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Lina20 [59]
4 years ago
11

Please help me!!! 6 points! Find the vertical shift

Mathematics
1 answer:
alex41 [277]4 years ago
5 0

Answer:

0.009 units in the positive y direction.

Step-by-step explanation:

Vertical shift is simply the value of the constant.

In this case, if you expand the formula by multiplying 0.9 into the parentheses,

y = 0.9 sin [(π/3) - x] + (0.9)(0.01)

y = 0.9 sin [(π/3) - x] + 0.009

Here the value of the constant is 0.009 and it is positive, hence the vertical shift is 0.009 units in the positive y direction.

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Leviafan [203]

Answer:d

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8 0
3 years ago
Read 2 more answers
Find the annual interest rate.
slega [8]

The annual interest rate is 3.5%.

Solution:

Given Interest (I) = $26.25

Principal (P) = $500

Time (t) = 18 months

Rate of interest (r) = ?

Time must be in years to find the rate per annum.

1 year = 12 months

Divide the time by 12.

Time (t) = \frac{18}{12}=\frac{3}{2} years

Now, find the rate of interest using simple interest formula.

<u>Simple interest formula:</u>

$I=\frac{Prt}{100}

$26.25=\frac{500\times r\times \frac{3}{2} }{100}

$26.25\times 100 =500\times r\times \frac{3}{2}

$2625 =250\times r\times 3

$2625 =750\times r

$\Rightarrow r=\frac{2625}{750}

⇒ r = 3.5%

Hence the annual interest rate is 3.5%.

8 0
4 years ago
20 Points!
AnnyKZ [126]

Answer:

Corresponding angles

Step-by-step explanation:

When two lines are crossed by transversal . the angles in matching corner are corresponding angles .

They occupy same relative position where the transversal cuts the two parallel lines .

<em><u>Addi</u></em><em><u>tional</u></em><em><u> information</u></em>

  • The corresponding angles theorem states that if two parallel lines are cut by the transversal then the pair corresponding angles are equal .

<u>Note</u><u>:</u>

  • A theorem is the proven statement which is true.

8 0
3 years ago
Diane sold some stuffs at a garage sale. She spent one-half of the money she made on a new bicycle. Next, she spent one-half of
Evgen [1.6K]

Answer:

$160

Step-by-step explanation:

Diane sold some stuffs at a garage sale.

Let the total value of the money Diane made = x

She spent one-half of the money she made on a new bicycle.

Amount spent on a Bicycle = 1/2 × x = 1/2x

Next,

Amount left

= x - 1/2x = 1/2x

She spent one-half of what was left on a portable stereo.

Amount spent spent on Portable stereo

= 1/2 × 1/2x

= 1/4x

If Diane had $40.00 left,

Hence:

The fraction of what was left is calculated as:

= x - (1/2x + 1/4x)

= x - (3/4x)

= 1/4x

Hence:

1/4x = $40

We can find the value of x now.

1/4 × x = $40

x/4 = $40

x = $40 × 4

x = $160

Therefore, the amount she made from the garage sale is $160

8 0
3 years ago
I need help on this
andrey2020 [161]
Wow that looks really hard andddddd I'm dumb sorry
5 0
4 years ago
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