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Artyom0805 [142]
3 years ago
7

Help I tried to do the page but I couldn't

Mathematics
1 answer:
ahrayia [7]3 years ago
6 0
Sarah wanted to share her apple with 3 of her friends , but she only had 1/2 of an apple left. What math problem should she write to figure out how to split her apple. Explain your answer.
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a group of hikers buy 8 bags of trail mix.each nag contains 3 1\2 cups of trail mix.the trail mix is shared evenly among 12 hike
Troyanec [42]
2 1/3 cup of trail mix per hiker.
8 0
3 years ago
Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap
pantera1 [17]

Answer:

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e \dfrac{dV}{dt}= 20 \ ft^3/min

we know that radius r is always twice the   diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

V = \dfrac{\pi r^2 h}{3}

V = \dfrac{\pi (h/2)^2 h}{3}

V = \dfrac{1}{12} \pi h^3

V = \dfrac{ \pi h^3}{12}

Taking the differentiation of volume V with respect to time t; we have:

\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}

\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}

we know that:

\dfrac{dV}{dt}= 20 \ ft^3/min

So;we have:

20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}

20= 56.25 \pi \times \dfrac{dh}{dt}

\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

8 0
3 years ago
A polynomial function upper P left parenthesis x right parenthesis with rational coefficients has the given roots. Find two addi
mylen [45]

Given that a polynomial function P(x) has rational coefficients.

Two roots are already given which are i and 7+8i,

Now we have to find two additional roots of P(x)=0

Given roots i and 7+8i are complex roots and we know that complex roots always occur in conjugate pairs so that means conjugate of given roots will also be the roots.

conjugate of a+bi is given by a-bi

So using that logic, conjugate of i is i

also conjugate of 7+8i is 7-8i

Hence final answer for the remaining roots are (-i) and (7-8i).

5 0
3 years ago
How do i write 23r4 in verbal expression
cupoosta [38]

Answer:

if it's 2/3r^4 heres the answer

Step-by-step explanation:

1.) 2/3 times r raised to the 4th power

2.) the product of 2/3 and r raised to the 4th power

3.) 2/3 multiplied by r raised to the 4th power

4.) 2/3 of r raised to the 4th power

you can pick one of the many choices I've listed!! youre welcome :)

7 0
2 years ago
Read 2 more answers
A scientist uses a submarine to study ocean life.
Alexus [3.1K]

Answer:

31.3 feet

Step-by-step explanation:

-23.6+13.4 = -10.2

-10.2 - 21.1 = -31.3

6 0
3 years ago
Read 2 more answers
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