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MaRussiya [10]
3 years ago
15

Which expression is equivalent to (4x^5+11)^2 ?

Mathematics
2 answers:
ale4655 [162]3 years ago
7 0
The correct answer is c
Amiraneli [1.4K]3 years ago
7 0

Answer: Option C  is correct  that is 16x^{10} +121+88x^5

Explanation:

we have been given with the expression

(4x^5+11)^2

we will use the formula of

(a+b)^2=a^2+b^2+2ab

Here a is equal to 4x^5

And b is equal to 11 substituting the values of a,b in the formula we will get

(4x^5+11)^2=(4x^5)^2+11^2+2(4x^5)(11)\\\\=16x^{10} +121+88x^5

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Given the recursive formula shown, what are the first 4 terms of the sequence? image Question 19 options: A) 5, 20, 80, 320 B) 5
kvv77 [185]

Answer:

B) 5, 20, 80, 320

Step-by-step explanation:

Complete question

Given the recursive formula shown, what are the first 4 terms of the sequence?

f(1) = 5 if n=1

f(n) = 4f(n-1) if n> 1

A) 5. 25, 100, 400

B) 5, 20, 80, 320

C) 5, 25, 125, 625

D) 5. 14, 60, 236

Get f(2)

f(2) = 4f(2-1)

f(2) = 4f(1)

f(2) = 4(5)

f(2) = 20

Get f(3)

f(3) = 4f(3-1)

f(3) = 4f(2)

f(3) = 4(20)

f(3) = 80

Get f(4)

f(4) = 4f(4-1)

f(4) = 4f(3)

f(4) = 4(80)

f(4) = 320

Hence the first 4 terms of the sequence are 5, 20, 80 and 320

3 0
3 years ago
Please help me with this
Bingel [31]

Answer:

c

Step-by-step explanation:

6 0
4 years ago
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Find the slope of the curve below at the given points. Sketch the curve along with its tangents at these points. R = sin 2 theta
mr Goodwill [35]

Answer:

<u>    </u><u>-1     </u>

Step-by-step explanation:

Given that:

r = sin 2θ  , θ = ± π/4 , ± 3π/4

Recall that:

x = r cosθ

y = r sinθ

The  differential of y with respect to x

\dfrac{dy}{dx} = \dfrac{\dfrac{dy}{d \theta}}{\dfrac{dx}{d \theta}}

\dfrac{dy}{dx} =\dfrac{\dfrac{dy}{d \theta}}{\dfrac{dx}{d \theta}} = \dfrac{ r cos \theta + sin \theta* \dfrac{dr}{d \theta} } {\dfrac{dr}{d \theta} *cos \theta- sin \theta \ r}

at  θ = π/4  , r = sin π/2

r = 1

\dfrac{dy}{dx} = \dfrac{ r cos \theta + 2 cos (2 \theta)*sin \ \theta } {2 \ cos (2 \theta) *cos \theta- sin 2 \theta * sin \theta}

where;

θ = π/4

\dfrac{dy}{dx} = \dfrac{ 1 \times  cos (\dfrac{\pi}{4}) + 2 cos  (\dfrac{\pi}{2})*sin  (\dfrac{\pi}{4}) } {2 \ cos  (\dfrac{\pi}{2})*cos  (\dfrac{\pi}{4})- sin  (\dfrac{\pi}{2}) * sin  (\dfrac{\pi}{4})}

\dfrac{dy}{dx} = \dfrac{\dfrac{1}{\sqrt{2}}+0 }{0-1 * \dfrac{1}{\sqrt{2}}}

\dfrac{dy}{dx} = \dfrac{\dfrac{1}{\sqrt{2}} }{- \dfrac{1}{\sqrt{2}}}

\mathbf{\dfrac{dy}{dx} =-1}

slope of the curve (dy/dx) at theta(θ)  = pi/4 is -1

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3 years ago
A building manager installs sensors to see how often people turn of the lights when they leave a room. After a month the manager
RideAnS [48]

Answer:

The confidence level for a confidence interval of 46.4% to  47.6% is 99.7%.

Explanation:

First of all, the choices for this question are missing so I will include the ones I found for this exact question. The missing options are as follows:

A. 85% B. 95% C. 68% D. 99.7%

When it comes to statistics, a confidence interval (CI) is  a type of interval estimate  of a population parameter. Statistics is all about drawing conclusions in the face of uncertainty. Whenever you take a sample, you can’t be completely certain that your sample truly reflects the population it’s drawn from.

In conclusion, from the choices presented, the best option is the last one. Option D.


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4 years ago
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The Appalachian Trail is a hiking trail that passes through the Appalachian Mountains.
belka [17]

1/4 gallon of water

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