MATHEMATICS COLLEGE

1. Find the value of 3x -2x^2 ; when x = -3. ^ means "power of" *

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

3x - 2x²

3 × -3 = -9

2 × -3 = -6

-9 - (-6²)

-9 - (-36)

-9 + 36

36 - 9

36 - 9 = 27

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Mark has a batting average of 0.21 what is the probability he has at least 5 hits his next 7 at bats

) A patient drank 12 ounces of orange juice. How many milliliters did the patient drink?

Answers

Answer:

He drank 354.882 mills of orange juice

Step-by-step explanation: One ounce is equal to 29.5735 mills, so you multiply 29.5735 by 12

Answer: 355 Millileters

Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need? Dmitri will need [Blank] glass tiles. The dimentions are...26 , 15, 8.

Answers

The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

What is the Surface Area of a Box?

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

What is the Surface Area of a Box?

SA = 2(lw + lh + hw), where:

l = length
w = width
h = height of the box

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

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A plant cell has a length of 0.000085 meters. Which is this length written in scientific notation?

Answers

Answer: The answer would be 8.5 times 10^-5

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10 If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

8.5 x 10^-5

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Determine which of the sets of vectors is linearly independent. A: The set where p 1(t) = 1, p 2(t) = t 2, p 3(t) = 1 + 5t B: The set where p 1(t) = t, p 2(t) = t 2, p 3(t) = 2t + 5t 2 C: The set where p 1(t) = 1, p 2(t) = t 2, p 3(t) = 1 + 5t + t 2 A and C C only B only A only all of them

Answers

Answer:

(A)A and C

Step-by-step explanation:

In each case, represent each of the $p_i$ as a column vector where each row corresponds to the constant term, coefficient of t and $t^2$ respectively.

A= The set where $p_1(t)=1$ $p_2(t)=t^2$ $p_3(t)=1+5t$

$A=\left[\begin{array}{ccc}1&0&1\n0&0&5\n0&1&0\end{array}\right]$

$|A|=\left|\begin{array}{ccc}1&0&1\n0&0&5\n0&1&0\end{array}\right|=-5$

B: The set where $p_1(t)=t, p_2(t)=t^2, p_3(t)=2t+5t^2$

$B=\left[\begin{array}{ccc}0&0&0\n1&0&2\n0&1&5\end{array}\right]\n|B|=0$

C: The set where $p_1(t)=1, p_2(t)=t^2, p_3(t)=1+5t+t^2$

$C=\left[\begin{array}{ccc}1&0&1\n0&0&5\n0&1&1\end{array}\right]\n|C|=-5$

Since the determinants of A and C are not 0, the set of vectors in A and C are linearly independent.

upike 5 1/2 miles from your house to a skatepark you travel one half of that distance in the woods Buck along the bank of a stream for the last half of the woods on how many miles of your trip do you bike along the bank of the stream

Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

Can you help me find abcd please

Answers

Answer:

A.2 B.4 C.3 D.4 E.6

Step-by-step explanation:

1/2 ÷ 3/4 = 1/2 x 4/3 (flip 3/4 and keep 1/2)

If you multiply 1/2 x 4/3 you will get 4/6.

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