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2 years ago

10

Julian’s brother is performing some calculations on his calculator. Julian sees that the result in the display is 4.13E7. How ca

n this number be expressed in standard notation?

1 answer:

ElenaW [278]2 years ago

8 0

I think it would be 413*10^5

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The two rectangles shown have equal areas. Find the value of x

Tema [17]

Answer:

x=18

Step-by-step explanation:

We need to find the areas of the rectangles

1st rectangle

A= l*w

A = (2x+4)*9

= 18x+36

2nd rectangle

A = l*w

= 15*(3x-30)

= 45x-450

Since the area of the rectangles are equal, we set these two equations equal

18x+36 = 45x-450

Subtract 18x from each side

18x-18x+36 = 45x-18x-450

36 = 27x-450

Add 450 to each side

36+450 =27x

486 = 27x

Divide by 27 on each side

486/27 = 27x/27

18=x

7 0

2 years ago

Sunny_sXe [5.5K]

The solutions of the equations are -1.3 and -7.7

Step-by-step explanation:

The quadratic formula of solving the quadratic equation

ax² + bx + c = 0, where a, b and c are constant is:

$x=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}$

To solve the quadratic equation by using the quadratic formula

1. Find the values of a , b and c from the equation

2. Substitute the values of a , b and c in the quadratic formula

3. Find the two values of x

∵ x² + 9x + 10 = 0

∴ a = 1 , b = 9 and c = 10

∵ $x=\frac{-9+\sqrt{(9)^{2}-4(1)(10)}}{2(1)}$

∴ $x=\frac{-9+\sqrt{81-40}}{2}$

∴ $x=\frac{-9+\sqrt{41}}{2}$

∴ x = -1.3

∵ $x=\frac{-9-\sqrt{(9)^{2}-4(1)(10)}}{2(1)}$

∴ $x=\frac{-9-\sqrt{81-40}}{2}$

∴ $x=\frac{-9-\sqrt{41}}{2}$

∴ x = -7.7

The solutions of the equations are -1.3 and -7.7

Learn more:

You can learn more about quadratic equation in brainly.com/question/8196933

#LearnwithBrainly

6 0

3 years ago

in one day in, Annie traveled five times the sum of the number of hours Brian traveled and 2. together the travel 20 hours. find

svlad2 [7]

5B + B = 20

6B = 20

B = 20 / 6

= 10/ 3 hrs

A = 5 ( 10/3 + 2)

= 5 (16/3)

= 80 / 3 hrs

Brian traveled 10/3 hours and Annie traveled 80/3 hours.

3 0

2 years ago

Compute the product AB by the definition of the product ofmatrices, where Ab1 and Ab2 are computed separately, and by therow-

nasty-shy [4]

Answer:

$A * B = \left[\begin{array}{ccc}10&-6\\8&5\\19&-10\end{array}\right]$

Step-by-step explanation:

Given

$A =\left[\begin{array}{cc}2&-2\\3&4\\4&-3\end{array}\right]$

$B = \left[\begin{array}{cc}4&-1\\-1&2\end{array}\right]$

Required

$AB$

To do this, we simply multiply the rows of A by the column of B;

So, we have:

$A * B = \left[\begin{array}{ccc}2*4 + -2*-1&2*-1+-2*2\\3*4+4*-1&3*-1+4*2\\4*4-3*-1&4*-1-3*2\end{array}\right]$

$A * B = \left[\begin{array}{ccc}10&-6\\8&5\\19&-10\end{array}\right]$

6 0

2 years ago

Convert the decimal expansion 0.291666... to a fraction

Alexus [3.1K]

7/24
You could try rounding up to 0.292 first and try guessing it it gets to 73/250 which you could guess into 70/240.

3 0

2 years ago

Read 2 more answers