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3 years ago

What are the steps to solving this limit?

Mathematics

2 answers:

patriot [66]3 years ago

6 0

Answer:

lim(x---->0) = -5

Step-by-step explanation:

first: sin(x-π/2)= -cosx

so the equation will be :

lim(x---->0) = [-6cos(ax)-1}/cosx

solve :

lim(x---->0) = [-(6cos(a(0))-1}/cos(0)

cos0=1

lim(x---->0)=(-(6(1)-1)/1

lim(x---->0)=-6+1/1

lim(x---->0)=-5

Aleks [24]3 years ago

5 0

-5 I hope this helps u

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Three friends owe $18 to another friend for gas. If they plan to split the cost evenly, which of the following expressions could

Delvig [45]

The first one.. 18/3 is the answer

5 0

3 years ago

A piece of wood is cut into 3 pieces in the ratio 5:4:3 if the length of the shortest piece is 2 how long is the wood

Bad White [126]

Answer:

Step-by-step explanation:

5:4:3 = x:y:2

4:3 = y:2 Cross multiply

3y = 8 Divide by 3

y = 8/3 = 2.66'

5/x = 3/2

3x = 10 Divide by 3

x = 10/3

x = 3.33

Length of the wood = 2.66 + 3.33 + 2

Length of the wood = 8 feet

8 0

3 years ago

Car mart pays $110,000 rent each year for its two-story building. the space in this building is occupied by five departments as

Anvisha [2.4K]

First floor:

paint department 1,575 square feet

space engine department 2,925 square feet

Total = 4,500 square feet

Second floor:

space window department 1,845 square feet

electrical department 765 square feet

accessory department 1,890 square feet

Total = 4,500 square feet

Since 70% is allocated to the 1st floor, therefore the floor is receiving:

First floor expense = $110,000 * 0.70 = $77,000

Second floor expense = $110,000 - $77,000 = $33,000

The expense for each department is the proportion on the total expense per floor.

First floor:

paint department = (1575/4500) * 77,000 = $26,950

space engine department = 77,000 – 26,950 = $50,050

Second floor:

space window department = (1845/4500) * 33,000 = $13,530

electrical department = (765/4500) * 33,000 = $5,610

accessory department = 33,000 – 13530 – 5610 = $13,860

6 0

3 years ago

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $3.94 (U

tekilochka [14]

Answer:

a) 25

b) 49

c) 97

Step-by-step explanation:

The sample size is calculated using the formula, n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

Now,

for 95% confidence level value of z-factor = 1.96

Given:

Mean = $3.94

standard deviation = $0.25

thus,

a) for margin of error = $0.10

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

n = $(\frac{0.25\times1.96}{\textup{0.10}})^2$

n = 4.9²

n = 24.01 ≈ 25 (Rounded off to next integer)

b) for margin of error = $0.07

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

n = $(\frac{0.25\times1.96}{\textup{0.07}})^2$

n = 7²

n = 49

c) for margin of error = $0.05

n = $(\frac{\sigma\times z}{\textup{Margin of error}})^2$

n = $(\frac{0.25\times1.96}{\textup{0.05}})^2$

n = 9.8²

n = 96.04 ≈ 97 (Rounded off to next integer)

6 0

3 years ago

the water level in a full water tank changes by the same amount each day when the tank gets a leak. the total change in the wate

vovangra [49]

it lost 128 gallons in 16 days so divide 128 by 16 to find the daily lost

128/16 = 8 gallons a day were lost

5 0

4 years ago

Read 2 more answers