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polet [3.4K]
3 years ago
8

How many different committees can be formed from 11 teachers and 49 students if the committee consists of 2 teachers and 4 stude

nts?
Mathematics
1 answer:
olganol [36]3 years ago
8 0
The number of combinations is the product of the number of choices for each selection...

c=11*10*49*48*47*46=559,352,640
You might be interested in
Can someone please help me answer this question. I dont know what to do.
pogonyaev

Answer:

7

Step-by-step explanation:

hi , you can see here we have a rectangle without a triangle :

area rectangle - area  triangle = area of the shape

Area of the triangle= L x l

=4 x 2

=8

Area of the triangle = \frac{b X h}{2}

=\frac{2 X 1}{2}

=1

So we do :   8 - 1 = 7

I hope it is gonna be helpful,

have a nice day.

3 0
3 years ago
What is the range of the function y=e^x+1 graphed below
REY [17]
The range of y=e^x+1 is y>1.

5 0
3 years ago
Read 2 more answers
85.87 J or heat energy is added to a 34.8 g mass of substance the temperature rises from 21.76°C
Andru [333]

Answer:

The required specific heat is 196.94 joule per kg per °C  

Step-by-step explanation:

Given as :

The heat generated = Q = 85.87 J

Mass of substance  (m)= 34.8 gram = 0.0348 kg

Change in temperature = T2 - T1 = 34.29°C - 21.76°C = 12.53°C

Let the specific heat = S

Now we know that

Heat = Mass × specific heat × change in temperature

Or, Q = msΔt

Or, 85.87 = (0.0348 kg ) × S × 12.53°C

Or , 85.87 = 0.4360 × S

Or, S = \frac{85.87}{0.4360}

∴ S = 196.94 joule per kg per °C

Hence the required specific heat is 196.94 joule per kg per °C   Answer

7 0
3 years ago
A Galapagos cactus finch population increases by half every decade. The number of finches is
Angelina_Jolie [31]

Answer:

The number of fringes at d=-2 is given as 20.

Step-by-step explanation:

Question

A Galapagos cactus finch population increases by half every decade. The number of finches is modeled by the expression

,

where d is the number of decades after the population was measured. Evaluate the expression for d = −2

Given :

The number of  finches is modeled by the expression  :

⇒ 45\cdot1.5^d

where d is the number of decades after the population was measured.

To evaluate the expression for d=-2

Solution:

In order to evaluate the given expression to find the number of finches at d=-2, we will plugin -2 for d in the expression and simplify it.

Plugging in d=-2 in the expression:

⇒ 45\cdot 1.5^{-2}

Using negative exponent property. [a^{-x}=\frac{1}{a^x}

⇒ 45\cdot \frac{1}{1.5^2}

⇒ 45\cdot \frac{1}{2.25}

⇒ 20   (Answer)

Thus, the number of fringes at d=-2 is given as 20.

This means the number of fringes two decades ago was 20.

6 0
3 years ago
A factory used 7/10 of a barrel of almonds to make 7 batches of granola bars. How many barrels of almonds did the factory put in
zlopas [31]

Answer:

4 9/10

Step-by-step explanation:

7/10×7=49/10= 4 9/10

5 0
3 years ago
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