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3 years ago

Please help on 19 / what is a nonlinear function answer soon and I give as many points as possible

Mathematics

1 answer:

adelina 88 [10]3 years ago

3 0

Answer:

Step-by-step explanation:

B is a geometric progression. Not linear.

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How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

3 years ago

Mrs. Potts can make 5 dozen ravioli in 1 hour. Write and solve a direct variation equation to find many she can make in 2 1/2 ho

erica [24]

A direct variation generally has the equation Y=KX
Because Mrs. Potts makes 5 dozen ravioli in 1 hour, this will be the K value.
(5 dozen/1 hr)
To figure out how many she can make in 2 1/2 hrs. You use 5 dozen/1 hr as the K value and multiply that by 2 1/2 hrs (the X value).
The hrs will cancel out and you will be left with the number of ravioli made in 2 1/2 hrs.

5 0

3 years ago

18 is the geometric mean between 4 and 9. true or false

tia_tia [17]

4/x = x/9

36 = x²

6 = x

The geometric mean between 4 and 9 is 6

Answer: False

8 0

3 years ago

Find the point of the intersection for the given systems y=x^2+1 and y=x+1

mario62 [17]

set them equal to each other

x²+1=x+1

minus 1 from both sides

x²=x

minus x both sides

x²-x=0

factor

x(x-1)=0

set each to 0

x=0

x-1=0

x=1

subsitute back to find y values

y=x+1, y=0+1, y=1, one point is (0,1)

y=x+1, y=1+1, y=2, another point is (1,2)

the 2 points of intersection are (0,1) and (1,2)

7 0

3 years ago

A 16 ounce bag of cereal cost $2.88 what is the cost per ounce

BabaBlast [244]

Answer: 0.18 (18 cents) per ounce

Step-by-step explanation:

2.88/16 = 0.18

5 0

2 years ago