Answer:
See explanation
Step-by-step explanation:
Consider given statement "If a figure is a cube, then it has eight vertices" in math terms. Let
- statement p be "A figure is cube.";
- statement q be "A figure has 8 vertices."
Then the statement "If a figure is a cube, then it has eight vertices" can be written as
Converse (
): If a figure has eight vertices, then it is a cube.
Inverse (
): If a figure is not a cube, then it has not eight vertices.
Contrapositive (
): If a figure has not eight vertices, then it is not a cube.
The number of his next 42 field goals the kicker will not make will be 35.
<h3>What are ratio and proportion?</h3>
A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A kicker made 10 of his last 12 field goals.
Predict the number of his next 42 field goals the kicker will not make will be
Let x be the number of his next 42 field goals the kicker will not make.
Then we have
x / 10 ≠ 42 / 12
x ≠ 35
More about the ratio and the proportion link is given below.
brainly.com/question/14335762
#SPJ1
The answer to the question is 13
Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:
d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
<span>Let the number of nickles be x
Let the number of pennies be y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
nickles x $0.05 $0.05x
pennies y $0.01 $0.01y
-------------------------------------------
TOTALS 56 ----- $1.52
The first equation comes from the second column.</span>
