An experiment is conducted examining the effects of a new type of toothpaste on reducing cavities. Individuals in the treatment condition are given the new toothpaste; individuals in the control condition are given the standard toothpaste, but are told that they're receiving the new toothpaste. At the end of the experiment, the control group participants demonstrate a slightly higher decline in cavities. This is an example of a(n):____.
a. Wording bias.
b. Voluntary response bias.
c. Over-sampling effect.
d. Placebo effect.
d. Hawthorne effect.

Answer:

Step-by-step explanation:

Riely made a mistake in step 4 because she forgot to cancel the negative sign

Answer:

Step 4

Step-by-step explanation:

edmentum.

The statement "The lcd of x-4 and x is x-4" is incorrect.

When adding or dividing fractions with various denominators, a common denominator is utilised as the shared denominator. Since they represent various components of a whole, two or more fractions with different denominators cannot be added or subtracted together directly. Finding a common denominator, which is a multiple of all the denominators, is necessary to add or subtract fractions with various denominators. The smallest expression that all the denominators can evenly divide into should be the common denominator.

The least common denominator (LCD) of two or more expressions is the smallest expression that is a multiple of all the denominators.

Hence, the statement "The lcd of x-4 and x is x-4" is incorrect.

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The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.

In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.

Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.

In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A

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Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

Hi!

The words "y varies inversely as x" automatically means we can write:

\(y=\cfrac{k}{x}\)

Note that this is a fraction because it said "inversely". If it had said "jointly" or "directly", it would have been \(y=kx\).

Now, we plug in the given values to solve for k.

We are given:

\(y = 0.4\)

\(x = 0.8\)

Plug those in and we have:

\(0.4=\cfrac{k}{0.8}\)

Multiply both sides by \(0.8\):

\(0.32=k\)

Now, with the value of \(k\) solved for, we put it back into the original equation, and that's your answer:

\(y=\cfrac{0.32}{x}\)

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Answer:

\( log_{7}(3) \)

Step-by-step explanation:

According to the

\( log_{7}(18) \: - log_{7}(6) \\ \\ = \frac{ log_{7}(18) }{ log_{7}(6) } = log_{7}(3) \)

Answer:

The committes can be selected in \(1.752507297 \times 10^{19}\) ways

Step-by-step explanation:

The order in which the members are chosen to the committee is not important. So we use the combinations formula to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The two committees must be disjoint.

This means that a person cannot be part of both committes.

If there are 385 members of congress, how many ways could the committees be selected?

Since the committes are disjoint, 5(math) + 5(computer science) = 10 people will be chosen from the set of 385. So

\(C_{385,10} = \frac{385!}{10!(385-10)!} = 1.752507297 \times 10^{19}\)

The committes can be selected in \(1.752507297 \times 10^{19}\) ways

Step-by-step explanation:

The solutions are

S

=

{

30

º

,

150

º

,

270

º

}

Explanation:

The equation is

2

sin

2

θ

+

sin

θ

−

1

=

0

We can factorise the LHS

(

2

sin

θ

−

1

)

(

sin

θ

+

1

)

=

0

Therefore,

sin

θ

=

−

1

,

⇒

,

θ

=

270

º

sin

θ

=

1

2

,

⇒

,

θ

=

30

º

,

150

º

100 mph per hour

Step-by-step explanation:

solution

speed of auto mobile=50mph

distance already traveled when the airplane took out in pursuit=200miles

time taken to overtake the car=4 hours

Now,

let the speed of airplane be X

X=50×4+200

or,X=200+200

or,X=400

or, X=400÷4

Therefore, X=100

Answer:

Step-by-step explanation:

Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.

The median salary in 2048 will be  2.853 million

A general linear equation is given by:

y=a × x + b

Where the slope is a and the y-intercept is b.

We shall discover that the linear equation for this scenario is

y = 0.033 ×  x + 1.269

And we may anticipate that in 2048, the median salary will be 2.853 million.

The slope can be expressed as if the line passes through the points (x1, y1) and (x2, y2).:

\($a=\frac{y_2-y_1}{x_2-x_1}\)

Here, we know that whereas the median player pay in 2007 (x = 7) was y = 1.5 million, it was y = 1.7 million in 2013 (x = 13).

The following two points can be written as follows:

(7,1.5)

(13,1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

\($a=\frac{1.7-1.5}{13-7}=0.033\)

So the linear equation is something like:

y=0.033 × x + b

Remember the point (7,1.5), which indicates that for x=7, we also get y=1.5, so we can substitute these in the equation above:

1.5=0.033 ×  7+b

1.5-0.033 ×  7 = b = 1.269

Then the linear equation is:

y=0.033 ×  x+1.269

b) Now we want to predict the median salary in 2048 . For 2048 the

x-value is x=48

So we just need to evaluate this in the linear equation:

y = 0.033 × 48 + 1.269 = 2.853

Then the median salary in 2048 will be  2.853 million

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The total area of the regions between the curves is 4.5 square units

The graph is attached

From the question, we have the following parameters that can be used in our computation:

y = x² - 6x + 9 and y = x - 1

With the use of graphs, the curves intersect at

x = 2 and x = 5

So, the area of the regions between the curves is

Area = ∫x² - 6x + 9 - x + 1

This gives

Area = ∫x² - 7x + 10

Integrate

Area =  x³/3 - 7x²/2 + 10x

Recall that x = 2 and x = 5

So, we have

Area = [2³/3 - 7(2)²/2 + 10(2)] - [5³/3 - 7(5)²/2 + 10(5)]

Evaluate

Area = 4.5

Hence, the total area of the regions between the curves is 4.5 square units

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Step-by-step explanation:

let the value of x be -11

so,

-4(-11)+5>45

44+5>45

49>45

hence proved.....

thanku so much.....

please check the other answers also.... it's only my point of view .....

Answer:0.28

Step-by-step explanation:

3.36÷12= 0.28

The constant of proportionality is 0.28 dollars per pounds.

An equation is used to show the relationship between two or more numbers and variables.

Let y represent the cost in dollars for x number of ounces.

Since y is proportional to x, hence it van be represented by:

y = kx

where k is the constant of proportionality.

Given that:

A 12 ounce starbucks latte costs $3.36. Therefore:

3.36 = 12k

k = 0.28

The constant of proportionality is 0.28 dollars per pounds.

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The number of days that this solution will probably last would be = 8 days.

To calculate the number of days the solution will last the following is taken into consideration.

The parameters given which are not in ml should be converted to ml as follows;

2 Oz of Lidocaine to ml = 2×29.6=59.2ml

½tsp of banana flavouring;

= 1/2×4.92

= 2.5ml

Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml

But 2×10 = 1 day

20ml = 1 day

161.7ml = X

Make X the subject of formula;

X = 161.7/20

= 8.1

= 8 days.

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You can hire around 173 employees. Here's the calculation: $1,900 / ($11/hour * 40 hours/week) = 173.333..., which rounds down to 173.

Solution

a)

From the equation

The value of b (base) is 5

Since b > 1, It's a Growth

If we set x = 0, we would get the y-intercept.

In this case, y = 1 is the y-intercept.

When x = 1, f(x) = b = 5

(1, b) --> (1, 5)

The horizontal Asymptote is y = 0

Domain

Range

b)

Value of b: 2

Growth or Decay: Growth since b>1

y-intercept: 5

Key point (1, b): (1, 6)

Horizontal Asymptote is y = 4

Domain

Range

Answer:

x(down 1)=-11/5, x(down 2) =3

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Applying the intersecting secants theorem, the length of segment KL is approximately, 45.8.

According to the intersecting secants theorem, if two lines from a point outside a circle intersect the circle, then the product of the length of one line segment and its portion outside the circle is equal to the product of the length of the other line segment and its portion outside the circle.

Using the theorem, we have:

MN * MO = ML * MK

Substitute:

21 * 48 = 22 * KL

1,008 = 22KL

1,008/22 = KL

KL = 45.8 (nearest tenth)

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The total number of whole number between -4 and 6 are 7 that are 0,1,2,3,4,5,6.

Whole numbers are the complete set of natural numbers plus '0'. Examples include: 0, 11, 25, 36, 999, 1200, and so on. Learn more about numbers by clicking here.

Integers supplement this set of numbers because they include negatives, but otherwise follow the same rules. As a result, all whole numbers are integers (because they are all positive integers), but not all integers are whole numbers (because some are negative).

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\( = 60 \times \frac{32}{100 } \\ = 6 \times \frac{32}{10} \\ = \frac{96}{5} \\ = 19.2\)

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

The amount of medicine the nurse should give the patient of 80 kilograms is A = 3,527.4 mL

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Amount of medicine the nurse should give the patient of 1 pound = 20 mL

So , when the weight of the patient = 80 kilograms

80 kilograms = 80 x 2.205 pounds

The weight of the patient in pounds = 176.37 pounds

Now , amount of medicine the nurse should give the patient of 80 kilograms A = 176.37 pounds x amount of medicine the nurse should give the patient of 1 pound

On simplifying the equation , we get

The amount of medicine the nurse should give the patient of 80 kilograms is A = 176.37 x 20

The amount of medicine the nurse should give the patient of 80 kilograms is A = 3,527.4 mL

Hence , the amount of medicine for the patient is 3,527.4 mL

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Answer:

x=11.34

Step-by-step explanation:

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

you should have studied instead of going to a wed site

Step-by-step explanation:

many people can give u a wrong answer