Find the area of a compound shape

Can you please explain

The required value of f(x) when x = 0.5 is 16.

Given,

f(x) varies directly with x .

f(x)=160 when x = 5.

We have to find f(x) when x = 0.5

According to the question ;

A function f(x) that varies directly with x. Direct variation is a case of variation expresses as the following form:

f(x) = kx

The value k is a nonzero constant greater than zero and is called the constant of variation.

This indicates that f(x) increases as x increases.

 So,

    f( x ) = kx

      [tex]k = \frac{f (x) }{x}\\\\ k = \frac{f(5)}{5}[/tex]

       [tex]k = \frac{160}{5}[/tex]

     k = 32  

When x = 0.5,

Then ,  f(x) = 32x

           f(x) = 32(0.5)

           f(x) = 16

The required value of  f(x) when x = 0.5 is 16.

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Answer:

9.09

Step-by-step explanation:

9.09

Hope this helped, ❤️❤️❤️

Answer:

0.2

Step-by-step explanation:

Given that:

P(particleboard with excessive bark) = 0.15

The P(that particleboard do not have excessive bark) = 1 - 0.15

i.e the population proportion number of success p = 0.85

The sample size (n) is given to be = 1000

To find the P(X ≥ 860)

Since the sample size is large, we will apply the normal approximation of binomial distribution to treat this question.

The population mean [tex]\mu = n \times p[/tex]

[tex]\mu = 1000 \times 0.85[/tex]

[tex]\mu =850[/tex]

The population standard deviation [tex]\sigma = \sqrt{n*p(1-p)[/tex]

[tex]\sigma = \sqrt{1000*0.85*(1-0.85)}[/tex]

[tex]\sigma = \sqrt{1000*0.85*(0.15)}[/tex]

[tex]\sigma = \sqrt{127.5}[/tex]

[tex]\sigma = 11.2916[/tex]

Let X be the random variable which obeys a normal distribution;

Then;

[tex]P(X \ge 860) = P(Z\ge \dfrac{x- \mu}{\sigma})[/tex]

[tex]P(X \ge 860) = P(Z\ge \dfrac{860- 850}{11.2916})[/tex]

[tex]P(X \ge 860) = P(Z\ge \dfrac{10}{11.2916})[/tex]

P(X ≥ 860) = P(Z ≥ 0.8856)

P(X ≥ 860) = 1 - P(Z ≤ 0.8856)

From  z table

P(X ≥ 860) = 1 - 0.8122

P(X ≥ 860) = 0.1878

P(X ≥ 860) [tex]\simeq[/tex] 0.2

Thus, the probability of having more than 860 bark-free chips in a batch of 1,000 = 0.2

Answer: in order

x=-3-[tex]\sqrt{42}[/tex]

x=-3+[tex]\sqrt{42}[/tex]

Step-by-step explanation:

100 % edmentum  

The solutions of the equation are x=-3+√42 and x=-3-√42.

The given quadratic equation is 2x²+12x=66.

Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial.

Now, 2x²+12x=66 can be written as x²+6x-33=0

Add and subtract (b/2)² to the equation.

That is x²+6x-33+9-9=0

⇒x²+6x+9=42

⇒(x+3)²=42

⇒(x+3)=±√42⇒x=±√42-3

Therefore, x=-3+√42 and x=-3-√42.

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Answer:

250

Step-by-step explanation:

5171/17

Estimate: 5000/20 = 500/2 = 250

Answer:

250

Step-by-step explanation:

round first to 5000/20 = 250

please give a brainiest

Answer:

20

Step-by-step explanation:

2(a+3b)=2(10)

The value of 2a + 6b is 20.

To find the value of 2a + 6b, we can use the given equation:

a + 3b = 10

Now, we want to find 2a + 6b, which is simply twice the value of "a + 3b."

2a + 6b = 2(a + 3b)

Now, substitute the value of "a + 3b" from the given equation:

2(a + 3b) = 2(10)

2a + 6b = 20

So, the value of 2a + 6b is 20.

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Answer:

y=7.5x, y=9.25x, y=6x

Step-by-step explanation:

on the first table we have for 2 tikets $ 15 so the price for one ticket (also known as unit price) is 15/2= $ 7.5

the equation for the price of ticket must be

y= 7.5 x (where y is price you pay for x number of tikets)

on the second table you can pick that you have $37 for 4 tikets so unit price is 37/4= $9.25 per one ticket

y=9.25x

last table $12 for 2 tikets so for one ticket is 12/2=$6

y=6x

Answer:

2^8x-3

Step-by-step explanation:

Step-by-step explanation:

I guess the answer is 187MB

Answer:

4

Step-by-step explanation:

Answer:

its 4 :/

Step-by-step explanation:

Answer:

$225

Step-by-step explanation:

300/4=75

75*3=225

Answer:

A

Step-by-step explanation

I chose this answer because Y and B have the same angle degree and because Y and B are the same angle on both triangles. To me it seems as though ABC and XYZ are the same triangles.

Answer:

FALSE

Explanation:

any fraction can be converted to a decimal

Answer:

false

Step-by-step explanation:

Answer:80

Step-by-step explanation:

15% of 80 is 12

80/10=8=10%

8/2=4=5%

8+4=12=15% of 80

Answer:

7 times

Step-by-step explanation:

In order to find the answer to this question you have to remember that when dealing with exponents you need to multiply the number to itself as many times as the exponent. In this case we have 2^3 we then need to multiply two by itself three times because three is it's exponent.

[tex]2^3 \times2^4[/tex]

[tex]2^3=2\times2\times2[/tex]

[tex]2^4=2\times2\times2\times2[/tex]

[tex]2\times2\times2\times2\times2\times2\times2=[/tex]

[tex]3+4=7[/tex]

[tex]=7[/tex]

Hope this helps.

mk mk mk kmk mkmk mkStep-by-step explanation:

Answer:

0.34

Step-by-step explanation:

Just subtract them

Answer:

3

Step-by-step explanation:

rise/run = 6/2 =3

the water rised by 3 gallons each minute

Answer:

It should be "one solution"

Step-by-step explanation:

After graphing the equations, the two lines only intersect at one point which makes it "one solution." Hope this helps.

Answer:

2/9

Step-by-step explanation:

Answer

ASA.

Step-by-step explanation:

just got it right on edu2020.

The missing reason in the proof that justifies why ΔMNG ≅ ΔKJG is: ASA.

Recall:

In the proof given as shown in the image attached below, having established the fact that both triangles have two pairs of congruent angles, ∠MGN ≅ ∠KGJ and ∠N ≅ ∠J, and the image also shows a pair of included sides that are congruent, GN ≅ GJ, therefore:

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1. 6 + 3i

2. 10 +6i

3. 9-23i

Answer:

increase

Step-by-step explanation:

because if there is more members well need more water

Since the question is asking ABOUT, you would have to round 25.60. Since the tenth's place is greater than 5, 25.60 rounds up to 26. Then you would multiply 26 with 6. You will get your answer of 156.