Answer: $1342.35
Step-by-step explanation: Not how most people would go about solving this, but what I did was divide 1278 by 100 to get how much 1% is. I then multiplied that by 5 to get the total of 5% of it. All i needed to do after that was add it onto 1278 giving me the answer.
Answer:
Angle between vectors u and v: 26.56 degrees
Step-by-step explanation:
I just recently did this question, so here's my response and hopefully that helps you:
Vector u is <-3,-4> and vector v is <-2,-1>. To find the angle between the two vectors, you first need to find their dot product. This means that u*v = <-3,-4> * <-2,-1> = (-3)(-2) + (-4)(-1) = 6 + 4 = 10. Second, you find the product of each of the vectors' magnitudes. The magnitude for vector u is ||u|| = sqrt((-3)^2 + (-4)^2) = sqrt(9+16) = sqrt(25) = 5. The magnitude for vector v is ||v|| = sqrt((-2)^2 + (-1)^2) = sqrt(4+1) = sqrt(5). The product of the magnitudes would thus be ||u||||v|| = 5sqrt(5). Third, divide the dot product by the product of the magnitudes which would be u*v/||u||||v|| = 10/5sqrt(5) = 2sqrt(5)/5. Lastly, you take the arccosine of the result which would be theta=cos^-1(2sqrt(5)/5) = 26.56 degrees, which is the angle between vectors u and v.
Answer: -32
Step-by-step explanation:
35 (t + 29) = −3(3 − t)
Open the brackets
35t+1015= -9+3t
Collect like terms
35t-3t=-9-1015
32t= -1024
Divide both side by 32
32t/32 = -1024/32
t= -32
First, let us write the place values of 4 in A and B.
In A, the number is 16.942 and the place value of 4 is 0.04.
In B, the number is 9.214 and the place value of 4 is 0.004.
It is clear that 0.04 > 0.004.
Hence, statement C best compares the value of 4 in each number.
Answer:
x =
Step-by-step explanation:
Given
4x - - 2x - =
Multiply through by 6 to clear the fractions
24x - 5 - 12x - 1 = 4
12x - 6 = 4 ( add 6 to both sides )
12x = 10 ( divide both sides by 12 )
x = =