How many times wider is 2ft than the width of 2in

kumpel [21]

Answer: y = 6 mi. .
______________________________________________
Explanation:
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Area of a triangle = (½) * (base) * (height) ;

or, A = (½) * b * h ; or, A = b*h / 2 ;
_____________________________________
Given: A = 24.3 mi ² ;
b = 8.1 mi
___________________
Find the height, "h" ; (in units of "miles", or , "mi" ).
__________________________
Plug in the known values into the formula:

24.3 mi ² = (½) * (8.1 mi) *(h) ;
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Solve for "h" (height) ;
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(½) * (8.1 mi) = 4.05 mi ;
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Rewrite:
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24.3 mi² = (4.05 mi) *(h) ; Solve for "h" ;
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Divide each side of the equation by "(4.05 mi)" ; to isolate "h" on one side of the equation ; and to solve for "h" ;
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24.3 mi² / 4.05 mi = (4.05 mi) *(h) / 4.05 mi ;

→ 6 mi = h ; ↔ h = 6 mi.

→ h = y = 6 mi.
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7 0

3 years ago

Read 2 more answers

A hypothesis test is to be performed for a population proportion. For the given sample data and null hypothesis, compute the val

liberstina [14]

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

The sample size is n = 415

The sample proportion is $\r p = 0.49$

Now

The null hypothesis is $H_o : p = 0.3$

The alternative hypothesis is $H_a : p \ne 0.3$

The test statistics is mathematically evaluated as

$t = \frac{\r p - p }{ \frac{\sqrt{ p (1- p )} }{n} }$

substituting values

$t = \frac{0.49 - 0.3 }{ \sqrt{ \frac{0.3 (1- 0.3 ) }{415} }}$

$t = 8.446$

8 0

3 years ago

Please help me answer this question

avanturin [10]

By direct substitution and simplification, the trigonometric function z = cos (2 · x + 3 · y) represents a solution of the partial differential equation $\frac{\partial^{2} t}{\partial x^{2}} - \frac{\partial^{2} t}{\partial y^{2}} = 5\cdot z$ .

<h3>How to analyze a differential equation</h3>

Differential equations are expressions that involve derivatives. In this question we must prove that a given expression is a solution of a differential equation, that is, substituting the variables and see if the equivalence is conserved.

If we know that $z = \cos (2\cdot x + 3\cdot y)$ and $\frac{\partial^{2} t}{\partial x^{2}} - \frac{\partial^{2} t}{\partial y^{2}} = 5\cdot z$ , then we conclude that:

$\frac{\partial t}{\partial x} = -2\cdot \sin (2\cdot x + 3\cdot y)$

$\frac{\partial^{2} t}{\partial x^{2}} = - 4 \cdot \cos (2\cdot x + 3\cdot y)$

$\frac{\partial t}{\partial y} = - 3 \cdot \sin (2\cdot x + 3\cdot y)$

$\frac{\partial^{2} t}{\partial y^{2}} = - 9 \cdot \cos (2\cdot x + 3\cdot y)$

$- 4\cdot \cos (2\cdot x + 3\cdot y) + 9\cdot \cos (2\cdot x + 3\cdot y) = 5 \cdot \cos (2\cdot x + 3\cdot y) = 5\cdot z$

By direct substitution and simplification, the trigonometric function z = cos (2 · x + 3 · y) represents a solution of the partial differential equation $\frac{\partial^{2} t}{\partial x^{2}} - \frac{\partial^{2} t}{\partial y^{2}} = 5\cdot z$ .

To learn more on differential equations: brainly.com/question/14620493

#SPJ1

3 0

1 year ago

tickets sold for a concert cost $3 for kids (x) and $5 for adults (y). the total amount earned was greater than $25. write an in

Olenka [21]

3x + 5Y > 25
**we know that the sale is MORE but not equal to 25

6 0

3 years ago

The prize of bronze has increased by 10% per year from 2000. In the year 2000, Harry bought a bronze medal for $120. Which of th

barxatty [35]

Hey there!

Consider the exponential growth equation:

$f(x) = P(1 + r)^{t}$ , where:

P = initial amount
r = interest rate (as a decimal, divide a percentage by 100 to get its decimal form)
t = years

All you need to do is plug in your given numbers:

P = 120
r = 0.10
t = x

Your final equation will be:

$f(x) = 120(1.10)^{x}$

Hope this helped you out! :-)

6 0

2 years ago

Read 2 more answers