PLEASE HELP!! THIS IS MY LAST QUESTION PLEASE!!
(Answeer all the problems)

Proved that the remainder when summing digits and dividing by 9 is the same as dividing the number by 9

Let's consider a positive integer n with k digits, which we can write in terms of its digits as

n = d_1 × 10^(k-1) + d_2 × 10^(k-2) + ... + d_k-1 × 10 + d_k

We can then express the sum of the digits of n as

S = d_1 + d_2 + ... + d_k-1 + d_k

We want to show that the remainder when S is divided by 9 is the same as the remainder when n is divided by 9.

First, we can observe that

10 ≡ 1 (mod 9)

Therefore, we can write

10^(k-1) ≡ 1^(k-1) ≡ 1 (mod 9)

10^(k-2) ≡ 1^(k-2) ≡ 1 (mod 9)

...

10 ≡ 1 (mod 9)

Using these congruences, we can simplify the expression for n:

n ≡ d_1 × 1 + d_2 × 1 + ... + d_k-1 × 1 + d_k × 1 (mod 9)

n ≡ d_1 + d_2 + ... + d_k-1 + d_k (mod 9)

n ≡ S (mod 9)

Therefore, n and S have the same remainder when divided by 9.

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False. In the long run, a permanent increase in the price of imported oil can impact the domestic price level and real GDP.

In the long run, a permanent increase in the price of imported oil can have an impact on both the domestic price level and real GDP. An increase in the price of imported oil affects production costs for businesses, leading to higher input costs. This can result in higher prices for goods and services, causing inflationary pressures and impacting the domestic price level.

Additionally, the higher oil prices can affect real GDP by reducing the purchasing power of consumers and increasing production costs for businesses. It can lead to a decrease in consumer spending and a decrease in overall economic output, affecting real GDP in the long run.

Therefore, a permanent increase in the price of imported oil can have consequences for both the domestic price level and real GDP in the long run.

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Answer: 15/16

Step-by-step explanation:

5/4 * (3 * 1/4) =

Mutiply 3 * 1/4

5/4 * 3/4 =

Mutiply 5/4 * 3/4

5/4 * 3/4 = 15/16

Answer:

\(\frac{15}{16}\)

Step-by-step explanation:

\(\frac{5}{4}\cdot \:3\cdot \frac{1}{4}\)

\(\mathrm{Convert\:element\:to\:fraction}:\quad \:3=\frac{3}{1}\)

\(=\frac{5}{4}\cdot \frac{3}{1}\cdot \frac{1}{4}\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}\)

\(=\frac{5\cdot \:3\cdot \:1}{4\cdot \:1\cdot \:4}\)

\(\mathrm{Multiply\:the\:numbers:}\:5\cdot \:3\cdot \:1=15\)

\(=\frac{15}{4\cdot \:1\cdot \:4}\)

\(\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1\cdot \:4=16\)

\(\frac{15}{16}\)

Hence, 15/16 is the correct Answer.

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the graph that adequately fits the description would be a pictograph

because shows a symbol for a word or phrase

Answer:

Step-by-step explanation:

To check for 6 - Number should be Divisible by 2 and 3

4186650 is divisible by 2 % 3

To check for 8 - Las Three digits should be taken as a number and be checked if its divisible my 8

4186650 / 4 = 165.5

So the number is not divisible by 8

To check for 11 - we need to add the odd places and the even places and then subtract them both. if the answer is 11 or 0 then its divisible

4 + 8 + 6 + 0 = 19

1 + 6 + 5 = 12

19 - 12 = 7

So the number is not divisible by 11

Hope you are clear

Answer:

angle a = 70

angle b = 45

angle c = 65

Step-by-step explanation:

The *n will have exactly three distinct elements for 5 distinct integers .

In the question ,

it is given that ,

the set *n is =  {n - 2, n + 2, 2n, n/2} ,

we have to find that for how many distinct integers does *n will have exactly three distinct elements .

we know that *n will have exactly three  distinct elements if exactly 2 of the elements of {n - 2, n + 2, 2n, n/2} are same .

Solving the two equations one by one ,

we get ,

If n-2 = n+2 ;

n - n = 2 + 2

0 = 4 , So , No Solution .

if n - 2 = 2*n

2n - n = -2

So ,n = -2

if n - 2 = n/2 ,

2(n - 2) = n

2n - 4 = n

2n - n = 4

So , n = 4

If n+2 = 2n ,

2n - n = 2 , So , n = 2 .

if n + 2 = n/2 ,

then n = -4 .

If 2n = n/2 ,

then n = 0,

So , the integers are -4 , -2 , 0 , 2 , 4 .

Therefore , there will be 5 distinct integers .

The given question is incomplete , the complete question is

Suppose that *n = {n - 2, n + 2, 2n, n/2}. For example, *6 = {3,4,8,12}.  for how many distinct integers does *n have exactly three distinct elements ?

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Answer:

The picture

Step-by-step explanation:

I hope this helped

Answer:3x4=x

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.Draw a mirrorline across y = 1 (Another way of saying that is draw a horizontal line through where y = 1)

2.For every single point of the shape, count the number of squares away that is from the mirror line on the graph, and from the mirror line go downwards by the amount of squares that you just counted from the mirrorline. Finally plot that point you reached with a cross and do the same with every point of the shape

3. Join all the cross together and there is your reflected shape.

*Extra Information*

If this was x = 1 instead of y = 1 you would reflect the shape horizontally instead of vertically (Youll see what i mean when the shape is reflected)

The new coordinates are (2, -2), (4, -2), and (2, -5) after reflection over y = 1

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have vertices of the triangle shown in the picture.

The reflection over y = 1

(x, y)-->(x, 2 - y)

(2, 4)-->(2, -2)

(4, 4)-->(4, -2)

(2, 7)-->(2, -5)

Thus, the new coordinates are (2, -2), (4, -2), and (2, -5) after reflection over y = 1

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The relative maxima and minima of the function g(x) are at the point (-4, 22) at the local maxima and at point (4,-124) at the local minima.

Given:

Function g(x) = x^3 - 48x + 4

Take the derivative and set it equal to zero

3x^2 - 48 = 0

x^2 = 48/3 = 16

x = sqr16 = ±4

At x=+4, y = (4)^3 -48(4) + 4 = 64 -192+4 = -124

Point (4,-124) is a local or relative minimum

At x-4 y=(-4)^3 -48(-4)+4 = -64 + 192 + 4 = 122

The point (-4, 22) is a local or relative maximum

Refer to this complete question:

Find the relative maxima and minima, if any, of the function. (If an answer does not exist, enter DNE.) f(x) = x3 − 48x + 4 relative maximum (x, y) = relative minimum (x, y) =?

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The acceleration of the mass at time t=1 is approximately -19.42 inches/second^2.

To find the velocity and acceleration of the mass attached to a vertical spring at time t=1, we need to differentiate the position function with respect to time.

First, we can find the velocity function v(t) by taking the derivative of the position function s(t) with respect to time t:

v(t) = s'(t) = 5cos(2t) * 2 = 10cos(2t)

Plugging in t=1, we get:

v(1) = 10cos(2) ≈ -3.42 inches/second

Therefore, the velocity of the mass at time t=1 is approximately -3.42 inches/second.

Next, we can find the acceleration function a(t) by taking the derivative of the velocity function v(t) with respect to time t:

a(t) = v'(t) = -20sin(2t)

Plugging in t=1, we get:

a(1) = -20sin(2) ≈ -19.42 inches/second^2

Therefore, the acceleration of the mass at time t=1 is approximately -19.42 inches/second^2.

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Total cost in single service crew is greater than double service crew. So, double service crew is cheaper.

We have, a crew of mechanics at the highway department garage repair vehicles. In case of poisson distribution,

λ = 3 vehicles every 12 minutes

= 3×60/12 = 3× 5

λ = 15 vehicles per hour

When time distribution is approximates an exponential distribution,

The mechanic crew can service an average, μ = 3 vehicles every 10 minutes

μ = 3×60/10 = 18 vehicles per hour

Cost for one service crew =$150 per hour

Cost associated with lost productivity from the breakdown or wait cost

=$50 per hour

For single crew, number of vehicles out of cost, Lₛ = 15/(18 - 15) = 15/3 = 5

Single service crew cost = $150 per hour

wait cost = $5×50 = $250 per hour

Total cost = $400 per hour

For double service crew, Number of vehicles out of service cost = 15/(36 - 15)

= 15/21 = 0.7143

Double service crew cost = 2× $150

= $300

Wait cost = $0.7143×50 = $35.715

Total cost = $335.715 per hour

As we see, the double service crew is cheaper.

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Answer:

dont u need a picture so we  can answer

Step-by-step explanation:

Answer:

sqrt(6) > sqrt(2)

Step-by-step explanation:

True, ax=b requires only one solution to be homogeneous. If ax=b is consistent, the ax=b solution set is acquired by translating the ax=0 solution set.

A two-linear equation system can have one solution, an infinite number of solutions, or even no solution. The number of solutions distinguishes equation systems.

Some key features regarding the consistent are-

Therefore, if the equation ax=0 has a trivial solution, the columns of the a matrix A are linearly independent.

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If he water in Earth’s oceans has a volume of about 3.2x10⁸ cubic miles, it would take 3.52x10²⁰ gallon jugs to hold all the water in Earth's oceans.

To calculate how many gallon jugs it would take to hold all the ocean water on Earth, we need to multiply the volume of the water by the conversion factor from cubic miles to gallons.

Given that the water in Earth's oceans has a volume of about 3.2x10⁸ cubic miles and there are about 1.1x10¹² gallons in 1 cubic mile, we can calculate the total number of gallons using the following equation:

Total gallons = (Volume in cubic miles) x (Gallons per cubic mile)

Substituting the given values, we get:

Total gallons = (3.2x10⁸) x (1.1x10¹²) = 3.52x10²⁰

This number is very large and is written in scientific notation to make it more manageable. Scientific notation is a compact way of writing very large or very small numbers using a power of ten. In this case, the number is expressed as a coefficient (3.52) multiplied by 10 raised to the power of 20 (10²⁰).

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8. Yes, it makes sense to combine a brittle and a ductile material to create a new material to serve a structural purpose because a ductile material is capable of withstanding higher strain values, but the brittleness in the material can cause the material to break under high tensile stresses, while the brittle material will be able to withstand higher compressive stresses.

9.  If a material deforms considerably, it does not necessarily mean that the material has failed. Material failure is caused by one of three conditions: Yielding, Fracture, and Buckling. Deformation of material is a common phenomenon and it is natural for materials to deform under load.  

10. Poisson and Young's contributions to engineering are immense, and they have been crucial to the development of many fields of study.

Below are ten bullet points that summarize why Poisson and Young were so important for engineering:

1. Augustin Louis Cauchy invited Poisson to become a professor at École Polytechnique, where he began teaching analysis and mathematical physics.

2. Poisson was the first to develop mathematical methods for solving wave problems.

3. Young was the first to introduce the term elasticity.

4. Young's experiments with tensile stress laid the groundwork for modern structural engineering.

5. Young was the first to publish an equation relating to the deformation of a solid under load.

6. Poisson developed a theory on the elastic limit of a material that remains in use today.

7. Young was the first to use the term stress.

8. Poisson introduced the concept of electrical potential.

9. Young was the first to explain the phenomenon of diffraction.

10. Poisson made important contributions to the study of electrostatics and fluid dynamics.

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Answer:

I provided an attachment

Step-by-step explanation:

Answer:

19.43

Step-by-step explanation:

This is a trick for you.

Make the numbers to become whole numbers(1474+469)

After adding the whole numbers,the decimal point were 2 so,move 2jumps from the right to the left which will give you 19.43 as your answer.

The limit of the fraction as x approaches 3 is 4.

We can use algebraic manipulation to simplify the fraction.

StartFraction x squared minus 12 Over x squared minus 3 x EndFraction

= StartFraction x squared minus 12 Over x squared minus 3 x EndFraction x squared

= StartFraction x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction

= StartFraction x squared times x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction

= StartFraction x to the fourth minus 12 x squared Over x squared times x squared minus 3 x EndFraction

Now we can plug in x = 3 to get the limit:

= StartFraction 3 to the fourth minus 12 x 3 squared Over 3 squared times 3 squared minus 3 x EndFraction

= StartFraction 81 - 36 Over 27 - 9 EndFraction

= StartFraction 45 Over 18 EndFraction

= 4

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Answer:

  a) 48 gigabytes

  b) 250 minutes, or 4 hours 10 minutes

Step-by-step explanation:

For D(t) = 75 -0.3t modeling the number of remaining gigabytes to download after t minutes, you want to find D(90) and t such that D(t) = 0.

  D(90) = 75 -0.3·90 = 48

After 90 minutes, 48 gigabytes are left to download.

The time required to complete the entire download is given by ...

  0 = 75 - 0.3t

  0 = 250 -t . . . . . divide by 0.3

  t = 250 . . . . . . add t

It will take 250 minutes, or 4 hours 10 minutes to download the entire game.

__

Additional comment

The attached calculator screen shows conversion to hours and minutes. Hours, minutes, seconds are computed "base-60" the same way that Degrees, minutes, seconds are computed "base-60". 250 minutes is converted to hours by dividing by 60 min/hour. We can use the →DMS function of the calculator to show decimal or fractional hours in hours : minutes : seconds. In this use of that function, degrees represents hours.

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Answer:

17$

Step-by-step explanation:

Answer:

$17

Step-by-step explanation:

Since the discount is 15%, and 100% would be the full price, 100 - 15 = 85. You are paying 85% of the price. 20 * .85 = 17.

the volume of the conical section is approximately 604.8 cubic inches. we need to use volume formula of conical section to get the answer

what is conical section ?

A conical section is a geometric shape formed by the intersection of a plane with a cone. A cone is a three-dimensional geometric shape that has a circular base and tapers to a point, while a plane is a two-dimensional flat surface that extends infinitely in all directions.

In the given question,

To find the volume of a conical section, we need to use the formula:

Volume = (1/3) x π x r² x h

where r is the radius of the circular base of the cone, h is the height of the conical section, and π is the constant pi (approximately 3.14159).

In this case, we are given the diameter of the base of the cone, which is 12 inches. We can use the formula to find the radius:

r = d/2 = 12/2 = 6 inches

We are also given the height of the conical section, which is 14 inches. We can now plug these values into the formula:

Volume = (1/3) x π x r² x h

Volume = (1/3) x π x 6² x 14

Volume = (1/3) x π x 36 x 14

Volume = 604.8 cubic inches (rounded to one decimal place)

Therefore, the volume of the conical section is approximately 604.8 cubic inches.

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