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3 years ago

Order number from least to greates 9/5 -2.5 -1.1 -4/5 0.8

Mathematics

1 answer:

Brut [27]3 years ago

5 0

Answer:

Step-by-step explanation:

Start by writing these five numbers in just one format (improper fractions with denominator 10):

9/5 = 18/10, and

-2.5 = -25/10, and

-1.1 = -11/10, and

-4/5 = -8/10, and, finally

0.8 = 8/10

The smallest of these (the least) is -25/10, and

the largest is 18/10.

Arranged in ascending order, we have:

-25/10, -11/10, -8/10, 8/10, 18/10, or

-2.5, -1.1, -4/5, 0.8, 9/5

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Stella [2.4K]

Answer:

8^2+x + 2^ 3x = 32^ 1/2

2^3(2+x) + 2^3x = 2^5^1/2

All two's will cancel out

3(2+x) + 3x = 5^1/2

6+3x + 3x = 5^1/2

6 +6x = 2.23

6x = 2.23 - 6

6x = -3.77

x = -3.77÷ 6

x = -0.63

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3 years ago

A shop sells stuffed animals. The sales team calculated that today's bear sales were 5 more than 5/4ths the number of all

slega [8]

Answer:

Step-by-step explanation:

25-5=20, 5/4*20=25

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3 years ago

1. Which function represents exponential decay?

MatroZZZ [7]

Answer:

y= 7^-t

Step-by-step explanation:

Equation for exponential decay:

An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.

In this question:

First option 4 is elevated, so not exponential decay.

Second option:

$7^{-t} = \frac{1}{7^t} = (\frac{1}{7})^{t}$

$0 < \frac{1}{7} < 1$ , thus, the second option represents exponential decay.

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3 years ago

Geometry question for homework.

mars1129 [50]

So remember that the distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

$\sqrt{(4-4)^2+(-2-(-5))^2}\\ \sqrt{0^2+3^2}\\ \sqrt{0+9}\\ \sqrt{9}\\ 3$

Distance between (4,-5) and (4,-2) is 3 units.

$\sqrt{(1-(-1))^2+(1-4)^2}\\ \sqrt{2^2+(-3)^2}\\ \sqrt{4+9}\\ \sqrt{13}$

Distance between (1,1) and (-1,4) is √13 (or 3.61 rounded to the hundreths) units.

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3 years ago

Type the correct answer in each box. (____)

trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8) mm

V = 1024π mm³

Calculations:

1. Find the cubic equation

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²

1024 = x(x² - 16x + 64)

1024 = x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the rational roots theorem, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1 -16 64 -1024

| 16 0 1024

1 0 64 0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0 x² + 64 = 0

x = 16 x² = -64

x = ±8i

There is only one real root: x = 16 mm

6 0

3 years ago

Order number from least to greates 9/5 -2.5 -1.1 -4/5 0.8 ​

Order number from least to greates 9/5 -2.5 -1.1 -4/5 0.8