Answer:
The total population of these two states is:
Therefore, option C is correct.
Step-by-step explanation:
- The population of California is approximately 38,040,000.
- The population of Texas is about 2.606 × 10⁷.
Writing the population of California i.e.38,040,000 in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right side as they're after the decimal point now.
i.e.
38,040,000 = 3.804 x 10⁷
So adding 3.804 x 10⁷ and 2.606 × 10⁷
i.e.
Thus, the total population of these two states is:
Therefore, option C is correct.
The number of hours that students have to work on homework will be 1/3 hours.
<h3>What is subtraction?</h3>
It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
Mr. K's maths class is 1 and 1/4 hours long.
After working problems on the board for 55 minutes or 11 / 12 hour.
He gave the students the rest of the class period to work on homework.
Then the number of hours that students have to work on homework will be
⇒ 1 + 1/4 - 11/12
⇒ 5 / 4 - 11/ 12
⇒ (15 - 11) / 12
⇒ 4/12
⇒ 1/3 hours
More about the subtraction link is given below.
brainly.com/question/4319655
#SPJ1
One may note, you never quite asked anything per se, ahemm, if you meant simplification.
A) There are a number of ways to compute the determinant of a 3x3 matrix. Since k is on the bottom row, it is convenient to compute the cofactors of the numbers on the bottom row. Then the determinant is ...
1×(2×-1 -3×1) -k×(3×-1 -2×1) +2×(3×3 -2×2) = 5 -5k
bi) Π₁ can be written using r = (x, y, z).
Π₁ ⇒ 3x +2y +z = 4
bii) The cross product of the coefficients of λ and μ will give the normal to the plane. The dot-product of that with the constant vector will give the desired constant.
Π₂ ⇒ ((1, 0, 2)×(1, -1, -1))•(x, y, z) = ((1, 0, 2)×(1, -1, -1))•(1, 2, 3)
Π₂ ⇒ 2x +3y -z = 5
c) If the three planes form a sheath, the ranks of their coefficient matrix and that of the augmented matrix must be 2. That is, the determinant must be zero. The value of k that makes the determinant zero is found in part (a) to be -1.
A common approach to determining the rank of a matrix is to reduce it to row echelon form. Then the number of independent rows becomes obvious. (It is the number of non-zero rows.) This form for k=-1 is shown in the picture.
Answer:
all work shown and pictured
