1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Furkat [3]
3 years ago
7

What is 4 1/2 times(×) 1 1/6

Mathematics
2 answers:
sveticcg [70]3 years ago
7 0

Answer:

5.25

Step-by-step explanation:

Basile [38]3 years ago
3 0

[ Answer ]

\boxed{5 \frac{1}{4} }

[ Explanation ]

4\frac{1}{2} · 1\frac{1}{6}

Turn Mixed Numbers Into Improper Fractions:

4\frac{1}{2} = \frac{9}{2}

1\frac{1}{6} = \frac{7}{6}

Multiply Across:

\frac{9*7}{2*6}

= \frac{63}{12}

Simplify:

= 5\frac{1}{4}

\boxed{[ \ Eclipsed \ ]}

You might be interested in
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x , y) point
vlabodo [156]
The vertex to y=x^2+8x-23 is (4,-7)
3 0
3 years ago
Read 2 more answers
Short math problem giving brainly!
Zielflug [23.3K]

Answer:

It should be the second one

Step-by-step explanation:

4 0
3 years ago
The plane x+y+2z=8 intersects the paraboloid z=x2+y2 in an ellipse. Find the points on this ellipse that are nearest to and fart
DiKsa [7]

Answer:

The minimum distance of   √((195-19√33)/8)  occurs at  ((-1+√33)/4; (-1+√33)/4; (17-√33)/4)  and the maximum distance of  √((195+19√33)/8)  occurs at (-(1+√33)/4; - (1+√33)/4; (17+√33)/4)

Step-by-step explanation:

Here, the two constraints are

g (x, y, z) = x + y + 2z − 8  

and  

h (x, y, z) = x ² + y² − z.

Any critical  point that we find during the Lagrange multiplier process will satisfy both of these constraints, so we  actually don’t need to find an explicit equation for the ellipse that is their intersection.

Suppose that (x, y, z) is any point that satisfies both of the constraints (and hence is on the ellipse.)

Then the distance from (x, y, z) to the origin is given by

√((x − 0)² + (y − 0)² + (z − 0)² ).

This expression (and its partial derivatives) would be cumbersome to work with, so we will find the the extrema  of the square of the distance. Thus, our objective function is

f(x, y, z) = x ² + y ² + z ²

and

∇f = (2x, 2y, 2z )

λ∇g = (λ, λ, 2λ)

µ∇h = (2µx, 2µy, −µ)

Thus the system we need to solve for (x, y, z) is

                           2x = λ + 2µx                         (1)

                           2y = λ + 2µy                       (2)

                           2z = 2λ − µ                          (3)

                           x + y + 2z = 8                      (4)

                           x ² + y ² − z = 0                     (5)

Subtracting (2) from (1) and factoring gives

                     2 (x − y) = 2µ (x − y)

so µ = 1  whenever x ≠ y. Substituting µ = 1 into (1) gives us λ = 0 and substituting µ = 1 and λ = 0  into (3) gives us  2z = −1  and thus z = − 1 /2 . Subtituting z = − 1 /2  into (4) and (5) gives us

                            x + y − 9 = 0

                         x ² + y ² +  1 /2  = 0

however, x ² + y ² +  1 /2  = 0  has no solution. Thus we must have x = y.

Since we now know x = y, (4) and (5) become

2x + 2z = 8

2x  ² − z = 0

so

z = 4 − x

z = 2x²

Combining these together gives us  2x²  = 4 − x , so

2x²  + x − 4 = 0 which has solutions

x =  (-1+√33)/4

and

x = -(1+√33)/4.

Further substitution yeilds the critical points  

((-1+√33)/4; (-1+√33)/4; (17-√33)/4)   and

(-(1+√33)/4; - (1+√33)/4; (17+√33)/4).

Substituting these into our  objective function gives us

f((-1+√33)/4; (-1+√33)/4; (17-√33)/4) = (195-19√33)/8

f(-(1+√33)/4; - (1+√33)/4; (17+√33)/4) = (195+19√33)/8

Thus minimum distance of   √((195-19√33)/8)  occurs at  ((-1+√33)/4; (-1+√33)/4; (17-√33)/4)  and the maximum distance of  √((195+19√33)/8)  occurs at (-(1+√33)/4; - (1+√33)/4; (17+√33)/4)

4 0
3 years ago
The Point-Slope Equation: Pt 2
denis-greek [22]

Answer:

y = -1/3x - 5/3

Step-by-step explanation:

The slope of a line is the ratio of vertical distance to horizontal distance between the points. Since the line has to cross through the point (-5,0), count out the slope -1/3 by moving down 1 unit and to the right 3 units. This places the line between -1 and -2 on the y-axis. Looking at the options listed for b in y = mx + b. b = -5/3 is the best option and is between -1 and -2.

7 0
3 years ago
(-7x^2+3) + (4x^2+2x-1);<br> Find the sum or difference.
ivann1987 [24]
(-7x² + 3) + (4x² + 2x - 1)

-7x² + 3 + 4x² + 2x - 1          

(-7x² + 4x²) + (3 - 1) + 2x      collect like terms

-3x² + 2x + 2     

hope this helps, God bless!
4 0
3 years ago
Other questions:
  • Find a product that only contains 2 and 9
    11·2 answers
  • A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the
    13·1 answer
  • HEY CAN ANYONE PLS HELP ME OUT IN DIS PLS!!!
    12·2 answers
  • PLEASE!!!I NEED HELP!!!!!!!
    14·1 answer
  • What does a small MAD tell you about a set of data
    14·1 answer
  • If you could be a doll and help me, that would be wonderful :)
    7·1 answer
  • A TV has a listed price of $520,95 before tax. If the sales tax rate is 6.25%, find the total cost of the TV with sales tax incl
    14·1 answer
  • Please help this is confusing
    15·1 answer
  • Part 2) pls help ASAP (BRAINLIST) 12 points
    15·1 answer
  • A 10 foot pole casts a 15 ft shadow. At the same time, a tree casts a 24 foot shadow. How tall is the tree
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!