Solve: 10 sin^2(X) - 3sin(X) - 1 = 0
Let u = sin(x).
The given equation is equivalent to
(2u - 1)(5u + 1) = 0
(10u + 1)(u - 1) = 0
(5u - 1 )(2u- 1) = 0

Answers

Answer 1

Answer:

(2u-1)(5u+1)=0

(2u-1), sin(x)= 1/2

(5u+1), sin(x)= -1/5

The solutions to the equation:

x=pi/6 + 2kpi

x=5pi/6 +2kpi

3.34+2kpi

-0.201+2kpi

Step-by-step explanation:

Correct on edge

Answer 2

[tex](2u-1)(5u+1)=0(2u-1), sin(x)= 1/2(5u+1), sin(x)= -1/5The solutions to the equation:x=pi/6 + 2kpix=5pi/6 +2kpi3.34+2kpi-0.201+2kpi[/tex]

How do you know if equations are equivalent?

To solve this, you need to find "x" for each equation. If "x" is the same for both equations, then they are equivalent. If "x" is different (i.e., the equations have different roots), then the equations are not equivalent.

What is an example of an equivalent equations?

For example, if we take 3x + 12 = 7x - 2 and subtract 3x from both sides and add 2 to both sides, we get 14 = 4x. In doing this, we haven't changed the solution set, so 3x + 12 = 7x - 2 and 14 = 4x are equivalent.

Learn more about equivalent equations here:  https://brainly.com/question/2328454

#SPJ2


Related Questions

what is the median value of data set shown on the line plot?


enter your answer in the box

Answers

Answer:

A Median is the middle data value of an ordered data set, so, that leads me to believe that the answer is 6

Hope this helps!!

Have a nice day :)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

What is the arc measure, in degrees, of AC on circle P below?

Answers

Answer:

174 degrees.

Step-by-step explanation:

Hope this helps!

What number added to -31 results in a sum of O?

Answers

Answer:

31

Step-by-step explanation:

thats the absolute value

The answer is positive 31

A private club was reduced by 27 members in 3 weeks. Its size changed by the same number of members each week. What was the change in the club's size each week?

Answers

Final answer:

The club's size decreased by a total of 27 members over 3 weeks. By dividing 27 by 3, we find that the size changed by 9 members each week.

Explanation:

The question asks about a private club which lost 27 members over the course of 3 weeks, with an equal number of members leaving each week. To find the change in the club's size each week, we divide the total number of members who left by the number of weeks. This calculation is done by taking the total decrease in members, which is 27, and dividing it by the 3 weeks.

Identify the total decrease in members: 27.

Identify the total number of weeks: 3.

Divide the total decrease in members by the number of weeks: 27 members ÷ 3 weeks = 9 members per week.

Therefore, the club's size changed by 9 members each week.


 

What does the line on the bottom of the following signs mean? ≥ ≤

Answers

Answer:

Step-by-step explanation:

Equal to or less than

Answer: I hope this helps. Mark me brainlist

Step-by-step explanation:

The symbol ≤ means less than or equal to. The symbol ≥ means greater than or equal to.The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or, equivalently, at most b, or not greater than b). The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or, equivalently, at least b, or not less than b).The five inequality symbols in Maths are greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).

Laurie needs at least 40 pounds of topsoil for a new flower bed. Each bag of topsoil is 200 ounces. Laurie determines that if she buys 3 bags of topsoil she will have enough for the flower bed. Is Laurie correct? Why or why not?

A.Laurie is not correct because the weight of 1 bag of topsoil is equivalent to only 10 pounds.

B.Laurie is correct because 200 ounces is more than 40 pounds.

C.Laurie is correct because the weight of 3 bags of topsoil is exactly 40 pounds.

D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.

help i guess

Answers

Answer:

D

Step-by-step explanation:

I tried a it's not right sorry bro

Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.

Weight & Conversion

From the question, we are to determine if Larie is correct or not

From the given information,

Laurie needs at least 40 pounds of topsoil.

Then,

If she buys 3 bags of topsoil that weigh 200 ounces each, she will get 600 ounces of topsoil.

Now, convert 600 ounces to pounds

NOTE: 16 ounces = 1 pound

Then,

600 ounces = (600/16) pounds

600 ounces = 37.5 pounds

Hence, the 3 bags of topsoil will weigh 37.5 pounds of topsoil.

Since, Laurie needs at least 40 pounds of topsoil, then Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.

Learn more on Weight & Conversion here: https://brainly.com/question/11307613

how many different teams containing 5 members each can be formed from a group of 9 players

Answers

Answer:

1 team with 4 extra people

Step-by-step explanation:

Final answer:

126 different teams can be formed from a group of 9 players.

Explanation:

To determine how many different teams containing 5 members each can be formed from a group of 9 players, we use the concept of combinations in mathematics.

The number of combinations is given by the formula for n choose r (nCr), which is n! / (r! * (n-r)!),

where

n is the total number of items to choose from,

r is the number of items to be chosen, and

! denotes factorial.

In this case, n=9 and r=5.

Thus, using the combinations formula, we get:

9C5 = 9! / (5! * (9-5)!)

       = 9! / (5! * 4!)

       = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)

       = 126 different teams.

Therefore, 126 different teams can be formed from a group of 9 players.

There are two approaches to solving the equation -3x + 10 = 4x - 20
Subtract 4x from both sides. OR Add 3x to both sides.
-7x + 10 = –20 OR 10 = 7x - 20
Solve the equation using both approaches.
What is the solution?

Answers

Answer:

You can take this equation into two approaches.

#1 subtracting 4x from both sides:

-3x+10=4x-20 (subtract 4x from each side)

-7x+10=-20 (then subtract 10 from each side)

-7x=-30 (then divide by -7 to get x by itself)

x=30/7

#2 Add 3x to both sides:

-3x+10=4x-20 (Add 3x to both sides)

10=7x-20 (then add 20 to each side)

30=7x (divide both sides by 7)

30/7=x

Either way you do it you will get x=30/7 as your answer.

Hope this helps ;)

Answer:letter c x=30/7

Step-by-step explanation:

I need help finding X please

Answers

Hello

This is a right angle as you can see by the small square at the bottom. So this means that it is 90 degrees.

Because we already know part of the 90 degrees, we can do 90-50 degree which leave us with 40 degrees.

So as we look at 8x, it needs to equal 40

- 8x=40 divide both sides by 8

- x=5

Hope this helps!

Solve for x.



9x - 1 = -11

Answers

Answer:

X=-1.1 repeated

Step-by-step explanation:

9x - 1= -11

+1= +1

9x = -10

Divide by 9 on both sides

X = -1.1 repeating

Answer:

- 1 1/9

Step-by-step explanation:

9x - 1 = -11

Add 1 to both sides to eliminate -1 on the left side

9x - 1 + 1 = -11 + 1

9x = -10

Divide both sides by 9 to isolate x

9x/9 = -10/9

x = - 1 1/9

Which of these equations has a y-intercept of 4?

A. y=x+4
B. y=x-4
C. y=4x
D. y+4=x

Answers

Answer:

A

Step-by-step explanation:

Since A is already in slope intercept form, we know that the b value is already in the correct place.

y = mx + b

In slope intercept form, the b is the y int.

Thank me later :)

Answer:

Option A, y = x + 4

Step-by-step explanation:

Step 1:  Determine which option is correct

y = mx + b

m is the slope while b is the y-int

So... the equation with a 4 for b should be the correct answer.

Option A states the following:  y = x + 4

This shows that the y-int is 4 and the slope is 1.  So, this answer is correct.

Answer:  Option A, y = x + 4

which equation represents a circle with a center at (-3,5) and a radius of 6 units

Answers

Answer:

(x+3)^2 +(y-5)^2 = 36

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 +(y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x- -3)^2 +(y-5)^2 = 6^2  

(x+3)^2 +(y-5)^2 = 36

Ruth Brown wants to borrow $2,600 for 90 days to pay her real estate tax. State Savings
and Loan charges 7.25% ordinary interest while Security Bank charges 7.5 % exact
interest.
(a) What is the interest of each loan?
(b) What is the maturity value of each loan?
(c) What is the maturity value of the loan if it has an ordinary interest?
(d) What is the maturity value of the loan if it has an exact interest?
(e) Where should they borrow the money?

Answers

Final answer:

To find the interest and maturity value of each loan, we can use the formula. For State Savings and Loans, the interest is $50.23 and the maturity value is $2,650.23. For Security Bank, the interest is $53.36 and the maturity value is $2,653.36. They should borrow the money from State Savings and Loans as it offers a lower interest rate and a slightly lower maturity value.

Explanation:

To find the interest and maturity value of each loan, we can use the formula:

Interest = Principal * Rate * Time

Maturity Value = Principal + Interest

(a) For State Savings and Loan, the interest is calculated as:

Interest = $2,600 * 0.0725 * (90/365) = $50.23

The maturity value is:

Maturity Value = $2,600 + $50.23 = $2,650.23

For Security Bank, the interest is calculated as:

Interest = $2,600 * 0.075 * (90/365) = $53.36

The maturity value is:

Maturity Value = $2,600 + $53.36 = $2,653.36

(b) The maturity value of each loan is $2,650.23 for State Savings and Loan and $2,653.36 for Security Bank.

(c) If the loan has ordinary interest, the maturity value is the same as in part (b) for each loan.

(d) If the loan has exact interest, the maturity value is the same as in part (b) for each loan.

(e) They should borrow the money from State Savings and Loan as it offers a lower interest rate and a slightly lower maturity value.

7x+11x
12y-5y+19
3t+6z-4t+9z+z
19mn+6x^2+2nm
5x+3(x+1)+2x-9
Simplify each expression

Answers

Answer:

18 x

7 y+19

-t+16 z

6 x^2 +21 m n

10 x - 6

Step-by-step explanation:

Add the coefficients

Subtract the coefficients

Combine like terms

Combing like terms

Distribute the three into the parenthesis then combine the like terms.

Look at the attached picture ⤴

Hope it will help u........

Kesha threw her baton up in the air from the marching band platform during practice. The equation h(t) = −16t² + 54t + 40 gives the height of the baton, in feet, t seconds after it is thrown from the platform. What is the height of the platform? At what speed was the baton thrown? If she doesn't catch it, when will it hit the ground?

Answers

Answer:

(a)Height of the platform=40 feet

(b)Initial Velocity=54 ft/sec

(c)4 seconds

Step-by-step explanation:

The equation [tex]h(t) = -16t\² + 54t + 40[/tex] gives the height of the baton, in feet, t seconds after it is thrown from the platform.

(a)Height of the platform

The Height of the platform is the height at which t=0

[tex]h(0) = -16(0)\² + 54(0) + 40[/tex]

Height of the platform=40 feet

(b)To determine the speed at which the baton was thrown, we find the velocity, v(t).

[tex]v(t)=\frac{dh}{dt} =\frac{d}{dt} (-16t\² + 54t + 40)=-32t+54\\$At t=0\\v(0)=-32(0)+54=54 feet/sec[/tex]

(c)The baton will hit the ground when its height, h(t)=0

[tex]-16t\² + 54t + 40=0\\\text{Solving the quadratic formular}\\t = \frac{-54\pm \sqrt{(-54)^2 - 4*40*(-16)} }{2*-16}\\= \frac{-54\pm \sqrt{5476 }}{-32}\\= \frac{-54\pm 74}{-32}\\t=\frac{-54+ 74}{-32},\frac{-54- 74}{-32}\\t=-0.625\:or \:t=4[/tex]

Since -0.625 is not valid, the baton will hit the ground 4 seconds after it is thrown.

Determine the volume of this prism.

Answers

Answer:

54 in cubed.

Step-by-step explanation:

Area of the base trapezoid 18 inches. Times the height of the prism so 3. So 18 times 3 is 54, Hope this helps!

Laura mowed 8 lawns. She earned $12, $10, $15, $15, $15, $10, and $9 for seven lawns. How much did she earn the eighth time if the mean of the data is $12? *

Answers

Answer:

She earned $10 for mowing the 8th lawn.

Step-by-step explanation:

Let's use the average formula and n = 8, with x representing the 8th score:

                         12 + 10 + 15 + 15 + 15 + 10 + 9 + x

average = 12 = -------------------------------------------------

                                                  8

                                                                              86 + x

Summing up the numerator, we get average = ----------- = 12

                                                                                   8

Multiplying both sides by 8 yields                          86 + x = 96

Solving for x, we get x = 10.

She earned $10 for mowing the 8th lawn.

Answer:

She earned $10 for the eighth yard.

Step-by-step explanation:

You have 7 known numbers and 1 unknown giving you a total of 8 numbers.  When doing mean, you add up all the numbers and divide by the amount of numbers you have (in this case 8).  If you add all the numbers in this particular data set you get 86.  You know that you have to divide by 8 and you need 12 to be the answer.  Using multiplication facts, we know that 96 divided by 8 is equal to 12.  That means the answer must be 10 for the eighth yard because 86+10=96.


What are all of the keys that must be pressed, in correct
order, on the calculator shown to find the value of 6,704 x 9?

1.) 6704*9
2.) 6.704*9
3.) C6704*9
4.) C6.704*9

Answers

The answer is number 1
The answer is number 1

Ryan gets off the bus at 4: 09 PM. He rides the bus for 17 minutes to get home from school. At what time does Ryan get on the bus?

Answers

He gets on the bus at 3:52 PM.

40% of a number is 38 what is the number

Answers

Answer:

15.2

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

38/2 = 19 = 20% x 5 = 100%

Xerxes, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first?

Answer in decimal form. Round to 3 decimal places as needed.

Answers

Answer:

0.143

Step-by-step explanation:

From counting principle, we can say that:

There are 7! ways of the 7 people to arrive first. Any one of them can come first. But, what is the probability that Xerxes with arrive first?

We take that Xerxes is the first one to arrive, then from the 7 - 1 = 6 remaining people, they can arrive in 6! ways. So

Probability Xerxes arrives first = 6!/7! = 0.1429

Rounding to 3 decimal places, it will be:

Probability Xerxes arrives first = 0.143

8x-y=-6 2x-3y=4
Substitution ASAP

Answers

Answer:

down below

Step-by-step explanation:

Point Form:

(−1,−2)

Equation Form:

x=−1,y=−2

Answer:

(- 1; - 2)

Step-by-step explanation:

y = 6 + 8x

2x -3y = 4

2x - 3(6 + 8x) = 4

x = - 1

y = 6 + 8 × (- 1)

y = - 2

(- 1; - 2)

Milan runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Answer: 4.8 miles

Step-by-step explanation:

6/55 = x/44

55x = 6(44)

55x = 264

x = 264/55 = 4.8 miles

Which of these values cannot represent the probility of an event happening? 0.33 56% 7/8 1.2

Answers

Answer:

1.2

Step-by-step explanation:

Because the probability cannot be over 1 (assuming 1 is 100%) you can't have a 120% chance.

1.2 Answer:

dont thank me thank other guy Step-by-step explanation:

Line ABC is a straight line.

Line A B is a straight line. Line B comes out of the line to form angles 1 and 2.

Which describes the relationship between Angle 1 and Angle 2?
Angle 1 and Angle 2 are complementary angles.
Angle 1 and Angle 2 are supplementary angles.
Angle 1 and Angle 2 are vertical angles.
Angle 1 and Angle 2 are acute angles.

Answers

Answer:

B: supplementry angles

Step-by-step explanation:

Answer: Angle 1 and Angle 2 are supplementary angles.

Step-by-step explanation:

Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x

Answers

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

             a = 5

             b = x - 1

             c = x

Step:1

      Pythagorean theorem is,

              [tex]a^{2} + b^{2} = c^{2}[/tex]................................(1)

      (  It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

      From the given values the equation (1) becomes,

                       [tex]5^{2} + (x-1) ^{2} = x^{2}[/tex]

                             ( [tex](a-b)^{2} = a^{2} + b^{2} -2ab[/tex] )

               25 + ( [tex]x^{2}[/tex] + 1 - 2x ) = [tex]x^{2}[/tex]

                           25 + 1 -2x = 0               ( ∵ Eliminate [tex]x^{2}[/tex] in both sides)

                                     26 = 2x

                                       x = 13

Step:2

        From the values of x,

                   a = 5

                    b = ( 13 - 1 ) = 12

                   c = 13

Result:

            The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

The following histogram summarizes the number of points Nate has scored each game this season.

Answers

Answer:8/25

Step-by-step explanation:

Answer:

[tex]\frac{8}{25}[/tex]

Step-by-step explanation:

Experimental probability = Number of favorable outcomes / Total number of outcomes

Number of favorable outcomes = [tex]8[/tex]

Total number of outcomes = [tex]3+5+8+6+2+1 = 25[/tex]

The probability that Nate scores [tex]8-11[/tex] points next basketball game is [tex]\frac{8}{25}[/tex].

Elroy and Rose are at Schematic to buy a school planner. There are 333 colors (purple, red, and blue) and 222 formats (lined and unlined) offered. They each created a display to represent the sample space of randomly picking a color and a format.
Whose display correctly represents the sample space?

Answers

Answer:

Both of them

Step-by-step explanation:

Answer:

Both of them

Step-by-step explanation:

eight and eleven hundredths as a decimal

Answers

Answer:

this is your answer 8.110

Answer:

8.11

Step-by-step explanation:

is a whole number so it goes in front of the decimal points. eleven hundredths could be written as .110 or.11

3) The algebraic process you use to isolate a variable in order to find what values, numbers, etc. will make an equation true. You _ _ _ _ _ the equation.

Answers

Answer:

  You solve the equation.

Step-by-step explanation:

The process of finding variable values that make the equation true is called solving the equation.

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