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pshichka [43]
3 years ago
10

What two numbers add up to 5 but multiply to get -4.

Mathematics
2 answers:
maksim [4K]3 years ago
5 0

Answer:

1 and 4

Step-by-step explanation:

Lady_Fox [76]3 years ago
5 0
1 and 4 bc that’s big brain
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Determine the first four terms of the sequence in which the nth term is a_n=(n+1)!/(n+2)!
Vilka [71]

Answer: Choice B) 1/3, 1/4, 1/5, 1/6

=============================================

Plug in n = 1 to find the first term

a_n = ( (n+1)! )/( (n+2)! )

a_1 = ( (1+1)! )/( (1+2)! )

a_1 = ( 2! )/( 3! )

a_1 = ( 2*1 )/( 3*2*1 )

a_1 = 2/6

a_1 = 1/3

The first term is 1/3. Optionally you can stop here because only choice B has 1/3 listed as the first term, so this must be the answer. However, I'm going to keep going to show how to find the three other terms. This will help confirm why choice B is the answer, and it will be handy for those times when you aren't given multiple choice answers.

------------

Plug in n = 2

a_n = ( (n+1)! )/( (n+2)! )

a_2 = ( (2+1)! )/( (2+2)! )

a_2 = ( 3! )/( 4! )

a_2 = ( 3*2*1 )/( 4*3*2*1 )

a_2 = 6/24

a_2 = 1/4

The second term is 1/4

------------

Plug in n = 3

a_n = ( (n+1)! )/( (n+2)! )

a_3 = ( (3+1)! )/( (3+2)! )

a_3 = ( 4! )/( 5! )

a_3 = ( 4*3*2*1 )/( 5*4*3*2*1 )

a_3 = 24/120

a_3 = 1/5

The third term is 1/5

------------

Plug in n = 4

a_n = ( (n+1)! )/( (n+2)! )

a_4 = ( (4+1)! )/( (4+2)! )

a_4 = ( 5! )/( 6! )

a_4 = ( 5*4*3*2*1 )/( 6*5*4*3*2*1 )

a_4 = 120/720

a_4 = 1/6

The fourth term is 1/6

------------

The first four terms are: 1/3, 1/4, 1/5, 1/6, so that confirms why choice B is the answer.

4 0
3 years ago
What's $9.79+7% tax?
jeka94
\$9.79+7\%\ tax = \$9.79+7\%\cdot \$9.79= \$9.79+0.07\cdot \$9.79=\\\\=\$9.79+\$0.6853=\$10.4753\approx\$10.48
5 0
4 years ago
If p(x)=x2-1 and q(x)=5(x-1 which expression is equivalent to (p-q)(x)
Veseljchak [2.6K]

p(x)=x^2-1\\\\q(x)=5(x-1)\\\\(p-q)(x)=p(x)-q(x)=(x^2-1)-5(x-1)



Answer: (x2 - 1) - 5(x - 1)

7 0
3 years ago
Someone pls help me‼️
Mademuasel [1]

Step-by-step explanation:

to find area of quarter circle---

= πr²×1/4

= 22/7×8×8×1/4

= 50.28

hope this helps:)♥

7 0
3 years ago
a zoo is building a new giraffe exhibit and needs to fence an outdoor triangular​ area, with the barn forming one side of the tr
konstantin123 [22]

Answer:

Yes, the zoo needs to order more fencing. The zoo has 54 ft of fence remaining for the unknown side.

If the unknown side is assumed to have this length, sin (θ) = 1.2857. which is not possible, so the triangle cannot be formed.

Step-by-step explanation:

Let a be the length of the third side of the triangle.

a = 127 - 73 = 54 ft

Let the angle that a makes with the barn be θ

The diagram of this question is attached to this solution.

Using the sine rule, we can examine if the remaining fencing material would be enough by checking if (sin θ) is realistic.

Using sine rule,

[a/(sin 72°)] = [73/(sin θ)]

[54/sin 72°] = [73/sin θ]

sin θ = (73 × sin 72°)/54 = 1.2857

sin θ = 1.2857

This is obviously not a realistic value for sin θ since it is known that sin θ ranges between 0 and 1.

The 54 ft is obviously not enough.

Hence, the zoo needs more fencing material to be able to complete the outdoor triangular giraffe exhibit.

Hope this Helps!!!

5 0
4 years ago
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