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2 years ago

(Do not use spaces. Use to represent exponents. Example 2^3 is 22.)

Mathematics

2 answers:

Alik [6]2 years ago

8 0

Answer: y=6^x-3

It is a exponent form of graph, so first:

y=a^x-b

When b=0, the asymptote is y=0 but as the asymptote given is y=-3, b=-3

Second:

the y value increases 6, when x changes 0 to 1, so a=6

aleksley [76]2 years ago

6 0

Y=6^x-3 That is correct

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Name one of the two Spelman College professors interviewed in Beyond Beats and Rhymes.

Papessa [141]

Answer:

One of the two professor mentioned in Beyond Beats and Rhymes is William Jelani Cobb

Step-by-step explanation:

Beyond Beats and Rhymes is a documentary movie made in 2006 that was focus on the issues of sexism, homophobia, violence and masculinity in HIP-HOP music genre the movie starred Carmen Ashurst-Watso , Clipse , Fat Joe and other Hip Hop artistes and was directed by Byron Hurt

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2 years ago

Simplify the expression<br> –2 + 7(x + 8)

anastassius [24]

Answer:

54+7x

Step-by-step explanation:

-2+7(x+8)

-2+7x+56

54+7x

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2 years ago

Read 2 more answers

If a 40,000g cannon ball is 35m above the Earth’s surface, how much potential energy does the cannon ball have?

ELEN [110]

Answer:

Step-by-step explanation:

Remark

You could do this by converting the distance but the much more common way is to use kg and m.

Formula

PE = m * g * h

Givens

m = 40000 grams

m = 40000 grams * 1kg/1000 grams = 40 kg

g = 9.81

h = 35 m

Solution

PE = 40 * 9.81 * 35

PE = 13734 Joules

4 0

2 years ago

58.April would like to invest $200 in the bank for one year. Three banks all have a nominal APR of 1.5%, but compound the intere

nasty-shy [4]

Answer:

$203.00

Step-by-step explanation:

Since the bank in question compounds interest just once, and this is a one year investment, it can be treated as a simple rate interest problem. Therefore, the total balance after one year (B) is given by the following formula:

$B= 200*(1+i)\\B= 200*(1+0.015)\\\\B= 203$

April's balance would be $203.00 after one year.

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3 years ago

Officials begin to release water from a full man-made lake at a rate that would empty the lake in 10 weeks, but a river that can

Romashka [77]

Answer:

It takes 20 weeks to empty the lake

Step-by-step explanation:

Some rate, let's call it $R_{empty}$ empties the lake in 10 weeks and a river (with rate $R_{river}$ can fill the lake in 20 weeks. The idea behind the solution of this type of problem is always set the rate to the same units. Let's see this:

$R_{empty}=\frac{1\ lake}{10\ weeks}$ which implies that this rate empties 0.1 of the lake per week, thus, $R_{empty}=0.1/week$ .

Using the same idea, we can obtain that the filling rate of the river is:

$R_{river}=\frac{1\ lake}{20\ weeks} = 0.05 /week$

Since both rates are acting at the same time, the total rate of flowing water (either in or out the lake) would be given by:

$R_{total}=R_{empty}+R_{river}\\R_{total}= -0.1 + 0.05=-0.05/week$ , which means that the lake is being empty at a rate of -0.05 week and using the rule of three:

$\frac{0.05}{1} = \frac{1}{total\ of\ weeks} \\total\ of\ weeks = \frac{1}{0.05}=\frac{1}{\frac{1}{20} }\\ total\ of\ weeks = 20$

Thus, It takes 20 weeks to empty the lake.

5 0

2 years ago