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Inga [223]
2 years ago
11

Find the equation of the exponential function represented by the table below:

Mathematics
1 answer:
Allisa [31]2 years ago
3 0

Answer:

  y = 0.1(4^x)

Step-by-step explanation:

An exponential function can be written as ...

  y = a(b^x)

where 'a' is the y-intercept, and 'b' is the ratio of terms with consecutive x-values.

The table tells us a=0.1, and b=0.4/0.1 = 4. The equation is ...

  y = 0.1(4^x)

You might be interested in
L || m
Alona [7]

Answer:

c. m∠1 + m∠6 = m∠4 + m∠6

Step-by-step explanation:

Given: The lines l and m are parallel lines.

The parallel lines cut two transverse lines. Here we can use the properties of transverse and find the incorrect statements.

a.  m∠1 + m∠2 = m∠3 + m∠4

Here m∠1 and m∠2 are supplementary angles add upto 180 degrees.

m∠3 and  m∠4 are supplementary angles add upto 180 degrees.

Therefore, the statement is true.

b. m∠1 + m∠5 = m∠3 + m∠4

m∠1 + m∠5 = 180 same side of the adjacent angles.

m∠3 + m∠4 = 180, supplementary angles add upto 180 degrees.

Therefore, the statement is true.

Now let's check c.

m∠1 + m∠6 = m∠4 + m∠6

We can cancel out m∠6, we get

m∠1 = m∠4 which  is not true

Now let's check d.

m∠3 + m∠4 = m∠7 + m∠4

We can cancel out m∠4, we get

m∠3 = m∠7, alternative interior angles are equal.

It is true.

Therefore, answer is c. m∠1 + m∠6 = m∠4 + m∠6

3 0
3 years ago
In nearby Missouri, slavery was .
Thepotemich [5.8K]

Answer:

Im only assuming, but the options may be
A) legal
B) illegal

Step-by-step explanation:

The correct answer is
A) legal

On edge, I did the assignment and it's right

8 0
2 years ago
50 POINTS!! EASY!
frosja888 [35]

9514 1404 393

Answer:

  • y = -16
  • x = 10

Step-by-step explanation:

The direct proportion equation is ...

  y = kx

where k is the constant of proportionality. Here, you're told k=-2, so the equation is ...

  y = -2x

For x=8, the value of y is ...

  y = -2(8) = -16 . . . . . do the multiplication

For y = -20, the value of x is ...

  -20 = -2x

  10 = x . . . . . . . . . divide both sides by -2

3 0
3 years ago
Read 2 more answers
Y = (x - 2)2 + 3<br> Identify the vertex of the parabola
Ivanshal [37]

9514 1404 393

Answer:

  (2, 3)

Step-by-step explanation:

Compare the given equation ...

  y = (x -2)^2 +3

to the vertex form ...

  y = (x -h)^2 +k

You can see that h=2 and k=3.

The vertex of the parabola is (h, k) = (2, 3).

4 0
3 years ago
How many 8-inch square tiles are needed to cover a rectangle floor that is 10 ft. long and 8 ft. wide?
olganol [36]

Answer:

180 tiles

Step-by-step explanation:

It's easiest to work with only one unit for length and one unit for area. We will work with inches and square inches, and we will convert feet to inches.

An 8-inch square tile is a tile shaped like a square whose side measures 8 inches.

area of square = side^2

area of 1 tile = (8 in.)^2 = 64 in.^2

One 8-inch, square tile has an area of 64 sq in.

Now we need to find the area of the floor in square inches.

1 ft = 12 in.

We multiply each dimension in ft by 12 to find inches.

10 ft = 10 * 12 in. = 120 in.

8 ft = 8 * 12 in. = 96 in.

Now we find the area of the rectangular floor.

area of rectangle = length * width

area of rectangle = 120 in. * 96 in.

area of rectangle = 11,520 sq in.

The rectangular floor has an area of 11,520 sq in.

Each tile has an area of 64 sq in.

To see how many tiles are needed, we divide the area of the floor by the area of one tile.

number of tiles = (11,520 sq in.)/(64 sq in.) = 180

Answer: 180 tiles

3 0
3 years ago
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