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2 years ago

Graph the inequality y<-2x+1

Mathematics

1 answer:

S_A_V [24]2 years ago

4 0

Relative easiness.
All we do is graph the line y=-3x+1 as a dotted line, and shade everything to the left of it

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A family uses 1,303 kWh of electric energy in a month. If the power company charges $0.08 per kilowatt hour, what is the total e

prisoha [69]

The total electric energy bill for the month is $\$104.24$

Solution: 

Given that

Electric energy consumed by family in a month = 1303 kWh

Power Company charges $\$0.08$ per kilowatt hour

Need to calculate total electric energy bill for the month.

Price of 1 kilowatt hour = $\$0.08$

$\text { Price of } 1303 \text { kilowatt hour }=1303 \text { x Price of } 1 \text { kilowatt hour }=1303 \times 0.08=\$ 104.24$

Total electric energy bill for the month = Price of Electric energy consumed by family in a month = Price of 1303 kilowatt hour = $\$104.24$

5 0

2 years ago

A bird catches a fish, flies 100 yards upward in a straight line, and then drops the fish. The fish lands at a spot that is 50 y

Marina CMI [18]

You can solve this using trigonometric functions.

The angle between the fish and the ground is
tan θ = 100 / 50
θ = tan-1 (2)
θ = 63.43°

The height of the bird before it dropped the fish is already given, which is 100 yards.

4 0

2 years ago

Evaluate the expression when x = 4 and y=-5. -5y+x

Maru [420]

Answer:

$29$

Step-by-step explanation:

Step 1: Set x to 4 and set y to -5

$-5y + x$

$-5(-5) + (4)$

$25 + 4$

$29$

Answer: $29$

8 0

2 years ago

Read 2 more answers

A 24.6 g marble sliding to the right at 62.0 cm/s overtakes and collides elastically with a 12.3 g marble moving in the same dir

Softa [21]

Answer:

Velocity of the 24.6 g marble is 31 cm/s.

Step-by-step explanation:

Given:

Marble 1:

Mass of the marble $(m_1)$ = 12.3 gm

Velocity of $m_1$ before collision $v_1_i$ = 15.5 cm/s

Velocity of $m_1$ after collision $v_1_f$ = 77.5 cm/s

Marble 2:

Mass of the marble $(m_2)$ = 24.6 gm

Velocity of $m_2$ before collision $v_2_i$ = 62 cm/s

Velocity of $m_2$ after collision $v_2_f$ = ?

From the law of conservation of momentum, we know that momentum before equals the momentum after :

So,

⇒ $P(i)=P(f)$

⇒ $(m_1\times v_1_i )+(m_2\times v_2_i) =(m_1\times v_1_f)+(m_2\times v_2_f)$

⇒ Plugging the values.

⇒ $(12.3\times 15.5) +(24.6\times 62)=(12.3\times 77.5)+(24.6\times v_2_f)$

⇒ $190.65+1525.2=953.25+24.6\times v_2_f$

⇒ $1715.85=953.25+24.6\times v_2_f$

⇒ $1715.85-953.25=24.6\times v_2_f$ ...subtracting both sides 953.25

⇒ $762.6=24.6\times v_2_f$

⇒ $\frac{762.6}{24.6}\ =v_2_f$ ...dividing both sides with 24.6

⇒ $31=v_2_f$

⇒ $v_2_f =31$ cm/s

The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.

6 0

2 years ago

2/3 of a cup of batter can make 5/6 of a batch of pancakes. How many cups of water are needed to make one batch of pancakes?

emmainna [20.7K]

Answer:

1 11/12 cups of water

8 0

1 year ago