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4 years ago

Can someone help me please

Mathematics

2 answers:

nika2105 [10]4 years ago

7 0

Answer:

−2y2−2y+7

Step-by-step explanation:

−4y−7y2+5y2+7+4y−2y

=−7y2+5y2+7+0−2y

=−2y2+7+0−2y

=−2y2−2y+7

lana [24]4 years ago

5 0

Answer:

7-2y-2y^2

Step-by-step explanation:

2-4y-7y^2+5y^2+5+4y-2y

7-4y-7y^2+5y^2+4y-2y

7-2y-7y^2+5y^2

7-2y-2y^2

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Can someone plz help

Kisachek [45]

Answer:

The answer is 3

Step-by-step explanation:

6 0

3 years ago

If f(x) is an exponential function where f(-2.5) = 1 and f(3.5) = 15, then find the value of f(-1.5), to the nearest hundredth.

Dennis_Churaev [7]

Answer:

1.57

Step-by-step explanation:

8 0

3 years ago

(b) If a series follows geometric progression, show that the ratio of the sum of term to the sum from (n+1) term to (2n) term is

Nadusha1986 [10]

Proof with explanation:

We know that the sum of first 'n' terms of a Geometric progression is given by

$S_{n}=\frac{a(1-r^{n})}{1-r}$

where

a = first term of G.P

r is the common ratio

'n' is the number of terms

Thus the sum of 'n' terms is

$S_{n}=\frac{a(1-r^{n})}{1-r}$

Now the sum of first '2n' terms is

$S_{2n}=\frac{a(1-r^{2n})}{1-r}$

Now the sum of terms from $(n+1)^{th}$ to $(2n)^{th}$ term is $S_{2n}-S_{n}$

Thus the ratio becomes

$\frac{S_{n}}{S_{2n}-S_{n}}\\\\=\frac{\frac{a(1-r^{n})}{1-r}}{\frac{a(1-r^{2n})}{1-r}-\frac{a(1-r^{n})}{1-r}}\\\\=\frac{1-r^{n}}{r^{n}-r^{2n}}\\\\=\frac{1-r^{n}}{r^{n}(1-r^{n})}\\\\=\frac{1}{r^{n}}$

5 0

3 years ago

A piece of paper has a

Allisa [31]

Answer:

The volume of the resulting cylinder is 385 cm³

Step-by-step explanation:

The formula of the rule of a cylinder is V = π r² h, where

r is the radius of its base

h is the height of it

<em>When a rectangular paper folded to form a cylinder, then one of its dimension will be the circumference of the base and the other dimension will be the height of the resulted cylinder</em>

∵ ABCD is a rectangle

∵ It is folded where AB coincides with DC

∴ AB is the height of the resulted cylinder

∴ BC is the circumference of the base of the resulted cylinder

∵ AB = 10 cm

∴ h = 10 cm

∵ BC = 22 cm

∴ The circumfrence of the base = 22 cm

∵ The circumference of a circle = 2 π r

→ Equate the rule by 22 to find r

∴ 2 π r = 22

∵ π = $\frac{22}{7}$

∴ 2 × $\frac{22}{7}$ × r = 22

∴ $\frac{44}{7}$ r = 22

→ Divide both sides by $\frac{44}{7}$

∴ r = 3.5 cm

→ Use the formula of the volume above to find the volume of the cylinder

∵ V = $\frac{22}{7}$ × (3.5)² × (10)

∴ V = 385 cm³

∴ The volume of the resulted cylinder is 385 cm³

3 0

3 years ago

What is the answer to this equation - 1/20 + 5/11?

Law Incorporation [45]

i think the answer is 89/220

7 0

3 years ago

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