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goldfiish [28.3K]
3 years ago
8

1/4 | x + 2 | + 7 = 5

Mathematics
1 answer:
Katarina [22]3 years ago
7 0
Hope this is the correct answer! :)

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The opposite of cubing is?
Ber [7]

Answer:

cube rooting?

Step-by-step explanation:

like the cubed root of something

5 0
3 years ago
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The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre
Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : a=-2

Common difference : d = 5 - (-2)

                                      = 5 + 2

                                      = 7

nth term of an A.P. is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_n=-2+(n-1)(7)

According to the equation, a_n>200.

-2+(n-1)(7)>200

(n-1)(7)>200+2

(n-1)(7)>202

Divide both sides by 7.

(n-1)>28.857

Add 1 on both sides.

n>29.857

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Substituting n=30, a=-2 and d=7, we get

S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]

S_{30}=15[-4+(29)7]

S_{30}=15[-4+203]

S_{30}=15(199)

S_{30}=2985

Therefore, the sum of all the terms in the progression is 2985.

6 0
3 years ago
Simplify (ignore my garbage camera quality ....)
monitta

Answer:

C. 3

Step-by-step explanation:

Given expression is:

({3^{\frac{1}{7}})^7

We know that the rules of exponents are used to solve these kind of questions.

When there is exponent on exponent like in this question 1/7 has an exponent of 7 , the exponents are multiplied.

So,

=3^{(7*\frac{1}{7} )}

The 7's will be cancelled out and remaining power will be 1

=3^1\\=3

Hence, option C is correct ..

5 0
3 years ago
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In a company, 37‰ of the 1500 employees are female. how many are male?
Mashcka [7]

Answer:

945 males

Step-by-step explanation:

1500*37/100= 555 female

1500-555 = 945 male

Because 1500 is the total number so it is eual a 100% and you do the cross multiply. You will get 555 for female. And you use the total to subtract female employees and you will get male employees number.

7 0
3 years ago
Simplify fractions 25 z to 2nd power over 150 z to 3rd power
Darina [25.2K]

Answer:

1/6z.

Step-by-step explanation:

25z^2 / 150z^3

25 divides 6 times into 150 and z^3 / z^2 = z

so the answer is 1/6z.

6 0
2 years ago
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