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3 years ago

Simplify the algebraic expression -5(6x)

Mathematics

1 answer:

WINSTONCH [101]3 years ago

5 0

Answer:

-30x

Step-by-step explanation:

The parenthesis is just to multiply, and you can combine like terms. So -5*6=-30, which you multiply with x to get -30x.

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A field is to be fertilized at a cost of $0.08 per square yard. The rectangular part of the field is 95 yards long and the diame

dem82 [27]

this gives
total area of the field = 4655 sqyrd + 1884.79 sqyrd = 6539.79 sqyrd
cost of fertilising 1 sqyrd = $ 0.08
so cost of fertilising 6539.79 sqyrd = 6539.79 * $ 0.08 = $ 523.18

6 0

3 years ago

Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago

True or false the perimeter log also known as the crime scene entry log , is a list of the photos taken at the crime scene

Monica [59]

Answer:

true

Step-by-step explanation:

Its so they can remember what info they already have

6 0

2 years ago

Read 2 more answers

A classroom has 3 rows of desks. There are 5 desks in each row. How many desks are there altogether?

kicyunya [14]

The answer is 15 because you multiply 5×3=15

4 0

3 years ago

Read 2 more answers

A and B are two events.

Burka [1]

Answer:

Not independent.

Step-by-step explanation:

Given that P(A)=0.25 , P(B)=0.2 , and P(A and B)=0.04

To check whether A and B are independent.

Two events are independent if

P(A/B) = P(A) or P(B/A) = P(B) or P(AB) = P(A) P(B)

if any one of the above three is true also, the two events would be independent.

Let us find out first one

P(A/B ) = P(AB)/P(B) (as per conditional probability formula)

= 0.04/0.2=0.2

But P(A) = 0.25 and not equals P(A/B)

Hence we can conclude that A and B are not independent

because P(A/B) not equals P(A)

6 0

3 years ago