Given points B (-9,5), L (5, 13), U (8,-4), and E(-1,-6).
A) Find the component form of vector BE.
B) Find the component form of vector UL.

Answer:

Scientific notation is a way of writing very large and very small numbers.

A number in scientific notation has the form  

N

×

10

a

, where  

N

is a number between 1 and 10, and  

a

is a positive or negative integer.

To convert to scientific notation, you move the decimal point until the new form is a number between 1 and 10 (

N

) and then record the exponent (

a

) as the number of places the decimal point was moved.

If you move the decimal to the right, the exponent is negative.

Express  

0.000 000 03 g

in scientific notation.

Step 1. Move the decimal place to the right to create a new number between 1 and 10.

This gives  

N

=

3

.

Step 2. Count the number of times you moved the decimal.

You moved the decimal 8 places to the right.

That means the exponent  

a

=

-8

.

Step 3. Write the number in scientific notation.

0.000 000 03 g

=

3

×

10

-8

l

g

Step-by-step explanation:

Answer:22

Step-by-step explanation:

Add

Multiply

Divide

Answer:

Number of total arrangement of beads = 2,520

Step-by-step explanation:

Given:

Number of beads in necklace = 8 beads

Find:

Number of total arrangement of beads

Computation:

Changing beads is a cyclic permutation,

So,

Formula to find number of total arrangement in cyclic permutation

(n-1)!/2 , where n = number of item

So,

(n-1)!/2

Number of total arrangement of beads = (8-1)!/2

Number of total arrangement of beads = (7)!/2

Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2

Number of total arrangement of beads = 5,040 / 2

Number of total arrangement of beads = 2,520

Answer:

370 square millimeters

Step-by-step explanation:

2x9x5=90

2x10x5=100

2x10x9=180

90+100+180=370 square millimeters

Answer

450mm^3

Step-by-step explanation:

the picture has the workings

A=l×w×h

A=10mm×9mm×5mm

A=450mm^3

Answer: $16.60

Step-by-step explanation:

Price + Tax = 12.35+0.93

Total + tip = 13.28+3.32

total: 16.60

The total money did Carl pay for breakfast including the price of his meal, sales tax, and tip  $16.60

We have given that,

Carl went out for breakfast.

• The price of his meal was $12.35.

• The sales tax was 7.5% of the price of the meal.

• The tip was 25% of the price of the meal and the sales tax.

We have to determine the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip.

Total money=price + tax

Price + Tax = 12.35+0.93

Total + tip = 13.28+3.32

Total money =16.60

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Answer:

look at the picture

Step-by-step explanation:

I'm not sure about the value of x but I believe it is -23

Answer:

0.000096

Step-by-step explanation:

Answer:0.000096

Step-by-step explanation:

i looked it up good luck on your khan academy xD!

Step-by-step explanation:

So, Start with the formula

V= pi ×R² × H

V= pi × 9² × 2

V= pi × 81 × 2

V = 162 pi in³

Then ×2 = 342 in³

required volume =162π or 508.94or 509in³

Answer:

solution given:

radius (r)=9in

height(h)=2 in

we have

volume [V]=πr²h=π×9²×2=162π or 508.94in³

Answer:

17.6

Step-by-step explanation:

But im not sure if u can use decimals

Answer: 8.6

Step-by-step explanation:

Using pythagorean theorem, c²=a²+b² you can find the distance between AB.

c²=7²+5²

c²=74

√c²=√74

c=8.6

Answer:

A

Step-by-step explanation:

240-35)=205

240-35

205

Answer:

Step-by-step explanation the first one

Answer:

B

Step-by-step explanation:

i got a 95% so i thinks its right

Answer:

27/64

Step-by-step explanation:

(3/4)^3 = 27/64

Answer:

150.72 units^3

Step-by-step explanation:

Formula: πr2h

3.14 x 4^2 x 3 = 150.72 units^3

Answer:

15,000

Step-by-step explanation:

1/3 times 45,000 = 15,00

The number of blue pens produced at the factory in a week when 45,000 pens are produced is 15,000.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

A factory produces blue pens and black pens.

2/3 of the pens produced at the factory are black.

If T is the total pens produced at the factory, then the number of black pens produced is 2/3 T.

Number of blue pens = T - 2/3 T = 1/3 T

Given that,

Total pens produced = 45,000

Equation to find the number of blue pens is,

x = 1/3 × 45,000

Solving,

x = 15,000

Hence the number of blue pens produced is 15,000.

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Answer:

Amount of interest earned = $78,925

Step-by-step explanation:

Given:

Amount deposit = $410,000

Rate of interest = 3.85% = 0.0385

Number of year = 5 year

Find:

Amount of interest earned

Computation:

Using simple interest formula

Amount of interest earned = Amount deposit x Rate of interest  x Number of year

Amount of interest earned = 410,000 x 0.0385 x 5

Amount of interest earned = $78,925

Answer:

A if I'm not incorrect. Sorry if I am incorrect I'm bad at math.

Answer:

Third one

Step-by-step explanation:

;b

Answer:

0.375 = 37.5% probability that two of the coins will land ‘heads’ up

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it lands heads, or it lands tails. The probability of a coin landing heads is independent of any other coin. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Four well-balanced coins.

This means that [tex]n = 4, p = 0.5[/tex]

What are the odds that two of the coins will land ‘heads’ up?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]

0.375 = 37.5% probability that two of the coins will land ‘heads’ up

Answer: It should be 825

Step-by-step explanation:

Answer:

6 units^2

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]3^{2} +b^{2} =5^{2}[/tex]

[tex]9+b^{2} =25[/tex]

[tex]b^{2}=16[/tex]

[tex]b=4[/tex]

Area of the triangle = Base * Height * 1/2 = 3 * 4 * 1/2 = 6 units^2

Answer:

The tree grows 3,14 centimeters per year

Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.

Step-by-step explanation:

Answer:

jbhhj

Step-by-step explanation:

kkkk

Answer:

1033.2 g or 1.033 kg

Step-by-step explanation:

(620/12)(20) = 1033.2 g

Answer:

b

Step-by-step explanation:

Answer:

i dont know because you have not really explained it

Step-by-step explanation:

The quotient of the division of 145413 by 321 is 453.

Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.

We are using long division method here.

For that dividend is 145413 and divisor is 321.

First take the first some digits of dividend which is greater than 321.

That is the first four digits, 1454.

The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321

So the first digit of quotient is 4.

1454 - 1284 = 170

Now 170 is less than 321.

Add the next digit of the dividend to 170.

It becomes 1701.

Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.

The next digit of the quotient is 5.

1701 - 1605 = 96

Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.

Now 963 is a multiple of 321, where 963 = 3 × 321

So the next digit of the  quotient is 3.

Quotient = 453

Hence the quotient of the given division is 453.

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Answer:

D) Africa has more users than the Middle East but fewer users than North America.

Step-by-step explanation:

Hope it helps :)

Answer:

-2. 0. 3. 4

Step-by-step explanation:

counterexample are the opposite so ur gonna chose the false ones the number has to be less than 7 so -2 0 3 4