What are the solutions(s) to the quadratic equation 40 - x2 = 0?

Answers

Answer 1

Answer: Divide 40 and 20 by 2, the 2 cancels out, bring down the variable, 20= 0

Answer 2

Answer: $\bf 40-x^2=0\implies 40=x^2\implies \pm√(40)=x\n\n\n\pm√(2^2\cdot 10)=x \implies \pm 2√(10)=x$

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The sprinkler in Rob's sprinkler system waters a circular area. The sprinkler is in an open part of Rob's lawn and waters up to 18 feet away. What is the area the sprinkler can water? Show your work. Use 3.14 for /pi and round to the nearest square foot.
What is 0.26 repeating as a fraction

A line passes through the point (4, –2) and has a slope of 1/2What is the value of a if the point (–4, a) is also on the line?
a. –6
b. –5
c. 5
d. 6

Answers

the answer is -6 your welcome

Show two ways five people can share a 3 segment chewy fruit worm,How much is this per person

Answers

Seperate each segment into two parts, take the extra part and seperate it into five pieces. It would equal 60% of a segment each

Split it into 5ths or 10thsThey will either get one piece each or they will get two

If the general rule of the pattern is 33-3n find 8th term (N=8)

Answers

Answer: 9

Step-by-step explanation:

Given general rule= 33-3n of the pattern, where n is any natural number.

To find 8th term of the pattern, we substitute n=8 in the given general rule, we get

33-3(8) [Substitute n=8 in general rule ]

=33-3×8 [open parenthesis]

=33-24 [3×8=24]

Therefore, we have 8th term = 9 of the pattern given by general rule= 33-3n.

it is 33- 24 which is 9 ...

All professional athletes earn a lot of money.Wes plays professional football so he makes a lot of money. What type of reasoning is this ?

Answers

This is an example of deductive reasoning.

Deductive reasoning is when a conclusion is reached based on logic.The first statement says that football players make a lot of money. Since Wes plays football logically it follows that he makes a lot of money.

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in each can is 0.12 ounce. The machine is overhauled with new components, and ten cans are filled to determine whether the standard deviation has changed. Assume the fill amounts to be a random sample from a normal population.Perform a hypothesis test to determine whether the standard deviation differs from 0.12 ounce. Use the level of significance.

Answers

Answer:

$\chi^2 =(10-1)/(0.0144) 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

$s =\sqrt{(\sum_(i=1)^n (X_i -\bar X)^2)/(n-1)}$

$n=10$ represent the sample size

$\alpha=0.05$ represent the confidence level

$s^2 =0.0217$ represent the sample variance

$\sigma^2_0 =0.12^2= 0.0144$ represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 0.0144$

Alternative hypothesis: $\sigma^2 \neq 0.0144$

The statistic can be calculated like this;

$\chi^2 =(n-1)/(\sigma^2_0) s^2$

$\chi^2 =(10-1)/(0.0144) 0.0217 =13.54$

The degrees of freedom are:

$df=n-1=10-1=9$

Now we can calculate the p value using the alternative hypothesis:

$p_v =2*P(\chi^2 >13.54)=0.279$

A gift box measures 14 inches by 12 inches by 6 inches. How much wrapping paper is needed to exactly cover the box?

Answers

this is find the surfae area

with some logic and simplifiaction we get
SA=2(LW+LH+WH)
lw means legnth times width
lh means legnth times height
wh=width times height

L=14
W=12
H=6
(It doesn't matter which is which when working with this shape)

SA=2(14*12+14*6*12*6)
SA=2(168+84+72)
SA=2(324)
SA=648

answer is 648 in^2

Surface Area= 648 inches
???

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