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Mazyrski [523]
3 years ago
13

What is the domain of the function below?

Mathematics
1 answer:
Ilya [14]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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What is a function of x
Rufina [12.5K]
Whats the x referring to<span />
3 0
3 years ago
The diagonal of a square is 8 cm.
VladimirAG [237]

the length of the side of this square is 4\sqrt{2} \:or \:5.65cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\frac{64}{2}

a²=32

doing square root on both side

\sqrt{a²}=\sqrt{32}

a=±\sqrt{2*2*2*2*2}

a=±2*2\sqrt{2}

Since side of square is always positive so

a=4\sqrt{2} or 5.65 cm

6 0
3 years ago
Read 2 more answers
Needing help, the secretary of the united states department of agriculture asked your teacher, "if a chicken-and-a-half can lay
Flura [38]

we are given that

3 chickens to lay 32 eggs

now, we can find number of eggs per chicken

number of eggs per chicken= (total eggs)/(total chicken)

so, we get

number of eggs per chicken is

=\frac{32}{3}

now, we can set up following

1.5 chicken : 1.5 eggs : 1.5 days  

3 chickens : 3 eggs : 1.5 days  

1 chicken : 1 egg : 1.5 days

Since, changing number of chicken won't affect time

time to lay eggs will always remain same

so,

for 1 chicken to lay =\frac{32}{3} eggs

it takes

=\frac{32}{3}*1.5 days

=16 days..............Answer


8 0
3 years ago
Tim has a large collection of books. The number of paperback books he owns is three less then four times the number of hardcover
dlinn [17]

Answer: let the no of paperback books be x and hardcover books be y

4y - x = 3

Therefore, x - 4y = -3 -----(1)

x + y = 447 ----(2)

Put x = 447 - y in eqn 1

447- y - 4y = -3

-5y = -3 - 447

-5y = -450

y = 90

x = 357

Step-by-step explanation:

3 0
3 years ago
A simple random sample from a population with a normal distribution of 103 body temperatures has x overbarequals98.90degrees Upp
Shtirlitz [24]

Answer:

98.90-1.984\frac{0.62}{\sqrt{103}}=96.98    

98.90+ 1.984\frac{0.62}{\sqrt{103}}=100.82    

The 95% confidence interval would be given by (96.98;100.82)    

Step-by-step explanation:

Information given

\bar X=98.90 represent the sample mean

\mu population mean (variable of interest)

s=0.62 represent the sample standard deviation

n=103 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=103-1=102

Since the Confidence is 0.95 or 95%, the significance is \alpha=0.05 and \alpha/2 =0.025, and the critical value for this case would be t_{\alpha/2}=1.984

And replacing we got:

98.90-1.984\frac{0.62}{\sqrt{103}}=96.98    

98.90+ 1.984\frac{0.62}{\sqrt{103}}=100.82    

The 95% confidence interval would be given by (96.98;100.82)    

8 0
3 years ago
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