please help with this aswell these are just confusing

Please Help With This Aswell These Are Just Confusing

Answers

Answer 1

The solutions of the quadratic equation are:

x = (-1 +√8*i)/4x = (-1 -√8*i)/4

How to solve the quadratic equation?

A general quadratic equation:

a*x^2 + b*x + c = 0

Has solutions of the form:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4a} }{2a}[/tex]

In this case, the quadratic is:

2*x^2 + x + 2 = 0

a = 2

b = 1

c = 2

Then using above formula we get the two solutions:

[tex]x = \frac{-1 \pm \sqrt{1^2 - 4*2*2} }{2*2} \\\\x = \frac{-1 \pm \sqrt{-8} }{4}[/tex]

So the solutions are:

x = (-1 +√8*i)/4

x = (-1 -√8*i)/4

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Related Questions

The original price of a scarf was $16. During a store-closing sale, a shopper saved $12 on the scarf. What percentage discount did she receive? explanation

Answers

She received a discount of 75 percent from the sale of the scarf.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that the original price of the scarf is $16, the money saved during the sale is $12.

Therefore:

The Amount the scarf was bought (Discounted price) = Original Price - Money saved

Discounted price =$16 - $12 = $4

Now the discount is given as;

Discount = (Amount saved / Original price) × 100%

Discount = ($12/ $16) × 100% = 75%

Therefore the discount of 75% was received.

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6w - 13w - 18 = -81 Solve for w.
Simplify your answer as much as possible.

Answers

6w-13w-18= -81
-7w - 18+ 18= -81+ 18
-7w/-7= -63/-7
w= 9
Subtract 13w from 6w
This gives you -7 -18= -81.
Then you would move all the terms that are not containing w to the right side of the equation.
This gives you -7w= -63.
Next you will divide each term by -7w= -63, then by -7 and simplify
Your answer should be w= -9

find the slope of the line (2,4) (2,-3)​

Answers

Answer: The slope is undefined because the line is vertical

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Slope = (-3 - 4) / (2 - 2) = -7/0 =undefined

This is a vertical line.  

Suppose you have selected a random sample of n 4 measurements from a normal distribution. Compare the standard normal z values with the corresponding t values if you were forming the following confidence intervals. (a) 80% confidence interval (b) 98% confidence interval (C) 90% confidence interval

Answers

The solutions are;

The critical value with a level of significance ‘of 0.10’ and degrees of freedom ‘of 3’ is 1.533.

The critical value with a level of significance ‘of 0.01’ and degrees of freedom ‘of 3’ is 3.747.

The critical value with a level of significance ‘of 0.05’ and degrees of freedom ‘of 3’ is 2.132.

Given;

Let's say you randomly choose n = 4 measurements from a normal distribution. If you were constructing the following confidence intervals, compare the standard normal z values with the appropriate t values.

(a) 80% confidence interval:

The z-value is obtained as shown below:

The level of significance is;

Locate the probability in the z table. Then, the corresponding row value is 1.2 and the column value is 08.

The critical value with a level of significance is 1.28.

α = 1 - 0.80 = 0.20

α/2 = 0.10

The t-value is obtained as shown below;

From the information, the sample size is 4.

df = n - 1 = 4 - 1

              = 3

The critical value with a level of significance ‘of 0.10’ and degrees of freedom ‘of 3’ is 1.533.

(b) 98% confidence interval:

The z-value is obtained as shown below:

The level of significance is;

Locate the probability in the z table. Then, the corresponding row value is 2.3 and the column value is 03.

The critical value with a level of significance is 2.33.

α = 1 - 0.98 = 0.02

α/2 = 0.01

The t-value is obtained as shown below;

From the information, the sample size is 4.

df = n - 1 = 4 - 1

              = 3

The critical value with level of significance ‘0.01’ and degrees of freedom ‘3’ is 3.747

(C) 90% confidence interval:

The z-value is obtained as shown below:

The level of significance is;

Locate the probability in the z table. Then, the corresponding row value is 1.6 and the column value is 04.

The critical value with a level of significance is 1.64.

α = 1 - 0.90 = 0.10

α/2 = 0.05

The t-value is obtained as shown below;

From the information, the sample size is 4.

df = n - 1 = 4 - 1

              = 3

The critical value with a level of significance ‘of 0.05’ and degrees of freedom ‘of 3’ is 2.132.

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On a given blueprint, 1 in. : 6 ft. If the dimensions of the bedroom on the blueprint are 0.8 inches × 2.3 inches, what are its actual measurements? A. 4.8 ft by 13.8 ft B. 9.6 ft by 27.6 ft C. 18.4 ft by 14.8 ft D. 2.875 ft by 17.25 ft

Answers

The actual measurements of bedroom are 4.8 feet and 13.8 feet. Therefore, option A is the correct answer.

Given that, on a given blueprint, 1 in. :6 ft.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

The dimensions of the bedroom on the blueprint are 0.8 inches × 2.3 inches

Here, 0.8 × 6

= 4.8 feet

2.3 × 6

= 13.8 feet

The actual measurements of bedroom are 4.8 feet and 13.8 feet. Therefore, option A is the correct answer.

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HELP I WILL GIVE 30 POINTS PLUS BRAINLESIT!!

Evaluate. 34+(12+14)2⋅2 Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

Step-by-step explanation:

138

Its 138 also in the three dots u can make it the brainliest

Which function is graphed?
A. y = {x² +4, x≤ 2
-x+4, x<2
B. y = {x² +4, x>2
-x+4, x>2
C. y = {x²+4,x>2
-x+4, x≤2
D. y = {x² +4,x<2
-x+4, x >2

Answers

Option D, the function is graphed. And the condition is y = {x² +4,x<2

                                                                                            -x+4, x >2

What is a function?

In a mathematical function from a set X to a set Y, exactly one element of Y is assigned to each element of X. The function's codomain and domain are respectively referred to as the sets X and Y as a whole.

Functions were initially thought of as the relationship between varying quantities and other variables. The impact of time on a planet's position serves as an example of this. The concept was historically developed with the development of infinitesimal calculus at the end of the 17th century, and up until the 19th century, the functions taken into consideration were differentiable.

Let us check option A first

y={x² +4, x≤ 2

    -x+4, x<2

For, x² +4, x≤ 2

x   2     1     0     -1      -2

y   3     5    4      5       8

Here, the condition is satisfied

Now, we have to check the condition

-x+4, x<2

The condition is not satisfied.

Similarly, we have to check all the options.

And finally by checking all the conditions,

Option D is correct and the conditions are

y = {x² +4,x<2

      -x+4, x >2

Therefore, the option D function is graphed.

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What is the value of -9?
A. 18
B. 9
C. 0
D. -9
Pls help will give 20 Points!

Answers

D is your answer hope this helps

Answer: The question is a bit unclear but the value of -9 is -9, the absolute value of -9 is 9. Does that answer your question?

Step-by-step explanation:

Which volume unit is smaller?
cubic millimeter cubic centimeter

Answers

Cubic millimeter volume unit is smaller.

You would multiply a measurement in cubic centimeters by 1,000 to translate it to cubic millimeters. This makes sense because you would anticipate needing a lot more cubic millimeters to fill the same space because a cubic centimeter is greater than a cubic millimeter.

Volume:

The total number of cubic units that a cube occupies in three dimensions is its volume. Six faces, twelve edges, and eight vertices make up the three-dimensional shape of a cube. Therefore, the area encircled by a cube's six faces is considered to equal its volume. It differs from 2D shapes in that it adds a third dimension, known as height or thickness, in addition to length and breadth. Since the product of a cube's length, width, and height determines its volume. Cubic units are used to measure it. The volume of a cube increases as the value of its dimensions increases.

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If you are tossing a six-sided die, what is the probability of getting either a 1 or a 2 on your first toss and a 1 or a 2 on your second toss?.

Answers

The probability of getting either 1 or 2 on first and second toss is 1/9

How to calculate the probability?

Probability is numerical description for how likely something is to happen. To know probability something event we just divide no the outcome by total possible of the outcome.

The probability of either 1 or 2 side on first toss is

= no the outcome / total possible the outcome

= 2/6

= 1/3

For second toss is same as first toss

= 2/6

= 1/3

Since the second toss is independent, it is called an independent event. So, we just need to multiply the probability on the first toss by the probability on the second toss,

= 1/3 * 1/3

= 1/9

Thus, the probability of getting either 1 or 2 on first and second toss is 1/9

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A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 12 granola bars and each large box has 18 granola bars. The camp bought a total of 15 boxes that have 240 granola bars altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Answers

A system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased include the following:

s + l = 15

12s + 18l = 240.

How to write the two equations for this system?

In order to write a system of linear equations could be used to model and determine the number of small boxes purchased and the number of large boxes purchased, we would assign variables to the number of small boxes that were purchased, the number of large boxes that were purchased, and the total number of boxes respectively as follows:

Let the variable s represent the number of small boxes that were purchased.Let the variable l represent the number of large boxes that were purchased.Let the variable t represent the number of large boxes that were purchased.

Translating the word problem into an algebraic equation, we have the following;

Since each small box has 12 granola bars and each large box has 18 granola bars, we have:

12s + 18l = 240.

For a total of 15 boxes altogether, we have:

s + l = 15

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How to do q14 pleaseeeee someone help me i really need help

Answers

The mean of the previous four tasks was 77%.

What is Mean?

The mean is just the average of the given set of values. It represents a data set's values being distributed evenly.

Solution:

Mean = Sum of Observation / Total Number of Observation

Let, the sum of previous four values be x

According to the question,

78 = x + 82 / 5

here, 5 is the total number of observations

so,

x can be calculated by cross multiplication

390 - 82 = x

x = 308

Since, we have the sum of the four values and the numer of observations is 4, then mean would be

Mean = 308/4

Mean = 77%

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A bus travelling from Camiling to Tarlac City collects a travelling fee of 10 pesos per x²+5 Km. Determine the travelling cost in peso of a passenger going to a distance that is 3/2 times more distant than the average.

Answers

The cost for a passenger going to a distance that is 3/2 times more distant than the average is; 15 pesos

How to solve algebraic word problems?

We are given that;

Average distance covered per passenger = x² + 5 Km.

Cost per average distance = 10 pesos

Cost per km = 10/(x² + 5) pesos per km

We are told that a passenger now goes a distance that is 3/2 times more distant than the average. Thus, this distance is;

(3/2)(x² + 5) Km

The cost for this given distance will be;

10/(x² + 5) * (3/2)(x² + 5)

= 10 * (3/2)

= 15 pesos

Thus, we conclude that the travelling cost in pesos is 15 pesos

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3. The graph represents the cost per person at
a pottery painting
studio. Find the
rate of change.
TOTAL COST ($)
5. Find the slope of
45
988 38994
40
30
15
2-3
# OF PEOPLE
A.
12
thr
D.

Answers

Answer:

the answer is 45/100=9/50 according to my solution

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 60 pounds. There were 7 more small boxes shipped than large boxes and the total weight of all boxes was 815 pounds. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

35x + 65y = 815 and x + 7 = y are the system of equations that can be used to find the number of boxes.

What is an algebra?

One of the many different mathematical disciplines is algebra. Algebra is, broadly stated, the study of mathematical symbols and the guidelines for applying those symbols to formulas.

Given,

The weight of each small box = 35 pounds
The weight of each large box = 65pounds
The total weight of the boxes = 815pounds
There were7 times as many small boxes shipped as large boxes
Let 'x' be the number of small boxes and 'y' be the number of large boxes
The weight of 'x' small boxes = 35x pounds
The weight of 'y' large boxes = 65y pounds
The total weight of the two types of  boxes together = 35x+65y

Since the total weight of the boxes is 815 pounds, we have
35x+65y = 815---------------------(1)

Since 7 more small boxes =   large boxes, hence we have,
x + 7 = y ------------------------(2)
Solving both the equations we get,

x = 3.95 or 4
and, y = 10.95 or 11

The number of large boxes shipped = 11

The number of small boxes shipped  = 4

∴ The number of small boxes shipped = 4 and the number of large boxes shipped = 11.

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Simplify -4 3/4 - 8 4/5

Answers

Answer:

this equal to -13.55 hopefully this helps

26. Which is the correct coefficient of 147,000 when it is written in scientific notation?
A 147
B 1.47
C 14.7
D 0.147

Answers

The correct coefficient is 147

In scientific notation, a number is represented by an exponent, or the power of 10, multiplied by the coefficient, which appears before the times sign. For instance, 4.3 is the coefficient and 6 is the exponent in the equation 4.3 x 10^6, which is equivalent to 4,300,000 (four million three hundred thousand).

From the question, we have

147,000 = 147 *10^3

The correct coefficient is 147

Multiplication:

Mathematicians multiply two or more numbers to determine the sum of the parts. It is a fundamental mathematical procedure that is commonly used in real-world situations. Multiplication is used when groups of like sizes need to be combined. Multiplication is a mathematical operation that illustrates the fundamental idea of adding the same number again. The product of two or more numbers is what occurs from multiplying them, while the components are the quantities that are multiplied. Multiplying the numbers makes it simpler to repeatedly add the same quantity.

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Write 1/7 root in index form

Answers

Answer:

30

Step-by-step explanation:

in index form the nth if a root number is X and that is X to the power so the seventh root of 30 is 30 to the power of 1/7

complete the equivalent fraction 1/7=x/35

Answers

X equals five! Just multiply the first denominator to find the other denominator and multiple the numerator by that!

explain this asap please no clue where to go

Answers

The parametric equations of the curve are x = -10 + 1t and y = -20 - 4t

How to determine the parametric equations of the curve?

A parametric equation is defined as a type of equation that employs an independent variable called a parameter (often denoted by t)

Given: The line with slope -4, passing through (-10, -20)

We can use the given properties of the curve to describe it parametrically as follows

The slope of -4 implies that if y decreases by 4, x increases by 1  i.e slope = Δy/Δx = -4/1. Thus, we have

x = -10 + 1t

y = -20 - 4t

Therefore, the parametric equations are x = -10 + 1t and y = -20 - 4t. So (x(t) , y(t)) = (-10 + 1t,  -20 - 4t)

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Use properties to determine whether the expressions are equivalent. 8(9x − 2) and 72x − 2

Answers

Answer: No they are not equivalent.

Step-by-step explanation: 8(9x-2) = 72x-2

= 8(9x-2) = 72x - 16

= 72x -16 is not equivalent to 72x -2.

Where is A after relfecting over the x axis the translate 3 units right

Answers

The coordinates of A is (0,2)

How can a image be reflected?

Behind a mirror's glass, people can see a reflection of themselves. The shiny surface creates that image when light rays strike it and reflect or bounce back, creating a "mirror image." Contrary to popular belief, the reflection is not mirrored from left to right as many people believe.

The coordinates of the point A is (-3,-2)

The rule of reflection over x-axis is

(x,y)→(x,-y)

So the point A after reflecting over the x-axis becomes

A(-3,-2)→ A(-3,2)

To move the point P(x,y), a units right and b units up we use

P(x+a,y+b)

As per the question as it moves 3 units right

∴ A(-3.2)

⇒A(-3+3,2)

The point A now is A(0,2)

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Question Progress
The height of Dyffan is 75 centimetres.
The height of Logan is 80 centimetres.
Write the height of Dyffan as a fraction of the height of Logan.
Give your answer in its simplest form.

Answers

Answer:

15/16

Step-by-step explanation:

75/80

15/16

Answer:
15/16

Divide 75/80 by 5 (both the numerator and denominator)

What is the meaning of a 95% confidence interval for a population mean?

Answers

A 95% confidence interval is a set of data that contains the real mean of the population 95% of the time. This is not the same as a range that includes 95% of the possible values.

What is Confidence Interval?

In statistics, a confidence interval defines the possibility that a population parameter will fall between a set of values for a certain proportion of the time.

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HELP ASAP PLEASE!!!!

Answers

Answer:

y=1,-4,-9,-14

Step-by-step explanation:

just replace x with the given value and find what it equals to

y=-5(0)+1

y=1

y=-5(1)+1

y=-5+1

y=-4

y=-5(2)+1

y=-10+1

y=-9

y=-5(3)+1

y=-15+1

y=-14

Hopes this helps please mark brainliest

Answer:

Please mark as brainiest

Step-by-step explanation:

when x = 0:

y= -5(0)+1

y=0+1

y=1

when x = 1:

y= -5(1)+1

y= -5+1

y= -4

when x = 2:

y= -5(2)+1

y= -10+1

y= -9

when x = 3:

y= -5(3)+1

y= -15+1

y= -14

Write a linear equation that passes through (5,2) and (6,4). *Please*

Answers

The line of equation that passes through (5,2) and (6,4) is 4x+y=22.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given points are (5,2) and (6,4)

The equation that passes from two points (x₁,y₁) and (x₂,y₂) is,

y-y₁=m.(x-x₁)

Where m=(y₂-y₁)/(x₂-x₁)

Then linear equation,

y-y₁=(y₂-y₁)/(x₂-x₁)×(x-x₁)

Substitute the values here,

y-2=(6-2)/(4-5) ×(x-5)

y-2=4/(-1)(x-5)

y-2=20-4x

4x+y=22

So the required linear Equation is 4x+y=22.

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What is the formula of tan 45 degree Theta?

Answers

The value of  tan(45°+Θ) after using trigonometric ratio is  

1+tanΘ/ 1-tanΘ.

What is trigonometric ratios?

   There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.

Here the given,

=> tan(45°+Θ)

Now using formula ,

=> tan(a+b) = [tex]\frac{tan a+tan b}{1-tan a*tanb}[/tex]

=> tan(45°+Θ)= (tan 45°+tanΘ)/(1-tan45°*tanΘ)

We know that tan 45°=1 then ,

=> tan (45°+Θ)= 1+tanΘ/ 1-tanΘ

Hence the formula for  tan (45°+Θ) is  1+tanΘ/ 1-tanΘ.

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the auditors have sampled 50 accounts from a population of 1,000 accounts receivable. the sample items have a mean book value of $200 and a mean audited value of $203. the book value in the population is $198,000. what is the estimated total audited value of the population using the difference method?

Answers

The estimated total audited value of the population using the difference method  is $201,000.

The difference method works as follows :

A difference method is a mathematical expression of the form

f (x + b) − f (x + a). If a finite difference is divided by b − a, one gets a difference quotient.

Given that,

A population of 1,000 accounts .  

The sample items have a mean book of $200 and

A mean audited value of $203  

Therefore, the difference of $203 - $200 = $3  

Now, Apply the difference to the population of accounts and we get,

(1000 account × $3) = $3000

As Given in the question,

The book value in the population is $198,000 and we add the difference previously calculated of $3,000  

So, we have = $198,000 + $3,000

                     = $201,000  

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The Principal of Trinity High School wants to purchase custom tote bags for each of her teachers as a thank you gift. Each bag will be printed with the school mascot on the side. Depending on the cost, she may want to order some extra tote bags to hand out as prizes to students throughout the school year. The screen printing company says that if she orders 75 tote bags, the cost will be $635. If she orders 125 tote bags, the cost will be $1035. Assuming the cost of ordering a tote bags is a linear equation, determine the cost of ordering 110 tote bags.

Answers

From the given condition of number of tote bags ordered and there costs represents linear equation then cost of ordering 110 tote bags is equal to $915.

As given in the question,

Let us consider y be the cost of ordering a bag.

And x represents the number of bags to be ordered as per the cost.

It is given that Cost of ordering bags and number of tote bags represents the linear equation,

Standard form of Equation is :

y = mx + c

For order of x = 75 tote bags cost is y = $635.

635 = 75m + c   __(1)

For order of x = 125 tote bags cost is y = $1035.

1035 = 125m + c ____(2)

Subtract (1) from (2) we get,

1035 = 125m + c

635 = 75m  + c

400 = 50m

⇒m = 8

Substitute value of m in (1) we get,

635 = 75(8) + c

⇒c = 35

Equation is:

y = 8x + 35

When number of ordering bags x = 110 then,

y = 8(110) + 35

⇒ y = $915

Therefore, from the given condition of number of tote bags ordered and there costs represents linear equation then cost of ordering 110 tote bags is equal to $915.

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A fair coin is flipped 12 times. Find the probability that more than 3 of the flips turn up tails.

Answers

The probability of more than 3 of the flips turn up tails is 0.0528 i.e 5.28%.

The binomial distribution in contains n independent Bernoulli trials. A Bernoulli trial is a trial that happens to succeed (probability p) or fail (probability 1- p = q )

Suppose we have a variable X for a Bernoulli distribution with parameters n and p, which is written as The probability of x successes in n trials is P(X = x)

= ⁿCₓ pˣ(q)ⁿ ⁻ ˣ

Toss a fair coin 12 times.

Next is the probability that 3 or more flips will be a number.

The probability of success is (P) = 1/2 = 0.5

total number of tosses (n) = 12

we have x = 3

P(X = 3) = ¹²C₃(0.5)³x (1 - 0.5)¹²⁻³

= 220 (0.5)³ (1 - 0.5)⁹

P(X = 3) = 0.0528

P(X = 3) = 5.28%

Hence, the probability that more than 3 of flips turn up tails is 0.0528.

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Which type of health insurance policy should you purchase if you never want to worry about referrals? a homeowner wants to build a fence to enclose a 500 square yard rectangular area in his backyard. along one side the fence is to be made of heavy-duty material costing $9 per yard, while the material along the remaining three sides costs $1 per yard. determine the least cost to the homeowner. a person who does not own a laptop or smartphone is not a digital citizen and so does not need to be concerned about digital ethics. True or False what does the ada seal of approval for dentifrices ensure for the consumer? group of answer choices stains will be removed. abrasives are within safe limits. the paste will prevent cavities. it is not harmful if swallowed. In lab we applied the conservation of energy to a system to allow us to equate the initial energy to the final energy. How does the initial energy become stored in the system?. Question 7:Several health insurance companies are bidding for an insurance contract. Of these companies, 3are local, 3 have state-wide operations, and 6 have national operations. Only one company willbe awarded the contract. If each company is equally likely to win the contract, what is the probabilitythat the contract will be awarded to one of the companies with state-wide operations?Note: For any final answer that has up to four decimal places, enter your answer without rounding thenumber. For any answers with more than four decimal values, round your final answer to four decimalplaces.I helpppppppppppppppppppppppppp asapppppppppppppppppppppppppppppppp What are the disadvantages of a home equity loan? if, in the market for lattes shown in the figure, the government assesses a tax of $0.75 on each latte, the price the consumer pays for a latte after the tax will: Where do subduction zones often occur? question 6 options: where a continental plate is being split into two parts where an oceanic plate is moving toward a continental plate where two oceanic plates are moving away from each other where two continental plates are colliding What is a political action committee? LESSON 8 SESSION 2NamePractice Showing That theSlope of a Line Is Constant> Study the Example showing that the slope of aline is constant. Then solve problems 1-5.ExampleCece draws a graph representing herfamily's car trip to the beach. She wantsto show her father that their gasmileage in miles per gallon was thesame for the entire trip. Cece chosethree points on the line and drewvertical line segments from the points tothe x-axis. How can she use thesesegments to prove that the gas mileagewas constant for the trip?Distance (mi)250150100300(S. 155)(1,31)8 10What was the gas mileage for the trip in the Example?6Gasoline Used (gal)The vertical line segments create threesimilar right triangles. Because thetriangles are similar, the quotient of the length of the vertical side to the lengthof the horizontal side is the same for each triangle. These quotients are slopesbetween (0, 0) and the points Cece chose. Because Cece could have chosen anypoints on the line to make the similar triangles, the slope is constant for thewhole line. So, the gas mileage is constant for the whole tripFor the graph in the Example, find the slope between the origin and each of thepoints Cece chose.Vocabulslopefor any twoa line, theshangechangeof suppose the number of buyers in a market decreases and the price of an input decreases also. what would we expect to happen in the market? group of answer choices equilibrium price would decrease, but the impact on equilibrium quantity would be unclear. proper control for over-the-counter cash receipts includes using electronic cash registers with no tapes. a cash register with totals visible to the customer. cash count sheets requiring only the cashier's signature. cash count sheets requiring only the supervisor's signature. plato's apology tells the story of how sorry socrates was for having upset his fellow athenians with his persistent questioning. a.true b.false What is the sum of (3x + 4) + (9x 10)? the study of how psychological, neural, and endocrine processes combine to affect our immune system and health is called a psychopharmacological. b evolutionary psychology. c cognitive psychology. d psychoneuroimmunology. e biofeedback. how is random error different from systematic error? provide an example that illustrates this difference. Assume that you have just been made manager of a team of young employees that includes a recent hire from Asia. Many people from Asian countries feel that it is inappropriate to bother their boss or express dissatisfaction. How might you encourage your Asian team to ask you questions, let you know when he/she is having difficulties and bring any concerns to your attention? (If youre an Asian student, what would encourage you to communicate with your boss? another way to write 6axbcx2d without using multiplication sign????