If f(x)=x^5+, 5 then what is the remainder when f(x) is divided by x+2

Answer: 1.29 x 104 lbs.

Step-by-step explanation:

4.23 x 103 lbs. and 8.7 x 103 lbs.

4.23 x 103 + 8.7 x 103 =

4.23 x 10^3 + 8.7 x 10^3 =

(4.23+8.7) x 10^3 =

(4.23+8.70) x 10^3 =

(12.93) x 10^3 =

1.293 x 10 x 10^3 =

1.293 x 10^1 x 10^3 =

1.293 x 10^(1+3) =

1.293 x 10^4 =

1.293 x 10^4 = 1.29 x 104 lbs.

The total weights of the two animals in scientific notation is

13.32 x 10² lbs

What is scientific notation ?

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

According to the given question,

First animal weight 4.23 x 103 lbs

Second animal weigh 8.7 x 103 lbs

adding both the animal weights

= 4.23 x 103 + 8.7 x 103

= (4.23 + 8.7 ) x 103

= 12.93 x 103

= 1331.79 lbs

converting into scientific notation

= 13.3179 x 10² lbs  (rounding off)

≈ 13.32 x 10² lbs

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Answer:

John's balance before making the deposit is -$195.

Step-by-step explanation:

Let us assume that John's bank balance is $X.

Now,

John makes a deposit of $120 and still, he is overdrawn by $75.

Therefore,

\(\begin{aligned}\rm{\$X} + \rm{\$120} &= -\rm{\$75}\\X&=-\$195\end{aligned}\)

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Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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In linear equation, 4  is the maximum whole number of gigabytes of data he can use while staying within his budget.

What are a definition and an example of a linear equation?

Let the number of gigabyte so f data she can use while staying within her budget then,

we can write the cost equation as following

 4x + 66.50 ) ≤ 85

   85 - 66.50 ≤ 4x

   18.5 ≤ 4x

   x ≤ 18.5/4

   x ≤ 4. 625

   Xmax =  4

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The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

To determine if the function f(x) = (x+3)/(x²-9) is continuous at x=3, we need to check if the limit of the function exists as x approaches 3 from both the left and the right, and whether this limit is equal to the value of the function at x=3.

First, we can check the limit as x approaches 3 from the left:

lim x→3- f(x) = lim x→3- (x+3)/(x²-9) = (-3)/(0-) = ∞

Next, we can check the limit as x approaches 3 from the right:

lim x→3+ f(x) = lim x→3+ (x+3)/(x²-9) = (6)/(0+) = ∞

Since both one-sided limits are infinite, the limit as x approaches 3 does not exist.

Therefore, the function f(x) = (x+3)/(x²-9) is not continuous at x=3.

The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

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Answer:

-8c -12 =0

-8c = 12

c = - 12/8 = -3/2

Answer:

50% increase

Step-by-step explanation:

4050-2700 = 1350

1350/2700 = 0.5

Convert to a percentage:

0.5*100 = 50

Answer:

Right answer = 52

Wrong answers = 8

Step-by-step explanation:

Every correct answer = + 3

Every wrong answer = - 2

Number of correct answers = x

Number of wrong answers = y

x + y = 60 - - - (1)

3x - 2y = 140 - - - (2)

From (1) :

x = 60 - y

Put x = 60 - y into (2)

3(60 - y) - 2y = 140

180 - 3y - 2y = 140

180 - 5y = 140

-5y = 140 - 180

-5y = - 40

y = 8

x = 60 - y

x = 60 - 8

x = 52

Right answer = 52

Wrong answers = 8

Answer:

  each of the 12 turns is 150°

Step-by-step explanation:

If we number the points of the star 1–12, in order for the star to be symmetrical, each point must connect to two points symmetrically located around the centerline.

That is, point 1 may connect to points {2, 12} or {3, 11} or {4, 10}, or {5, 9} or {6, 8} or {7, 7}. For each of these connections, the angle made at the point of the "star" is, respectively, 150°, 120°, 90°, 60°, 30° or 0°. For these angles, the figure obtained will be ...

  150° - dodecagon, a 12-sided figure

  120° - hexagon

  90° - square

  60° - equilateral triangle

  30° - 12-pointed star

  0° - straight line

The two 12-pointed figures are shown in the attachment.

__

We suspect the star you're interested in is the one with points that are 30°. In order to have that point angle, the spider must make a turn of 180° -30° = 150°.

The spider will make 12 turns of 150°, for a total of 1800°, for a total of 5 full turns of 360°.

Answer:

Move the spide by 100 units and then turn the spider by 150 degrees. Repeat until you complete the star.

Step-by-step explanation:

people above are correct! I'm just making the steps as clear as possible for those who need it :)

Answer: Step 1 and 2

Step-by-step explanation:

The negative in front of the 3 is lost when distributing to the 2.

Answer:

V=π r^2 h/3

d=2 3/8 inches

convert to radius   d=2r

d=2.375 (value of 2 3/8 inches in decimal)

2.375 divide by 2

r=1.1875 inches

V=π r^2 h/3

V=3.14 x 1.1875^2 x 6/3

Volume will be 8.85.

Step-by-step explanation:

Answer:

x = 33

Step-by-step explanation:

(x + 13) + (4x + 2) = 180

x + 13 + 4x + 2 = 180

5x + 15 = 180

5x = 180 - 15

5x = 165

x = 165/5

x = 33

Check:

(x + 13) + (4x + 2) = 180

(33 + 13) + 4(33) + 2 = 180

46 + 132 + 2 = 180

46 + 134 = 180

Answer:

probably is 140 or is it just the whole question?

The number of child ticket were sold on Wednesday is 236

The cost of child admission ticket = $6.10

The cost of adult admission ticket = $9.20

Consider the number of child ticket as x and the number of adult ticket as y

Twice times as many adult tickets as child tickets were sold

y = 2x

Then the equation will be

x + y = 707.70

Substitute the value of y in the equation

x + 2x = 707.70

Add the like terms

3x = 707.70

x = 707.70/3

Divide the terms

x = 235.9

x ≈ 236

Therefore, 236 child ticket were sold on that day

I have answered the question in general, as the given question is incomplete

The complete question is:

At the movie theatre, child admission is $6.10 and adult admission is $9.20 . On Wednesday, twice times as many adult tickets as child tickets were sold, for a total sales of $707.70 . How many child tickets were sold that day?

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The perimeter of the rectangle is the length of the boundary of the perimeter of the rectangle. The perimeter of the rectangle is 2(√29+√10).

The perimeter of the rectangle is the length of the boundary of the perimeter of the rectangle.

In order to find the perimeter of the rectangle, we need to find the third side(Hypotenuse) of each triangle, therefore,

In ΔA,

\((Hypotenuse)^2 =(Perpendicular)^2+(Base)^2\)

\(GF^2 = 3^2+1^2\\GF=\sqrt{10}\)

In ΔB,

\((Hypotenuse)^2 =(Perpendicular)^2+(Base)^2\)

\(EF^2 = 2^2+5^2\\EF=\sqrt{29}\)

In ΔC,

\((Hypotenuse)^2 =(Perpendicular)^2+(Base)^2\)

\(GH^2 = 2^2+5^2\\GH=\sqrt{29}\)

In ΔD,

\((Hypotenuse)^2 =(Perpendicular)^2+(Base)^2\)

\(EH^2 = 3^2+1^2\\EH=\sqrt{10}\)

Now, the perimeter of the rectangle is,

\(Perimeter\ EFGH = EF+ GF + GH +EH\)

                              \(=\sqrt{29}+\sqrt{10}+\sqrt{29}+\sqrt{10}\\\\=2\sqrt{29}+2\sqrt{10}\\\\=2(\sqrt{29}+\sqrt{10})\)    

hence, the perimeter of the rectangle is 2(√29+√10).

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Answer: 37

Step-by-step explanation:

: )

Answer:

37

Step-by-step explanation:

60% of the flanges will exceed 0.99 millimeters. 90% of the flanges will exceed a thickness of 1.04 millimeters. The mean is 1.000000 millimeters and the variance is 0.008333 millimeters^2.

To determine the proportion of flanges that exceed 0.99 millimeters, we need to calculate the probability that a randomly selected flange has a thickness greater than 0.99 millimeters. Since the thickness is uniformly distributed between 0.95 and 1.05 millimeters, the proportion can be found by calculating the ratio of the length of the interval above 0.99 to the total length of the interval.

Proportion = (1.05 - 0.99) / (1.05 - 0.95) = 0.06 / 0.1 = 0.6

Therefore, 60% of the flanges will exceed 0.99 millimeters.

To find the thickness that is exceeded by 90% of the flanges, we need to determine the value at which the cumulative distribution function (CDF) reaches 0.9. Since the distribution is uniform, the CDF increases linearly.

Let's denote the thickness as x. The CDF is given by (x - 0.95) / (1.05 - 0.95). We set this equal to 0.9 and solve for x:

(x - 0.95) / (1.05 - 0.95) = 0.9

x - 0.95 = 0.9 * (1.05 - 0.95)

x - 0.95 = 0.9 * 0.1

x - 0.95 = 0.09

x = 0.95 + 0.09

x = 1.04

Therefore, 90% of the flanges will exceed a thickness of 1.04 millimeters.

The mean and variance of the flange thickness can be calculated using the formulas for a uniform distribution. The mean is given by the average of the minimum and maximum values:

Mean = (0.95 + 1.05) / 2 = 1.00 millimeters

The variance is calculated using the formula:

Variance = ((1.05 - 0.95)^2) / 12 = 0.008333 millimeters^2

Rounded to 6 decimal places, the mean is 1.000000 millimeters and the variance is 0.008333 millimeters^2.

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Its speed of Rachel would be 30 meters per second.

Given that,

Stunt driver Rachel is trying to get out of a building that is going to blow up.

Here, the equation is,

\(d = - 38t + 220\)

Where, variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.

Now, Velocity is the rate at which a distance changes over time.

\(d = - 38t + 220\)

\(\dfrac{d(d)}{dt} = - 38\)

Hence, Speed is the magnitude of velocity.

\(|- 38| = 38\)

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Answer: 27people

Step-by-step explanation:

The turkey weighs 9 pounds.

Each member of the family will eat 1/3 of a pound.

If this is the case, the number of people that it would take to finish the turkey will be:

= Weight of turkey / Pounds eaten per person

= 9 ÷ 1/3

= 9 * 3/1

= 27people

Answer:

$10.68

Step-by-step explanation:

The question is incomplete as we were not given the cost of each pizza and each drink.

Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of ​$9.90 how much does each person​ pay? If one large pizza cost $12 and small drink cost $1.5.

Solution:

one large pizza cost = $12

small drink cost = $1.5

3 large pizzas = 3×12 = 36

5 small drinks = 5×1.5 = 7.5

Tip = $9.90

Total cost = 36+7.5+9.9 = $53.4

Total number of people that want to share the cost = Dave and his 4 friends = 4+1 = 5

Each person pays = $53.4/5

Each person pays = $10.68

Answer:

79

Step-by-step explanation:

Order of operations GERMDAS

Grouping: no grouping

Exponents: 9²=81 so 6÷3+81-4

Radicals: no radicals

Multiplication: no multiplication

Division: 6÷3=2 so 2+81-4

Addition: 2+81=83 so 83-4

Subtraction: 83-4=79

Answer:

79

Step-by-step explanation:

6/3+9^2-4             9^2= 81           6/3+81-4                  6/3 = 2                  2+81-4= 79

The prompt provides the position of a child on a circular staircase as she descends from the top of a tower. The child's position in feet and time in minutes are given by a mathematical expression.

The task is to determine the height of the tower.The problem describes the position of a child on a circular staircase, as she descends from the top of a tower. The child's position in feet and time in minutes can be described using a mathematical expression. To determine the height of the tower, we need to use this expression and solve for the unknown variable.

One possible mathematical expression for the child's position is given by:

x(t) = h - r cos(t/2)

where h is the height of the tower, r is the radius of the circular staircase, t is the time in minutes, and x(t) is the child's position in feet from the origin at the base of the tower.

To solve for the height of the tower, we need to find the value of h that satisfies the given expression for all values of t. This can be done by using the initial condition given in the problem: at t=0, the child is at the top of the tower, so x(0) = h.

Thus, we have:

x(0) = h - r cos(0/2) = h - r = 0

Solving for h, we get:

h = r

Therefore, the height of the tower is equal to the radius of the circular staircase.

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Answer:

(3x, 6)

(3, 8)

Step-by-step explanation:

a. Subtracted from the actual physical units to arrive at weighted physical units is -49.6

b. Added to the actual physical units to arrive at weighted physical units is 82.1

The weighted average approach is what?

Explanation:

w= x1w1+x2w2+x3w3

Quizzes                 82     0.2        16.4

Exam                     90     0.35      31.5

Term paper           76     0.65      34.5

a) Weighted average = 16.4 + 31.5 + 34.5  = 82.1

b) Weighted average = 16.4 - 31.5 - 34.5  = -49.6

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Answer:

The average rate of change of the function h(x) over the interval between 2 points (a , h(a)) and (b ,h(b)) is the

slope of the secant line

connecting the points.

It is found using.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

h

(

b

)

−

h

(

a

)

b

−

a

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−

h

(

b

)

=

h

(

2

)

=

2

2

+

3

(

2

)

−

1

=

9

h

(

a

)

=

h

(

0

)

=

−

1

⇒

9

−

(

−

1

)

2

−

0

=

10

2

=

5

This means that the average of all the slopes of tangents between (2 ,9) and (0 ,-1) is 5

The value of C in the given differential equation is found to be -0.21.

The DE y′′(t) + 8y′(t) − 7y(t) = 4\(e^-6t\) has a solution of the form \(Ce^-6t.\)

We need to determine the value of C in either exact form or correct to 2 decimal places.

We are given that the differential equation is

y′′(t) + 8y′(t) − 7y(t) = 4\(e^-6t\)

We assume that the solution to this differential equation has the form:

y(t) = C\(e^-6t\)

We know that the first derivative of y(t) with respect to t is given by:

y′(t) = -6\(e^-6t\)

and the second derivative of y(t) with respect to t is given by:

y′′(t) = 36\(e^-6t\)

Hence, substituting the expressions for y(t), y′(t) and y′′(t) in the differential equation, we get:

36\(e^-6t\) + 8(-6\(e^-6t\)) - 7(\(e^-6t\)) = 4\(e^-6t\)

Simplifying this expression, we get:

\(36Ce^-6t - 48Ce^-6t - 7Ce^-6t = 4e^-6t\)

Simplifying further, we get:-

19\(e^-6t\) = 4\(e^-6t\)

Dividing both sides by\(e^-6t\), we get:-

19C = 4

C = (-4/19)

Therefore, the value of C is

C = -4/19

= -0.21 (approx)

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since the powers are same, ignore 'em , and let's calculate the bases.

-16.(1/2)

-8.1 (upon cancellation)

ans = -8

hope it helps...!!!

Answer:

b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%

c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.

Step-by-step explanation:

Answer:

808

Step-by-step explanation:

First find the volume of the original cylinder. It is given by πr²h:

π * (10.5)² * 63 ≈ 21820.717 cm³

Next find the volume of each cube. It is given by lwh:

3 * 3 * 3 = 27 cm³

Finally, divide the volume of the original cylinder by the volume of each cube to determine the number of cubes:

21820.717 / 27 ≈ 808.1747

Partial cubes are not possible, so the answer is 808.