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2 years ago

I need help for the 5th time

Mathematics

1 answer:

Leviafan [203]2 years ago

8 0

Answer:

3.2t - 2.4

Step-by-step explanation:

Given

- 3.6 - 1.9t + 1.2 + 5.1t ← collect like terms

= (- 1.9t + 5.1t) + (- 3.6 + 1.2)

= 3.2t + (- 2.4)

= 3.2t - 2.4

You might be interested in

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

Can someone help me with please??

OverLord2011 [107]

Answer:

The angle is 35 degrees

Step-by-step explanation:

Since this is an isosceles triangle, we know that the two remaining angles must be the same. Set those angles equal to x. Now, we can solve for x by adding those two angles to the third angle and setting equal to 180.

x + x + 110 = 180

2x + 110 = 180

2x = 70

x = 35

6 0

3 years ago

A square has side length (7 x − 2) inches. what is the area of the square?

Aneli [31]

Answer:

49x^2 - 28x + 4

Step-by-step explanation:

(7x - 2)(7x - 2)

Because squares have the same length of sides.

49x^2 - 28x + 4

7 0

3 years ago

3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm s

Gekata [30.6K]

Step-by-step explanation:

Volume of displaced water = (10cm)(10cm)(1.6cm)

= 160 cm^3

density = mass/vol of displaced water

= 3088 grams/160 cm^3

= 19.3 g/cm^3

P.S. This is most likely a pure gold medallion.

6 0

2 years ago

Someone plz help me I will give brainliest

makvit [3.9K]

Answer:

2. 3/4 x 5/9 = 3x5/4x9 = 15/36 = 5/12

4. 4/7 x 1/2 = 4x1/7x2 = 4/14 = 2/7

6. 4/9 x 2/3 = 4x2/9x3=8/27

Step-by-step explanation:

Hope it helps!

5 0

3 years ago

Read 2 more answers