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2 years ago

If g(x) = −3x + 4, what is the value of g(−3)? A. 13 B. 5 C. −5 D. -13

Mathematics

2 answers:

Maurinko [17]2 years ago

7 0

Answer:

Step-by-step explanation:

g(x) = -3x + 4

g(-3) = -3 × -3+4

g(-3) = 9 + 4

g(-3) = 13 ........

Nady [450]2 years ago

3 0

G(-3)=-3(-3)+4= -5
The g(-3)= -5

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For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b

dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by $H = 1,500e^{0.053t}$ where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute $H=4,000$ in our given formula and solve for t as:

$4,000= 1,500e^{0.053t}$

$\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}$

$\frac{8}{3}=e^{0.053t}$

$e^{0.053t}=\frac{8}{3}$

Take natural log of both sides:

$\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})$

$0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})$

$0.053t\cdot (1)=0.9808292530117262$

$\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}$

$t=18.506212320$

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

$2000+18.5=2018.5$

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

7 0

3 years ago

Verify the identity. sin (x+pi/2)=cos x

hram777 [196]

Given data
sin (x+pi/2)=cos x
now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that

sin (x+pi/2)=cos x

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2 years ago

Cube root of 0.000064

const2013 [10]

Cube root of 0.000064 = 0.04

hope it helps
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6 0

2 years ago

Which expression has both 8 and n as factors? 8 / n 8 + n 8n 8 - n

Sidana [21]

Answer:

Step-by-step explanation:

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2 years ago

Mrs Wall usually buys 12 pints of milk each week and pays her milkman £3.72. One week she had visitors and ordered an extra 3 pi

ziro4ka [17]

Answer:

£4.65 is her bill

Step-by-step explanation:

Here, we firstly need to calculate the unit price of a pint

Mathematically, in this case, that will be 3.72/12 = 0.31

ordering 3 extra pints means she would be buying a total 15

The price of this will be;

0.31 * 15 = £4.65

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2 years ago