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notsponge [240]
3 years ago
11

Simplify 4(u+5)-2u without any parentheses if you can, please.

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

Hey there!


 4(u + 5) - 2u

DISTRIBUTE 4 WITHIN the PARENTHESES 

= 4(u) + 4(5) - 2u

= 4u + 20 - 2u


COMBINE the LIKE TERMS 

= (4u - 2u) + (20)

= 4u - 2u + 20

 = 2u + 20 


Therefore, your answer is: 2u + 20


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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Identify the solution set of 3 In 4 = 2 In x.<br> -{6}<br> -{-8,8}<br> -(8)
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Option C: The solution set is \{8\}

Explanation:

The expression is 3 \ln 4=2 \ln x

Now, let us find the solution set.

Switch sides, we get,

2 \ln x=3 \ln 4

Dividing by 2 on both sides, we have,

\ln x=\frac{3 \ln 4}{2}

Thus,  \ln 4=\ln 2^2=2\ln 2

Hence, the above expression becomes,

\ln x=\frac{3 \cdot 2 \ln (2)}{2}

Simplifying, we get,

\ln x=3 \ln 2

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

x=8

Thus, the solution set is \{8\}

Hence, Option C is the correct answer.

5 0
4 years ago
If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards are diamonds
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4 0
3 years ago
A landscaper builds a regular hexagonal patio in a circular garden. The area not covered by the patio will be covered in grass.
Taya2010 [7]

The area that's covered by the grass will be 7.065m²

The area of a circle is found by using the formula: = πr²

where, r = radius = 1.5m

π = 3.14

Therefore, to solve the question, we'll slot the value of the radius into the formula and this will be:

Area = πr².

Area = 3.14 × 1.5²

Area = 3.14 × 1.5 × 1.5

Area = 7.065m²

In conclusion, the area is 7.065m²

Read related link on:

brainly.com/question/24705421

7 0
3 years ago
Factor completely x^4-17x^2+16​
Snowcat [4.5K]

Answer:

(x - 1) (x + 1) (x - 4) (x + 4)

Step-by-step explanation:

actor the following:

x^4 - 17 x^2 + 16

x^4 - 17 x^2 + 16 = (x^2)^2 - 17 x^2 + 16:

(x^2)^2 - 17 x^2 + 16

The factors of 16 that sum to -17 are -1 and -16. So, (x^2)^2 - 17 x^2 + 16 = (x^2 - 1) (x^2 - 16):

(x^2 - 1) (x^2 - 16)

x^2 - 16 = x^2 - 4^2:

(x^2 - 1) (x^2 - 4^2)

Factor the difference of two squares. x^2 - 4^2 = (x - 4) (x + 4):

(x - 4) (x + 4) (x^2 - 1)

x^2 - 1 = x^2 - 1^2:

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Factor the difference of two squares. x^2 - 1^2 = (x - 1) (x + 1):

Answer: (x - 1) (x + 1) (x - 4) (x + 4)

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3 years ago
Assume you have sea water that weighs 64 lb/ft³ and contains 35 parts per thousand (0.0035) dissolved salt by weight. How many c
zlopas [31]

Answer:

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Step-by-step explanation:

Let x is the amount of the sea water to collect 125 lb of sea salt

As given: 64 lb/ft³ has 0.0035 dissolved salt by weight

So the formula to find out the amount of the sea water is:

64 lb/ft³ * 0.0035 *x ft³  = 125 lb

<=> x = \frac{125}{64*0.035} = 558.036 lb

Hope it will find you well.

7 0
3 years ago
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