At the instant when the radius of a cone is 3 inches, the volume of
the cone is increasing at the rate of 9 pi cubic inches per minute. If
the height is always 3 times the radius, find the rate of change of the
radius at that instant.

Answer:

8.5g

Step-by-step explanation:

the mass decreased by 17%,so the decrease in mass 17% of 50g.17% of 50 = 0.17 × 50 =8.5 the mass decreased by 8.5g

The mass is decreased by [tex]8.5g[/tex].

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

A mass of [tex]50[/tex] g decreased by [tex]17[/tex] %.

So, in the mass [tex]17[/tex] % of [tex]50g[/tex] and of [tex]50g[/tex] is [tex]17[/tex] % is of the form:-

[tex]50=0.17[/tex] ×[tex]50=8.5[/tex]

Hence, the mass is decreased by [tex]8.5g[/tex].

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Answer:

The length of the garden is 94 m.

Step-by-step explanation:

you do 5828 m. divided by 62m. and that is how you get your answer of 94 m.

Answer:

94

Step-by-step explanation:

Area of a rectangle = Length x Width

5828 = L x 62

Length = 5828/62

Length = 94

Answer:

x = -1

Step-by-step explanation:

4/12 can be simplified to 1/3

1         x+2

---  = --------------

3          2x+5

Using cross products

1 ( 2x+5) = 3 (x+2)

Distribute

2x+5 = 3x+6

Subtract 2x from each side

2x+5-2x = 3x+6-2x

5 = x+6

Subtract 6 from each side

5-6 = x+6-6

-1 =x

Answer:

Step-by-step explanation:

Key skills: Proportions, One variable equations, Multiplication, Distribution Property

1) The best approach to this problem is with cross multiplication.

Cross multiplication is where we multiply the numerator of one fraction with the denominator of the other fraction, and the denominator of one fraction with the numerator of the other fraction.

2) Here we would do: 4(2x+5) and 12(x+2)

3) Since this is a proportion --> 4(2x+5) = 12(x+2)

4) Now, we use distribution property to expand both.

4(2x+5) --> 8x+ 20                      12(x+2) --> 12x+24

5) With simplifying we can solve for x:

If you plug in x=-1 back into the equation: 4/12= 1/3

4/12 does equal 1/3 so x= -1 is the right answer.

Hope you have a nice day and understood this problem explanation!! :D

Answer:

x = 55

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

x/5 - 1 = 10

Step 2: Solve for x

Answer:

n - 8  = 20

Step-by-step explanation:

Answer:

10x+41=[5+-7]+[2x-2]

we move all terms to left 10x+41-[[5x-7+[2x-2]]=0

Step-by-step explanation:

l calculate terms in parentheses

5x+2x-7-2

we add all the numbers together, and 7x-9 back to the equation -7x-9]

we get ride of parentheses 10x-7+9+41=0 we add all the numbers together,and all 3x+50=0

we move all the terms containg x to the left, all other therms to the right 3x=50

x=-50\3

x-50\3

Step-by-step explanation:

340=8min

850=?(x)

340x=850×8

340x=6800

x=6800/340

x=20min

so..the teachertook 20 minute to print 850 copies

Answer:

7-(-1)

Step-by-step explanation:

Answer: Ur answer is B

Step-by-step explanation:

Answer:

Answer:

12x+6y

Step-by-step explanation:

Answer:

E) The distribution of ages, in years, of all the residents of a town, where the right tail of the distribution is longer than the left

Step-by-step explanation:

Because the distribution is described as having a tail on the right that is longer than the left, it is skewed right and not a normal model.

9514 1404 393

Answer:

 f^-1(x) = 2x/(x -1)

Step-by-step explanation:

You can find the inverse function by solving for y:

  [tex]f(y)=x\\\\\dfrac{y}{y-2}=x\\\\x(y-2)=y \qquad\text{multiply by $y-2$}\\\\xy-2x=y \qquad\text{eliminate parentheses}\\\\xy-y=2x \qquad\text{add $2x-y$}\\\\y(x-1)=2x \qquad\text{factor}\\\\y=\dfrac{2x}{x-1} \qquad\text{divide by the coefficient of $y$}\\\\\boxed{f^{-1}(x)=\dfrac{2x}{x-1}} \qquad\text{in functional form}[/tex]

Answer:

1/ √2

Step-by-step explanation:

Here, we want to get the value of sin 45

Mathematically the sine is the ratio of the opposite to the hypotenuse

The opposite here is 1 while the hypotenuse is

√2

so the value of sin 45 will be;

1/ √2

Answer:

5, 9

Step-by-step explanation:

To obtain the next term in a sequence add the common difference d to the previous term.

d = a₂ - a₁ = - 3 - (- 7) = - 3 + 7 = 4

Thus

a₄ = a₃ + 4 = 1 + 4 = 5

a₅ = a₄ + 4 = 5 + 4 = 9

Answer:

C.-8

Step-by-step explanation:

plug in 2y-4 in x of the second equation meaning 7(2y-4)+5y=-66

multiply and combine like terms then solve for y and you should get -2

then plug in -2 for y in the first equation and you should be able to solve for x

The required solution of the given expression is a = 9 + b- c. Option A is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression
√a−b+c=3
Squaring both sides,
a - b + c = 9
Rearrange the equation in order of a,
a = 9 + b - c

Thus, the required solution of the given expression is a = 9 + b - c. Option A is correct.

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Answer: 42650

Step-by-step explanation:

The tens place is behind the ones place.

The number in the tens place in 42653 is 5.

So to round to the nearest tens you have to change three to 0 because if the number in the ones place is 5 or more, then the number in the tens place would be 1 higher than it used to be while the number in the ones place turns to 0.

However if the number in the ones place is less than 5, then that's the only thing that changes, the ones place would change into a '0.'

Hope that helped!

42650 is the value of the 426563 when rounded to the nearest ten.

The value a digit in a number represents based on where it is in the number is known as place value.

Given, the number 42653 which is rounded to the nearest ten value needs to find. Since,

The one's place is in front of the tens place.  In the number 42653, the tens place value is 5. The number three must be changed to 0 in order to round to the next tens because, if the number in the one's place is 5 or greater, the number in the ten's place would be 1 higher than it was previously while the number in the one's place would become 0. The one's place would change to a "0" if the number in the one's place is less than 5, but that is all that changes.

Therefore, When rounded to the nearest ten, 42650 represents the value of 426563.

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Answer:

100/60×36

=$60 is what the first one will pay

=

Step-by-step explanation:

Answer:

X=166°

Step-by-step explanation:

Answer:

70°

Step-by-step explanation:

All triangles' angles are added up to 180°

30 + 80 + x = 180

110 + x = 180

x = 180 - 110

x = 70

Answer:

[tex]x = 70[/tex]

Step-by-step explanation:

[tex]x = 180 - (30 + 80)[/tex]

[tex]x = 180 - 110[/tex]

[tex]x = 70[/tex]

to be sure

[tex]70 + 80 + 30 { = }^{?} 180[/tex]

[tex]100 + 80 { = }^{?} 180[/tex]

[tex]180 = 180[/tex]

Answer:

C. 16

Step-by-step explanation:

The greatest factor of both 48 and 64 is 16.

8 is also factor, but it is less than 16.

Answer:

From narrowest to widest:

1) [tex]8\cdot x^{2} + 2\cdot x +5[/tex]

2) [tex]5\cdot x^{2}-1[/tex]

3) [tex]2\cdot x^{2}+4[/tex]

4) [tex]\frac{2}{5}\cdot x^{2}+3\cdot x -5[/tex]

Step-by-step explanation:

The "width" of the quadratic function is determined by the value of the coefficient associated by the monomial of highest grade, with respect to the primitive of the quadratic function, represented by [tex]y = x^{2}[/tex], whose ruling coefficient is 1. If the ruling coefficient of the quadratic function is greater than  one, then the curve becomes narrower at the same time that the coefficient increases. Otherwise, if the ruling coefficient of the quadratic function is greater than zero and less than 1, then the curve becomes wider at the same time that the coefficient approximates to zero.

Based on this considerations, we proceed to list the quadratic functions from the narrowest to widest:

1) [tex]8\cdot x^{2} + 2\cdot x +5[/tex]

2) [tex]5\cdot x^{2}-1[/tex]

3) [tex]2\cdot x^{2}+4[/tex]

4) [tex]\frac{2}{5}\cdot x^{2}+3\cdot x -5[/tex]

Lastly, we include a graphic with all polynomials (tagged as 1, 2, 3, 4) in comparison primitive function (tagged as 0).

Answer:

in (x,y), it becomes (-x,y)

Step-by-step explanation:

Answer: 27

Step-by-step explanation:

use the formula for the area of circle and solve for r: A=pi r^2

2290.221=pir^2 <---divide by pi

729=r^2 <--- square root both sides

27=r

Answer:

x = 132°

Step-by-step explanation:

sum of total exterior angles = 360°

x + 147° + 81° = 360°

x + 228° = 360°

x = 360° - 228°

x = 132°

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

first add 1/7x and 2/9x by using the common denominator of 63

9/63x + 14/63x = 23/63x

and, 3/8 - 1/8 = 2/8 or 1/4

Step-by-step explanation:

Given:

7p - 6pc + 3c - 2

Find:

Number of terms

Coefficients

Constant terms

Computation:

Number of terms = 4

Coefficients = (7, -6, 3)

Constant terms = -2

Answer:

c [tex]\leq[/tex] -207

Step-by-step explanation:

Create an inequality and solve for c:

[tex]\frac{c}{9}[/tex] [tex]\leq[/tex] -23

Multiply by 9 on each side:

c [tex]\leq[/tex] -207 is the answer