The radius of a right circular cone is increasing at a rate of 1.6 in/s while its height is decreasing at a rate of 2.2 in/s. At what rate is the volume of the cone changing when the radius is 135 in. and the height is 135 in.

Answer:

The volume of the jewelry box will be given by,

[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]

Step-by-step explanation:

It is provided that, Jasmine found a wooden jewelry box shaped like a right rectangular prism.

Consider the diagram below for the shape of a right rectangular prism.

The volume of a right rectangular prism is given by the formula:

[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]

Here,

l = length of the rectangle

w = width of the rectangle

h = height of the rectangular prism

Thus, the volume of the jewelry box will be given by,

[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]

Answer:

In the given problem, since it was stated that the dimension of the right rectangular prism is 8 by 6 by 14 cm. To solve the problem, you can use the formula for finding the volume. Therefore, the volume of the jewelry box is 672 cubic cm.

Answer: I believe this is it

The required reflection of the given points are A' = (5, -1), B' = (1, -3), C' = (-2, -2), D' = (-5, -4)

If we have any point say P(x, y) then their reflection around x -axis is

P'(x, -y)

Therefore around x-axis reflection only y coordinate changes

here we have the points

A = (5, 1), B = (1, 3), C = (-2, 2), D = (-5, 4)

Therefore the reflected points are

A' = (5, -1), B' = (1, -3), C' = (-2, -2), D' = (-5, -4)

The presentation is attached in the image

This is the conclusion to the answer.

Learn ore about reflection of the points here-

https://brainly.com/question/7243416

#SPJ2

Answer:

The estimated standard error is SM=1.1547 . The t statistic is 1.4722.

Step-by-step explanation:

We have to esimate the standard error and test statistic for a sample.

The sample has a size n=27.

The sample mean is M=17.7.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=√36=6.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6}{\sqrt{27}}=1.1547[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{17.7-16}{1.1547}=\dfrac{1.7}{1.1547}=1.4722[/tex]

Answer:

2 cups

Step-by-step explanation:

to find the extra cup of coffee

[tex]3\frac{1}{2}-1\frac{1}{2}=\frac{7}{2}-\frac{3}{2}=\frac{4}{2}=2 cups[/tex]

Answer:

The first coal mine worker is 650 feet below, so they're -650 ft.

The second coal mine worker is 7 feet above, so they're +7 ft.

| -650 | = 650 ft

| 7 | = 7 ft

650 > 7, so the first worker is farther from the surface.

Answer:

see below

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses at x = -7.5

(-7.5,0)

The y intercept is where it crosses the y axis

It crosses at y = 5.5

(0,5.5)

Answer:

Yes

Step-by-step explanation:

To compare the variability of the measured sugar content for each day, we can estimate the standard deviation using the Range rule.

Standard Deviation =[tex]\dfrac{\text{Maximum Value-Minimum Value}}{4}[/tex]

Day 1

5.0, 4.8, 5.1, 5.1, 4.8, 5.1, 4.8, 4.8, 5.0, 5.2, 4.9, 4.9, 5.0

Standard Deviation =[tex]\dfrac{5.2-4.8}{4}[/tex]

=0.1

Day 2

5.8, 4.7, 4.7, 4.9, 5.1, 4.9, 5.4, 5.3, 5.3, 4.8, 5.7, 5.1, 5.7

Standard Deviation =[tex]\dfrac{5.8-4.7}{4}[/tex]

=0.275

Day 3

6.3, 4.7, 5.1, 5.9, 5.1, 5.9, 4.7, 6.0, 5.3, 4.9, 5.7, 5.3, 5.6

Standard Deviation =[tex]\dfrac{6.3-4.7}{4}[/tex]

=0.4

Since the estimated standard deviation of the third day is higher than that of the second day, the variability of the process is greater on the third day than on the second day.

Answer:

      x = 32

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5/8*x+4-(3/8*x+12)=0

Step by step solution :

Step  1  :

           3

Simplify   —

           8

Equation at the end of step  1  :

   5         3

 ((—•x)+4)-((—•x)+12)  = 0

   8         8

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  8  as the denominator :

         12     12 • 8

   12 =  ——  =  ——————

         1        8  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3x + 12 • 8     3x + 96

———————————  =  ———————

     8             8  

Equation at the end of step  2  :

   5               (3x + 96)

 ((— • x) +  4) -  —————————  = 0

   8                   8    

Step  3  :

           5

Simplify   —

           8

Equation at the end of step  3  :

   5               (3x + 96)

 ((— • x) +  4) -  —————————  = 0

   8                   8    

Step  4  :

Rewriting the whole as an Equivalent Fraction :

4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  8  as the denominator :

        4     4 • 8

   4 =  —  =  —————

        1       8  

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

5x + 4 • 8     5x + 32

——————————  =  ———————

    8             8  

Equation at the end of step  4  :

 (5x + 32)    (3x + 96)

 ————————— -  —————————  = 0

     8            8    

Step  5  :

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  3x + 96  =   3 • (x + 32)

Adding fractions which have a common denominator :

6.2       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(5x+32) - (3 • (x+32))     2x - 64

——————————————————————  =  ———————

          8                   8  

Step  7  :

Pulling out like terms :

7.1     Pull out like factors :

  2x - 64  =   2 • (x - 32)

Equation at the end of step  7  :

 2 • (x - 32)

 ————————————  = 0

      8      

Step  8  :

When a fraction equals zero :

8.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2•(x-32)

 ———————— • 8 = 0 • 8

    8    

Now, on the left hand side, the  8  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (x-32)  = 0

Equations which are never true :

8.2      Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

8.3      Solve  :    x-32 = 0

Add  32  to both sides of the equation :

                     x = 32

One solution was found :

                  x = 32

Step-by-step explanation:

Answer:

= 16  12/13 mm

Step-by-step explanation:

To find the perimeter, we add all the sides

P = 4 3 /13 +4 3/13+ 4 3 /13 +4 3/13

Adding the whole numbers

4+4+4+4 = 16

Adding the fractions

3/13+3/13+3/13+3/13 = 12/13

Putting this back together

   = 16  12/13 mm

Answer:

x = 20

Step-by-step explanation:

x° + 2x° + (x+10)° = 90°

3x° + x° + 10° = 90°

4x° + 10° = 90°

4x° = 90°-10°

4x° = 80°

x = 80/4

x = 20

Answer:

20°

Step-by-step explanation:

The sum of all three angles combined is 90°.  You can see this by the square at the corner.  This means that you have to add all of the angles together and set it equal to 90° to solve for x.

x° + 2x° + (x + 10)° = 90°

3x° + (x + 10)° = 90°

4x° + 10° = 90°

4x° = 80°

x = 20°

Answer:

6

Step-by-step explanation:

2 3/4 = 2.75 & 16 1/2 = 16.5

No of pieces = 16.5/2.75 = 6

Answer:

6 pieces.

Step-by-step explanation:

16 1/2 /  2 3/4

= 33/2 / 11/4

= 33/2 * 4/11

=  132 / 22

=  6

Answer:it’s c on edge, sorry i’m late but for anyone else who needs help it’s c !!

Step-by-step explanation:

Answer:

C. on edg2020

Step-by-step explanation:

Hope this helps!!! Have a great day!!!    : )

Answer:

333 miliacres

Step-by-step explanation:

First of all, you should know  that 1 acre is the same as 4046.9 m²

So, 1/3 of those 4046.9 m² is fully covered by strawberries.

By the way, 4046.9m² . 1/3 = 1348.96 m². This is our planted field.

Let's convert the measure to acres, though:

1348.96 m² . 1 acre / 4046.9 m² = 0.333 acres

0.333 acres . 1000 / 1 acre = 333 miliacres

If you want to know in another unit, let's do another conversion

0.333 acre . 43560 square feet / 1 acre = 14520 square feet

Answer:

Step-by-step explanation:

Given SinP + SinQ = 7/5...1 and

∠P + ∠Q = 90°... 2

From compound angle; SinP +SinQ = [tex]2sin(\frac{P+Q}{2} )cos(\frac{P-Q}{2} )[/tex]... 3

Substituting equation 2 into 3 we will have;

SinP +SinQ = [tex]2sin(\frac{90}{2} )cos(\frac{P-Q}{2} )[/tex] = 7/5

[tex]2sin45^{0} cos\frac{P-Q}{2}=7/5[/tex]

since P = 90-Q from equation 1, then;

[tex]2sin45^{0} cos\frac{90-Q-Q}{2}=7/5\\2sin45^{0} cos\frac{90-2Q}{2}=7/5\\2(\frac{1}{\sqrt{2} } ) cos\frac{90-2Q}{2}=7/5\\cos\frac{90-2Q}{2} = 7/5* \frac{\sqrt{2} }{2} \\cos\frac{90-2Q}{2} = \frac{7\sqrt{2}}{10}\\\frac{90-2Q}{2} = cos^{-1} \frac{7\sqrt{2}}{10}\\\frac{90-2Q}{2} = 8.15\\90-2Q = 16.30\\2Q = 90-16.3\\2Q = 73.7\\Q = 36.85^{0} \\\\P = 90-36.85\\P = 53.15^{0}[/tex]

To get sin2P; Accoding to the trig identity;

Sin2P = 2SinPCosP

Sin2P = 2Sin53.15cos53.15

sin2P = 0.9598

sin2P ≈ 1

Answer:

Step-by-step explanation:

[tex]V=whl=15*7*6=630ft^3(truck)[/tex]

[tex]V=whl=1.25*2.5*2=6.25ft^2(boxes)[/tex]

To determine how many boxes can go in each truck you have to divide the volumes with ach other so 630/6.25 which equals 100.8

So you could say 2 trucks because each truck can carry 100.8 boxes each

[tex]V=\frac{1}{4} h\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\V=\frac{1}{4} *7.1*\sqrt{-4^4+2*(4*5)^2+2*(4*4)^2-5^4+2*(5*4)^2-4^4} \\=55.42m^3\\(chalet)[/tex]

There is allowed 1 person per 15m^3 and there are 5 people. Only 3 people can stay in the chalet equalling 45m^3 leaving 10m^3 left thus, not allowing anymore people to stay in the chalet. So the family cant meet the fire safety standards with 5 people

Answer:

  9) 630 ft^3; 6.25 ft^3; 2 trucks (3, if you consider space utilization)

  10) 71 m^3; 4 persons; no

Step-by-step explanation:

9) The volume of the truck is the product of the dimensions:

  V = LWH = (15 ft)(7 ft)(6 ft) = 630 ft^3 . . . truck V

Likewise, the volume of a storage box is the product of its dimensions:

  V = LWH = (2 ft)(2.5 ft)(1.25 ft) = 6.25 ft^3 . . . box V

If the boxes pack well into the truck (they don't), then the number of boxes that would fit in the truck is the ratio of these volumes:

  number of boxes = (630 ft^3)/(6.25 ft^3) = 100.8

This suggests that half of the 200 boxes will fit in one truck, so 2 trucks are needed.

__

Comment on space utilization

In the real world, not all of the truck's interior space can be utilized. This is because not all of the truck dimensions are integer multiples of the box dimensions. 96 is about the most boxes that can be placed in the truck. (Fitting more than 90 requires boxes be first layered one way, then layered another way to fill as much of the remaining space as possible.) In the real world, 3 trucks are needed to move 200 of these boxes.

___

10) The area of the end triangle of the chalet is ...

  A = (1/2)bh = (1/2)(5 m)(7.1 m) = 17.75 m^2

Then the volume of the chalet is ...

  V = Bh = (17.75 m^2)(4 m) = 71 m^3 . . . volume of the chalet

At 15 m^3 per person, there is enough volume for ...

  (71 m^3)/(15 m^3/person) = 4.73 persons

4 persons can stay in the chalet.

No, the entire family cannot stay in the chalet.

Answer:

D

Step-by-step explanation:

Its D because there is one dot that's far away from the rest, so there is one outlier. Hopefully this was helpful, I really am not the best person at giving explanations

Answer:

D. There is one outlier.

Step-by-step explanation:

Most of the points on the scatterplot are contained in one cluster, but there is one point that is not in the same cluster as the others.

Answer:

Step-by-step explanation:

The relevant relation is that the product of distances from the point of intersection of secants to the two points of intersection of each with the circle is a constant. The point of tangency counts as both points of intersection.

__

By way of example, the product of distances to the circle for the tangent segment is 10·10 = 100

This is also the product of the distances on the secant that intersects the tangent:

  100 = 5(5+x+9)

  20 = x +14 . . . . . divide by 5

  x = 6 . . . . . . . . . . subtract 14

__

The same is true when the secants intersect inside the circle:

  6·9 = y·3

  y = 18 . . . . . . divide by 3

Answer:

D. 39°

Step-by-step explanation:

mAB = (3x + 9°)

mCD = (11x – 71)

From the diagram: |AB|=|CD|

Since arcs AB and CD are subtended by a chord of equal length.

mAB=mCD

3x + 9°=11x – 71°

Collect like terms to solve for x

11x-3x=9°+71°

8x=80°

x=10°

Therefore, the measure of AB:

mAB = (3x + 9°)

=3(10)+9

=30+9

=39°

The correct option is D.

By the ratio test, the series converges if

[tex]\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(x-2)^{n+1}}{(n+1)!2^{n+1}}}{\frac{(x-2)^n}{n!2^n}}\right|=|x-2|\lim_{n\to\infty}\frac{n!2^n}{(n+1)!2^{n+1}}[/tex]

[tex]=\displaystyle\frac{|x-2|}2\lim_{n\to\infty}\frac1{n+1}[/tex]

is less than 1. The limit itself is 0 < 1, so the series converges everywhere, i.e. on the entire real line [tex](-\infty,\infty)[/tex].

Answer:

It is about 1.41421356. (square root of 2)

Step-by-step explanation:

You can use a calculator to figure it out! Just enter the value (-45) and press the sec button! Hope this helps :)

sec (-45) = 1/ cos (-45) .

and cos (-45) = (sqrt 2)/2 is the answer to the question

What is the value of sec(-45°)? there was no photo given or answer choices... sorry guys. thats why i asked on here lol

Answer:

−4(x^2+9)

Step-by-step explanation:

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Answer:

Organizations really focus more on early results, than on thinking carefully about the decisions they must make to achieve accurate and reliable results.

 The diagram of the decision tree really helps to analyze all the possible associated variables that can contribute to a good result.

Step-by-step explanation:

We could think of an organization that has children's toys as its final product; At first this organization might think that it is best to make the most popular toys that are promoted by the advertising media, but making a decision diagram and really evaluating what is best at the moment and how this affects demand, it could be induced to look all the variables that could determine to what extent those "toys" to which the media advertise so much are so acceptable in the children's market; we could really be surprised.

Answer:

110

Step-by-step explanation:

40% is the same as 40/100, which is equal to 0.4. Therefore, you can write the following equation:

0.4x=44

Divide both sides by 0.4 to isolate x:

x=44/0.4=110

Hope this helps!

Answer:

e. two-sample z-test for two proportions

Step-by-step explanation:

He has two machines, which have a proportion of defective motherboards. He want to compare this two proportions.

He takes two samples, one for each machine, and calculate the proportion in order to statistically test if there are significant difference between the proportions.

Then, this is a two-sample z-test for two proportions

Answer:

Finding the y value is easy if you know the slope of the line and the x coordinate. Review the equation for the slope of a line. The equation for finding the slope is: m = [y1 - y2] / [x1 - x2]. If you know x, you can solve for y to find the y value for the slope of the line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer B

cause a full triangle degrees is 180 degrees and u just have to remove:

180-40-30= 110 degrees

Answer:

The team won 33.33% of their games.

Step-by-step explanation:

Proportion and percentage of games won:

The proportion of games won is the number of games won divided by the total number of games.

The percentage of games won is the proportion multiplied by 100.

We have that:

8 wins in 24 games.

So

8/24 = 0.3333

0.3333*100 = 33.33%

The team won 33.33% of their games.

Answer:

y+6=14/9(x+2)

Step-by-step explanation:

Hope this helps

Answer:

The density function of X is : [tex]h_{X} (x) = \left \{ {{\frac{2}{(1+2x)^{2} } \quad x\geq0} \atop {x=0 \qquad x<0 }} \right.[/tex]

Step-by-step explanation:

[tex]h_{X} (x) = \left \{ {{\frac{2}{(1+2x)^{2} } \quad x\geq0} \atop {x=0 \qquad x<0 }} \right.[/tex]

For easiness and clarity of expression, the calculations are handwritten and attached as files. The files are broken into bits for easy understanding. Check the six files below for the calculations.

Answer:

The first book can be chosen from ANY of the 6 books,

the second book can be chosen from the OTHER 5 books and continuing in this way, we get:

6 * 5 * 4 * 3 * 2 * 1 = 720 ways

Step-by-step explanation: