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Kruka [31]
3 years ago
12

The nth term of a sequence is 2n - 6

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0

Answer:

a. first 3 terms: -4, -2, 0, 2

b. 14

Step-by-step explanation:

a. sub in n as 1,2,3,4 for first 4 terms.

b. sub in n=10

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A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t
nexus9112 [7]

9514 1404 393

Answer:

  3433 m^2

Step-by-step explanation:

The total surface area is the sum of the end areas and the lateral area.

The end areas together are a circle of diameter 0.4 m and two rectangles that are 0.4 m by 0.55 m.

  End areas = πr^2 + 2LW = 3.14(0.2 m)^2 + 2(0.4 m)(0.55 m)

  = 0.1256 m^2 +0.44 m^2 = 0.5656 m^2

The perimeter of the end piece is half the circumference of a 0.4 m circle and three sides of a 0.4 m by 0.55 m rectangle.

  P = (1/2)πd + 2L +W = 1/2·3.14·0.4 m + 2(0.55 m) + 0.4 m = 2.128 m

The lateral area of the mailbox is the product of its length and the perimeter of the end piece:

  LA = PL = (2.128 m)(0.6 m) = 1.2768 m^2

Then the total surface area of the mailbox is ...

  0.5656 m^2 + 1.2768 m^2 = 1.8424 m^2

__

The area of aluminum required for 1863 mailboxes is ...

  1863 × 1.8424 m^2 ≈ 3433 m^2

About 3433 square meters of aluminum are needed to make these mailboxes.

4 0
3 years ago
Will mart brainiest for these two answers kind of need them as soon as possible
RSB [31]
1. -100 is the correct answer
2. true. the absolute value of a positive number is always positive
8 0
3 years ago
Read 2 more answers
Help ASAP show work please thanksss!!!!
Llana [10]

Answer:

\displaystyle log_\frac{1}{2}(64)=-6

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

log_b(1) = 0

Logarithm of the base:

log_b(b) = 1

Product rule:

log_b(xy) = log_b(x) + log_b(y)

Division rule:

\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)

Power rule:

log_b(x^n) = n\cdot log_b(x)

Change of base:

\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

\displaystyle log_\frac{1}{2}(64)

Factoring 64=2^6.

\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)

Since

\displaystyle 2=(1/2)^{-1}

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})

Applying the logarithm of the base:

\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}

5 0
3 years ago
Which statement best compares the value of the 4 in each of these numbers? A: 16.942 B: 9.214 A) (40 &lt; 400) The value of the
OleMash [197]

First, let us write the place values of 4 in A and B.

In A, the number is 16.942 and the place value of 4 is 0.04.

In B, the number is 9.214 and the place value of 4 is 0.004.

It is clear that 0.04 > 0.004.

Hence, statement C best compares the value of 4 in each number.

6 0
4 years ago
Solve for x <br> 4(3+x)+x=x+4<br> TYYY
iris [78.8K]

\sf\longmapsto 5x + 12 = x + 4

\sf\longmapsto 5x + 12 - 12 = x + 4 - 12

\sf\longmapsto 5x = x + 4 - 12

\sf\longmapsto 5x = 4 - 12

\sf\longmapsto 5x =  - 8

\sf\longmapsto( 5x - x)

\sf\longmapsto 4x =  - 8

\sf\longmapsto  \frac{ - 8}{4}  =  - 2

5 0
2 years ago
Read 2 more answers
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