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irga5000 [103]
2 years ago
15

Help pls, will mark brainliest

Mathematics
1 answer:
BaLLatris [955]2 years ago
8 0

Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;

The n'th term of a Arithmetic Sequence let's say it be {\sf T_n} is given by ;

  • {\boxed{\bf T_{n}=T_{1}+(n-1)d}}

Where , <u>d</u> is the common difference

Now , here we are given with ;

{\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright T_{1}=8 \: and \: T_{5}=-4}

We have to find the 2nd , 3rd and 4th term respectively ,

Now , by using the above formula , 5th term can be written as ;

{: \implies \quad \sf T_{1}+(5-1)d=T_{5}}

Putting the values and transposing 1st term to RHS , we have ;

{: \implies \quad \sf 4d = -4-8}

{: \implies \quad \sf d=-\dfrac{12}{4}}

{: \implies \quad \sf d=-3}

Now , as we got the common difference , so we can find out the missing terms now ;

{: \implies \quad \sf T_{2}= T_{1}+(2-1)d}

{: \implies \quad \sf T_{2}= 8 +d}

{: \implies \quad \sf T_{2}= 8-3}

{: \implies \quad \bf \therefore \:  T_{2}= 5}

Now

{: \implies \quad \sf T_{3}= T_{1}+(3-1)d}

{: \implies \quad \sf T_{3}= 8 +2d}

{: \implies \quad \sf T_{3}= 8-6}

{: \implies \quad \bf \therefore \:  T_{3}= 2}

Also ,

{: \implies \quad \sf T_{4}= T_{1}+(4-1)d}

{: \implies \quad \sf T_{4}= 8 +3d}

{: \implies \quad \sf T_{4}= 8-9}

{: \implies \quad \bf \therefore \:  T_{4}= -1}

Now , The given table can be written as ;

{\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \bf n & \sf 1 & 2 & 3 & 4 & 5 \\ \cline{1-6} \bf T_{n} & \sf 8 & 5 & 2 & -1 & -4 \end{array}}

Note :- Kindly view the answer from web , if you're not able to see the full answer from here ;

brainly.com/question/26750175

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3/4x+5/6=5x-125/3 solve for x
vivado [14]
3/4x+5/6=5x-125/3
3/4x+5/6-5/6=5x-125/3-5/6
4/3x=5x-85/2
4/3x-5x=5x-5x-85/2
-17/4x=-85/2
(-4*-17/4x)=(-85/2*-4)
17x=170
x=170/17
x=10

4 0
3 years ago
A chef uses a circular pan with a 24-inch diameter to make a pizza. What is the area of pizza
RUDIKE [14]

Answer:

<u>The area of a pizza made in that circular pan is 452.39 inches²</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Diameter of the circular pan = 24 inches

Radius of the circular pan = 24/2 = 12 inches

2. What is the area of the pizza?

Let's use the formula of the area of a circle, this way:

Area = π * r²

Substituting with the real values, we have:

Area = 3.1416 * 12²

Area = 452.39 inches²

<u>The area of a pizza made in that circular pan is 452.39 inches²</u>

4 0
2 years ago
what is the slope-intercept form for a line that has a slope of -4/5 and passes through points (0,7)?
drek231 [11]

\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{7})~\hspace{10em} slope = m\implies -\cfrac{4}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=-\cfrac{4}{5}(x-0) \\\\\\ y-7=-\cfrac{4}{5}x\implies y=-\cfrac{4}{5}x+7

4 0
2 years ago
Which shows another way to write 64?
Taya2010 [7]

None of those show another way to 64

6*6*6*6=1296

4*4*4*4*4*4=4096

6+6+6+6=24

6*4=24

Another way to show 64 is 8*8 or 4^3

4 0
3 years ago
Which is the solution of the equation a + 2 = 10?
Alexandra [31]

Hey there!

a + 2 = 10

SUBTRACT 2 to BOTH SIDES

a + 2 - 2 = 10 - 2

CANCEL out: 2 - 2 because that gives you 0

KEEP: 10 - 2 because that helps solve for the a-value

10 - 2 = a

10 - 2 = 8

Answer: Option C. a = 8

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

8 0
3 years ago
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