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scoray [572]
3 years ago
11

Expand and simplify 5(2a – c) + 4(3a + 2c)

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
7 0
Uhhhhhhhhhhhhhhhhhhhuhhhhhhhhhhhhhh

klio [65]3 years ago
3 0

Answer:

22a+3c

Step-by-step explanation:

Answer:

22a + 3c

Step-by-step explanation:

Let's simplify step-by-step.

5(2a−c)+4(3a+2c)

Distribute:

=(5)(2a)+(5)(−c)+(4)(3a)+(4)(2c)

=10a+−5c+12a+8c

Combine Like Terms:

=10a+−5c+12a+8c

=(10a+12a)+(−5c+8c)

=22a+3c

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The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotation
Alona [7]

Answer:

h = 10sin(π15t)+35

Step-by-step explanation:

The height of the blade as a function f time can be written in the following way:

h = Asin(xt) + B, where:

B represets the initial height of the blade above the ground.

A represents the amplitud of length of the blade.

x represents the period.

The initial height is 35 ft, therefore, B = 35ft.

The amplotud of lenth of the blade is 10ft, therefore A = 10.

The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π

Finally the equation that can be used to model h is:

h = 10sin(π15t)+35

5 0
3 years ago
Read 2 more answers
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, adjacent, or
hram777 [196]

Answer:

Adjacent

Step-by-step explanation:

Adjacent angles are angles that are side-by-side.

4 0
3 years ago
Read 2 more answers
What is x in 3.6x=1.6x+24
Ipatiy [6.2K]

Answer:

x=12

Step-by-step explanation:

3.6x=1.6x+24

We simplify the equation to the form, which is simple to understand

3.6x=1.6x+24

We move all terms containing x to the left and all other terms to the right.

+3.6x-1.6x=+24

We simplify left and right side of the equation.

+2x=+24

We divide both sides of the equation by 2 to get x.

x=12

7 0
3 years ago
A plastics manufacturer has developed a new type of plastic trash can and proposes to sell them with an unconditional 6-year war
gtnhenbr [62]

Answer:

since -3.73 is less than 1.645, we reject H₀.    

Therefore this indicate that the proposed warranty should be modified

Step-by-step explanation:

Given that the data in the question;

p" = 13/20 = 0.65

Now  the test hypothesis;

H₀ : p = 0.9

Hₐ : p < 0.9

Now lets determine the test statistic;

Z = (p" - p ) / √[p×(1-p)/n]

= (0.65 - 0.9) /√[0.9 × (1 - 0.9) / 20]  

= -0.25 / √[0.9 × 0.1 / 20 ]

= -0.25 / √0.0045

= -0.25 / 0.067

= - 3.73

Now given that a = 0.05,

the critical value is Z(0.05) = 1.645 (form standard normal table)

Now since -3.73 is less than 1.645, we reject H₀.    

Therefore this indicate that the proposed warranty should be modified

3 0
2 years ago
The graphs of the two lines 4x=3y+23 and 4y+3x=-19
dem82 [27]
Answer: <span>D. Are perpendicular

</span><span>4x=3y+23 slope = 4/3
</span><span>4y+3x=-19 slope = -3/4</span>
4 0
3 years ago
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