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Vadim26 [7]
3 years ago
7

Write each expression in exponential form 2 x 2 x 2 x 2 =

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
4 0

Answer:

2^4

Step-by-step explanation:

there are four 2's being multiplied to each other.

You can combine them and say 2 x 2 x 2 x 2 = 2 ^4

kotykmax [81]3 years ago
4 0

Step-by-step explanation: Exponential form contains a base and an exponent. The base is the number that is multiplied so in this case, 2 is the base. Next we write the exponent which is the number of times that the base is multiplied. Since 2 is multiplied 4 times, the exponent is 4.

So in exponential form, 2 x 2 x 2 x 2 can be written as 2^{4}.

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What is the distance between the following points?
Anastasy [175]

Answer:

distance = 5

Step-by-step explanation:

Use Pythagorean Theorem or Distance Formula (which comes from Pythagorean Thm anyway) see image.

6 0
2 years ago
A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining th
Anuta_ua [19.1K]
These are two questions and two answers:

Question 1:

<span>A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work.

Answer: </span><span>The negative value of the radicand means that the equation does not have real solutions.

Explanation:

1) With radicand the statement means the disciminant of the quadratic function.

2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c

3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20

and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.

4) The negative value of the radicand means that the equation does not have real solutions.

Question 2:

Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answer:
</span> two solutions x = 1 and x = - 8/3x

Explanation:

1) I choose factoring (you may use the quadratic formula if you prefer)

2) Factoring

Given: 3x² + 5x − 8 = 0

Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0

Group: (3x² - 3x) + (8x - 8) = 0

Common factors for each group: 3x(x -1) + 8(x - 1) = 0

Coomon factor x - 1: (x - 1) (3x + 8) = 0

The two solutions are for each factor equal to zero:

x - 1 = 0 ⇒ x = 1
3x + 8 = 0 ⇒ x = -8/3

Those are the two solutions. x = 1 and x = - 8/3
4 0
3 years ago
There was one half of a pizza left. It was divided equally amongst 3 kids. What fraction of the pizza did each kid get?
alukav5142 [94]

Answer:

one-sixth

multiply the numerator (2) by the number of kids (3) because you are accounting for the fraction of the whole pizza. By doing this you should get 3/6. divide the denominator by the number of kids (3/3) getting you to a value of 1, and replace the denominator, making the amount of pizza one-sixth.

6 0
3 years ago
Can someone help me? I give you brainlest who ever types it first
Tatiana [17]

Answer:

Put the question that you need help on.

Step-by-step explanation:

3 0
2 years ago
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By law, a wheelchair service ramp may be inclined no more than . If the base of a ramp begins 15 feet from the base of a public
choli [55]

Answer:

The equation that can be used to determine the maximum height is given as h = 15tan4.76°

Step-by-step explanation:

The question given is lacking an information. Here is the correct question.

"By law, a wheelchair service ramp may be inclined no more than 4.76 degrees. If the base of the ramp begins 15 feet from the base of a public building, which equation could be used to determine the maximum height, h, of the ramp where it reaches the building's entrance"

The whole set up will give us a right angled triangle with the base of the building serving as the adjacent side of the triangle and the height h serving as the opposite side since it is facing the angle 4.76°

The side of the wheelchair service ramp is the hypotenuse.

Given theta = 4.76°

And the base of the building = adjacent = 15feet

We can get the height of the building using the trigonometry identity SOH CAH TOA.

Using TOA

Tan(theta) = opposite/Adjacent

Tan 4.76° = h/15

h = 15tan4.76°

The equation that can be used to determine the maximum height is given as h = 15tan4.76°

4 0
3 years ago
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