Answer:
3
Step-by-step explanation:
The number is 3.
Step-by-step explanation:
Finding the Number
To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.
Equation:
Let "x" be the number.
4 is divided by a number - 4/x
3 divided by the number decreased by 2 - 3/x-2
"4 is divided by a number is equal to 3 divided by the number decreased by 2"
4/x = 3/x-2
Solution:
Cross multiply.
4/x = 3/x-2
x(3) = 4(x-2)
3x = 4x - 8
(Combine similar terms.)
3x - 4x = - 8
- x = - 8
- x/- 1 = - 8/- 1
x = 8
Final Answer:
8
Checking:
4/x = 3/x-2
4/8 = 3/8-2
1/2 = 3/6
1/2 = 1/2 ✔
Answer:
Quadrilateral
Step-by-step explanation:
The definition of a parallelogram is a quadrilateral that has two sets of parallel sides.
6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.
<h3>What is percentage?</h3>
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that the battery dropped by 33%, from 100% to 67%.
Let's suppose x hours Zoey can expect from the tablet on a full battery charge.
The value of x can be calculated using:
x = (2×100)/33
x = 200/33
x = 6.06 ≈ 6 hours
Thus, 6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.
Learn more about the percentage here:
brainly.com/question/8011401
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Answer:
a. 2^(x-2) = g^(-1)(x)
b. A, B, D
Step-by-step explanation:
the phrasing attached in the image is flagged as inappropriate, so i will be replacing it with g(x) and its inverse with g^(-1)(x)
1. replace g(x) with y and solve for x
y = log₂(x) + 2
subtract 2 from both sides to isolate the x and its log
y - 2 = log₂(x)
this text is replaced by the second image -- it was marked as inappropriate
thus, 2^(y-2) = x
replace x with g^(-1)(x) and y with x
2^(x-2) = g^(-1)(x)
2. plug this in to points A, B, C, D, E, and F
A: (2,1)
plug 2 in for x
2^(2-2) = 2⁰ = 1 so this works
B: (4, 4)
2^(4-2) = 2²= 4 so this works
C: (9, 3)
2^(9-2) = 2⁷ = 128 ≠ 3 so this doesn't work
(5, 8)
2^(5-2) = 2³ = 8 so this works
E: (3, 5)
2^(3-2) = 2¹ = 2 ≠ 5 so this doesn't work
F: (8, 5)
2^(8-2) = 2⁶ = 64 ≠ 5 so this doesn't work
Answer: 2,849.6 mm^3
Step-by-step explanation:
Volume of a cone : 3.14 • r^2 • h/3
h being height and r being radius
now substitute
3.14 • 5.5^2 • 90/3
now solve
3.14 • 30.25 • 30
2849.55
round to tenths
2849.6
