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dezoksy [38]
3 years ago
5

Taylor wants to paint his rectangular deck that is 31 feet long and 27 feet wide. A gallon of paint covers about 350 square feet

. How many gallons of paint will Taylor need to cover the entire deck? Round your answers to two decimal places when necessary.
Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

2.39

Step-by-step explanation:

31*27 = 837 divided by 350= 2.39142857143 round

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PLEASE HELP WITH ALGEBRA QUESTION NEED ASAP!!
Delvig [45]

Answer:

The function f(x) = ln(x - 4) is graphed the question options

Step-by-step explanation:

* Lets study the the information of the problem

- The graph of a logarithmic has a vertical asymptote at x=4

* That means the curve gets closer and closer to the vertical line x = 4

  but does not cross it

- It contains the point (e+4, 1)

* That means if we substitute x = e + 4 in the equation the value

 of y will be equal to 1

- It has an x-intercept of 5

* That means if we substitute y = 0 in the equation the value of x

  will be equal to 5

* Lets find the right answer

∵ f(x) = ln(x - 4)

* To find the equation of the asymptote let x - 4 = 0

∵ x - 4 = 0

∴ x = 4

∴ f(x) has a vertical asymptote at x = 4

* Lets check the point (e + 4 , 1) lies on the graph of the f(x)

∵ x = e + 4

∴ f(e+4) = ln(e + 4 - 4) = ln(e)

∵ ln(e) = 1

∴ The point (e+4 , 1) lies on the graph of the function f(x)

* To find the x-intercept put y = 0

∵ f(x) = 0

∴ ln(x - 4) = 0

* Change the logarithmic function to the exponential function

- The base of the ln is e

∴ e^0 = x - 4

∵ e^0 = 1

∴ x - 4 = 1 ⇒ add 4 to the both sides

∴ x = 5

* The function f(x) = ln(x - 4) is graphed the question options

3 0
3 years ago
Jessie claims that if any number is doubled and then increased by 1, the result will be greater than 4.
Kamila [148]

Answer:

n = 1

Step-by-step explanation:

1 x 2 = 2
2 + 1 = 3
3 < 4

hope this helps

3 0
1 year ago
A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere
SOVA2 [1]

Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

V=\pi r^2h

Substitute the given values.

48=\pi r^2r   (since r = h)

48=\pi r^3

48=3.14 \times r^3

Divide by 3.14 on both sides.

$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}

$15.28=r^3

Taking cube root on both sides, we get

2.48 = r

The radius of the cylinder is 2.48 cm.

Sphere and cylinder have same radius and height.

Volume of sphere:

$V=\frac{4}{3} \pi r^3

$V=\frac{4}{3} \times 3.14 \times (2.48)^3

V=63.85

The volume of the sphere is 63.85 cm³.

6 0
3 years ago
The graph of y=-5x^2 + 9 passes through (1,2a) in the standard (x,y) coordinate plane what is the value of a? .
ella [17]
First you plug everything in to get
2a=-5 (1)^2+9 you do the powers and multiply
2a=-5 (1)+9
2a=-5+9
2a=4
a=2
3 0
3 years ago
60 POINTS AND BRAINLIEST!!!!!
ser-zykov [4K]
SOLUTION:

3y - 24 = 237

3y = 237 + 24

3y = 261

y = 261 / 3

y = 87

Hope this helps! :)
Have a lovely day! <3
5 0
2 years ago
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