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3 years ago

The function g is defined by the following rule g(x)=4x-5

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer: 5/4, or 1.25

Step-by-step explanation:

To solve, get a variable on one side. First, add 5 on both sides.

g(x) = 4x-5+5

Next, divide by four.

5/4 = 4x/4

Now, solve.

5/4, or 1.25 = x

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A day can be evenly divided into 86,400 periods of 1 second; 43,200 periods of each 2 seconds; or in many other ways. In total,

Leni [432]

Answer:

96 ways

Step-by-step explanation:

Given

$Day = 86400\ seconds$

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

$86400/2 = 43200$

$43200/2=21600$

$21600/2=10800$

$10800/2=5400$

$5400/2= 2700$

$2700/2 = 1350$

$1350/2=675$

$675/3=225$

$225/3=75$

$75/3=25$

$25/5=5$

$5/5 = 1$

This implies that:

$86400 = 2^7 * 3^3 * 5^2$

The number of factors d is the solved by:

$d = (a+1)*(b+1) *(c+1)$

Where

$n = 2^a * 3^b * 5^c$

By comparison:

$a = 7$

$b = 3$

$c=2$

So:

$d = (7+1)*(3+1) *(2+1)$

$d = 8*4 *3$

$d = 96$

Hence, there are 96 total ways

7 0

3 years ago

Which is bigger 3/8 or 0.3

Luba_88 [7]

$\frac{3}{8} \\
0.3=\frac{3}{10}$

If two fractions have the same numerator, the fraction with the smaller denominator is bigger.
$8\ \textless \ 10 \Rightarrow \frac{3}{8} \ \textgreater \ \frac{3}{10}$

3/8 is bigger.

3 0

3 years ago

Read 2 more answers

A slice is made parallel to the base of a square pyramid.

Ivanshal [37]

Answer:

a) Triangle.

b) Triangle.

c) The area is 110 cm.

Step-by-step explanation:

The shape is given because it is a cross section of a Pyramid which we can see shaded in grey.

The area is given by the base times hight devided by 2. So 10cm * 22cm/2= 110cm.

Hope this helped ;)

6 0

3 years ago

Hannah paid $3.20 for 16 ounces of potato chips. Hank paid $3.23 for 17 ounces of potato chips. Who paid less per ounces?

zzz [600]

Answer:

Hank did. He only paid 3 more cents for 17 ounces so it must be Hank.

8 0

3 years ago

On monday five students make up a rumor. on each of the next two days, every student that knows the rumor tells five other stude

Travka [436]

Answer: 5¹ + 5² + 5³, 130 students

Step-by-step explanation:

Monday: 1 1 1 1 1 = 5 ⇒ 5¹

+ Tuesday: 1(5) 1(5) 1(5) 1(5) 1(5) = + 25 ⇒ 5²

+ Wednesday:5(5) 5(5) 5(5) 5(5) 5(5) = +125 ⇒ 5³

130

Extra Credit: How many students will know the rumor on Thursday? 5¹ + 5² + 5³ + 5⁴

8 0

3 years ago