A relatively prime date is a date for which the number of the month and the number of the day are relatively prime. For example, June 17 is a relatively prime date because the greatest common factor of 6 and 17 is 1. How many relatively prime dates are in the month with the fewest relatively prime dates

Answers

Answer 1

There are 11 prime dates in it.

The prime numbers between 1 and 30 are 1, 2,3,5,7,11,13,17,19,23,29

Relative prime:

Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Hence There are 11 prime dates in the month of June.

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Answer 2

Answer: 10

Step-by-step explanation:

Since exactly 1 in every $n$ consecutive dates is divisible by $n$, the month with the fewest relatively prime days is the month with the greatest number of distinct small prime divisors. This reasoning gives us June ($6=2\cdot3$) and December ($12=2^2\cdot3$). December, however, has one more relatively prime day, namely December 31, than does June, which has only 30 days. Therefore, June has the fewest relatively prime days. To count how many relatively prime days June has, we must count the number of days that are divisible neither by 2 nor by 3. Out of its 30 days, $\frac{30}{2}=15$ are divisible by 2 and $\frac{30}{3}=10$ are divisible by 3. We are double counting the number of days that are divisible by 6, $\frac{30}{6}=5$ days. Thus, June has $30-(15+10-5)=30-20=\boxed{10}$ relatively prime days.


Related Questions

Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. An article reported that for a sample of 20 (newly deceased) adults, the mean failure strain (%) was 26.0, and the standard deviation was 3.4. (a) Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. (Use a 95% confidence interval. Round your answers to two decimal places.)

Answers

The true average strain in a way that conveys information about precision and reliability is 27.314.

Given that sample size is 20, mean is 26%, standard deviation is 3.4, confidence level is 95%.

We have to calculate the true average strain in a way that conveys information about precision and reliability.

We have to use t test in our problem because sample size is less than 30.

Weknow that,

t=x bar-μ/s[tex]\sqrt{n}[/tex]

where μ is sample mean,

s is sample standard deviation.

Degree of freedom=n-1

=20-1

=19

T value at 95% confidence interval=1.7281

put the values in the formula of t given above.

1.7291=x bar-26/3.4/[tex]\sqrt{20}[/tex]

1.7291=xbar-26/3.4/4.47

1.7291= x bar-26/0.76

1.7291*0.76=x bar-26

1.314=x bar-26

x bar=26+1.314

x bar=27.314

After rounding it will be 27.31

Hence the true average strain in a way that conveys information about precision and reliability is 27.31%.

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If f(x)=2x-6, which of these is the inverse of f(x)?
○ A. f-¹(x) = 1 +6
X-6
○ B. f-¹(x) = x=6
2
○ C. f-¹(x) = X+6
2
○ D. f¹(x) = -6

Answers

Answer:

f-¹(x) = (x + 6)/2

Step-by-step explanation:

Replace f(x) with y.

y = 2x – 6

Interchange x and y.

x = 2y – 6

Solve for y.

y = (x + 6)/2

Replace y with  f-¹(x)

f-¹(x) = (x + 6)/2

if 3n+2 is an odd number which of the following is an even number
A. 3n
B. 3n + 4
C. 3n + 3
D. (3n)²​

Answers

Answer: 3n+3

Step-by-step explanation:

Adding 1 to an odd number results in an even number.

There are 5,280 feet in a mile. Gary walked 220 feet to the bus stop, and the bus took him a quarter of a mile to school. What is the ratio of his distance walking to.the distance he rode the bus

Answers

The ratio of distance travelled by walking to distance travelled by bus is 1 : 6.

What is ratio?

When two quantities of the same units are compared, the ratio is what shows how much of one quantity is included in the other.

Total no. of Feet in a Mile = 5280

Distance Gary walked to the bus stop = 220 feet

Distance travelled by bus = 1/4 mile = (1 / 4)*5280 = 1320 feet

Ratio of distance walking to distance by bus = 220 / 1320 = 1 : 6

Hence, the ratio of distance travelled by walking to distance travelled by bus is 1 : 6.

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Identify the scale of measurement for the following variable: The weight of a group of dieters. Group of answer choices nominal ratio ordinal interval

Answers

Ratio scale of measurement for the following variable, The weight of a group of dieters.

What scale of measurement is the variable of weight?

Ratio measurement scale of ratio variables include height, weight, and distance. The ratio scale allows for the addition, subtraction, division, and multiplication of data. Additionally, ratio scales have a "real zero," which sets them apart from interval scales. The ratio scale is used to determine weight. The ratio is identical to the interval scale, with the exception that 0 on the scale denotes the absence of anything. serval scales can depict values lower than zero and do not hold a true zero. For instance, you can gauge temperatures as low as -10 degrees Celsius. Contrarily, ratio variables are always greater than zero. Height and weight are measured starting at 0 and never below it. Because they are numbers as we typically think of them, ratio scales are the simplest to comprehend. On a ratio scale, the distance between consecutive numbers is equal, and a score of zero indicates that there is no presence of the thing being measured. The majority of ratio scales are counts of items.

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Help with this!! Thank you

Answers

Answer:

Step-by-step explanation:

1)  The equation of circle  having center at origin:

       x² + y² = r²

Where 'r' is the radius.

diameter = 36

r = 36 ÷ 2 = 18

  Equation of circle :

      x² + y² = 18²

       x² + y² = 324

Option d.

2) Find the discriminant D.

 If  D > 0, then the quadratic equation has two distinct real roots.

  If  D= 0, then the quadratic equation has two identical real roots.

  If  D < 0, then the quadratic equation has no real roots.

  D = b² - 4ac

 x² - 6x + 9 = 0

a = 1  ; b = -6 ; c = 9

D = (-6)² - 4*1*9

  = 36 - 36

D = 0

As D = 0, the quadratic equation has two identical real roots

Option a.

3) The axis of symmetry of a parabola is the vertical line passing through the vertex. It will be middle of the x-intercepts.

X- intercepts are -8 , 2

 ( -8 + 2 ) ÷ 2 = -6 ÷ 2  =  -3

x = - 3

Option d.

in this triangle, cosA/cosB =
AB = 4.24
BC= 3
AC = 3
<C 90deg.​

Answers

Answer:

1

Step-by-step explanation:

[tex]\cos A=\frac{3}{4.24} \\ \\ \cos B=\frac{3}{4.24} \\ \\ \frac{\cos A}{\cos B}=1[/tex]

PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.

Answers

The surface area of the composite figure is 524 square meters

Surface area of a figure

The given composite figure is made up of a triangular prism and a rectangular prism. The surface area of the figure is given as:

Surface area = 2(16*5+5*4+16*4) + (16*6) + 2(50)

Take the sum

Surface area = 2(80+20+64) + 96 + 100

Surface area = 2(164) +196

Surface area = 328 + 196

Surface area = 524 square meters

Hence the surface area of the composite figure is 524 square meters

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A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the balloon increasing when the radius is 1 ft

Answers

When an spherical balloon volume is increasing at the rate of [tex]3ft^3/min[/tex] then the diameter of the balloon is increasing [tex]\frac{3}{2\pi }ft /min[/tex]

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is [tex]v=\frac{4}{3} \pi r^3[/tex]

In form of diameter we can write as

[tex]v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3[/tex]

Now we will differentiate both sides wrt to [tex]t[/tex] we get

[tex]\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft[/tex]

Given in the question [tex]\frac{dv}{dt} =3ft^3/min[/tex]

thus when we substitute the values we get

[tex]\frac{dD}{dt} =\frac{2}{\pi *2^2} (3)\\\frac{dD}{dt}=\frac{3}{2\pi } ft/min[/tex]

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What is the equation of a circle whose center at (-5, -2) and radius is 2?​

Answers

The equation of a circle whose centre ([tex]-5,-2[/tex]) and radius [tex]2[/tex] is [tex]x^{2}+y^{2}+10x+4y+25=0[/tex]

What is equation of a circle?

A circle is a closed curve drawn from a fixed point called centre of the circle. The distance between the centre of the circle and the arc of the circle is called the radius of the circle.

The equation of a circle with centre [tex](h, k)[/tex] radius [tex]r[/tex] is

[tex](x-h)^{2} +(y-k)^{2}=r^{2}[/tex]

Given center = [tex](-5,-2)[/tex]  and Radius = [tex]2[/tex]

Put the Given value in the equation:

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

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

= [tex](x^{2} +10x+25)+(y^{2}+4y+4)= 4[/tex]

= [tex]x^{2} +y^{2}+10x+ 4y+ 29 = 4[/tex]

= [tex]x^{2} +y^{2}+10x +4y+ 29-4=0[/tex]

= [tex]x^{2} +y^{2}+10x+4y+25=0[/tex]

So, the equation of the circle whose centre is [tex](-5,-2)[/tex] and Radius [tex]2[/tex] is

[tex]x^{2}+y^{2}+10x+4y+25=0[/tex]

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Sonji bought a combination lock that opens with four-digit number created using the digits 0 through 9. The same
digit cannot be used more than once in the combination.
If Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be
chosen?
O 84
• 504
• 3,024
• 60,480

Answers

Answer:

Step-by-step explanation:

This is what I am thinking.   - ,- ,- , -  I number goes in each space.  There are 10 numbers to choose from and I cannot use a digit more than once.  I only have 1 choice for last slot and that is the number 7.  I have 9 numbers left .  I could put any one of the 9 numbers in the first spot, then there are only 8 numbers to choose from, so I will put 8 in the second spot.  I now have only 7 numbers that are left for the third spot.

If I multiple this together 9x8x7x1 = 504

help me w this pls thanks

Answers

Answer:

Perimeter: 4+[tex]\pi \\[/tex] mm

Area: [tex]\pi[/tex] mm^2

Step-by-step explanation:

Perimeter:

90/360 * 4[tex]\pi \\[/tex] +2 + 2 = 4+ [tex]\pi \\[/tex]

Area:

90/360 * 4[tex]\pi[/tex] = [tex]\pi[/tex]

Answer: 7.14 mm and 3.14 mm²

Step-by-step explanation:

The perimeter of a figure is the total length on the outside of the figure. A regular circle has a perimeter of [tex]2\pi r[/tex], where r is the radius and [tex]\pi[/tex] is an irrational constant, approximately 3.14.

Due to the right angle, we know that this is a quarter circle, as it is a quarter of 360°, or a full circle. Hence, the curved portion of the quarter circle is [tex]\frac{1}{4}* 2\pi r[/tex] or [tex]\frac{1}{2} \pi r[/tex]. The radius is 2 mm, so this value is

[tex]\frac{1}{2} \pi*2=\pi[/tex]

However, this isn't the total perimeter, as there are straight edges in the figure too. Both edges are radii of the whole circle, so both would be 2mm. Their total is

[tex]2+2=4[/tex]

By adding [tex]\pi[/tex] to 4 we get [tex]\pi +4[/tex] or 7.14 mm.

The  area is the total space enclosed by a figure. The total area of a whole circle is [tex]\pi r^2[/tex], where r is still the radius. Since this is a quarter circle, it would take up a quarter of the area, or [tex]\frac{1}{4} \pi r^2[/tex]. We can plug in 2 for r and solve to get the area.

[tex]\frac{1}{4}\pi*2^2\\\frac{1}{4}\pi*4\\\pi[/tex]

Hence, the area is [tex]\pi[/tex], or around 3.14 mm².


The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of
the object.
Solve the formula for v

Answers

The formula for the velocity, v is √2E/m

What is kinetic energy?

Kinetic energy is half the mass multiplied by the square of the speed of the object

It is written thus;

Kinetic energy = 1/ 2 × m × v²

To solve for 'v' mean that we should make 'v' the subject of formula

E = 1/ 2 mv²

E = [tex]\frac{mv^2}{2}[/tex]

cross multiply

[tex]2E = mv^2[/tex]

To make 'v' the subject, we have

[tex]v = \sqrt{\frac{2E}{m} }[/tex]

Thus, the formula for the velocity, v is √2E/m

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A 4-column table with 3 rows. The first column has no label with entries students, teachers, total. The second column is labeled wear glasses with entries 32, 4, 36. The third column is labeled do not wear glasses with entries 97, 2, 99. The fourth column is labeled total with entries 129, 6, 135.
Which statements are correct about the two-way frequency table? Check all that apply.

Answers

The correct statements about the two-way frequency table are:

Option C, and Option E.

According to the statement

we have to check that the given statement is applicable or not on the given conditions.

So, For this purpose

The two-way frequency table is

In Mathematics and statistics, A two-way frequency table is a tabular method for displaying relative data for two categories of variables. (See the attached).

the given options are:

Option A the row categories are "wears glasses"

Option B and "do not wear glasses."

Option C two teachers do not wear glasses.

Option D thirty-six students wear glasses.

Option E a total of 6 teachers were polled.

So, The correct statements about the two-way frequency table are:

Option C, and Option E.

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Answer: the corret answer is A, C and E

The numerator in the fixed asset turnover ratio is:_______

Answers

The numerator in the fixed asset turnover ratio is sales.

To determine the fixed Asset Turnover ratio, the subsequent components are used: fixed Asset Turnover = sales / common fixed property.

The fixed asset turnover ratio exhibits how green an employer is at generating sales from its current fixed assets. A higher ratio implies that control is the usage of its fixed property extra efficiently.

Within the retail region, an asset turnover ratio of 2.5 or greater can be considered good, even as a business enterprise in the software region is much more likely to intention an asset turnover ratio it is among zero.25 and 0.5.

We can now calculate the constant asset turnover ratio by dividing the internet revenue for the yr through the average constant asset balance, which is equal to the sum of the modern-day and earlier duration balance divided through two.

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PLEASE HELP HURRYYYYY

Answers

Answer:

See below

Step-by-step explanation:

Looks like positive linear to me....slope is up and to the right (positive) and the line drawn shows it ot be approx linear

PLEASE I NEED HELP SO BADLY

Answers

Answer:

[tex]3y^{2} -3y-5[/tex]

Write the standard form of the equation of the line trough the given point with the given slope.

Answers

Step-by-step explanation:

we use the point-slope approach :

y - y1 = m(x - x1)

m is the slope, and (x1, y1) is a point on the line.

so,

1.

y - 2 = 7(x - 1) = 7x - 7

y = 7x - 5

2.

y - -1 = -1×(x - 3) = -x + 3

y + 1 = -x + 3

y = -x + 2

3.

y - 5 = -4(x - -2) = -4x - 8 (3x a "-" is a "-" for 8)

y = -4x - 3

4.

y - 5 = 5/3 × (x - 3) = 5x/3 - 5

y = 5x/3 or 5/3 × x

Answer:

1. [tex]7x-y=5[/tex]

2. [tex]x+y=2[/tex]

3. [tex]4x+y=-3[/tex]

4. [tex]5x-3y=0[/tex]

Step-by-step explanation:

Since we already know the slope and the coordinates of one point, first use the point-slope form to create an equation.

[tex]y-k=m(x-h)[/tex]

[tex]y-2=7(x-1)[/tex]

[tex]y-2=7x-7[/tex]

[tex]7x-y=5[/tex]

[tex]y+1=-1(x-3)[/tex]

[tex]y+1=-x+3[/tex]

[tex]x+y=2[/tex]

[tex]y-5=-4(x+2)[/tex]

[tex]y-5=-4x-8[/tex]

[tex]4x+y=-3[/tex]

[tex]y-5=\frac{5}{3} (x-3)[/tex]

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

[tex]3y-15=5x-15[/tex]

[tex]5x-3y=0[/tex]

The padlock for your gym locker uses a 3 number sequence to open the lock. If
the numbers go from 1 to 22, how many different sequences are there on the dial
without repeating a number?

Answers

Answer:

9,240

Step-by-step explanation:

For the first number, there are 22 numbers available to choose from. For the second number, there are 21 numbers available, since the first number cannot be the same as the second number. And for the last number, there are 20 remaining numbers to choose from. So, there are 22*21*20=9240 possible sequences.

rewrite each expression without using absolute value notation |x-y| if x>y

Answers

Answer: x-y

Step-by-step explanation:

If x>y, then [tex]x-y > 0[/tex].

So, [tex]|x-y|=x-y[/tex]

The solution of the expression  |x-y| if x>y without using absolute value notation is  (x - y).

A collection of constants, variables or numbers connected using one or more arithmetic operator is called an expression

Example = 4y, 3x+4

The absolute value of any number or expression is always positive.

An expression that is either less than or greater than is called as inequality.

Given expression,  |x-y| and the given inequality is x>y.

When x is greater than y, the difference between x and y is already positive.

So, the expression will be (x-y).

So, if x > y, then |x - y| = (x - y).

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Hi! I need help on this khan academy equation. If you can, please explain how to do other problems like this too. ): Thank you if you answer <3

Answers

Answer:

C

Step-by-step explanation:

x + 2y = 6

isolate x through

x = 6-2y . . . (iii)

Substitute equation (iii) in equation (i)

7x - y = 7

7(6 - 2y) - y = 7

42 - 14y - y = 7

42 - 15y = 7

Collecting Like terms

-15y = 7 - 42

-15y = -35

-15y = -35

-15 -15

y = 7

3

y =

[tex]2\frac{1}{3} [/tex]

Substitute y in equation (iii)

x = 6 - 2y

x = 6 - 2 × 7

3

x = 6 - 14

3

x =

[tex]1\frac{2}{3} [/tex]

Answer:

c is the right answer

Step-by-step explanation:

Brett had 3/4 of a family sized pizza. he gave each of his brothers half of this. what fraction of the pizza was each brother given?

Answers

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] * [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{8}[/tex]

HELP ASAP

You work at a canning factory that's producing cans for a new brand of soup. You need to decide what size the cans should be. The soup cans can have a radius of either 2 in, 2.5 in, 3 in, or 3.5 in. The cans need to hold a volume of exactly 90 in3. The company wants the cans to be no more than 5 inches tall, and it wants the cans to have the greatest lateral surface area possible so it can print more information on the side of the cans.

To solve this problem, you will fill in this table with the surface area and volume of each cylinder:

a. First, calculate the height each can must be, given the radius and volume.

b. Now calculate the lateral surface area for each possible can.

c. Based on the requirements for the can, which can should you make?

Answers

Answer:

The answers are in the image

Step-by-step explanation:

The solution is in the attached image

the diffrence of 3-7p^2+11(4+n)

Answers

The expression 3 - 7p² + 11(4 + n) to find an example of each kind of expression is;

The first value is a number, 3 = constantThe second value, -7p² = factorThe third value, 11(4 + n) = binomial and monomial values

Expression

3 - 7p² + 11(4 + n)

The expression has 3 parts

3-7p²11(4 + n)

3 - 7p² + 11(4 + n)

= 3 - 7p² + 44 + 11n

= 47 + 7p² + 11n

Complete question:

Use the expression 3 — 7p2 + 11(4 + n ) to find an example of each kind of expression

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write 75 as a product of prime use index notation when giving your answer

Answers

The prime factorization of 75 is 3 × 5 × 5 or 3 x 52.

Please help me! due today:(

Answers

Step-by-step explanation:

(π * r²) will give you are of entire circle

the multiply by 60/360 , to give the shaded part

Answer:

A ≈ 25.7 cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{60}{360}[/tex]

   = π × 7² × [tex]\frac{1}{6}[/tex]

   = [tex]\frac{49\pi }{6}[/tex]

   ≈ 25.7 cm² ( to the nearest tenth )

An urn contains 11 balls, 3 white, 3 red, and 5 blue balls. Take out two balls at random, without replacement. You win $1 for each red ball you select and lose a $1 for each white ball you select. Let X be the random variable that notes the amount you win. Find the probability mass function (pmf) of X.

Answers

Let X be the number of times you win.

The total number of ways to select 2 balls (order does not matter) =>

The number of ways so that two balls are white:

= 3/55

The number of ways so that two balls are red:

= 3/55

The number of ways so that one ball is red, one is white:

= 9

The number of ways so that two balls are blue:

= 10

i.e. p = 10+9/55 = 19/55

The number of ways so that one ball is blue, one is white:

p = 15/55 = 3/11

The number of ways so that one ball is blue, one is red:

15/55 = 3/11

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A wall is in the shape of a trapezoid. The lengths of the parallel bases are 8 feet and 20 feet. The height of the room is 8 feet. How much paint is needed to cover the wall? 80 ft2 112 ft2 160 ft2 224 ft2

Answers

The amount of paint needed to cover the wall is 112 square feet

How to determine the amount of paint?

The given parameters are:

Parallel bases = 8 feet and 20 feet

Height = 8 feet

The area is calculated as:

Area = 0.5 * (Sum of parallel bases) * Height

So, we have;

Area = 0.5 * (8 + 20) * 8

Evaluate

Area = 112

Hence, the amount of paint needed to cover the wall is 112 square feet

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I need help someone with graphs

Answers

Answer:

B.) The graph of g(x) is shifted 4 units up

Step-by-step explanation:

In a linear function in slope-intercept form, b, or 4 in this case, represents the y-intercept which technically acts as a vertical shift

PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.

Answers

Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².

What is the Surface Area of the Composite Figure?

Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.

Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².

Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²

Area of the surface both share together = 2(16)(5) = 160 m²

Total surface area = 276 + 328 - 160 = 444 m².

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its sad when I help people because they cant do the same thing for me pls just for once answer this pls :((((((( Which philosopher do you agree with most? Why? Consider the following ordered data: 2 5 5 6 7 7 8 9 10 find Q3+1.5 What is the name of Japans northern island? PLEASE HELP MUST BE AT LEAST 5 SENTENCES PLEASE HELP DUE IN 5 MINS Which is not an effect of anorexia nervosaThey are cold all the time. They develop fuzzy patches of hair on their skinTheir heart slows downPurging (throwing up) describe different monetoy measure of poverty PLEASE HELP PLSS IM ON A TIME LIMIT!!! Which is true about Mitosis?Mitosis makes 4 new somatic body cells like heart cellsMitosis makes 2 new somatic body cellshke skin cellsMitosis makes 2 new sex cells like sperm 11.8. The graph below shows the price Joannasells tomatoes according to their weight.Write an equation for the graph.hHTomato Prices1210Price (in dollars)1212.Weight(in pounds)a. y = -x610b. y =12c.=d. y = x on analysis an ammonium salt of an alkanoic acid gave 60.5% C and 6.5% H if 0.309g of the salt yield 0.0313g of Nitrogen determine the empirical formula of the salt [ H = 1, C =12, N = 14, O= 16] TIME REMAIN57:44in parts of Central Asia,Using water sources for irrigation purposes has causedA. floodsB. droughtsC. corrosionD. desertificationPlease select the best answer from the choices providedB What is the measure of angle x round the nearest degree An allergy medicine is usually stored in a cabinet at room termperature where its molecules move around each other. Bymistake, an intern transferred energy into the medicine. After one hour, the intern found the medicine and noticed that itwas a liquid. How were the molecules moving when the intern found the medicine? Explain why the molecules weremoving this way after the intern transferred energy ito the medicine. Micah is saving money for his first car his parents gave him 250 for his birthday and each week he plans on putting $40 into his savings account Why do you think the police are straddled with the responsibility of dealing with individuals with mental health, or substance abuse issues? plz help ASAP!!!!!!!! Use the equation below to find the y, M=11, x=2 and B=5 What macromolecules would you find in Blazin' wings and celery? Select a word from the box which has a similar meaning to the word / phrase given within brackets and write it in the space provided. The first one is done for you. There are three extra words.luxurious, shallow, momentous, affordable, amenitites, destinations, tranquil, approximately, fringedSri Lanka offers one of the most beautiful beach (1) ........................................... (journeys' ends) in the world, with miles of powdery golden beaches that are (2) ...................................... (edged) with coconut palms. The southern beaches are sandier than the western ones and do not shelve deeply into the sea. The eastern and northern coastal beaches stretch from Arugam Bay up to Kuchchaveli (3) ........................................... (just about) 275km long. Pristine beaches, wide stretches of sand, miles of clear and (4) ........................................... (of little depth) water, and underwater coral gardens will always take one's breath away. The southern section of the east coast includes the (5) ........................................... (calm) and beautiful beaches of Passikudah and Kalkudah. Spending some time is (6) ........................................... (unforgettable) on such peaceful beaches.