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andrezito [222]
3 years ago
13

An item is regularly priced at$75 . Chang bought it on sale for 15%off the regular price

Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0
Answer:

$63.75

Step-By-Step:

Part = % • Whole
Part = 15% • 75
Part = 63.75

Final Equation:

63.75 = 15% • 75

( 15% off of $75 is $63.75 )
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In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati
Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

h=-16t^2+55t+4

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

40=-16t^2+55t+4

-16t^2+55t+4-40=0

-16t^2+55t-36=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+55t-36=0

so

a=-16\\b=55\\c=-36

substitute in the formula

x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}

x=\frac{-55\pm\sqrt{721}} {-32}

x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec

x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

3 0
3 years ago
Jamal hiked on two trails.The first trail was 5 1/3 miles long,and the second trail was 1 3/4 times as long as the first trail.H
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The answer Is 9 1/3.
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Look at the following number sequence. 3, 7, 11, 15, . . . Based on the pattern, what are the next two terms?
viva [34]
So, if we look at the number pattern, we can see the numbers go up by 4.

The rule is Add 4.

So, to find the next two terms, we would add 4 to the last number shown, which is 15.

15 + 4 = 19

19 + 4 = 23

So, the next two terms are →19←
 and →23←.

Glad I could help, and good luck!

AnonymousGiantsFan
5 0
2 years ago
Read 2 more answers
What is the length of the blue in the circle<br> o below
iVinArrow [24]

Answer:

Option D. 8.53 units

Step-by-step explanation:

we know that

The triangle OAB is congruent with the triangle OCD

because

OA=OB=OC=OD=radius circle O

AB=CD

therefore

The height of both triangles is equal to 8.53 units

The segment blue is equal to 8.53 units

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3 years ago
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