A number less 5 is at least 23

The price of a fan is 15 dollar the price is 27% lower than last week

Semenov [28]

$55.56 - $40.56 = $15
100% 73% 27%
^ ^
last week this week

7 0

3 years ago

The volume of a rectangular prism can be found by multiplying the three side lengths. A bookcase in the shape of a rectangular p

Vesna [10]

Answer:

(b³+11b²+24)ft³

Step-by-step explanation:

Volume of the rectangular prism = Length * Width * Height

Given the dimension

Length = b+8 ft

Width = b ft

Height = (b+3)ft

Volume of the rectangular prism = b(b+8)(b+3)

Volume of the rectangular prism = b(b^2+3b+8b+24)

Volume of the rectangular prism = b(b^2+11b+24)

Volume of the rectangular prism = b(b^2)+b(11b)+1(24)

Volume of the rectangular prism = b^3+11b^2+24

Hence the Volume of the rectangular prism is (b³+11b²+24)ft³

3 0

3 years ago

A pipe fills 11/15 liters of tub in 22/45 minutes. What is it's flow rate in terms of liters per minute?

Lelu [443]

The flow rate of the given fluid in the pipe is gotten as; 3/2 liters per minute

<h3>How to calculate the rate of flow?</h3>

We are told that a pipe fills 11/15 liters in 22/45 minutes.

Now, to get the flow rate of this pipe, we will use the formula;

Flow rate = Quantity of fluid/Time

Thus;

Flow rate = 11/15 ÷ 22/45

⇒ 11/15 * 45/22

⇒ 3/2 liters per minute

Read more about Rate of flow at; brainly.com/question/19475319

#SPJ1

8 0

2 years ago

Suppose that the function fis defined on the interval (-2,2) as follows. <br>find f(-1) f(0.5) f(1)

frosja888 [35]

Answer:

Step-by-step explanation:

Hello,

-1 <= -1 < 0

so f(-1)=-1

0 <= 0.5 < 1

so f(0.5)=0

1 <= 1 < 2

so f(1)=1

Thank you.

8 0

3 years ago

Based on the Fundamental Theorem of Algebra, how many complex roots does each of the following equations have? Write your answer

Galina-37 [17]

According to the fundamental theorem of algebra, <span>every polynomial of degree n has n complex zeroes.

Part A:

Given

$x(x^2-4)(x^2+16)=0 \\ \\ \Rightarrow x(x^4+12x^2-64)=0 \\ \\ \Rightarrow x^5+12x^3-64x=0$

Thus, the given polynomial is of degree 5 and hence has 5 omplrex roots.

Part B:

Given

$(x^2+4)(x+5)^2 = 0 \\ \\ \Rightarrow(x^2+4)(x^2+10x+25)=0 \\ \\ \Rightarrow x^4+10x^3+25x^2+4x^2+40x+100=0 \\ \\ \Rightarrow x^4+10x^3+29x^2+40x+100=0$

Thus, the polynomial is of degree 4 and hence has 4 complex roots.

Part C:

Given

$x^6-4x^5-24x^2+10x-3=0$

Thus, the given polynomial is of degree 6 and hence has 6 complex roots.

Part D:

Given

$x^7+128=0$

</span><span>Thus, the given polynomial is of degree 7 and hence has 7 complex roots.</span>

Part E:

Given

$(x^3+9)(x^2-4)=0 \\ \\ \Rightarrow x^5-4x^3+9x^2-36=0$

Thus, the given polynomial is of degree 5 and hence has 5 complex roots.

4 0

3 years ago