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Molodets [167]
3 years ago
8

A chapter begins on page 114 and ends on page 859. How many pages are in the chapter?

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
8 0
859-114=745 this the the number of pages
Usimov [2.4K]3 years ago
3 0
745, because u need to subtract both to find pages isolated
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How much money will Gregg need to save in order to buy a video game for $40 if the sales tax is 8%?
Softa [21]
It would most like be $43 with tax if I’m not mistaken
8 0
3 years ago
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Show whether or not y=x+3 is tangential to the curve y^2=x​
wolverine [178]

The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.

y² = x

Take the derivative of both sides with respect to x, assuming y = y(x) :

2y dy/dx = 1

dy/dx = 1/(2y)

Solve for y when dy/dx = 1 :

1 = 1/(2y)

2y = 1

y = 1/2

When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.

This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :

x = y²   ⇒   y = y² + 3   ⇒   y² - y + 3 = 0

has no real solution for y.

3 0
2 years ago
June starts a savings account and puts $1,500 in it. She ears a compound interest of 3% in 3 years. How much is the balance?
MrMuchimi

Answer:

$1,635

Step-by-step explanation:

she makes $45 a year so if you multiply that by 3 you get $135

6 0
3 years ago
the ratio of the length of a rectangle to its width is 8 to 5. if the longer side of the rectangle is 20 ft, what is the length
expeople1 [14]
8/5 = 20/x
8x = 20(5)
8x = 100
x = 12.5

answer
<span>length of its shorter side = 12.5 ft</span>
8 0
3 years ago
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Hospital records show that a certain surgical procedure takes on an average 111.6 minutes with a standard deviation of 2.8 minut
Arisa [49]

Answer:

At least 37.74% of the procedures takes between 97.6 and 125.6 minutes

Step-by-step explanation:

The percentage is the area of the standard normal distribution curve between the values 97.6 and 125.6

The standard normal variate of the given data is found as

Z=\frac{X-\overline{X}}{\sigma }

Thus for the given values Z is calculated as under

Z_1=\frac{97.6-111.6}{2.8}=-5

Similarly for the other value we have

Z_2=\frac{125.6-111.6}{2.8}=5

Thus the area between the calculated values can be found from standard normal distribution table to be 37.74%

8 0
3 years ago
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