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qaws [65]
2 years ago
8

The number of chairs Amal can paint varies directly with the amount of time she spends painting. Amal can paint 7 chairs in 2 ho

urs.
Based on this information, how many chairs can Amal paint in 8 hours?

Enter your answer as a whole number. Do NOT type the word "chairs" in your answer. ONLY type the whole number that is your answer.
Mathematics
2 answers:
Aleksandr [31]2 years ago
6 0

Answer: B

Step-by-step explanation:

I took the test already

nydimaria [60]2 years ago
5 0

Answer: 28

Step-by-step explanation:

If it takes 2 hours to paint 7 chairs, then you multiply both by 4 to get 8 hours for 28 chairs.

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A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation
Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an m\times n matrix.  Let T :U\to V  be the corresponding linear transformationover the field F and \theta be identity vector in V. Now if x\in Ker( T)\implies T(x)=\theta.

(1) The kernel of a linear transformation is a vector space : True.

Let x,y\in Ker( T), then,

T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)

hence the kernel is closed under addition.

Let \lambda\in F, x\in Ker( T), then

T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta

\lambda x\in Ker(T) and thus Ket(T) is closed under multiplication

Finally, fore all vectors u\in U,

T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta

\implies \theta\in Ker(T)

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is \mathbb R^m : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in \mathbb R^m

: False

The null space that is dimension of solution space of an m x n matrix is always in \mathbb R^n.

(4) The column space of A is the range of the mapping x\to Ax

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

5 0
3 years ago
Evaluate each using the values given.<br> 7) 3 - x + x + y; use x = 4, and y=-1
kkurt [141]

Answer:

2

Step-by-step explanation:

3-4+4+(-1) (-4+4=0)

=3-1

=2

4 0
3 years ago
Two people independently each pick a number from 1 to 10. what is the probability that the two of them pick the same number?
Marysya12 [62]
1 in 10 is the probability of two people picking the same number.
7 0
3 years ago
(45pts) An elevator holds at most 1,400 pounds. A team of movers and their cart have a combined weight of 1,200 pounds. If each
emmainna [20.7K]
Let x be the number of boxes the team brings with them. Their weight combined with the boxes can't exceed the capacity of 1400. Assuming the elevator runs fine at that exact weight, you want to find the number of boxes, each of which contributes 40 pounds. This is given by the equation

1400=1200+40x

Solving for x, you have

1400=1200-40x
200=40x
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So the team can bring *at most* 5 boxes at a time.
4 0
3 years ago
If two tangent segments to a circle share a common endpoint outside a circle, then the two segments are
matrenka [14]

If two tangent segments to a circle share a common endpoint outside a circle, then the two segments are congruent. This is according to the intersection of two tangent theorem. The theorem states that  given a circle, if X is any point within outside the circle and if Y and Z are points such that XY and XZ are tangents to the circle, then XY is equal to XZ.

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4 0
3 years ago
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