4b² + 8b + 3 = 0
4b² + 2b + 6b + 3 = 0
2b(2b + 1) + 3(2b + 1) = 0
(2b + 3)(2b + 1) = 0
b = -1/2 or b = -3/2
Answer:
<em>I will need to buy 22.5 pounds of turkey and pay $23.63</em>
Step-by-step explanation:
<u>Proportions</u>
Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat
pounds of turkey.
There are going to be 15 people at the dinner, thus the total turkey needed is:
The turkey costs $1.05 per pound, thus the total cost is
22.5*$1.05 = $23.63
I will need to buy 22.5 pounds of turkey and pay $23.63
What fractions? I see nothing...Do you have the choices?
Answer:
There is sufficient evidence at the 0.05 level
Null hypothesis ; H0 : p = 0.47
Alternative hypothesis : H1 : p ≠ 0.47
Step-by-step explanation:
percentage favoring construction of adjoining community = 47%
level = 0.05
To determine if the 0.05 confidence level is enough to support the major's claim we have to state the Null and alternative hypothesis
Null hypothesis ; H0 : p = 0.47
Alternative hypothesis : H1 : p ≠ 0.47
Answer:
5.44 cm³
Step-by-step explanation:
The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.
The area of a hexagon with side length s is given by ...
A = (3/2)√3·s²
For s=1 cm, the area is ...
A = (3/2)√3(1 cm)² = (3/2)√3 cm²
__
The area of a circle is given by ...
A = πr²
The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...
A = π(0.5 cm)² = 0.25π cm²
__
The volume is the face area multiplied by the length, so is ...
V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³
V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³
The volume of the metal is about 5.44 cm³.
