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aleksandrvk [35]
1 year ago
13

Express 4/5 as a decimal using long division

Mathematics
1 answer:
Hoochie [10]1 year ago
5 0

Here, we want to express the given fraction as a decimal by the use of long division

We start by writing the long division sign

We place 5 on the left hand side outside and place 4 inside the long division sign

Now, as we know, 4 cannot divide 5 wholly as it is less than 5

We simply add a 0 at the top of the long division symbol, with a decimal point after it.

Concurrently, we place a zero after 4

Hence we have 40 inside the long division

Then we can divide 40 by 5 to get 8

The 8 now comes after the decimal point

Hence, our answer is 0.8

Pictorally, we can have the representation as follows;

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If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?
Vlad1618 [11]
<h3>Answer:  29</h3>

=================================

Work Shown:

Solve the second equation for f(b)

2f(b) = 28

f(b) = 28/2

f(b) = 14

----------

Plug in x = b and solve for b

f(x) = 3x-1

f(b) = 3b-1 ... replace every x with b

14 = 3b-1 ..... plug in f(b) = 14

3b-1 = 14

3b = 14+1

3b = 15

b = 15/3

b = 5

-----------

f(x) = 3x-1

f(2b) = 3(2b)-1 .... replace every x with 2b

f(2b) = 3(2*5)-1 .... plug in b = 5

f(2b) = 3*10-1

f(2b) = 30-1

f(2b) = 29

3 0
3 years ago
Please someone help <br><br> Which expression has a value of 48?
LiRa [457]
What are the options?
4 0
4 years ago
1. What is the sum of the two vectors (-1,-4) and (3,5)?
mash [69]

What is the sum of the two vectors (-1,-4) and (3,5)

to find the sum we add x component with x and y with y

So

(-1+3) , ( -4+5) = (2,1)

Hence option B is the correct option


2. Evaluate the following expression: -1(5,-1) + 2(1,1)

-1(5,-1) + 2(1,1) = (-5 , 1) + (2,2)

= ( -3 , 3)

Second option is the correct


3. Evaluate the following expression (1,4) -5(1,1)

(1,4) -5(1,1)

= (1,4) (-5,-5)

= (1-5 , 4-5)

= (-4,-1)


4. Let v=(8,-4) and w=(-4,2). Which of the following is true?

as we can see

(8,-4) = -2(-4,2)

v= -2w

and also the Y component of w is 2


5. Which of the following vectors are orthogonal to (-1,3)?

The orthogonal vector will be (3,1) as the dot product is zero

(-1,3).(3,1) = (-3+3) = 0

Hence Option third is the correct one

8 0
4 years ago
A car is accelerating at a rate of 35 m/s2 and has a resulting velocity increase from 17 m/s to 26 m/s. How long did it take to
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Answer:

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4 0
3 years ago
An ecological group suspects tuna are consuming dangerous levels of copper in a region of the world. Dangerous levels of copper
Mademuasel [1]

Answer:

Step-by-step explanation:

A) From the stem-leaf plot, we see that out of 21 tunas, 5 have dangerous levels of copper since the levels go beyond 5.7 parts per million. The required proportion is 5/21=0.2381

B) Given the sample mean is {x}=4.77, sample standard deviation s=1.16 and the sample size is n=21.

Since the population standard deviation is not known, we use t-distribution.

So the 98% CI for mean is

4.77 ± t{1-0.02 /2,20} x 1.16/sqrt(21) = (4.13, 5.41)}

We are sure with 98% confidence the true copper level (in parts per million) lies in the interval (4.13, 5.41)

8 0
3 years ago
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