Let A = {15, 25, 35, 45, 55, 65} and B = {25, 45, 65}. What is A n B?

On a subway route, station C is located at the midpoint between stations A and D. Station B is located at the midpoint between s

Finger [1]

The distance between C and A/D is 1,2 km. The distance between B and A/C is 0,6. It's in this order: A 0,6 km B 0,6 km C 1,2km D so the distance between B and D is 0,6 + 1,2 = 1,8 km

6 0

3 years ago

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Solve for x<br><br> THANK YOU

Nadusha1986 [10]

Answer:

x=-31/18

Step-by-step explanation:

8 0

2 years ago

A small airplane can hold 44 passengers.fifteen passengers board the plane a. Identify an inequality that represents the additio

iris [78.8K]

Answers:

Inequality is $15 + p \le 44$

Choice A) 30 more passengers cannot board the plane. Only 29 more passengers can board the plane

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Explanation:

15 people are already on the plane.

p is a placeholder for a positive whole number representing the additional number of people that can get on the plane.

In total, the plane holds 15+p individuals.

This expression's largest possible value is 44. Think of it as the ceiling. In terms of math, we call it the maximum. Since at most 44 people can be on the plane, this means the inequality we'll set up is $15+p \le 44$

This says "15+p is less than or equal to 44". It's the same as saying "15+p is 44 or smaller".

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To isolate p, we subtract 15 from both sides

Doing so leads to...

$15+p \le 44\\\\15+p-15 \le 44-15\\\\p \le 29$

We can see that the largest p can get is 29, meaning that at most 29 more people can board the plane. There's no way that 30 people can board. That unfortunate 30-29 = 1 person must wait for another plane.

This all shows why choice A is the answer.

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As a way to check the answer, we can note how p = 29 leads to 15+p = 15+29 = 44. We've filled the plane to full capacity.

If p = 30, then 15+p = 15+30 = 45, and we've gone 1 seat overboard.

8 0

3 years ago

5. George usually hits 5

bazaltina [42]

Answer:64

Step-by-step explanation:

7 0

3 years ago

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When numbers are very small or very large, it is convenient to either express the value in scientific notation and/or by using a

finlep [7]

$\boxed{ \ 5.0 \times 10^{-3} \ grams \rightarrow 5.0 \ milligrams \ }$

<h3>Further explanation </h3>

Scientific notation represents the precise way scientists handle exceptionally abundant digits or extremely inadequate numbers in the product of a decimal form of number and powers of ten.

Put differently, such numbers can be rewritten as a simple number multiplied by 10 raised to a certain exponent or power. It is a system for expressing extremely broad or exceedingly narrow digits compactly.

Scientific notation should be in the form of

$\boxed{ \ a \times 10^n \ }$

where

$\boxed{ \ 1 \leq a \ < 10 \ }$

The number "a" is called "mantissa" and the exponent "n" the order of magnitude.

The exponent tells about the size of the number.

A positive exponent indicates a number greater than or equal to 1.
A negative exponent indicates a number between 0 and 1.

From the key questions asked, we face the standard form of 0.005 grams which will be converted into scientific notation.

$0.005 = \frac{5}{1,000}$

The coefficient (or mantissa) is 5, which has fulfilled the interval 1 ≤ a < 10.
The denominator consists precisely of three zero digits.

Hence, 0.005 grams is written in scientific notation as $\boxed{ \ 5.0 \times 10^{-3} \ grams \ }$

Because 1 milligrams is equal to 10^{- 3} grams, then

$5.0 \times 10^{-3} \ grams \times \frac{1 \ milligrams}{10^{-3} \ grams}$

Hence, 0,005 grams is 5.0 milligrams.

In science, we frequently must deal with extremely small or incredibly large quantities. For a typical example, one of the recognized limitations of the microwave frequency is 300,000,000 Hz with a photon energy of 0.00000124 eV. They with many zeros can be impractical to work with, so scientists properly implement scientific notation.

The inverse of scientific notation is the standard form. To promptly change scientific notation into standard form, we reverse the process, move the decimal point to the right or left. This expanded form is called the standard form.

$\boxed{ \ 3.0 \times 10^{8} \ Hz \ \rightarrow 300,000,000 \ Hz \ or \ 300 \ MHz \ }$

$\boxed{ \ 0.00000124 \ eV \ \rightarrow 1.24 \times 10^{-6} \ eV \ or \ 1.24 \ \mu eV \ }$

<h3>Learn more</h3>

How is 0.00069 written in scientific notation? brainly.com/question/7263463
How to explain 3,482,000,000 in scientific notation brainly.com/question/231855
Convert the number expressed in standard form to scientific notation brainly.com/question/10436883

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5 0

3 years ago