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3 years ago

Match the expressions with their resultant terms in exponential form.

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

4 0

Answer:

3; 4; 6; 1

Step-by-step explanation:

The base is 13 in each of the product factors, so the exponent of the product is the sum of the exponents of the factors:

-11 +16 -3 +4 -5 = 1 . . . . matches option 3
-21 -4 -5 +14 -6 = -22 . . . . matches option 4
33 -2 +5 -13 -8 = 15 . . . . matches option 6
0 +10 -12 +5 +4 = 7 . . . . matches option 1

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A group of 15 explorers to the south pole had just enough food to last them for 40 days how long would the food last if all of a

Trava [24]

Answer:

3 days

Step-by-step explanation:

15-3=12

40/12= 3.3

round to 3

5 0

3 years ago

Please help quickly!

steposvetlana [31]

Answer:

The Correct option is A) 8

The value of a is 8.

Step-by-step explanation:

Vertical Angles:

The angles opposite each other when two lines cross.

They are always equal.

∠ 2(3a-7)° and ∠ (5a-6)° are vertical angles.Hence are equal.

So on Substituting we get

$2(3a-7)\°=(5a-6)\°$

Applying distributive property we get

$2\times 3a-2\times 7=5a-6\\6a-14=5a-6\\6a-5a=14-6\\\\\therefore a=8$

The value of a is 8

The Correct option is A) 8

7 0

3 years ago

Which is an equation of a direct proportion? a.y=1/6x+6 b.y=6/x c.y=6x-6 d.y=6x

Amanda [17]

Answer:

Option D. y=6x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

case a) y=(1/6)x+6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case b) y=6/x

The equation represent an inverse variation

case c) y=6x-6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case d) y=6x

The equation represent a direct variation

6 0

3 years ago

Solve the inequality

Marianna [84]

Answer:

The answer to your question is the letter A) x ≥ 0.5

Step-by-step explanation:

Inequality

2(4x - 3) ≥ -3(3x) + 5x

Process

1.- Expand

8x - 6 ≥ - 9x + 5x

2.- Simplify

8x - 6 ≥ - 4x

3.- Add 6 units in both sides

8x - 6 + 6 ≥ -4x + 6

4.- Simplify

8x ≥ -4x + 6

5.- Add 4x in both sides

8x + 4x ≥ -4x + 6 + 4x

6.- Simplify

12x ≥ 6

7.- Divide by 12 both sides

12x/12 ≥ 6/12

8.- Simplify

x ≥ 1/2 or 0.5

8 0

3 years ago

Read 2 more answers

Two cones are cut by a plane as shown, where the plane is perpendicular to the bases. The cross-section of the cones and the pla

Ira Lisetskai [31]

Answer:

D) a hyperbola

Step-by-step explanation:

IMO, the image is not helpful, as it suggests the ends of the curve are nearly parallel to each other. In fact, the ends of the curve asymptotically approach straight lines parallel to the sides of the cone. That is, there are asymptotes that form an X shape. This is a characteristic of a hyperbola.

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A parabola is formed when the plane cuts the cone parallel to one side. That cut plane only intersects one nap of the cone. At a shallower angle yet, one gets an ellipse. Parallel to a base, one gets a circle.

3 0

3 years ago