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3 years ago

The length of Marianna's dress measures 1 1/4 yards. She hems the dress, makint it 3/8 yard shorter. How long is her dress now?

Mathematics

1 answer:

ser-zykov [4K]3 years ago

6 0

Answer:

7/8 yards

Step-by-step explanation:

1 1/4- 3/8

first change 1 1/4 to an improper fraction: 5/4

next, find common denominator which is 8

5/4=10/8

10/8-3/8=7/8

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Given 3X - Y = -13 solve for y

Yanka [14]

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2 years ago

Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?

Tju [1.3M]

Answer:

$Maximum\ value\ =9 ,at\ x=3$

Step-by-step explanation:

From the question we are told that:

Function given

$f(x) = -x^2 + 6x$

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

$-2x+6$

Therefore critical point

$x=3$

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

$F(1)=-(1)^2 + 6(1)\\F(1)=5$

For 4

$F(4)=-(4)^2 + 6(4)\\F(4)=8$

For critical point 3

$F(3)=-(3)^2 + 6(3)\\F(3)=9$

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

$Maximum\ value\ =9 ,at\ x=3$

3 0

2 years ago

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What is the volume of a cone (in cubic inches) with a radius of 6 inches and a height of 3 inches? Use 3.14 for pi. Round your a

Gre4nikov [31]

V = 1/3 * (pi) * r^2 * h
(pi) = 3.14
r = 6
h = 3

V = 1/3 * (3.14) * 6^2 * 3
V = 1/3 * 3.14 * 36 * 3
V = 1/3(339.12)
V = 339.12 / 3
V = 113.04 cubic inches <==

7 0

3 years ago

For the matrices below. Find all (real) eigenvalues. <br><br> A= [7 9]<br> [0 9]

Jet001 [13]

Answer:

The answer is "9 and 7".

Step-by-step explanation:

Given:

$A=\left[\begin{array}{cc}7&9\\0&9\end{array}\right]$

Using formula:

$|A-\lambda \cdot I|= 0\\\\$

$\to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]-\lambda \left[\begin{array}{cc}1&0\\0&1\end{array}\right] |=0\\\\\\ \to |\left[\begin{array}{cc}7&9\\0&9\end{array}\right]- \left[\begin{array}{cc}\lambda&0\\0&\lambda\end{array}\right] |=0\\\\\\\to|\left[\begin{array}{cc}7-\lambda &9\\0&9-\lambda\end{array}\right]|=0\\\\\\\to|(7-\lambda)(9-\lambda)|=0\\\\\to (7-\lambda)(9-\lambda)=0\\\\\to 7-\lambda=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 9-\lambda=0\\\\$

$\to \lambda=7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \lambda=9\\\\$

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3 years ago

Write the inequality:The speed limit on Rollins Road is 35 miles per hour

icang [17]

Answer:

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Step-by-step explanation:

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