What's 5/6 of a gallon?

Convert 1/9 into a decimal

sattari [20]

$\frac{1}{9} = 0.11$

Move the decimal two places to the left.

5 0

3 years ago

Read 2 more answers

Write an equivalent expression for 4(x + 7) – 9

Igoryamba

Look at the attached picture⤴

Hope it will help u...

4 0

4 years ago

Question 1(Multiple Choice Worth 2 points) Find the derivative of f(x) = 7 divided by x at x = 1.

WITCHER [35]

1. Answer: a. -7

Step-by-step explanation:

$f(x)=\dfrac{7}{x}\implies f(x)=7x^{-1}\\\\f'(x)=-1\cdot 7x^{-1-1}\\.\qquad =-7x^{-2}\\\\.\qquad =-\dfrac{7}{x^2}\\\\f'(1)=-\dfrac{7}{1^2}\\\\.\qquad =\large\boxed{-7}$

2. Answer: a. 4

Step-by-step explanation:

$f(x)=4x+7\\f'(x)=1\cdot4x^{1-1}+0\cdot7\\.\qquad=4\\\\f'(5)=\large\boxed{4}$

3. Answer: d. 224

Step-by-step explanation:

$f(x)=12x^2+8x\\f'(x)=2\cdot12x^{2-1}+1\cdot8x^{1-1}\\.\qquad=24x+8\\\\f'(9)=24(9)+8\\.\qquad=216+8\\.\qquad=\large\boxed{224}$

4. Answer: d. 11/81

Step-by-step explanation:

$f(x)=\dfrac{-11}{x}\implies f(x)=-11x^{-1}\\\\f'(x)=-1\cdot -11x^{-1-1}\\\\.\qquad=11x^{-2}\\\\.\qquad=\dfrac{11}{x^2}\\\\f'(9)=\dfrac{11}{9^2}\\\\.\qquad=\large\boxed{\dfrac{11}{81}}$

5. Answer: -10

Step-by-step explanation:

s(t) = 1 - 10t

v = s'(t) = -10

s'(10) = -10

7 0

3 years ago

Two cars leave the origin; one goes north at 45 mph and the other goes south at 30 mph. after how many hours will they be 400 mi

Butoxors [25]

400 = 45x + 30x
400 = 75x
5.333 = x

Lets test

45mph for 5.333 hours = 240 miles
30mph for 5.333 hours = 160 miles
240 + 160 = 400 miles apart.

4 0

3 years ago

There are two triangles one has a base of 8 cm and a hieght of 10 cm the other has a base of 5 cm and a height of 13 cm which tr

kramer

Answer:

The triangle with base 8 cm and height 10 cm.

Step-by-step explanation:

A

r

e

a

△

=

1

2

⋅

b

a

s

e

⋅

h

e

i

g

h

t

△

1

a

r

e

a

=

1

2

⋅

8

⋅

10

=

40

△

2

a

r

e

a

=

1

2

⋅

5

⋅

13

=

32.5

40

>

32.5

∴

Area of first triangle is larger.

7 0

4 years ago