Given a vector with the initial point, (4,2) and the terminal point, (-3,1), find the vector in unit vector form.

-7i - j
-7i + 3j
i + j
i + 3j

Answer:

5x + 10y + 5z

Step-by-step explanation:

( 1/2 x 10x ) + ( 1/2 x 20y ) + ( 1/2 x 10z )

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Answer:

This is the answer. All the very best. Do it

Answer:

B.

Step-by-step explanation:

To find the value of w in terms of x and y, we need to substitute the given values of x and y into the equation for w. First, we are given the equation [tex]x = 3(y + 2) - 1[/tex].

Let's simplify this equation before substituting it into the equation for w. Expanding the equation, we have: [tex]x = 3y + 6 - 1 x = 3y + 5[/tex] Now we can substitute the value of x into the equation for w. w [tex]= (x - 3y + 1) / 3[/tex] Substituting the value of x from the earlier equation: w [tex]= (3y + 5 - 3y + 1) / 3 w = (6y + 6) / 3[/tex]

At this point, we can further simplify the equation by dividing both the numerator and denominator by 3: w[tex]= 2y + 2[/tex]Therefore, the value of w in terms of x and y is w[tex]= 2y + 2. I[/tex]n summary: Starting with x [tex]= 3(y + 2) - 1,[/tex]we substituted the value of x into the equation for w and simplified to obtain w [tex]= 2y + 2.[/tex]

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Answer:

a= -12

hope it helps.

and also sorry, if I'm wrong.

Answer:

a=-24

Step-by-step explanation:

a-8×6=12×-6

a-48=-72

a=-72+48

a=-24

Answer:

decimal: 0.32 percent: 32%

Step-by-step explanation:

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]x^{3} * 3^{3} = 6^{3}[/tex]

[tex]=> (3x)^{3} = 6^{3}[/tex]

[tex]=> 3x = \sqrt[3]{6^{3}} = 6[/tex]

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

Answer:

[tex] {x}^{3} \times {3}^{3} = {6}^{3} \\ take \: cube \: root \: on \: both \: side \ \\ \sqrt[3]{ {x}^{3} } \times \sqrt[3]{ {3}^{3} } = \sqrt[3]{ {6}^{3} } \\ x \times 3 = 6 \\ x = \frac{6}{3} \\ x = 2 \\ thnk \: you[/tex]

Answer:

They have to go 30 m below sea level to reach wreckage.

Step-by-step explanation:

jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level.

Below sea level means = -40 m

Above sea level means = +10 m

It means,

-40 m + 10 m

= -30 m

Hence, they have to go 30 m below sea level to reach wreckage.

Answer:

it c

Step-by-step explanation:

you have to time 5 with the c and 40 time 41 then add the two answers

Answer:

Median: 3.5 Mode: 3, 7 Mean: 4.2

Step-by-step explanation:

hope this helps :)

Answer:

450.01

Step-by-step explanation:

Answer:

C: A randomized block design experiment

Step-by-step explanation:

We are told the participants are divided by gender into groups which we can call blocks. Then, within each group, they are randomly assigned to either the treatment or control group. This means they are assigned treatments within each block.

A randomized block design is defined as an experimental design whereby the experimental units are divided into groups which we call blocks. After that treatments will be randomly assigned to the experimental units within each of the blocks.

Thus, this corresponds with our question and we can say it's a randomized block design experiment.

9514 1404 393

Answer:

  120

Step-by-step explanation:

The first one can be any of 6. The second can be any of the remaining 5, and the third can be any of the remaining 4. The total number of possible displays is ...

  6 × 5 × 4 = 120

3 posters of 6 can be displayed 120 ways.

Answer:

Step-by-step expla

To find the volume of a cone, use the equation: V = 1/3Bh.

In this equation, V is the volume, B is the base, and h is the height.

We are given that the base is 12 inches, and the height is 18 inches. With those necessary values, we can substitute those values, and calculate it.

V = 1/3(12)(18)

V = 4(18)

V = 72.0

Therefore, the volume of this glass is 72.0 cubic inches.

Answer:

f(x)=-3x+9

Step-by-step explanation:

Answer:

- 1/4 × 2/5 + - 4/5 + - 3/4 = -33

20

= -1 13

20

= -1.65

Step-by-step explanation:

Answer:

the answer iss...−1.65

Step-by-step explanation:

Answer:

[tex]\boxed{\blue{ \sf Perimeter \ of \ the \ figure \ will \ be \ 28 units . }}[/tex]

Step-by-step explanation:

Given points to us are ,

[tex]\qquad A(-4,2) \\\qquad B(3,2)\\\qquad C(3,-5) \\\qquad D(-4,-5) [/tex]

For the graph refer to the attachment .

On plotting the graph we see that , it forms a shape of a square .

And , Distance between two points is 4 + 3 = 7 units .

And , the perimeter of square is given by ,

[tex]\qquad \boxed{\red{\sf Perimeter_{square}=4(side) }}[/tex]

[tex]\implies Perimeter_{square}=4(side) \\\\ \implies Perimeter= 4 \times 7 units \\\\\boxed{\pink{\tt \implies Perimeter_{square}=28 \:units . }}[/tex]

Hence the perimeter of the figure is 28 units .

Step-by-step explanation:

8 will be the answer might be

Answer:

P(X< 40) = 0.014367

Step-by-step explanation:

From the given information:

Suppose X denotes the strength of each steel strand & X follows the lognormal distribution with a mean value [tex]\mu_x[/tex] = 50 kips & coefficient of variation CV = 10%

Using the formula for the coefficient of variation CV

[tex]cv = \dfrac{\sigma_x}{\mu_x}[/tex]

[tex]0.10 = \dfrac{\sigma_x}{50}[/tex]

[tex]\sigma_x = 50 (0.10)[/tex]

[tex]\sigma_x = 5[/tex]

By applying the mean and mean & variance from the lognormal distribution, we have:

[tex]\dfrac{\sigma_x^2}{\mu_x}= \dfrac{\{exp(2 \mu + \sigma^2)\} (exp(\sigma^2))-1}{exp( \mu + \dfrac{\sigma^2}{2} \}}[/tex]

[tex]\dfrac{5^2}{50}= \dfrac{\{exp(2( \mu + \dfrac{\sigma^2}{2})) \} (exp(\sigma^2))-1}{exp( \mu + \dfrac{\sigma^2}{2} \}}[/tex]

[tex]\dfrac{5^2}{50}= exp \{ 2 ( \mu + \dfrac{\sigma^2}{2}) - ( \mu + \dfrac{\sigma^2}{2}) \} \{ ( exp ( \sigma^2))-1 \}[/tex]

[tex]\dfrac{5^2}{50}=exp \{(\mu + \dfrac{\sigma^2}{2}) \} {(exp (\sigma^2))-1 \}[/tex]

[tex]\dfrac{5^2}{50}=50 \{ (exp (\sigma^2 )) -1 \}[/tex]

[tex]\dfrac{25}{50 \times 50 }= ( exp (\sigma^2 )) -1[/tex]

[tex]exp( \sigma^2) = \dfrac{25}{50 \times 50}+ 1[/tex]

[tex]exp( \sigma^2) = (\dfrac{25+2500}{2500 })[/tex]

[tex]exp( \sigma^2) =1.01[/tex]

[tex]\sigma^2 = In (1.01)[/tex]

[tex]\mathbf {\sigma^2 = 0.00995}[/tex]

However, the next process is to replace the value of [tex]\sigma^2[/tex] into the logman distributions mean.

[tex]\mu_x = exp ( \mu + \dfrac{\sigma^2}{2})[/tex]

[tex]50 = exp ( \mu + \dfrac{\sigma^2}{2})[/tex]

[tex]50 = exp ( \mu + \dfrac{0.00995}{2})[/tex]

[tex]In(50) = ( \mu + \dfrac{0.00995}{2})[/tex]

3.912023 = μ +0.004975

μ = 3.907048

Now, we know our mean to be  3.907048 and the variance to be 0.00995.

Therefore, the probability that the weakest strand will have a strength of fewer than 40 kips can be computed as follows:

P(X< 40) = P(In(x) < In(40))

[tex]P(X<40) = P(\dfrac{In(x) - \mu}{\sigma} < \dfrac{In(40) - \mu}{\sigma})[/tex]

since;

[tex]\sigma^2 = 0.00995 \\ \\ \sigma = \sqrt{0.00995} \\ \\ \sigma = 0.0998[/tex]

[tex]P(X<40) = P(Z < \dfrac{In(40) - 3.907048}{0.0998})[/tex]

P(X< 40) = P(Z < -2.18712)

Using the Excel formula =(=NORMDIST (-2.18712)

P(X< 40) = 0.014367

Answer:

[tex]108\ \text{m}^2[/tex]

Step-by-step explanation:

The sides are rectangle is shown in the diagram

The perimeter of the fence will be

[tex]3x+2y=36\\\Rightarrow x=\dfrac{36-2y}{3}[/tex]

Area of the smaller section of the garden

[tex]A=xy\\\Rightarrow A=\dfrac{36-2y}{3}y\\\Rightarrow A=\dfrac{36y-2y^2}{3}[/tex]

Differentiating with respect to y we get

[tex]\dfrac{dA}{dy}=\dfrac{1}{3}(36-4y)[/tex]

Equating with zero we get

[tex]\dfrac{1}{3}(36-4y)=0\\\Rightarrow 36-4y=0\\\Rightarrow y=\dfrac{36}{4}\\\Rightarrow y=9[/tex]

Double derivative of area

[tex]\dfrac{d^2A}{dy^2}=-4<0[/tex]

at y = 9 the area is maximum

[tex]x=\dfrac{36-2y}{3}=\dfrac{36-2\times 9}{3}\\\Rightarrow x=6[/tex]

The sides of the entire garden are [tex]2y=2\times 9=18\ \text{m}[/tex] and [tex]6\ \text{m}[/tex]

The maximum area of the natural fertilizer garden is [tex]18\times 6=108\ \text{m}^2[/tex]

Answer:

94. E

95. A

96. F

97. B

98. H

99. D

Hope this helps :)

Answer:

3m 95cm

Step-by-step explanation:

its... simple math? i added 2 and 1; and 30 and 65?

Answer:

uh it's already simplest-

but ig you rounded to 6 decimal places

so it would be 0.053

Answer:

NONONO the answer is C

Step-by-step explanation:

Multiply -3 by -1 gives 3. 3 plus 15 IS equal to 18!

Answer:

The answer is C

Step-by-step explanation:

3x+15=18

if x = -1

-3 (-1) + 15 = 18

negative times negative makes positive so

3+15=18

Answer:

elaborate, this is vague

Step-by-step explanation:

Answer: the 2 on the right

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation: