sinx =căn 2/3
sinx=5/4
sinx =1
sin3x=can3/2
sin(x-60)=-1/2
sin3x=1/2

Answer:

x = y/( ku-1)

Step-by-step explanation:

Here in this question, we are asked to solve for x.

we have;

Ux = x+ u/ k

cross multiply;

k * Ux = x + y

kUx = x + y

kUx- x = y

x(KU-1) = y

x = y/( ku-1)

Answer:

D. P(5+ 6's) = 0.4063

Step-by-step explanation:

Binomial distribution.

For the distribution to be applicable, the experiment must

1. Have a know and constant number of trials

2. Probability of success of each trial remains constant (and known if available)

3. Each trial is a Bernoulli trial, i.e. with only two outcomes, success or failure.

4. Independence between trials.

Let  

n = number of trials  = 25

p = probability of success of each trial  = 1 / 6

x = number of successes  (0 ≤ x ≤ n)  = 5

C(n,x) = number of combinations of picking x identical objects out of n

Applying binomial distribution

P(x,n) = probability of x successes in an experiment of n trials.

= C(n,x) * p^x * (1-p)^(n-x)

For n = 25 trials with probability of success (roll a 6) = 1/6

and x = 5,6,7,8,...25

It is easier to calculate the complement by

P(5+ 6's) = 1 - P(<5 6's)

= 1 - ( P(0,25) + P(1,25) + P(2,25) + P(3,25) + P(4,25) )

1- (

    P(0,25) = C(25,0) * (1/6)^0 * (5/6)^25 = 0.0104825960103961

    P(1,25) = C(25,1) * (1/6)^1 * (5/6)^24 = 0.05241298005198051

     P(2,25) = C(25,2) * (1/6)^2 * (5/6)^23 = 0.1257911521247532

    P(3,25) = C(25,3) * (1/6)^3 * (5/6)^22 = 0.1928797665912883

    P(4,25) = C(25,4) * (1/6)^4 * (5/6)^21 = 0.2121677432504171

)

= 1 - 0.59373

= 0.40626

= 0.4063 (to 4th decimal place)

Answer:

k=7

Other root=3

Step-by-step explanation:

If x=4 is a root of the given equation, then it satisfies the given equation.

4^2-k(4)+12=0

We can solve this equation for k.

16-4k+12=0

28-4k=0

28=4k

28/4=k

7=k

So the equation is x^2-7x+12=0

Factor form is (x-3)(x-4)=0 since-3(-4)=12 and -3+-4=-7.

This implies x=3 and x=4 are roots.

Answer:

28

Step-by-step explanation:

x = medals won by Russia

y = medals won by China

z = medals won by United States

Write a system of equations:

x + y + z = 96

z = y + 4

x + z = 2y

Substitute the second equation into the first and third:

x + y + y + 4 = 96

x + y + 4 = 2y

Simplify:

x + 2y = 92

x + 4 = y

Substitute for y:

x + 2(x + 4) = 92

x + 2x + 8 = 92

3x = 84

x = 28

Russia won 28 medals.

Which means China won 32 medals and the US won 36 medals.

Answer:

a) 148.52

Step-by-step explanation:

If sum of two angles is 180, then they are supplementary

Ratio = 10 : 47

Smaller angle = 10x

Larger angle = 47x

10x + 47x = 180

57x = 180

Divide  both sides by 57

x = 180/57

x = 3.16

Larger angle = 47x = 47 * 3.16 = 148.52

Answer:

Step-by-step explanation:

Use the formula

[tex]A(t)=P(1+r)^t[/tex] where P is the initial investment, r is the interest rate in decimal form, and t is the time in years. Filling in what we are given:

[tex]A(t)=5000(1+.05)^6[/tex] and simplifying a bit:

[tex]A(t)=5000(1.05)^6[/tex] and a bit more:

A(t) = 5000(1.340095641) so

A(t) = 6700.48

Answer:

The best estimated value of the expression is negative 3

Step-by-step explanation:

What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction

Solution

(34 / 8) - (16 / 3) - (14 / 9)

= 34/8 - 16/3 - 14/9

Find the sum

= 306 - 384 - 112 / 72

= -190 / 72

= -2 46 / 72

= -2 23 / 36

= -2.6389

Approximately -3

The best estimated value of the expression is negative 3

Answer:

The answer is -2 1/2,

Step-by-step explanation:

Answer:

[tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

Step 1: Put this into an equation

[tex]-\frac{5}{3} - x = \frac{5}{6}[/tex]

Step 2: Solve for x

[tex]-x = \frac{5}{6} + \frac{5}{3}[/tex]

[tex]-x = \frac{5}{2}[/tex]

[tex]x =- \frac{5}{2}[/tex]

Therefore you need to subtract [tex]-\frac{5}{2}[/tex] from [tex]-\frac{5}{3}[/tex] to get [tex]\frac{5}{6}[/tex]

Answer:i don’t know

Step-by-step explanation:I’m sorry dude I have no idea I tried doing it in the browser and I could not find an answer sorry

Answer:

A. 10.125 minutes

Step-by-step explanation:

A stopwatch measures time to the hundredth of a second. Which of the following quantities is not possible using this measurement tool?

A. 10.125 minutes

B. 10.125 seconds

C. 10.12 seconds

D. 10.1 seconds

The stopwatch measures time to the hundredth of a second.

Option A. Measures the time to thousandth of a minutes

Option B. Measures time to thousandth of a second

Option C measures time to hundredth of a second

Option C measures time to tenth of a second.

Option A. 10.125 minutes is the quantity which is not possible using the stopwatch because it is in MINUTES.

Option B 10.125 seconds can be rounded up to 10.13 seconds (hundredth of seconds).

Answer:

1/10 units ^3

Step-by-step explanation:

The formula for the volume is given by

V = Bh where B is the area of the base and h is the height

V = 3/20 units ^2 * 2/3 units

   = 3/20 * 2/3

  = 1/10 units ^3

Answer:

This is multiplicative identity in which 4✖️1=4

Step-by-step explanation:

Hope it will help you:)

Answer:

The unknown number is [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Let's make the unknown number x.

The sum of 5 TIMES a number (x) & 8 is 9.

Let's write it mathematically.

5x + 8 =9

We are trying to find the unknown number, so let's remove all the numbers from the left side to find x. Minus 8.

5x=1

5x is basically 5 times x, so to find x, we need to divide and from there we can remove 5.

x= [tex]\frac{1}{5}[/tex]

Answer:

60 miles per hour.

Step-by-step explanation:

420 miles in 7 hours is the same thing as (420 / 7) = 60 miles per hour.

Hope this helps!

Answer:

60 miles / hour

Step-by-step explanation:

The unit rate will be the number of miles in 1 hour. Therefore, we must divide the miles by the hours.

miles/hours

We know it is 420 miles in 7 hours.

420 miles / 7 hours

Divide 420 by 7

420/7=60

60 miles/ hour

The unit rate is 60 miles per hour.

Answer:

7474747448548

Step-by-step explanation:

I hope this helps

Answer:

5/3 x 5/3 x 5/3

125/27

5^3/3^3

3 x (5/3)

Step-by-step explanation:

(5/3)^3 = 5×5×5/3×3×3 = 125/27.

Answer:

sir Malcolm darling

Step-by-step explanation:

he has said Indian farmer is born in dept lives in dept and die in dept.

Answer:

1) The region between the four lines x = 6, x = 1, y = 4 and y = 10 describing both equations is a rectangle

2) The joint equations of diagonals are;

5·y = 56 - 6·x and 5·y = 6·x + 14.

Step-by-step explanation:

The equations are;

x² - 7·x + 6 = 0......................(1)

y² - 14·y + 40 = 0.................(2)

Factorizing equation (1) and equation (2) , we get

x² - 7·x + 6 = (x - 6)·(x - 1) = 0

Which are vertical lines at points x = 6 and x = 1

For equation (2) , we get

y² - 14·y + 40 = (y - 10)·(y - 4) = 0

Which are horizontal lines at point y = 4 and y = 10

The region between the four lines x = 6, x = 1, y = 4 and y = 10 describing both equations is a rectangle

2) The points of intersection of the equations are;

(1, 4), (1, 10), (6, 4), and (6, 10)

The end point of the diagonals are;

(1, 10), (6, 4) and  (1, 4), (6, 10)

The slope of the diagonals are;

(10 - 4)/(1 - 6) = -6/5 and (4 - 10)/(1 - 6) = 6/5

The equation of one of the diagonals are then, y - 10 = -6/5×(x - 1)

y = -6/5·x + 6/5 + 10 = -6/5·x + 56/5

5·y = 56 - 6·x

The other diagonal is therefore;

y - 4 = 6/5×(x - 1)

y = 6/5·x - 6/5 + 4 = 6/5·x + 14/5

5·y = 6·x + 14.

The joint equations of diagonals are therefore;

5·y = 56 - 6·x and 5·y = 6·x + 14.

Answer:

Step-by-step explanation:

[tex]P_{ABCD}=P_{ACD}+P_{ABD}[/tex]

We can use Heron's formula to calculate area of triangles:

[tex]P_\triangle=\sqrt{s(s-a)(s-b)(s-c)}[/tex]   where:

a, b, c  - sides of triangle

s  - semi-perimetr of triangle  {(a+b+c):2}

ΔACD:

a = 4.39 ,   b = 3.42  ,  c = 4.57

s = (4.39 + 3.42 + 4.57)÷2 = 12.38÷2 = 6.19

[tex]P_{ACD}=\sqrt{6.19(6.19-4.39)(6.19-3.42)(6.19-4.57)}\\\\P_{ACD}=\sqrt{6.19\cdot1.8\cdot2.77\cdot1.62}=\sqrt{49.9986108}=7.070969579...\\\\P_{ACD}\approx7.071[/tex]

ΔACD:

a = 5.44 ,   b = 7.84 ,   c = 3.42

s = (5.44 + 7.84 + 3.42)÷2 = 16.7÷2 = [tex]P_{ACD}=\sqrt{8.35(8.35-5.44)(8.35-7.84)(8.35-3.42)}\\\\P_{ACD}=\sqrt{8.35\cdot2.91\cdot0.51\cdot4,93}=\sqrt{61.09371855}=7.81624708...\\\\P_{ACD}\approx7.816[/tex]

[tex]P_{ABCD}=P_{ACD}+P_{ABD}\\\\P_{ABCD}\approx7.071+7.816 = 14.887\\\\P_{ABCD}\approx 14.89[/tex]

Step-by-step explanation:

it's ur answers I hope it's helpful

Answer:

To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).

Answer:

5 hours

Step-by-step explanation:

From the question, we are told that:

Time required to drive a fixed distance varies inversely as the Speed

T ∝ 1/S

k = proportionality constant hence,

T =k × 1/S

T = k/S

Step 1

Find k

It takes 2 hr at a speed of 200 km/h to drive a fixed distance

T = 2 hours, S = 200km/h

T = k/S

2 = k / 200

k = 2 × 200

k = 400

Step 2

How long will it take to drive the same distance at a speed of 80 km/h?

S = 80km/h

T = k/S

k = 400

T = 400/80

T = 5

Therefore, it takes 5 hours to drive the same distance at a speed of 80km/hr

Answer:

x + 14.7

Step-by-step explanation:

x + 6.2 + 8.5.

Combine like terms

x + 14.7

There are various charts which represents mathematical and statistical data with graphical representation.

The correct answer for the given question is ,

I - Chart

Since this chart is used to present data for continuous inspection.

The charts are used for representation of inspected data in to structure way which helps understand the changes easily.

I chart is usually used when there is continuous inspection for the data. This type of chart used to monitor the process when measuring data at regular intervals.

Learn more at https://brainly.com/question/24366019

Answer: It is a Rotation Angle 90 Degrees clockwise about the point (3,4)

Step-by-step explanation:

Mark the point (3,4) with your finger and turn your phone once to the right Your old shape is where your new shape your be now. That’s rotation.

Answer:

Step-by-step explanation:

C(3 , -2)   & D (7, -8)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]CD = \sqrt{(7-3)^{2}+(-8-(-2))^{2}}\\\\=\sqrt{(7-3)^{2}+(-8+2)^{2}}\\\\=\sqrt{(4)^{2}+(-6)^{2}}\\\\=\sqrt{16+36}\\\\=\sqrt{52}\\\\[/tex]

≈ 7.2 units

Answer:

We conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased.

Step-by-step explanation:

The complete question is: In a previous​ poll, ​46% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose​ that, in a more recent​ poll, 480 of 1081 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased? Use the [tex]\alpha[/tex] = 0.10 significance level.

Let p = population proportion of families with children under the age of 18 who eat dinner together seven nights a week.

So, Null Hypothesis, : p 46%      {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has increased or remains same}

Alternate Hypothesis, : p < 46%      {means that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased}

The test statistics that will be used here is One-sample z-test for proportions;

                             T.S.  =    ~  N(0,1)

where, [tex]\hat p[/tex] = sample proportion of families = [tex]\frac{480}{1081}[/tex] = 0.44

           n = sample of adults with children under the age of 18 = 1081

So, the test statistics =    

                                   =  -1.32

The value of z-statistics is -1.32.

Also, the P-value of the test statistics is given by;

                    P-value = P(Z < -1.32) = 1 - P(Z [tex]\leq[/tex] 1.32)

                                  = 1 - 0.9066 = 0.0934

Since the P-value of our test statistics is less than the level of significance as 0.0934 < 0.10, so we have sufficient evidence to reject our null hypothesis as the test statistics will fall in the rejection region.

Therefore, we conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has​ decreased.

Answer:

[tex]4x^2-21x-2[/tex]

Step-by-step explanation:

Given that:

Difference of two trinomials is [tex]x^2 - 10x + 2[/tex]

One of the two trinomials is  [tex]3x^2 - 11x - 4[/tex]

To find:

The other trinomial = ?

Four options are:

[tex]2x2 - x - 2 \\2x2 + x + 6 \\4x2 + 21x + 6\\ 4x2 - 21x - 2[/tex]

Solution:

Let the two trinomials be A and B.

Given A - B = [tex]x^2 - 10x + 2[/tex]

B = [tex]3x^2 - 11x - 4[/tex]

We have to find the other trinomial A.

A - B = [tex]x^2 - 10x + 2[/tex]

A - ([tex]3x^2 - 11x - 4[/tex]) = [tex]x^2 - 10x + 2[/tex]

[tex]\Rightarrow[/tex] A = [tex]x^2 - 10x + 2[/tex] + ([tex]3x^2 - 11x - 4[/tex])

[tex]\Rightarrow[/tex] A = [tex]4x^2-21x-2[/tex]

So, the correct answer is [tex]4x^2-21x-2[/tex].

Answer:

Option (C)

Step-by-step explanation:

This question is incomplete; here is the complete question.

Morris is showing his work in simplifying,

(-6.7 + 4.3) - 1.2

Step 1: (4.3 - 6.7) - 1.2

Step 2: 4.3 - (6.7 + 1.2)

Step 3: 4.3 - 7.9

Step 4: -3.6

Which statement is true ?

A). Step 1, Morris used the commutative property.

B). Step 2, Morris used the distributive property.

C). Step 3, Morris used the associative property.

D). Step 4, Morris's answer is incorrect.

In associative property,

a + (b + c) = (a + b) + c

By this property,

(-6.7 + 4.3) - 1.2

Step 1, (-6.7 + 4.3) - 1.2 = (4.3 - 6.7) - 1.2

Step 2, (4.3 - 6.7) - 1.2 = 4.3 - (6.7 + 1.2) [Use of associative property]

Step 3, 4.3 - 7.9

Step 4, -3.6

Answer: answer one is hard to read             Answer 2: 0.0020661157

Step-by-step explanation:

Answer:

1. 2.5% of 14000= 350

2. 27.5% of 1760= 484

Answer:

194.25meters

Step-by-step explanation:

The distance around the running track is calculated as:

Perimeter of the first semi circle + Perimeter of the second circle +50m + 50m

Semi circle has a length or diameter of = 30m

r = 30/2 = 15m

Perimeter of a circle = 2πr

Hence for a semi circle = 2πr/2 = πr

Perimeter of the first semi circle = π × 15

= 47.123889804m

Perimeter of the second semi circle is the same hence,

π × 15 = 47.123889804m

The distance around the running track

= 47.123889804m + 47.123889804m + 50m + 50m

= 194.24777961m

Approximately= 194.25meters.