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3 years ago

Write an equation, in slope-intercept form, to model each situation. You rent a bicycle for $20 plus $2 per hour.

Mathematics

1 answer:

Leona [35]3 years ago

3 0

Y=2x+20 x represents hours

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(Calculus help, 25 points, will give brainliest) Find the sum of the sigma notation below.

Andreyy89

$\displaystyle\sum_{i=3}^{10}(2i-9)=2\sum_{i=3}^{10}i-9\sum_{i=3}^{10}1$

Recall that

$\displaystyle\sum_{i=1}^n1=n$

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

Your sums start at $i=3$ , so in order to apply these formulas directly, you need to compensate for the missing first two terms:

$\displaystyle\sum_{i=3}^{10}1=\sum_{i=1}^{10}1-(1+1)=10-2=8$

$\displaystyle\sum_{i=3}^{10}i=\sum_{i=1}^{10}i-(1+2)=\frac{10\cdot11}2-3=52$

$\implies\displaystyle\sum_{i=3}^{10}(2i-9)=2\cdot52-9\cdot8=\boxed{32}$

4 0

3 years ago

The product of seven and the difference between a number and ten

Rina8888 [55]

Answer:

7(x-10)

Step-by-step explanation:

7×(x-10)

you ×7by whatever x-10 is

6 0

3 years ago

Read 2 more answers

you are moving to houston texas and are switching your cellular phone company. your new peak air time rate in houston is $.23 pe

Luda [366]

Add them so the answer will be 118.45

8 0

3 years ago

Identify the exact value of 157.5°

steposvetlana [31]

<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]

cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>

8 0

3 years ago

Helppppppppppppppppppp

bija089 [108]

Answer:

To get the area of a parallelogram

Step-by-step explanation:

A=bh is the formula for an area so option D is definitely wrong.

The formula for the area of a triangle is $\frac{1}{2} *b*h$ .

The formula for the area of a circle is πr²

The formula for the area of a parallelogram is A=bh

A=bh is the formula for the area of a parallelogram.

8 0

3 years ago

Write an equation, in slope-intercept form, to model each situation. You rent a bicycle for $20 plus $2 per hour.​

Write an equation, in slope-intercept form, to model each situation. You rent a bicycle for $20 plus $2 per hour.