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lions [1.4K]
4 years ago
6

Simplify the equation: 5d(7-3)- 16d+3x2da 10db 14dc 21dd 25d

Mathematics
1 answer:
Vanyuwa [196]4 years ago
5 0

Answer:

a 10d

Step-by-step explanation:

5d(7-3)- 16d+3*2d

Simplify what is inside the parenthesis first PEMDAS

5d(4) -16d +3*2d

Then we multiply and divide from left to right

5d(4) -16d +3*2d

20d -16d +3*2d

20d -16d+6d

Then we add and subtract from left to right

4d+6d

10d

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Determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2.
blagie [28]
\bf n^{th}\textit{ term of a geometric sequence}
\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=5\\
r=2\\
n=7
\end{cases}
\\\\\\
a_7=5\cdot 2^{7-1}\implies a_7=5\cdot 2^6\implies a_7=320
7 0
3 years ago
Brian rides his bicycle 24 miles in 2 hours. Write a ratio of Brain's miles per hour. Use the ratio from #1 to determine how far
Sati [7]

Answer:Ratio in miles per hour is 12 miles per hour.

Distance travelled is 60miles

Step-by-step explanation:

Speed=distance/time taken

24/2=12miles per hour

Therefore, distance travelled in 5 hours is 12*5=60miles

6 0
4 years ago
Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine
NikAS [45]

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is A=\frac12bh. One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in x=0.

Which gives you this when you plug it into both equations:

-y=1\\y=-1\\y=8

So the y-intercepts for the graphs are (0,-1)\\, and (0,8) respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

x-y=1\\2x+y=8\\3x=9\\x=3

Now to solve for the y component substitute:

2(3)+y=8\\y=2

Therefore, the graphs intersect at the following:

(3,2)

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

b=8-(-1)\\b=9

The height must also be accounted for which is the following:

h=3

Now the formula can be used:

A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2

7 0
3 years ago
Read 2 more answers
5. Simplify<br> (7x2+ 8) - (x2 - 2)
Gennadij [26K]

Answer:

(7 \times 2 + 8) - ( {x}^{2}  - 2) \\ (14 + 8) - ( {x}^{2}  - 2) \\ 14 + 8 -  {x}^{2}  + 2 \\ 22 +  {x}^{2}  + 2 \\ 24 +  {x}^{2}

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

3 0
3 years ago
Write 8.62 in word form.
borishaifa [10]
Eight point six two is the answer
7 0
3 years ago
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