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prisoha [69]
3 years ago
6

Which of the following inequalities have -8 in its solution set?

Mathematics
1 answer:
sergeinik [125]3 years ago
3 0
To determine when -8 is a solution, you will replace each variable with -8 and see which statements are true.

A. x + 4, -8 + 4<span> = -4, this is not in between 0 and 1
</span>B. x - 3, -8 - 3 = -11, not between -5 and 2
C. 8x + 7, 8(-8) + 7 = -57 is not between -1 and 1
D. 3x, 3(-8) = -24 is equal to -24, so this one is true

A.  <span>5x, 5(-6) = -30 is not less than -35 or greater than 35
</span>B.  3x - 2, 3(-6) - 2 = -20 is not between -5 and 1
C.  3x + 5, 3(-6) + 5 = -13 is between -16 and 11
D.  x - 5, -6 - 5 = -11 is not between -8 and 3
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A 0.40 kg bird is flying at a constant speed of 8.0 m/s. What is the bird's kinetic energy?
nalin [4]

Answer:

The correct answer is 12.8 J.

Step-by-step explanation:

To solve this problem, we must remember how to calculate the kinetic energy of an object.

The kinetic energy is represented by the formula K = 1/2 * m * v^2, where m represents the mass of the object and v represents the speed or velocity of the object.  If we plug in the given values into the formula, we get:

K = 1/2 * m * v^2

K = (1/2) * (0.40) * (8.0)^2

Our first step is to square the velocity.  After doing this step, we get the following:

K = (1/2) * (0.40) * (64)

Finally, we can perform the multiplication, to get:

K = 12.8

The unit for kinetic energy is joules, so the correct answer is 12.8 J.

Hope this helps!

8 0
3 years ago
Read 2 more answers
Which three side lengths best describe the triangle in the diagram?
Ksenya-84 [330]

The three side length that describes the triangle in the image attached below are: 5 cm, 12 cm, and 13 cm.

<h3>What is a Triangle?</h3>

A triangle is a shape that has three sides. The sides can be measured using a ruler.

The sides of the triangle in the image shown have side lengths as measured by the ruler beside each of the sides, which are 5 cm, 12 cm, and 13 cm.

Therefore, the three side lengths of the triangle in the diagram are: 5 cm, 12 cm, and 13 cm.

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6 0
2 years ago
Triangle MNP is dilated according to the rule DO,1.5 (x,y)Right arrow(1.5x, 1.5y) to create the image triangle M'N'P, which is n
Vikki [24]

Given:

The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).

The rule of dilation is:

(x,y)\to (1.5x,1.5y)

The image of triangle MNP after dilation is M'N'P'.

To find:

The coordinates of the endpoints of segment M'N'.

Solution:

The end points of MN are M(-4, 6) and N(2, 6).

The rule of dilation is:

(x,y)\to (1.5x,1.5y)

Using this rule, we get

M(-4,6)\to M'(1.5(-4),1.5(6))

M(-4,6)\to M'(-6,9)

And,

N(2,6)\to N'(1.5(2),1.5(6))

N(2,6)\to N'(3,9)

The endpoints of M'N' are M'(-6, 9) and N'(3, 9).

Therefore, the correct option is B.

8 0
3 years ago
Pierre deposits $9,000 in a certificate of deposit that pays 1.4% interest, compounded semi-annually.
Elenna [48]

9514 1404 393

Answer:

  • interest: $63
  • balance: $9063

Step-by-step explanation:

After 6 months, the interest accrued is ...

  I = Prt

  I = $9000·0.014·(6/12) = $63

This is added to the principal to get the balance at that point in time.

  $9000 +63 = $9063

__

The interest earned in the first 6 months is $63. The balance after 6 months is $9063.

_____

The compound interest formula will give you the same result for one compounding period. It tells you the balance is ...

  A = P(1 +r/n)^(nt)

where n is the number of times interest is compounded in a year (2), and t is the number of years (1/2). For annual rate r = 1.4%, this is ...

  A = $9000(1 +0.007)^(2×1/2) = $9000·1.007 = $9063

5 0
2 years ago
1. Segment AB has the coordinates given.
denpristay [2]

The first image has a coordinate of  A'(1, 6) B'(-3, 7)

<h3>How to calculate the coordinates of an image after a translation?</h3>

Translation can be defined as movement in a straight line.

Given the rule: (x,y) → (x + 3, y - 1) and A(-2,7) B(-6,8)

That means:  A(x = -2, y =7) B(x = -6, y = 8)

Thus the translation will be:

A'(-2 +3, 7-1) B'(-6+3, 8-1)  = A'(1, 6) B'(-3, 7)

Therefore, the coordinate of the image is  A'(1, 6) B'(-3, 7)

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8 0
1 year ago
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