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3 years ago

Solve. Write your answer in the simplest form using integers, fractions, and natural logarithms. 9=ex

Mathematics

1 answer:

Tanya [424]3 years ago

4 0

Answer:

x = ln9

Step-by-step explanation:

Using the rule of logarithms

log $x^{n}$ = nlogx , lne = 1

Given

$e^{x}$ = 9 ( take the ln of both sides )

ln $e^{x}$ = ln9, thus

xlne = ln9, that is

x = ln9

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A projector displays an image on a wall. the area(in square feet) of the rectangular projection can be represented by

andrew-mc [135]

Answer:

The height of the projection will be (x - 5) feet.

Step-by-step explanation:

A projector displays an image on a wall. The area (in square feet) of the rectangular projection can be represented by (x² - 8x + 15).

Now to get the width and the height of the rectangular projection we have to factorize the expression (x² - 8x + 15).

Here, (x² - 8x + 15)

= x² - 3x - 5x + 15

= (x- 3)(x - 5)

Now, if the height of the projection is less than its width then, the height of the projection will be (x - 5) feet. (Answer)

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3 years ago

The amount of time it takes to see a doctor a CPT-Memorial is normally distributed with a mean of 33 minutes and a standard devi

Eva8 [605]

Answer:

a) Z-score = 0.75

b) Z-score = -32.833

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 33

Given a standard deviation of the Population = 12

Let 'X' be a random variable in a normal distribution

Let 'X' = 42

Step(ii):-

$Z = \frac{x-mean}{S.D}$

$Z = \frac{42-33}{12} = 0.75$

Step(iii):-

Given that mean of the Population = 89

Given a standard deviation of the Population = 1

Let 'X' be a random variable in a normal distribution

Let 'X⁻ = 82

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{82-89}{\frac{1}{\sqrt{22} } } = -32.833$

Z-score = -32.833

7 0

3 years ago

90 juniors took different SAT-II tests. 40% more students took the Chemistry test than took the History test, and 50% more stude

erastovalidia [21]

Answer:

Step-by-step explanation:

4.5x=90

x=20 history

28 chemistry

42 math

They add to 90.

History test=x

Chemistry test=1.4x

Math test=(1.5)(1.4)=2.1x

They add to 90

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3 years ago

kai pixked 11 times as many blueberries as nico. . together they picked 936. hiw many blueberries did each boy pick?

Masja [62]

N = how many blueberries Nico picked
11n = how many blueberries Kai picked

11n + n = 936
12n = 936
n = 78

11 (78) = 858 blueberries

Nico picked 78 and Kai picked 858

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