On the number line -32/5 lies between

9514 1404 393

Answer:

  (c)  fold it so R lies on top of S

Step-by-step explanation:

The crease will be the perpendicular bisector of RS when R and S are equidistant from it. That can be accomplished by folding the paper so points R and S lie on top of each other.

Step-by-step explanation:

a)

[tex] \frac{1 + \sin y}{ \cos y} + \frac{ \cos y}{1 + \sin y} = \frac{1 + 2 \sin y + \sin^{2} y + \cos ^{2} y}{ \cos y(1 + \sin y)} [/tex]

[tex] = \frac{2 + 2 \sin y}{ \cos y (1+ \sin y)} = \frac{2}{ \cos y} = 2 \sec y[/tex]

b)

[tex] \frac{ \cot x}{ \tan x + \cot x} = \frac{ \cos x}{ \sin x( \frac{ \sin x}{ \cos x} + \frac{ \cos x}{ \sin x} )} [/tex]

[tex] = \frac{ \cos x}{ \frac{ \sin^{2} }{ \cos x} + \cos x } = \frac{ \cos x}{ \frac{ \sin ^{2} x + \cos^{2} x}{ \cos x} } [/tex]

[tex] = \cos ^{2} x[/tex]

c) Note that cscx = 1/sinx so

[tex] \csc^{2} \theta \tan^{2} \theta - 1= \frac{1}{ \cos^{2} \theta } - 1[/tex]

[tex] = \frac{1 - \cos^{2} \theta }{ \cos \theta} = \frac{ \sin^{2} \theta}{ \cos ^{2} \theta } = \tan^{2} \theta[/tex]

Answer:

a ) Upper bound of CI  is 7803483.87

b) The new upper bound is  8039767.74

Step-by-step explanation:

From sample data:

sample size    n  =  60

sample mean  x = 7500000

Sample standard deviation   s  =  1200000

a) Confidence Interval 95 %  then  significance level  α = 5 % o  α = 0.05

α/2 = 0.025     z(c) from z-table is  z(c) = 1.96

CI  95 % =  (   x  ±  z(c) * s/√n

CI  95 % =  (  7500000  ±  1.96 * 1200000/√60

CI  95 % =  (  7500000  ±  303483.87 )

CI  95 % =  ( 7196516.13  ;  7803483.87)

Then upper bound of CI  is 7803483.87

b) The company has to decrease the significance level equivalent to widen the confidence interval.

If CI now is   99.95 %    significance level is α = 0.0005 and

α/2 = 0.00025     z(c) for that α/2    is from z-table  z(c) ≈ 3.486

CI 99.95 %  = ( x ±  z(c)*s/√n

CI 99.95 %  =  7500000 ±  3.486*1200000/ √60

CI 99.95 %  =  (7500000 ±539767.74)

CI 99.95 %  = ( 6960232.26 ; 8039767.74)

The new upper bound is  8039767.74

Answer:76

Step-by-step explanation:

Answer:

13

HOPE THIS HELPS YOU......

Answer:

-1

Step-by-step explanation:

f(0) = -5^0 = -1

Step-by-step explanation:

the answer is in the above image

use the app

WOLFRAM ALPHA it helps a lot

Answer:

[tex] \frac{1}{ 2^{1} } + \frac{1}{ {3}^{2} } + \frac{1}{ {4}^{3} } + \frac{1}{ {5}^{4} } + ... \\ \frac{1}{2} + \frac{1}{9} + \frac{1}{64} + \frac{1}{625} + ... \\ = \frac{226201}{360000} \\ = 0.6283..[/tex]

Answer:

Step-by-step explanation:

[tex]16^{\frac{24}{64}} =16^{\frac{4*2*3}{4*2*8}}\\\\=(2^{4})^{\frac{3}{8}}\\\\=2^{4*\frac{3}{8}}\\\\=2^{\frac{3}{2}}=2^{3*\frac{1}{2}}\\\\=\sqrt{2*2*2}\\\\=2\sqrt{2}[/tex]

Answer: Approximately 9.43 meters

The more accurate version is 9.4339811320566 but that's not exact.

This is exact magnitude is sqrt(89)

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

Explanation:

Let's draw an xy grid for this. Place the starting point at (0,0) which I'll call point A. Now let's say the mouse goes east 15 meters. That would move it to (15,0) which is marked as point B. Refer to the diagram below.

From point B, we move to C which is at (15,8). So the mouse has gone 8 meters north. It might help to turn the page so that the east direction is facing completely north, and then look to the left and you'll see "north". In other words, each 90 degree left turn is a 90 degree counterclockwise turn.

After doing another 90 degree counterclockwise turn, the mouse will move 10 meters westward. It moves from C(15,8) to D(5,8). Point D is the final position of the mouse.

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

A(0,0) was the initial position and D(5,8) is the final position

The vector v is

v = <5,8>

This is because we basically are saying "the mouse ultimately moved 5 meters east and 8 meters north" when going from start to finish. We're ignoring the intermediate stops along the way.

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

Recall that for any vector of the form

v = <a,b>

the magnitude of that vector is

|v| = sqrt(a^2+b^2)

this is the length of the vector based on the pythagorean theorem.

Applying this formula gets us

|v| = sqrt(5^2+8^2)

|v| = sqrt(89)

|v| = 9.43398 approximate

This represents the straight line distance from start to finish, where we ignore any intermediate stops. So this isn't the distance the mouse travels (since it goes from A to B, to C to D). Instead, it's the distance it would travel if it wanted to take the shortest path from A to D.

Answer:

Step-by-step explanation:

9.4 for acellus

Answer: 4145.43

Have a great day! ;)

Answer:

110°

Step-by-step explanation:

4x+10 + (3x-5) = 180

7x + 5 = 180

7x = 175

x = 25

∠2 = 4(25) + 10 = 110

The measure of angle 2 in degrees, when both lines are perpendicular, is approximately 58.56 degrees.

To find the measure of angle 2 when the lines are perpendicular, we can set up an equation. Since the angles are formed by perpendicular lines, we know that the sum of angle 2 and angle 3 will be equal to 90 degrees. Mathematically, we can write this as:

(4x + 10) + (3x - 5) = 90

Now, let's solve the equation to find the value of x. First, combine like terms:

4x + 3x + 10 - 5 = 90

7x + 5 = 90

Next, isolate x by subtracting 5 from both sides:

7x = 85

Finally, divide by 7 to solve for x:

x = 85 / 7 ≈ 12.14

Now that we have the value of x, we can find the measure of angle 2 by substituting x back into its expression:

Angle 2 = 4x + 10

Angle 2 = 4(12.14) + 10

Angle 2 ≈ 48.56 + 10

Angle 2 ≈ 58.56 degrees

To know more about angle here

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the answer is 8 apples were rotten

Answer:

8 apples are rotten.

Step-by-step explanation:

2*12=24 . There are 12 apples in a dozen.

24/3=8

Answer:

I think its

im not sure

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

fistly find how much different

3-1=2 5-3=2 7-5=2

so for the next and next value just plus two until the 19th then you will get 37

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

Explanation:

a = 1 is the first term

d = 2 is the common difference, since we add 2 to each term to get the next term.

The nth term is a+d(n-1) which becomes 1+2(n-1). That simplifies to 2n-1

The last step is to plug in n = 19 and you should get 2(19)-1 = 37

Answer:

999999.9>repeating

Step-by-step explanation:

.1 more and it will be 7 digits and not 6 Hope this helps :D

9514 1404 393

Answer:

  444444₅ = 15624₁₀

Step-by-step explanation:

It will be 1 less than the smallest 7-digit base-5 number. That number is 5^6 = 15625, so the largest 6-digit base 5 number is 15624 in decimal. In base 5, it is 6 of the largest base-5 digits:

  444444₅ = 15624₁₀

__

The digits of the number cannot be any larger than the largest base-5 digit. The base-5 digits are 0 to 4, so the largest is 4.

Answer:

56%

Step-by-step explanation:

because of the 56% it had to be true to be in the question at all.

Answer:

2/3 feet.

Step-by-step explanation:

The formula for finding the area of a triangle is  A = (B x H)/2. Or, area is equal to base times height, all divided by two. In your case, we don't know the base. If we substitute in values, we get 2/5 = (B x 6/5)/2.

Next, we have to multiply both sides by two, to cancel the "/2." That results in 4/5 = B x 6/5. Then, to isolate the variable, we have to divide both sides by 6/5. 4/5 ÷ 6/5 is 4/5 x 5/6. The fives cancel out, and we are left with 4/6.

Finally, we simplify! 4/6 simplifies to 2/3.

Answer:

-1

Step-by-step explanation:

See Image below:)

Answer:

-1

Step-by-step explanation:

Answer:

4,2 is tge answer due to the interaction point plus it says the solution is at the interaction.

Answer:

C. I think

Step-by-step explanation:

Answer:  6x - 7y = 21

Step-by-step explanation:

sorry if its wrong

Answer:

4.

Step-by-step explanation:

The orientation of the shape is the same  4 times during 360 degree turn.

Answer:

4

Step-by-step explanation:

Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.

Answer:

4.88

Step-by-step explanation:

That may be the question

From the graph,

g(2) = 4 ( from the coordinate (2,4))

[ The green line represent the function g(x)]

f(2)= 0

[ The red line represent the function f(x)]

(g + ƒ)(2) = g(2)+f(2) = 4+0 = 4

OPTION A is the correct answer

Answer:

x = 60 degree

Step-by-step explanation:

90 + 90 + 2x - 10 + 2x + 2x + 10 = 540 degree (sum of 5 interior angles)

180 + 6x = 540

6x = 540 - 180

x = 360/6

x = 60 degree

Answer:

V = 678.24 cm^3

Step-by-step explanation:

Formula for volume of a cylinder:

the radius is half of the diameter (12/2 = 6)

[tex]V = \pi r^{2} h\\V = \pi 6^{2} 6\\\\V = 678.24[/tex] cm^3

Answer:

678.24 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V  = pi r^2 h  where r is the radius and h is the height

We know the diameter

r =d/2 =  12/2 = 6

V = 3.14 * 6^2 * 6

678.24 cm^3

Answer:

that's my answer

hope it helps

In the function f(x) = log2(x + 3)), the smallest average rate of change in the  function is in the interval,  (6,8)

The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.

Formulae for logarithmic function are,

LogAB = LogA + LogB

Logₐaᵇ = b

Given that,

A logarithmic function,

f(x) = = log2(x + 3)

Rate of change = Change in values of function/change in x

                          =  [F(b) - F(a)]/ b-a

For the interval, (0, 2)

f(0) = Log2(0 + 3)  = Log(6)

f(2) = Log2(2 + 3)  = Log(10)

Rate of change =   Log(10) -  Log(6) /2

                          =  0.11

Similarly, for the intervals,    (4, 6),   (2, 4),   (6,8)

Hence, the smallest average rate is for the interval, (6, 8)

To know more about Logarithmic function check:

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9514 1404 393

Answer:

Step-by-step explanation:

The rhombus has several relevant properties.

The last of these relations can be used to find x:

  7x° = 35°

  x = 35°/7° = 5

The second of the relations can be used to find y:

  3y° = 90°

  y = 90°/3° = 30

The first of the relations can be used to find z:

  10z -8 = 5z +32

  5z = 40 . . . . . . . . . add 8-5z

  z = 40/5 = 8

Answer:

do 24 divide 3

then 24-4

have maria debate if she wants large quantities of hot dogs or cokes