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Let r = ⟨5, –1⟩, s = ⟨6, 0⟩, and t = ⟨–1, –3⟩. Aaron incorrectly determined 2r + 4s – 7t as ⟨41, –23⟩. Review his calculations.
2r + 4s – 7t
2⟨5, –1⟩ + 4⟨6, 0⟩ – 7⟨–1, –3⟩
⟨10, –2⟩ + ⟨24, 0⟩ + ⟨7, –21⟩
⟨41, –23⟩

What mistake did Aaron make?

He added ⟨10, –2⟩ + ⟨24, 0⟩ + ⟨7, –21⟩ incorrectly.
He should have subtracted ⟨7, –21⟩ rather than add.
He did not correctly distribute 4 to both components of s.
He did not correctly distribute the negative when subtracting 7t.

Answer:

= 10root6 i

Step-by-step explanation:

= 5 • 2root6 i

= 10root6 i

Answer:

z=(84-p(51+z))/d

Step-by-step explanation:

Answer:

1,680

Step-by-step explanation:

n!/(n-r)!

in this case n= 8 and r= 4

so 8!/(8-4)! = 1,680

The possible permutation of 8 objects taken at 4 a time will be 1680.

The linear arrangement of the set of the orders or the linear arrangements of the numbers is called the permutation.

The number of possible permutations of 8 objects taken 4 at a time will be:-

[tex]^8C_4=\dfrac{8!}{(8-4)!}[/tex]

[tex]^8C_4=\dfrac{8!}{(4)!}[/tex]

[tex]^8C_4=\dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2}{4\times 3\times 2}=1680[/tex]

Therefore the possible permutation of 8 objects taken at 4 a time will be 1680.

To know more about permutations follow

https://brainly.com/question/1216161

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Height at an instance of time is given by :

h(t) = -4( t - 2 )² + 5     .....1

Differentiating above equation with respect to t .

[tex]\dfrac{dh}{dt}= -4\times ( -2 ) ( t - 2 ) \\\\\dfrac{dh}{dt}= 8(t-2)[/tex]

Now, for maximum , [tex]\dfrac{dh}{dt} = 0[/tex] .

8( t - 2 ) = 0

t = 2

Putting value of t = 2 in given equation, we get :

h( 2 ) = -4( 2 - 2 )² + 5

h( 2 ) = 5 m

Therefore, maximum height rocket can reach is 5 m.

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

if you higher the hight than there is more potential energy and kinetic energy in the end

Answer:

y = 1

Step-by-step explanation:

y is inversely proportion to x means that ,

y ∝ 1/x or ,

[tex]y\ \alpha\ \frac{1}{x}[/tex]

When we remove the proportionality sign we get,

[tex]y=k(\frac{1}{x})\\y=\frac{k}{x} \\[/tex]

now we know the point is (2 , 3) which means it corresponds to (x , y) which furthermore means y=3 when x=2,

so we insert these values and get the value of k.

[tex]y=\frac{k}{x} \\\\3=\frac{k}{2}\\\\6=k\\[/tex]

now the equation becomes,

[tex]y=\frac{6}{x}[/tex]

now we need to find y when x is 6 so just replace x with 6

[tex]y=\frac{6}{x}\\\\y=\frac{6}{6} \\\\y=1[/tex]

so we get the value of y is 1

Answer:

8 boys for every 10 girls

Step-by-step explanation:

Answer:

point b

Step-by-step explanation:

took the test

Answer: point b

Step-by-step explanation: because the mans who asked the question is a legend

Answer: A) 1.8*10^10

Step-by-step explanation:

Multiply the constants together, and multiply the multiples of 10 together.

6*3 = 18

10^4 * 10^5 = 10^9

which gives you 18 * 10^9, but that isn't in scientific notation, because 18 isn't a number between 1 and 10

so you get 18 * 10 ^9

which is equal to 1.8*10^10

Hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

8 units separate -4 and 4

8 divided by 2 (which is the x of slope) is four

Four times 1 (which is y of slope) equals four

3+4 equals seven

(4,7)

Answer:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set

Step-by-step explanation:

Answer:

(300,15) [tex]\frac{y}{x}[/tex]=15/300=1/20

Step-by-step explanation:

How much money does Clare make after stuffing 1,500 envelopes?

Clare: y=1/10x=1/10(1500)=$150

How much money does Han make after stuffing 1,500 envelopes?

Han: y=1/20x=1/20(1500)=$75

What is Clare's rate of change?

1/10 means $1 for 10 envelopes

What is Han's Rate of change?

1/20 means $1 for 20 envelopes

Who gets paid more?

Clare gets paid more

Answer:

N<5

Step-by-step explanation:

Check out the pic

In one full rotation/revolution, a point on the edge travels a distance equal to the circumference of the gyroscope, or 2π (18 cm) = 36π cm. Convert the angular speed, 36π cm/rev, to linear speed:

(36π cm/rev) • (35 rev/min) = 1260π cm/min ≈ 3958 cm/min

Answer:

$7.25

Step-by-step explanation:

Total amount spent on the ticket   = $40.75

Number of ticket purchased  = 5

Processing fee per ticket  = $0.90

Unknown:

Cost of each ticket = ?

Solution:

To solve this problem, we need to find the processing fee for the 5 tickets purchase;

      Processing fee = number ticket x processing fee per ticket

      Processing fee  = 5 x 0.9  = $4.5

Now, the real cost a ticket = $40.75  - $4.5  = $36.25

So, cost per ticket is;

        Cost  = [tex]\frac{36.25}{5}[/tex]   = $7.25

Answer:

The correct answer is c.

the slope is 9

y intercept is -2

Step-by-step explanation:

When you right the equation it is in slope intercept form in which m and y are whole numbers

[tex]distance = | \frac{2 - ( - 1)}{ \sqrt{ { (\frac{ - 1}{4} )}^{2} + {( - 1)}^{2} }} | \\ = \frac{1 2\sqrt{17} }{17} \\ = 2.9[/tex]

Answer: x=−0.518396

Step-by-step explanation:

Answer:

[tex] x=\ln (4.4) - 2 [/tex]

Step-by-step explanation:

[tex] 5e^(x+2)-8=14 [/tex]

[tex] 5e^(x+2)=22 [/tex]

[tex] e^(x+2)=4.4 [/tex]

[tex] \ln [e^(x+2)]=\ln 4.4 [/tex]

[tex] x+2=\ln 4.4 [/tex]

[tex] x=\ln (4.4) - 2 [/tex]

Answer:

14776.8

Step-by-step explanation:

Yeahh its that because its the difference and the elevation for the death valley is below sea level so if you do

x-(-y) you essentially get x+y so therefore you add the two numbers and your good (x stands for that mountain and y is for the death valley

Answer:

x = 5

Step-by-step explanation:

Given

3x - 5(x - 5) = - 7 + 2x + 12 ← distribute and simplify left side

3x - 5x + 25 = 2x + 5

- 2x + 25 = 2x + 5 ( subtract 2x from both sides )

- 4x + 25 = 5 ( subtract 25 from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

Answer:

8 cups max

Step-by-step explanation:

3/4 cup = 1 recipe

6 2/3(20/3) cup =  20/3 x 1

                                  3/4

= 20 / 3

   3     4

= 20 x 4

   3     3

= 80/9

= 8 cups max

the 9th cup will not be enough.