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IRINA_888 [86]
3 years ago
8

What is the value of the first term in the following arithmetic sequence?

Mathematics
2 answers:
g100num [7]3 years ago
8 0

\sf{   } 

The first first term in the following arithmetic sequence

-9, -2, 5, 12, .. is -9

LekaFEV [45]3 years ago
6 0

Answer:

-9

Step-by-step explanation:

-9, -2, 5, 12,.........

The first term is the first number in the sequence

-9

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A cylinder has a volume of 105 cubic centimeter what is the volume of a cone with the same base and height?
pychu [463]

Answer:

<h2>35 cm³</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V_1=\pi r^2H

r - radius

H - height

The formula of a volume of a cone:

V_2=\dfrac{1}{3}\pi r^2H

If the cylinder and the cone have the same base (radius) and the same height, then the volume of the cone is three times smaller than the volume of the cylinder.

V_2=\dfrac{1}{3}\underbrace{\pi r^2H}_{V_1}

Therefore:

V_2=\dfrac{1}{3}V_1\toV_2=\dfrac{1}{3}\cdot105\ cm^3=35\ cm^3

5 0
3 years ago
015: Rectangle homework
yaroslaw [1]

Answer:

Length: 6 ft

Width: 4 feet

Step-by-step explanation:

Length: L

Width: 2L - 8

2L + 2(2L - 8) = 20

2L + 4L - 16 = 20

6L = 36

L = 36/6

L = 6

W= 2(6)-8 = 4

7 0
3 years ago
The unit rate for 5.99 for 13 Ib
Anit [1.1K]

Answer:

0.46

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
F(x)=(5x+3)(x−2)(3x+7)(x+5) has zeros at x = -5, x = -7/3, x = 2
musickatia [10]

The sign of f on the interval -7/3 < x < -3/5 is always positive.

<h3>How to solve for the sign on the interval</h3>

We have the equation

(5x+3)(x−2)(3x+7)(x+5) > 0

Now when f(x) > 0

Then -7/3 < x < -3/5

This would tell us that the sign would become positive when it changes from the less than to greater than sign

<h3>Complete Question</h3>

f(x)=(5x+3)(x-2)(3x+7)(x+5) has zeros at x=-5, x=-7/3, x=-3/5, and x=2

What is the sign of f on the interval -7/3<x<-3/5?

answer choices

f is always positive on the interval

f is always negative on the interval

f is sometimes positive and sometimes negative on the interval

f is never positive or negative on the interval

Read more on polynomials here:

brainly.com/question/2833285

#SPJ1

5 0
2 years ago
I need it ASAP, Questions are attached as a photo
ELEN [110]

Answer:

8- 26 cm

7- 85 cm^2

1-23 cm

5 0
2 years ago
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