I need to solve for X

Answer:

  y = 1·cos(π/3·x) +3

Step-by-step explanation:

The general form of the trig equation will be ...

  y = (amplitude)·cos(2π/(period)·x) +(midline shift)

__

You have already determined correctly that the midline shift is 3 units.

The amplitude is the difference between the peak value (4) and the midline, so is ...

  amplitude = peak - midline = 4 -3 = 1

The period is the horizontal distance between corresponding parts of the graph. Here, the distance between peak values is 6 units, so the period is 6. That means the argument of the cosine function is ...

  (2π)/6·x = (π/3)·x

__

The function you are looking for is ...

  [tex]y=1\cdot\cos\left(\dfrac{\pi}{3}x\right)+3[/tex]

Answer:

[tex]y=\boxed{1}\: \cos(\:\boxed{1}\:x)+\boxed{3}[/tex]

Step-by-step explanation:

General form of cos periodic function:

y = A cos(B(x + C)) + D

where:

Parent function → y = cos(x)

The parent function y = cos(x) has a center line at y = 0.

The center line of the new function is at y = 3, so the parent function has been shifted vertically by 3 units.  Therefore, D = 3:

⇒ y = A cos(B(x + C)) + 3

The amplitude of the parent function is 1.

The amplitude of the new function is also 1.  Therefore, A = 1:

⇒ y = 1 cos(B(x + C)) + 3

The parent function has a peak at x = 0.

The new function has a peak at x = 0.  Therefore there has been no horizontal phase shift, so C = 0:

⇒ y = 1 cos(B(x + 0)) + 3

⇒ y = 1 cos(Bx) + 3

Finally, from inspection of the curve, the period appears to be 2π (6.28)

2π/B = 2π  so  B = 1

⇒ y = 1 cos(1x) + 3

Please see attached graph for reference.

Answer:

512 cubic inches

Step-by-step explanation:

[tex] \sqrt[3]{64} = 4[/tex]

[tex] {8}^{3} = 512[/tex]

The value for the test statistic and the p value on the test when the researcher wanted to see if different breeds of dogs will be x² = 0.9421 and 0.05 < p value < 0.10.

From the information given, the null hypothesis is that the variables have no difference while the alternative hypothesis is that they have a difference.

The degree of freedom will be:

= (3 - 1) × (3 - 1)

= 4

The critical value is 9.4877. In this case, the p value is greater than the significance level. Therefore, we fail to reject the null hypothesis.

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Answer:

Step-by-step explanation:

From Khan

The Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the total cost is $x if Jocelyn purchase cake from store A:

x = 1.50×150 + 25

x = 225+25 = $250

Let's suppose the total cost is $y if Jocelyn purchase cake from store B:

y = 2.25×150

y = $337.5

Difference between total cost = 337.5 – 250 = $87.5

Thus, the Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.

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The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

DE is tangent to circle C, at point F.

Then prove that angle ∠FEC and angle ∠ECF are complementary angles.

We know that the radius of the circle and the tangent on the circle make a right angle at the circumference.

Then angle ∠EFC will be 90°.

The sum of all interior angles of the triangle is 180°. Then we have

∠FEC + ∠ECF + ∠EFC = 180°

  ∠FEC + ∠ECF + 90° = 180°

            ∠FEC + ∠ECF = 90°

The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

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Answer:

$8.78

Step-by-step explanation:

first you need to find 20% of $175.50

which is 35.10

then you divide 35.10 by 4 leaving you with 8.78

please mark brainliest

Answer:

yes

Step-by-step explanation:

the slope stays constant throughout

Answer:

34.1 %

Step-by-step explanation:

One standard deviation below the mean to the mean covers approx  34.1 %

Answer:
56

Step-by-step explanation:

with Usain Bolt getting the the first place there is only 9 other contestants that can get the two other available medal position. When the second place is taken, there will be 8 remaining contestants for a third place therefore you do 9 multiplied by 8 to get 56 differrent combinations of contestants for the third or second place medal

Answer:

= 15

Step-by-step explanation:

21 + 15 = 36

36/2 = 18

Therefore, 15 is the missing number :33

Answer:

15.

Step-by-step explanation:

There are  6 ( even number) of values in the data so:-

the median is the mean of the 2 middle numbers.

Therefore, we have:

(x + 21)/2 = 18 where x is the missing number.

x + 21 = 2*18

x = 36 - 21 = 15.

Answer:

1.2

Step-by-step explanation:

{2.8, 0.75, +1.2}

Median: 1.2

Answer:  4.75

Step-by-step Explanation

Answer:

f(x ) ----> Output

x     -----> Input

-5  -------> Slope

2  --------> y -intercept

Step-by-step explanation:

f(x)  = -5x + 2

Compare this with y = mx + b

m = slope =  co efficient of x

b =  y-intercept = constant term

f(x ) ----> Output

x     -----> Input

-5  -------> Slope

2  --------> y -intercept

Answer:18 feet

Step-by-step explanation:

It would be 18 feet because if you add 8 feet from how far him and Sidney are then 10 feet from how far Sidney and Ling are.

Answer:

A) -7 is the least

Step-by-step explanation:

A)  (-5) + (-2) = (-7)

If two numbers have same sign, add and the result will have the common sign.

b) (-5) ÷ (-2) = 2.5

In division negative number divided by another negative number will give a positive number.

c) (-5)*(-2) = 10

In multiplication multiplication of two negative numbers will give a positive number.

d) = -5

In these (-7) is the least integer

Answer:

m∠1 = 83

m∠2 = 97

m∠3 = 83

m∠4 = 97

m∠5 = 83

m∠6 = 97

m∠7 = 83

Step-by-step explanation:

When two lines are parallel,

m∠8 = m∠4 = 97 ( Alternate interior angles )

m∠8 = m∠2 = 97 ( Alternate interior angles )

m∠6 = m∠4 = 97 ( Vertically opposite angles )

m∠2 and m∠3 are linear pair angles,

m∠2 + m∠3 = 180

97 + m∠3 = 180

m∠3 = 180 - 97

m∠3 = 83

m∠1 = m∠3 = 83 ( Vertically opposite angles )

m∠3 = m∠7 = 83 ( Alternate interior angles )

m∠7 = m∠5 = 83 ( Vertically opposite angles )

Using the Empirical Rule, it is found that 95% of the employees will have a travel time within the following range:

B. 8 minutes to 28 minutes.

It states that, for a normally distributed random variable:

Considering that the mean time is 18 minutes and the standard deviation is 5 minutes, the the bounds of the 95% range are given by:

Hence option B is correct.

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Answer:

A. 64

Step-by-step explanation:

In this problem, you're trying to find out what b is.

With the information that you have, you know that the answer will be 16, and your denominator (what you'll be dividing by) is 4. What you got wrong in this was thinking of it as "what times 4 equals 16", to which you got the answer 4 because 4*4=16. But, that's not exactly what you're supposed to be doing.

If we looked at it like that in this problem, you'd have b=4, making the equation then look like 4/4=16. This isn't true because 4/4=1.

Instead, to get the correct answer, you'll be multiplying 4, the denominator, by 16, our solution. With this, you'll get the answer A. 64.

If you have any more questions, feel free to reach out for help.

Answer:

We are given an equation of [tex]\frac{b}{4} = 16[/tex] and we need to determine what b is.  The way that we would do this is what you did and we would multiply both sides by 4 which would get rid of the 4 in the fraction and this would end up multiplying 16 by 4 giving us [tex]b=64[/tex].  This would best match with option A which is 64.

Hope this helps!  Let me know if you have any questions

Step-by-step explanation:

1 15625 m

2 13824 m

3 343 m

4 14167 m

5 cube with 25 m

Answer:

adjacent

Step-by-step explanation:

you are lucky its only 83 degrees where you live

its over 90 where i live

Answer:

1.) A

2.) D

3.) A

Step-by-step explanation:

Answer:

Either %16.67 or %17 if rounded

Step-by-step explanation:.

An easy way to do this is convert the probability from a fraction into a percent. We can do this by taking the total number of chocolate squares (18) and using this as a denominator. Then take the number of white chocolate squares (3) and using this as our numerator. This give us a fraction of 3/18. Now to turn this into a percent, we need to find what you need to multiply 18 by to get 100. We can do this easily by deviding 100 by 18. This is a long decimal so i'll keep it in fraction form (100/18). Now you just have to multiply 3 by (100/18). This is about 16.67. If the answers are rounded it will be 17%.

Answer:

100 packages

Step-by-step explanation:

If 5 packages out of 100 are incorrect , then there's a 1/20 chance that a package has an incorrect weight

Therefore out of 2000

it's

[tex] \frac{1}{20} \times 2000 = 100[/tex]

Hope it helps

Sorry I'm not really good at explaining

Answer:

Step-by-step explanation:

Based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.

Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".

Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

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This value is exact.

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

Explanation:

Use your favorite spreadsheet app to form a third column of values. This new column will be the result of multiplying the original two columns.

For instance, we have x*P(x) = 10*0.534 = 5.34 as the first entry of the new column. The other rows are treated in a similar manner. Refer to the screenshot below..

After getting that third column set up, add up those results. The sum is the expected value (aka the mean mu, which is the symbol [tex]\mu[/tex])

5.34 + 3.86 + 4.2 + 3.4 + 2.4 = 19.2