Can you answer the one that has Thomas, the drum major please.

The radius of a right circular cylinder is increasing at the rate of 3 ft/sec, while the height is decreasing at the rate of 6 f

goblinko [34]

Answer:

$\frac{dV}{dt}=-450\pi ft^3/sec$

Step-by-step explanation:

Let's assume

radius of cylinder as 'r'

height of cylinder as 'h'

so, we have

$\frac{dr}{dt} =3ft/sec$

$\frac{dh}{dt} =-6ft/sec$

r=15ft

h=10ft

now, we can use volume of cylinder formula

$V=\pi r^2h$

we can find derivative with respect to t

$\frac{dV}{dt}=2\pi r h\times\frac{dr}{dt} +\pi r^2\times \frac{dh}{dt}$

now, we can plug values

$\frac{dV}{dt}=2\pi (15)(10)\times3 +\pi (15)^2\times -6$

now, we can simplify it

$\frac{dV}{dt}=-450\pi ft^3/sec$

6 0

3 years ago

Find the solution to the system of equations. x + y + z = 11 y + z = 12 Z= 8

Brrunno [24]

The answer is (A. x =-1, y=4, z=8)

7 0

3 years ago

Help i dont understand this

True [87]

Answer:

b

Step-by-step explanation:

7 0

3 years ago

lled a 12:3:112:3:1 ratio. Such a model can provide the basis for the null hypothesis in a significance test. A cross of white a

nadezda [96]

Here is the full question:

When a species has several variants of a phenotype passed on from generation to generation, we can form a hypothesis about the genetics of the trait based on Mendelian theories of genetic inheritance. For example, in a two-gene dominant epistatic model, the first gene masks the effect of the second gene, leading to the expression of three phenotype variants. Crossing the dominant and recessive homozygote lines would result in a second generation represented by a mix of dominant, intermediate, and recessive phenotype variants in the expected proportions: and respectively, also called a 12:3: 1 ratio.

Such a model can provide the basis for the null hypothesis in a significance test. A cross of white and green summer squash plants gives the number of squash in the second generation F2: 131 white squash, 34 yellow squash, and 10 green squash. Are these data consistent with a 12: 3: 1 dominant epistatic model of genetic inheritance( white being dominant)?

The null hypothesis for the chi-square goodness-of-fit test is

Answer:

The null hypothesis for the chi-square goodness-of-fit test is :

$\mathbf{H_o:p_{white} = \frac{12}{16}, p_{yellow} = \frac{3}{16}; p_{green} = \frac{1}{16} }$

Step-by-step explanation:

The objective of this question is to state the null hypothesis for the chi-square goodness-of-fit test.

Given that:

There are three colors associated with this model . i,e White , yellow and green and they are in the ratio of 12:3:1

The total number of these color traits associated with this model = 12 + 3 + 1 = 16

Thus ;

The null hypothesis for the chi-square goodness-of-fit test is :

$\mathbf{H_o:p_{white} = \frac{12}{16}, p_{yellow} = \frac{3}{16}; p_{green} = \frac{1}{16} }$

3 0

3 years ago

Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times

boyakko [2]

F is the right answer

3 0

3 years ago