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Svet_ta [14]
3 years ago
6

Solve for the variable.

Mathematics
1 answer:
Lyrx [107]3 years ago
5 0
What u have to do is get rid of the fractions. You do this by multiplying by 24.

8k=16

Then, divide by 8 to get:

k=2

The answer is k=2.
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Melinda bought 6 bowls for $13.20. what was the unit rate in dollars
OlgaM077 [116]
To find the unit rate we will divide the amount of dollars ($13.20) by the amount of bowls (6). Then we will check our work. lets do it:-

13.20 ÷ 6 = 2.20
$2.20 per bowl

CHECK OUR WORK:-

2.20 × 6 = 13.20
we were RIGHT!!

So, the unit rate in dollars for, Melinda bought 6 bowls for $13.20  is, $2.20 per bowl.

Hope I helped ya!! xD
8 0
3 years ago
Read 2 more answers
All vectors are in Rn. Check the true statements below:
Oduvanchick [21]

Answer:

A), B) and D) are true

Step-by-step explanation:

A) We can prove it as follows:

Proy_{cv}y=\frac{(y\cdot cv)}{||cv||^2}cv=\frac{c(y\cdot v)}{c^2||v||^2}cv=\frac{(y\cdot v)}{||v||^2}v=Proy_{v}y

B) When you compute the product Ax, the i-th component is the matrix of the i-th column of A with x, denote this by Ai x. Then, we have that ||Ax||=\sqrt{(A_1 x)^2+\cdots (A_n x)^2}. Now, the colums of A are orthonormal so we have that (Ai x)^2=x_i^2. Then ||Ax||=\sqrt{(x_1)^2+\cdots (x_n)^2}=||x||.

C) Consider S=\{(0,2),(2,0)\}\subseteq \mathbb{R}^2. This set is orthogonal because (0,2)\cdot(2,0)=0(2)+2(0)=0, but S is not orthonormal because the norm of (0,2) is 2≠1.

D) Let A be an orthogonal matrix in \mathbb{R}^n. Then the columns of A form an orthonormal set. We have that A^{-1}=A^t. To see this, note than the component b_{ij} of the product A^t A is the dot product of the i-th row of A^t and the jth row of A. But the i-th row of A^t is equal to the i-th column of A. If i≠j, this product is equal to 0 (orthogonality) and if i=j this product is equal to 1 (the columns are unit vectors), then A^t A=I    

E) Consider S={e_1,0}. S is orthogonal but is not linearly independent, because 0∈S.

In fact, every orthogonal set in R^n without zero vectors is linearly independent. Take a orthogonal set \{u_1,u_2\cdots u_p\} and suppose that there are coefficients a_i such that a_1u_1+a_2u_2\cdots a_nu_n=0. For any i, take the dot product with u_i in both sides of the equation. All product are zero except u_i·u_i=||u_i||. Then a_i||u_i||=0 then a_i=0.  

5 0
4 years ago
Does the average person live for at least 1,000,000 minutes?
irakobra [83]
Convert to hours, then days, then years
60 minutes per hour
1000000/60=50000/3=16666.7 hours

24 hours per day
16666.7/24=694.4 days
365 days per year
694.4/365=1.9

the average person lives at least 1.9 years
maybe, I guess
6 0
3 years ago
Read 2 more answers
1. What is the area of the figure below?. . . 18 in². 30 in². 36 in². 60 in².
wel
Area of parallelogram<span>=</span><span>base x </span><span>height
Given :
Base = 12 in.
Height = 3 in.

Hence,
Area = 12 x 3
        =  36 in. square</span>
6 0
3 years ago
Read 2 more answers
Three times the sum of the numbers x and 5 is 21.
MrRissso [65]
3 (x+5)=21 is the answer
7 0
3 years ago
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