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horsena [70]
3 years ago
8

Solve for the vector x + 2a - b in terms of the vectors a and b. (If needed, use BOLD vector form on calcPad Vector menu.) x + 2

a - b = 5(x + a) - 2(3a - b) x =
Mathematics
1 answer:
nikdorinn [45]3 years ago
5 0

Answer:

x+2a-b=5x+5a-2*3a+2*b

x+2a-b=5x+5a-6a+2b

x+2a-b=5x-a+2b

5x-x=2a-b+a-2b

4x=3a-3b

4 x=3(a-b)

x=3/4(a-b)

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I need this ASAP plz
Sidana [21]

Answer:

5% compounded quarterly equals (1.0125)^4 -1=0.0509453369140625 or 5.09453369140625 % APR

250*(1.0125)^20=$320.51 at the end of 5 years

Step-by-step explanation:

7 0
3 years ago
27)
laila [671]
The answer is B.

You need to subtract 15% each year from the value of the car.
4 0
4 years ago
Social media is popular around the world. Statista provides estimate of the number of social media users in various countries in
amm1812

Answer:

Kindly check explanation

Step-by-step explanation:

The data table :

Use of SM _UK _China _ Russia _US _ col total

Yes ______480 __215 ___343 __640 _ 1678

No _______320 _ 285 ___357__ 360 _ 1322

Row Total__ 800 _500 __ 700_ 1000_ 3000

H0 : p1 = p2 = p3 = p4

H1 : p1 ≠ p2 ≠ p3 ≠ p4

Test statistic :

χ² = Σ(observed - Expected)² / Expected

Expected value of each cell = (Row total * column total) / N

N = grand total

Expected Values:

447.467 _279.667 _ 391.533 _ 559.333

352.533 _ 220.333 _ 308.467 _ 440.667

χ²=(2.36536+14.9527+6.01605+11.6337+3.00232 18.9793+7.63611+14.7665) = 79.352

Degree of freedom, df = (row-1)*(column-1) = (2 - 1) * (4 - 1) = 1 * 3 = 3

Using the Pvalue from Chisquare calculator :

Pvalue(79.352, 3) = 0.00000000001

Decision region :

Reject H0 ; If Pvalue < α

α = 0.05

Since 0.000000001 < 0.05 ; Reject H0 and conclude that not all population proportion are equal.

Sample proportion :

Phat = number of yes, x / total

For UK, Phat = 480/800 = 0.6

For China , Phat = 215/500 = 0.43

For Russia , Phat = 343/700 = 0.49

For US, Phat = 640/1000 = 0.64

7 0
3 years ago
A particle moves along the curve below. y = √ 3 + x 3 y=3+x3 As it reaches the point ( 1 , 2 ) (1,2), the y y-coordinate is incr
nydimaria [60]

Answer:

The x-coordinate of the point changing at ¼cm/s

Step-by-step explanation:

Given

y = √(3 + x³)

Point (1,2)

Increment Rate = dy/dt = 3cm/s

To calculate how fast is the x-coordinate of the point changing at that instant?

First, we calculate dy/dx

if y = √(3 + x³)

dy/dx = 3x²/(2√(3 + x³))

At (x,y) = (1,2)

dy/dx = 3(1)²/(2√(3 + 1³))

dy/dx = 3/2√4

dy/dx = 3/(2*2)

dy/dx = ¾

Then we calculate dx/dt

dx/dt = dy/dt ÷ dy/dx

Where dy/dx = ¾ and dy/dt = 3

dx/dt = ¾ ÷ 3

dx/dt = ¾ * ⅓

dx/dt = ¼cm/s

The x-coordinate of the point changing at ¼cm/s

7 0
3 years ago
Bailey sold pumpkin pies for two days. on Monday, she sold 13 pies and on Tuesday she sold 23 pies. If she used 3/4 cup of pumpk
MArishka [77]

Answer:

27

Step-by-step explanation:

13 + 23 = 36 x 3/4 = 27

8 0
3 years ago
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