find the total surface area for the following.
height-3m, length-300 cm and width- 2 cm.​

Answer:

x" means that the value of y depends upon the value of x, so: y can be written in terms of x (e.g. y = 3x ). If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s . this should help I asked my brother for the answer and he told me to put this happy to help :0

Answer:

Mean = 30, Median = 29.5, Range = 9 and Mid-range = 29.5.

Step-by-step explanation:

We are given that a local doctor’s office logged the number of patients seen in one day by the doctor for ten days.

Arranging the given data in ascending order we get;

24, 25, 27, 27, 28, 31, 33, 35, 35, 35.

(a) Mean is calculated by using the following formula;

         Mean, [tex]\bar X[/tex]  =  [tex]\frac{\text{Sum of all values}}{\text{Total number of observations}}[/tex]

                          =  [tex]\frac{27+ 31+ 27+ 35+ 35+ 25+ 28+ 35+ 33+ 24}{10}[/tex]

                          =  [tex]\frac{300}{10}[/tex]  = 30

So, the mean of the given data is 30.

(b) For calculating the median, we have to first have to observe that the number of observations (n) in the data is even or odd.

                     Median  =  [tex](\frac{n+1}{2})^{th} \text{ obs.}[/tex]

                     Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.}+ (\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations is even, i.e. n = 10.

So,  Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.}+ (\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                     =  [tex]\frac{(\frac{10}{2})^{th} \text{ obs.}+ (\frac{10}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                     =  [tex]\frac{(5)^{th} \text{ obs.}+ (6)^{th} \text{ obs.} }{2}[/tex]

                     =  [tex]\frac{28+31}{2}[/tex]

                     =  [tex]\frac{59}{2}[/tex]  =  29.5

So, the median of the data is 29.5.

(c) The range of the data is given by = Highest value - Lowest value

                                                        = 35 - 24 = 9

So, the range of the data is 9.

(d) Mid-range of the data is given by the following formula;

                   Mid-range  =  [tex]\frac{\text{Highest value}+\text{Lowest value}}{2}[/tex]

                                      =  [tex]\frac{35+24}{2}[/tex] = 29.5

Answer:

The surface area of the piece of wood to be painted is:

[tex]A = \pi \cdot (R^{2}-16\,cm^{2}) + 2\pi \cdot R \cdot \sqrt{R^{2}+h^{2}}[/tex]

Step-by-step explanation:

The surface area to be painted is equal to the surface area of the cone minus the cross area of the hole. That is:

[tex]A = \pi \cdot R^{2} + 2\pi\cdot R \cdot \sqrt{R^{2}+h^{2}} - \pi \cdot r^{2}[/tex]

[tex]A = \pi \cdot (R^{2}-r^{2}) + 2\pi \cdot R \cdot \sqrt{R^{2}+h^{2}}[/tex]

Where:

[tex]R[/tex] - Radius at the bottom of the cylinder, measured in centimeters.

[tex]h[/tex] - Height of the cylinder, measured in centimeters.

[tex]r[/tex] - Radius of the cylindrical hole, measured in centimeters.

If [tex]r = 4\,cm[/tex], the surface area of the piece of wood to be painted is:

[tex]A = \pi \cdot (R^{2}-16\,cm^{2}) + 2\pi \cdot R \cdot \sqrt{R^{2}+h^{2}}[/tex]

True.

Integration is also called anti-differentiation, mathematically its an inverse function of differentiation.

For example, one of the first equalities learned is:

[tex]f(x)=g'(x)\Longleftrightarrow\int g'(x)dx=f(x)[/tex].

Which explains that if you differentiate a function (get its derivative) and then integrate the derivative you will obtain the original function.

Hope this helps.

Answer:

64 degrees

Step-by-step explanation:

Answer:

(2.x) + (2.7) = 36

Step-by-step explanation:

Solving the given equation with the distributive property,

 A(B + C) = (A.B) + (A.C)

So that,

2(x+7) = 36

(2.x) + (2.7) = 36

2x + 14 = 36

2x = 36 - 14

2x = 22

x = 11

From the given expressions, the option that is the correct first step to solving this equation is;

(2.x) + (2.7) = 36

Answer:

Here you go

Step-by-step explanation:

Answer:

The answer to this equation is 3 5/6

Step-by-step explanation:

in order to solve this problem, we must first turn these fractions into improper fractions. We can do this by multiplying the base number with the denominator and adding the numerator to that number.

6 1/2 = 13/2

2 2/3 = 8/3

Now, set up your equation.

13/2 - 8/3

Change the denominators to the same number so it will be easier to subtract.

39/6 - 16/6

Now subtract.

23/6 = 3 5/6

Answer:

3 5/6

Step-by-step explanation:

6 1/2 - 2 2/3 = 13/2 - 8/3

(39 - 16)/6 = 23/6 = 3 5/6

Answer:

The simple interest is Prt

The simple interest on the money will be $24300

Step-by-step explanation:

The complete question is shown below

The principal P is borrowed at simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$18,000, r=7.5%, t=18 months

Principal = P

Interest rate = r

Time period = t

simple interest owed for the use of the money will be gotten as below

The percentage of the principal that will be owed per unit period is the rate r

The total rate that it will be involved in this time period will be the product of the rate and the time = r x t = rt

Finally, to know the amount of interest that this rate will result to, we multiply the total rate in the time period by the original principal borrowed

Total interest = Prt

For a simple interest on the principal P = $18,000,

the interest rate = 7.5% = 7.5/100 = 0.075,

time period = 18 months

we assume the interested is calculated on a monthly basis

Simple interest = Prt

==> 18000 x 0.075 x 18 = $24300

Answer:

its 13/56.

Step-by-step explanation:

13/4d= 14

or , 13 = 14×4d

or, 13=56 d

or, d = 13/56.

Answer:

The answer is D

Step-by-step explanation:

1 3/4d= 14

7/4d = 14

d = 8

Hope I helped pls tell me if i'm wrong :D

Answer:

Hydro static force is =18377 N

Step-by-step explanation:

The hydro static force is equals to the hydro static pressure times the area.

The hydro static pressure of a fluid increases as the depth of the fluid increases and the formula of it is given below.

Hydro static Pressure, P = d·g·ρ

Where, d is the depth of the object

g is the gravitational constant

ρ is the density of the fluid

Density of water   ρ = [tex]1000 kg/m3[/tex]

=1000 kg/m^3 * 9.8m/s^2 which is √(3/2).a below the water level.

Side of the plate  x = 10 m

The hydrostatic force = the pressure at the center x the area =[tex][sqrt(3)/2 m][1000 kg/m^3 * 9.8m/s^2][/tex][tex][(1/2)(3)(8)(sqrt(3)/2) m^2][/tex]=18377 N

Answer:

the answer is D

Step-by-step explanation:

leshawna should've won season 1 PERIODT

6.51 × [tex]10^{-2}[/tex] oz grain of spice weighs more than the particle of unobtainium.

Given that, the weight of a particle of unobtainium is [tex]2.66\times10^{-6}[/tex] oz and the weight of a grain of spice is [tex]9.17\times10^{-4}[/tex] oz.

We need to find how much more grain of spice weighs than the particle of unobtainium.

To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.

Now,  [tex]9.17\times10^{-4}[/tex] - [tex]2.66\times10^{-6}[/tex]

=9.17-2.66 × [tex](10^{-4}-10^{-6})[/tex]

=6.51 × [tex]10^{-2}[/tex]

Therefore, 6.51 × [tex]10^{-2}[/tex] oz grain of spice weighs more than the particle of unobtainium.

To learn more about a scientific notation visit:

https://brainly.com/question/18073768.

#SPJ2

Answer

h = 5m

Step-by-step explanation:

area of a parallelogram is b * h

base = 14 m

h = ?

Area = 70 m²

Area = b * h

70 = 14 * h

h = 70 / 14

h = 5 m

Answer:

If we have a growing exponential relation, we can write it as:

f(x) = A*r^x

Where A is the initial amount, r is the rate of growth, in this case, r > 1 (because is a growing exponential relation)

Now, the "slope" of the graph in x, is equal to the derivate of f(x) in that point, and we have:

f'(x) = A*(r^x)*ln(r)

Now, remember that r > 1, then ln(r) > 0.

then, f'(x) is a growing function as x grows, and f'(x) grows exponentially, this means that the slope of the graph also grows exponentially as x grows.

Answer:

M = 27 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin M = opp side/ hypotenuse

Sin M = 5/11

Take the inverse sin of each side

sin ^-1  sin M = sin ^1 (5/11)

M = 27.03569179

To the nearest degree

M = 27 degrees

Answer:

87.5%

Step-by-step explanation:

Total parts = 8

Part 6 = 1

Parts not 6 = 7

P(not 6) = 7/8

In %age:

=> 87.5%

Answer:

87.5%

Step-by-step explanation:

The numbers not 6 on the spinner are 2, 3, 4, 5, 7, 8, and 9.

7 numbers out of 8 are not 6.

7/8 = 0.875

P(not 6) = 87.5%

Answer:

81/16

Step-by-step explanation:

(2/3)⁻⁴

Solve for exponent and evaluate.

1/(2/3)⁴

Distribute the power 4 to the whole fraction.

1/(2⁴/3⁴)

1/(16/81)

(16/81)⁻¹

Reciprocal.

= 81/16

Answer:

3/7

Step-by-step explanation:

We have 7 possible outcomes. Of those 7, we are looking for 4 ≤ x < 7. Since only 3 of those values work (4, 5, 6), our answer is 3/7.

Answer:

Mark has 24

Don has 79

Step-by-step explanation:

Let x = marbles mark has

don has 3x+7

Together they have 103

mark + don = 103

x+ (3x+7) = 103

Combine like terms

4x+7 = 103

Subtract 7

4x = 96

Divide by 4

x = 96/4

x =24

Mark has 24

Don has 103 -24

Done has 79

Answer:

https://brainly.com/question/8847227

Step-by-step explanation:

Answer:

Option D is the right option

solution,

[tex]3x - 9 = - 33 \\ or \: 3x = - 33 + 9 \\ or \: 3x = - 24 \\ or \: x = \frac{ - 24}{3} \\ x = - 8[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

-8

Step-by-step explanation:

3x-9=-33

transpose 9 to RHS

->3x=-33+9=> 3x=-24

transposing 3 to RHS

=> x=-24÷3

=> x=-8

Answer:

270 tiles.

Step-by-step explanation:

The kitchen is 15 x 18 feet. If we multiply we find the area is 270 square feet. one square foot is a 12 x 12 inch square, so we can fit one tile per square foot, giving us 270 tiles.

Answer:

Factoring is a useful skill in real life. Common applications include: dividing something into equal pieces, exchanging money, comparing prices, understanding time, and making calculations during travel.

Sorry if this is a little wordy, I can get carried away with this sort of thing

anyway, hope this helped and answered your question :)

Answer:

V lies in the exterior of <STU.

Step-by-step explanation:

V lies in the exterior of <STU.

Answer:

[tex]Shorter\ side=4-2\times 0.845=2.31\ m\\Longest\ side=8-2\times 0.845=6.31\ m\\Height=0.845\ m[/tex]

Step-by-step explanation:

Given that , dimension of the cardboard is 4 m by 8 m.

Lets the dimensions of the square is x m by x m.

The volume after cutting the equal size of square from all the four corners is given as

[tex]V=x\times (4-2x)\times (8-2x)\\V=x\times (32-16x-8x+4x^2)\\V=x\times (4x^2-24x+32)\\V=4x^3-24x^2+32x\\[/tex]

For the maximum volume

[tex]\dfrac{dV}{dx}=12x^2-48x+32=0\\3x^2-12x+8=0\\[/tex]

For maximum value of volume , the value of x will be 0.845

x= 0.845

Therefore the dimensions will be

[tex]Shorter\ side=4-2\times 0.845=2.31\ m\\Longest\ side=8-2\times 0.845=6.31\ m\\Height=0.845\ m[/tex]

The volume of a shape is the amount of space in the shape.

The dimensions that produce the largest volume are: 2.31 m by 6.31 m by 0.845 m

The dimensions of the cardboard is given as:

[tex]\mathbf{Length = 4m}[/tex]

[tex]\mathbf{Width = 8m}[/tex]

Assume the cut-out is x.

So, the dimension of the box is:

[tex]\mathbf{Length = 4 - 2x}[/tex]

[tex]\mathbf{Width = 8 - 2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

So, the volume of the box is:

[tex]\mathbf{V = (4 - 2x)(8 - 2x)x}[/tex]

Expand

[tex]\mathbf{V = 32x -24x^2 + 4x^3}[/tex]

Differentiate

[tex]\mathbf{V' = 32 -48x + 12x^2}[/tex]

Set to 0

[tex]\mathbf{32 -48x + 12x^2 = 0}[/tex]

Divide through by 4

[tex]\mathbf{8 -12x + 3x^2 = 0}[/tex]

Rewrite as:

[tex]\mathbf{3x^2-12x +8 = 0}[/tex]

Using a calculator, we have:

[tex]\mathbf{x = 0.845,\ 3.155}[/tex]

3.155 is greater than the dimension of the box.

So, we have:

[tex]\mathbf{x = 0.845}[/tex]

Recall that:

[tex]\mathbf{Length = 4 - 2x}[/tex]

[tex]\mathbf{Width = 8 - 2x}[/tex]

[tex]\mathbf{Height = x}[/tex]

So, we have:

[tex]\mathbf{Length = 4 - 2 \times 0.845 = 2.31}[/tex]

[tex]\mathbf{Width = 8 - 2 \times 0.845 = 6.31}[/tex]

[tex]\mathbf{Height = 0.845}[/tex]

Hence, the dimensions that produce the largest volume are: 2.31 m by 6.31 m by 0.845 m

Read more about volumes at:

https://brainly.com/question/15918399

Answer:

44π rads per seconds

Step-by-step explanation:

Already the speed of the 4 foot blade is given as 22 revolutions per sec.

What we have to do is just to convert the 22 revolutions per second to radians.

1 rev = 360°

360° = 2π

So the speed is actually equal to

22 *360 = 7920° per second

Or

22*2π = 44π rad per seconds

What ever way the answers are both same.

Answer:

  x = 2.4

Step-by-step explanation:

We assume you intend ...

  [tex]\sqrt{x^2+49}=x+5\\\\x^2+49=x^2+10x+25\qquad\text{square both sides}\\\\24=10x\qquad\text{subtract $x^2+25$}\\\\\boxed{2.4=x}\qquad\text{divide by 10}[/tex]

Answer:

[tex] 5.1 - 2.015 \frac{19.1}{\sqrt{45}}= -0.637[/tex]

[tex] 5.1 + 2.015 \frac{19.1}{\sqrt{45}}= 10.837[/tex]

And for this case since the confidence interval contains the value 0 we don't have significant evidence that we have a net change in the levels

Step-by-step explanation:

For this case we have the following info given:

[tex] n=45[/tex] represent the sample size

[tex] \bar X= 5.1[/tex] represent the sample mean

[tex] s= 19.1[/tex] represent the sample deviation

We can calculate the confidence interval for the mean with the following formula:

[tex] \bar X \pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]

The confidence level is 0.90 then the significance level would be [tex]\alpha=0.1[/tex] and the degrees of freedom are given by:

[tex] df= n-1 = 45-1=44[/tex]

And the critical value for this case would be:

[tex] t_{\alpha/2}=2.015[/tex]

And replacing we got:

[tex] 5.1 - 2.015 \frac{19.1}{\sqrt{45}}= -0.637[/tex]

[tex] 5.1 + 2.015 \frac{19.1}{\sqrt{45}}= 10.837[/tex]

And for this case since the confidence interval contains the value 0 we don't have significant evidence that we have a net change or efectiveness in the levels

Answer:

w=25 degrees, x= 155 degrees, y= 155 degrees, z=155 degrees

Step-by-step explanation:

Angle W and angle I are equal because they are located on same line with PARALLEL lines A and C

Angle X and angle I need to add up to 180 degrees because they together are a strait line, so angle X is 155 because 155+25 =180

Angle Y and angle I are equal because they are exactly the same but lower on the line

Angle Z is same as angle X explenation just a different strait line

Answer:

W=25 degrees

X=155 degrees

Y =155 degrees

Z= 155 degrees

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

you just work out all of the degrees in the other triangles first

Answer:

D -price of car wash keeps getting higher

Answer: The price of a car wash keeps getting higher

Step-by-step explanation: