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2 years ago

Please add these number togeather

Mathematics

1 answer:

Tanya [424]2 years ago

8 0

Answer:

314.00+200.96+113.04+78.50+63.59+38.47+28.26+3.14+.79

=840.75

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Lisa's car gets 18 miles per gallon of gasoline. how many miles can she drive on 60 gallons of gas?

nlexa [21]

60x18= 1080

1080 miles

4 0

2 years ago

Please help with this, thank you!

dezoksy [38]

Step-by-step explanation:

$\sqrt{1.8 \times \sin(46 ) \div 7.8 {}^{2} } - 50.8 \\ \sqrt{1.8} \times 0.72 \div 60.84 - 50.8 \\ \sqrt{1.29 \div 10.04 } \\ \sqrt{0.128 } \\ 0.358$

8 0

2 years ago

Solve using demoivres theorem

pashok25 [27]

It's difficult to make out, but I think the task is to expand

$(\sqrt3-i)^4$

Write the number in polar form first:

$\sqrt3-i=2e^{-i\pi/6}$

By DeMoivre's theorem, you have

$(\sqrt3-i)^4=\left(2e^{-i\pi/6}\right)^4=2^4e^{-i4\pi/6}=16e^{-i2\pi/3}$

and converting back to Cartesian form, this number is equivalent to

$16\left(\cos\dfrac{2\pi}3-i\sin\dfrac{2\pi}3\right)=16\left(-\dfrac12+-\dfrac{\sqrt3}2\right)=-8(1+i\sqrt3)$

3 0

2 years ago

Factor completely 2x2 9x 4. (2x 2)(x 2) (2x 1)(x 4) (2x 4)(x 1) (2x 2)(x 4).

lozanna [386]

Factors of the given expression are $(x+4), (2x+1)$

Given expression is

$2x^2 + 9x+4$

<h3>What is a factor?</h3>

A factor is a number that divides another number completely.

Let us split the middle term as:

$2x^2 + 8x + x+4\\\\2x(x+4)+1(x+4)\\\\(x+4) (2x+1)$

Therefore, factors of the given expression are $(x+4), (2x+1)$

To get more about factors visit:

brainly.com/question/9781037

5 0

2 years ago

A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr

Rufina [12.5K]

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
$120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\$
Logarithm both sides of the equation:
$ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
$A = 120 000 000 * e ^{0.0083*17} \\ 
A = 120 000 000 * e^{0.1411} \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000
$
Thus, the population will be 138 million in 2014

8 0

3 years ago