a car travels 10 km southeast and 15 km in a direction 60 degrees north of east. find the magnitude and direction

Answers

Answer 1

Answer:

the car travels 10km then 15km 60* north of east

Step-by-step explanation:


Related Questions

A club of 10 people wants to choose an executive board consisting of president, secretary, treasurer, and three other officers. In how many ways can this be done

Answers

Answer:

The number of ways = 151200

Step-by-step explanation:

Below is the calculation of the number of ways:

Total number of people = 10

Total number of posts = 6

The number of ways = 10P6

The number of ways = [tex]\frac{10!}{10! - 6!}[/tex]

The number of ways = 10 x 9 x 8 x 7 x 6 x 5

The number of ways = 151200

Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 1.8. In 1983, about 1800 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2004?

Answers

Answer:

The people dies in 2004 by aids are 413042853.4

Step-by-step explanation:

growth factor = 1.8

People died in 1983 = 1800

Let the people dies in 2004 is P.

Time, t = 2004 - 1983 = 21

So,

[tex]P = 1800 \times (1.8)^{21}\\\\P = 413042853.4[/tex]

Solve the inequality. |X-15|>9

Answers

Answer:

X<6 or X>24

Step-by-step explanation:

Claim: Fewer than 94​% of adults have a cell phone. In a reputable poll of 1004 ​adults, 86​% said that they have a cell phone. Find the value of the test statistic.

Answers

Answer: The value of test statistic = -10.67

Step-by-step explanation:

Test statistic for proportion:

[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

, where p= population proportion

n= sample size

[tex]\hat{p}[/tex] = sample proportion

AS per given,

p=0.94, n= 1004, [tex]\hat{p}=0.86[/tex]

[tex]z=\dfrac{0.86-0.94}{\sqrt{\dfrac{0.94(1-0.94)}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{\dfrac{0.0564}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{0.0000561752988048}}\\\\=\dfrac{-0.08}{0.00749501826581}\\\\=-10.673756509\approx-10.67[/tex]

i.e. the value of test statistic = -10.67

On planet Ghaap, two Gheeps are worth three Ghiips, two Ghiips are worth five Ghoops, and three Ghoops are worth two Ghuups. How many Ghuups are seven Gheeps worth?

Answers

Answer:

10 Ghuups I believe. I am sorry if this is wrong

A football is punted so that its path is described by the function h(t) = -4.9(t - 3.5)2 + 15 where h(t) is the height of the football, in meters at time t, in seconds.

What time in seconds does it take for the football to reach its maximum height? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

You already have this set up to answer your question. This quadratic is in work form, aka vertex form, where the vertex is (3.5, 15). The first coordinate of the vertex is the time it takes to reach its max height, which is the second coordinate of the vertex. So it takes 3.5 seconds to reach a max height of 15 meters.


Can someone help please ??

Answers

Answer:

x=40

Step-by-step explanation:

In the picture, it seems that angles BHC, CHD, and DHE form a line, 180 degrees. So to solve, set up an equation:

[tex](2x+5)+55+40=180[/tex]

Take off the parentheses and solve.

Subtract 5, 55 and 40 from both sides, or add them together, then subtract.

5+55+40=100

You get:

[tex]2x=80[/tex]

Divide both sides by 2

You get:

[tex][x=40][/tex]

I hope this helps!

) A patient drank 12 ounces of orange juice. How many milliliters did the patient drink?

Answers

Answer:

[tex]Drink = 354.882\ mL[/tex]

Step-by-step explanation:

Given

[tex]Drink = 12oz[/tex]

Required

Equivalent in mL

We have:

[tex]1\ oz = 29.5735\ mL[/tex]

So:

[tex]Drink = 12 * 29.5735mL[/tex]

[tex]Drink = 354.882\ mL[/tex]

Consider the function h(x) =StartFraction 1 Over x EndFraction . Which graph shows h(2x) + 4? On a coordinate plane, a curve opens up and to the right in quadrants 1 and 4. It goes through (0.5, 1), (1, negative 2), and (2, negative 3). Another curve opens down and to the left in quadrant 3. It goes through (negative 4, negative 4.5) and (negative 2, negative 5). On a coordinate plane, a curve opens up and to the right in quadrants 1 and 4. It approaches the y-axis in quadrant 1, and then curves down through (0.5, negative 3) and then approaches y = negative 4. Another curves opens down and to the left in quadrant 3. It approaches y = negative 4 and then curves down through (negative 1, negative 4.5). On a coordinate plane, a curve opens up and to the right in quadrant 1. It goes through (2, 5) and (3, 4.5). Another curve opens down and to the left in quadrants 2 and 3. It goes through (negative 1, 2) and curves down through (negative 0.5, negative 1). On a coordinate plane, a curve opens up and to the right in quadrant 1. It goes through (1, 4.5) and (4, 4). Another curve opens down and to the left in quadrants 2 and 3. It approaches y = 4 and then curves down and approaches the y-axis in quadrant 3. Mark this and return

Answers

Answer:

Graph D

Step-by-step explanation:

correct answer on edge :)

Answer:

D

Step-by-step explanation:

SCALCET8 3.8.001.MI. A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population consists of two members. Find the population size after seven days. (Round your answer to the nearest whole number.) P(7)

Answers

Answer:

A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population · Q: For this discussion, you will work in groups to find the area and answer questions.

Step-by-step explanation:

Which graph has a domain of all real numbers?

Answers

Nit sure but it is the second one

You are dealt one card from a​ 52-card deck. Find the probability that you are dealt a king or a red card.

Answers

Answer:

7/13

Step-by-step explanation:

Half the deck is red so there are 26 reds.

There are 4 kings but we already counted two of these in the 26.

So there are 26+2 red or king cards total.

The probability of selecting a king or red is 28/52.

This can be reduced by dividing top and bottom by 4: 7/13.

Allen is looking through his weekly local grocery store newspaper ads he notices that Costco is advertising a pack of 60 eggs for $9.35 Safeway is advertising a dozen eggs for $4.79 and Trader Joe's is advertising a pack of 18 eggs for $6.18 which store is offering the better deal?​

Answers

Answer:

Costco

Step-by-step explanation:

We find the cost per egg for each of the three stores.

Costco:

$9.35/(60 eggs) = $0.15583/egg

Safeway:

$4.79/(12 eggs) = $0.39917/egg

Trader Joe's:

$6.18/(18 eggs) = $0.34333/egg

The best deal is Costco.

Answer:

Costco

Step-by-step explanation:

[tex]\frac{60}{9.35}: \frac{1}{y}[/tex]

60 × y = 1 × 9.35

60y = 9.35

60y ÷ 60 = 9.35 ÷ 60

[tex]y=\frac{187}{1200}[/tex]

[tex]\frac{12}{4.79}: \frac{1}{y}[/tex]

12 × y = 1 × 4.79

12y = 4.79

12y ÷ 12 = 4.79 ÷ 12

[tex]y=\frac{479}{1200}[/tex]

[tex]\frac{18}{6.18}: \frac{1}{y}[/tex]

18 × y = 1 × 6.18

18y = 6.18

18y ÷ 18 = 6.18 ÷ 18

[tex]y=\frac{103}{300}=\frac{412}{1200}[/tex]

An angle with measure of 71° is bisect at what angle?​

Answers

Answer:

A

Step-by-step explanation: just divide 71 into 2 which gives you 35.5 making a your answer.

During three consecutive years, an employers salary is increased by 15%. If after three years his salary is 45,400, what was his salary before the raises?

Answers

Answer:

$29,851.24

Step-by-step explanation:

The salary started as x.

Each year it was increased 15%.

A full amount is 100% of the amount. When you add 15% to the amount, you now have 115% of the amount.

115% as a decimal is 1.15; that means that to increase an amount by 15%, multiply the amount by 1.15

For example, let's say you want to know what is a 15% increase on 100. Start with 100. 15% of 100 is 15, so if you add 15% to 100 you expect to get 115.

Now multiply 1.15 by 100. You also get 115 showing you that multiplying a number by 1.15 is the same as adding 15%.

Now let's get back to our problem.

The salary started as x.

Each year, the increase in salary was 15% of the previous salary.

After 1 year the salary is 1.15x.

After 2 years, the salary is 1.15(1.15x).

After 3 years, the salary is 1.15(1.15(1.15x)) = (1.15^3)x

We are told that the salary became $45,400 after the three 15% increases, so

(1.15)^3 * x = 45,400

Multiply out 1.15^3 as 1/15 * 1.15 * 1.15 = 1.520875

1.520875x = 45,400

Divide both sides by 1.520875.

x = 45,400/1.520875

x = 29,851.24

Answer: $29,851.24

Round your number to the nearest hundredth 65 7

Answers

It is either 100 or .001

A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 5) and (4, 10).
The graph shows the height of a tree over time. What can you deduce the rate of change to be from 2 years to 4 years ?
2 inch per year
2.5 inches per year
5 inches per year
10 inches per year

Answers

Answer:

2.5 inches per year

Step-by-step explanation:

We can deduce the rate of change by obtaining the slope or gradient of thw points given :

Gradient = Rise / Run.

Point A (2, 5) ; point B (4, 10)

x1 = 2 ; y1 = 5 ;x2 = 4 ; y2 = 10

Rise = y2 - y1 = 10 - 5 = 5

Run = x2 - x1 = 4 - 2 = 2

Rate of change = Gradient = 5 /2 = 2.5

Which is 2.5 inches per year

Answer: 2.5

Step-by-step explanation: Took the assignment on edge

The sum of 4 consecutive multiples of 6 is 540. What is the greatest of these numbers?

Answers

Answer:

144

Step-by-step explanation:

First: 6x

Second: 6x+6

Third: 6x+12

Fourth: 6x+18

- Since they're multiples of 6

[tex]6x+6x+6+6x+12+6x+18=540[/tex]

[tex]24x+36=540\\[/tex]

Subract 36 from each side give us...

[tex]24x=504\\x=21[/tex]

[tex]21(6)+18=144[/tex]

Hope this helped! Please mark brainliest :)

help me plz----------------------------

Answers

9514 1404 393

Answer:

  A. 5 should have been subtracted in step 4

Step-by-step explanation:

No question is stated, so there is no "answer."

__

If we assume the question is, "What error did Keith make?" then choice A properly describes it.

Step 4 should look like ...

  x -5 = 7y . . . . . . . 5 should be subtracted from both sides

and the final result should be ...

  g(x) = (x -5)/7

The hypotenuse of a 45°, 45°, and 90° triangle is 26 sqrt(2) inches. What is the length of each of the other sides?
(A)13 sqrt(2) inches
(B)13 inches
(C)13 sqrt(3) inches
(D)26 inches

Answers

remember the pythagorean theorem:

a² + b² = c²

where c is the hypotenuse.

so:

[tex] {a}^{2} + {b}^{2} = { ( \sqrt{26)}}^{2} [/tex]

the square and the square root cancel each other out, so...

a² + b² = 26

we know that a and b are of equal length given the angles.

so it's

[tex] { \sqrt{13} }^{2} + { \sqrt{13} }^{2} = 26[/tex]

here the squares and square roots also cancel, but to keep the equation from the formula true we need to write them. that makes the difference between optional and B

Option A is correct,

[tex] \sqrt{13} inches[/tex]

Find the area of the region that is enclosed between the curves y = x2 and
y = x + 6.

Answers

Integrate:

[tex]\displaystyle\int_{-2}^3((x+6)-x^2)\,\mathrm dx = \int_{-2}^3(6+x-x^2)\,\mathrm dx[/tex]

[tex]=\left(6x+\dfrac{x^2}2-\dfrac{x^3}3\right)\bigg|_{-2}^3[/tex]

[tex]=\left(18+\dfrac92-9\right) - \left(-12+2+\dfrac83\right)[/tex]

[tex]=\boxed{\dfrac{125}6}[/tex]

csc(π/2) =__
a.0
b.-1
c.1
d.undefined​

Answers

Hi there!

[tex]\large\boxed{C. \text{ } 1}[/tex]

csc (π/2)

π/2 is located at (0, 1)

csc is equal to 1/y, or the reciprocal of the y-value

Therefore:

csc(π/2) = 1/1 = 1. C is the correct answer.

Hi, Friends,
please help me solve this problem.

Q. terms of a geometric sequence are found by the formula Tn = ar n-1 If a = 3 and r = 2 , find the 4 terms of the sequence.

Answers

9514 1404 393

Answer:

  3, 6, 12, 24

Step-by-step explanation:

It helps if the formula is properly written.

  Tn = a·r^(n-1)

Fill in the given values for a, r, and use n = 1 to 4.

  T1 = 3·2^(1-1) = 3

  T2 = 3·2^(2-1) = 6

  T3 = 3·2^(3 -1) = 12

  T4 = 3·2^(4 -1) = 24

__

Additional comment

The value a=3 tells you the first term is 3. The value r=2 tells you each term is 2 times the previous one. Knowing this, you can write down the sequence based on your knowledge of multiplication tables (×2). You can use the formula as we did above, but it isn't necessary.

  3, 6, 12, 24, ...

Think of 5 positive integers that have a mean, median, mode, and range of 6.

Answers

3,6,6,6,9
To have a mode of 6 there has to be more 6’s than any number
To have a median of 6 it has to be in the center of a list of integers listed from smallest to largest
To have a range of 6 the largest integer subtracted by the smallest should equal 6
To have a mean of 6 there must be 5 numbers that add up to 30

100 POINTS!!!!!
Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.


Question: Given answer the questions that follow.


a. Your friend claims the graph of f(x)=2x increases at a faster rate than the graph of g(x)=x2 when x ≥ 0. Is your friend correct? Explain your reasoning.

b. How are the 2 functions different?

Answers

Answer:

a. The friend is incorrect.

2(x) is the same as x(2). PEMDAS does not apply to the same order of operation under normal conditions and both are directly proportional functions.

b. The parentheses are the only thing making the functions different. After you simplify from the parentheses, both values have the same priority.

Step-by-step explanation:

the answer above is correct i got it right!

Cross out three digits in the number 51489704 so that the resulting number is divisible by 45. What number is left?

Answers

The factors of 45 are 9 and 5.

A number divisible by 45 needs to be divisible by both 9 and 5.

For a number to be divisible by 9 the sum of the digits must also be divisible by 9 and the number needs to end with either a 0 or a 5 to be divisible by 5.

This means the number needs to end with the 0 so cross out the last number (4)

Now find a sum of 5 remaining numbers divisible by 9.

5 + 1 + 4 + 8 + 0 = 18 which is divisible by 9

Cross out 9,7 and the last number 4 to get the number: 51480

Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a​ girl, but assume that the method has no​ effect, so the probability of a girl is 0.5. Assume that the groups consist of 40 couples. Complete parts​ (a) through​ (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 40 births. The value of the mean is μ

Answers

40 because of 0.5 births are gone 40 are coming u. Each time which is the correct

What is the value of x if 2/ 3 - 2 = -4 ?​

Answers

Answer:

x= -3

Step-by-step explanation:

(2x/3)-2=-4

Add 2 to both sides

2x/3=-2

multiply both sides by 3

2x=-6

divide both sides by 2

x= -3

Answer:

x = -3

Step-by-step explanation:

2x/3 - 2 = -4

Add 2 to both sides.

2x/3 = -2

Multiply both sides by 3/2.

x = -2 * 3/2

x = -3

If a silver alloy that costs $6.75 an ounce is
going to be mixed with 55 ounces of a silver
alloy that costs $10 an ounce to make a
mixture that costs $8 an ounce, how many
ounces of the $6.75 an ounce alloy must be
used?

Answers

9514 1404 393

Answer:

  88 ounces

Step-by-step explanation:

Let x represent the number of ounces of the less expensive alloy in the mix. Then the cost of the mix will be ...

  6.75x +10(55) = 8(55+x)

  110 = 1.25x . . . . . . subtract 440+6.75x

  88 = x . . . . . . . . divide by 1.25

88 ounces of $6.75/oz silver must be used.

An economic instructor at UCF is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 11 students who took the course last semester follow:

# of observation(s) n = 30
# of independent variable(s) = 1
SSR = 1,297 SSE= 920

Required:
Find the F test statistic.

Answers

Answer:

[tex]F = 39.47[/tex]

Step-by-step explanation:

Given

[tex]n = 30[/tex] --- observations

[tex]p = 1[/tex] -- variables

[tex]SSR = 1,297[/tex]

[tex]SSE= 920[/tex]

Required

The F statistic

This is calculated using:

[tex]F = \frac{SSR}{p} \div \frac{SSE}{n - p -1}[/tex]

[tex]F = \frac{1297}{1} \div \frac{920}{30 - 1 -1}[/tex]

[tex]F = \frac{1297}{1} \div \frac{920}{28}[/tex]

[tex]F = 1297 \div \frac{920}{28}[/tex]

Rewrite as:

[tex]F = 1297 * \frac{28}{920}[/tex]

[tex]F = \frac{1297 *28}{920}[/tex]

[tex]F = \frac{36316}{920}[/tex]

[tex]F = 39.47[/tex]

Other Questions
Which of the following ideas is central to communist philosophy?A. O Government should not attempt to regulate the economy.B. Leaders derive their right to rule from the will of God.C. The interests of the group must be placed before the interests of the individual.D.Individuals must show respect for their ancestors and religious traditions. State the final conclusion in simple nontechnical terms.Original claim: The proportion of male golfers is less than 0.6.Initial conclusion: Fail to reject the null hypothesis.Which of the following is the correct conclusion?A. There is suffficient evidence to support the claim that the proportion of male golfers is less than 0.6.B. There is not sufficient evidence to support the claim that the proportion of male golfers is less than 0.6. We will leave immediately; consequently, we will arrive on time.conjunctive adverbcoordinating conjunctioncorrelative conjunctionsubordinating conjunction Sebastin se encuentra en una parada de trenes. El tren n 15 pasa sin detenerse a una velocidad de 35 km/h. Si situamos el sistema de referencia en Sebastin, el tren n 15 est en reposo o en movimiento? what is a value between 1/4 and 1/3 is What is the slope of the graph? Pls help ASAP!!!!!Find the average rate of change from d=4to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents. 1/f = 1/d + 1/d' How do I find d'? Paragraph on "Computer is the need of hour " A pizza dough recipe calls for 6 1/2 cups of flour. The recipe makes 37 1/2 ounces of dough. How many ounces of dough does 1 cup of flour make? The specific pace and quota of work and tight surveillance indicate that company 1 has a(n) _______ culture. James charges $4 per car plus $10 per hour in his car washing business use an equation to describe the earning he receives per car Based on the following construction which statement below must NOT be true? Which system of equations below has no solution Will give brainliest answer please give explanation 33.5 cs=_________s You simultaneously release two balls: one you throw horizontally, and the other you drop straight down. Which one will reach the ground first? Why?(a) The ball dropped straight down lands first, since it travels a shorter distance.(b) Neither. Their vertical motion is the same, so they will reach the ground at the same time.(c) It depends on the mass of the ballsthe heavier ball falls faster so lands first 9/5C + 32 =59I'm stuck on how to do this .. please help ____ of the footballers wasgiven a cash prize for winning thechampionship(a) All(b)Any(d) Most(C)Some(e)Each A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices - a, b, c, d, e- and only one correct answer. What is the probability that she answered neither of the problems correctly? Do not round your answer. (If necessary, consult a list of formulas.) If 5kg Stone and 1kg stone throw the from the building which will land more fa ster and why?