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elena-s [515]
3 years ago
7

Zina spends 1.5 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be repres

ented by the sequence below. 1.5, 2.25, 3.0, 3.75, ... Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously?
Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
6 0
Based on the sequence, it shows an Arithmetic Sequence. The difference from one number to the other is 0.75. In order to get the sum of the sequence at a given N items, you need to use the formula. 

The formula is S = N/2 [2a1 + (N-1)d].
S = sum
N = number of items
a1 = first item of the sequence
d = difference from one item to the next item

Elena-2011 [213]3 years ago
4 0

Answer:

f(n+1) = f(n)+0.75

Step-by-step explanation:

it’s just a matter of trying each answer to see which one works.

You might be interested in
Which of the following describes an example of mutually exclusive outcomes A and B for throwing a single 6-sided
swat32
Answer:
A=the outcome is odd, B=the outcome is even
Is mutually exclusive because you can't have a number that is even and odd at the same time.
Hope this helps :)
5 0
2 years ago
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that
sveta [45]

The formula for the general term of the sequence is Tn = 4n - 2

<h3>How to determine the formula?</h3>

The sequence is given as:

{2, 6, 10, 14, 18, . . . }

The above sequence is an arithmetic sequence with the following features:

  • First term, a = 2
  • Common difference, d = 4 i.e. 6 - 2

The formula for the general term is calculated using:

Tn = a + (n - 1) * d

This gives

Tn= 2 + (n - 1) * 4

Expand

Tn = 2 + 4n - 4

Evaluate the like terms

Tn = 4n - 2

Hence, the formula for the general term of the sequence is Tn = 4n - 2

Read more about sequence at:

brainly.com/question/21961097

#SPJ1

3 0
1 year ago
Please answer this multiple choice question correctly for 30 points and brainliest!!
Tema [17]

Answer:

A

Step-by-step explanation:

it has to do with the people's ethnics or standard or values.

The statement is not ambiguous so it has no language barrier

8 0
3 years ago
Read 2 more answers
If books cost $3.50 each, how much will 3 books cost in all?
Tamiku [17]

Answer:

3.50*3=10.5

the total will be $10.50

Step-by-step explanation:

4 0
3 years ago
Find the equation of the line that passes through (0, -3) and is parallel to
Tresset [83]

Hey there!

\\

  • Answer:

\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

  • Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be \: \sf{d_1} \: and the line that is parallel to \: \sf{d_1} \: be \: \sf{d_2} \: .

\sf{d_2} \: passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}

\\

⇒Subtitute the values :

\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}

\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}

\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}.

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \:  the \: line \: and \: b \: is \: the \: y-intercept.}

\implies \sf{y = \bold{\dfrac{7}{6}}x + b} \\

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line \: \sf{d_1} \:. Now, replace y with -3 and x with 0:

\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:

Therefore, the equation of the line \: \bold{d_1} \: is \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0
1 year ago
Read 2 more answers
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