:

x = 3, y = -9

Step-by-step explanation:

plug y=4x-21 into 7x+y=12 to get

7x + (4x-21) = 12 -> 11x -21 = 12 -> 11x = 33 -> x = 3

plug x=3 into y=4x-21 to get

y = 4(3) - 21 = 12 - 21 = -9

Jane is 2x+3 years old. (answer)

In this case, we can use Kay as the base/foundation in this problem. Kay is x years old. Mary is twice as old as Kay, making Mary 2 times x or 2x. We are solving for Jane. Jane is 3 years older than Mary, who we know is 2x. We can add on 3 years making the final expression for Jane's age: 2x+3. Since we do not know Kay's age, or x, we cannot solve this problem any further.

Answer:

6

Step-by-step explanation:

Possibly 6 but if not let me know

Answer:

6

Step-by-step explanation:

the h's cancel out

Using linear functions, it is found that 4 movies would cause the two plans to have an equal monthly cost.

A linear function is modeled by:

y = mx + b

In which:

For the functions in this problem, we have that:

Hence the cost functions are given as follows:

The costs will be the same when:

C1(x) = C2(x).

Hence:

22 + x = 14 + 3x

2x = 8

x = 4.

4 movies would cause the two plans to have an equal monthly cost.

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Answer:

$ 850.25

Step-by-step explanation:

I will assume anything over 40 hours is 'overtime'

total pay will be

   regular pay    +   overtime pay

 17.90 * 40 hr    +   (17.90 * 1.5)(5hr) = $ 850.25

Step-by-step explanation:

Results of the Assembly elections in five States are indeed a shot in the arm for the Bharatiya Janata Party (BJP), which won in all four States where it was in power. The Hindu editorial captures the broad trends that emerge out of these results. Prime Minister Narendra Modi has said these results have sealed the outcome of the 2024 Lok Sabha elections too in the BJP’s favour. He said people have rejected caste and dynastic politics.

b. The  number of successes in the Washington sample were 4740 .

The number of  failures in the Washington sample is 1,260

c. the 95% confidence interval for the true difference in population proportions between the people of Washington, DC, and the people of Atlanta who agree with the statement "Employers should be required to pay men and women the same salary for the same job" is 0.018 to 0.068.

(b) Number of successes and failures in the Washington sample:

Total number of respondents in the Washington sample: 6,000

Percentage who agreed with the statement: 79%

Number of successes = 79% of 6,000

= 0.79 * 6,000

= 4,740

Number of failures = Total - Number of successes

= 6,000 - 4,740

= 1,260

(c)

confidence interval = (p1 - p2) ± Z * √((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

p1 = Proportion of successes in the Washington sample

p2 = Proportion of successes in the Atlanta sample

n1 = Size of the Washington sample

n2 = Size of the Atlanta sample

Z = Z-score for the desired confidence level = 1.96

confidence interval = (0.79 - 0.74) ± 1.96 * √((0.79 * (1 - 0.79) / 6000) + (0.74 * (1 - 0.74) / 4800))

confidence interval = 0.05 ± 1.96 * √((0.79 * 0.21 / 6000) + (0.74 * 0.26 / 4800))

confidence interval = 0.05 ± 1.96 * √(0.00013815 + 0.0001244583)

confidence interval = 0.05 ± 1.96 * √(0.0002626083)

Lower bound of the confidence interval (DC - Atlanta)

= 0.05 - 0.0317226549

=  0.018

Upper bound of the confidence interval (DC - Atlanta)

= 0.05 + 0.0317226549

= 0.068

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Answer:

7/10 = 0.7 = 70%

25/100 = 0.25 = 25%

56/100 = 0.56 = 56%

Step-by-step explanation:

Answer:

The answer is 7 for C.

Step-by-step explanation:

7+7=14 and 7x7=49

The diamond just asks for numbers that make up a pattern for the two given numbers.

Answer:

$7.4

each bag of milk cost $7.4

Answer: $7.4

Step-by-step explanation: i did this and i remember it!

When given 3 meters of cloth and it is to be divided in a ratio of 3:7 then one part will have 0.9 meters  and the other will have 2.1 meters.

The first thing to do is to find the denominator of the ratio by summing the two numbers in the ratio:

= 3 + 7

= 10

The first part of the cloth would be:
= 3 / 10 x 3 meters

= 0.3 x 3 meters

= 0.9 meters

The second part of the cloth would be:

= 7 / 10 x 3 meters

= 0.7 x 3

= 2.1 meters

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Answer:

Undefined

Step-by-step explanation:

Plugging in 3 for x and 4 for y we get:

6(3) + 4(4) = 36

multiplying we get

18 + 16 = 36
34 = 36

which is not true.

if this was helpful pls give me brainliest <3

Answer:

x = 23

Step-by-step explanation:

The two angles are supplementary angles.

Supplementary angles sum 180°

(6x+4) + 38 = 180

6x + 42 = 180

6x = 180 - 42

6x = 138

x = 138/6

x = 23

Check:

6*23  + 4 + 38 = 180

138 + 42 = 180

Answer:

Step-by-step explanation:

We know that the sum of angles of a linear pair is always equal to 180°. These angles are also known as supplementary angles.

[tex]\bf 6x+4+38^o=180^o[/tex] (Add numbers)

[tex]\bf 6x+42=180[/tex] (Simplify)

[tex]\bf 6x+42-42=180-42[/tex](Subtract both sides by 42)

[tex]\bf 6x=138[/tex] (Simplify)

[tex]\bf \cfrac{6x}{6}=\cfrac{138}{6}[/tex] (Divide both sides by 6)

[tex]\bf x=23[/tex]

Therefore, x = 23.

_____________________

Hope this helps!

Have a great day!

The factor that is not a possible confounding factor is B. the expected sales for the year 2014.

A confounding factor is a third variable that influences or explains both the independent and dependent variables.

The independent variable here is the year while sales are the dependent variable.

However, confounding factors could include the number of new buildings constructed in 2013, which was not factored in by the architectural company and the state of the economy in 2013.

Thus, the expected sales for the year 2014 cannot be a confounding variable for the decreased sales in 2013 because it cannot explain the 2013 performance.

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A. the number of new buildings constructed

B. the expected sales for the year 2014

C the state of the economy

Answer:

3×8 =24

24÷2=12

Area of triangle=12m²

Step-by-step explanation:

3×8 =24

24÷2=12

Answer:

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Answer: x=-3-[tex]\sqrt{7}[/tex] or x=-3+[tex]\sqrt{7}[/tex]

Step-by-step explanation:

f(x)=x+1. g(x)=x+5

(f * g)(x)=

f(x)*g(x)=

(x+1)(x+5)=

x^2+5x+x+5=x^2+6x+5

x^2+6x+5=3

x^2+6x+9=7 ==> Add 4 on both sides of the equation

(x+3)^2=7

x+3=[tex]\sqrt{7}[/tex]

x=-3+[tex]\sqrt{7}[/tex]

x+3=-[tex]\sqrt{7}[/tex]

x=-3-[tex]\sqrt{7}[/tex]

The solutions to the equation 10x⁴ + 30x³ + 35x² as required in the task content are; 0, (-3 + i√5)/2, and (-3 - i√5)/2.

It follows from the task content that the given equation is; 10x⁴ + 30x³ + 35x² = 0.

Hence, to find all the solutions of the equation, one must factorise the expression on the left hand side so as to obtain the factors as follows;

10x² (x² + 3x +3.5) = 0

Hence, we have;

10x² = 0; x = 0 OR

x² + 3x +3.5 = 0.

Hence, it follows from the quadratic formula that the roots/zeroes of x in the equation above can be evaluated as follows;

x = {-b±√(b²-4ac)}/2a

hence, by comparison, we have;

x = {-3±√(9-14)}/2

x = (-3 ± √-5)/2

x = (-3 ± i√5)/2

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Answer:

I could be wrong, but I think you got right in the beginning 107°, but go with your gut feeling. Wish you the very best <3

Answer: x=73 degrees, z=73 degrees, y=107 degrees

Step-by-step explanation:

y=107 degrees because y and 107 degrees are congruent angles

z=x because z and x are congruent angles

x+y=180 ==> x and y are supplementary angles that are placed on a straight line(the straight line is 180 degrees and is called a straight angle.)

x+107=180

x=73 degrees

z=x

z=73 degrees

Answer:

1/81

Step-by-step explanation:

[tex](3^2)^{-2}=3^{-4}=\frac{1}{3^4}=\frac{1}{81}[/tex]

Answer:

x> - 4

Step-by-step explanation:

In order to solve these simultaneous inequalities, we need to write them as two separate inequalities, and find the values of x that satisfy both of them.

Answer:

[tex](x-1)(x+4)[/tex]

Step-by-step explanation:

Given:

[tex]x^2+3x-4[/tex]

The best way to write a polynomial with three terms as a product of binomials is to FACTOR!

The middle number is 3 and the last number is -4.

Factoring means we want something like

[tex](x+?)(x+?)[/tex]

We need two numbers that...

ADD together to get 3 and

MULTIPLY together to get -4

Test the numbers -1 and 4:

[tex]-1+4=3\\(-1)4=-4[/tex]

These are the right numbers! Now, I can write them as factored binomials!

[tex](x-1)(x+4)[/tex]

The fraction that is greater is 36/104 since 34.62% is greater than 32.11%

Fractions are written as the ratio of two integers. For instance a/b is a fraction.

In order to determine which of the fractions is greater, we will express them as percentage as shown:

35/109 * 100

3500/109

32.11%

Similarly;

36/104 * 100

3600/104

34.62%

Hence the fraction that is greater is 36/104 since 34.62% is greater than 32.11%

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Answer:

172 kilowatts.

Step-by-step explanation:

Energy : 237.188 billion = 237,188,000,000 = 2.37188 × 10¹¹

People : 1.379 billion = 1,379,000,000 = 1.379 × 10⁹

Divide both values : 2.37188 ÷ 1.379 = 1.72; 10¹¹ ÷ 10⁹ = 10² ⇒ 1.72 × 10² or 172 kilowatts.

The value of x is -160.

An equation in which the power of any variable is not more than one is called a linear equation.

Here, we are given a linear equation as follows-

5 × x + 860 = 2 × x + 380

⇒ 5x + 860 = 2x + 380

Let us solve the given equation-

Subtracting 2x from both sides, we get

5x - 2x + 860 = 2x - 2x + 380

3x + 860 = 380

Subtracting 860 from both sides-

3x + 860 - 860 = 380 - 860

3x = -480

dividing both sides by 3,

3x/3 = -480/3

x = -160

Thus, the value of x comes out to be -160.

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Answer:

4/9

Step-by-step explanation:

Answer:

Volume V ≈ 1481.3269 cubic inches

Step-by-step explanation:

Volume V of a cylinder is given by the formula

V = πr²h  where r = radius of the base of the cylinder and h the height

Here we are given the diameter, d = 5.9375 inches

Radius r = d/2 = 5.9375/2 = 2.96875 in

Height h = 53.5 in

V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches

Answer V ≈ 1481.3269 cubic inches

The dimensions of floor is 500 cm by 212.5 cm

Multiply the width and length of each rectangle to find its area. The areas of each rectangle are then added up to determine the total area. In the event that your room is L-shaped, for instance, this can be split into two rectangles. Additionally, this method still works in a complicated room.

500 cm by 212.5 cm

Given :

The main arena hall has dimensions 200 m by 85 m.

On a large diagram on the office wall the scale is 1:40.

Length of arena hall = 200 m

Scale is 1:40

So, the length of the floor =

Since 1 m = 100 cm

So, 5 m = 100*5 = 500 cm

Width of arena hall  = 85 m

So, width of floor =[tex]\frac{85 * 1}{40}[/tex]  =  2.125m

Now 1 m = 100 cm

So, 2.125 m = 212.5 cm

Thus the dimensions of floor is 500 cm by 212.5 cm

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Answer:

[tex]1cm = 20 \times 100 \\ = 2000cm \\ 1cm = 2000cm[/tex]