Simplify

1/2 + 2/5

A) 1/10
B) 2/7
C) 3/7
D) 9/10

Answer:

[tex]{ \rm{ \{ - 2 \frac{3}{11} \times ( - 4) \}. \{1 \frac{13}{20} \times ( - 10) \} }} \\ \\ = { \rm{9 \frac{1}{11} \times - 16 \frac{1}{2} }} \\ \\ { \boxed{ \rm{ \: = - 150 \: \: }}}[/tex]

9514 1404 393

Answer:

  A. 50 ft square

  B. 12√2 ft square

Step-by-step explanation:

These problems are basically the same, so have the same solution. The rectangle with maximum area for a given perimeter will have the same shape as the one with minimum perimeter for a given area.

We can find it generically. Let p represent the perimeter of a rectangular area with one side that measures x. The area will be ...

  A = x(p/2 -x) = -x^2 +(p/2)x

The area will be maximized when dA/dx = 0:

  dA/dx = -2x +p/2 = 0

  p/2 = 2x . . . . . add 2x

  x = p/4 . . . . . . divide by 2

The other dimension is ...

  p/2 -x = p/2 -p/4 = p/4

The dimensions of the maximum area for perimeter p are ...

  p/4 × p/4 . . . . . . . a square

__

$2400 worth of fence at $12 per foot is 2400/12 = 200 ft of fence. The largest possible area that can be enclosed will have dimensions of 200 ft/4 = 50 ft square:

  50 ft × 50 ft

__

The perimeter of the garden will be at its shortest when the shape of the garden is square.

  √(288 ft²) = 12√2 ft

The dimensions of the garden that will minimize the cost are ...

  12√2 ft × 12√2 ft

Answer:

Step-by-step explanation:

-34 = (9/5)(-20) + b

b = -34 + 36 = 2

y = (9/5)x + 2

Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.

Number of yellow markers given = 16

Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:

= 1/2 × 16

= 8 markers

Therefore, the total markers will be:

= 8 + 16 = 24

In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.

Read related link on:

https://brainly.com/question/25265419

Answer:

c is the answer

Step-by-step explanation:

Answer:

7.76 minutes

Step-by-step explanation:

The +51 is regardless (being the y intercept) so it does not affect our answer. If the employee has to drive one mile (x=1) it will take 7.76 + 51 min to get there. If they have to drive 0 miles (x=0) it will only take 51 min. This is a difference of 7.76. You really just need to take the slope (I just used this example to make it make more sense) as x is the number of miles the employee has to drive, and therefore that times 7.76 would be how much longer it would take to drive to work.

The velocity of the ball in ft/sec, when t = 1 second is equal to -12 ft/sec.

Given the following data:

To calculate the velocity of the ball in ft/sec, when t = 1 second:

Mathematically, the velocity of an object or physical body is equal to the differentiation of it's position function.

Velocity = s'(t)

Velocity = [tex]s(t) = -16t^2 + 20t + 100[/tex]

[tex]Velocity = -32t + 20[/tex]

Substituting the value of time (t), we have:

[tex]Velocity = -32(1) +20\\\\Velocity =-32+20[/tex]

Velocity = -12 ft/sec

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Answer: you will need 10

Step-by-step explanation:

I had the same problem on my hw this is what i got tell i think its correct:

Edit:

C(t)=At/T^2+B

a=36

b=9

t= how long it takes to enter blood stream

c=36/t^2 + 9

I found T to be 6 becuase I searched it up so

36/6^2=36/36=1

c=9+1

C=10

New awnser is 10

Answer:

$132.12

Step-by-step explanation:

19.43 pesos = $1

2567 pesos = ?

1. First divide 2567 by 19.43 to find the exact number of dollars:

2567 ÷ 19.43 = 132.1152856

2. Round this value to 2 decimal places:

132.1152856 ≈ $132.12

Step-by-step explanation:

19.43 pesos = 1 U.S. dollar

So 1 peso = [tex]\frac{1}{19.43}[/tex] U.S. dollar

2567 pesos = [tex](\frac{1}{19.43} )(2567)[/tex] U.S. dollar

= 132.115286 U.S. dollar

please give me a brainliest answer

Step-by-step explanation:

she missed 45%, so that means she made 55% of her free throws.

and these 55% correlate to the absolute number of 176 successful throws.

so,

55% = 176

1% = 55%/55 = 176/55

100% = 1%×100 = 176×100/55 = 320

so, she attempted 320 free throws in total.

Answer: 39

Step-by-step explanation: 34-18=16+23=39. Remember, 2 negatives equals a positive.

Answer: 39 cus 34-18=16+23=39

Step-by-step explanation:

Answer:

240,300

[tex] \frac{4\pi}{3} . \: \: \frac{5\pi}{3} [/tex]

Answer:

what the hell

Step-by-step explanation:

97.07%

Step-by-step explanation:

total number of students is

696+21=717

696/717×100=97.07

answer is 97.07%

Answer:

a) x^3 b) y^5

Step-by-step explanation:

you can combine the x's and y's to make a exponent equal to the number of x's or y's.

Hi there! :)

We are given 2 points. It means we can use the following formula to find the slope:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{0-(-6)}{-2-0\\} \\\frac{0+6}{-2}\\\frac{6}{-2} \\-3[/tex]

So the slope is -3

First, let's write the equation of the line in point-slope form.

y-y1=m(x-x1)

y-(-6)=-3(x-0)

y+6=-3(x+0)

y+6=-3x+0

y=-3x+0-6

y=-3x-6

Hope this helps!

~Just an emotional teen who listens to her favorite song "Try Everything"

[tex]SilentNature[/tex]

Derivatives can be calculated from graphed functions.

The values of the derivatives are:

The given parameter is:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Start by calculating the equations of f(x) and g(x)

Graph f(x)

The slopes of f(x) are: 3/2 and -3/2

So, the equations are:

[tex]\mathbf{f(x) = \frac{3}{2}x,\ 0 \le x \le 2}[/tex]

[tex]\mathbf{f(x) = -\frac{3}{2}x,\ x \ge 2}[/tex]

Graph g(x)

The slope of g(x) is: -1/2

So, the equation is:

[tex]\mathbf{g(x) = -\frac 12x}[/tex]

For x = 1 and x = 2, we have:

So, we have:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Where:

[tex]\mathbf{f(x) = \frac{3}{2}x\ 0 \le x \le 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]

[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes

[tex]\mathbf{h(x) = \frac{3}{2}(-\frac{1}{2}x)}[/tex]

Open brackets

[tex]\mathbf{h(x) = -\frac{3}{4}x}[/tex]

Differentiate

[tex]\mathbf{h'(x) = -\frac{3}{4}}[/tex]

So:

[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex]

[tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex]

For x = 3, we have:

[tex]\mathbf{h(x) = f(g(x))}[/tex]

Where:

[tex]\mathbf{f(x) = -\frac{3}{2}x\ x \ge 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]

[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes

[tex]\mathbf{h(x) = -\frac{3}{2}(-\frac{1}{2}x)}[/tex]

[tex]\mathbf{h(x) = \frac{3}{4}x}[/tex]

Differentiate

[tex]\mathbf{h'(x) = \frac{3}{4}}[/tex]

Substitute 3 for x

[tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]

Hence, the values of the derivatives are:

[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex], [tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex] and [tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]

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Answer:

4(5x-8) (x+5)

Step-by-step explanation:

4(5x^2+17x-40)

4(5x-8) (x+5)

Answer:

x = 14.5

can also be written as;

x = 29/2

Step-by-step explanation:

Answer:

9 x 23.79 = $214.11

Answer:

Your answer is C.

Step-by-step explanation:

Answer:d.2:00am

20:40 is 8:40 pm in regular time. if you add five hours to the it will be 1:40am and add another 20 minutes it will end up being 2:00am

Answer:

Its D

Step-by-step explanation:because the ruler is small and the other tools are not for it porpuse

Answer:

18.91304348

Step-by-step explanation:

Just divide it and you get the answer. When you divide something by a decimal, it acts more like multiplying and less like dividing lol (cuz the answer is bigger than the other 2 numbers)

LORAN follows an hyperbolic path.

The equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

The coordinates are given as:

[tex]\mathbf{(x,y) = (-60,0)\ (60,0)}[/tex]

The center of the hyperbola  is  

[tex]\mathbf{(h,k) = (0,0)}[/tex]

The distance from the center to the focal points is given as:

[tex]\mathbf{c = 60}[/tex]

Square both sides

[tex]\mathbf{c^2 = 3600}[/tex]

The distance from the receiver to the transmitters  is given as:

[tex]\mathbf{2a = 100}[/tex]

Divide both sides by 2

[tex]\mathbf{a = 50}[/tex]

Square both sides

[tex]\mathbf{a^2 = 2500}[/tex]

We have:

[tex]\mathbf{b^2 = c^2 - a^2}[/tex]

This gives

[tex]\mathbf{b^2 = 3600 - 2500}[/tex]

[tex]\mathbf{b^2 = 1100}[/tex]  

The equation of an hyperbola is:

[tex]\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}[/tex]

So, we have:

[tex]\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}[/tex]

[tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

Hence, the equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

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The arc length is 7/2 pi.

Answer:

how many boxes is the line on