A force of 10 newtons acts in a direction 75° above horizontal, moving an object 15 meters from (0, 0) to (15, 0). What is the work done by the force? 2. 59 joules 3. 88 joules 38. 82 joules 150. 00 joules.

Answer:

600 m/s2 ×300 kg = 180000 kg.m/s2

Answer:

180000Kgm/s2

Step-by-step explanation:

Force is the product of mass and acceleration. So F=MA

F=600 x 300

F=180000

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer: X = 16

Step-by-step explanation:

so 6^(X-4) = 6^12

X = ?

we can rewrite it as X - 4 = 12 since the bases are the same

now solve for X

X = 12 + 4

X = 16

The number that shows seventy-three hundredths in standard form will be 0.73.

In conclusion, the correct option is 0.73.

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The value of DE=f= 8.5 units, ∠D=39.5° and ∠F=  50.5°using SIne-Law, on the basis of values given in the triangle DEF,  ∠E=90°, Side EF=d=7 units and Side DF= e=11 units.

What is Sine-Law?

The sine law is defined as the reciprocal of the length of the opposing side to the sine of the angle. Regarding their sides and angles, it is true for each of a triangle's three sides. trigonometric sine law In a triangle ABC, the sine of one angle is equal to the sine of another angle divided by the side a, which is equal to the sine of another angle divided by the side b, which is equal to the sine of another angle divided by the side c.

Sine law:\(\frac{e}{SinE} =\frac{f}{SinF} =\frac{d}{SinD}\) or \(\frac{SinE}{e} =\frac{Sin F}{f} =\frac{SinD}{d}\)

Given that in ΔDEF, ∠E=90°, Side EF=d=7 units and Side DF= e=11 units.

Using \(\frac{SinE}{e} =\frac{SinD}{d}\) ,we can evaluate ∠D

         \(\frac{Sin 90}{11} =\frac{SinD}{7}\)

            \(\frac{1}{11}\)   = \(\frac{SinD}{7}\)

      SinD   =    \(\frac{1}{11}\)  × 7

      Sin D = 0.6363

          ∠D = 39.52

On rounding off ∠D = 39.5°.

For ∠F, we can use angle sum property of triangle:

∠E + ∠F + ∠D = 180°

90 + ∠F + 39.5 = 180°

                   ∠F = 180-129.5

                    ∠F = 50.5°

And for side DE=f, we can use

\(\frac{e}{SinE} =\frac{f}{SinF}\)

\(\frac{11}{Sin 90}\)  = \(\frac{f}{Sin50.5}\)

\(\frac{11}{1}\)      =\(\frac{f}{0.7716}\)

      f = 11 x 0.7716

      f = 8.48

On rounding off f, DE =8.5 units

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Answer:

54

Step-by-step explanation:

Answer: $4.22

Step-by-step explanation:

bananas: 2kg x \(\frac{2.10}{5kg}\) = $0.84

mangoes: 3kg x \(\frac{2.48}{4kg}\) = $1.86

pineapples: 2kg x \(\frac{2.28}{3kg}\) = $1.52

add together:

$4.22

Step-by-step explanation:

When adding or subtracting fractions, they must have a common denominator....20 is the easiest for these...this then becomes

b +  16/20  = 35/20     now subtract 16/20 from both sides of the equation

b = 35/20 - 16/20

b = (35-16)/20 =  19/20      

We find that the proportion of her laps that fall between 127 and 130 seconds is about 0.139. Any lap time under 135.25 seconds would be considered one of the fastest 2% of her laps. The middle 70% of her laps are between 119 and 131 seconds.

To answer your questions, we first need to have some context on what we're dealing with. You mentioned "her laps," so I assume we're talking about a person who is running or swimming laps. We also need to know the distribution of her lap times (i.e., are they normally distributed, skewed, etc.) in order to answer these questions accurately. For now, let's assume that her lap times are normally distributed.
To find the proportion of her laps that are completed between 127 and 130 seconds, we need to calculate the area under the normal distribution curve between those two values. We can do this using a calculator or a statistical software program, but we need to know the mean and standard deviation of her lap times first.

Let's say the mean is 125 seconds and the standard deviation is 5 seconds. Using a standard normal distribution table or calculator, we find that the proportion of her laps that fall between 127 and 130 seconds is about 0.139.
To find the fastest 2% of laps, we need to look at the upper tail of the distribution. Again, we need to know the mean and standard deviation of her lap times to do this accurately. Let's say the mean is still 125 seconds and the standard deviation is 5 seconds. Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 98th percentile (i.e., the fastest 2% of laps) is about 2.05. We can then use the formula z = (x - mu) / sigma to find that x = z * sigma + mu, where x is the lap time we're looking for. Plugging in the numbers, we get x = 2.05 * 5 + 125 = 135.25 seconds.

Therefore, any lap time under 135.25 seconds would be considered one of the fastest 2% of her laps.
Finally, to find the middle 70% of her laps, we need to look at the area under the normal distribution curve between two values, just like in part However, we need to find the values that correspond to the 15th and 85th percentiles, since those are the cutoffs for the middle 70%. Using the same mean and standard deviation as before, we can use a standard normal distribution table or calculator to find that the z-scores corresponding to the 15th and 85th percentiles are -1.04 and 1.04, respectively.

We can find that the lap times corresponding to those z-scores are 119 seconds and 131 seconds, respectively. Therefore, the middle 70% of her laps are between 119 and 131 seconds.

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Answer:

37 is the correct answer

Step-by-step explanation:

15 1/2+ 3/4=16 1/4

to add fractions what you want to do is this:

so you want them as the same denominator, a way to do this is multiply one denominator with another (ex, 2 in 1/2. you want to multiply 4 with 2 which equals 8 and 2 with 3. this together equals 6/8. do the same thing with 1/2. 1×4=4 2×4=8. 4/8)

so, whats 4/8 and 6/8? just adding it like usual, it'll be 10/8, or 1 2/8.

15+1 2/8=16 2/8

16 2/8 simplified (just divide by 2 until you make it to where you cant anymore)

16 1/4

do the same with the other adding ones.

23 1/6+8 3/4=23 11/12

15 2/5+ 2 2/6= 17 11/15

now, do the same way as showed before but except subtract.

9/10 - 3/5 = 15/50

7 3/4 - 5 5/8 = 1/8

20 5/8= 1/8

Answer:

3/5 = 3/5

= 0.6

Answer:

p = 4n

p = 312 passengers

n = 19.5 cars

Step-by-step explanation:

Let

n = number of cars

p = number of passengers

a. p = 4n

b. p = 4n

Find p if n = 78

p = 4n

p = 4 * 78

p = 312 passengers

c. Find n if p = 78

p = 4n

78 = 4n

Divide both sides by 4

78 / 4 = 4n / 4

19.5 = n

n = 19.5 cars

The sum of supplementary angles is 180°.

=> < F+<S=180°

Given: <S=99°

•

•• <F+99°= 180°

<F= 180°-99°

<F= 81°

Answer:

60 ft cubed

Step-by-step explanation:

3 x 4 x 1

= 12

6 x 8 x 1

=48

The 6 comes from dividing the shape into smaller rectangles, one rectangle is a 3 x 4 and the other is a 6 x 8

Answer: the bottom one

Step-by-step explanation:

i think its the bottom one i did some math

Answer:

THe answer you are looking for is A

Step-by-step explanation:

:) HAVE A GWEAT DAY

Kenji got the wrong answer because he counted One-fifth instead of Three-fifths.

Fractions are the ratio of writing a part or portion of a whole.

If we take two integers a and b, then we can write a fraction a/b which indicates that 'a' part in a whole 'b'.

Here number on the top 'a' is called the numerator and the number on the bottom 'b' is called the denominator.

Kenji has to find the quotient of 9/10 to 3/5.

(9/10) / (3/5) = (9/10) × (5/3)

That is, on dividing two fractions, the fraction on the denominator would change into its reciprocal and comes to multiply with the fraction on the numerator instead of division.

Hence (9/10) × (5/3) = 3/2, which is the correct answer.

But Kenji got the answer as 4 1/2 which can be changed into the improper fraction 9/2.

When he divide 9/10 with 1/5 he will get,

(9/10) / (1/5) = (9/10) × (5/1) = 9/2, which is the answer Kenji got.

Hence Kenji got the wrong answer as he counted by One-fifth instead of Three-fifths in the operation.

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a.) From the table, it is clear that Account B's balance rises by 0.15 thousand dollars annually whereas Account A's balance rises by 0.1 thousand dollars. This suggests that each account will change at the same rate over time.

b.) Assume that A(t) and B(t) represents the balances in Accounts A and B at time t years after the year 2000, respectively. We may define these functions using the information in the table as follows:

B(t) = 10 + 0.15t where A(t) = 5 + 0.1t

An account balance refers to the total amount of money, including both deposits and withdrawals, in a bank account, credit card account, or any other financial account at any given time.

The balance can be, indicating that there is money in the account, or negative, indicating that the account holder owes money. A positive account balance means that there are more deposits than withdrawals, while a negative balance means that the opposite is true.

Account balances are used to track and manage personal finances, pay bills, and make purchases. They can also be used to monitor and reconcile bank statements, ensure that account transactions are accurate, and that the account holder is aware of any fees or charges that may have been incurred.

a. Looking at the table, we can see that the balance for Account A increases by 0.1 thousand dollars each year, while the balance for Account B increases by 0.15 thousand dollars each year. This indicates a constant rate of change for each account over time.

b. Let A(t) and B(t) be the balance in Account A and Account B, respectively, at time t years since 2000. Using the data from the table, we can define these functions:

A(t) = 5 + 0.1t

B(t) = 10 + 0.15t

c. Yes, Account A will have the same balance as Account B at some point in time. We can find this point by setting A(t) equal to B(t) and solving for t:

5 + 0.1t = 10 + 0.15t

0.05t = 5

t = 100

So, Account A and Account B will have the same balance after 100 years since 2000, i.e., in the year 2100. We know this because the two accounts are increasing at a constant rate, and the difference between their balances is also increasing at a constant rate. Therefore, the difference between their balances will eventually become less than or equal to zero, meaning they will have the same balance at that point in time.

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Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

Answer:

A

Step-by-step explanation:

I'm assuming this is in terms or the x axis so:

-1, -5

They are both pieces of the coordinates that are used to find the point in terms of the x axis

A (the first one)

Answer:

aaaaaaaaaa

Step-by-step explanation:

Answer:

6 zebras

Step-by-step explanation:

Answer:

n= 19/7 I hope this helped!

Step-by-step explanation:

Answer:

2.714285714285714

Step-by-step explanation:

Answer:

Step

Y-0=-3/4(x-8)

Y=-3/4x+6

The radius of the semi circle is 6 inches and the circumference of the semi circle is 18.84 inches.

A semi circle is half of a circle. The radius and circumference of the semi circle can be found as follows:

Therefore, radius is half of the diameter of a circle.

Hence,

radius of the semi circle  = 12 / 2

radius of the semi circle  =  6 inches

Therefore, let's find the circumference of the semi circle.

circumference of the semi circle = πr

circumference of the semi circle = 3.14 × 6

circumference of the semi circle =  18.84 inches

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Answer:

a = 80

b = 40

c = 58

d = 19

e = 34

f = 36

Pls mark brainliest. Thanks!

Answer:

a = 80

b=40

c=58

d=19

e=34

f=36

Step-by-step explanation: