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2 years ago

10^r=1 solve for r please

Mathematics

1 answer:

Fed [463]2 years ago

3 0

Answer:

r = 1/10

Step-by-step explanation:

To get to one tenth of a number, the exponent of that number will be one tenth. In equation form, x^1/10=1/10x. Let x equal any real number. Hope I've helped <3

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The inverse of this equation

In-s [12.5K]

Answer:

${f}^{ - 1}(x) = \frac{x + 11}{ - 5}$

Step-by-step explanation:

$f(x) = - 5x - 11 \\ - 5x - 11 =x \\ - 5x = x + 11 \\ {f}^{ - 1}(x) = \frac{x + 11}{ - 5}$

7 0

3 years ago

Brand X sells 21 oz. Bags of mixed nuts that contain 29% peanuts. To make their product they combine brand A mixed nuts which co

masha68 [24]

Answer:

Brand X has to mix 8.4 oz of brand A mixed nuts which contain 35% peanuts and 12.6 oz of brand B mixed nuts which contain 25%, to obtain 21 oz. Bags of mixed nuts that contain 29% peanuts.

Step-by-step explanation:

We define

$B_{A}=1oz @ 35\%$ , wich means Brand A has 1 oz containing 35% peanuts.

$B_{B}=1oz @ 25\%$ , wich means Brand b has 1 oz containing 25% peanuts.

So we can build an equiation system

(1) $B_{a}+B_{b}=21$

(2) $0.35 \times B_{a}+0.25 \times B_{b}=0.29 \times 21$ , after fixing it a little

(2) $0.35B_{a}+0.25B_{b}=6.09$

As we can use any method to solve the system, I used a calculator wich thrown the following results $B_{a}=8.4 \ oz$ and $B_{b}=12.6 \ oz$ .

4 0

2 years ago

A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine

ASHA 777 [7]

Answer:

The radius of the scoop is r = 3.1 cm

Step-by-step explanation:

Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.

3 gallons = 3 × 3785 cm³ = 11355 cm³

So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.

Since 90 scoops = 11355 cm³, then

1 scoop = 11355 cm³/90 = 126.2 cm³

Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have

r = ∛(3V/4π)

Substituting V = 126.2 cm³, we have

r = ∛(3× 126.2 cm³/4π)

= ∛(378.6 cm³/12.57)

= ∛30.13 cm³

= 3.1 cm

So, the radius of the scoop is r = 3.1 cm

5 0

3 years ago

You had 250 minutes left on your cellphone and you talk an hour a week

hjlf

Let w = the number of weeks you talked on your cell phone

60 min = 1 hr

60w + 250 = total number of minutes

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3 years ago

Mikey worked 8 hours on Wednesday, 6 hours on Thursday, and 7 hours on Friday. His gross pay for all three days was $187.95. Wha

Anuta_ua [19.1K]

Answer:

$8.95

Step-by-step explanation:

8 + 6 + 7 = 21

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6 0

1 year ago