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tigry1 [53]
3 years ago
13

What are the next three terms 4, 7/4,-1/2,-11/4...

Mathematics
1 answer:
Molodets [167]3 years ago
5 0

Answer:

{-29/4, -19/2, -47/4}

Step-by-step explanation:

Note that this is a decreasing arith. seq.  Each term is smaller than the previous term, the result of the subtraction of 2 1/4 (equivalent to 9/4).  

The fourth term is -11/4; subtracting 9/4 results in -20/4, or -5.

The fifth term is -20/4; subtracting 9/4 results in -29/4.

The 6th term is -29/4; subtracting 9/4 results in -38/4, or -19/2.

The 7th term is -38/4; subtracting 9/4 results in -47/4.

Thus, the "next three terms" following the first four terms are {-29/4, -19/2, -47/4}

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20 points! Identify the solids that form the compos
Troyanec [42]

The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The composite solid's surface area is 225.4 square inches.

Step-by-step explanation:

Step 1:

The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.

The surface area of the composite shape is given by summing the individual surface areas.

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

Step 2:

Any cube's surface area is calculated by multiplying 6 with the square of the side length (a^2).

The cube's surface area = 6a^2 = 6(5^{2} ) = 150 square inches.

Step 3:

Any cylinder's surface area is calculated with the following formula;

The cylinder's surface area = 2 \pi r h+2 \pi r^{2} = 2 \pi (2) (4)+2 \pi (2)^{2} = 75.398 square inches

Step 4:

The composite shape's surface area = The cube's surface area + the cylinder's surface area.

The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.

3 0
3 years ago
Noble paid 79.00 net price<br> Offered a 10% trade discount <br><br> What's list price
Yuri [45]

Answer:

80

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Fie A(-1,2) B(3,-1) C(4,-1)
Iteru [2.4K]

do you mind rephrasing it in english

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4 0
3 years ago
Read 2 more answers
Hurry 50 points for correct answer
Ad libitum [116K]

Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

Step-by-step explanation:

The equation x=\sqrt{6x+7} can be solved by squaring both sides:

x^2 = 6x + 7\\\\x^2 - 6x - 7 = 0\\\\(x-7)(x+1) = 0

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

1 = \sqrt{-1}\\ 7 = \sqrt{49}

The square root of 49 equals 7, but the square root of -1 is an imaginary number.

The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

4 0
3 years ago
What is 15% of 135, show your work
SIZIF [17.4K]

Answer:

20.25

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 135.

Step 2: We represent the unknown value with $x$

.

Step 3: From step 1 above,$135=100\%$

.

Step 4: Similarly, $x=15.\%$

.

Step 5: This results in a pair of simple equations:

$135=100\%(1)$.

$x=15.\%(2)$

.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{135}{x}=\frac{100\%}{15.\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{135}=\frac{15.}{100}$

$\Rightarrow x=20.25$Therefore, $15.\%$ of $135$ is

sorry if it took to long have a great day and brainliest is appreciated!!!!!

5 0
3 years ago
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