Your students have been working on algebra equations involving inequalities. The rule for learning the > sign is:

Answers

Answer 1

The rule for learning the > sign is demonstrating eating with the right hand.

Inequality

The inequality signs are;

Greater than >Let was than <Equal to =Greater than or equal to ≥Less than or equal to ≤

The rule for teaching your students the greater than > sign is by imagining eating with their right hand. The shape of the hand when taking food into the mouth is the greater than sign.

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Related Questions

The image of the point (-7, 8) under a translation is (-11, 6). Find the coordinates
of the image of the point (8, -3) under the same translation.

Answers

Answer:

(4,-5)

Step-by-step explanation:

1/2x + 1/4y = 3 solve for y

Answers

Answer:

y=-2x+12

Step-by-step explanation:

First, subtract 1/2 from each side

1/4y = -1/2x + 3 --> multiply each side by 4

y = -2x + 12 is your final answer

find the square root of 9_4√2

Answers

[tex]\begin{gathered} 9 - 4\sqrt{5} \\ \\ = 4 + 5 - 4\sqrt{5} \\ \\ = (- 2)^2 + (\sqrt{5})^2 + (2 \times - 2 \times \sqrt{5}) \\ \\ = (- 2 + \sqrt{5})^2 \\ \\ = (\sqrt{5} - 2)^2 \\ \\ \\ \therefore \sqrt{9 - 4\sqrt{5}} = \sqrt{5} - 2 \end{gathered}[/tex]

Hope this may be helpful.

Complete the square to write y = 3x2 + 12x + 7 in vertex form, y = a(x - h)2 + k.

Answers

The vertex form of the equation is y = 3(x + 2)^2 - 5

How to complete the square?

The equation is given as:

y = 3x^2 + 12x + 7

Set to 0

3x^2 + 12x + 7 = 0

Subtract 7 from both sides

3x^2 + 12x = -7

Divide through by 3

x^2 + 4x = -7/3

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

Take the coefficient of x

k = 4

Divide by 2

k/2 = 2

Square both sides

(k/2)^2 = 4

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

So, we add 4 to both sides of x^2 + 4x = -7/3

x^2 + 4x + 4 = -7/3 + 4

Express as perfect square

(x + 2)^2 = -7/3 + 4

Multiply through by 3

3(x + 2)^2 = -7 + 12

Evaluate

3(x + 2)^2 = 5

Subtract 5 from both sides

3(x + 2)^2 - 5 = 0

Rewrite as

y = 3(x + 2)^2 - 5

Hence, the vertex form of the equation is y = 3(x + 2)^2 - 5

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Using the tree diagram below, what is the probability of getting tails and an even number?

Answers

Answer:

1/4

Step-by-step explanation:

Chances of getting tails out of all the numbers (including heads)

Totals numbers (including heads & tails): 12

Tails & Even Number: 3

3/12 simplified to 1/4

Solve p/-1+ 17 = 13 for p.

Answers

Answer: 208

Step-by-step explanation:

[tex]\frac{p}{-1+17} =13[/tex]

[tex]\frac{p}{16} =13[/tex]

[tex](16)\frac{p}{16} =13(16)[/tex]

[tex]p=13*16[/tex]

[tex]p=208[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{p}{-1}+17=13 \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply \ the \ properties \ of \ fractions: \frac{a}{-b}=-\frac{a}{b}. } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=-\frac{P}{1} } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply\:the\:rule \:\frac{a}{1}=a} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=-P} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P+17=13} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Subtract \ 17 \ from \ both \ sides. } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P+17-17=13-17} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P=-4} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Divide\:both\:sides\:by\:-1} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{-p}{1}=\frac{-4}{-1} } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P=4} \end{gathered}$}}[/tex]

3. Mr. Black's pay increased by 15% when he got a raise, bringing his new salary to $184. What was Mr. Black's original pay? ​

Answers

Answer:

$160

Step-by-step explanation:

115% = $184

100% = X

let X be the original salary

(X is unknown)

115% = $184

100% = X

cross mutiply

115 x X = 100 x 184

115X = 18400

X = 18400 divided by 115

X = $160

therefore,Mr Black's original salary before increased by 15% was $160

hope am helpful.

184/x = 115/100
184*100=18400
18400=115x
18400/115=160
x=160

Select the correct answer. A new building in the shape of a square pyramid is to be constructed. The slant height will be five times the side length of the base. There will be between 20,000 square feet and 50,000 square feet of construction material used for the outside of the building. What would be the maximum possible side length of the base of the building? Round your answer to the nearest foot. Ο Α. 71 feet OB. 89 feet OC. OD. 45 feet 141 feet​

Answers

From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.

How do you determine the maximum side length?

We are given the following  details  are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b²

The total surface area is calculated using:

T = L + b²

So, we have:

T = 10b² + b²

Evaluate the sum

T = 11b²

Recall that the maximum surface area is 50,000 square feet

So, we have:

11b² = 50000

Divide both sides by 11

b² = 50000/11

Taking the square root of both sides, we have

b = 67.42

Hence, the maximum base length of the building is 67.42 cm

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Nathan shares out 12 sweets he gives yasmin 1 sweet for 3 sweets he buys how many sweets does nathan get

Answers

Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.

How many sweets does Nathan gets?

Given that, Nathan shares out 12 sweets, he gives Yasmin 1 sweet for 3 sweets he buys.

Let the sweet be represented by x

For each x sweet for Yasmin, Nathan gets 3x sweets

Hence

x + 3x = 12

We solve for x

4x = 12

x = 12/4

x = 3

Hence;

Yasmin gets x sweet = 3

Nathan gets 3x sweets = 3 × 3 = 9

Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.

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A blimp is flying at a speed of 40mph and going in a direction of 80 degrees. After 3 hours of flying it turns and travels 1 hour in a direction of 350 degrees. How far is the blimp from its starting location and in what direction?
I need a triangle drawing too please.

Answers

Bearing is a topic that can be used to locate the position of an object at a given time. Therefore, the blimp is 80 m far away from its starting point. And in the North-East direction.

The speed of an object relates the distance it covers to the time taken to cover the said distance.

i.e speed = [tex]\frac{distance}{time taken}[/tex]

⇒ distance = speed x time taken

In the given question, the initial distance covered can be determined as;

distance = 40 mph x 3 h

              = 120 m

The final distance covered can be determined as;

distance = 40 mph x 1 h

              = 40 m

Let the distance from its starting point to its final location be represented by x.

Thus applying the Cosine rule, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2abCos C

[tex]x^{2}[/tex] = [tex]120^{2}[/tex] + [tex]40^{2}[/tex] - 2(120 x 40) Cos 90

   = 14400 + 1600 - 9600

[tex]x^{2}[/tex] = 16000 - 9600

   = 6400

x = [tex]\sqrt{6400}[/tex]

 = 80

x = 80 m

Therefore, the distance of the blimp from its starting point to its final destination is 80 m.

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A sphere has a radius of 5.4 yards. Find its a. volume and b. surface area. Use 3.14 for π. Round the answers to the nearest hundredth.

Answers

Answer:

sorry the drawing is messy, not used to drawing with just a finger haha! hope this helps<<3

On 1st January 2014, Rs1,000,000 was invested and on 1st January of each
successive year Rs500,000 was added to it. What sum will be accumulated by
31st December 2018 if interest is compounded each year at 10% per annum?

Answers

The sum accumulated by 31st December 2018 is Rs 4,163,060.00

What is future value?

Future value is the accumulated amount that investments would yield in future period when the amounts invested are added with the total interest earned.

Note in this case that Rs500,000  would be invested subsequently for 4 years( 2015-2018 , January 1st of each year)

We can determine the future value of each investment using the future value formula shown below:

FV=PV*(1+r)^N

PV=amount invested

r=interest=10%

N=number of years that an amount is invested(for instance, the amount invested on 1st January 2014 will earn interest in 2014,2015,2016, 2017 and 2018 i.e. for 4 years)

Total FV=1,000,000*(1+10%)^5+500,000*(1+10%)^4+500,000*(1+10%)^3+500,000*(1+10%)^2+500,000*(1+10%)^1

Total FV=Rs 4,163,060.00

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Triangle L N M is shown. Angle L N M is 90 degrees and angle N M L is 20 degrees. The length of L N is 21.
Use the diagram to complete the statements.

The measure of angle L is
°.

The trigonometric ratio that uses ∠M and LN to solve for NM is
.

The length of NM, to the nearest tenth, is approximately
.

Answers

Angle L: 70°

The trigonometric ratio used to solve for NM is the tangent ratio.

NM = 57.7 [nearest tenth]

How to Apply the Trigonometric Ratios?

Using the triangle sum theorem, find angle L.

Angle L = 180 - 90 - 20 = 70°

Using the tangent ratio, we can use  ∠M and LN to solve for NM

Tan 20 = 21/NM [tan ∅ = opposite/adjacent]

NM = 21/tan 20

NM = 57.7 [nearest tenth]

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Answer:

70, tangent, 57.7

Step-by-step explanation:

The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been
decreasing since the year 2000:
According to the model, how many marriage licenses were issued in 2003? Round your answer to the nearest hundred.
You must find the linear regression equation first.

Answers

The number of marriage licenses were issued in 2003 is 21586.

According to the statement

we have to find the number of marriage licenses were issued in 2003

and the given equation is y=3.405x^2-17674x+21533000

And in this equation x represent the time

And Y represent the number of marriage certificate issued.

So, in given equation

y=3.405x^2-17674x+21533000

we fill the value of X and find the value of Y means tne number of marriage license is issued in 2003

We know that X = 3 from 2000 to 2003

Then put X=3 in the given equation.

Then

This is the equation (1) represent the change

y=3.405(3)^2-17674(3)+21533000 -(1)

y = 30.645+53022+21533000

y = 21586052.645

On nearest hundred the value becomes 21586.

So, The number of marriage licenses were issued in 2003 is 21586.

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DISCLAIMER: The question was incomplete. please find the full content below.

QUESTION:

According to the model, how many marriage licenses were issued in 2003? Round your answer to the nearest hundred.

The number of marriage licenses issued by Clark county Nevada, the county where Las Vegas is located, has been decreasing since the year 2000. This can be modeled by y=3.405x^2-17674x+21533000 where x is the year and y is the number of marriage licenses issued.

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Answer: A. 137,000

Step-by-step explanation: I did the quiz.

Find the missing side of the triangle. pythagorean 4 A. 337‾‾‾‾√ km B. 5‾√ km C. 193‾‾‾‾√ km D. 112‾√ km

Answers

The missing side in the given triangle is x = √193 km

Pythagoras theorem

The Pythagoras theorem is expressed as;

x^2 = a^2 + b^2

where

x is the longest side

Substitute the given side

x^2 = 12^2 + 7^2

x^2 = 144 + 49

x = √193 km

Hence the missing side in the given triangle is x = √193 km

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What is the name of the green segment in the hyperbola below?
A. Minor axis
OB. Transverse axis
OC. Major axis
OD. Directrix

Answers

The answer should be OC. Major Axis

Use the Associative Property to find the value of the variable.
(8 x 15) x s = 8 x (15 x 11)

Answers

Answer:

hey its me again so the answer is 11.

I'm sure because I did this.

Which statement describes the graph of y + 2 ≥ –4(x – 3)2? a parabola opening up, with shading above the vertex a parabola opening up, with shading below the vertex a parabola opening down, with shading above the vertex a parabola opening down, with shading below the vertex

Answers

Option C. The statement that describes the graph of the equation y + 2 ≥ –4(x – 3)2 is a a parabola opening down, with shading above the vertex.

How to describe the shape of the parabola.

To do this you have to create a graph of the equation as seen in the attachment.

From the attachment we can see that the parabola is shaped downwards while we have the shading to be at the top of the vertex.

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Solve the quadratic equation by graphing it. Select all possible answers.
[tex]y=x^2+8x+12\\x=?[/tex]
Possible answers:
-6
6
-8
2
-2
8
No real solutions

Answers

The solutions to the given quadratic equation are x = -6 and x = -2

Quadratic equations

From the question, we are to solve the given quadratic equation

The given equation is

y = x² + 8x + 12

To solve the equation, we will set it equal to 0

That is,

x² + 8x + 12 = 0

Solving

x² + 8x + 12 = 0

x² + 2x + 6x + 12 = 0

x(x +2) +6(x + 2) = 0

(x +6)(x + 2) = 0

x +6 = 0 OR x +2 = 0

x = -6 OR x = -2

Hence, the solutions to the given quadratic equation are x = -6 and x = -2

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Attached as an image below.

Answers

The formula for the squirrel population is P(t) = 400 e^0.5t and the doubling time of the population is 17. 68 years

Growth constant


The growth constant k can be defined as the frequency or also known as the number of times per unit time of growing by a factor

it is also called the logarithmic return, compounded return, or the force of interest.

Note that the general formula for growth rate is given as;

[tex]P(t) = P0 e^k^t[/tex]

Where,

Po =  Initial value = 400 squirrels

r = Rate of growth

k = constant of proportionality = 0. 5 per year

t = time = 1 year

The function P(t) is given as;

P(t) = 400 e^0.5t

Note that the formula for doubling time is given as;

[tex]TD = t \frac{In 2}{In 1 + r/ 100}[/tex]

r = 4

t = 1

substitute into the formula

[tex]TD = 1 \frac{0. 693}{0. 0392}[/tex]

Doubling time  = 1 × 17. 68

Doubling time = 17. 68 years

Thus, the formula for the squirrel population is P(t) = 400 e^0.5t and the doubling time of the population is 17. 68 years

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Calculate the perimeter and area of this shape.
Perimeter =
Area =
7.5 cm
6 cm
2 cm
3 cm
2 cm

Answers

area = 25.5 cm²

Step-by-step explanation:

i have shown in the image you have to rotate it to see how i worked the area out

i am very sorry i cant work the perimeter out since i have no idea what the length of the two sides of the triangle are . if you need help on understanding how i worked out the area please let me know .

hopefully i was able to help you in half of the question i am sorry for not helping on the perimeter :)

Answer:

Step-by-step explanation:

Perimeter=25

3 + b/d

HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Fractions are mathematical expressions that relate two numbers as a quotient. Thus the answer to this question is:  [tex]\frac{3d + b}{d}[/tex]

Fractions are expressions in a form of a quotient that relates one number to another number. The two numbers can be classified as either the numerator or the denominator. The number above the division line is the numerator, while that below the line is the denominator. Some types of fractions are proper fractions, improper fractions, and mixed fractions.

A given fraction can undergo basic arithmetic operations when two or more are involved. Also, a fraction can be added to one another, or subtracted from a whole number.

The given expression in the question involves the addition of a whole number (3), to a fraction (b/d).

Given: 3 + b/d

The LCM is d, thus;

3 + b/d = [tex]\frac{3d + b}{d}[/tex]

Therefore, the required answer is: [tex]\frac{3d + b}{d}[/tex]

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22. Chris bought a new car for $12,500. He made a $3,000 down payment and financed the rest at an annual interest rate of 14.5% for 36 months (3 years). How much less would his total interest be for the same loan for 24 months (2 years)? A. $1,387.50 B. $1,377.50 C. $1,367.50 D. $1,357.50​

Answers

Answer:

Step-by-step explanation:

Purchase price (A) : $12,500

Down Payment (B): $3,000

Loan Taken (C = A - B):  $9500

D :  Interest calculation for $9,500 for 3 years P(1 + rt)

= 9500(1 + (14.5/100) * 3)

= 9500(1 + 0.145 * 3)

= 9500 * 1.435

= $13632.5

E : Interest calculation for $9,500 for 2 years P(1 + rt)

= 9500(1 + (14.5/100) * 2)

= 9500(1 + 0.145 * 2)

= 9500 * 1.29

= $12,255

Difference between D - E

= $13632.5 - $12,255

= $1377.5

Hence the answer is B i.e. $1377.5 less interest for same amount of load for 2 years vs 3 years

The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and a standard deviation of 0.02 inch. What is the probability that the diameter will exceed 0.92 inch? (You may need to use the standard normal distribution table. Round your answer to three decimal places.)

Answers

The probability that the diameter of the electric cable that is normally distributed will exceed 0.92 inch is 0.841

What is probability?

Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events

How to determine the probability?

The given parameters are:

Mean = 0.9

Standard deviation = 0.2

Calculate the z-score at x = 0.92 using

[tex]z = \frac{x - \mu}{\sigma}[/tex]

This gives

z = (0.92 - 0.9)/0.02

Evaluate the numerator; subtract 0.9 from 0.92

z = 0.02/0.02

Divide 0.02 by 0.02. This gives

z = 1

The probability is then represented as:

P(x > 0.92) = P(z > 1)

Next, we look up the value of the z table of probabilities

From the z table of probabilities, we have:

P(x > 0.92) = 0.841

Hence, the probability that the diameter of the electric cable that is normally distributed will exceed 0.92 inch is 0.841

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A candy company designs a package to hold chocolates. The height of the container is 13 inches and the diameter of its bottom is 9 inches. Diagram shows a shape with circular base and curved surface meeting at a point. The diameter of the base is labeled 9 inches and the height of the shape is labeled 13 inches. Which shape best models the package, and what is the approximate surface area of the package? The best model for the package is a . The approximate surface area is square inches.

Answers

The best model for the package is a cone and the approximate surface area is 258 square inches.

How to illustrate the information?

From the information given, it was stated that the diagram shows a shape with circular base and curved surface meeting at a point. The diameter of the base is labeled 9 inches and the height of the shape is labeled 13 inches.

In this case, the information given about the diagram shows that it's a cone.

Also, given the information, the total surface area of the cone that has a slant height and diameter is given as:

= π(d/2)(d/2 + l)

In such a situation, it should be noted that d represents the diameter in the question. The surface area is the total area that's covered by its surface.

Therefore, the best model for the package is a cone and the approximate surface area is 258 square inches.

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Darcy read her thermometer in the morning and the
temperature was -2° C. In the afternoon the same
thermometer showed a temperature of -5° C.
Which of the following is true?
The temperature was 3 degrees warmer in the afternoon.
The temperature was 3 degrees colder in the afternoon.
The temperature was 7 degrees colder in the afternoon.
The temperature was 7 degrees warmer in the afternoon.

Answers

Answer:

The temperature was 3 degrees colder in the afternoon

Step-by-step explanation:

numbers on the left of zero on the number line are arranged in decreasing order and as such -2 is greater than -5.

The true statement is The temperature was 3 degrees colder in the afternoon.

What is temperature?

Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measured with a thermometer.

Given that, Darcy read her thermometer in the morning and the temperature was -2° C. In the afternoon, the same thermometer showed a temperature of -5° C.

-2-3 = -5

We see, that, the temperature is falling from -2 to -5, that means, there was a fall in temperature from morning to afternoon.

Hence, the temperature was 3 degrees colder in the afternoon.

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Use the list method to write "the perfect square integers between 1 and 80 inclusive".

Answers

Answer:

Step-by-step explanation:

1 Answer

1=12.

4=22.

9=32.

16=42.

25=52.

36=62.

49=72.

64=82 .

Find the difference between Simple interest and compound interest on 1200 for one year at 10% per annum​

Answers

Answer:

the difference between them is zero cause on first year simple interest and compound interest are equal

a. How many bushels of corn, if any, will the United States export or import at the prices below?
At $1, it will (import, export, or neither import or export )
___bushels.

b. How many bushels of corn, if any, will the United States export or import at the prices below?
At $2, it will (import, export, or neither import or export )
____bushels.

c. How many bushels of corn, if any, will the United States export or import at the prices below?
At $3, it will (import, export, or neither import or export )
____ bushels.

d. How many bushels of corn, if any, will the United States export or import at the prices below?
At $4, it will (import, export, or neither import or export )
____ bushels.

e. How many bushels of corn, if any, will the United States export or import at the prices below?
At $5, it will (import, export, or neither import or export )
____ bushels.

2.

a. Use this information to construct the U.S export supply curve and import demand curve for corn

b. Suppose that the only other corn-producing nations is France, where the domestic price is $4. Which country will export corn and which country will import it

The United Stated will import corn France will export it

The United States will export corn and France will import it

Neither country will import or export corn.

Answers

At $1, the United States will import 15,000 bushels of corn.At $2, the United States will import 7,000 bushels of corn.At $3, the United States will neither import nor export any bushels of corn.At $4, the United States will export 6,000 bushels of corn.At $5, the United States will export 10,000 bushels of corn.

The number of bushels of corn.

Based on the graph which depicts the United States domestic market for  corn at different prices, we can logically deduce the following information:

At $1, the United States will import 15,000 bushels of corn.At $2, the United States will import 7,000 bushels of corn.At $3, the United States will neither import nor export any bushels of corn.At $4, the United States will export 6,000 bushels of corn.At $5, the United States will export 10,000 bushels of corn.

Assuming France is the only other corn-producing nations at a domestic price of $4, we can reasonably infer that the United States will export corn while France will import it.

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Please help quick!!!

Reflect over the y axis then translate

Answers

The composition of transformation that maps ABCD to EHGF is reflect over the y-axis, then translate (x - 1, y + 1)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, left, right or down in the coordinate plane.

The composition of transformation that maps ABCD to EHGF is reflect over the y-axis, then translate (x - 1, y + 1)

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Other Questions
You are exploring a previously unknown planet to learn more about organisms living there. You come across two species living in close proximity and wonder if they demonstrate an example of coevolution. Which of the following experiments would best determine this? What was one result of the partition of India? Gandhi established cooperation between India and Pakistan.People of different cultures lived together peacefully.The division led to a period of war between India and Pakistan.The division caused mass migrations and violence. unpolarized light of intensity i0 is incident on two filters. the axis of the first filter is vertical and the axis of the second filter makes an angle of The Fed changes reserve requirements from 10 percent to 7 percent, thereby creating $900 million in excess reserves. The total change in deposits (with no drains) would be Multiple Choice $3,000 million $15,625 million $12,857 million $3,795 million among different measures of forecast accuracy, __________ penalizes the most for making large forecasting mistakes. Under what circumstances will the copy constructor run? Select all that apply. Which of the following are true for inherited operators? When the object is declared as a local variable. When the object is passed by value to a function When the object is passed by reference to a function. When the local object is returned from a function When the object being declared initialized to an object of the same type Which aqueous solution is expected to have a pH less than 7 at 25 degree C? NH_4Br (aq) RbC_2H_3O_2 (aq) MgCl_2 (aq) LiNO_3 (aq) A consumer wishes to estimate the proportion of processed food items that contain genetically modified (GM) products. (a) If no preliminary study is available, how large a sample size is needed to be 99 percent confident the estimate is within 0. 03 of ?(b) In a preliminary study, 210 of 350 processed items contained GM products. Using this preliminary study, how large a sample size is needed to construct a 99% confidence interval within 0. 03 of ? The natural unemployment rate and the expected inflation rate are constant when moving along the which shows a trade off between O A short-run Philips curve, inflation employment O B short-run Phillips curve; Inflation, unemployment OC aggregate supply curve, inflation, unemployment OD long-run Phillips curve, inflation, unemployment O E aggregate demand curve, inflation; employment Two cyclists start at the same point and travel in opposite directions. One cyclist travels 10 (km)/(h) faster than the other. If the two cyclists are 144 kilometers apart after 3 hours, what is the rate of each cyclist? Rate of the faster cyclist: Rate of the slower cyclist: show that there exists an integer solution to the congruence x 2 x 4 (mod 2027), given that 2027 is prime. [hint: what do you have to take the square root of?] Which type of ebusiness model is Amazon using? 1. The Roth Family took out a $215,000 with a 15-year mortgage at an APR of 5.4%. Themonthly payment was $1,850. What will be their total interest charges after 15 years? the input file for low-level development systems normally contains: let r be an nxn upper triangular matrix with semi band width s Show that the system Rx = can be solved by back substitution in about 2ns flops. An analogous result holds for lower-triangular systems If a simple main effect is examined from a-two factor ANOVA with two levels in each factor and n = 4 individuals in each level, what df will be used? O a.df = 2,14 Ob.df = 2, 12 c.df-1, 12 d. df = 1,14 presidents reagan and bush were most successful in meeting their goal of quizlet 30.0g consider the reaction a 2b 3c. if the molar mass of c is twice the molar mass of a, what mass of c is produced by the complete reaction of 10.0 g of a? how did the spiritual renewal of the middle ages give rise to the crusades and what was the legacy of the crusades? What happens to the length of the day as the earth develops?.