5 1/4 minus 2 5/8 in fraction form HELP!

PLEASE HELP ME AND EXPLAIN What is the side length of a cube with a volume of 1728 mm3?

Leno4ka [110]

Volume of a cube = a³ = 1728
a = ³√1728
a = 12 mm

In short, Your Answer would be 12 mm

Hope this helps!

3 0

3 years ago

AUTOMOBILES The engine torque y (in foot-pounds) of one model of car is given by y = º3.75x2 + 23.2x + 38.8 where x is the speed

Scilla [17]

Answer:

Part 1) The engine speed that maximizes torque is $3,093 rev/min$

Part 2)The maximum torque is $74.683\ foot-pounds$

Step-by-step explanation:

The correct equation is

$y=-3.75x^{2}+23.2x+38.8$

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the engine speed that maximizes torque

The y-coordinate of the vertex represent the maximum torque

Solve the quadratic equation by graphing

using a graphing tool

The vertex is the point (3.093,74.683)

see the attached figure

therefore

The engine speed that maximizes torque is

$3.093(1,000)=3,093 rev/min$ ---> because is in thousands of revolutions per minute

The maximum torque is

$74.683\ foot-pounds$

7 0

3 years ago

Due in half an Hour. Thanks for your help.

Alecsey [184]

Answer:

C and $320.45

Step-by-step explanation:

I think it's C because this is the full function :

$b = 26 \times d + 3.5 \times 13 + 14.95$

And to get the b part of the question i just put the number in

$b = 26 \times 10 + 3.5 \times 13 + 14.95 = 320.45$

I'm not a 100% sure, sorry if it's wrong

7 0

3 years ago

How menny minutes in 5 hours

prisoha [69]

1 hour = 60 minutes
2 hours = 120 minutes
3 hours = 180 minutes
4 hours = 240 minutes
5 hours = 300 minutes

(5 hours) x (60 minutes / 1hour) = 300 minutes

5 x 60 = 300

3 0

3 years ago

Read 2 more answers

A researcher wishes to determine whether people with high blood pressure can reduce their blood pressure by following a particul

Vladimir [108]

Answer:

We are 95% confident that the average blood pressure of those who follow the diet is between 6 and 21points lower than the average for those who do not follow the diet.

TRUE, the confidence interval founded was $-21 \leq \mu_t -\mu_c \leq -6$ , on this case makes sense say that the blood pressure for the people with the diet is lower than the control group between 6 and 27 points.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

2) Select the correct option

The probability that the mean blood pressure for those on the diet is lower than for those not on the diet is 0.95.

FALSE, that's not the correct interpretation for the results obtained on the confidence interval for the difference of means.

We are 95% confident that the average blood pressure of those who follow the diet is between 6 and 21 points higher than the average for those who do not follow the diet.

FALSE, the confidence interval was for $\mu_t -\mu_c$ and we know that $-21 \leq \mu_t -\mu_c \leq -6$ , so no makes sense say that the blood pressure for the people with the diet is higher than the control group.

We are 95% confident that the average blood pressure of those who follow the diet is between 6 and 21 points lower than the average for those who do not follow the diet.

TRUE, the confidence interval founded was $-21 \leq \mu_t -\mu_c \leq -6$ , on this case makes sense say that the blood pressure for the people with the diet is lower than the control group between 6 and 27 points.

Since all of the values in the confidence interval are less than 0, we are unable to conclude that there is a difference in blood pressure for those who follow the diet and those who do not.

FALSE, we are able to conclude about the experiment between the diet and the control group

8 0

3 years ago