A recipe for fruit salad includes 1/3cup of grapes for 4 servings.How many cups of grapes are needed for 30servings of this fruit salad?

The scalar triple product is 0.

If v = 4i - j and w = 6i + 7j - 4k, then their cross product is

v × w = (4i - j) × (6i + 7j - 4k)

v × w = 24 (i × i) + 28 (i × j) - 16 (i × k) - 6 (j × i) - 7 (j × j) + 4 (j × k)

v × w = 28k - 16 (-j) - 6 (-k) + 4i

v × w = 4i + 16j + 34k

and

u • (v × w) = (i + 4j - 2k) • (4i + 16j + 34k)

u • (v × w) = 4 + 64 - 68

u • (v × w) = 0

Yes, they are coplanar.

The vectors v and w together span a plane. v × w is a vector that is perpendicular to this plane. Since the dot product of u with this vector is 0, this means u is perpendicular to v × w, which in turn means that u is in the same plane as v and w.

Answer:

-1/21

Step-by-step explanation:

Look for key words, difference means minus.

So 2/3-5/7. make the denominators the same, so 14/21-15/21

14-15 is -1 so -1/21 Hopefully this will help you!

Step-by-step explanation:

hdhebrvd0jdjbrvrbdjxjdndbxbdje I veebjdxhyxhdnebeve

Answer:

The Slope-Intercept form of the equation of a line is: y=mx + b

where m=slope (often called 'rise over run')

b = y-intercept (the point on the y-axis when x=0)

Answer:

9×(×+2)

Step-by-step explanation:

i think its ur choice if ur gonna copy the answer

9514 1404 393

Answer:

  ±1, ±2, ±7, ±14

Step-by-step explanation:

The rational root theorem tells you any rational roots will be of the form ...

  ±(divisor of the constant)/(divisor of the leading coefficient)

For this function, that means rational roots will be of the form ...

  ±(divisor of 14)

Those divisors are 1, 2, 7, 14. Possible rational roots are ...

  ±1, ±2, ±7, ±14

_____

Additional comment

The graph shows this function has 3 irrational roots.

Answer:

56

Step-by-step explanation:

1. We can use the exterior angle theorem to find the value of y. The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two remote sides. This means that (y - 25) + (y + 12) = y + 43

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 2y from both sides.

Step 3: Subtract 43 from both sides.

Step 4: Divide both sides by -1.

Step 5: Check if solution is correct.

Therefore, y = 56.

Answer:

The last one.

Step-by-step explanation:

Just do the things inside the ()'s first. Then work your way out. Hope this helped!

Rigid Motion

Step-by-step explanation:

...........

Answer:

letter c.collinearity po sagot diyan

Answer: 15

Step-by-step explanation:

4 multiplied by x (x= number of cards Ramon has) = 60 cards total

4x=60

4/60=15

x=15

PLS MARK BRANLIEST

Answer:

1.  Cheque and Debit card

2. Saving account and Chequing account

3. Routine transaction and Transaction register

4. NSF cheque

5. Overdraft protection

6. Financial situation

Step-by-step explanation:

Answer:

$26.91

Step-by-step explanation:

Multiply $2.99 with 9.

Reason is that its $2.99 a gallon for gas and you need 9 gallons to fill up your vehicle

That equals $26.91.

Answer:

$26.91

Step-by-step explanation:

Since 1 gallon costs $2.99, multiply 2.99 by 9.

2.99 x 9

= $26.91

It will cost you $26.91 to fill up your tank that holds 9 gallons.

Answer:

both same as in the diffecnce of the number of addition

Step-by-step explanation:

Answer:

= 14/1

= 14

Step-by-step explanation:

Answer:

a:tan0= 12/5

c: sin0=12/13

Step-by-step explanation:

cosec t(heta) = 13/12

1/sin t = 13/12

sin t = 12/13

cos t = √ (1 - (12/13)² ) = √ ( 1 - 144/169 ) = √25/169

cos t = 5/13

tan t = sin t/ cos t = (12/13) / (5/13) = 12/5

sec t = 1 / cos t = 13/5

Answer: A ) and C )  are correct:

tan theta = 12/5 and sin theta = 12/13

The change in the value of x, as a percentage, is given by:

[tex]\frac{b - a}{a} \times 100\%[/tex]

The percentage change is given by the change multiplied by 100% and divided by the initial value.

In this question, x varies from [tex]x = a[/tex] to [tex]x = b[/tex], which means that the initial value is a, and the change is b - a. Then, the percentage chance in the value of x is given by:

[tex]\frac{b - a}{a} \times 100\%[/tex]

A similar problem is given at https://brainly.com/question/24729807

Answer:

Step-by-step explanation:

i. b is how many times as large as a?

b/a

ii. Therefore, b is what percent of a?

b/a*100

iii. Hence, if x varies from x=a to x = b, x changes by what percent?

(100b)/a-100

Answer:

1.)no

2.)yes

3.)yes

4.)no

5.)yes

6.)no

7.)yes

8.)yes

9.)no

10.)no

11.)yes

12.)yes

13.)yes

14.)no

15.)no

16.)yes

17.)no

18.)yes

19.)no

20.)no

21.)yes

22.)yes

23.)yes

24.)yes

Step-by-step explanation:

i hope that helps..

Answer:

24

Step-by-step explanation:

because 18-4=12 and if 12 is the half of the # the number has to be 24

12(2)=24

Answer:

Uwu

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

the equation of a line is y-y1=m(x-x1) where x1 and y1 are points on a line

so when you compare the two equations, you get C

Answer:

it is 1024 terabytes or 1 million gigabytes. It is 2 to the 50th power. 3 to the 11th power for this example. 179622.425146 or 3*10^15

pls mark brainliest

Answer:

Solution: (3,5)

Step-by-step explanation:

y = x + 2 and

y = - x + 8

y = y

x + 2 = -x + 8

x + x = 8 - 2

2x = 6

x = 6/2

x = 3

Substitute x for 3 in one of the equations to find y.

y = 3 + 2

y = 5

9514 1404 393

Answer:

  0.927184

Step-by-step explanation:

Assuming you want cos(338°), it is equal to cos(22°). This value is an irrational root of a 26th-degree polynomial. (Neither the polynomial, nor the root are easy to find by hand.)

The values of trig functions for 30° and 45° are well-known, as are half-angle and angle sum/difference formulas. The nearest angle for which cosine is relatively easy to find is 22.5°. A 2nd-order Maclaurin series expansion of the cosine function about that angle gives the approximation ...

  cos(x) ≈ cos(π/8)(1 -π²/128) +π/8·sin(π/8) +(π/8·cos(π/8) -sin(π/8))x -1/2·cos(π/8)x²

For your angle of 22°, the value of x needed in this expression is 11π/90. The values of cos(π/8) and sin(π/8) are the irrational numbers ...

  cos(π/8) = √(2 +√2)/2 ≈ 0.92387953

  sin(π/8) = √(2 -√2)/2 ≈ 0.38268343

If you use the approximation pi ≈ 355/113, both for the above formula and for the angle of interest, this reduces to the sum ...

  cos(22°) ≈ 71√(2-√2)/16272 +132383951√(2+√2)/264777984

This would be tedious to calculate by hand, but is not impossible. The value this sum produces will be correct when rounded to 7 decimal digits.

__

Before calculators, trig function values were found in published tables. These days, tables are available on-line. Previously, they were published in books, usually along with information that helped with interpolation between table values, when necessary. The attachment shows a portion of an online cosine table suitable for answering your question.

_____

Additional comment

Before calculators, mathematicians spent lifetimes calculating accurate trig tables. For all but a very few angles, the cosine function of rational degree values will be an irrational number, as it is for cos(22°).

Answer:

answer below

Step-by-step explanation:

y = 968(1 + 0.04)^t. This is before adding it

y = 968(1.04)^26. This is after adding it and including the years for t = time.

I hope this helps, sorry if it doesn't

Answer:

a) 200-20-30+40

Step-by-step explanation:

represents the changes in the value of Michael's account is d) 200 + 20 - 30 + 40.

Step-by-step explanation:

Known :

Asked :

Which of the following represents the changes in the value of Michael's account?

Answered :

$200 + $20 - $30

= 200 + 20 - 30 + 40.

Step-by-step explanation:

In 2020, 62.6 million people were enrolled in the Medicare program, which equates to 18.4 percent of all people in the United States. Around 54 million of them were beneficiaries for reasons of age, while the rest were beneficiaries due to various disabilities.