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harkovskaia [24]
3 years ago
11

Drag the simplified value into the box to match each expression.

Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer:

2^{3} +1⋅4−3 = 9

2^{0}+10−4⋅2 = 3

3+5^{2} -6⋅4 = 4

Step-by-step explanation:

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In how many ways can a committee of four be chosen from five married couples if a husband and wife cannot both be selected?
Neko [114]

One of the approaches:

Each couple can send only one "representative" to the committee. Let's see in how many ways we can choose 3 couples (as there should be 3 members) out of 4 to send only one "representatives" to the committee: 4C3=4.

But each of these 3 couples can send two persons (husband or wife): 2*2*2=2^3=8.

Total # of ways: 4C3*2^3=32.

hope it helped a bit
3 0
3 years ago
How do you solve percentage of a number for example, I bought a dress for $150 but I received a 20% discount. What was my ending
pogonyaev

Answer: divide 150-0.20=149.8

Step-by-step explanation:

7 0
3 years ago
What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)?<br><br> 0<br> 5<br> 10<br> 15
Elanso [62]

Answer:  Second option is correct.

Explanation:

Since we have given that

f(x)=3x^4+2x^3-x^2+2x-19

And g(x)=x+2

To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.

So,

Here, we have,

x+2=0\\\\x=-2

So, we will find f(-2) which will give us the required remainder,

f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5

Hence, Second option is correct.

7 0
3 years ago
A company was able to increase its staff from 127 employees to 204
alekssr [168]
The percentage increase in staff was 60.6%.
8 0
3 years ago
A 100-gallon barrel, initially half-full of oil, develops a leak at the bottom. Let A(t) be the amount of oil in the barrel at t
Scilla [17]

Answer:

\frac{\mathrm{d} A}{\mathrm{d} t}=ktA\,,\,A(0)=50

Step-by-step explanation:

A(t) denotes the amount of oil in the barrel at time t.

As the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel,

\frac{\mathrm{d} A}{\mathrm{d} t}=ktA

Here, k is a constant term.

As a 100-gallon barrel initially contains half-full of oil,

A(0)=50

4 0
3 years ago
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