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3 years ago

NEED HELP ASAP (RADICALS)

1 answer:

8 0

It is obvious that the radicals with negative sign tends to be less than those that are positive. So from there you already know a basic order. Now to be sure, you can use a calculator or just solve by squaring the whole number to find the radical form.

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Use the matrix tool to solve the system of equations. Choose the correct ordered pair.

Andrew [12]

( 7x + 3y = 56 ) × 2
14x + 6y = 112
6x + 6y = 72
__________ -
8x = 40
x = 5

6 0

3 years ago

The radius of a circle is 6 meters. What is the area of a sector bounded by a 150 arc

just olya [345]

Answer:

47.14 m²

Step-by-step explanation:

Recall that the central angle of a full circle is 2π radians or 360°. The area of the sector bounded by a 150° arc is the fraction

150°

------- times the area of the full circle (πr²):

360°

(15/36)π(6m)² = 0.417(3.14)(36 m² = 47.14 m²

3 0

3 years ago

These are the first six terms of a sequence with a1= -7:

SVEN [57.7K]

The recursive formula for this sequence is $a_{1}$ = -7; $a_{n}$ = $a_{n-1}$ + 10

Step-by-step explanation:

The recursive formula of the arithmetic sequence is:

$a_{1}$ = first term; $a_{n}$ = $a_{n-1}$ + d

$a_{1}$ is the first term in the sequence
$a_{n}$ is the nth term in the sequence
$a_{n-1}$ the term before the nth term
n is the term number
d is the common difference

∵ The sequence is -7 , 3 , 13 , 23 , 33 , 43 , ........

∵ 3 - (-7) = 3 + 7 = 10

∵ 13 - 3 = 10

∵ 23 - 13 = 10

- There is a constant difference 10 between the consecutive terms

∴ The sequence is an arithmetic sequence

∵ The first term is -7

∴ $a_{1}$ = 7

∵ The common difference is 10

∴ d = 10

- Substitute in the formula above $a_{1}$ by -7 and d by 10

∴ $a_{1}$ = -7; $a_{n}$ = $a_{n-1}$ + 10

To check the formula find the second term

∵ n = 2

∴ $a_{1}$ = -7; $n_{2}$ = $n_{2-1}$ + 10

∴ $n_{2}$ = $n_{1}$ + 10

∵ $n_{1}$ = -7

∴ $n_{2}$ = -7 + 10 = 3 which is right

The recursive formula for this sequence is $a_{1}$ = -7; $a_{n}$ = $a_{n-1}$ + 10

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

3 0

3 years ago

Susan’s science class is performing an experiment that involves dropping objects from various heights, starting close to the gro

OlgaM077 [116]

Answer:

1) The function is monotonically increasing

2) The end behavior of the function is x tends to infinity as t(x) tends infinity

3) The x and y -intercept is (0, 0)

4) The endpoint is (0, 0)

5) The domain is 0 ≤ x ≤ +∞

The range is 0 ≤ t(x) ≤ +∞

Step-by-step explanation:

1) The given function of the time for the object to hit the ground is t(x) = 1/4·√x

Where;

x = The distance from the ground

t = The time it takes for the object to hit the ground

Monotonically increasing function, we have;

A function that is continuous on [a, b] and it can be differentiated in the domain, (a, b) is monotonically increasing when df(x)/dx > 0 for all values of x in (a, b)

However, where df(x)/dx < 0 for all values of x in (a, b), the function is decreasing

Therefore, using an online tool, we have;

dt(x)/dx = d(1/4·√x)/dx = 1/8 × 1/√x

Therefore, the dt(x)/dx > 0, for 0 < x < +∞ and the function is monotonically increasing

2) The end behavior of the function as x tends to infinity, t(x) = 1/4·√x approaches infinity

3) From the end behavior, and the nature, of the function t(x) = 1/4·√x, where both variables are directly proportional, we have that the x and y -intercept = (0, 0)

4) The endpoint is (0, 0) given that as t(x) tends to 0, x tends to 0

5) The domain is 0 ≤ x ≤ +∞

The range is 0 ≤ t(x) ≤ +∞.

5 0

3 years ago

Read 2 more answers

Find the volume of each question in the picture:

Kisachek [45]

Answer:

21.V=1746.1

22.V=1922.7

23.V=54.4

Step-by-step explanation:

V=h*w*l V=pir^2*h

V=12*8*14 . V=pi*4^2*8

V=1344 . V=402.1

V1+V2=1344+402.1=1746.1

V=pi*r^2*h V=2/3*pi*r^3

V=pi*6^2*13 V=2/3*pi*6^3

V=pi*36*13 V=2/3*pi*216

V=1470.3 V=452.4

V1+V2=1470.3+452.4=1922.7

V=1/3pi*r^2*h V=1/3pi*r^2*h

V=1/3pi*2^2*6 V=1/3pi*2^2*7

V=8pi V=28/3pi

V=25.1 . V=29.3

V1+V2=25.1+29.3=54.4

8 0

3 years ago