Penny reads 13 pages in 1/4 hour. What is the unit rate for pages per hour? For hours per page?

Answer: 81

Step-by-step explanation: because you have 133 and 142 so if i was you i would subtract

step 1: 142-133 = 9  

Step 2: 90 - 9 = 81

There that is your answer 81

so ar^  = 2000 and you told me r = 10

a(10^5) = 2000

a = 2000/100000 = 1/50

the 6th term of a GP is 2000 is 0.02 then the first term of GP is 0.02

A geometric progression, also known as a geometric sequence, is a non-zero number sequence in which each term after the first is found by multiplying the previous one by a fixed, non-zero number known as the common ratio.

Geometric Progression (GP) is a type of sequence in which each succeeding term is produced by multiplying the previous term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.

Therefore,

The general form of a GP is a, ar, ar², ar³,...., arⁿ where a is the first term and r is the common ratio.

Given r=10

6th term of a GP = 2000

We know that nth term of a GP = \(ar^{n-1}\)

\(ar^5\) = 2000

a × (\(10^5\)) = 2000

a = 2000/100000

a = 1/50 = 0.02

Therefore, the first term of GP is 0.02

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ANSWER

75.00 %

EXPLANATION

The former height of the tree is 60 inches.

The new height is 105 inches.

First, let's find the increase:

Increase = New height - Former height

Increase = 105 - 60

Increase = 45 inches

To find the percent increase, we will use the formula below:

Therefore:

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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The perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the vertices of the rectangle are (-3.5,3), (3.5,3), (3.5,-3), and (-3.5,-3).

The length of the  rectangle is:

l = 3.5 - (-3.5)

l = 3.5 + 3.5

l = 7

The width of the rectangle is:

w = 3-(-3)

w = 3 + 3

w = 6

The perimeter of the rectangle is given by:

P = 2 (l +w)

P = 2(7 + 6)

P = 26

The area of the rectangle is:
A = l × w

A = 7 × 6

A = 42

Hence, the perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

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The value of the expression 4c² -9(c-1)/5c when c= 6 is 142.5

The value of an expression is the value which one gets after putting the value of the variables in the expression.

let 4x+ 2 be an expression and we want to know its value on x= 1 , then the value is 4(1)+2 = 6

Given an expression 4c² -9(c-1)/5c , then its value at c= 6 :

4(6)² -9(6-1)/5(6) =144 - 9(5)/5(6) = 144-3/2 = 285/2 = 142.5

The value of 4c² -9(c-1)/5c at c= 6 is 142.5

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The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

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No. The square root of 6 is irrational.

It's roughly 2.45, and in decimal form, it never ends.

Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

Answer:

21   24   9

6    18   30

27   12   15

Step-by-step explanation:

Answer:

you can make 12 cans of them

Answer:

Step-by-step explanation:

Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and  

            6,which is 12.

            3*3/4*3=9/12

             5*2/6*2=10/12

Step 2:Subtract 9/12 from 10/12,which is 1/12.

Answer:

A. x≤2

Step-by-step explanation:

If the circle is shaded in, x can equal that number or anything shaded in that direction.

Answer:

the answer is A. x <= 2

Step-by-step explanation:

filled dot means the number it's on is included.

So X can be 2 and anything below it

Answer:

x = 1 and y = 1

Step-by-step explanation:

7(1) minus 3(1) = 4

and 2(1) minus 1 = 1

just try and guess a number and try to solve the problem with that number, if it isn't the answer then repeat.

Answer: Use the app: photomath

Step-by-step explanation:

Answer:

38 quarters

Step-by-step explanation:

0.25 x 63 = 15.75

0.05 x 63 = 3.15

----------------------------

0.25 x 50 = 12.50

                    +         = $13.15

0.05 x 13 = 0.65

----------------------------

0.25 x 25 = 6.25

                   +        = $8.15

0.05 x 38 = 1.90

----------------------------

0.25 x 30 = 7.50

                   +         = $9.15

0.05 x 33 = 1.65

--------------------------

0.25 x 35 = 8.75

                   +        = $10.15

0.05 x 28 = 1.40

-------------------------

0.25 x 38 = 9.50

                   +        = $10.75

0.05 x 25 = 1.25

------------------------------

I hope this helps!

Answer:

5.66666666667

Step-by-step explanation:

85÷15=5.66666666667

Answer:

11.22cm

Step-by-step explanation:

2cm=15km

0.66km=      5km(17)

   11.22cm=                  85km

please give me a brainliest!!<3

Answer: 46

Step-by-step explanation: i took quiz i swear the answer is

Answer:

20 square units

Step-by-step explanation:

Area of a parallelogram is calculated with the following formula:

b*h (b: base, h: height)

5*4 = 20 square units

9514 1404 393

Answer:

Step-by-step explanation:

For a general parabola ...

  y = ax² +bx +c

The first derivative is ...

  y' = 2ax +b

and the second derivative is ...

  y'' = 2a

The second derivative is a (non-zero) constant, so there is no point of inflection. The sign of the second derivative (the sign of 'a') tells you whether the graph opens upward (a>0) or downward (a<0).

The first derivative is 0 where ...

  y' = 0 = 2ax +b

  x = -b/(2a) . . . . . extreme point of the graph

Whether this point is a maximum (a<0) or a minimum (a>0) depends on the sign of 'a'.

The value of the function at the extreme is ...

  y = a(-b/2a)² +b(-b/2a) +c = b²/(4a) -b²/(2a) +c

  y = c -b²/(4a)

So, the extremum is ...

  (x, y) = (-b/(2a), c -b²/(4a)) . . . . . vertex of the parabola

__

1. We have a=5, b=7, c=3.

  First derivative: f'(x) = 10x +7

  Second derivative: f''(x) = 10 . . . . graph opens upward

  Zeros: the discriminant b² -4ac is 7²-4(5)(3) = -11, so no real zeros

  Vertex: (-7/10, 3 -49/20) = (-0.7, 0.55) . . . minimum

__

2. We have a=-1, b=-5, c=5/2.

  First derivative: f'(x) = -2x -5

  Second derivative: f''(x) = -2 . . . . graph opens downward

  Zeros: found from the quadratic formula: x = (-b±√(b²-4ac))/(2a)

     x = (-(-5) ±√((-5)² -4(-1)(5/2)))/(2(-1)) = (5 ±√35)/2 ≈ {-5.458, 0.458}

  Vertex: (-5/2, 5/2-25/-4) = (-5/2, 35/4) = (-2.5, 8.75) . . . maximum

The expected value of X or E(X) is 2.45.

To find the expected value of a random variable X, denoted by E(X), we use the formula:

E(X) = ∑[x*P(X=x)]

where x is the value of X and P(X=x) is the probability of X taking the value x.

Using this formula, we can calculate the expected value of X based on the probability distribution table given to us.

X    1    2    3    4

P(X)   0.25 0.30 0.20 0.25

E(X) = (1 * 0.25) + (2 * 0.30) + (3 * 0.20) + (4 * 0.25)

= 0.25 + 0.60 + 0.60 + 1.00

= 2.45

Therefore, the expected value of X is 2.45.

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The probability distribution of the random variable X is given in the following table. Find the expected value of X . (Round your answer to 4 decimal places.) x -2 -1 0 1 2 P(X =x)  

a. 3

b. 2.45

c.6.9

d.1.2

The true statements are

To find the true statements about the graph that represents y = -2x(x - 11), we need to analyze the equation and its properties.

x-intercepts by setting y = 0 and solving for x:

form the equation we have y = -2x(x - 11)

0 = -2x(x - 11)

0 = x(x - 11)

x = 0

x = 11

The x-intercepts are at (0,0) and (11,0).

Now let's find the vertex of the parabola. The vertex is located at the x-coordinate x = -b / 2a,

y = -2x^2 + 22x

given that

a = -2,

b = 22

x coordinate of the vertex is found by

= -22 / (2 * -2)

= 22 / 4

= 5.5

so we can say that  the true statement is: The x-coordinate of its vertex is 5.5

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The total materials handling cost allocated to the modular homes is $246,372.84.

The total materials handling cost allocated to the Prefab Barns is closest to $108,000.

To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.

Proportion of material moves for Modular Homes:

= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)

= 590 / (590 + 190)

= 0.756

Total materials handling cost allocated to Modular Homes:

= Proportion of material moves for Modular Homes * Total materials handling cost

= 0.756 * $325,890

= 246 372.84

= $246,372.84.

To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.

For Modular Homes:

Total direct labor-hours for Modular Homes:

= 6,000 units * 800 hours/unit

= 4,800,000 hours

For Prefab Barns:

Total direct labor-hours for Prefab Barns:

= 9,000 units * 300 hours/unit

= 2,700,000 hours

Total direct labor-hours for both products:

= 4,800,000 hours + 2,700,000 hours

= 7,500,000 hours

Proportion of direct labor-hours for Prefab Barns:

= 2,700,000 hours / 7,500,000 hours

= 0.36

Allocated materials handling cost for Prefab Barns:

= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost

= 0.36 * $300,000

= $108,000.

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Answer:

The doomsday is 146 days

Step-by-step explanation:

Given

\(\frac{dy}{dt} = ky^{1 +c}\)

First, we calculate the solution that satisfies the initial solution

Multiply both sides by

\(\frac{dt}{y^{1+c}}\)

\(\frac{dt}{y^{1+c}} * \frac{dy}{dt} = ky^{1 +c} * \frac{dt}{y^{1+c}}\)

\(\frac{dy}{y^{1+c}} = k\ dt\)

Take integral of both sides

\(\int \frac{dy}{y^{1+c}} = \int k\ dt\)

\(\int y^{-1-c}\ dy = \int k\ dt\)

\(\int y^{-1-c}\ dy = k\int\ dt\)

Integrate

\(\frac{y^{-1-c+1}}{-1-c+1} = kt+C\)

\(-\frac{y^{-c}}{c} = kt+C\)

To find c; let t= 0

\(-\frac{y_0^{-c}}{c} = k*0+C\)

\(-\frac{y_0^{-c}}{c} = C\)

\(C =-\frac{y_0^{-c}}{c}\)

Substitute \(C =-\frac{y_0^{-c}}{c}\) in \(-\frac{y^{-c}}{c} = kt+C\)

\(-\frac{y^{-c}}{c} = kt-\frac{y_0^{-c}}{c}\)

Multiply through by -c

\(y^{-c} = -ckt+y_0^{-c}\)

Take exponents of \(-c^{-1\)

\(y^{-c*-c^{-1}} = [-ckt+y_0^{-c}]^{-c^{-1}\)

\(y = [-ckt+y_0^{-c}]^{-c^{-1}\)

\(y = [-ckt+y_0^{-c}]^{-\frac{1}{c}}\)

i.e.

\(y(t) = [-ckt+y_0^{-c}]^{-\frac{1}{c}}\)

Next:

\(t= 3\) i.e. 3 months

\(y_0 = 2\) --- initial number of breeds

So, we have:

\(y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}\)

-----------------------------------------------------------------------------

We have the growth term to be: \(ky^{1.01}\)

This implies that:

\(ky^{1.01} = ky^{1+c}\)

By comparison:

\(1.01 = 1 + c\)

\(c = 1.01 - 1 = 0.01\)

\(y(3) = 16\) --- 16 rabbits after 3 months:

-----------------------------------------------------------------------------

\(y(3) = [-ck * 3+2^{-c}]^{-\frac{1}{c}}\)

\(16 = [-0.01 * 3 * k + 2^{-0.01}]^{\frac{-1}{0.01}}\)

\(16 = [-0.03 * k + 2^{-0.01}]^{-100}\)

\(16 = [-0.03 k + 0.9931]^{-100}\)

Take -1/100th root of both sides

\(16^{-1/100} = -0.03k + 0.9931\)

\(0.9727 = -0.03k + 0.9931\)

\(0.03k= - 0.9727 + 0.9931\)

\(0.03k= 0.0204\)

\(k= \frac{0.0204}{0.03}\)

\(k= 0.68\)

Recall that:

\(-\frac{y^{-c}}{c} = kt+C\)

This implies that:

\(\frac{y_0^{-c}}{c} = kT\)

Make T the subject

\(T = \frac{y_0^{-c}}{kc}\)

Substitute: \(k= 0.68\), \(c = 0.01\) and \(y_0 = 2\)

\(T = \frac{2^{-0.01}}{0.68 * 0.01}\)

\(T = \frac{2^{-0.01}}{0.0068}\)

\(T = \frac{0.9931}{0.0068}\)

\(T = 146.04\)

The doomsday is 146 days

Answer:6^21

Step-by-step explanation:

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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The standard form of the given expanded form is 959627.

The standard form means the process of writing very large expanded form of a number into small form or small number.

The given expanded form is 900,000 + 50,000 + 9,000 + 600 +20+7

= 959627

Therefore, the standard form of the given expanded form is 959627.

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The measure of the inscribed angle G in the circle is 85 degree.

An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.

The relationhip between an an inscribed angle and intercepted arc is expressed as:

Inscribed angle = 1/2 × intercepted arc.

Since the circle equals 360 degrees, we can determine the intercepted arc DF.

Hence:

Arc DF = 360 - ( 70 + 120 )

Arc DF = 360 - 190

Arc DF = 170°

Now, plug the value into the above formula:

Inscribed angle = 1/2 × intercepted arc.

Inscribed angle G = 1/2 × 170°

Inscribed angle G = 85°

Therefore, angle G has a measure of 85 degree.

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Answer:

X = 10/(y-4)

Step-by-step explanation:

4X(y-4) = 40

X(y-4) = 10

X = 10/(y-4)

Answer:

4

Step-by-step explanation:

We just have to find the corresponding d(t) value when t=2. From the graph, we can see that when t = 2, d(2) = 4. Hope this helps!

\(\mathsf {2(10 + 2) = 3(y + 3)}\)

\(\mathsf {24 = 3y + 9}\)

\(\mathsf {3y = 15}\)

\(\textsf {y = 5}\)

\(\textsf {The value of y will be 5. }\)