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3 years ago

10

For the function y=-3+4cos (5pi/6 (x+4)), what is the minimum value

1 answer:

Elena L [17]3 years ago

6 0

Function y is a function of cosine transformed by some operations, so cos can take values from interval <-1;1>, which means that this function can take values from interval <-7;-1>. The minimum value is -7. The graph will be very helpuf in this task to understand.

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How many times smaller is 2 × 10^-10 than 4 × 10^-5

natta225 [31]

Answer:

200,000

Step-by-step explanation:

To find how many times smaller is smaller number than greater number, divide greater number by smaller number.

Greater number $=4\times 10^{-5}$

Smaller number $=2\times 10^{-10}$

Then

$\dfrac{\text{Greater number}}{\text{Smaller number}}\\ \\=\dfrac{4\times 10^{-5}}{2\times 10^{-10}}\\ \\=\dfrac{4}{2}\times \dfrac{10^{-5}}{10^{-10}}\\ \\=2\times \dfrac{1}{10^{-5}}\\ \\=2\times 10^5\\ \\=2\times 100,000\\ \\=200,000$

7 0

4 years ago

Expand the given power by using Pascal’s triangle. (9a - 10b)^6

xxMikexx [17]

Answer:

$531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

Step-by-step explanation:

1 n=0

1 1 n=1

1 2 1 n=2

1 3 3 1 n=3

1 4 6 4 1 n=4

1 5 10 10 5 1 n=5

1 6 15 20 15 6 1 n=6

This is where n is the exponent in

$(x+y)^n$ .

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

Now we want to expand:

$(9a-10b)^6$ or we we can rewrite as $(9a+(-10b))^6$ .

Let's replace $x$ with $(9a)$ and $y$ with $(-10b)$ in the expansion:

$(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6$

$((9a)+(-10b))^6$

$=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6$

Let's simplify a bit:

$=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6$

$=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

8 0

4 years ago

Using ratio pleases help i´m stuck i need #5 for one side 1-5 for the other

Fudgin [204]

How did you put multiple pictures on this app? i can’t figure how to

5 0

3 years ago

The function f is defined by f(x)=7x−5. Use this formula to find the following values of f. <br>f(3)

Korvikt [17]

Answer:

f(3) = 16

Step-by-step explanation:

f(x)= 7x-5

We want to find the value when x=3

f(3) = 7*3 -5

f(3) = 21-5

f(3) = 16

8 0

3 years ago

Read 2 more answers

What is the square of 5y?

Virty [35]

Answer:

<h3>25y^2</h3>

Step-by-step explanation:

$(5y)^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a\times\:b\right)^n=a^nb^n\\\\\left(5y\right)^2=5^2y^2\\\\5^2=25\\\\=25y^2$

5 0

3 years ago