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Amanda [17]
3 years ago
5

Find the 35th term of the arithmetic sequence -2, -4, -6, -8, ...

Mathematics
1 answer:
xeze [42]3 years ago
6 0
Use the formula: an = a1 +(n-1)d
a1 = -2, d= -2
A35 = -2 + (35-1)(-2)
A35 = -2+(-68)
A35 = -70
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What is the y-value in the solution to this system of linear equations?
Karolina [17]

Answer:

y = -4

Step-by-step explanation:

Solve the following system:

{4 x + 5 y = -12 | (equation 1)

3 y - 2 x = -16 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{4 x + 5 y = -12 | (equation 1)

0 x+(11 y)/2 = -22 | (equation 2)

Multiply equation 2 by 2/11:

{4 x + 5 y = -12 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{4 x+0 y = 8 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 2 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer:  {x = 2 , y = -4

6 0
4 years ago
Read 2 more answers
Gina rides her bike to work at an average of 10.4 miles per hour. She bikes 1.2 hours each day. How many miles does Gina ride ea
tatiyna
So 10.4mi = 1 hour

We need to find out how many miles 1.2 hours is.

1.) Well, the first step would be to multiply 1.2 on both sides of:
10.4mi = 1 hour

because that would make this number of miles is = to 1.2 hours which is wha we're looking for

1.2(10.4) mi = 1.2 hour

2.) Simplify
12.48 mi = 1.2 hour

3.) That means Gina rides 12.48 miles each day if she rides for 1.2 hours each day at a pace of 10.4 miles per hour :)
8 0
3 years ago
A teenager’s heart pumps an average of 7200 L of blood every 24 hours. What is the rate of change of volume of blood?
love history [14]

Answer:

300L per hour

Step-by-step explanation:

The rate of change of volume of blood pumped by the teenager's heart expresses the volume of blood pumped with respect to hour.

Rate of change of volume of blood = \frac{volume of blood}{time}

                           = \frac{7200L}{24}

                           = 300L/hour

The rate of change of volume of blood by the teenager's heart is 300 litres per hour. This implies that his/ her heart pumps 300 litres of blood every hour.

7 0
3 years ago
Complete the square and put this function in vertex form: f(x)=x^2+20x+97
Fofino [41]

Answer:

Step-by-step explanation:

f(x)=(x²+20x+100) -3  because : 97 = 100 -  3

f(x) = (x+10)² -3 ....vertex form

3 0
3 years ago
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<span>The area of mathematics that deals with points, lines, shapes and space. Plane Geometry is about flat shapes like lines, circles and triangles. Solid Geometry is about solid (3-dimensional) shapes like spheres and cubes.</span>
4 0
3 years ago
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