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2 years ago

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HELP MEE ,20 POINTS !!!!

1 answer:

Natali [406]2 years ago

3 0

Celina says true that each of the following expressions is actually a binomial expression.

<h3>What is binomial?</h3>

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

Celina says that each of the following expressions is actually a binomial in disguise:

a. 5abc - 2a² + 6abc = 11abc - 2a²

The is a binomial expression.

b. 5x³∙2x² - 10x⁴ + 3x⁵ + 3x∙(-2) x⁴ = 7x⁵ - 10x⁴

The is a binomial expression.

c. (t+2)² - 4t = t² + 4

The is a binomial expression.

d. 5(a - 1) - 10(a - 1) + 100(a - 1) = 95a - 95

The is a binomial expression.

e. (2πr - πr² )r - (2πr - πr²)∙2r = -2πr² + πr³

The is a binomial expression.

Celina says true that each of the following expressions is actually a binomial expression.

More about the binomial expansion link is given below.

brainly.com/question/12249986

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a mixture of peanuts and corn sells for P40 per kilo. The peanuts sell for P42 per kilo while the corn sells for P36 per kilo. h

Lelu [443]

Answer:

The weight of peanuts in the mixture = 8 kg

The weight of corns in the given mixture = 4 kg

Step-by-step explanation:

Let us assume the weight of peanuts in the mixture = x kg

The weight if corns in the given mixture = y kg

Total weight = (x + y) kg

The combined mixture weight = 12 kg

⇒ x + y = 12 ..... (1)

Cost of per kg if mixture = $ 40

So, the cost of (x + y) kg mixture = (x+y) 40 = 40(x+ y) ..... (2)

The cost of 1 kg of peanuts = $ 42

So cost of x kg of peanuts = 42 (x) = 42 x

The cost of 1 kg of corns = $ 36

So cost of y kg of corns = 36 (y) = 36 y

So, the total cost of x kg peanuts + y kg corns = 42 x + 36 y .... (3)

From (1) and (2), we get:

40(x+ y) = 42 x + 36 y

x + y = 12 ⇒ y = 12 -x

Put this in 40(x+ y) = 42 x + 36 y

We get:

40(x+ 12 -x) = 42 x + 36 (12 -x)

480 = 42 x + 432 - 36 x

or, 480 - 432 = 6 x

or, x = 8

⇒ y = 12 -x = 12 - 8 = 4

⇒ y = 4

Hence, the weight of peanuts in the mixture = 8 kg

The weight of corns in the given mixture = 4 kg

5 0

3 years ago

Which events are independent? Check all that apply.

Westkost [7]

Independent events are those events that do not affect each other in any way. Any change in one event will no have a corresponding change to the other one. Therefore, the independent events are:

<span>Roll a number cube, and then roll the same number cube again,
Flip a coin, and then flip the coin a second time.
Draw a card from a deck, replace it, and then draw a second card.</span>

6 0

4 years ago

Read 2 more answers

A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 10.4

vlabodo [156]

Answer:

Therefore the diameter of the hole is $1.94 \times 10^{-3}$ m.

Step-by-step explanation:

Bernoulli's equation,

$P_1+\frac12 \rho v^2_1+\rho g h_1= P_2+\frac12 \rho v^2_2+\rho g h_2$

P₁ = P₂= atmospheric presser

$\rho$ = density

$\frac12 \rho v^2_1+\rho g h_1= \frac12 \rho v^2_2+\rho g h_2$ [since P₁ = P₂]

$\Rightarrow\rho (\frac12 v^2_1+ g h_1)= \rho(\frac12 v^2_2+ g h_2)$

$\Rightarrow\frac12 v^2_1+ g h_1= \frac12 v^2_2+ g h_2$

$\Rightarrow\frac12 v^2_2-\frac12 v^2_1=g h_1- g h_2$

$\Rightarrow v^2_2- v^2_1=2g h$ [ $h_1-h_2=h$ ]

Here $v_1\approx 0$

$\Rightarrow v^2_2=2g h$

$\therefore v_2=\sqrt {2gh$

Here g= 9.8 m/s² , h = 10.4 m

The velocity of water that leaves from the hole $v_2$ = $\sqrt {2\times 9.8\times 10.4}$ m/s

=14.28 m/s.

Given, the rate of flow from the leak is $2.53\times 10^{-3}$ $m^3/min$

$=\frac{2.53\times 10^{-3}}{60}$ $m^3/s$

Let the diameter of the hole be d.

Then the cross section area of the hole is $=\pi (\frac d2)^2$

We know that,

The rate of flow = Cross section area × speed

$\Rightarrow \frac{2.53\times 10^{-3}}{60} =\pi (\frac d2)^2\times 14.28$

$\Rightarrow (\frac d2)^2=\frac{2.53\times 10^{-3}}{60\times 14.28\times \pi}$

$\Rightarrow d= 1.94 \times 10^{-3}$

Therefore the diameter of the hole is $1.94 \times 10^{-3}$ m.

4 0

4 years ago

5(x - 12) + 6 = 3(2x - 7)

LuckyWell [14K]

Step-by-step explanation:

First, distribute the outside numbers into the parentheses:

5*x+5*-12+6=3*2x+3*-7

5x-60+6=6x-21

Combine like terms

5x-54=6x-21

Add 21 to both sides

5x-33=6x

Subtract 5x from both sides

you wind up getting x=-33

x=-33

you can check to make sure that's the correct answer but simply plugging in -33 for x and checking to make sure both sides of the equation are equal:

-33-12=-45*5=-225+6=-219

-33*2=-66-7=-73*3=-219

So, yes, x equals -33

7 0

3 years ago

Read 2 more answers

5 peas equals 1 pod. 4 pods equals 1/2 ping. 3 pings equals how many peas? Please give me the full explanation so I can know for

salantis [7]

Answer:

120 peas in 3 pings

Step-by-step explanation:

(5x8)3

5 0

4 years ago