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Aleksandr-060686 [28]
3 years ago
12

When the function y = 2^{x} is changed to y = 2(2^{x}), the graph is shifted one unit. What is the direction of the shift?

Mathematics
1 answer:
KIM [24]3 years ago
4 0
Upwards from 1 to 2 is your Answer (see attachments)

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Write an expression describing her earnings for working hours
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you need to explain what the question is

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How long is the base of a parallelogram if it has an area of 120 square inches and a height of 10 square inches?
nataly862011 [7]

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Your answer should be 1,200 because 120 x 10 is 1,200

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)) Two tailors, Kristen and Layla, sit down to do some embroidery. Kristen can embroider 5
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2 hours or less depending on how skilled or how they're felling that day

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3 years ago
The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas
OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years

Therefore, the population of the city in 13 years time will be:

P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951

The population be at that time will be approximately 1,474,951.

3 0
3 years ago
If sum of first 6 digits of AP is 36 and that of the first 16 terms is 255,then find the sum of first ten terms.
Cloud [144]

Answer:

100

Step-by-step explanation:

We have the sum of first n terms of an AP,

Sn = n/2 [2a+(n−1)d]

Given,

36= 6/2 [2a+(6−1)d]

12=2a+5d ---------(1)

256= 16/2 [2a+(16−1)d]

32=2a+15d ---------(2)

Subtracting, (1) from (2)

32−12=2a+15d−(2a+5d)

20=10d ⟹d=2

Substituting for d in (1),

12=2a+5(2)=2(a+5)

6=a+5 ⟹a=1

∴ The sum of first 10 terms of an AP,

S10 = 10/2 [2(1)+(10−1)2]

S10 =5[2+18]

S10 =100

This is the sum of the first 10 terms.

Hope it will help.

4 0
2 years ago
Read 2 more answers
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