Answer:
none
Step-by-step explanation:
y = -4x^2 +3x-2
To find the x intercepts, let y =0
0 = -4x^2 +3x-2
Using the discriminant
a=-4, b=3 c=-2
b^2 -4ac
3^2 -4(-4)(-2)
9 -32
-23
Since this is negative all the roots are complex, so it has no real roots
none
Answer:
3/8 tan²A
Step-by-step explanation:
sinB = √3/2 sinA and cos B= √2 cosA (from given)
1) We calculate the volume of a metal bar (without the hole).
volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²
Volume=(0.935 m²)(2 m)=1.871 m³
2) we calculate the volume of the parallelepiped
Volume of a parallelepiped= area of the section x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³
3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar - volume of a parallelepiped
Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³
4) we calculate the mass of the metal bar
density=mass/ volume ⇒ mass=density *volume
Data:
density=8.10³ kg/m³
volume=1.551 m³
mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg
answer: The mas of the metal bar is 12.408x10³ kg or 12408 kg
Answer:
D
Step-by-step explanation:
EXPLORE test is the college test ACT's "prep" version mostly for 8th and 9th graders.
ASVAB (Armed Services Vocational Aptitude Battery) test is used for military entrance exam.
PLAN is also like EXPLORE that it is a "prep" test for ACT but usually given to sophomore (10th grade) students. This has been discontinued from 2014, though.
SAT is a standardized test administered by College Board and is a widely used common Undergraduate University admissions exam. Colleges use this to make admissions decisions.
Thus, D is the correct choice.
Answer:
All real numbers
Let's find the critical points of the inequality.
−4x+7=17
−4x+7+−7=17+−7(Add -7 to both sides)
−4x=10
−4x−1=10−1
(Divide both sides by -1)
4x=−10
4x=−10(Solve Exponent)
log(4x)=log(−10)(Take log of both sides)
x*(log(4))=log(−10)
x=log(−10)log(4)
x=NaN