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miss Akunina [59]
3 years ago
11

How can i write 9,540,000 in expanded form using exponents to show powers of ten

Mathematics
1 answer:
Oxana [17]3 years ago
3 0
9 to the 6th power + 5 to the 5th power+ 4 to the 4th power + 0 to the 3rd power + 0 to the 2nd power+ 0 to the 1s power.
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<img src="https://tex.z-dn.net/?f=%20x%20-%202%5Csqrt%7Bx%20-%203%20%3D%200%7D%20" id="TexFormula1" title=" x - 2\sqrt{x - 3 = 0
GrogVix [38]

Answer:

No Real Solutions

Step-by-step explanation:

So we have:

x-2\sqrt{x-3}=0

First, determine the domain restrictions. The expression under the radical cannot be less than 0. Therefore:

x-3\geq 0\\x\geq 3

Therefore, our final answers must be greater than or equal to 3:

Now, going back to the original equation, subtract x from both sides:

-2\sqrt{x-3}=-x

Now, square both sides:

4(x-3)=x^2

Distribute:

4x-12=x^2

Subtract 4x and add 12 to both sides:

0=x^2-4x+12

This isn't factor-able. Let's use the quadratic formula. a is 1, b is -4 and c is 12:

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

Substitute:

x=\frac{4\pm\sqrt{(-4)^2-4(1)(12)}}{2(1)}

Simplify the radical:

x=\frac{4\pm\sqrt{-32}}{2(1)}

The number under the radical is negative. In other words, there are no real solutions.

7 0
3 years ago
Need help with this question
Debora [2.8K]

Answer:

y=-1/2n+44

Step-by-step explanation:

The number of bean stalks, n, represents the x values

The yield, y, represents the y values

After reading the problem, we have two coordinates: (30,29) and (32, 28) Because this problem is asking for y=mn+b, we have to find the slope. How do we find the slope? We do so by using the slope formula y2-y1/x2-x1. Now let's input the coordinates into this formula.

1.) 28-29/32-30 = -1/2

Let's plug -1/2 into y=mn +b

2.) y=-1/2n+b

Now we have to find what b ( y intercept) equals. To find B, we plug a coordinate into x and y. Let's use (30,29)

3.) 29 = -1/2(30)+b

29 = -15 +b

44 = b

We have now found the linear relationship form for this problem: y=-1/2n +44

8 0
2 years ago
Change the following numbers to decimals and round to the nearest hundredth 3÷4 and ✔10​
8_murik_8 [283]

Answer:

0.75 and 10.00

Step-by-step explanation:

4 0
3 years ago
4. Elena va a una fiesta pero no sabe que ponerse, así que lanza un moneda y un dado al
taurus [48]

Answer:

  • <u>1/4</u>

Explanation:

Hola. Puesto que tu pregunta está en español, te responderé en el mismo lenguage.

Estas son las posibilidades dadas por la combinación moneda/dado

                                      Número de combinaciones

Moneda: prenda

    Cara: vestido                 1 de 2:          1/2

     Sello: falda                    1 de 2:          1/2

Dado: color

    Par: negro                      3 de 6:          3/6

    Impar: café                     3 de 6:         3/6

En total son 2 × 6 resultados: 12 (incluye resultados repetidos, no son todos diferentes entre sí)

¿Cuántas combinaciones tienen vestido y color negro?

  • P(Vestido∩negro) = ?

Es decir: moneda = cara y dado = par

  • Son 1 × 3 = 3.

Por tanto, la probabilidad de vestido negro es:

  • 3 de 12 = 3/12 = 1/4 ← respuesta

Hay otras formas de resolverlo. Por ejemplo;

Como los resultados de lanzar la moneda y el dado son independientes:

  • P(Vestido∩negro) = P(Vestido) × P(Negro)
  • P(Vestido) = 1/2
  • P(Negro) = 3/6 = 1/2
  • P(Vestido) × P(Negro) = 1/2 × 1/2 = 1/4 ← mismo resultado
8 0
4 years ago
On wends day 72% of the customers who bought gas at the gas station made additional purchases.There were 250 customers who bough
lys-0071 [83]

Answer:

A = 180 customers.

Step-by-step explanation:

Let the number of customers that made additional purchases be A.

Given the following data;

Percentage = 72% = 72/100 = 0.72

Total number of customers = 250

To find the number of customers that made additional purchases;

A = 0.72 * 250

A = 180 customers.

Therefore, 180 customers made additional purchases on Wednesday.

3 0
3 years ago
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