Answer:
If you were to cut it in half (3.5 x 2)
The answer would be 7
Step-by-step explanation:
Answer:
19ft
Step-by-step explanation:
Given the height of a ball above the ground after x seconds given by the quadratic function y = -16x2 + 32x + 3, we can find the maximum height reached by the ball since we are not told what to look for.
The velocity of the ball is zero at maximum height and it is expressed as:
V(x) = dy/dx
V(x) = -32x+32
Since v(x) = 0
0 = -32x+32
32x = 32
x = 32/32
x = 1s
Get the height y
Recall that y = -16x² + 32x + 3.
Substitute x = 1
y = -16(1)²+32(1)+3
y = -16+32+3
y = -16+35
y = 19ft
Hence the maximum height reached by the ball is 19ft
Answer:a+b ≥40
5+a≤ b
2.50a+1.50b≤ 105
i believe
Step-by-step explanation:
The equations would be:
a+b ≥40 (cupcakes +cookies must be at least 40 total)
5+a≤ b
(At most 5 more cupcakes then cookies)
2.50a+1.50b≤ 105
(The cost of cookies and cupcakes must be less than $105)
Answer:
- A. if table is extended
- D. if only the values in the table considered.
Step-by-step explanation:
We can see on the graph of g(x) that y-intercept is (0, 2)
The table doesn't have the value for x = 0 but we can observe that it is exponential function and has the formula:
<u>We can find its y-intercept:</u>
<u>We can compare and see that:</u>
So the function g(x) has a greater y-intercept. This is option A.
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Note: If only the values in the table considered, then correct option is D.
Answer:
P(A) = 1201/5525 or 0.2174
The probability that at least one ace will be in the three sampled cards is 1201/5525 or 0.2174
Step-by-step explanation:
Let P(A) represent the probability that at least one ace will be in the three sampled cards.
P(A) = 1 - P(A') ......1
Where;
P(A') is the probability that none of the three cards will be ace.
Number of ace in a standard 52 cards = 4
Number of non-ace in a standard 52 cards = 52-4 =48
P(A') = 48/52 × 47/51 × 46/50
P(A') = 4324/5525 = 0.7826
Substituting, the value into equation 1;
P(A) = 1 - P(A')
P(A) = 1 - 4324/5525
P(A) = 1201/5525 or 0.2174
The probability that at least one ace will be in the three sampled cards is 1201/5525 or 0.2174
