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aleksklad [387]

3 years ago

6

Write an expression equivalent to -12/27 (it is a fraction)

1 answer:

rusak2 [61]3 years ago

6 0

-4/9 is simplified of -12/27

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indictate which of the following are propositions.For the ones which are propositions, determine the truth value.(a) The integer

Semmy [17]

Answer:

Step-by-step explanation:

When we propose an hypothesis, it is either true or false. The same goes for a proposition.

The required objective here is to determine the truth value in the following proposition.

(a) The integer 24 is prime.

(b) Is the integer 315 even?

(c) The sum of 3 and 4 is 12.

(d) -4 ∈ Ζ

From the first option:

(a) The integer 24 is prime.

The sentence is a proposition but the truth value is FALSE because a prime number is a number that can only be divide by 1 and itself but in the case of 24, Its factors include 1,2,3,4,6,8,12 and 24 which make 24 to falsify the proposition of being a prime number.

(b) Is the integer 315 even?

This option is not a proposition but rather a question since it has a question mark, however, 315 is an odd number since it is not divisible by 2.

( c) The sum of 3 and 4 is 12.

This is a proposition and the truth value is FALSE

The sum of 3+4 = 7 ; Hence; 7 ≠ 12

(d) -4 ∈ Ζ

This is a proposition and the truth value is TRUE.

-4 ∈ Ζ is read as ( minus four is an integer (∈) of Z )

Yes, this is a proposition and its Truth value is TRUE , since minus four is an integer (∈) of Z

6 0

3 years ago

Simplify 2x+y-3^3+1/2=

tatiyna

The answer is 2x + y - 53/2

7 0

3 years ago

7z2 5z4 d3 d8<br> I don't know how you are supposed to do it?

Serga [27]

Answer:

$35 {z}^{6} {d}^{11}$

Step-by-step explanation:

Assuming you are supposed to simplify:

$7 {z}^{2} \times 5 {z}^{4} \times {d}^{3} \times {d}^{8}$

Then we need to apply the product rule of indices.

${a}^{m} \times {a}^{n} = {a}^{m + n}$

So we multiply to get:

$35 {z}^{2 + 4} \times {d}^{3 + 8}$

We now simplify the exponents to get:

$35 {z}^{6} \times {d}^{11}$

Therefore the required product is

$35 {z}^{6} {d}^{11}$

3 0

3 years ago

Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, wh

Elanso [62]

Answer:

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

Step-by-step explanation:

we know that

The dimensions of the garden in the actual are 10 ft by 5 ft

The dimensions of the garden on the scale drawing are 12 in. by 6 in

step 1

Find the scale factor

To find the scale factor divide the corresponding side on the scale drawing by the corresponding side in the actual

so

$\frac{12}{10}\ \frac{in}{ft}$

simplify

$1.2\ \frac{in}{ft}$

That means

1.2 inches in the drawing represent 1 foot in the actual

step 2

Find out the dimensions of the herb garden on the scale drawing

we know that

The dimensions of the herb garden in the actual are 2 ft by 5 ft

Multiply by the scale factor

so

$2\ ft=2(1.2)=2.4\ in$

$5\ ft=5(1.2)=6\ in$

therefore

The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in

5 0

3 years ago

Which number is closest to V65 A. 8 B. 9 C. 32 D.64

Minchanka [31]

The number closest to 65 is 8. (61 square is 8)

3 0

3 years ago

Read 2 more answers