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2 years ago

Is 5.243 greater, equal to ,or less than 5.4?

Mathematics

2 answers:

FinnZ [79.3K]2 years ago

8 0

5.243 is less than 5.4

larisa [96]2 years ago

7 0

Answer:

5.243 is less than 5.4....

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Help with these math exercises, please!

lions [1.4K]

1) (3-x) x (3+x)

2) 5(5-x) x (5+x)

3) (3v-wy) x (3v+wy)

4) 2(k-m) x (k+m) x (k^2+m^2)

5) (ab-4c) x (ab+4c)

Brainliest?

4 0

2 years ago

4. Using the geometric sum formulas, evaluate each of the following sums and express your answer in Cartesian form.

nikitadnepr [17]

Answer:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=1$

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=0$

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})=\frac{1}{2}$

Step-by-step explanation:

$\sum_{n=0}^9cos(\frac{\pi n}{2})=\frac{1}{2}(\sum_{n=0}^9 (e^{\frac{i\pi n}{2}}+ e^{\frac{i\pi n}{2}}))$

$=\frac{1}{2}(\frac{1-e^{\frac{10i\pi}{2}}}{1-e^{\frac{i\pi}{2}}}+\frac{1-e^{-\frac{10i\pi}{2}}}{1-e^{-\frac{i\pi}{2}}})$

$=\frac{1}{2}(\frac{1+1}{1-i}+\frac{1+1}{1+i})=1$

2nd

$\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=\frac{1-e^{\frac{i2\pi N}{N}}}{1-e^{\frac{i2\pi}{N}}}$

$=\frac{1-1}{1-e^{\frac{i2\pi}{N}}}=0$

3th

$\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})==\frac{1}{2}(\sum_{n=0}^\infty ((\frac{e^{\frac{i\pi n}{2}}}{2})^n+ (\frac{e^{-\frac{i\pi n}{2}}}{2})^n))$

$=\frac{1}{2}(\frac{1-0}{1-i}+\frac{1-0}{1+i})=\frac{1}{2}$

What we use?

We use that

$e^{i\pi n}=cos(\pi n)+i sin(\pi n)$

and

$\sum_{n=0}^k r^k=\frac{1-r^{k+1}}{1-r}$

6 0

2 years ago

A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position

Umnica [9.8K]

Answer:

height = 20.5068 m

Step-by-step explanation:

Given the data in the question;

First, lets calculate the amplitude, midline and period of 8minutes

Amplitude = 35 / 2 = 17.5

|A| = 17.5

A = - 17.5 { since the wheel starts at 6 o clock }

midline C = (35/2) + 3

C = 17.5 + 3

C = 20.5

And period is 8 minutes

⇒ 2π/B = 8

8B = 2π

B = 2π/8 = π/4

So our equation will be in the form of;

y = h(t) = Acos(B×t) + C

∴ h(t) = -17.5cos( π/4×t) + 20.5

Now, How high are you off the ground after 6 minutes

⇒ height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( 4.71238898) + 20.5

height = -17.5 × cos( 4.712) + 20.5

height = -17.5 × -0.00038898 + 20.5

height = 0.0068 + 20.5

height = 20.5068 m

8 0

2 years ago

Max's grade on the first math exam was a 94. His grade on his seond math exam was an 89. What was the percent of change in Max's

Tom [10]

We are given that

Max's grade on the first math exam was a 94

so, first exam grade =94

His grade on his seond math exam was an 89

so, second exam grade =89

change in grade=(first exam grade)-(second exam grade)

change in grade=94-89

change in grade=5

Percentage = ( change in grade)/( first exam grade) *100

so, percentage is

$=\frac{5}{94}\times 100$

so,

the percent of change in Max's grade to the nearest whole percentage was 5%..........Answer

5 0

2 years ago

Read 2 more answers

Need help for 15 points please!

AfilCa [17]

Answer:

the last one luv Tpwk Byeeee now

Step-by-step explanation:

I Think, if the other person gets it right listen to them

6 0

2 years ago