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2 years ago

What expression is equivalent to 4 to the power of 4 times 4 to the power of -9

Mathematics

1 answer:

pogonyaev2 years ago

5 0

4^4 * 4^(-9) = 4^(4-9) = 4^(-5) or 1/(4^5)

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For the function y=-1+6cos(2pi/7(x-5)) what is the minimum value?

s344n2d4d5 [400]

Answer:

The minimum value of y is -7

Step-by-step explanation:

Given: $y=-1+6\cos(\dfrac{2\pi}{7}(x-5))$

We are given a cosine function.

We need to find minimum value of function.

$y=-1+6\cos(\dfrac{2\pi}{7}(x-5))$

Here y is depends on cosine function.

y is minimum when cosine is minimum because y is directly proportional to cosine function.

Minimum value of cos x is -1

Therefore, For minium value of y

$\cos(\dfrac{2\pi}{7}(x-5))=-1$

Minimum value of y

$y=-1+6(-1)$

$y=-7$

Hence, The minimum value of y is -7

7 0

4 years ago

Find the equation of the axis of symmetry of the following parabola algebraically.<br> y=x^2-12x+34

ryzh [129]

I have no idea how to type it out

5 0

3 years ago

Elizabeth has $680 to spend at a bicycle store for some new gear and biking outfits.

Mama L [17]

Answer: 5 outfits

Step-by-step explanation: 17.63x2=35.26

437.63+35.26+18.11=491

680-491=189

189 divided by 35.19= 5 (rounded)

4 0

3 years ago

How many gallons each of 0.5% milk and 3% milk should a dairy farmer combine to

Umnica [9.8K]

Answer:

2.8 gallons 0.5% milk

4.2 gallons 3% milk

Step-by-step explanation:

let 'x' = .5% milk

let 'y' = 3% milk

System of Equations:

x + y = 7

.005x + .03y = 7(.02)

I used the substitution method and solved the first equation for y: y = 7 - x

.005x + .03(7 - x) = .14

.005x + 0.21 - .03x = 0.14

-0.025x + 0.21 = 0.14

-0.025x = -0.07

x = 2.8

7 - 2.8 = 4.2

y = 4.2

3 0

3 years ago

Ratio of 200m and 1km.

kkurt [141]

Answer:

1 : 5

Step-by-step explanation:

→ Convert 1km into metres

1000

→ Put in ratio format

200 : 1000

→ Simplify

1 : 5

8 0

3 years ago