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Alexandra [31]
4 years ago
15

If a = 5i - 6j and b = -2i + 4j , find -3a + 2b

Mathematics
1 answer:
gavmur [86]4 years ago
3 0

Answer:

-19i + 26j

Step-by-step explanation:

-3 (5i - 6j) + 2 (-2i + 4j)

Distribute/multiply the -3 to everything in the parentheses

-15i + 18j + 2 (-2i + 4j)

Distribute/multiply the 2 to everything in the parentheses

-15i + 18j -4i + 8j

Combine like terms

-19i +26j

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between 2008 and 2009 American spent 8.48 x 10 to the 8th power on baby food during the same period American spent 4.52 x 10 to
Aleks [24]

Answer: They spend 5.368 × 10⁹ all together on ice cream and baby food between 2008 and 2009.

Step-by-step explanation:

Since we have given that

Amount spent on baby food between 2008 and 2009 = 8.48\times 10^8

Amount spent on ice cream between 2008 and 2009 = 4.52\times 10^9

We need to find the total amount spend all together on ice cream and baby food.

Total amount would be

8.48\times 10^8+4.52\times 10^9\\\\=5.368\times 10^9

Hence, they spend 5.368 × 10⁹ all together on ice cream and baby food between 2008 and 2009.

7 0
3 years ago
Bentley spun a spinner with 4 equal sections labeled 1–4. The spinner landed on 1 three times, on 2 four times, on 3 six times,
OverLord2011 [107]

Answer:

2

Step-by-step explanation:

Experimental probability : (Number of times event occur / total number of trials)

Total Number of trials = (3 + 4 + 6 + 3) = 16

Experimental probability :

For 1: P(1) :

3/16

For 2 : P(2) :

4/16 = 1/4

For 3: P(3)

6 /16 = 3/8

For 4 : P(4)

3 / 16

Theoretical probability :

The Theoretical probability of 1, 2, 3 and 4 are the same ;

Theoretical probability =

(Required outcome / Total possible outcomes)

For each of 1 - 4

Theoretical probability = 1 /4

Experimental probability of P(2) = 1/ 4 and is Hence, the same as the Theoretical probability

4 0
3 years ago
Elijah wants to know the cross-sectional area of the circular pipe. He measures the diameter which he finds, to the nearest mill
Tanya [424]

Answer:

The area is 0.002m² to 3 dp

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes(I.e cross sectional area of pipe ) , this time the a circle.

It requires us to look for the area of the shape

Given data

Diameter d = 5cm

Converting to mm = 5/100= 0.05m

Radius of circle r=d/2=0.05/2 =0.025mm

Given the area of the circle

A=πr²

A=3.14*0.025²

A=0.0019m²

To 3 dp we have area as 0.002m²

3 0
3 years ago
for employees of Papa Tony's pizza or cleaning up at the end of a busy night. There is a list of 43 complete a task that need to
nydimaria [60]
The answer is 10r3

Hope this helps
3 0
4 years ago
A recipe calls for 12 cups of blueberries to make 7 jars of blueberry jam. What is true about the number of cups of blueberries
podryga [215]
The twelve cups have to be divided evenly between the seven jars 
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3 years ago
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