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Scilla [17]
3 years ago
14

How can you represent 100 as an exponential expression with 10 as the base

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Given:

The number of 100.

To find:

The given number as an exponential expression with 10 as the base.

Solution:

We have,

Given number = 100

It can be written as

100=10\times 10

100=10^{1+1}                   [\because a^m\cdot a^n=a^{m+n}]

100=10^2

Here, base is 10 and exponent is 2.

Therefore, the given number can be written as 10^2.

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What is the product of (−4)⋅(−4)⋅(−4)⋅y⋅y using exponents
Amiraneli [1.4K]

Answer:

(-4)^{3*y^{2}

This should be right.

3 0
4 years ago
Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0
3 years ago
A scale drawing of a door is 2 cm high. If the scale is 1 cm = 4 meters, what is the actual height of the door?
Vanyuwa [196]
2*4= 8 meters

You could multiply every centimeter by the scale of 4 because 1 cm= 4 meters.

I hope this helps!
~kaikers
4 0
3 years ago
Read 2 more answers
The sum of two numbers is 150 and the ratio of the same two numbers is 3 to 2 . find the bigger number
krek1111 [17]
Ratio- 3: 2

3x + 2x = 150
5x = 150
x = 30

3x is the larger number so plug in the x value with 30.

3x
3 x 30
90

The larger number is 90.

Hope I helped.. ^^
8 0
3 years ago
Read 2 more answers
45/14 as a decimal rounded to the nearest 10th
ozzi

Answer:

3.2

Step-by-step explanation:

3.21428571429 is the exact answer and rounded to the nearest tenth is the first number after the decimal.

4 0
2 years ago
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