What is the period of the graph of y = 5cos(2x − 1) + 3?
O A 1/2
OB. 2pi
OC. 2
D. Pi

Answer:

45°

Step-by-step explanation:

Step-by-step explanation:

Given equation:  -3x + 2y = -4

Add 3x to both sides of the equation:

-3x + 2y + 3x = -4 + 3x

2y = 3x - 4

Divide both sides by 2 to solve for y:

\(\frac{2y}{2} = \frac{3x - 4}{2}\)

\(y = \frac{3}{2}x - 2\)  (This is the linear equation in slope-intercept form).

To graph, we could determine the y-intercept of the equation. The y-intercept is the value of y when x = 0.  

Plug in x = 0 into the equation:

\(y = \frac{3}{2}x - 2\)

\(y = \frac{3}{2}(0) - 2\)

y = - 2  

Therefore, the y-intercept is (0, -2).

Now, we can plot the points on the graph using the slope,  \(m = \frac{3}{2} = \frac{rise}{run}\). Start by plotting the y-intercept onto the graph, then you can plot the next graph by going 3 units up and 2 units to the right. Keep repeating the steps until you form a line. Please see the plotted points in the attached image.  

Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

Answer:

range is y-coordinates so it should be 40

Step-by-step explanation:

domain is x-coordinates

(b) The probability that the call is not for medical assistance = 0.37

(c) The probability that two successive calls will both be for medical assistance = 0.3969

(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331

(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662

The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:

Probability (Event) = Positive Results/Total Results

                                 = x/n

Given P (call for medical assistance) = 0.63

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P (Not Medical Assistance) = 1 - P (Medical Assistance)

                                            = 1 - 0.63

                                            = 0.37

Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:

P (2 calls for medical assistance)

= 0.63 × 0.63

= 0.3969

The probability that the first is for medical assistance and the second is not for medical assistance will be:

P (1st for medical assistance × 2nd for not medical assistance)

= 0.63 × 0.37

= 0.2331

The probability that exactly one of the next two calls is going to be for medical assistance will be:

P (Exactly 1 call for medical assistance)

= (0.63×0.37) + (0.63×0.37)

= 0.2331 + 0.2331

= 0.4662

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Answer:

5,-2

Step-by-step explanation:

took the test

The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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Answer:

the answer is 24 hope this helped

Step-by-step explanation:

If the swim team worked out for 8 hours last week, 6 of those hours were spent in the pool.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, In order to prepare for swim meets, the Red Ravens Swim Team practices for several hours each week. They practice in the water for three times as long as they practice in the gym.

Since the waiting time is three times as in pool times

Let "t" be the time in the pool during practice

thus, Waiting time =  3t

Also given,  the swim team practiced 8 hours total last week

So,

t + 3t = 8

t = 2

Thus, time spent in the pool = 3t = 3*2 = 6

therefore, If the swim team practiced 8 hours total last week, 6 hours they spend in the pool.

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Answer:

Step-by-step explanation:

826,783

82*6* (we go up)

826,783 is rounded to 830,000

Answer:

\(x=4y^2-24y+30\)

\((x-4.5)^2+(y-2.5)^2=23\)

Step-by-step explanation:

Standard form of a sideways parabola:  \(x=ay^2+by+c\)

Given equation:

\(4y^2-x-24y+30=0\)

Add x to both sides:

\(4y^2-24y+30=x\)

\(\implies x=4y^2-24y+30\)

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

Standard form of circle equation

\((x-a)^2+(y-b)^2=r^2\)

(where (a,b) is the center and r is the radius)

Given equation:

\(2x^2+2y^2-18x-10y+7=0\)

Group like terms:

\(2x^2-18x+2y^2-10y+7=0\)

Divide by 2:

\(x^2-9x+y^2-5y+3.5=0\)

Factor by completing the square for each variable:

\((x-4.5)^2-20.25+(y-2.5)^2-6.25+3.5=0\)

Rearrange into standard form:

\((x-4.5)^2+(y-2.5)^2=23\)

Therefore, the circle has a center at (4.5, 2.5) and a radius of √23

Answer: 1,000 cm^3

Step-by-step explanation:

10*10*10=1,000 cm^3

Answer:

The remainder is 9

Step-by-step explanation:

x-7=0

x=7

Plug x=7 into the given fxn

-2(7)²+15(7)

-2(49)+105

-96+105

9

Answer:

2x is the greatest common factor.

Step-by-step explanation:

Looking for what they have in common and what is the highest number they can both go into.

Answer:

Aaron has 4 apples now.

Step-by-step explanation:

Well it says he already has two apple's

And that he add two more apple's

So if that is true we have to use addition to solve this

2+2=4

So Aaron has 4 apples

Answer:

x=-pie/12

sinxcosx=-1/4

multiply both sides by 2

sin2x = 2sinxcosx we know

now equation will be

sin2x = -1/2

2x=-pie/6

x=-pie/12

Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.

Answer:

Step-by-step explanation:

Corresponding parts of congruent triangle are congruent.

ΔSTU  ≅ ΔKLM

a) TU =  LM

b) KM = SU

c) LK =  TS

d) ∠M = ∠U

e) ∠T = ∠L

f) ∠UST = MKL

g) ΔUST  ≅ ΔMKL

h) ΔTUS  ≅ ΔLMK

9514 1404 393

Answer:

  t ≈ 0.590 s (ascent); 5.532 s (descent)

Step-by-step explanation:

We are interested in the values of t when s=16.

  s = 30t -4.9t²

  4.9t^2 -30t +16 = 0 . . . . . substitute 16 for s; put in standard form

The quadratic formula can be used to find the solutions:

  t = (-(-30) ±√((-30)² -4(4.9)(16)))/(2(4.9))

  t = (30 ±√586.4)/9.8 ≈ 0.59023, 5.53221 . . . . seconds after launch

a) It will take 0.590 seconds to reach 16 m height initially.

b) It will take 5.532 seconds to return to 16 m height on descent.

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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I think it's TRUE so yeah.

The number line first represents the solution to the inequality x/-1 > -6 option first is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The complete question is:

Which of the following number lines represents the solution set of x/-1 > -6?

For the number lines shown in the attached picture, please refer to the picture.

We have an inequality:

x/-1 > -6

x < 6  

x ∈ (-∞, 6)

Thus, the number line first represents the solution to the inequality x/-1 > -6 option first is correct.

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The following percentages are listed below:

In this question we have seven cases of real life situations in which percentages are used. Mathematically speaking, percentages are represented by the following expression:

x = r / r' × 100       (1)

Where:

Now we proceed to determine quantities related to percentages:

2.8 mm as a per cent of 2.24 cm

x = (2.8 mm / 22.4 mm) × 100 %

x = 12.5 %

What per cent of 1.5 m is 60 cm?

x = (60 cm / 150 cm) × 100 %

x = 40 %

What per cent of 2 kg is 125 g?

x = (125 g / 2000 g) × 100

x = 6.25 %

What per cent of R 6 to 40 p?

x = (40 / 600) × 100

x = 6.667 %

What per cent of a day is 10 h?

x = (10 h / 24 h) × 100

x = 41.667 %

What per cent of 7 1 / 3 m in 5 1 / 2 m ?

x = [(11 / 2) / (22 / 3)] × 100 %

x = 75 %

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If the social security tax to be paid is 1.5 percent of one's income, and Jadiel earned $23,400 this year, then he has to pay $351 as his social security tax.

As per the question statement, the social security tax to be paid is 1.5 percent of one's income, and Jadiel earned $23,400 this year working part time.

We are required to calculate the amount Jadiel has to pay from his income as his social security tax.

To solve this question, we simply need to calculate 1.5% of Jadiel's annual income to obtain our desired answer, that is,

1.5% of $23400 = $[(1.5/100) * 23400] = $(1.5 * 234) = $351.

Hence, Jadiel has to pay $351 as his social security tax for this year.

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ANSWER:

(a) 2 boxes

(b) 132 boxes

STEP-BY-STEP EXPLANATION:

We can write a function based on the following:

(a) It would be an arithmetic sequence, we replace each value and it would be as follows:

To calculate the number of boxes in the entire display, we follow the following formula:

The missing values are

<UTQ = 41 degree

x= 1

<UQT = 47 degree

We have a parallelogram QRST.

We know that the opposite sides of the parallelogram is equal and parallel then

QR || ST

QT || SR

Then, <SRT = <RTQ (<UTQ) (alternate Interior Angle)

<UTQ = 41

Similarly, <UQT = <SRQ = 47

Now, RU = UT

2x + 1= 3

2x = 2

x= 1

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Answer:

seriously, what's it called?

Answer:

221.0 m

Step-by-step explanation:

First, find x using trigonometric ratio formula:

Reference angle = angle of depression = angle of elevation = 64°

Opposite side length = 142 m

Adjacent side length = x

Thus:

tan(64) = 142/x

x*tan(64) = 142

x = 142/tan(64)

x = 69.3 (nearest tenth)

Next, find distance from top of the hill to the buoy using Pythagorean Theorem.

Let the distance be y.

We would have:

y² = 142² + (69.3 + 100)²

y² = 20,164 + 28,662.49

y² = 48,826.49

y = √48,826.49

y = 221.0 m (nearest tenth)

Answer:

false

Step-by-step explanation:

I hope it helps you

Answer:

false

Step-by-step explanation:

becaus the statemant is not true