3

Mathematics

1 answer:

solong [7]2 years ago

6 0

Answer:0.2 gallons and 1.6 pints

Step-by-step explanation:

1 gallon = 8 pint

1 gallon / 5=0.2 gallon

8 pint / 5=1.6 pint

You might be interested in

Write a recursive definition for the sequence 21,16,11,6

andrew11 [14]

Hello :
6-11=11-16=16-21=-5
 the sequence is arithmetic r=-5

a recursive definition is : an+1 = an -5

8 0

3 years ago

Bethany wants to estimate the value of (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14). Which statemen

avanturin [10]

Answer:

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = -3, and a number in scientific notation with a negative exponent is less than 1.

Step-by-step explanation:

The question lacks appropriate option. Find the options below;

A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.

B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.

C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.

Given the expression $(4.296*10^{11})(1.8614*10^{-14})$ , to expand the expression we will apply some of the law of indices below. If a, b and m are integers

$a^m*a^n = a^{a+m}$

$= (4.296*10^{11})(1.8614*10^{-14})\\\\= (4.296*1.8614)(10^{11}*10^{-14}) \\\\= 7.9965744 * 10^{11}*10^{-14}\\sum \ up \ the\ power\ of\ the \ exponents\\\\= 7.9965744 *10^{11-14}\\\\= 7.9965744 *10^{-3}\\$

= 0.0079965744

Based on the result, it can be seen that the resulting value is less than 1 due to the negative power of its exponent (i.e -3). Any scientific notation having a negative exponent always returns a value that is less than 1.

4 0

3 years ago

Read 2 more answers

Triangle DEF is similar to triangle ABC. What is the length of segment EF? (HINT use scale factor) (Leave answer as a fraction)

Karo-lina-s [1.5K]

We have been given two similar triangles. We are asked to find the length of segment EF.

We know that corresponding sides of similar triangles are proportional, so we will use proportion to solve our given problem.

$\frac{EF}{DF}=\frac{BC}{AC}$