What property is 6+0=6

Ten times an integer is added to seven times it’s square. If the result is 152, what was the original number?

Bess [88]

Answer:

Required number is 4.

Step-by-step explanation:

Let the required number be a.

Given,

Sum of ten times the integer and seven times it’s square is 152.

= > Ten times of a + seven times of it's square = 152

= > 10( a ) + 7( a )^2 = 152

= > 10a + 7a^2 - 152 = 0

= > 7a^2 + 10a - 152 = 0

= > 7a^2 + ( 38 - 28 )a - 152 = 0

= > 7a^2 + 38a - 28a - 152 = 0

= > a( 7a + 38 ) - 4( 7a + 38 ) = 0

= > ( a - 4 )( 7a + 38 ) = 0

= > a = 4 or - 38 / 7

Hence the required number is 4.

3 0

2 years ago

the total cost (c) in dollars of renting a car for n days is given by the inequality c >125 +50n. what is the maximum number

Paraphin [41]

H. 6 days
hope this helps!

4 0

3 years ago

Using the simple random sample of weights of women from a data set, we obtain these sample statistics: nequals45 and x overbar

Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : $n=45$

$\overline{x}=148.79\text{ lb}$

$\sigma=31.37\text{ lb}$

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = $\mu=148.79\text{ lb}$

b) The confidence interval for the population mean is given by :-

$\mu\ \pm E$ , where E is the margin of error.

Formula for Margin of error :-

$z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Significance level : $\alpha=1-0.90=0.1$

Critical value : $z_{\alpha/2}=z_{0.05}=\pm1.645$

Margin of error : $E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69$

Now, the 90% confidence interval for the population mean will be :-

$148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)$

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0

3 years ago

Find the area of this circle. Use 3 for a.A = 7r2=11 in[?] in?

liberstina [14]

SOLUTION

We want to find the area of the circle in the picture given.

We have been given the formula as

$\begin{gathered} A=\pi r^2 \\ We\text{ are told to take }\pi\text{ as 3} \\ \end{gathered}$

From the circle, the radius r = 11 in.

The area of the circle becomes

$\begin{gathered} A=\pi r^2 \\ A=\pi\times r^2 \\ A=3\times11^2 \\ A=3\times11\times11 \\ A=363in^2 \end{gathered}$

Hence the answer is 363 square-inches

7 0

10 months ago

|x+5|+20=4 Needs to show work on how you came up with the answer.

arlik [135]

Answer:

No solution

Step-by-step explanation:

So we have the equation:

$|x+5|+20=4$

First, subtract 20 from both sides:

$|x+5|=-16$

Now, we can stop. Recall that absolute value will always <em>always</em> give a positive answer.

Since this equals -16, this means that there is no solution.

And we're done!

5 0

3 years ago