Select the correct answer.
Becky wants to make a sculpture in the shape of a rectangular prism for the science fair. The sculpture will be made of cubic foot of clay and will have a base area of square foot. How tall will the sculpture be?
A.
foot
B.
foot
C.
foot
D.
foot
E.
foot

Answer:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is the same, and this quotient is given by q.

The explicit rule of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

1/4, 1/2, 1, 2, 4

This means that [tex]a_1 = \frac{1}{4}[/tex], and:

[tex]q = \frac{4}{2} = \frac{2}{1} = \frac{1}{\frac{1}{2}} = \frac{\frac{1}{2}}{\frac{1}{4}} = 2[/tex]

So the explicit rule is:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]

Answer:

If the water continues to drain at this rate, it would take 11 total minutes for Paula to drain her fish tank.

Step-by-step explanation:

In 6 minutes, she is able to drain 18 cms of her fish tank, so in 1 minute, she would be able to drain 3 cms of her fish tank. 15 divided by 3 is 5, so it would take 5 minutes to drain the rest of her fish tank. But it is asking for the total amount so 5 plus 6 is 11 total minutes.

Answer:

He showed that f(n) ÷ f(n - 1) was a constant ratio.

Given that Jake has proved that a function f(x) is a geometric sequence.

GEOMETRIC SEQUENCE:  A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.

So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.

That is, if 'c' is the constant that was used in the proof, then we must have

This implies that

Therefore, he showed that  f(n) ÷ f(n - 1) was a constant ratio.

Answer:

ur an idiot

Step-by-step explanation:

Answer:

the sentence into an inequality.

The product of y and 5 is less than --22

5y<-22

Since -22 is greater

Answer:

5y<-22

Step-by-step explanation:

5y<-22 Because its going to be 5 x y is greater than -22.

Answer:

2=18a

Step-by-step explanation:

Answer:

3, 3, and y=3

Step-by-step explanation:

got it right on edge

A ratio expresses the number of times one number contains another. The ratio of the given polynomial is equal to 3.

A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

Given the polynomial function, f(x)=(6x³ - x)/(2x³ - x). The leading coefficient is the constant of the term that has the highest power in a given polynomial. Therefore, the leading coefficient of the numerator and the denominator are 6 and 2, respectively. Thus, the ratio of the constant is,

Ratio = 6/2 = 3

Hence, the ratio of the given polynomial is equal to 3.

Learn more about Ratios here:

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Answer:

18 cheeseburgers

Step-by-step explanation:

yessir

Answer:

A

Step-by-step explanation:

the ' is always the image, so we see how all the letters that have ' in it are bigger than the ones that dont have ' in it.

Answer:

x=0

Step-by-step explanation:

3x + 10 = 10 + 2x

Subtract 2x from each side

3x-2x + 10 = 10 + 2x-2x

x+10 = 10

Subtract 10 from each side

x+10-10 = 10-10

x=0

Answer:

x=0

Step-by-step explanation:

3x + 10 = 10 + 2x

Subtract 2x from each side

3x-2x + 10 = 10 + 2x-2x

x+10 = 10

Subtract 10 from each side

x+10-10 = 10-10

x=0

Answer:

Sequoia sold 2 chap sticks while Raven sold 4.

Step-by-step explanation:

Since two friends, Sequoia and Raven, sold organic chap sticks at the local market, and Sequoia sold her chap sticks for $ 4 and Raven sold hers for $ 3 each, and in the first hour, their total combined sales were $ 20, if in the first hour, the friends sold a total of 6 chap sticks between them, to determine the number of chap sticks each of the friends sold during this time the following calculation must be performed:

6 x 4 + 0 x 3 = 24

5 x 4 + 1 x 3 = 23

2 x 4 + 4 x 3 = 20

Therefore, Sequoia sold 2 chap sticks while Raven sold 4.

Answer: 2

Step-by-step explanation:

Given

Red pebble is equal to 3 yellow pebble

A blue marble is equal to a red pebble and 2 yellow pebble

A green pebble is equal to 3 red pebble

Suppose [tex]R,B,Y,G[/tex] represents red, blue, yellow, and green pebbles

[tex]\therefore R=3Y\\B=R+2Y\\G=3R[/tex]

Express Red in terms of yellow in blue pebble equation

[tex]B=3Y+2Y\\B=5Y[/tex]

Now, express Green Pebble in terms of yellow pebble

[tex]G=3R=3(3Y)\\G=9Y[/tex]

Value of

[tex]\Rightarrow \dfrac{G+B}{2R+Y}\\\\\Rightarrow \dfrac{9Y+5Y}{2\times 3Y+Y}\\\\\Rightarrow \dfrac{14Y}{7Y}=2[/tex]

Answer:

the answer is 7

Step-by-step explanation:

divide the numerator (21) by the denominator (3) and you will get 7 as the answer hope this helped

here's the solution :

In a sphere,

[tex] \boxed { \mathsf{surface \: area = 4\pi r {}^{2} }}[/tex]

let's solve

hence, correct option is C. 576π unit²

Answer:

2.5 cm

Step-by-step explanation:

6*5=30

30/2=15

That's the area of the triangle

The area of the rectangle must also equal 15

6*w=15

Divide by both sides by 6

This gives you: 2.5

The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm

Used the formula of area of the rectangle and area of the triangle which states that,

Area of rectangle = Length × Width

And, Area of triangle = 1/2 × Base × Height

Given that,

The triangle and the rectangle have the same area.

Here, in a triangle;

Base = 5 cm

Height = 6 cm

So, the Area of the triangle is,

[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]

[tex]A = 15 \text{ square cm}[/tex]

In a rectangle;

Length = 6 cm

Width = w cm

So, the area of a rectangle,

[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]

Since the triangle and the rectangle have the same area.

So, equate both the area of the triangle and rectangle,

[tex]6 \times w = 15[/tex]

Divide both sides by 6,

[tex]w = \dfrac{15}{6}[/tex]

[tex]w = 2.5 \text{ cm}[/tex]

So, the value of w is 2.5 cm

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Answer: B: 20

Step-by-step explanation: We can take 40% as a fraction to make it 4/10, simplifying gives 2/5. 2/5 of 50 is 20!

Hope this Helps!

Answer:

Y = 0.09X1 - 167.40

Step-by-step explanation:

Year (X) : 2000, 2004, 2006, 2007, 20008

Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77

Using technology, the regression model obtained is :

Y = 0.09X1 - 167.40

With a slope of 0.09 and intercept of - 167.40

Answer:

2960 ft³

Step-by-step explanation:

Rectangular prism = 12x20x10=2400

Rectangular pyramid = 1/3x12x20x7=560

2400+560=2960

Answer:

308 (Third Option)

Step-by-step explanation:

Have a Great Day! :D

Step-by-step explanation:

X=63 and Y=27 is the correct answer.

Answer:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal

Step-by-step explanation:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

Answer:

100000

Step-by-step explanation:

First multiplt the given njmber with 2000 and subrat total number givem

Answer: c

Step-by-step explanation:

Answer:

I think iit's no consistent

Step-by-step explanation:

no consistent because there is no multiplying happening and no consistent adding happening

its g, yww .

5 = 0.5

10 = 1.0

15 = 1.5

20 = 2.0

25 = 2.5

Answer:

11 + y > - 33

Step-by-step explanation:

To represent the expression :

Sum of 11 and y ; greater than - 33

Sum of 11 and y ; 11 + y

Greater Than - 33; > - 33

Hence ;

11 + y > - 33

Answer:

B. X=7

Step-by-step explanation:

Because 9 greater than 7

Answer:

D. 125cm

Step-by-step explanation:

Round each number for an estimate so you get 5 x 5 x 5 = 125