Select the functions that have identical graphs.
1.) y = sin(3x +pi/6)
2.) y = cos(3x - pi/6)
3.) y = cos(3x - pi/3)

Answer:

x = 50°

Step-by-step explanation:

130 and x are adjacent angles on a straight line and sum to 180° , so

x + 130° = 180° ( subtract 130° from both sides )

x = 50°

The money will she have after four years is $276.26, the correct option is D.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Given

Sophia puts $250 in the bank with a 2.5% annual interest rate compounded monthly.

The compound interest is given by;

[tex]\rm Amount = Principal ( 1+\dfrac{Rate }{12})^{12\times Time}[/tex]

Substitute all the values in the formula

[tex]\rm Amount = Principal ( 1+\dfrac{Rate }{12})^{12\times Time}\\\\Amount =250(1+\dfrac{0.025}{12})^{12\times 4}\\\\Amount =250(1.002)^{48}\\\\Amount = 250 \times 1.10\\\\Amount=276.26[/tex]

Hence, the money will she have after four years is $276.26.

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Answer:

4.2

Step-by-step explanation:

 Step-by-step explanation:

Answer:

42 minutes

Explanation:

Answer : True

Explanation: 24 Hours = 1 Day

Substitute 1 For The 24 Hours And You Get  2 : 1 And It Becomes True.

◊ YusuCr ◊

Answer:

E 48

Step-by-step explanation:

64 x 3/4=48

Answer:

Some of 3's

150, 180, 210, 240, 270, 300, 600, 900

Some of 4's

120, 160, 200, 240, 280, 320, 360, 400, 800

One thing these numbers have in common,

is that the 3-digit chain always ends in 1,200.

Hope this helps!!!

Answer:

x = - 2

Step-by-step explanation:

Reflection across the y-axis:

( x , 6 ) ------> ( - x , 6 )

Translation 2 units right and 4 units down:

( - x , 6 ) -------> ( - x + 2 , 6 - 4 ) = ( - x + 2 , 2 )

Dilation by a factor of 2:

( - x + 2 , 2 ) ------> ( ( - x + 2 ) × 2 , 2 × 2 ) = ( 8 , 4 ) ⇒

( - x + 2 ) × 2 = 8

- 2x + 4 = 8

- 2x = 4

x = - 2

Answer:

-7.34 repeating

Step-by-step explanation:

A rational number is described as a number that can be expressed as a fraction or ratio of two integers and -7.34 repeating is the only option that does not fit this description. Repeating decimals can not be rational.

Answer:  [tex]-\sqrt{14}[/tex] in the lower right corner

===========================================================

Explanation:

A rational number is any fraction like 2/3 or 7/9. Pick any two integers, divide them, and you get a rational number. Zero cannot be in the denominator.

Based on that, we can see that 129/999 is rational, which is crossed off the list of potential answers.

Furthermore, [tex]\sqrt{16} = 4 = \frac{4}{1}[/tex] is also rational since we can form a fraction of integers. Cross this off the list as well. Always try to simplify the expression as much as possible.

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When converting a fraction to decimal form, it turns out that any rational number has either two cases:

This means the number [tex]-7.\overline{34}[/tex] = -7.3434343434... is also rational, which is crossed off the list also.

----------------

The only thing left is [tex]-\sqrt{14}[/tex] which is not rational, and therefore we consider it irrational. We cannot form a fraction of integers to represent this square root value. Note how 14 is not a perfect square.

Answer: Supply is the total amount of goods available; quantity supplied is how much is made available at each price level.

1. quantity supplied increases

2. Supply is the total amount of goods available; quantity supplied is how much is made available at each price level.

3. perfectly inelastic

4. an artist

5. Price and quantity supplied move in the same direction; as price decreases, quantity supplied decreases and as price increases, quantity supplied increases.

Answer:

side

Step-by-step explanation:

if your talking about the dark purple it would be the side but if your talking about the other one it would be front i cant rlly tell by the colors.

i hope this helps:)

Answer:

SAS

Step-by-step explanation:

Y is congruent to X and T is congruent to S, the two triangles kiss each other.

Answer:

16 %

Step-by-step explanation:

(24/150) . 100 = 16

Using the conditional probability concept, it is found that the statement is true, as in a two-way probability table, we find the probability of each event B considering that each event A has happened.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem, considering the definition of conditional probability given above, the statement is true, as in a two-way probability table, we find the probability of each event B considering that each event A has happened.

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Step-by-step explanation:

Example:

[tex]2a^{-1}[/tex]

To include the negative exponent, but discard the negative exponent, the expression has to be written as:

[tex]2\frac{1}{a^{1} } \: or \:2 \frac{1}{a}[/tex]

Using the example, we can determine that:

[tex]-4x^{-1}=-4\frac{1}{x}[/tex]

Answer: What is the answer choices

Step-by-step explanation:

Answer:

4 3/4 inches

Step-by-step explanation:

21 2/8 - 16 4/8 = 4 3/4

If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is [tex]10x^2+53x+63[/tex] and degree of this expression is 2 and we proved that it satisfy closure property .

A quadrilateral with four right angles is called rectangle .

Given that sides are (2x+7) and (5x+9)

Hence area of rectangle can be calculated as

[tex](2x+7)(5x+9)\\\\2x(5x+9)+7(5x+9)\\\\10x^2+18x+35x+63\\\\10x^2+53x+63\\[/tex]

Now we can see that this is a second degree polynomial

We got polynomial   [tex]10x^2+53x+63[/tex] by multiplying two polynomial (2x+7) and (5x+9) hence it's closure property .

If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is [tex]10x^2+53x+63[/tex] and degree of this expression is 2 and we proved that it satisfy closure property .

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-the answer is -3

4

.....

~Shoto Todoroki here~

Answer:

( n − 2 ) × 180

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

hope this helps :))

Using proportions, it is found that the correct statement is:

D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.

A proportion is a fraction of a total amount.

In this problem, the table is from a sample of 80 visitors.

Since the proportions stay the same, just the number of visitors change, the correct statement is given by:

D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports.

As from the 80 students, 28 prefer camping and 14 prefer water sports, hence from 200, these numbers will be of 70 and 35 respectively.

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Answer: D. The number of visitors who prefer camping will be 2 times the number of visitors who prefer water sports

Step-by-step explanation: If you add up all the number of visitors, you'll get 80. Since we want to find the numbers for the next 200 visitors, we'll divide 200 by 80, which will get us 2.5. Then you'll multiply all the numbers by 2.5 to get:

Camping = 70

Hiking Trails = 55

Water Sports = 35

Biking Trails = 40

After that, you'll just compare the numbers to get your answer.    

Answer:

37 + g = 305 + f

explanation:

37 and g more means addition

305 increased by f means also addition

Form the equation

Solve it out

Answer:

Therefore, the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Step-by-step explanation:

Answer: Assuming 3x 30 = 3x+30, x = 15

Step-by-step explanation:

Complementary angles sum to 90.

Therefore, x + 3x + 30 = 90

4x = 60

x = 15

Answer:

342.7 cubic cm

Step-by-step explanation:

see image

Calculate the volumes of the cylinder and the prism. Subtract.

see image.

Volume is the amount of three-dimensional space enclosed by a closed surface. The volume of the solid is 342.655 cm³.

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.

The volume of the solid is the difference between the volume of the cylinder and the volume of the square prism.

[tex]\text{Volume of the solid} =\text{Volume of the cylinder}-\text{Volume of the square prism}[/tex]

[tex]\text{Volume of the solid} =(\pi r^2 h)-(a^2 h)[/tex]

We know that the radius of the cylinder is 4 cm while the length of the side of the square prism is 4 and the height of both is 10cm. therefore, substituting the values,

[tex]\text{Volume of the solid} =(\pi\times 4^2 \times 10)-(4^2 \times 10)[/tex]

                               [tex]=4^2\times10 (\pi -1)\\\\= 342.655\RM\ cm^3[/tex]

Hence, the volume of the solid is 342.655 cm³.

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Answer:

if c= 1+px^2+3p and b= 2p+6p^2 find an expression that equals 2c-b in standard form

2p² + 14p + 2

Step-by-step explanation:

Given that;

C= 1+p²+3p

B=2p+6p

The expression that equals to : 2C - -B will be;

2{1+p²+3p} - {-2p-6p}

2+2p²+6p + 2p + 6p

2p² + 6p +2p +6p +2

2p² + 14p + 2

The probability of winning a game of checkers against your friend is 67%.

Probability can be described as the process of determining the chances of an event happening. The chances that an event would occur has a value that lies between 0 and 1. A value of 0 is given when the event does not occur and a value of 1 if the event occurs.

The probability of winning a game of checkers = probability of winning both games / probability of winning a game of chess

20% / 30% = 67%

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Answer:I think the answer is multiplication property of equality

Step-by-step explanation:

it is being multiplied to get the answer so that should be the answer

Answer:

the answer should be the multiplication property of equality

Step-by-step explanation:

because you're multiplying

Hope this helps! :)

Answer:Lemon-lime from Gatorade is entirely delicious, especially when chilled. It is easy to down and doesn’t leave any unpleasant aftertaste that is commonly associated with lemon-flavored drinks. As one of the original flavors of Gatorade, lemon-lime is as good as it gets. It is almost a neutral flavor and is universally liked.

Step-by-step explanation: