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2 years ago

Pls help 25 divided by 1.675 with remainder

Mathematics

1 answer:

raketka [301]2 years ago

4 0

The answer is 14.9253 i searched it up so there isn’t a remainder but that’s the decimal so..

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The height of a tree in feet over x years is modeled by the function f(x). f(x)=301+29e−0.5x which statements are true about the

Karo-lina-s [1.5K]

Given this equation:

$f(x)=301+29^{-0.5x}$

That represents the height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.

The tree's maximum height is limited to 30 ft.

As shown in figure below, the tree is not limited, so this statement is false.

The tree is initially 2 ft tall

The tree was planted in x = 0, so evaluating the function for this value, we have:

 $f(0)=301+29^{-0.5(0)}=301+1=302ft$

So, the tree is initially $\boxed{302ft}$ tall.

Therefore this statement is false.

Between the 5th and 7th years, the tree grows approximately 7 ft.

if x = 5 then:

 $f(5)=301+29^{-0.5(5)}=301ft$ 

if x = 7 then:

$f(7)=301+29e^{0.5(7)}=301ft$

So, between the 5th and 7th years the height of the tree remains constant
:
$\Delta=f(7)-f(5)=301-301=0ft$

This is also a false statement.

After growing 15 ft, the tree's rate of growth decreases.

It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term $29^{-\infty}$ approaches zero.

Therefore this statement is also false.

Conclusion: After being planted this tree won't grow.

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2 years ago

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Peter bought 8 lemons for $6 What was the cost for 1 lemon?

Alexeev081 [22]

$1.3 per lemon. I divided 8 by $6 and got 1.3.

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2 years ago

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"Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given st

11111nata11111 [884]

Answer:

The error E = ± 4.04 %

Step-by-step explanation:

Solution:-

- The sample data is used to estimate the population proportion ( p ).

- The success p^ = success percentage = 40 %

- The confidence interval CI = 98%

- The sample size n = 800

- The margin of error E:

- The margin of error "E" for estimation of population proportion ( p ) is given by:

$E = z-critical*\sqrt{\frac{p~ ( 1 - p~ )}{n} }$

Where, Z-critical value is defined by the significance level:

P ( Z < Z-critical ) = α / 2

Where, α : Significance level

α = 1 - CI

P ( Z < Z-critical ) = (1 - 0.98) / 2

P ( Z < Z-critical ) = 0.01

Z-critical = 2.33

- The error E of estimation is:

$E = 2.33*\sqrt{\frac{0.4 ( 1 - 0.4 )}{800} }\\\\E = 0.04035$

- The error E = ± 4.04 %

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2 years ago

Jonas has 8 sponsors for the school walk-a-thon. Trenton has one-fourth as many sponsors as Jonas. How many sponsors does Trento

Brilliant_brown [7]

Trenton has 2 sponsors

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3 years ago

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Write an equation of the sine function with each amplitude and period phase shift vertical shift

oksian1 [2.3K]

The equation for the sin function is: Asin(BX-C),
A is the amplitude.
The period is: 2pi/B
The phase shift is: C/B
So, if we know the amplitude A, the period and the shift, we can calculate B from the period: B=2pi/period and we can in the next step calculate C= B*phase shift.

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2 years ago