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3 years ago

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?

Mathematics

2 answers:

olga55 [171]3 years ago

7 0

Answer:

Hence, the expression for the area of the metal sheet used is:

$(x+1)^2=x^2+2x+1$

Step-by-step explanation:

It is given that a traffic signal is in the shape of a square such that its's one side is labeled as:

x+1.

We are asked to find the expression that is equivalent to the area of metal sheet required to make this square-shaped traffic sign.

The area of metal sheet used will be equal to the area of the traffic signal which is equal to the area of the square with side length (x+1).

Hence, the area of square(A) is:

$A=(x+1)^2\\\\A=x^2+1+2x$

Hence, the expression equivalent to the area of metal sheet used is:

$(x+1)^2=x^2+2x+1$

Lena [83]3 years ago

6 0

(x+1)^2
(x+1)(x+1)
x^2+x+x+1
The expression is x^2+2x+1

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A laboratory tested 85 chicken eggs and found that the mean amount of cholesterol was 190 milligrams. Assume that the sample sta

Serjik [45]

Answer: $(182.356,\ 197.644)$

Step-by-step explanation:

Given : Significance level : $\alpha:1-0.95=0.05$

Sample size : n=85

Critical value : $z_{\alpha/2}=1.96$

Sample mean : $\overline{x}=190$

Standard deviation : $\sigma=11.7$

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=190\pm(1.96)\dfrac{11.7}{\sqrt{9}}\\\\=190\pm7.644\\\\=(190-7.644,\ 190+7.644)=(182.356,\ 197.644)$

Thus, the 95% confidence interval for the true mean cholesterol content, μ, of all such eggs = $(182.356,\ 197.644)$

Hence, we conclude that the true population mean of amount of cholesterol lies between 182.356 and 197.644.

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3 years ago

Country bank pays a simple interest rate of 4% per year. A student plans to invest 5000. How much money will the student have at

Advocard [28]

Answer:

$6200

Step-by-step explanation:

Given data

Rate= 4%

Principal=$5000

Time = 6 years

The simple interest formula is

A=P(1+rt)

substitute

A=5000(1+0.04*6)

A= 5000(1+0.24)

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3 years ago

Olives garden is only 10 yd.² and the watermelon plants she wants to grow require 2.5 yd squared each how many watermelon plants

Ad libitum [116K]

Answer:

The answer is<em> 4.</em>

Step-by-step explanation:

Olives garden has area= $10 yd^2$

Each watermelon plants she want to grow require an area= $2.5 yd^2$

Hence, the number of watermelon plants she can grow in that garden is given by:

Number of watermelon plants she can grow= (Total area)/( Area 1 watermelon plant requires)

Hence, Number of watermelon plants she can grow= $\dfrac{10}{2.5}=4$

Hence, she can grow 4 watermelon plants in Olives garden.

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3 years ago

Alvin is running at a rate of 3 meters per second. The meters he runs, m, in s seconds is given by the equation m=3s. Identify t

dem82 [27]

It is 6 because I got the awnser multiple times

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3 years ago

Read 2 more answers

Your client has saved $2500 for a down payment on a house. A government loan program requires a down payment equal to 2.5% of th

EleoNora [17]

Answer:

The largest amount that could be received is $100,000

Step-by-step explanation:

Here in this question , we are interested in calculating the largest amount loan amount that could be received.

Now, let the loan amount be $x

What we know is that the amount of down payment paid is 2.5% of the loan amount.

Thus, mathematically;

2.5% of x = 2500

2.5/100 * x = 2500

2.5x/100 = 2500

2.5x = 100 * 2500

x = (2500 * 100)/2.5

x = 100,000

The largest loan amount that could be received with the program is $100,000

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3 years ago