A small sphere of mass, m “ 250.0 g, carries a charge of q “ ´450.0 µC. It’s tied
to a massless string of length, L “ 8.00 cm, which is tied to a horizontal post at point, P.
There are two very large horizontal plates at y “ ˘12.0 cm. The top plate carries a charge of
σT “ `7.65 pC{cm2
, and the bottom plate carries a charge of σB “ ´7.65 pC{cm2
. The string
is initially stretched and held at an angle of θ0 “ 94.0
˝ with the positive x-axis.

Find:
a) Where will the sphere be 1.25 seconds after it is let go?
b) What is the sphere’s velocity at this instant?
c) If the string breaks at this instant, which plate will the sphere first hit?
d) Where will it hit the plate? (Give the x-coordinate.)
e) What will its velocity be at the instant it hits the plate?

Carl wants to buy a television that cost $500 including taxes. to pay for television he will use a payment plan that requires him to make a down payment of $125 and then pay $70.50 each month for six months what is the percent increase from the original cast of the television to the cost of the television using a payment plan.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Listed below are time intervals (min) between eruptions of a geyser. assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. does it appear that the mean time interval has changed? is the conclusion affected by whether the significance level is 0.10 or 0.01? recent 78 90 90 79 57 101 62 87 71 87 81 84 57 80 74 103 62 past 88 89 93 94 65 85 85 92 87 91 89 91 follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. use a significance level of 0.10. is the conclusion affected by whether the significance level is 0.10 or 0.01? answer choices below: a) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. b) no, the conclusion is not affected by the significance level because h0 is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. c) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. d) no, the conclusion is not affected by the significance level because h0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.