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3 years ago

Incorrect, 4.3.37

2 answers:

5 0

The number of ways is given directly using the formula:
$C_{10}^4\times C_6^3\\\text{wherein }C_n^k=\dfrac{n!}{k!(n-k)!}.\text{ Using the formula we get:}\\C_{10}^4\times C_6^3=\dfrac{10!}{4!(10-4)!}\dfrac{6!}{3!(6-3)!}\\=4200$
(Use a calculator in order to reach the above result.)
So tête number of ways is 4200.

Jlenok [28]3 years ago

5 0

2 with a remainder of one man

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An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be give

Misha Larkins [42]

To determine the number of years when the company will breakeven, we use the equation given. At the breakeven point, the company has no profit and loses. So, we P(x) = 0. We calculate as follows:
P(x) = x3 – 4x2 + 3x – 12
0 = x^3 – 4x^2 + 3x – 12
x = 4 , 1.732i, -1.732i

Solving for x, we will have three value one real and 2 imaginary values. Since time cannot be negative and imaginary. The answer would be 4. After 4 years, the company will break even.

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3 years ago

A pentagonal prism has a volume of 448 cm3. If the height of the prism is 7 cm, what is the area of the base?

Artist 52 [7]

64cm² would be the answer to that question

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3 years ago

Read 2 more answers

The diagram shows a 3 cm x 5 cm x 4 cm cuboid

Rainbow [258]

Answer:

a) The length of segment AC is approximately 5.83 centimeters.

b) The angle ACD is approximately 34.5º.

Step-by-step explanation:

a) Since $AB \perp BC$ , the length of segment $AC$ is determined by Pythagorean Theorem, that is:

$AC = \sqrt{(5\,cm)^{2}+(3\,cm)^{2}}$

$AC \approx 5.831\,cm$

The length of segment AC is approximately 5.831 centimeters.

b) Since $AB \perp BC \perp AD$ , the length of segment $AD$ is determined by this Pythagorean identity:

$AD = \sqrt{(3\,cm)^{2}+(5\,cm)^{2}+(4\,cm)^{2}}$

$AD \approx 7.071\,cm$

The angle ACD is determined by the following trigonometric expression:

$\cos C = \frac{AC}{CD}$

$\cos C = \frac{5.831\,cm}{7.071\,cm}$

$\cos C = 0.825$

$C = \cos^{-1} 0.825$

$C \approx 34.448^{\circ}$

The angle ACD is approximately 34.448º.

4 0

2 years ago

PLS HELP! which graph is the function 3x + 2y = 8 with the given domain {-2,0,2,4}??

Romashka [77]

Answer:

Step-by-step explanation:

Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.

To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.

For x = -2,

3(-2) + 2y = 8

-6 + 2y = 8

2y = 8 + 6

2y = 14

y = 14/2

y = 7

(-2, 7)

For x = 0,

3(0) + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2

y = 4

(0, 4)

For x = 2,

3(2) + 2y = 8

6 + 2y = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

(2, 1)

For x = 4,

3(4) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -4/2

y = -2

(4, -2)

The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.

Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.

7 0

3 years ago

Twenty four over the quantity of 3 x minus two. Find f(−2).

TEA [102]

Answer:

f(-2) = -3

Explanation:

Not sure if those last couple numbers are answer choices, but I'm going to infer that they might be.

Twenty four over the quantity of 3 x minus two in standard form is:

f(x) = 243x−2

Since the number in the ( ) = x, plug in for x using f(-2)

243∗(−2)−2

P E {M D} {A S} for where to solve first

Multiply the 3 and (-2):

24−6−2

Add -6 and -2:

24−8

Divide the rest:

f(-2) = -3

3 0

3 years ago