Two ships leave a port at the same time.
Ship A sails 12 knots on a bearing of 035°
Ship B sails 16 knots on a bearing of 270°
Calculate the distance between the ships after 2 hours

(1 knot = 1 nautical mile per hour)

Answer:

I am doinnnnnmngggg gggg

Answer: 4.50

Step-by-step explanation:

6.50 minus 2.00 is 4.50

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

Option D is the correct answer.

We have,

We need to isolate the absolute value |x + 2| on one side of the inequality.

We subtract 7 from both sides.

|x + 2| > 3

Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:

x + 2 > 3

or

- (x + 2) > 3

Solving for x in the first inequality.

x > 1

Solving for x in the second inequality.

-x - 2 > 3

Adding 2 to both sides and multiplying by -1.

x < -5

So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.

Using interval notation.

(-∞, -5) U (1, ∞)

Thus,

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

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Answer:

The answer should be like this;

a) A-B

b) BUC

c) C-A

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ツ

Answer:

Mean is 84

Step-by-step explanation:

Invest in stocks and bonds directly by purchasing them through a brokerage account. Indirect investments  can be made through mutual funds.

Assets acquired or invested  to build wealth and save money based on hard-earned income or appreciation. Investing primarily means getting extra income or income from an investment over a certain period of time.  Stocks, bonds and cash are the three main types of investments.

Stocks - represent ownership in a company and their value varies depending on market demand and company performance. Stocks may offer potential growth over the long term, but they also carry more risk than other  investments.  

Bonds - are essentially loans that investors make to governments or companies, usually offering a fixed interest payment and repayment of principal at maturity. Bonds generally offer lower yields than stocks, but are considered  less risky.

Cash - refers to investments that are highly liquid and can be easily converted to cash, such as savings accounts, money market accounts, and certificates of deposit (CDs). Cash investments usually have lower returns than stocks and bonds, but  are considered  the least risky types of investments.

You can invest in stocks and bonds directly by buying them through a brokerage account. This can be done online or through a financial advisor. Financial investments can be made directly through a bank or credit union. Such investments  can be invested indirectly through investment funds. A mutual fund is  money from many investors  managed by a professional investment manager. A mutual fund invests in a diversified portfolio that includes stocks, bonds or cash, depending on the fund's investment objective. Investors can buy shares of  mutual funds, and the value of the shares will rise or fall based on the performance of the underlying investments.

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Answer:

first blank is 90/100

second blank is 145/100

Step-by-step explanation:

Answer:

about 414.69

Step-by-step explanation:

Use the equation πr^2(h /3)

r = radius

h = height

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

Answer:

Initial temp is 20 degrees C

Function shows decay

Temp changes by 97% every minute

Step-by-step explanation:

The temperature as a function of time is:

C(t)=20(0.97)\(t^{2}\)

when t = 0, C(0) = 20(0.97)0, or -20(1) = 20C

The temperature changes by 0.97, or 97% every minute.

The measure of LA is . B'C'= 1, mLA' = 37"

A dilation is a mathematical operation that involves multiplying the distance between each point in an object and a fixed point, referred to as the center of dilation, by a constant factor known as the scale factor.

In the given scenario, the scale factor is specified as follows:

k = 1/3.

Consequently, the length of B'C' is obtained by multiplying the length of BC by 1/3, which can be understood as dividing the length by 3 after the dilation.

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Answer:

x = 125, Angles are 120°, 100°, 120°, 135°, 120°, 125°

Step-by-step explanation:

\(120+100+120+x+10+120+x=720 \\ \\ 470+2x=720 \\ \\ 2x=250 \\ \\ x=125 \\ \\ \implies x+10=135\)

Answer:

Step-by-step explanation:

y=1.6666666666666667x+1.333333333333333

Slope

1.67

Intercept

1.33

The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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On solving the provided question we can say that by herons formula, area of the triangle is, A = 2.828

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

the provided points are Triangle X(1, 6), Y(5, -2), Z(-5, -1)

by herons formula

A = \(\sqrt{s(s-a)(s-b)(s-c)}\)

s = a+b+c/3

s = 5+2+5+/3 =12/3 = 4

Area of the triangle is, A =

\(\sqrt{4(5-4)(4-2)(5-4)} \\A = \sqrt{4*1*2*1} \\A = \sqrt{8} \\A = 2\sqrt{2}\\ A = 2*1.414\\A = 2.828\)

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Answer:

2.828

Step-by-step explanation:

The probability the dish was broken by Casper if he bussed tables is;

P(Casper bussing tables and breaking dish) = 0.6%

We are given the three probabilities each for Alonzo, Bob and Casper for bussing tables and also in case any dish should break.

P(Alonzo bussing tables) = 70% = 0.7

P(Bob bussing tables) = 10% = 0.1

P(Casper bussing tables) = 20% = 0.2

P(Alonzo breaking a dish) = 6% = 0.06

P(Bob breaking a dish)  = 2% = 0.02

P(Casper breaking a dish)  = 3% = 0.03

This is all about independent events as the probability of breaking the dishes does not increase or decrease with the bussing of the tables.

Thus; P(A and B) = P(A) + P(B)

Thus, if a dish is broken, the probability that it was broken by Casper is;

P(Casper bussing tables and breaking dish) = P(Casper bussing tables) × P(Casper breaking a dish)

P(Casper bussing tables and breaking dish) = 0.2 × 0.03

P(Casper bussing tables and breaking dish) = 0.006 or 0.6%

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Step-by-step explanation:

both events need to happen , so it is a combined event, and the probability is the product of both individual probabilities.

so, the probability for a random customer to buy both is

0.28×0.24 = 0.0672.

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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The probability that all 4 computers with the critical file fail in this incident

P(x=4)=0.00085

This is further explained below.

Generally,  is  mathematically given as

\($H \rightarrow(n, m)$\)

p.d.F. of Hyper Geometric distribution

given, $N=39, n=4, M=8, x=4$

\(\begin{aligned}P(x=4) &=\frac{8}{4} \frac{39}{39} \\&=\frac{70 \times 1}{82251}\end{aligned}$$\)

\(\begin{aligned}&P(x=4)=8.5106 \times 10^{-4} \\&P(x=4)=0.00085\end{aligned}\)

In conclusion, P(x=4)=0.00085

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Answer:

Mr. Cowin spent 5/12 of an hour playing the review game.

Step-by-step explanation:

Mr. Cowin gave his students 3/4 of an hour to study for the test. After 1/3 of an hour, he played a review game for the remaining time.To find out how much time Mr. Cowin spent playing the review game, we need to subtract the time allocated for studying from the total time.Total time = 3/4 hourTime spent studying = 1/3 hourTime spent playing the review game = Total time - Time spent studyingTime spent playing the review game = 3/4 hour - 1/3 hourTo subtract fractions, we need to have a common denominator. In this case, the common denominator is 12.Time spent playing the review game = (9/12) - (4/12) = 5/12 hourTherefore, Mr. Cowin spent 5/12 of an hour playing the review game.

Step-by-step explanation:

I am sorry but I cannot see your question

Answer:

16

Step-by-step explanation:

50 - 16 = 34

34 / 2 = 17

34 + 17 = 51, which is too much; so we take 1 souvenir out which would be 16.

Quick check:

34 + 16 = 50

Hope this helps!

The volume of the right cone below is 1152π/3 cubic units then the value of x is 24.

The volume of a right circular cone is given by the formula:

V = (1/3)πr²h

where π is pi (approximately equal to 3.14), r is the radius of the circular base, and h is the height of the cone.

In this problem, we are given that the volume of the cone is 1152π/3 cubic units and that the value of x is related to the radius and height of the cone.

Let's first write the formula for the volume of the cone in terms of x:

V = (1/3)π(x/3)²(x/3)

Simplifying this expression, we get:

V = (1/27)πx²

We are given that V = 1152π/3, so we can substitute this into the formula above and solve for x:

1152π/3 = (1/27)πx³

Multiplying both sides by 27/π, we get:

x³ = 1152*27/3

x³ = 27648

Taking the cube root of both sides, we get:

x = 24

Therefore, the value of x is 24.

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The true inequality from the list of options is (c) -x - 6 > -3.5

To determine which inequality is true when x is -5, we need to substitute -5 for x in each inequality and simplify.

a) -x – 6 < -3.5

Substituting x = -5, we get:

-(-5) - 6 < -3.5

5 - 6 < -3.5

-1 < -3.5

This is false, so option a) is not true.

b) -x – 6 > 3.5

Substituting x = -5, we get:

-(-5) - 6 > 3.5

5 - 6 > 3.5

-1 > 3.5

This is false, so option b) is not true.

c) -x - 6 > -3.5

Substituting x = -5, we get:

-(-5) - 6 > -3.5

5 - 6 > -3.5

-1 > -3.5

This is true, so option c) is true.

Hence, the correct option is (c) -x - 6 > -3.5

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Complete question

Which inequality is true when the value of x is -5?

a) -x – 6 < -3.5

b) -x – 6 > 3.5

c) -x - 6 > -3.5

d) x - 6 > -3.5

Answer: It’s 36

Step-by-step explanation:

Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.

Answer:

225 dollars

Step-by-step explanation:

So if Brett earns 15 dollars each hour he works and he worked for 15 hours we can multiply the two numbers together to get the toyal amount of money he has earned.

15×15=225

Brett has earned 225 dollars this month