Simplify. Rewrite the expression in the form 5^n. 5^10/5^3

Help me please i need a respond for each of these quetions

yKpoI14uk [10]

make this question worth more points and people will answer it

5 0

4 years ago

Find the distance between the two points.

Law Incorporation [45]

Answer: 89 will go in the box

This means the exact distance between the two given points is $\sqrt{89}$ which approximates to roughly 9.4339811

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Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

$d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\$

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Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get $\sqrt{89}$ as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

8 0

3 years ago

During a football game a concert in stenciled family three hamburgers and two white dogs for a total of $13 and another family t

jeka94

Answer:

Price of hamburgers = $2

Price of white-dogs = $3

Step-by-step explanation:

Let

The number price of hamburgers be x

The number price of white-dogs be y

Then the first family buys 3 hamburgers and 2 white -dogs for $13

3x + 2y = 13-----------------------------(1)

Another first family buys 2 hamburgers and 5 white -dogs for $16

2x + 5y = 16----------------------------(2)

To solve let us multiply eq(1) by 2 and eq(2) by 3, we get

6x + 4y = 26-----------------------------(3)

6x + 15y = 48----------------------------(4)

subracting (3) from (4)

6x + 15y = 48

6x + 4y = 26

(-)

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11y = 22

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$y =\frac{22}{11}$

y =2

Now substituting the value of y in eq(1),

3x + 2(2) = 13

3x + 4 = 13

3x = 13-4

3x = 9

x = $\frac{9}{3}$

x =3

4 0

4 years ago

Simplify.... please help

atroni [7]

You answer should be B because you would flip the fraction so the powers would become positive and then take 3 from 5 to be left with 8^2 on the bottom with one on the top.

4 0

3 years ago

Read 2 more answers

1. John began his job making $25 the first day. After that he was paid $6.75 per hour. a) Use the equation y 6.75x +25 to comple

iren [92.7K]

Answer:

a. Chart (attached)

b. and c. graph attached

Step-by-step explanation:

a. We use the equation given to us and plug in the values of "x" that have been shown to find the corresponding values of y.

So, when x=0, $y=6.75\times 0+25=25$

when x=20, $y=6.75\times 20+25=160$

when x=40, $y=6.75\times 40+25=295$

b. The graph has been shown in a similar manner. All the three points of part a are connected to form the straight line y=6.75x+25. So, we have (0,25), (20,160) and (40, 295)

c. The y axis is the earnings in dollars and the x axis is the number of hours worked.

3 0

3 years ago