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3 years ago

Is this true or false? The following graph represents a proportional relationship:

Mathematics

2 answers:

Natasha2012 [34]3 years ago

4 0

True

The line has to start by 0 and keep going up

motikmotik3 years ago

3 0

Answer:

true

Step-by-step explanation:

when one goes up, the other goes up. That is proportional

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Which property is shown by -6+0=-6?

Rashid [163]

B. Identity Property of Addition

The Identity Property of Addition states that the sum of any number and zero will always be the first number. So -6 + 0 = -6 shows the Identity Property of Addition.

8 0

3 years ago

The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

6 0

3 years ago

3x+5(2+x)=4x-7 help me out here?

Oksi-84 [34.3K]

Answer:

x = -17/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

[Distributive Property] Distribute 5: 3x + 10 + 5x = 4x - 7
[Addition] Combine like terms: 8x + 10 = 4x - 7
[Subtraction Property of Equality] Subtract 4x on both sides: 4x + 10 = -7
[Subtraction Property of Equality] Subtract 10 on both sides: 4x = -17
[Division Property of Equality] Divide 4 on both sides: x = -17/4

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME I ONLY HAVE 20 MINUTES!!!!

Over [174]

$h(x) = 40x - 16x^2\\h(x) = 15\\40x - 16x^2 = 15\\-16x^2 + 40x - 15 = 0\\$

Using the quadratic formula we get

$x_1 = 0.5\\x_2 = 2.04$

Therefore the tennis ball is at least 15 feet above the ground from 0.5 seconds to 2.04 seconds

7 0

3 years ago

Potatoes are 50p a pound . how much for 24oz

Tems11 [23]

Answer:

25p

Step-by-step explanation:

IM NOT SURE IF ITS RIGHT BUT THAT WHAT I THINK. HAVE A NICE DAY!

8 0

3 years ago

Read 2 more answers