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jarptica [38.1K]
3 years ago
13

Need help I need to turn this in by tomorrow

Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0

Answer:

A: 6 boxes right, 9 boxes down, 9 boxes left, connect back to start.

B: 3 boxes right, 9 boxes up, (diagonal 6 right, 12 down), 9 boxes up, 6 boxes right.

C: 1 box right, 2 boxes down, 1.5 boxes right, 1 box up, .5 box right, 2.5 boxes down, 3 boxes left, 3.5 boxes up to connect.

D: (diagonal 1 up, 1 right), 1 box right, (diagonal 1 down, 1 right), 1 box down, (diagonal 3 down, 3 left), 3 boxes left

Step-by-step explanation:

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Find a_1 and d for an arithmetic sequence with these terms. a_4=9and a_7=18
jonny [76]
\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_4&9\\
a_5&9+d\\
a_6&(9+d)+d\\
&9+2d\\
a_7&(9+2d)+d\\
&9+3d=\underline{18}
\end{array}\\\\
-------------------------------\\\\
9+3d=18\implies 3d=9\implies d=\cfrac{9}{3}\implies \boxed{d=3}

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=3
\end{cases}
\\\\\\
a_7=a_1+(7-1)d\implies 18=a_1+(7-1)3\implies 18=a_1+18
\\\\\\
18-18=a_1\implies \boxed{0=a_1}
3 0
4 years ago
Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for
Anuta_ua [19.1K]

Answer:

Function: y=140+25x

Amount earned for 10 hours of work: \$390

Step-by-step explanation:

Let be "x"  the number of hours worked on a project and "y" the total amount Luigi charges for a project.

Based on the data given in the exercise, you can identify that:

  • $140 is a fixed amount.
  • For each hour worked on the project, Luigi charges $25. This can be expressed as: 25x

Then, the total amount he charges for a project is the sum of $140 and 25x. This can be represented with the following function:

y=140+25x

To calculate the amount of money earned for 10 hours of work, you must substitute x=10 into the function and evaluate. Then:

y=140+25(10)\\\\y=390

7 0
4 years ago
True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.
nekit [7.7K]

Hi there!

\large\boxed{\text{False.}}

f(x) = 2(1/5)ˣ

Recall the form of an exponential function:

f(x) = a(b)ˣ where:

a = initial value

b = rate of decay/growth

If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.

1/5 < 1, so the function is undergoing exponential decay, not growth.

7 0
3 years ago
SQRT is a parallelogram. If m∠QST = 72°, which of the following statements is true?
Mrrafil [7]
The answer to your question is option b because opposite angles in a quadrilateral are equal to one another
7 0
3 years ago
Read 2 more answers
1. -28 = -3n + 5<br> what is n??<br> 2.5−n3=−4
STatiana [176]

Answer:

1.

n=11

2.

n =  \sqrt[3]{9}

Step-by-step explanation:

Question 1:

The given equation is:

- 28 =  - 3n + 5

Subtract 5 from both sides:

- 28 - 5 = - 3n

- 33 =  - 3n

Divide boy sides by:

-3

n =  \frac{ - 33}{ - 3}  = 11

Question 2:

The given expresion is :

5 -  {n}^{3}  =  -  4

Subtract 5 from both sides

-  {n}^{3}=  - 4 - 5

This implies that;

-  {n}^{3}=  - 9

{n}^{3}=  9

n =  \sqrt[3]{9}

5 0
3 years ago
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