compare -9?8 math what is it

Answers

Answer 1

When we compare the two numbers the value of -9 < 8.

What is a number line?

When numbers are arranged in a straight line with rising or decreasing values from left to right or right to left, respectively, it is called a number line. A number line may be stretched endlessly in any direction and can be used to represent both positive and negative integers.

Finding out whether number is larger or smaller than another or more numbers is the process of comparing numbers. Numbers to the right of a number line are higher than those to the left. The absolute value of the difference between the numbers at any two places on a number line is the distance between them.

The given numbers are -9 and 8.

We know that -9 lies on the left of the number line, whereas 8 lies to the right.

Hence, when we compare the two numbers the value of -9 < 8.

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Related Questions

A school district is planning a banquet to honor its teachers of the year and raise money for its scholarship foundation. The budget to hold the banquet in a hotel ballroom is at most $3,375. The venue can hold no more than 125 guests. The cost is $45 per adult but only $15 per student because the caterer offers a student discount.

What system of inequalities can represent this situation? Let x be the number of adult guests and y be the number of student guests.

Drag the tiles to the correct locations in the system. Not all tiles will be used.

A school district is planning a banquet to honor its teachers of the year and raise money for its scholarship

Answers

Answer:

\(x + y = 3325 \\ i \:hope \: it \: helps\)

Help!!! A business can manufacture 50 unicycles a week and sell all of them for $200 each. The owner is considering increasing the price of the unicycles, but she knows that it will decrease sales. She uses this equation to estimate how much in dollars, y, she will make if she raises the price by x dollars:

y=10,000+50x−x^2
If she wants to make $10,6000, what is the least amount she can raise the price of each unicycle?

Answers

Answer:  20 dollars

=====================================================

Explanation:

I'm assuming you meant to write $10,600 instead of $10,6000.

We'll replace y with this value and solve for x.

\(y=10,000+50x-x^2\\\\10,600=10,000+50x-x^2\\\\0=10,000+50x-x^2-10,600\\\\-x^2+50x-600 = 0\)

Use the quadratic formula with a = -1, b = 50, c = -600

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-50\pm\sqrt{(50)^2-4(-1)(-600)}}{2(-1)}\\\\x = \frac{-50\pm\sqrt{100}}{-2}\\\\x = \frac{-50\pm10}{-2}\\\\x = \frac{-50+10}{-2} \ \text{ or } \ x = \frac{-50-10}{-2}\\\\x = \frac{-40}{-2} \ \text{ or } \ x = \frac{-60}{-2}\\\\x = 20 \ \text{ or } \ x = 30\\\\\)

We go for the smaller x value because the question asks "what is the least amount she can raise the price?".

If she raises the price by $20, then she would estimate to make about $10,600.

Michelle wants to start a babysitting club and decides to call a meeting. As a thank you to everyone for coming she decides to order pizza. She orders two large pepperoni and two extra-large cheese pizzas and the total comes to $30.00. When the delivery person arrives she hands him a $50.00 bill. How much change should she get back? If she tipped the delivery person 10% how much would she get back?

Answers

Answer:

I am not sure if my math is correct but I got $15 dollars in change.

Step-by-step explanation:

$50 times 0.10 (10%) equals $5. $50.00 minus $30.00 is $20.00. $20 minus $5 is $15.

Solve each equation for the variable then state the slope and y intercept and graph each horizontal or vertical line.

Solve each equation for the variable then state the slope and y intercept and graph each horizontal or

Answers

Based on the formulas given, the slope and the y intercepts are:

15. m = 1; b = 5

16. m = 1.5; b = 2

17. m = -2; b = 2

18. m = 1; b = 2

What are the slopes and y-intercept?

A linear expression takes the form:

y = mx + b

m = slope

b = y-intercept

15. y - 4 = x + 1

y = x + 1 +4

y = x + 5

m = 1

b = 5

16. 2y + 1 = 3x + 5

2y = 3x + 4

(2y = 3x + 4) / 2

y = 1.5x + 2

m = 1.5

b = 2

17. 2(x - 1) = -y

y = -2x + 2

m = -2

b = 2

18. 2y - 4 = 2x

2y = 2x + 4

(2y = 2x + 4) / 2

y = x + 2

m = 1

b = 2

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Write out the form of the partial fraction decomposition of the function (See Example 1). Do not determine the numerical values of the coefficients. (If the partial fraction decomposition does not exist, enter DNE. Use only the first few required letters of the alphabet, in capitals.) (a) x2 + x 12 Write out the form of the partial fraction decomposition of the function (See Example C). Do not determine the numerical values of the coefficients. (If the partial fraction decomposition does not exist, enter DNE.) Use only the first few required letters of the alphabet, in capitals. (a) X4 +1 25 + 623 3 (b) (x2 – 9)2

Answers

The form of the partial fraction decomposition of the given functions are: Partial fraction decomposition

x² + x + 12(ax + b) / (x² + x + 12)x⁴ + 1 / ((25 + 623³)) [Ax + B]/ (x² + 1) + [Cx + D] / (x² - 1)(x² – 9)² [A / (x - 9)] + [B / (x - 9)²] + [C / (x + 9)] + [D / (x + 9)²]

Given function is x² + x + 12, we are to write out the form of the partial fraction decomposition of the function and not to determine the numerical values of the coefficients.

Partial fraction decomposition of the given function x² + x + 12 is:  

x² + x + 12 = (ax + b) / (x² + x + 12)

Where a and b are constants.

We are also given another function which is:

(a) X⁴ +1 25 + 623 3

To write out the form of the partial fraction decomposition of the function, it is important to factorize the denominator of the function in order to determine the form of the partial fraction decomposition.

The factors of x⁴ + 1 can be obtained as: (x² + 1)(x² - 1) = (x² + 1)(x + 1)(x - 1)

Therefore, the partial fraction decomposition of x⁴ + 1 / ((25 + 623³) is given as:

(x⁴ + 1) / ((25 + 623³)) = [Ax + B]/ (x² + 1) + [Cx + D] / (x² - 1)(b) (x² – 9)²

To write out the form of the partial fraction decomposition of the function, we will consider the factors of the denominator.

The factors of (x² - 9)² can be obtained as:

(x - 9)² (x + 9)²

Therefore, the partial fraction decomposition of (x² – 9)² is given as:

(x² – 9)² = [A / (x - 9)] + [B / (x - 9)²] + [C / (x + 9)] + [D / (x + 9)²]

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The  answer is:

\((x² – 9)² = (A / x + 3) + (B / (x + 3)²) + (C / x – 3) + (D / (x – 3)²)\)

(a) x² + x + 12

Partial fraction decomposition is the process of expressing a fraction that contains a polynomial of the numerator and a polynomial of the denominator as the sum of two or more fractions with simpler denominators. By using partial fraction decomposition, it is possible to integrate many rational functions.To write out the form of the partial fraction decomposition of the function x² + x + 12, first, we need to factorize the denominator. In this case, we cannot factorize x² + x + 12 into linear factors with real coefficients. Therefore, the partial fraction decomposition does not exist, and the answer is DNE.(b) (x² – 9)²We can factorize the denominator of (x² – 9)² to obtain\((x² – 9)² = (x + 3)²(x – 3)²\)Now, we can express the function as(x² – 9)² = (A / x + 3) + (B / (x + 3)²) + (C / x – 3) + (D / (x – 3)²)By solving for the constants A, B, C, and D, we can obtain the numerical values of the coefficients.

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A man bought 2 pounds of coffee and 1 pound of butter for a total of $11.25. A month later, the prices had not changed (this makes it a fictitious problem), and he bought 3 pounds of coffee and 2 pounds of butter for $18.50. Find the price per pound of both the coffee and the butter.

Answers

Answer: See explanation

Step-by-step explanation:

Let the price per pound of coffee be c

Let the price ce per pound of butter be b.

We can form an equation based on the information given and this will be:

2c + b = 11.25 ....... i

3c + 2b = 18.50 ....... ii

From equation i, b = 11.25 - 2c ..... iii

Put the value of b into equation ii.

3c + 2b = 18.50

3c + 2(11.25 - 2c) = 18.50

3c + 22.50 - 4c = 18.50

-c = 18.50 - 22.50

c = 4.00

A pound of coffee cost $4.00

Since b = 11.25 - 2c .

b = 11.25 - 2(4.00)

b = 11.25 - 8.00

b = 3.25

A pound of butter costs $3.25

x + 4 =
A 2
B. 10
C. 11
D. 24

Answers

Answer:

please the question is not complete oo

how do you work out the profit as a percentage of the cost price?
also, could you explain how to find the best value of a price? TYSM!!

Answers

Answer:

Step-by-step explanation:

To work out the profit as a percentage of the cost price, you can use the following formula:Profit percentage = (Profit / Cost price) x 100%For example, if you bought an item for $50 and sold it for $70, the profit would be $20. To find the profit as a percentage of the cost price, you would use the formula above:Profit percentage = (20 / 50) x 100% = 40%So in this example, the profit as a percentage of the cost price is 40%.To find the best value of a price, you need to consider both the cost and the demand for the item. If the price is too high, people may not be willing to buy it, but if it's too low, you may not make enough profit. The best value is the price that maximizes your profit while still attracting enough customers to make sales.One way to determine the best value is to experiment with different prices and see how they affect sales and profits. You can start with a price that you think is reasonable and then adjust it up or down based on customer feedback and sales data. You can also research the prices of similar items sold by competitors to get an idea of what the market will bear.Ultimately, the best value will depend on factors such as the cost of production, the demand for the item, and the competitive landscape. It's important to find a price that balances all of these factors to maximize your profits and grow your business.

determine which rate should be used to complete the conversion: 12 gallons per hour to gallons per minute.
A. 1 hour per 60 minutes
B. 60 minutes per 1 hour

Answers

B.....................

7x-6y=9
5x+2y=19 Solve the system using elimination.

Answers

Step-by-step explanation:

multiply 5x+2y=19 by 3 youll get 15x+6y=57

eliminate y

7x-6y=9

15x+6y=57 +

22x=66

x=3

substitute x to 5x+2y=19

15+2y=19

2y=4

y=2

Please help! I’ll give brainliest if correct

Please help! Ill give brainliest if correct

Answers

Answer: y=3/2x+3

Step-by-step explanation:

Please help! Correct answers only please!

Please help! Correct answers only please!

Answers

Answer:

5

Step-by-step explanation:

The check digit is the very last digit on the right, the one by itself

5

jdhdusndjskdbkanxjsidnw

Find the order of every element of (Z18, +).

Answers

The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

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1. There are infinite black and white dots on a plane. Prove that the distance between one black dot and one white dot is one unit.
2. How can you drop two eggs the fewest amount of times, without them breaking?

Answers

Answer:

If you click on the link you find a picture which has black dots on a white background. This suggests that we color every point on the plane either white or black, making sure to use infinitely many of each color. With these constraints it is indeed the case that there must be a black point and a white point at unit distance. (In fact, "infinite" can be weakened to nonempty.)

Step-by-step explanation:

Hint: starting with a black point, we're done unless the entire unit circle around that point is black. Now repeat that argument for each point on that unit circle: we've already generated a sizable swathe of the plane colored totally black...

The perimeter of a rectangular garden is 264 m.
If the width of the garden is 56 m, what is its length?
Length of the garden:__m

Answers

The perimeter formula for a rectangle is 2L+2W=P

We have the width and we have the perimeter

Plug those numbers in.

2L+2(56)=264

2(L)+112=264

Subtract 112 from both sides

2L=152

Divide by 2 on both sides

L=76

The length of the garden is 76 meters.

Step-by-step explanation:

Perimeter of garden = 264 m

width of the garden = 56 m

length of the garden = ?

Now..

Perimeter = 2 ( l + b )

264m = 2l + 112

264 - 112 = 2l

152 = 2l

l = 152 / 2

l = 76 m

Hence the length is 76m

\(...\)

please help!!!!! :(((

please help!!!!! :(((

Answers

Answer:

tho im very confused what 1.25 means. im pretty sure its 1 1/4

A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 3 feet less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 9 feet.

Answers

Answer:

15 ft

Step-by-step explanation:

This is another classic case of Pythagoras theorem. To start with, let's assume that the length of the ladder we're looking for is x

We're told that the height of the building the ladder is leaning on is, x - 3

Also we're told that the distance at an adjacent from the ladder is 9 ft.

If we use Pythagoras theorem, we have

x² = (x - 3)² + 9²

x² = x² - 6x + 9 + 81

On rearranging, we have

x² - x² = -6x + 90

6x = 90

x = 90 / 6

x = 15 ft

Therefore, the length of the ladder is found to be 15 ft

Someone explain please

Someone explain please

Answers

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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Have a GREAT day!!!

What is the equation of a circle with center (- 2, 3) and radius 4?

Answers

Answer:

(x+2)^2+(y-3)^2=16

Step-by-step explanation:

equation of a circle ( x - h )^2 + ( y - k )^2 = r^2

[x-(-2)]^2+(y-3)^2=4^2

(x+2)^2+(y-3)^2=16

5. An empty shipping box weighs 8 ounces. The box is then filled with T-shirts. Each T-shirt
weighs 6 ounces. The equation W= 8 + 6x represents the relationship between the quantities
in this situation, where W is the weight, in grams, of the filled box and x represents the number
of shirts in the box. Name two possible equations

Answers

Answer:

Step-by-step explanation:

W-8=6x

W-6x=8

What statement is true about a sine function of the form y=asink(x−d)+c? (check all that apply) The ∣a∣ is the amplitude of the function. The values of a and k are vertical and horizontal stretches. The values of d and c determine the horizontal and vertical translations, respectively. The value of k represents the period of the function. The values of a and c affect the range of the function. y=c is the equation of axis

Answers

The statements that are true about a sine function of the form y = a sin(k(x - d)) + c are:

The ∣a∣ is the amplitude of the function: The absolute value of 'a' represents the amplitude of the function, which is the maximum displacement from the average value or midline.

The values of d and c determine the horizontal and vertical translations, respectively: The value of 'd' determines the horizontal shift or phase shift of the function, while 'c' determines the vertical shift or vertical translation of the graph.

The value of k represents the period of the function: The value of 'k' affects the period of the function. The period is the distance between two consecutive peaks or troughs of the sine function, and it is inversely proportional to 'k'. A larger value of 'k' corresponds to a shorter period.

y = c is the equation of the axis: The value of 'c' represents the vertical translation or shift of the graph. The equation y = c represents the horizontal line (axis) around which the sine function oscillates.

The statements that are not true are:

The values of a and k are vertical and horizontal stretches: The values of 'a' and 'k' do not represent vertical or horizontal stretches. Instead, 'a' represents the amplitude, and 'k' affects the period of the function.

The values of a and c affect the range of the function: The values of 'a' and 'c' do not affect the range of the function. The range of the sine function is determined by the amplitude 'a' and the vertical shift 'c'.

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Find the midpoint of the segment with the given endpoints (-2, 10) and ( - 10,- 12).The midpoint of the segment is(Simplify your answer. Type an ordered pair.)

Answers

Given:

The given endpoints are ( -2,10) and (-10, -12).

Required:

We need to find the midpoint of te given endpoints.

Explanation:

Consider the formua to find the midpoint.

\(midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

Consider the points ( -2,10) and (-10, -12).

\(Substitute\text{ }x_1=-2,x_2=-10,y_1=10,\text{ and }y_2=-12\text{ in the formula,}\)

\(midpoint=(\frac{-2+(-10)}{2},\frac{10+(-12)}{2})\)

\(midpoint=(\frac{-2-10}{2},\frac{10-12}{2})\)

\(midpoint=(\frac{-12}{2},\frac{-2}{2})\)

\(midpoint=(-6,-1)\)

Final answer:

\(midpoint=(-6,-1)\)

six times a certain number increased by 10 is four times the same number

Answers

Answer:

x = -5

Step-by-step explanation:

6x + 10 = 4x

2x = -10

x = -5

Let the number be x,

A/q,

6x+10= 4x

6x-4x=-10

2x=-10

x=-10/2

x=-5

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Help please!!! Numbers 7-9

Help please!!! Numbers 7-9

Answers

The length of AB in triangle number 7 is 13.4, the length of AB in triangle number 8 is 12.5, the length of AC in triangle number 9 is 8.2

How to find the angle of triangle:Determine which two sides, out of the opposite, adjacent, and hypotenuse, we already know.Calculate opposite/hypotenuse for sine, adjacent/hypotenuse for cosine, or opposite/adjacent for tangent.Use either the sin⁻¹, cos⁻¹, or tan⁻¹ functions on your calculator to get the angle.Triangle has total of 180° if we sum all the 3 angles, thus if given two angles, the easiest way is just to subtract 180° with the two angles.

Thus, the angle of the triangle:

Triangle number 7
∠A = 63.3°
∠B = 180° - 63.3° = 26.7°Triangle number 8
∠A = 180° - 56° = 34°Triangle number 9
∠B = 180° - 59° = 31°

How to find the side of the right triangle:If you know two other right triangle sides, applying the Pythagorean theorem is the easiest choice. If we are given an angle and the hypotenuse, get right triangle side lengths using trigonometry or sines.If we are given an angle and one leg, find the missing leg using trigonometry or tangent.

Thus, the length of the triangle:

Triangle number 7
AB = √(6²+12²)
AB = 13.4Triangle number 8
AC = 7 x tan (56°)
AC =  10.4
AB = √(7²+10.4²)
AB = 12.5Triangle number 9
AC = 16 x cos (59°)
AC = 8.2
BC = √(16²-8.2²)
BC = 13.7

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A continuous random variable X that can assume values between x=3 and x=6 has a density functon given by f(x)=
3
1

. (a) Show that the area under the curve is equal to 1. (b) Find P(4 4
6

(
3
1

)dx=
4
6

=1 B. ∫
3
3

(
3
1

)dx=3=1 c. ∫
−[infinity]
[infinity]

(
3
1

)dx=[infinity]
[infinity]
[infinity]

=1 D. ∫
3
6

(
3
1

)dx=∫
3
6

=

Answers

The correct value for the integral , ∫[3, 6] (3/1) dx = 9.

To compute the integral ∫[3, 6] (3/1) dx, we integrate the given density function over the interval [3, 6].

∫[3, 6] (3/1) dx = 3 ∫[3, 6] dx

Integrating the constant function 1 with respect to x gives:

3 ∫[3, 6] dx = 3(x) ∣[3, 6] = 3(6) - 3(3) = 18 - 9 = 9

Therefore, ∫[3, 6] (3/1) dx = 9.

Given the density function f(x) = 3/1, we want to calculate the integral of this function over the interval [3, 6].

The integral is represented as ∫[3, 6] (3/1) dx, where the symbol ∫ represents integration, [3, 6] denotes the interval of integration, (3/1) is the integrand (the function being integrated), and dx represents the differential variable.

To evaluate the integral, we integrate the constant function (3/1) with respect to x. Integrating a constant results in a linear function.

Integrating the constant (3/1) with respect to x gives:

∫(3/1) dx = (3/1) ∫ dx

The integral of dx is simply x. Applying the integration bounds, we get:

(3/1) ∫[3, 6] dx = (3/1) (x) ∣[3, 6]

Evaluating the expression at the upper and lower bounds of integration, we have:

(3/1) (x) ∣[3, 6] = 3(6) - 3(3) = 18 - 9 = 9

So, the result of the integral ∫[3, 6] (3/1) dx is equal to 9.

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Work out 4 1/2 ÷3/5 give your answer as a mixed number in its simplest form

Answers

Answer:

7 1/2

Step-by-step explanation:

yw :)

The total measure of two adjacent angles is 179°. If one of the adjacent angles measures 101.8°, determine the measure of the other adjacent angle.

77.2°
78.2°
191.8°
280.8°

Answers

Answer: 77.2

Step-by-step explanation: 179-101.8=77.2

Write each power as repeated
multiplication. Calculate.
a) 25 c) 106 e) 1.22
b) 253 d) 34 f) 0.42

Answers

Answer:

a) 2⁵ = 2×2×2×2×2

b) 25³ = 25×25×25

c) 10⁶ = 10×10×10×10×10×10

d) 3⁴ = 3×3×3×3

e) 1.2² =1.2×1.2

f) 0.4²=0.4×0.4

Step-by-step explanation:

whats 43.6 rouded to the nest tenth

Answers

Answer:

43.6

Rounded to the nearest 0.1 or

the Tenths Place.

Half the sum of 42 and 16 What is The Expression

Answers

Answer:

i dont understand the question

Step-by-step explanation:

Answer:

(42+16)/2 = 29

Step-by-step explanation:

an expression contains operations and values

half the sum of 42 and 16

(42+16)/2 = x

(42+16)/2 = 29

Other Questions
make an informational sign to display at the nasa educational exhibt explaining punnett squares and probabilty to the public your sign should show the genotypes and phenotypes of the parents it should also explain why this pair was selected also be sure to include the appriote punnett squares to show the predictions for the possible offspring The following materials are polymers:-human skin-vinyl car seat-tree limb-all of the above-human skin and car seat Bakit may history? Explain what is history and its significance. Angela and Theresa visit a sporting goods store to buy a new set of golf clubs. Angela is willing to pay up to $750 for the golf clubs, Theresa is willing to pay up to $850. The price is $575, unfortunately, there is only one set of golf clubs available at the moment! True or false? Please explain Need Help ASAPCite examples of word choices Nazario uses to denote the imagery of Enriques recollection of his sixth unsuccessful attempt to migrate to The United States. Explain how the imagery contributes to a particular narrative element (Nazario 58-64) Enrique's Journey Hi can someone please help me with these questions I'm struggling with them!! Other things being equal, an entrant with a strong reputation can attract adoptions earlier than entrants without strong reputations.True False an injured person has a deep laceration on the arm and is bleeding profusely. the person's face is moist and very pale. you are alone. what should you do first? As a developer, you need frequent access to multiple platforms during the development process. Rather than purchasing and maintaining a separate device for each platform, you have decided to avail the cloud service option. You are looking to build and test the applications within these virtual, online environments, which are tailored to the specific needs of the project. The cloud service model should have servers that provide only the resources needed to run an application and also allow customers to run their code directly in the cloud without having to manage a server environment at all. Which of the following cloud service models do you think would be appropriate considering your requirements?a.IaaSb.DaaSc.PaaSd.SaaS The expression 9(2)5x+10 is rewritten as 9(h)x+2. What is the value of h ?Responses2103250 A Coca-Cola ad that highlights the firm's growing use of recyclable materials and other investments in sustainability is an example of ______ advertising Use integration by parts to evaluate the definite integral: -0.4 4ses ds = 1.3 Report answer accurate to 3 decimal places. of the following, which is not a result of increasing the temperature of a system that includes an endothermic reaction in the forward direction? select the correct answer below: a.the equilibrium constant increases. b.the concentrations of the reactants increase. c.the reaction shifts toward the products. d.the concentrations of the reactants decrease. (1) Jeremy's main goal during summer vacation was to beat his father at chess.(2) Jeremy's father was a very good chess player. (3) Jeremy practiced nightand day, and read everything he could about winning this game. (4) Finally, on thelast day of summer break, he beat his father. (5) He jumped with joy! (6) Hisfather congratulated Jeremy on his win. Which sentence represents the climax?Sentence 1Sentence 2Sentence 3Sentence 4Sentence 5Sentence 6 you work in an organization as a network administrator. one of your new clients owns a hotel and has asked you to provide a single internet connection for every room, but also ensure that the users are not visible to each other. which technology on the switch will you use to meet the requirements stated in the scenario? Please answer,Consider a simple AD-AS model. The MPC = 0.8, the net tax rate t = 0.2, the marginal propensity to import m = 0.14. The aggregate demand function is given by P = 80 - Y, where P is the price level (GDP deflator) and Y is real GDP (billion). The aggregate supply function is given by P = 20 + Y. If the government increased its purchases G by $1 billion, ceteris paribus, what is the increase in equilibrium Y*? if your firm establishes a defensive plan to prevent the firm's weaknesses from making it highly susceptible to external threats, that would be an example of an s-t strategy z 6) If z = ex sin y, where x = s t and y = s t, by using chain rule find at and z s determine whether the following lines intersect the plane 5x-4y-z=-4 .write 5 sentences on the effectiveness of production systems to ensure quality of end product.