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fgiga [73]
3 years ago
12

Generate the first 7 terms of the sequence defined by Q = 3n+ 5.​

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer:

8,11,14,17,20,23,26

Step-by-step explanation:

Q = 3n+ 5

an=3n+5

a1=3(1)+5=8

a2=3(2)+5=11

a(3)=3(3)+5=14

a4=3(4)+5=17

a5=3(5)+5=20

a6=23

a7=26

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Help me ive been trying to figure this out for days (29 points on board)
Rainbow [258]

Answer:

No, it is not tangent

Step-by-step explanation:

XY can only be tangent to the circle if it forms a right angle to the diameter. To test this, you need to figure out whether the three parts of the triangle make a Pythagorean triple. 8.5×2=17, and 17^2+5^2 is 314, which is not equal to 20 squared. Therefore, it is not tangent. Hope this helps!

3 0
4 years ago
Based on the data table, which equation accurately represents the situation?
8090 [49]

Answer:

The equation of the line is:

y = 28x

Hence, option C is correct.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the table

Gallons               Miles Driven

8                          224

10                         280

4                           112

Finding the slope between any two points, let say (8, 224) and (10, 280)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(8,\:224\right),\:\left(x_2,\:y_2\right)=\left(10,\:280\right)

m=\frac{280-224}{10-8}

m=28

now substituting (8, 224) and m = 28 in the slope-intercept form of line equation

y = mx+b

224 = 28(8) + b

224 = 224 + b

b = 0

Thus, the y-intercept b = 0

now substituting b = 0 and m = 28  in the slope-intercept form of line equation

y = mx+b

y = 28x+0

y = 28x

Therefore, the equation of the line is:

y = 28x

Hence, option C is correct.

7 0
3 years ago
Leah wants to see a castle in an amusement park. She sites the top of the castle at an angle of elevation of 45°. If she knows t
notsponge [240]

Answer:

x=236 feet

Step-by-step explanation:

3 0
3 years ago
&lt;c is opposite<br><br><br><br>please help me find the answer thank you :)​
natta225 [31]

Answer:

A) \angle C \text{ is opposite } \overline{AB}

Step-by-step explanation:

We need to name the side of the triangle that is across from angle C. A side of a triangle, if not otherwise given, is named based on the two points that form it. In this case, the side is formed by points B and C, so the side is called \overline{BC}.

7 0
3 years ago
The sum of three consecutive odd integers is 297. Compute the PRODUCT of the same three consecutive odd integers.
svetoff [14.1K]

Answer:

Step-by-step explanation:

let the odd numbers be x,x+2,x+4

x+x+2+x+4=297

3x+6=297

3x=297-6=291

x=291/3=97

consecutive odd integers are 97,99,101

97×99×101=97×(100-1)×(100+1)=97×(100²-1)=97×100²-97=970000-97=969903

4 0
3 years ago
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