Use the appropriate conversions listed to convert 80 cups into gallons. Round to the nearest hundredth

Answer:

Here's one way to do it.

Explanation:

Let

f

(

x

)

=

x

3

−

2

x

2

+

3

x

.

(Needed because the intermediate value theorem is a theorem about functions .)

Observe that the equation

x

3

−

2

x

2

+

3

x

=

5

has a root (a solution) exactly when

f

(

x

)

=

5

So the question now is to show that for at least one number

c

, in

[

1

,

2

]

, we get

f

(

c

)

=

5

.

f

is continuous on

[

1

,

2

]

(Because it is a polynomial and they are continuous everywhere.)

f

(

1

)

=

2

and

f

(

2

)

=

6

5

is between

f

(

1

)

and

f

(

2

)

, so

by the intermediate value theorem, there is at least one number

c

, in

[

1

,

2

]

, for which

f

(

c

)

=

5

.

That is, the original equation has a solution.

Step-by-step explanation:

Answer:

I'm Pretty sure a+b is what it says

Answer:

1/1

Step-by-step explanation:

The reason why is because the spinner has 12 slices and on that spinner there is 12 yellow slices meaning all the slices on the spinner are yellow.

This means it is a 100% chance to land on yellow but 100% aas a fraction is 100/100.

You can simplify 100/100 a hundred times to 99/99 to 98/98 you can keep doing it but it's lowest form is the lowest number besides zero and that is 1 so it's lowest form is 1 out of 1 or 1/1 or 100%.

Hope this helps have a great afternoon:)

Answer:

Step-by-step explanation:

Lets assume the number of articles was x.

Half of the articles was bought at the price 1/5 rupee each and the other half was  bought at the price 1/4 rupee each.

Cost of articles:

Money made after sale is:

The difference is 3 rupees:

Correct choice is B

Answer:

9680 yards

Step-by-step explanation:

There are 1760 yards in a mile. That times 5 is 8800. To get the full 5.5 just add half of what’s in a mile (880) and you get 9680 yards. :)

Answer:

y = -1

Step-by-step explanation:

5(2y−1)−2(2−y)+3(2y+9)=0

Step 1: Simplify both sides of the equation.

5(2y−1)−2(2−y)+3(2y+9)=0

(5)(2y)+(5)(−1)+(−2)(2)+(−2)(−y)+(3)(2y)+(3)(9)=0(Distribute)

10y+−5+−4+2y+6y+27=0

(10y+2y+6y)+(−5+−4+27)=0(Combine Like Terms)

18y+18=0

18y+18=0

Step 2: Subtract 18 from both sides.

18y+18−18=0−18

18y=−18

Step 3: Divide both sides by 18.

18y/18 = -18/18

Answer: y=−1

Answer:

its not showing up on the screen

Answer:

$5000

Step-by-step explanation:

250000*2%=5000

Answer:

The distribution of sample means consist of the set of means of all the possible random samples of a specific size(n) from a specific population

Answer:

Mark has 23 marbles, Don has 74 marbles

Step-by-step explanation:

Mark has x marbles, Don has y marbles

y = 5 + 3x

x + y = 97

so

x + (5 + 3x) = 97

4x = 97 - 5 = 92

x = 92/4 = 23

y = 97 - 23 = 74

Answer:

What ever the length and width is you times them both I don't know if you exactly know that are now  but I think it is C

Hope it helps have a great day:)

Answer:

Step-by-step explanation:

3x + 6 + 4x + 20 = 180

7x + 26 = 180

7x = 154

x = 22

m<A= 3(22) + 6 = 66 + 6 = 72°

m<B = 4(22) + 20 = 88 + 20 = 108°

Answer: This is a college question?

Step-by-step explanation:

Mary picked 24 apples and Betty picked 40

Answer:

24 and 40

Step-by-step explanation:

there 16 apart from each other and simplyfy it you get a ratio of 3:5

Answer:

c-(y-1)(y+1)

d-(x-8)(x+8)

g-(a-9)(a+9)

h-(x-y)(x+y)

k- -1(x-5)(x+5)

i- -1(b-1)(b+1)

o- (x-20)(x+20)

p- -1(y-30)(y+30)

Step-by-step explanation:

k(special)

-1(x^2-25)

-1(x-5)(x+5)

i

-1(b^2-1)

-1(b-1)(b+1)

(continue with same procedure for such)

c -difference of square

there are all difference of square

Answer:

3628800

Step-by-step explanation:

just use a calculator if you need these types of things

if you're using this for a equation then substitute with 10*9*8*...

Answer:

550km/h

Step-by-step explanation:

v (speed) = d/t

v = 1375/2.5

v =550

Answer:

Yes

Step-by-step explanation:

Answer:

no answer

Step-by-step explanation:

not enough info

Answer:

As Per Given Information

Diameter of of baseball = 74 mm

We've been asked to find the volume of baseball .

As we know

Radius = Diameter/2

Radius = 74/2

Radius = 37 mm ( 1 mm = 0.1 cm)

Radius = 37/10 cm

Radius = 3.7 cm

Now let's calculate the volume of baseball

volume of baseball = 4/3 πr³

Put the given value we obtain

→ volume of baseball = 4/3 × 3.14 × (3.7)³

→ volume of baseball = 4/3 × 3.14 × 50.653

→ volume of baseball = 4/3 × 159.05042

→ volume of baseball = 636.20168/3

→ volume of baseball = 212.06

→ volume of baseball = 212 cm³ ( approx)

So, the volume of baseball is 212 cm³.

Solution:

We know that:

[tex]V_{Baseball} = \frac{4}{3} \pi r^{3} \\ \\ Diameter = 74 \space\ mm\\\\Radius = \frac{Diameter}{2}[/tex]

Finding the area of the baseball:

[tex]V_{Baseball} = (\frac{4}{3})( \pi )(r^{3})[/tex]

[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][(\frac{74}{2}) ^{3}][/tex]

[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][(37) ^{3}][/tex]

[tex]V_{Baseball} = [\frac{4}{3}][ 3.14 ][50653}][/tex]

[tex]V_{Baseball} = 212067.227 \space\ mm^{3} \space\ (Using\ calculator)[/tex]

Rounding the volume to the nearest tenth:

[tex]V_{Baseball} = 212067.227 \space\ mm^{3} = 212067.2 \space\ mm^{3}[/tex]

Thus, 212067.2 mm³ is the volume of the baseball.

Answer:

A

Step-by-step explanation:

look at the lines

A is going up and is linear

Answer:

t = √1.5/g

Step-by-step explanation:

1/2gt^2 = 3

Divide both sides by 1/2

gt^2 = 1.5

Divide both sides by g

t^2 = 1.5/g

Square root both sides

t = √1.5/g

Answer:

86 degrees

Step-by-step explanation:

Answer:

O

4

8

12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]

Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]

Answer:

f(b) = ab+ b

Step-by-step explanation:

Given f(x) = ax + b

To find f(b) plug b in for x.

f(b) = ab + b

Answer:

[tex]f(5) =\frac{15}{2}\\\\f(5) =7\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]f(x) =1/2 (2x - 3) + 4\\\\f(x)=\frac{1}{2} (2x -3)+4\\\\f(5)=?\\\\f(5)=\frac{1}{2} (2(5) -3)+4\\\\f(5) = \frac{1}{2}\times\:7+4\\\\f(5) =\frac{7}{2}+4\\\\f(5) =\frac{15}{2}\\\\f(5) =7\frac{1}{2}[/tex]

Answer: 61,611

Step-by-step explanation:

Answer: $66.00

Step-by-step explanation: If every 1/6 is 1 dollar then that means a whole pie is 6 dollars

6 * 11 = 66

Answer:

2 ⅓  

Step-by-step explanation:

division is the same as a fraction

the dividend is the numerator and the divisor is the denominator

7÷3 is the same as 7/3

change 7/3 into a mixed number which is 2 ⅓  

Answer:

Positive 4

Step-by-step explanation:

4 squared is equal to 16 as 4 x 4 = 16. However, if it was -4 squared, it would equal -16.