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Ostrovityanka [42]
3 years ago
5

Consider the sequence below. What is the 10th term of the sequence?

Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

the right answer is a) 23

Step-by-step explanation:

because when we analyze the sequence it is observed that all the numbers are added the value of 3, therefore when arriving at position 10 the sum is 23

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In slope intercept form, write the equation for the line that passes through the point (2,3) and the point (7,13).
tatuchka [14]
First, Use the slope equation to find the slope of the line passing thru these two points:

m=rise/run

Here, the rise is 13-3, or 10, and the run is 7-2, or 5.  Thus, the slope, m, is 10/5, or 2:  m=2.

We want the slope-intercept form, so let's begin with its general form:

y=mx+b.  Substitute the slope 2 for m:  y=2x+b.  Now choose either of the given points.  Arbitrarily I am choosing (2,3).  Then x=2 and y=3.

Substituting these values into y=2x+b:    3 = 2(2) + b, or b= 3 -4, or b = -1.

Then the equation of this line, in slope-intercept form, is y = 2x - 1.

8 0
3 years ago
Please! Solve f(x)-g(x) if f(x)=1/2x^4 - x^2 and g(x)= 3/4x^4 +3x^3 - x^2
igomit [66]

Answer:

f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}

Step-by-step explanation:

This is a subtraction between polynomials, since both functions are polynomials, hence, to solve the problem with need to perform the subtraction, by coefficients.

f(x)= \frac{1}{2}x^{4}+0x^{3}-x^{2}\\\\g(x)=\frac{3}{4}x^{4}+3x^{3}-x^{2}

By performing the subtraction, we have:

f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}

6 0
3 years ago
Each lap around the track is 1/4 of a mile. How many laps will Quadir need to jog if he wants to jog 3 1/8 miles? Helpppp
weeeeeb [17]

9514 1404 393

Answer:

  12 1/2 laps

Step-by-step explanation:

To find the number of laps, divide the distance by the distance per lap.

  (3 1/8) ÷ (1/4) = (3 1/8) × (4/1) = 3·4 +(1/8)·4 = 12 4/8 = 12 1/2

Quadir needs to jog 12 1/2 laps if he wants to jog 3 1/8 miles.

5 0
3 years ago
Jamal ran a distance of 360 feet. Lonnie ran a distance of 30 yards. What is the ratio of the distance Jamal ran to the distance
madreJ [45]
The answer is 4:1, if thats right
7 0
3 years ago
The width of a rectangle is 7 less than the length. If the perimeter of the rectangle is 43.6 inches, what is the area of the re
Lera25 [3.4K]

Call the length a, the width b

Perimeter = (a+b) x 2

And since we have (a+b) x 2 = 43.6, a + b = 43.6 : 2 = 21.8

a + b = 21.8
a - b = 7

-> a + b + (a - b) = 28.8
2a = 28.8
a = 14.4
b = 7.4

So, the area of the rectangle is 14.4 x 7.4 = 106.56

8 0
2 years ago
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