For 15 points!!!
If vectors i+j+2k, i+pj+5k and 5i+3j+4k are linearly dependent, the value of p is what?
Please I'm looking for the explanation. i already know the answer is 2, i just don't know how.​

I hope this helps you

false

cause two negative numbers multiple must be positive

(-1).(-49)

+49

The statement is false.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.

RULE 1: The product of a positive integer and a negative integer is negative.

RULE 2: The product of two positive integers is positive.

RULE 3: The product of two negative integers is positive.

Given:

−(−49) = −49

Is we use the properties of integer

(+).(+)= (+)

(-).(-)=(+)

(-).(+)=(-)

(+).(-)= (-)

So, the statement −(−49) = −49 is false because (-).(-)= (+)

Then, −(−49) = +49

Learn more about integers here:

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Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)[/tex]

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

[tex]4^n+17[/tex] is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so [tex]4^k+17[/tex] is divisible by 3

and we check what happens for k+1

[tex]4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17[/tex]

[tex]3\cdot 4^k[/tex] is divisible by 3 and

[tex]4^k+17[/tex] is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that [tex]4^n+17[/tex] is divisible by 3 for all positive integers n.

Thanks

Answer:

We conclude that the new technique reduces the training time that it takes less than 98 hours to receive an advanced flying license.

Step-by-step explanation:

We are given that using traditional methods it takes 98 hours to receive an advanced flying license. A researcher believes the new technique may reduce training time and decides to perform a hypothesis test.

After performing the test on 200 students, the researcher decides to reject the null hypothesis at a 0.01 level of significance.

Let [tex]\mu[/tex] = mean time to receive an advanced flying license.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 98 hours

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 98 hours

Here, the null hypothesis states that it takes 98 hours to receive an advanced flying license.

On the other hand, the alternate hypothesis states the new technique may reduce training time that it takes less than 98 hours to receive an advanced flying license.

Now, it is stated that after performing the test on 200 students, the researcher decides to reject the null hypothesis at a 0.01 level of significance. This means we don't have sufficient evidence to support the null hypothesis as our test statistics will fall in the rejection region.

Therefore, we conclude that the new technique reduces the training time that it takes less than 98 hours to receive an advanced flying license.

Answer:

Step-by-step explanation:

Answer:

190 = 13.78

290 =17.02

390 = 19.74

545 = 23.34

Step-by-step explanation:

if you need simplest ratical let me know

Answer: (a). 0.62 (b). 0.53

Step-by-step explanation:

Let us start by defining some events seen:

Given;

L rep the event that codes hidden Leia

BB represents the codes hidden in BB-8

H is the event that codes hidden by Hah

C-3PO rep the codes hidden in C3PO

Giving the probabilities, we have that

P(L)  =  probability that codes are hidden by Leia = 0.6

P(H) = probability that codes are hidden by Hah = 0.4

where P(BB/L) = 70/10 i.e 70%

P(C-3PO/L) = 1 - P(BB/L) = 1 - 7/10 = 3/10

Also, P(BB/H)  = 1/2 = P(C-3PO/H)

We can say that Han Solo is likely to hide them in aceta BB-8 and C-3PO

To begin,

(a). The question tell us to find the probability that the codes are with BB-8.

First of all, we find P(BB).

P(BB) = P(L)*P(BB/L) + P(H)*P(BB/H)

solving this we get

P(BB) = 0.6*7/10 + 0.4*1/2 = 0.62

Therefore,  the probability that the codes are with BB-8 = 0.62

(b). The second question says;

Given that the codes are with C-3PO, what is the probability the codes were hidden by Han Solo?

This tell us to find P(H/C-3PO)

P(H/C-3PO) = P(C-3PO/H)*P(H) / P(C-3PO/H) + P(C-3PO/L)*P(L)

inputting the values gives us;

P(H/C-3PO) = 1/2 * 0.4 / ( 1/2 *0.4 + 3/10 *0.6) = 0.53

SO we have that the probability the codes were hidden by Han Solo = 0.53

cheers I hope this was helpful!!

the corresponding amount in a 13% increase is: (59 * 13): 100 = $ 7.67

so the current stock price is: 59 + 7.67 = $ 66.67

Answer:

7/40

Step-by-step explanation:

Simplify the following:

-1/5 + 3/8

Hint: | Put the fractions in -1/5 + 3/8 over a common denominator.

Put -1/5 + 3/8 over the common denominator 40. -1/5 + 3/8 = (-8)/40 + (5×3)/40:

(-8)/40 + (5×3)/40

Hint: | Multiply 5 and 3 together.

5×3 = 15:

(-8)/40 + 15/40

Hint: | Subtract the fractions over a common denominator to a single fraction.

-8/40 + 15/40 = (-8 + 15)/40:

(-8 + 15)/40

Hint: | Subtract 8 from 15.

-8 + 15 = 7:

Answer:  7/40

Answer:

see below (I hope this helps!)

Step-by-step explanation:

41. √20 = √4 * 5 = √4 * √5 = 2√5

43. The sum of interior angles in a triangle is 180°, therefore, x = 180 - (75 + 64) = 41°.

45. 15 + 5(2x - 3) = 15 + 5(2x) + 5(-3) = 15 + 10x - 15 = 10x

47. Complementary angles have a sum of 90°, therefore, x = 90 - 48 = 42°.

Answer:

i dont what it is can u tell me

Step-by-step explanation:

The length side is not a integer. Therefore, The answer is irrational.

The area of a square is given by the formula

A = side x side

In this problem we have

A = 150 square feet.

Now, substitute in the formula

150 = side^2

Now, take the square root both sides

side = √150

Then simplify

side = 5√6 feet

Remember that; A Rational Number is a number that can be made by dividing two integers. soThe length side is not a integer

Therefore, The answer is irrational.

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Answer:

The answer is

Step-by-step explanation:

Send 5 to the right side of the equation

That's

Multiply both sides of the equation by 3

We have

x = 20 × 3

We have the final answer as

Hope this helps you

Step-by-step explanation:

Hey there!!

Let angle 2 be x then,

measure of angle 1 is three less than twice of angle 2 = 2x-3.

Now, we have.

Measure of supplementary angle is 180°.

Angle 1 + angle 2 = 180°

x+(2x - 3)= 180°

3x -3=180°

3x= 180°+3°

[tex]x = \frac{183}{3} [/tex]

Therefore, x = 61°.

Now, angle 2 = 61°

angle 1 = (61×2-3)= 119°.

check (119°+61°=180°).

Hope it helps...

Answer:

0.4

Step-by-step explanation:

The number of ways to select 3 points out of 5 points:

N1 = 5C3 =  (5 x 4 x 3)/(1 x 2 x3) = 10

The number of ways to select 3 points out of 4 points that are already collinear:

N2 = 4C3 = (4 x 3 x 2)/(1 x 2 x 3) = 4

=> The probability of selecting 3 points that are collinear:

P = N2/N1 = 4/10 = 0.4

Good day, Harry!

Answer:

y = 28

Step-by-step explanation:

Firstly, we will set y to be a constant. That is y= constant,j. The question directed us to "Find an equation of the plane that is parallel to the xz-plane and is located 28 units to the right of the xz-plane in standard perspective."

Recall that the value of y is equal to zero[0] for the xz plane. Therefore, as the question stated that the plane is located twenty-eight[28] units to the right, the required equation for the plane is equal to y = 28 which is the solution or answer to the problem.

Answer:

72

Step-by-step explanation:

120% × 60 =

(120 ÷ 100) × 60 =

(120 × 60) ÷ 100 =

7,200 ÷ 100 =

hopefully this helped

Answer:

The left over wood in foot is 2.34  foot

or 2 foot 4 inch

Step-by-step explanation:

This problem desires to test our unit conversion skills

Step one:  let us work with foot and convert inches to foot.

The total wood is 8 foot, and we are expected to subtract 5 foot 8 inches from it.

converting 8 inches to foot we have

1 inch -----0.0833333 foot

8 inch-----x foot

cross multiplying we have

x= 8*0.0833333

x= 0.66 foot

Hence the total number of wood to be subtracted in foot is 5.66 foot

i.e 8-5.66= 2.34  foot

The left over wood in foot is 2.34  foot

or 2 foot 4 inch

Step-by-step explanation:

and go outside take fresh air you breathe you get answers constrate answer

Answer:

17

Step-by-step explanation:

What we have to realize is that RS + ST = RT. Since we know the value of all, let's substitute inside the equation.

[tex]23 - 2x + 9x - 5 = 39[/tex]

Now let's try and solve for x by isolating the variable on one side.

Combine like terms:

[tex]7x + 18 = 39[/tex]

Subtract 18 from both sides:

[tex]7x = 21[/tex]

Divide both sides by 7:

[tex]x = 3[/tex]

Now that we know the value of x, we can substitute it back into the equation for RS, [tex]23-2x[/tex].

[tex]23-2(3)\\\\23-6\\17[/tex]

Hope this helped!

Complete questions:

A deposit of $200 is made in an account at the beginning of each month at an annual interest rate of 3% compounded monthly. The balance in the account after n months is An = 200(401)(1.0025^n - 1).(Round your answers to two decimal places.)

Answer:

Kindly check explanation

Step-by-step explanation:

Given the amount of balance in an account after. 'n' months using the eqation:

An = 200(401)(1.0025^n - 1)

(a) Compute the first six terms of the sequence {An}.

A1 = 200(401)(0.0025) = $200.50

A2 = 200(401)(1.0025^2 - 1) = $401.50

A3 = 200(401)(1.0025^3 - 1) = $603.00

A4 = 200(401)(1.0025^4 - 1) = $805.01

A5 = 200(401)(1.0025^5 - 1) = $1007.53

A6 = 200(401)(1.0025^6 - 1) = $10210.54

B) balance 5 years after n = 5 * 12 = 60

A60 = 200(401)(1.0025^60 - 1) = $12,961.67

C.) balance 15 years after ; n = 15 * 12 = 180

A180 = 200(401)(1.0025^180 - 1) = $45,508.02

Answer:

It depends on the measure of the angle you are talking about

Answer:

(a) Approximately 68 % of women in this group have platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7.

(b) Approximately 99.7% of women in this group have platelet counts between 71.3 and 443.9.

Step-by-step explanation:

We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 257.62 and a standard deviation of 62.1

Let X = the blood platelet counts of a group of women

So, X ~ Normal([tex]\mu=257.62, \sigma^{2} =62.1^{2}[/tex])

Now, the empirical rule states that;

(a) The approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 195.5 and 319.7 is 68% according to the empirical rule.

(b) The approximate percentage of women with platelet counts between 71.3 and 443.9 is given by;

       z-score of 443.9 =  [tex]\frac{X-\mu}{\sigma}[/tex]

                                   =  [tex]\frac{443.9-257.62}{62.1}[/tex]  = 3

       z-score of 71.3 =  [tex]\frac{X-\mu}{\sigma}[/tex]

                                =  [tex]\frac{71.3-257.62}{62.1}[/tex]  = -3

So, approximately 99.7% of women in this group have platelet counts between 71.3 and 443.9.

Answer:

78.7

Step-by-step explanation:

2 m = 78.7402

Rounded to nearest tenth-

78.7

Answer:

A histogram is a graph that organizes a group of data points. A histogram graphically summarize the distribution of a univariate data set.

Answer:

10; -3

Step-by-step explanation:

Let's represent the first number with x, and the second number with y.  Now let's write these two equations to find the numbers.

x + 2y = 4

2x + y = 17

We can solve using the substitution method:

x = 4 - 2y

2x + y = 17

2 (4 - 2y) + y = 17

8 - 4y + y = 17

-3y = 9

y = -3

Now plug the value of y in to find x:

x + 2y = 4

x + 2(-3) = 4

x + -6 = 4

x = 10

So, the first number is 10, and the second number is -3.

Cheers.

Answer:   B

Step-by-step explanation:

ax² + bx + c = 0 is rewritten as  x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²

A) 4x² + 9x + 5 = 0    -->    x² + (9/4)x + (9/8)² = -5/4 + (9/8)²

                                        = x² + (9/4)x + 81/64 = -5/4 + 81/64

B) 4x² + 12x + 7 = 0    -->    x² + (12/4)x + (12/8)² = -7/4 + (12/8)²

                                         = x² + 3x + 9/4 = -7/4 + 9/4             <---- this works!

C) 3x² - 6x - 4 = 0    -->    x² + (-6/3)x + (-6/6)² = 4/3 + (-6/6)²

                                         = x² - 2x + 1 = 4/3 + 1

D) 2x² - 8x - 9 = 0    -->    x² + (-8/2)x + (-8/4)² = 9/2 + (-8/4)²

                                         = x² - 4x + 4 = 9/2 + 4

Answer:

B

Step-by-step explanation:

its the correct answer :)

Answer:

Step-by-step explanation: you want to divide the price of eatch to the pacets???

The answers are:

18 to 24 =  [tex]\frac{18}{24} = \frac{3}{4}[/tex]

5 to 15 =  [tex]\frac{5}{15} = \frac{1}{3}[/tex]

14:42 =  [tex]\frac{14}{42} = \frac{1}{3}[/tex]

15 cents to 18 cents = [tex]\frac{15}{18} = \frac{5}{6}[/tex]

Explanation:

To write a fraction using a ratio, simply use the first number as the numerator (top number), in this case, the numbers 18, 5, 14, and 15, and the second or biggest number as a denominator (bottom number), in this case, the numbers 24, 15, 42 and 18. This means the fractions are  [tex]\frac{18}{24}[/tex],  [tex]\frac{5}{15}[/tex], [tex]\frac{14}{42}[/tex] , and  [tex]\frac{15}{18}[/tex].

The second step is to reduce or simplify the fractions, which means the numbers in a fraction are divided by the same factor (a number that divides another without a remainder). Additionally, to do this, it is important to reduce the fraction to its minimum.

[tex]\frac{18}{24}[/tex] divide this by 6, which is equivalent to [tex]\frac{3}{4}[/tex]

[tex]\frac{5}{15}[/tex] divide this by 5, which is equivalent to [tex]\frac{1}{3}[/tex]

[tex]\frac{14}{42}[/tex] divide this by 14. which is equivalent to [tex]\frac{1}{3}[/tex]

[tex]\frac{15}{18}[/tex] divide this by 3, which is equivalent to [tex]\frac{5}{6}[/tex]

Answer:

Step-by-step explanation:

[tex] \sf{7h + 2 + 4}[/tex]

Add the numbers

⇒[tex] \sf{7h + 6}[/tex]

Hope I helped!

Best regards!

Answer:

7h+6

Step-by-step explanation:

We are given the expression:

7h + 2 + 4

and asked to simplify.

In order to simplify an expression, we must combine like terms. In this expression, we have 2 constants, or terms without variables. The 2 constants and 2 and 4. Add 2 and 4.

7h + (2+4)

7h+6

There are no more like terms, so this expression is simplified.

The expression 7h+2+4 simplified is 7h +6

Answer:

P=6x+8

A=2x^2+11x-21

Step-by-step explanation:

Perimeter:

P=2(x+7)+2(2x-3)

P=6x+8

Area:

A=(x+7)(2x-3)

A=2x^2+11x-21