A school has 14 rooms with 28 desks in each room. How many desks are in the school?

a. 11 year growth factor = 1 + (26/100) = 1.26

   1-year growth factor = (1.26)^1/11 = 1.0210

   Therefore,

    1-year growth percent = 1.0210 - 1 = 0.0210 %

     Answer: 2.10

b. 13-year decay factor = 1 - (39/100) = 0.61

   1-year decay factor = (0.61)1/13 = 0.9631

    Therefore,

    13-year decay factor = 1 - 0.9631 = 0.03686 = 3.68%

     Answer: 3.68

c. 5-year growth factor = 3

   1-year growth factor = (3) ^1/5 = 1.245

   Therefore,

   1-year growth factor = 1.2457 - 1 = 0.2457 = 2.45%

   Answer:2.45

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Answer:

You need more context.

Step-by-step explanation:

What percentage are we solving for?

The expression 8.61 x 10-1 in standard form is 0.861

The expression is given as

8.61 x 10-1

Rewrite the equation properly as follows

So, we have the following expression

8.61 x 10^-1

Express 10^-1 as 1/10

So, we have the following expression

8.61 x 1/10

Evaluate the products

So, we have the following expression

8.61/10

Evaluate the quotient

So, we have the following expression

0.861

Hence, the expression is 0.861

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The rate of change is represented by the slope of each club.

For Club A is 12.

For Club B we calculate using the formula

The value is 21.

For Club C we apply the same formula and use the poins shown in the graphic

For club D the slope is the value that is paid each month

which in this case is $20

According to this the greatest rate of chande is for Health Club B

The solution for the linear equation is a = -26/21, so the correct option is the first one counting from the top.

Here we have a mathematical statement that can be written as the following linear equation:

-a - 4/7= 2/3

To solve this for a, we just need to isolate a in one of the sides of the equation, so let's do taht.

-a - 4/7 = 2/3

a = -4/7 - 2/3

Now we need a common denominator in the right side, i will use 21.

a = -12/21 - 14/21 = -26/21

So the correct option is the first one.

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Question 6 asks us to determine the period of the function.

Looking at the height of the blade tip, it varies in a sinusoidal manner.

Thus, the period is the distance between successive same heights on the table.

The function takes 360 degrees to return to its same value. At angle zero, the height was 150ft and it was still 150 ft at 360 degrees.

Thus the period is 360 degrees.

Answer:

The answer is

[tex] {(5y - 9)}^{2} [/tex]

Step-by-step explanation:

factor

[tex] {(25y }^{2} - 90y + 81)[/tex]

get the GCF of 25,-90,81=1

get the square root of leading terms

[tex] \sqrt{25 {y }^{2} } = 5y \: and \: \sqrt{81} = 9[/tex]

the final answer is

[tex] {(5y -9) }^{2} [/tex]

The formula of mean deviation = [Σ |X – µ|]/N

What is mean deviation?

Mean deviation defined as a statistical measure that is used to calculate the average deviation from the mean value of the given data set.

The formula of mean deviation is  [Σ |X – µ|]/N

Here,

Σ represents the addition of values

X represents each value in the data set

µ represents the mean of the data set

N represents the number of data values.

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Answer:

3.24 years

Step-by-step explanation:

2 = e^it          Decimal interest = i    T = years     2 = double

T = 3.24 years   For ANY deposit amount to double

The sample space of the three children that the couple will have will be:

S = (BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG)

From the information given, the couple plans to have three children. there are eight possible arrangements of girls and boys.

Therefore, the sample space of the three children will be:

N(S) = 2³

= 2 × 2 × 2

= 8

The eight arrangements are illustrated above.

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Answer:

[-10, - 2]

Step-by-step explanation:

1

Solve the inequality: ly+ 61 - 4 <0

-10 ≤ and ≤-2

2 Express solution set in interval notation:

[-10, -2]

The simplified expression is -125.

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Write an equation which relates the figure number x to the number of tiles y​

x= increase a row of 4 per image

y = 1 + 4*x

Figures

1

y = 1 + 4*(1) = 5

2

y = 1 + 4*(2) = 11

3

y = 1 + 4*(3) = 13

__________________

Answer

The equation which relates the figure number x to the number of tiles y​ is

y = 1 + 4x

_

Can you see the updates?

Do you have any questions regarding the solution?

Answer:

yw:) have a good day :)

a) If the tank is full, using mathematical operations based on the 2004 Toyota Corolla, you will run 422.4 miles before running out of gas, according to Toyota's advert.

b) Using AAA's estimate, one could drive 381.4 miles before running out of gas.

c) Based on the AAA estimate, on a single tank of gas, you can predict that you will get 40.9 miles less.

The mathematical operations include subtraction, addition, division, and multiplication.

For our purpose, we have used the mathematical operations of multiplication and subtraction to determine the above values.

Claimed mileage per gallon, according to the Toyota advert = 32 miles

The number of gallons of gas in Toyota Corolla's full tank = 13.2 gallons.

AA fuel efficiency on 2004 Toyota Corolla = 28.9 mpg

a) Miles to run before running out of gas (Toyota advert) = 422.4 (32 x 13.2) miles

b) Miles to run before running out of gas (AAA rating) = 381.48 (28.9 x 13.2) miles

c) The difference in miles between (a) and (b) above = 40.92 (422.4 - 381.48) miles

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Answer:

Answer down below!

Step-by-step explanation:

Lets start off by finding a point we can start off at!

Since (2,0) lands perfectly on the number line, we can use that one!

From there, use the rise/run method to find your slope

We go up 2 and over -2

Thus our fraction is -2/2 BUT WE AREN'T DONE!

We can simplify this to be -1/1 or -1

Thus, our slope is -1

It's negative one, starting from the y intercept you're going down one right one and so on.

The height will be 18 inches and the scale is 1 inch = 6 inches.

1.5 inches is the width of a book picture shown on a website.

And the book's length, as displayed on the website, is 3 inches

The book's real width is 9 inches.

The book image's size is

6 inches to one inch

The book is actually three and six pages long.

The size of the real book is 18 inches long and 9 inches broad.

Hence the scale is 1 inch is equal to 6 inches and height is 18 inches.

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Jade give away 3/4 fraction of the cake.

If Mark has a container in the shape of a cube and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches

The shape of  the container is cube

He uses 64 cubes with side length of 1 inch to completely fill the container

The volume of cube with side length of 1 inches = [tex]a^{3}[/tex]

Where a is the side length of the cube

= [tex]1^{3}[/tex]

= 1 cubic inches

The volume of 64 cubes = 64×1

= 64 cubic inches

The volume of the container in cub shape = The volume of the 64 cubes with side length of 1 inches

[tex]a^{3}[/tex] = 64

a = 4 inches

Hence, if Mark has a container in the shape of a cube and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches

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In case whereby You launch a toy rocket from a height of 5 feet with the  height h, in feet of the rocket t seconds after taking off is given by the formula h = -3t2 + 14t + 5, then the value of t will be 4.67 secs.

The giving equation is h = -3t2 + 14t + 5

where the height h is been given as 5 feet, then we can substitute the value of the height they the expression can be simplified as

5 =  -3t^2 + 14t + 5

Then this equation can be re arranged as :

-3t^2 + 14t + 5 - 5=0

This can as well be expressed as

-3t^2 + 14t = 0

t(-3t + 14)= 0

Then t= 0 and -3t + 14=0

t=14/3 = 4.67 secs

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Option C, (x, y) - (-x, -y) is the rule which describes the transformation.

A rotation in geometry is a change of a shape that involves turning it by a given number of degrees around a certain point known as the center of rotation and is denoted as R(0,x), wherein x is an angle of rotation around a center point O.

Assume triangle ABC's subsequence to be (x, y) and the angle of rotation for rotating triangle ABC to A'B'C' to be 180° or -180° about the center of rotation (0,0).

That is under R(0,0),180°.

The image formed is (-x,-y).

The resulting picture will contain a triangle ABC in the first quadrant of the graph and a triangle A'B'C inside the third quadrant with the center of rotations (0,0).

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Answer: 6

Step-by-step explanation:

[tex]y=4(1)+2=6[/tex]

Answer:

  1,225,043

Step-by-step explanation:

You want the ratio of volumes of spheres 428 inches and 4 inches in diameter.

The volume of a sphere in terms of its diameter is ...

  V = (π/6)d³

The ratio of the volumes of the larger to smaller sphere is ...

  [tex]\dfrac{V_{large}}{V_{small}}=\dfrac{\pi/6\cdot428^3}{\pi/6\cdot4^3}=\left(\dfrac{428}{4}\right)^3=107^3=\boxed{1,\!225,\!043}[/tex]

The ratio of volumes is 1,225,043.

The ratio of the volume of the large sphere to the volume of the small sphere is 1225043:1

The following is the formula for finding the volume of a sphere:

V = [tex]\frac{4}{3} \pi r^3[/tex]

Now, the normal assumption is that we must use the formula to calculate the volume of both spheres in order to compare. However, observe that in comparing the volume of two different spheres, the only difference between them is the radius, thus we can compare the two spheres directly in this way:

[tex]\frac{(radius of sphere B)^3 }{(radius of sphere A)^3}[/tex]

So,

[tex](\frac{428}{4})^3[/tex]

[tex]107^3[/tex]:1

12,25,043:1.

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Answer:

25, 125, 3125, 78125, 1953125

Answer:

-1 ; 1/5 ; -1/25

Step-by-step explanation:

125 : (-5) = -25

-25 : (-5) = 5

5 : (-5) = -1

-1 : (-5) = 1/5

1/5 : (-5) = -1/25

Answer:

1. m∠P + m∠Q + m∠R = 180°

2. x = 10

Step-by-step explanation:

By the triangle sum theorem, the sum of the angles in a triangle is 180°. Therefore, using the given sum theorem, m∠P + m∠Q + m∠R = 180°. Using the substitution property, (5x)° + (5x)° + (8x)° = 180°. Simplifying the equation gets 18x = 180°. Finally, using the division property of equality, x = 10.

I hope this helps!

The point-slope form of equation of the line perpendicular to the line y = 5x + 6 nd passing through (-3,3) is x + 5y = 12.

If two lines are perpendicular to each other, then the product of slopes of these two lines is equal to -1.

The provided line is y = 5x + 6,

The slope M₁ of the line is equal to the coefficient of x,

M₁ = 5

Let the slope of the perpendicular line is M₂,

So, we can write,

M₁M₂ = -1

M₂ = -1/5.

Now, we can use the point slope form of the equation of line, according to which is if line passes through (a,b) and have slope m then the equation of the line will be,

(y-a) = m(x-a)

This form of line is called Point-slope form of line.

Then, the equation of the line with slope -1/5 and passing through (-3,3) will be,

(y-3) = -1/5(x+3)

-5y+15 = x+3

x + 5y = 12

The above equation is the required equation of line in point slope form.

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Answer:

5/3 is the slope. slope is the same thing as rate of change

Step-by-step explanation:

Answer:

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}

When a study uses random sampling, each member of a population has an equal chance of being selected.

Cluster sampling occurs when researchers randomly sample subsets of the population and then use all individuals within the subsets.

Oversampling is often used to select participants to represent, in an unbiased way, subsets of the population that are not large enough to be accurately measured.

All all three of these techniques are representative sampling techniques.

It should be noted that sampling simply means the selection of subjects from the entire population.

In a random sampling, everyone has equal opportunity of being picked.

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