Evaluate. 58−(14)2=58-142= ________

H (t) = - 16t ^ 2 + 16t + 480
To address this, we first set the polynomial to zero to find its roots.
So we have:
0 = -16t ^ 2 + 16t + 480
This leads us to the roots of the polynomial:
t1 = -5
t2 = 6
We disregard the negative root since time cannot be less than zero.
Final answer:
Rose takes about
t = 6 seconds

The formula can be applied to determine the radius. Step-by-step explanation: The volume of the larger can is given by V=πr(r)h or V=πr²h. To isolate r, divide both sides by πh. Then, by applying the square root to both sides and substituting π with 3.14, the resulting equation will yield the radius.

Response:

Option E is the right choice.

A connection seems evident between the app and the reduction of daycare-related illnesses.

Step-by-step breakdown:

Research involved 1200 randomly chosen parents, revealing that the kids of parents who utilized the app had an average of 10 fewer cases of daycare illnesses compared to those whose parents didn’t download it during the study duration.

Reviewing the options individually

a. Since using the app appears to lower child sickness, its effectiveness should extend to decreasing child neglect as well.

The study indicates a reduction in daycare-related illnesses for those using the app but does not address neglect, making this conclusion incorrect.

b. Using the app will ensure daycare employees do not transmit germs.

The research didn't examine how the app functions, nor whether it stops daycare workers from transmitting germs. Thus, this conclusion lacks accuracy.

c. The analysis was performed as an experiment, not an observational study.

In reality, it was primarily observational. Such studies document results without manipulation by the researchers.

d. The sample size of the study was inadequate for drawing conclusions.

A pool of 1200 is sufficiently large to reflect the wider population’s characteristics. Therefore, this assertion is also incorrect.

e. A link seems to exist between the app and reduced transmission of daycare illnesses.

From the provided details, it’s clear that the findings of this study depict a link between using the app and a marked decrease in daycare-related illnesses among children of those who have downloaded it. Hence, the app likely plays a role in lowering the risk of such illnesses in their children.

Hope this is helpful!

The least common denominator needed to combine the variable terms is 15. The least common denominator for the constant terms is 21.

The measurement of arc DB equals 74.57°. Step-by-step explanation: To clarify the resolution method: A secant intersects a circle in precisely two points, while a tangent intersects at just one point. When a tangent and a secant intersect outside of a circle, the formed angle's measurement is precisely half of the positive difference between the measures of the intercepted arcs. Now, applying this to the issue where secant CE intersects circle A at points D and E, while tangent CB touches circle A at B, forming angle ECB. As such, m∠ECB = 1/2 (m arc EB - m arc DB). Given m arc EB as 96° and m arc DB given as 25x + 21, along with m∠ECB as 5x, we establish the equation 5x = 1/2[96 - (25x + 21)]. After rearranging and solving, we find x = 75/35, simplifying to 15/7. Next, substituting x back into the arc DB formula gives m arc DB = 25(15/7) + 21 = 522/7 yields approximately 74.57°.