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frozen [14]
2 years ago
10

Solve for x ln(3x+2)=4

Mathematics
2 answers:
Rasek [7]2 years ago
5 0

Answer:

x = (e^4 -2)/3

x≈17.533

Step-by-step explanation:

ln(3x+2)=4

raise each side to e

e^ ln(3x+2) = e^4

3x+2 = e^4

subtract 2 from each side

3x = e^4 -2

divide by 3

x = (e^4 -2)/3

putting this in a calculator

x≈17.533

Bond [772]2 years ago
3 0

Answer:

3x +2 =4

=) 3x = 4-2

=)3x =2

=)x =2/3

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What is the area, in square units, of trapezoid ABCD shown below?
SOVA2 [1]

Given:

Trapezoid with bases 10 and 20, and height of the trapezoid is 6.

To find:

The area of the trapezoid.

Solution:

We know that the area of a trapezoid is:

A=\dfrac{1}{2}h(b_1+b_2)

Where, h is the height of the trapezoid and b_1,b_2 are bases of the trapezoid.

Putting h=6, b_1=10,b_2=20 in the above formula, we get

A=\dfrac{1}{2}(6)(10+20)

A=3(30)

A=90

The area of the trapezoid is 90 sq units. Therefore, the correct option is A.

7 0
2 years ago
12.4. Measure of Dispersion<br>2076 Q.No. 15 Find the standard deviation of: 4, 6, 8, 10, 12.​
Alenkinab [10]

Answer:

Standard deviation of given data = 3.16227

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given sample size 'n' = 5

Given data  4, 6,8,10,12

Mean = \frac{4+6+8+10+12}{5} = 8

Mean of the sample x⁻ = 8

Standard deviation of the sample

                  S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}

<u><em>Step(ii)</em></u>:-

Given data

x          :         4      6       8       10      12

x-x⁻      :      4 - 8   6-8   8-8    10-8    12-8

(x-x⁻)   :        -4      -2     0          2        4

(x-x⁻)²  :        16     4       0         4        16  

 

  S.D = \sqrt{\frac{Sum(x-x^{-} )^{2} }{n-1}}

  S.D = \sqrt{\frac{16+4+0+4+16}{4}}

 S.D = √10 = 3.16227

<u><em> Final answer</em></u>:-

The standard deviation = 3.16227

8 0
2 years ago
Please help i put max points for u!!
jek_recluse [69]

Answer:

Equation: y = \frac{7}{4} x

21/2 cups of water

Step-by-step explanation:

Plug in 7 as y and 4 as x

7 = 4k

Find k

k = 7/4

Then plug k into th equation

y = 7/4 x

For the second part of the question:

Plug in x which is 6 into the bolded equation.

y = (7/4)(6) = 42/4 = 21/2 (simplified form)

21/2 cups of water

5 0
2 years ago
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Antwon makes hot chocolate by mixing 2 cups of milk with 5 tablespoons of cocoa.
Yuki888 [10]

Answer:

2.5 tablespoons of cocoa

Step-by-step explanation:

if 2 cups of milk is originally used then you use 1 well 2 divided by 2 equals 1 and 5 divided by 2 equals 2.5 so you would use 2.5 tablespoons of cocoa

6 0
3 years ago
Read 2 more answers
if the probability of getting a 6 on a biased dice is 4/5, and you roll it 500 times, how many 6s would you expect to roll
Tresset [83]
I believe the answer would be 400 you take 4/5 and multiply it by 500
3 0
2 years ago
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