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pychu [463]
3 years ago
5

Which statement is true about the product of a non-zero rational number and an irrational number? A) The product of a non-zero r

ational number and an irrational number is always a rational number. B) The product of a non-zero rational number and an irrational number is never an irrational number. C) The product of a non-zero rational number and an irrational number is sometimes a rational number. Eliminate D) The product of a non-zero rational number and an irrational number is always an irrational number.
Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

The answer is D.  A non-zero rational number multiplied by an irrational number is always an irrational number.  This link might help:  http://www.cpalms.org/Public/PreviewResourceAssessment/Preview/70477

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Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5. 1 point
sweet [91]

Answer:

y = - 140

Step-by-step explanation:

The statement

y varies jointly as x & z is written as

<h3>y = kxz </h3>

to find y when x = 7 and z = -5 we must first find the relationship between the variables

when y = - 180

z = 15

x = - 3

- 180 = k(15)(-3)

-180 = - 45k

Divide both sides by - 45

k = 4

The formula for the variation is

<h2>y = 4xz</h2>

when

x = 7

z = -5

y = 4(7)(-5)

y = 4(-35)

<h3>y = - 140</h3>

Hope this helps you

7 0
4 years ago
(7 * 10-5) (5 x 10-) =<br><br>x 10​
blagie [28]

Have you learned PEMDAS? (Parenthesis, exponents, multiplication, division, addition, subtraction). That is what I am going to do here.

The first parenthesis, let's solve. 7*10=70-5=65

The second parentheisis: I am assuming the negative sign is a typo, and this answer will be off if it is not. Sorry. 5*10=50

65*50=3250

I hope this helps, and let me know if you need further assistance.

8 0
4 years ago
Evaluate the expression 3^-3×3^-2<br>show work​
vekshin1

Answer:

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Step-by-step explanation:

hope this helps

8 0
2 years ago
Judith delivered 32 containers of filtered water to a local village. Each container held 43 gallons. The village people poured a
Anettt [7]
86 I think, if it is divided by 2
8 0
3 years ago
What is the 37th term of the arithmetic sequence with the first term -39 and the common difference of 8.
Mrrafil [7]

Answer:

a_{37}=249

Step-by-step explanation:

A sequence that has a common difference is an <em>arithmetic sequence</em>:

a_n=a_1+(n-1)d

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

  • n = 37
  • a₁ = -39
  • d = 8

Plug those into the formula:

a_{37}=-39+(37-1)8

Then solve:

a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249

8 0
3 years ago
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