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3 years ago

10

Write three equivalent ratios for the given ratio circle the simplest form of the ratio 14/2

1 answer:

blagie [28]3 years ago

5 0

Three equivalent ratios to 14/2 is 7/1, 21/3, 28/4, in which 7/1 is the simplest form~

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Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9

Tpy6a [65]

ANSWER

D.
$A=3,P=2\pi,PS=(4,9)$

EXPLANATION

The given function is

$f(x) = 3 \sin(x - 4) + 9$

Comparing to the general form of a trigonometric sine function,

$f(x) = A \sin(Bx-C)+D$

$A=3$
The amplitude is absolute value of A

$|A| = |3| = 3$

$B=1$

The period is given by

$p = \frac{2\pi}{ B}$

$p = \frac{2\pi}{ 1} = 2\pi$

$C=4$

is a shift to the right of 4 units.

and

$D=9$

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D

6 0

3 years ago

Two new student clubs start at a school. Each club has a plan to increase membership.

Triss [41]

Answer:

The correct option is;

N = 4·w + 12

N = $3 (2)^w$

Step-by-step explanation:

The given plan the clubs will use to increase membership are;

Club 1: The starting number of members in the club = 12

The number of additional members added each week = 4

Club 2: The starting number of members in the club = 3

The total number of members at the end of each week = Double the the initial total membership

Therefore, we have;

For club 1, N = 12 + 4×w = 4·w + 12

N = 4·w + 12

For club 2, at week w, N = 3 × 2 × 2 ×...× 2 = $3 \times 2^w$

The correct option is therefore, N = 4·w + 12, N = $3 (2)^w$

5 0

3 years ago

Simplify the following expression.<br><br> 29.718 - 29.63

Oksi-84 [34.3K]

Answer:

0.88 is the correct answer

3 0

3 years ago

Answer the question above

Fiesta28 [93]

Answer:

AW the base because it is adjacent to 90°

3 0

3 years ago

Pete's dad usually deposits $25 into his account every week, and he wants the extra amount deposited to be the same each week. W

Anika [276]

Answer : 8(25+x) >500 ; x>37.5

Step-by-step explanation:

Given,

Usual deposit per week= $25

Let x be the extra amount.

New amount will be= 25+x ( per week)

Amount need to be deposited 8 weeks = 8(25+x)

As per given,

$8(25+x)>500$ [Required inequality]

$\Rightarrow\ (25+x)>\dfrac{500}{8}\\\\\Rightarrow\ x>\dfrac{500}{8}-25$

$\\\\\Rightarrow\ x>37.5$ [Required solution]

7 0

3 years ago