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Art [367]
3 years ago
11

Cathy attended a birthday party where the guests took their shoes off to jump in a bouncy castle. She made this graph to compare

the number of people at the party to the shoes on the rack.
What statement best describes the relationship?
A. The relationship is not proportional because the graph does not continue forever.
B. The relationship is not proportional because it does not include negative values.
C. The relationship is proportional because its graph is a straight line through the origin.
D. The relationship is proportional because the number of shoes is always greater than the number of people.
Mathematics
2 answers:
Alexeev081 [22]3 years ago
4 0

Answer:

Its C.

Step-by-step explanation:

irakobra [83]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Pizza

\\ x^{2} \neq  \lim_{n \to \infty} a_n

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Paha777 [63]
It would be 26 cents per shell
7 0
3 years ago
Read 2 more answers
How do I do a ratio?​
Kamila [148]
A ratio is comparing one thing to another (numbers in this case). You can write ratios in many ways
here’s three different ways.
There are four girls and and 2 boys.
The ratio of girls to boys is:
4:2
4 to 2
4/2

*THE RATIO MUST ALWAYS BE IN ORDER!!! If boys come first in the problem WRITE THE BOYS NUMBER FIRST! If girls come first, WRITE THE GIRLS FIRST IN THE RATIO!!! (That’s a very common mistake) hope this helps!
6 0
3 years ago
Solve for x in the equation x2 - 12x+36 = 90.
cupoosta [38]

Answer:

<u>The correct answer is A. x = 6 + 3 √10</u>

Step-by-step explanation:

Let's solve for x:

x² - 12x + 36 = 90

Factoring this quadratic equation, we have:

(x - 6) (x - 6) = 90

(x - 6)² = 90

x - 6 = √90 (Square root to both sides of the equation)

x = 6 + √90 (Adding 6 to both sides of the equation)

x = 6 + √9 * 10

x = 6 + √3² * 10

x = 6 + 3 √10

<u>The correct answer is A. x = 6 + 3 √10</u>

5 0
3 years ago
The area of the surface of the swimming pool is 210 square feet. What is the length d of the deep end (in feet)?
luda_lava [24]
The answer is 3.16 ft

The surface area (SA) of the rectangular prism is:
SA = 2lw + 2ld + 2wd

However, the pool is without the top side, so the area of the top side should be excluded from the surface area of the pool. The surface area of the rectangular pool is:
SA = lw + 2ld + 2wd

We know:
SA = 210 ft²
l = 9 ft
w = 10 ft
d = ?

210 = 9 * 10 + 2 * 9 * d + 2 * 10 * d
210 = 90 + 18d + 20d
210 - 90 = 38d
120 = 38d
d = 120/38
d = 3.16 ft
8 0
3 years ago
Element X decays radioactively with a half life of 14 minutes. If there are 760 grams of Element X, how long, to the nearest ten
Mkey [24]

Answer:

85.5 minutes

Step-by-step explanation:

The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;

Nt = N0 × e^(-λt)

Where;

Decay constant λ = ln(2)/th, substituting into the equation;

Nt = N0 × e^(-ln(2)t/th)

We need to make t the subject of formula;

Nt/N0 = e^(-ln(2)t/th)

ln(Nt/N0) = -ln(2)t/th

t = ln(Nt/N0) ÷ -ln(2)/th

Given;

Initial amount N0 = 760g

Final amount Nt = 11 g

Half life th = 14 minutes

the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;

t = ln(Nt/N0) ÷ -ln(2)/th

Substituting the given values;

t = ln(11/760) ÷ -ln(2)/14

t = 85.5 minutes

4 0
3 years ago
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