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2 years ago

PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)

Mathematics

2 answers:

STALIN [3.7K]2 years ago

5 0

Answer:

395.64 m³

Step-by-step explanation:

Volume (figure)

Volume (hemisphere) + Volume (cylinder)
2/3πr³ + πr²h
πr² (2/3r + h)
3.14 x 9 (2 + 12)
3.14 x 9 x 14
3.14 x 126
395.64 m³

aev [14]2 years ago

5 0

Answer:

The answer is 396m^3.

Step-by-step explanation:

The solution is in the attached file

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The sum of the length, width, and height of a rectangular package is 126 inches. If the length is 2 inches longer than five tim

taurus [48]

Answer:

Step-by-step explanation:

The length and the width are based on the height.

height: h

length: 5h + 2

width: 3h - 2

If the sum of those is 126, then:

h + 5h + 2 + 3h - 2 = 126 and

9h = 126 so

h = 14

length is 5(14) + 2 which is 72

width is 3(14) - 2 which is 40

The volume is found by multiplying the length times the width times the height:

14 * 72 * 40 = 40,320 inches cubed

4 0

3 years ago

State whether each sequence is arithmetic and justify your answer. If the sequence is arithmetic, write a recursive and an expli

nasty-shy [4]

Answer:

Part A

$f(n)=52-12(n-1)$

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$ Geometric Sequence

Part C

1/4,3/4,5/4,7/4,9/4

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)\\f(n)=\left\{\begin{matrix}1/4if \: \:n=1 & \\ f(n+1)+2/4& if\: n\geq 2 \end{matrix}\right$

Part D:

$h(n)=1.1+0.4(n-1)\\h(n)=\left\{\begin{matrix}1.1 & if\:n=1 \\ h(n+1)+0.4 & if\:n\geq 2\end{matrix}\right$

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

$(52,40, 28, 16)\\52-40=12\\40-28=12\\28-16=12\\d=12$

Explicit Formula

To write an explicit formula is to write it as function.

$f(n)=52-12(n-1)$

Recursive Formula

To write it as recursive formula, is to write it as recurrence given to some restrictions:

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24

Part C

$(\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4})\\\$

Arithmetic Sequence, difference

$d=\frac{2}{4}$

Explicit Formula:

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)$

Recursive Formula

$g(n)=\left\{\begin{matrix}\frac{1}{4} &if\:n=1 \\ g(n+1)+\frac{2}{4} &if\: n\geq 2\end{matrix}\right.$

Part D

(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4

Explicit formula

$h(n)=1.1+0.4(n-1)\\$

Recursive Formula

$h(n)=\left\{\begin{matrix}1.1 &if\:n=1 \\ h(n+1)+0.4 &if\: n\geq 2\end{matrix}\right.$

6 0

3 years ago

Solve for z: yz + 4z = z - y²

poizon [28]

Answer:

Step-by-step explanation:

yz+4z=z-y²

yz+4z-z=-y²

yz+3z=-y²

z(y+3)=-y²

$z=-\frac{y^2}{y+3 }$

3 0

2 years ago

How many 1/10 cubes are in 4 1/2

larisa [96]

Answer:

45 cubes

Step-by-step explanation:

There are 10 cubes in each 1. so 10 x 4 = 40. 1/2 of 10 is 5 so 40+5 = 45.

4 0

3 years ago

Simplify 3/4 - 1 1/4

lbvjy [14]

I think the answer is -7/4.

4 0

3 years ago

Read 2 more answers