29 less than -10 times a number is equal to -18 times a number +91

Need help ASAP DUE IN A COUPLE MINUTES ?!!!!

Georgia [21]

Answer:

$\displaystyle {r}^{} = 6$

Step-by-step explanation:

remember that,

$\displaystyle V _{ \rm sphere} = \frac{4}{3} \pi {r}^{3}$

given that,

V=288π

thus substitute:

$\displaystyle \frac{4}{3} \pi {r}^{3} = 288\pi$

divide both sides by 4/3π:

$\displaystyle {r}^{3} = 216$

cubic root both sides:

$\displaystyle {r}^{} = 6$

and we are done!

8 0

3 years ago

Read 2 more answers

40 points answer ASAP

suter [353]

Answer: See below

Step-by-step explanation:

a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.

b) Let the function be: y = mx + b

When x = 0; y = 120

So:

120 = 0 + c

c = 120

Now the slope:

$\text { Slope }=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{200-120}{10-0}=\frac{80}{10}=8$

Therefore, the equation that best fits the data is y = 8x + 120

c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.

8 0

2 years ago

I need help with number 8

Oksana_A [137]

The answer is 16.8!!!!

3 0

3 years ago

9.50 One way to evaluate the effectiveness of a teaching assistant is to examine the scores achieved by his or her students on a

EleoNora [17]

Answer:

Step-by-step explanation:

Given that a professor sets a standard examination at the end of each semester for all sections of a course. The variance of the scores on this test is typically very close to 300.

$H_0: s^2 = 300\\H_a: s^2 \neq 300$

(Two tailed test for variance )

Sample variance =480

We can use chi square test for testing of hypothesis

Test statistic = $\frac{(n-1)s^2}{\sigma^2} \\=62.4$

p value = 0.0100

Since p <0.05 our significance level, we reject H0.

The sample variance cannot be claimed as equal to 300.

5 0

3 years ago

If the side length of a square pyramid is triple and the slant height is divided by 5 what would be the formula to find the modi

valentina_108 [34]

If the original side length is "s" and the original slant height is "h", the original surface area is
.. S = (base area) +(lateral area)
.. S = s² +(1/2)*(4s)*h
.. S = s(s +2h)

Now, if we make these replacements: s ⇒ 3s, h ⇒ h/5, we have
.. S' = (3s)(3s +2h/5)
.. S' = 9s² +(6/5)s*h . . . . . . . the formula for the modified area (in terms of original dimensions)

_____
Of course, in terms of the modified dimensions, the formula is the same:
.. S' = s'(s' +2h')

5 0

3 years ago