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2 years ago

Trey has bought 10 pounds of dog food. He feeds his dog

Mathematics

1 answer:

inna [77]2 years ago

8 0

how many pounds does he feed his dogs for each meal?

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It would be really helpful if anyone solved this for me !!!! It's differentiation.

Andrew [12]

Determine point A:

$y(x)=\frac{10}{2x+1}-2\\\frac{10}{2x+1}-2=0\implies x=2$

so A(2,0)

Find the function for the tangent:

$\frac{dy}{dx}=-\frac{-20}{(2x+1)^2}$

the tangent function is a line

$y=ax + b = \frac{dy}{dx}|_A\cdot x + b\\$

(with slope being the derivative evaluated at point A(2,0))

$\frac{dy}{dx}|_A=-\frac{4}{5}$ so a=-4/5.

Determine b by using what we know about A:

$y=-\frac{4}{5}x+b\\0=-\frac{4}{5}\cdot 2+b\implies b=\frac{8}{5}$

so the function is

$y = -\frac{4}{5}x+\frac{8}{5}\\5y + 4x = 8$

(i) this is demonstrated above

(ii) distance AC: we know A(2,0) and C(0,5/8), the distance is:

$\sqrt{(0-2)^2+(\frac{5}{8}-0)^2}=\sqrt{281}/8\approx 2.1$

8 0

2 years ago

A man who is 2 meters tall stands on level ground. He is 32 meters from the base of a tree. The angle of elevation of the top of

podryga [215]

Answer:

h = 16.92 m

Step-by-step explanation:

If you mean to man horizontal line of sight then the height of the tree is:

h = 2m + x

x is one right side and second is distance from the base of a tree 32m.

Tangence in this right triangle is:

tan 25° = x / 32 => x = 32 · tan 25° = 32 · 0.4663 = 14.92m

h = 2 + 14.92 = 16.92m

God with you!!!

6 0

3 years ago

Read 2 more answers

FIVE STARS AND BRAINLIEST FOR CORRECT ANSWER

Charra [1.4K]

For the given vectors $\vec{a}=a_{1}\hat{i}+a_{2}\hat{j}$ and $\vec{b}=b_{1}\hat{i}+b_{2}\hat{j}$

The dot product of vectors a and b is defined as = $\vec{a}.\vec{b}=(a_{1}\times b_{1}+a_{2} \times b_{2})$

So, $\vec{a}.\vec{b} = (4\hat{i}+3\hat{j}). (-4\hat{i}+4\hat{j})$

$\vec{a}.\vec{b}=(4\times(-4)+3 \times4)$

= -16+12

= -4

8 0

3 years ago

Gordon types 2,772 words in 42 minutes. Find the unit rate.

zubka84 [21]

Answer:

66 words in 1 minute

I hope this helps!

8 0

2 years ago

Pete and his friend Danny volunteered to bring sandwiches for lunch at a homeless shelter. They bought 7 loaves of bread. Each l

Gnesinka [82]

Answer:

63 sandwiches

Step-by-step explanation:

Pete and his friend Danny volunteered to bring sandwiches for lunch at a homeless shelter

They brought 7 loaves of bread

Each loaves have 18 slices

They used 2 slices each to make the sandwich

The first step is to calculate the total number of slices

Sinces 7 loaves of bread are used and each of them contain 18 slices then, the total number of slices can be calculated as follows

= 7 ×18

= 126 slices

Therefore since 2 slices of bread is used to make one sandwich then, the number of sandwiches that was made can be calculated as follows

= 126/2

= 63

Hence 63 sandwiches were made for the shelter

8 0

3 years ago