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ValentinkaMS [17]

3 years ago

6

Vivian is working with a styrofoam cube for art class. The length of on side is five inches. How much surface area does Vivian h

ave to work with?

1 answer:

kondor19780726 [428]3 years ago

4 0

Answer:

A = 150 in²

Step-by-step explanation:

There are six faces on a cube

each face has equal lengths to its square sides

Area of a square is side squared

A = 6s² = 6(5)² = 6(25) = 150 in²

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MATRECIES: Suppose ={u,v,w}⊆R3 is linearly independent. Determine if the set 4 ={u, v, v−w, u+v+w} is linearly independent or li

AlladinOne [14]

The set is linearly dependent.

To explicitly prove this, we need to show there is at least one choice of constants $c_1,c_2,c_3,c_3\in\Bbb R$ such that

$c_1 u + c_2 v + c_3(v-w) + c_4(u+v+w) = 0$

or equivalently,

$(c_1 + c_4) u + (c_2 + c_3 + c_4) v + (-c_3 + c_4) w = 0$

which is the same as solving the system of equations

$\begin{cases} c_1 + c_4 = 0 \\ c_2 + c_3 + c_4 = 0 \\ -c_3 + c_4 = 0 \end{cases}$

From the first and last equations, we have $c_1=-c_4$ and $c_3=c_4$ . Substituting these into the second equation leaves us with $c_2-2c_1=0$ , and so the overall solution set is

$c_1 = \dfrac12 c_2 = -c_3 = -c_4$

for which there are infinitely many not-all-zero solutions.

3 0

2 years ago

At the end of of any beginning year a car is worth 5% less than what it was worth at the beginning of the year. If certain car w

maw [93]

Answer:

10,000-500=9,500 is what it is worth

Step-by-step explanation:

3 0

4 years ago

Answer both for brainiest, 40 points, and thanks with 5 stars

tankabanditka [31]

Answer:

17) #1 = 5

#2 = 49

18) Median= 50.5

Range = 88

Step-by-step explanation:

17) #1 - There are 5 3’s on the leaf side.

#2 - The number that is shown the most times is 49

18) There are 30 numbers in the stem and leaf plot, so the median falls between numbers 15 and 16. In this plot, those numbers are 50 and 51. So the median is 50.5.

The data ranges from 10 to 98. 98-10=88

7 0

4 years ago

X^2-10x=-29 what is the discriminant

Free_Kalibri [48]

Answer:

what is the word discriminate

7 0

3 years ago

Andrew participated in a bicycle race. The total distance covered was 56

Inessa05 [86]

(B) 4 hr is the correct answer.

<h3><u>Explanation</u> :</h3>

★ Speed of body is defined as the ratio of distance travelled to the time taken $.$

speed = distance/time

Given that,

distance = 56 miles

speed = 14 miles per hour

<u>By</u><u> </u><u>subs</u><u>tituting</u><u> </u><u>the</u><u> </u><u>values</u><u>,</u><u> </u><u>we</u><u> </u><u>get</u>

⭆ time = distance/speed

⭆ time = 56/14

⭆ <u>time = 4 hr</u>

<h3>Hope It Helps!</h3>

8 0

4 years ago