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3 years ago

Write an equivalent expression for 4(3a+7) +(2a+5) if a = 5 is the solution to both expressions the same?

Mathematics

1 answer:

ollegr [7]3 years ago

3 0

Substitute 8 for a
4[3(8)+7] + 2(8) +5
=4[24+7] +16+5
=4(31)+21
=124+21
=155

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Find x<br> options;<br> a) 21√2/2<br> b) 21√2<br> c) 21√3/2<br> d) 7

pishuonlain [190]

The value of x is 21√2/2

The correct option is (A)

<h3>What is Trigonometry?</h3>

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

In triangle having angle 60.

sin 60 = P/ 7√3

√3/2= P/7√3

2P= 21

P= 21/2

Now again

cos 45= 21/2/x

1/√2 = 10.5/x

x= 21√2/2

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1 year ago

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Mamont248 [21]

Answer:

The answer is 50 hours

Step-by-step explanation:

4x = 200

Divide both sides by 4

x = 200 \div 4 = 50

so after 50 hours of walking, the men will be 200 miles apart.

8 0

3 years ago

What is ( 5*5)+(50%*2)=

Veronika [31]

Answer:

Step-by-step explanation:

50% = 0.5

(5 * 5) + (0.5 * 2) =

25 + 1 =

26 <===

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3 years ago

What is the average rate of change between f (1) and f (5) in the function f (x) = x2 - x - 6 ?

NISA [10]

Answer:

${ \tt{average = \frac{f(1) + f(5)}{2} }} \\ \\ = { \tt{ \frac{( {1}^{2} - 1 - 6) + ( {5}^{2} - 5 - 6) }{2} }} \\ = \frac{ - 6 + 14}{2} \\ \\ = { \tt{4}}$

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3 years ago

According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the

Elanso [62]

Answer: 0.0885

Step-by-step explanation:

Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.

i.e. p= 0.16

Sample size : n= 154

Now, the probability that more than 20% of this sample is comprised of female employees is given by :-

$P(p>0.20)=P(z>\dfrac{0.20-0.16}{\sqrt{\dfrac{0.16(1-0.16)}{154}}})$

[∵ $z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}$ ]

$=P(z>1.35)\approx1-P(z\leq1.35)=1-0.9115=0.0885$ [Using the standard z-value table]

Hence, the required probability = 0.0885

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3 years ago