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3 years ago

Can someone show me how to do this please

Mathematics

1 answer:

marta [7]3 years ago

6 0

Answer:

$volume = 0.32 m^3$

Step-by-step explanation:

The object shown above consists of 5 cubes having side lengths of ⅖m each.

Volume of a cube = $a^3$

Where, a = side length = ⅖ m

Volume of the object = $5* (\frac{2}{5})^3$

$volume = 5*\frac{8}{125} = 5*0.064 = 0.32 m^3$

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A cone has a diameter of 7.5 ft and a height of 4.25 ft. What is the volume of the cone to the nearest tenth? Use 3.14 for π.

leva [86]

Answer:

The volume of a cone is $62.5\ \text{feet}^3$ .

Step-by-step explanation:

We have,

Diameter of a cone is 7.5 ft

Radius of a cone is 3.75 ft

Height of the cone is 4.25 ft

It is required to find the volume of the cone. The formula of the volume of cone is given by :

$V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (3.75)^2\times 4.25\\\\V=62.55\ \text{feet}^3$

So, the volume of a cone is $62.5\ \text{feet}^3$ .

3 0

3 years ago

Which of the following is equivalent to 34 · 3-2?

saw5 [17]

34 multiplied by 3 is 102, subtract 2 and your answer is 100.

8 0

3 years ago

[HELP] For j(x) = <img src="https://tex.z-dn.net/?f=5%5Ex%5E-%5E3" id="TexFormula1" title="5^x^-^3" alt="5^x^-^3" align="absmidd

Alina [70]

The difference quotient of the function that has been presented to us will turn out to be 5.

<h3>How can I calculate the quotient of differences?</h3>

In this step, we wish to determine the difference quotient for the function that was supplied.

To begin, keep in mind that the difference quotient may be calculated by:

Lim h->0 $\frac{f(x+h)-f(x)}{h}$

Now, for the purpose of the function, we need this:

Then we will have:

$\begin{aligned}&\lim _{h \rightarrow 0} \frac{j(x+h)-j(x)}{h} \\&\lim _{h \rightarrow 0} \frac{5 *(x+h)-3-5 * x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 x+5 h-3-5 x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 h}{h}=5\end{aligned}$

j(x) = 5x - 3

Then the following will be true:

Therefore, 5 is the value of the difference quotient for j(x) is %

Read the following if you are interested in finding out more about difference quotients:

brainly.com/question/15166834

#SPJ1

6 0

1 year ago

Joanna is considering taking out a loan. She has a few options and wants to compare them. Her first option is a single payment l

fgiga [73]

Answer:

the value would be $1,250,000

Step-by-step explanation:

7 0

3 years ago

A prince picked a basketful of golden apples in the enchanted orchard. On his way home, he was stopped by a troll who guarded. T

Lelu [443]

Answer:

Let x = total number of apples picked by the prince

x=44

Step-by-step explanation:

1st troll payment

x-(0.5x+2)

x-0.5x-2

0.5x-2 (that is the amount of apples left after 1st troll payment)

2nd troll payment

(0.5x-2)-(0.5(0.5x-2)+2)

Simplifying,

(0.5x-2)-(0.25x-1+2)

(0.5x-2)-(0.25x+1)

0.5x-2-0.25x-1

0.25x-3 (apples remaining after 2nd troll payment)

3rd troll payment

(0.25x-3)-(0.5(0.25x-3)+2)=2

(0.25x-3)-(0.125x-1.5+2)=2

(0.25x-3)-(0.125x+0.5)=2

0.25x-3- 0.125x-0.5=2

0.125x-3.5=2

0.125x =2+3.5

0.125x=5.5

x=5.5/0.125 (divide both sides by 0.125)

=44 apples

Therefore total number of apples picked by the prince, x=44

3 0

3 years ago

Read 2 more answers

Can someone show me how to do this please​

Can someone show me how to do this please