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3 years ago

Please help thank u

Mathematics

1 answer:

puteri [66]3 years ago

6 0

Answer:

$2 {x}^{2} + 13x + 15 \\ 2 {x}^{2} + 10x + 3x + 15 \\ 2x(x + 5) + 3(x + 5) \\ (2x + 3)(x + 5)$

$5 {x}^{2} + 21x + 4 \\ 5 {x}^{2} + 20x + x + 4 \\ 5x(x + 4) + 1(x + 4) \\ (5x + 1)(x + 4) \\$

$7 {x}^{2} - 59x + 24 \\ 7 {x}^{2} - 56x - 3x + 24 \\ 7x(x - 8) - 3(x - 8) \\ (7x - 3)(x - 8)$

$2 {x}^{2} + 11x - 13 \\ 2 {x}^{2} - 2x + 13x - 13 \\ 2x(x - 1) + 13(x - 1) \\ (2x + 13)(x - 1)$

$8 {x}^{2} + 29x - 12 \\ 8 {x}^{2} + 32x - 3x - 12 \\ 8x(x + 4) - 3(x + 4) \\ (8x - 3)(x + 4) \\ \\$

$12 {x}^{2} - 7x - 12 \\ 12 {x}^{2} + 9x - 16x- 12 \\3x(4x + 3) - 4(4x + 3) \\ (3x - 4)(4x + 3)$

$- 12 {x}^{2} - 35x - 18 \\ - 12 {x}^{2} - 8x - 27x- 18 \\ - 4x(3x - 2) - 9(3x - 2) \\ ( - 4x - 9)(3x - 2)$

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MrRissso [65]

9*13=117
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We increased three meters to both the length and width of the garden.

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You deposit $3000 in an account earning 4% interest compounded continuously. How much will you have in

V125BC [204]

Answer: $3,664.21

Formula: $A=Pe^{rt}$

P = principle/original amount = $3000
r = rate of interest = 4% = 0.04
t = time period (in years) = 5
A = the new amount
e = Euler's number ≈ 2.718...

Substitute in the values:

$A=(3000)e^{(0.04)(5)} =(3000)e^{0.2} =(3000)(1.2214)=3664.208$

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<em>I think this is how you solve it o_O</em>

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3 years ago

Please asap<br>for 10 points!

kari74 [83]

<h3>Given:</h3><h3>Large cone:</h3>

r= 8 cm
h= 20 cm

<h3>Small cone:</h3>

r= 4 cm
h= 10cm

r: radius
h: height

The volume of the frustum of the given cone.

<h3>Solution:</h3>

Frustum is a part of a cone formed by cutting off the top by a parallel plane.

$\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}$

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

$V= \frac{1}{3}×\pi×{4}^{2}×10$

$V= 167.5516082 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V= 167.55 \: {cm}^{3}}$

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

$V= \frac{1}{3}×\pi×{8}^{2}×20$

$V= 1340.412866 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V=1340.41 \: {cm}^{3}}$

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

$V= 1340.41-167.55$

$\large\boxed{V= 1172.86 \: {cm}^{3}}$

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>

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1 year ago

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The answer is B

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