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3 years ago

5/2 divided by 1/2=?

Mathematics

2 answers:

Irina18 [472]3 years ago

7 0

1.25 search up how to divide fractions is real easy

lara31 [8.8K]3 years ago

3 0

5/4 or 1.25 its super easy

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A 26-feet board is cut into 3 lengths where the first length is x, the second piece is 3 feet less than twice the first and the

Gnom [1K]

We now have three equations, so we can solve them.

Let's define the length of the 3 boards in terms of x:

F=x

S=2x-3

T=2

F+S+T =26

x+2x-3+2 =26

3x =26+1=27

x =27/3 = 9 feet for First section

2x-3 =18-3 = 16 feet = Second

2 = Third

9+16+2 = 27

27 is the length of the shortest piece.

Learn more about the length at

brainly.com/question/2217700

#SPJ4

4 0

2 years ago

Consider the following equation. f(x, y) = e−(x − a)2 − (y − b)2 (a) Find the critical points. (x, y) = a,b (b) Find a and b suc

murzikaleks [220]

$f(x,y)=e^{-(x-a)^2-(y-b)^2}\implies\begin{cases}f_x=-2(x-a)e^{-(x-a)^2-(y-b)^2}\\f_y=-2(y-b)e^{-(x-a)^2-(y-b)^2}\end{cases}$

Critical points occur where $f_x=f_y=0$ . The exponential factor is always positive, so we have

$\begin{cases}-2(x-a)=0\\-2(y-b)=0\end{cases}\implies(x,y)=\boxed{(a,b)}$

b. As the previous answer established, the critical point occurs at (-3, 8) if $\boxed{a=-3}$ and $\boxed{b=8}$ .

c. Check the determinant of the Hessian matrix of $f(x,y)$ :

$\mathbf H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}$

The second-order derivatives are

$f_{xx}=(-2+4(x-a)^2)e^{-(x-a)^2-(y-b)^2}$

$f_{xy}=4(x-a)(y-b)e^{-(x-a)^2-(y-b)^2}$

$f_{yx}=4(x-a)(y-b)e^{-(x-a)^2-(y-b)^2}$

$f_{yy}=(-2+4(y-b)^2)e^{-(x-a)^2-(y-b)^2}$

so that the determinant of the Hessian is

$\det\mathbf H(x,y)=f_{xx}f_{yy}-{f_{xy}}^2=\left((4(x-a)^2-2)(4(y-b)^2-2)-16(x-a)^2(y-b)^2\right)e^{-2(x-a)^2-2(y-b)^2}$

$\det\mathbf H(x,y)=(16(x-a)^2(y-b)^2-8(x-a)^2-8(y-b)^2)+4)e^{-2(x-a)^2-2(y-b)^2}$

The sign of the determinant is unchanged by the exponential term so we can ignore it. For $a=x=-3$ and $b=y=8$ , the remaining factor in the determinant has a value of 4, which is positive. At this point we also have

$f_{xx}(-3,8;a=-3,b=8)=-2$

which is negative, and this indicates that (-3, 8) is a local maximum.

8 0

4 years ago

jason deposit $5000 in a bank account that will pay him 4% simple interest annually if jason deposits no more than the initial $

kotegsom [21]

$\sf I=prt$

Plug in what we know:

$\sf I=5000(0.04)(5)$

Multiply:

$\sf I=1000$

Add this to the original amount.

$\sf 5000+1000=\boxed{\sf \$ 6000}$

So he will have $6000 in his account after 5 years.

6 0

3 years ago

Maxie spent 15 hours doing her homework last week this week she spent 18 hours doing her homework she says that she spent 120% m

scZoUnD [109]

Answer: She's wrong.

Step-by-step explanation:

Numbers of hours used in solving homework last week = 15

Numbers of hours used in solving homework this week = 18

Percentage increase = (18 - 15) / 15 × 100

= 3/15 × 100

= 1/5 × 100

= 20%

Since Maxie said that she spent 120% more time doing homework this week, she's wrong. She only spent 20% more.

5 0

3 years ago

Rick knows that 1 cup of glue weighs 1/18 pound. He has 2/3 pound of glue. How many cups of glue does he have?

Basile [38]

$\begin{array}{ccc}1\ cup&-&\frac{1}{18}\ lb\ (pound)\\\\x\ cup&-&\frac{2}{3}\ lb\ (pounds)\end{array}\ \ \ \ \ \ cross\ multiply\\\\\\\frac{1}{18}x=1\times\frac{2}{3}\\\\\frac{1}{18}x=\frac{2}{3}\ \ \ \ \ \ |multiply\ both\ sides\ by\ 18\\\\18\times\frac{1}{18}x=18\times\frac{2}{3}\\\\x=6\times2\\\\\boxed{x=12}\\\\Answer:He\ has\ 12\ cups\ of\ glue.$

6 0

4 years ago