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Gennadij [26K]
3 years ago
8

Expand and simplify. (x+4)squared

Mathematics
2 answers:
mylen [45]3 years ago
8 0
(x+4)²= (x+4)×(x+4)

Use the FOIL method to simplify

F=First (multiply the first number of each expression)
O=Outside (multiply the outside edges of each expression)
I= Inside (multiply the inside edges of each expression)
L= Last (multiply the last number of each expression)

x times x= x²
x times 4= 4x
4 times x= 4x
4 times 4= 16

Add them together, we have: x²+4x+4x+16
We can simplify this by adding like terms
4x+4x=8x

Final expression= x² + 8x + 16
Setler79 [48]3 years ago
6 0
(x+4)^2 = x^2 + 2(x)(4) + 4^2 .....................(By-identity) \\ \\ => x^2 + 8x + 16
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3 years ago
Consider a sampling distribution with p equals 0.12 and samples of size n each. Using the appropriate​ formulas, find the mean a
Mandarinka [93]
<h2>Answer with explanation:</h2>

Consider a sampling distribution with p equals 0.12 and samples of size n each.

Then, formula for mean = p

Formula for standard deviation= \sqrt{\dfrac{p(1-p)}{n}}

(a) For a random sample of size n equals 5000.

Mean = 0.12

Standard deviation= \sqrt{\dfrac{0.12(1-0.12)}{5000}}

\\\\0.00459565011723\approx0.0046

(b) For a random sample of size n equals 1000.

Mean = 0.12

Standard deviation= \sqrt{\dfrac{0.12(1-0.12)}{1000}}

\\\\=0.0102761860629\approx0.0103

(c) For a random sample of size n equals 500.

Mean = 0.12

Standard deviation= \sqrt{\dfrac{0.12(1-0.12)}{500}}

\\\\=0.0145327216997\approx0.0145

8 0
2 years ago
Use Natural Logarithms to solve the equation
Rus_ich [418]

Answer:

A) 0.106

Step-by-step explanation:

8e^3x + 4 = 15

Subtract 4 from each side

8e^3x + 4-4 = 15-4

8e^3x  = 11  

Divide each side by 8

8/8e^3x = 11/8

e^(3x) = 11/8

Take the natural log of each side

ln(e^(3x)) = ln(11/8)

3x = ln(11/8)

Divide by 3

3x/3 = 1/3 ln(11/8)

x = 1/3 ln(11/8)

x =.106151244

To the nearest thousandth

x = .106

7 0
3 years ago
Please help!!! I will give brainliest but only if you try and help.
Slav-nsk [51]

Answer:

<h2>____</h2><h3>1260 </h3><h2>____</h2>

Since we have to predict, we can use ratios to help us solve this.

12 said yes out of 72 randomly chosen, SO,

if 210 would say yes (goes to play), how many is total??

12 is to 72 AS 210 is to HOW MUCH (let it be x)??

We can setup ratio, cross multiply, and solve for x:

= 12/72= 210/x

= 12x = 210*72

=12x = 15,120

=x = 15,120/12

<h2>=x =1260</h2>

8 0
3 years ago
Please answer this correctly
g100num [7]

Answer:

593 mm^{2}

Step-by-step explanation:

3.14 × 17^{2} = 907.46

3.14 × 10^{2} = 314

907.46 - 314 = 593.46

4 0
3 years ago
Read 2 more answers
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