**Find the component form of the resultant vector.**

Answer:

Step-by-step explanation:

answer:

48p² + 4p - 4

solution:

8p × 6p +8p × 2 - 2 × 6p - 2 × 2

48p² + 8p x 2 - 2 ×6p - 2 × 2

48p² + 16p - 12p - 4

48p² + 4p - 4

The required algebraic product is 48[tex]p^{2}[/tex] + 4p - 4.

Given the two binomial (8p - 2)(6p + 2).

To multiply two binomials, take the first term of the first binomial and multiply with the entire second binomial and positive or negative as per given in the first binomial ,take the second term of the first binomial and multiply with the entire second binomial.

Let a, b, c and d be any four variables. Consider (a - b)(c + d) gives

a(c + d) - (c + d).

That implies, (8p - 2)(6p + 2) = 8p(6p + 2) - 2(6p + 2)

Multiply by removing the brackets gives,

(8p - 2)(6p + 2) = 48[tex]p^{2}[/tex] + 16p - 12p - 4

Combining like terms and algebraic sum gives,

(8p - 2)(6p + 2) = 48[tex]p^{2}[/tex] + 4p - 4.

Hence, the required algebraic product is 48[tex]p^{2}[/tex] + 4p - 4.

Learn more about binomials, click here:

https://brainly.com/question/29164885

#SPJ6

I guess you have to find

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}[/tex]

given that [tex]\tan\theta=\frac8{15}[/tex].

We can immediately solve for [tex]\sec\theta[/tex]:

[tex]\sec^2\theta=1+\tan^2\theta\implies\sec\theta=\pm\dfrac{17}{15}[/tex]

(without knowing anything else about [tex]\theta[/tex], we cannot determine the sign)

Then we get [tex]\cos\theta[/tex] for free:

[tex]\cos\theta=\dfrac1{\sec\theta}=\pm\dfrac{15}{17}[/tex]

and we can now solve for [tex]\sin\theta[/tex]:

[tex]\sin^2\theta+\cos^2\theta=1\implies \sin\theta=\pm\dfrac8{17}[/tex]

Notice that we have 2*2 = 4 possible choices of sign for either sin or cos.

• If both are positive, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{90}[/tex]

• If both are negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{391}{480}[/tex]

• If sin is positive and cos is negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{480}[/tex]

• If cos is positive and sin is negative, then

[tex]\dfrac{\sin\theta+\cos\theta}{\cos\theta(1-\cos\theta)}=\dfrac{119}{30}[/tex]

Answer:

the coordinates of b is (9,7)  

the coordinates of a is (-4,-6)

Step-by-step explanation:

Answer:

-2x+3

Step-by-step explanation:

Using y=mx+b

To make the line perpendicular, you just need to make the slope (m=2) negative. To make it go through (-1, 5), you just need to adjust the b value to raise the graph to a point where it will pass through the point.

Answer:

We will use the thales's theorem to solve for x

Let ? be x

then, the other segment on the same line as x will be 20 - x since the line is 20 units long

According to thales's theorem:

"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio"

Hence, we can write that,

9 / 3 = 20-x / x

3x = 20 -  x

4x = 20

x = 5 units

Hence, the length of the line segment marked as '?' is 5 units

Answer:

y=2

y=0

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    7*y-1-(3*y^2+y-1)=0

(7y - 1) -  ((3y2 +  y) -  1)  = 0  3.1     Pull out like factors :

  6y - 3y2  =   -3y • (y - 2)

Answer:

y = -21/2

Step-by-step explanation:

multiply both sides of the equation by 21 so it would be

7y+42=3y

move the terms

7y-3y=-42

collect like terms

4y=-42

divide both sides by four

y= -21/2

Answer:

40?

Step-by-step explanation:

it literally tells you?

Answer:

90 because 65 plus 25 is 90.

Step-by-step explanation:

65 plus 25 is 90 and

Answer: The percent markup for a shell necklace = 200%

Step-by-step explanation:

Given: Cost price per necklace = $3.75

Selling price per necklace =  $11.25

Mark up = (Selling price -  Cost price )

= $ (11.25 -3.75 )

=$ 7.5

The percent markup for a shell necklace = [tex]\dfrac{\text{Mark up}}{\text{cost price}}\times100\%[/tex]

[tex]=\dfrac{7.5}{3.75}\times100\%\\\\=2\times100\%=200\%[/tex]

Hence, The percent markup for a shell necklace = 200%

The percent markup for a shell necklace is 200%.

Markup can be defined as the rate at which the cost of a product is increased. The higher the markup, the higher the profit earned by a seller all things being equal.

Percentage markup = (profit / cost price) x 100

Profit = $11.25 - $3.75 = $7.50

Percentage markup = ($7.50 / $3.75) x 100 = 200%

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

death valley<tallahassee | Death valley<westmooreland

Step-by-step explanation:

sorry if this is wrong i dont understand

Answer:

death valley<talahasse.

the negative value of death valley is less than talahasse.

Step-by-step explanation:

a negative number is way lower than a positive number.

She can make 2 goodie bags.

13 lollipops

17 tootsie rolls

The GCF (greatest common factor) of 26 and 14 is 2; therefore making the greatest number of goodie bags she can make is 2.

If you divide both the numbers (26,14) by 2, you get 13 and 17.

Please mark branliest if this helped

Answer: X=6

you would do 30 - 12 witch equals 18

than you would do 18 divided by 3 witch is 6 so it is x = 6

Answer:

i need a picture

Step-by-step explanation:

Answer: not mutually exclusive

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

The answer is option A "A number less than 2." That is because we check off each of the following given options. It won't be option C because they're 4 odd numbers a equal amount of multiplies of two (option D) which means they both have a equal (4 out of 8) chance. It won't be option B because they're 7 out of 8 numbers that are greater then on which means you have a greater chance of getting a number greater then one but the question is asking for the most unlikely.....therefore the answer is option A because you have a 1 out of 8 chance of getting a number less then two.

Hope this helps.

that is a rational number.

Answer:

62.5

Step-by-step explanation:

There ya gooo :)

Answer:

62.5%

Here You go

Step-by-step explanation:

Answer:

y=0x-1

Step-by-step explanation:

Slope-int form: y=mx+b

Both points have the same y value and different x values, so the slope (m) is 0.

Since the y-intercept is (0, -1), b=-1

Answer:

The answer is -11/6

Step-by-step explanation:

Answer:

7 <  3N+1 < 11

6 < 3n < 10

2 < n < 10/3

Step-by-step explanation:

The required number is -3, -2, -1, 0, and 1 which is three times a number, increased by one, is between negative eleven and seven.

Given that,
Three times a number, increased by one, is between negative eleven and seven. the number is to be determined.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
Accoding to the condition let the number be x,
and
-11 < 3x + 1 < 7
-12 < 3x < 6
-4 < x < 2
So the number are -3, -2, -1, 0, anb 1

Thus, the required number is -3, -2, -1, 0, and 1 which is three times a number, increased by one, is between negative eleven and seven.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1

Answer:

Step-by-step explanation:

5,2

Answer:

0, 5, 18, 22, 100

Step-by-step explanation:

Order the integers from least to greatest which means that the smallest number to the biggest number. Since the biggest number is 100 it goes at the end and 0 is the smallest number so it goes at the end. After that, all you have to do is find which numbers are bigger and smaller. So, the numbers should go in this order 0, 5, 18, 22, 100.

Hope This Helps :)

Answer:

The 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).

Step-by-step explanation:

The net change in 7 students' scores on the exam after completing the course are:

S = {37 ,12 ,12 ,17 ,13 ,32 ,23}

Compute the sample mean and sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{7}\times 146=20.857\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}}=\sqrt{\frac{1}{7}\times 622.8571}=10.189[/tex]

As the population standard deviation is not known, a t-interval will be formed.

Compute the critical value of t for 80% confidence interval and 6 degrees of freedom as follows:

[tex]t_{\alpha/2, (n-1)}=t_{0.20/2, (7-1)}=t_{0.10,6}=1.415[/tex]

*Use a t-table.

Compute the 80% confidence interval for the average net change in a student's score after completing the course as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times\frac{s}{\sqrt{n}}[/tex]

     [tex]=20.857\pm 1.415\times\frac{10.189}{\sqrt{7}}\\\\ =20.857\pm 5.4493\\\\=(15.4077, 26.3063)\\\\\approx (15.4,26.3)[/tex]

Thus, the 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).

Answer:  Think about diagonal sides and horizontal bases.

Step-by-step explanation:  "Think outside of the box." as they say.

See the screenshot attached.