a memory researcher is testing an experimental behavioral treatment to see if it helps or hurts the memory of alzheimer's syndrome patients. after 3 months of treatment, she tests the patient's memories using a standardized test, and the data is presented below. the population mean for this test is 50. did the treatment affect the patients' memories? use .01 as the level of significance. 43 56 78 76 58 54 44 38 44 71 83 90 the appropriate alternative hypothesis will be .

Therefore, since there are more moles of HC₂H₃O₂ (0.0833 mol) than NaHCO₃ (0.0595 mol), NaHCO₃ is the limiting reagent.

Division is a mathematical operation used to find the number of times one quantity is contained within another quantity of the same kind. It is the inverse operation of multiplication. In division, the quantity being divided is called the dividend, the number by which it is divided is called the divisor, and the result is called the quotient. Division is denoted by the symbol "÷" or "/", and it is commonly used in arithmetic and algebra to solve problems involving ratios, fractions, and percentages.

Here,

a. To determine which is the limiting reagent, we need to calculate the moles of each reactant and compare them to the stoichiometric ratio in the balanced chemical equation.

First, we need to convert the mass of each reactant to moles:

moles of HC₂H₃O₂ = 5.00 g / molar mass of HC₂H₃O₂

moles of NaHCO₃ = 5.00 g / molar mass of NaHCO₃

Using the molar masses of each compound, we get:

moles of HC₂H₃O₂ = 5.00 g / 60.05 g/mol = 0.0833 mol

moles of NaHCO₃ = 5.00 g / 84.01 g/mol = 0.0595 mol

The stoichiometric ratio of the balanced equation tells us that the ratio of moles of HC₂H₃O₂ to NaHCO₃ is 1:1.

b. To find the theoretical yield, we need to use the balanced chemical equation and the amount of limiting reagent (in moles) to calculate the moles of the product formed, and then convert that to grams using the molar mass of the product. The balanced equation tells us that 1 mole of NaHCO₃ produces 1 mole of CO₂.

moles of CO₂ = moles of NaHCO₃ = 0.0595 mol

mass of CO₂ = moles of CO₂ x molar mass of CO₂

mass of CO₂= 0.0595 mol x 44.01 g/mol = 2.62 g

Therefore, the theoretical yield of CO₂ is 2.62 g.

c. If the percent yield is 68.7%, we can use this percentage to calculate the actual yield. Percent yield is calculated as follows:

percent yield = (actual yield / theoretical yield) x 100

Rearranging this equation, we get:

actual yield = (percent yield / 100) x theoretical yield

actual yield = (68.7 / 100) x 2.62 g

actual yield = 1.80 g

Therefore, the actual yield of CO₂ is 1.80 g.

d. To find a mass of each reactant where neither is the limiting reagent, we can use the stoichiometric ratio of the balanced chemical equation to calculate the maximum amount of product that can be formed from each reactant.

Let's assume we have x grams of HC₂H₃O₂ and y grams of NaHCO₃. The moles of each reactant are:

moles of HC₂H₃O₂ = x / molar mass of HC₂H₃O₂

moles of NaHCO₃ = y / molar mass of NaHCO₃

If neither reactant is limiting, they will react completely according to the stoichiometric ratio of the balanced equation. That is, 1 mole of HC₂H₃O₂ reacts with 1 mole of NaHCO₃ to produce 1 mole of CO₂.

So, to find the maximum amount of CO₂ that can be produced from each reactant, we can calculate the moles of CO₂ produced from 1 mole of each reactant and then convert that to grams using the molar mass of CO₂:

Maximum yield of CO₂ from HC₂H₃O₂:

moles of CO₂ = moles of HC

To know more about division,

https://brainly.com/question/28598725

#SPJ1

Answer: god

Step-by-step explanation: made god ur answer then say god is always right

To find the projection of vector a onto vector b, we can use the formula for the projection: proj_b(a) = (a · b) / ||b||^2 * b. Therefore, the projection of vector a onto vector b is approximately 0.0113 times the vector (61-31-2k).

To find the projection of vector a onto vector b, we need to calculate the dot product of a and b, and then divide it by the squared magnitude of b, multiplied by vector b itself.

First, let's calculate the dot product of a and b:

a · b = (-1 * 61) + (-4 * -31) + (5 * -2) = -61 + 124 - 10 = 53.

Next, we calculate the squared magnitude of b:

||b||^2 = (61^2) + (-31^2) + (-2^2) = 3721 + 961 + 4 = 4686.

Now, we can find the projection of a onto b using the formula:

proj_b(a) = (a · b) / ||b||^2 * b = (53 / 4686) * (61-31-2k) = (0.0113) * (61-31-2k).

Therefore, the projection of vector a onto vector b is approximately 0.0113 times the vector (61-31-2k).

Learn more about dot product here:

https://brainly.com/question/23477017

#SPJ11

The time that it takes for the speed of the rocket to reach 25,000 kilometers per hour is given as follows:

38.2 minutes.

The rate of change is a percent increase, meaning that an exponential function is used to model the situation.

The general format for an exponential function is defined as follows:

y = ab^x.

In which the parameters are given as follows:

In the context of this problem, the values of these parameters are given as follows:

a = 5000, b = 1.043.

(increase of 4.3% = percentage of 104.3% = proportion of 1.043).

Hence the function for the velocity after t minutes is given as follows:

y = 5000(1.043)^t.

The time it will take for the velocity to 25,000 kilometers per hour is given as follows:

5000(1.043)^t = 25000

(1.043)^t = 25000/5000

(1.043)^t = 5

log((1.043)^t) = log(5)

tlog(1.043) = log(5)

t = log(5)/log(1.043)

t = 38.2 minutes.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Answer:

Area of composite shape = 36 square units

Step-by-step explanation:

Area of composite shape:

Rectangle I:

      Length = 3 units

     width   = 6 - 4 = 2 units

Area of rectangle I = length *width

                                = 3* 2

                                = 6 square units

Rectangle II:

     length = 6 units

     width = 5 units

Area of rectangle II = 6 * 5

                                = 30 square units

Area of composite shape = area of rectangle I + area of rectangle  II

                                          = 6 + 30

                                           = 36 square units

The Cartesian equation of the curve is x = 4sin2θ + 8 and y = 8sin2θ + 8sinθcosθ.

To find the Cartesian equation of the curve r = 8sinθ + 8cosθ, we can use the following relationships:

x = rcosθ

y = rsinθ

Substituting r = 8sinθ + 8cosθ, we get:

x = (8sinθ + 8cosθ)cosθ

y = (8sinθ + 8cosθ)sinθ

Simplifying the expressions:

x = 8sinθcosθ + 8cos2θ

y = 8sin2θ + 8sinθcosθ

Using the identity cos2θ + sin2θ = 1, we can simplify x as:

x = 8sinθcosθ + 8(1 - sin2θ)

x = 8sinθcosθ + 8 - 8sin2θ

Using the identity 2sinθcosθ = sin2θ, we can simplify x further as:

x = 4sin2θ + 8

To learn more about Cartesian equation here:

https://brainly.com/question/27927590

#SPJ4

The obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

(x-3)² + 9 = 0

(x-3)²= -9

(x-3)=√-9

(x-3)=√9×√-1

(x-3)=±3i

x=3±3i

Thus, the obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ1

After 30 years of 8.8% interest compounded monthly, an account has $4,000,000,he original deposit amount was $288,208.04

Compound Interest :

                          Compound interest is a form of interest calculated using the principal amount of a deposit  plus previously accrued interest.

  general formula for compound interest is

                             A = P (1 + r/n) ^ nt

where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

According to question,

Given final amount is (A) =  $4,000,000

time (t) = 30 years

Rate of interest (r) = 8.8%

                                = 8.8/100

                                = 0.088  , Compounded monthly

Let P be the principal amount

    using the formula for compound interest compounded monthly,

         A = P (1 + r/12)^12*t

or,

         P = A/(1 + r/12)^12*t

             Substituting all values we get,

            P =   $4,000,000/ (1 + 0.088/12)^12 x 30

                = $4,000,000/13.8788

                = $288,209.35

                ≈ $288,208.04

To learn more about Compound Interest visit:https://brainly.com/question/14295570

#SPJ4

The event "is not a high school graduate but is a homeowner" can be represented in symbolic form as follows:

H: The person is a homeowner
G: The person is a high school graduate

∴ ~G ∧ H

This symbolic form represents the statement "not a high school graduate but is a homeowner." The tilde symbol (~) negates the statement that the person is a high school graduate. The conjunction symbol (∧) connects the two statements and indicates that both statements must be true for the entire statement to be true. In this case, it means that the person is not a high school graduate, but they are a homeowner.

The event "is not a high school graduate but is a homeowner" is a logical statement that can be represented in symbolic form. The statement is composed of two individual statements: "the person is not a high school graduate" and "the person is a homeowner." These statements are represented by the symbols G and H, respectively. The conjunction symbol (∧) connects the two statements and indicates that both statements must be true for the entire statement to be true. The negation symbol (~) is used to represent the statement "not a high school graduate." Thus, the symbolic form of the statement is ~G ∧ H.

Know more about tilde symbol  here:

https://brainly.com/question/30798335

#SPJ11

Answer:

2^0

Step-by-step explanation:

When you are dividing 2 exponents with the same base (in this case, 2) you subtract them. 2^5 ➗ 2^5 => 2^(5-5) = 2^0 => which is equal to 1, but the answer here would be 2^0.

There are two ways to go about this problem.

The first way, the generic way, is to know that,

\(\frac{a^n}{a^m}=a^{n-m},a\neq0\).

So,

\(\frac{2^5}{2^5}=2^{5-5}=\boxed{2^0}\).

The second way is to realise that both numerator and denominator are equal and when diving two equal numbers you obtain 1. (except when diving zeros) aka,

\(\frac{a}{a}=1, a\neq0\)

And 1 equals to any number raised to the power of zero,

\(a^0=1,a\neq0\)

So we just have to say that the 1 we got is rewritten as some base to the power of zero.

Since our base needs to be 2, we just simply say,

\(2^0\).

Et Viola.

Hope this helps.

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

Learn more about equation of line here: brainly.com/question/2564656

#SPJ1

The rate per year is 1.197

The probability that exactly three serious earthquakes occur is 0.18

The standard deviation is 0.086

The median is 0.579

Given that

Mean = 437

So, we have

Rate, λ = 437/Year

λ = 437/365

λ = 1.197

The poisson distribution probability formula is

\(P(x) = \frac{\lambda^x * e^{-\lambda}}{x!}\)

So, we have

\(P(3) = \frac{1.197^3 * e^{-1.197}}{3!}\)

P(3) = 0.086

This is calculated as

SD = √Mean

So, we have

SD = √437

Evaluate

SD = 20.90

This is calculated as

Median = (ln 2) / λ

So, we have

Median = (ln 2) / 1.197

Median = 0.579

Read more about probability at

brainly.com/question/31649379

#SPJ4

Answer:

that's a false question because when I solve it and use Microsoft math solver it says the question is false because cancel out 12 on both sides .since 12 is positive, the inequality direction remains the same

Answer:

Not sure if these are the fractions, tell me if they are wrong.

8/8 = 1

3/3 = 1

30/10 = 3

9/3 = 3

A set of equations is the basis for this query. The number of bracelets and necklaces manufactured are calculated using the equations x + y = 13 and 8x + 24y = 168, respectively.

⇒ x + y = 13

⇒ 8x + 24y = 168

To Learn more About equations refer to:

https://brainly.com/question/22688504

#SPJ1

The system of equations that is  used to determine the number of bracelets made and the number of necklaces made is  x + y = 21 and  21x + 16y = 130

The amount of gold in each bracelet is 5 grams and the amount of gold in each necklace is 16 grams. The jeweler made a total of 21bracelets and necklaces using 130 grams of gold.

According to the question,

Let x represent the number of bracelets  and  y represent the number of necklaces that the jeweler made.

The jeweler made a total of 21 bracelets. This means that

⇒ x + y = 21

It is given that, the amount of gold in each bracelet is 21 grams and  in each necklace is 16 grams. The jeweler made a total of 21 bracelets and necklaces using 130 grams of gold. This means that,

⇒ 21x + 16y = 130

Therefore, the system of equations that is  used to determine the number of bracelets made and the number of necklaces made is  x + y = 21   and  8x + 16y = 168.

To learn more about system of equation refer to:

https://brainly.com/question/25869125

#SPJ1

Answer:

6 x 3= 18

162/18=9

Each student sells 9 balloons.

Step-by-step explanation:

Answer:

9 balloons sold per student

Step-by-step explanation:

6 total groups 3 per group

6*3=18

18 students selling balloons

162/18=9

9 balloons sold per student

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

To learn more about the Inverse of the Statement:

https://brainly.com/question/29077755

https://brainly.com/question/28040561

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

Number of ways to roll 5 distinct dice and get 3 of a kind is 7200

To find the number of ways to roll 5 distinct dice and get 3 of a kind:

Choose which number appears three times. There are 6 possible choices.

Choose which three dice will show the chosen number. There are 5 ways to choose the first die, 4 ways to choose the second die, and 3 ways to choose the third die, for a total combinations 5 x 4 x 3 = 60 ways.

Choose the numbers that the remaining two dice will show. There are 5 choices for the first die and 4 choices for the second die, but the order in which we choose them doesn't matter, so we need to divide by 2 to correct for overcounting. This gives us (5 x 4) / 2 = 10 ways.

Choose which of the two remaining dice will show the first chosen number. There are 2 choices.

Multiply all of the choices together: 6 x 60 x 10 x 2 = 7,200.

Therefore,  there are 7,200 ways to roll 5 distinct dice and get 3 of a kind.

Learn more about combinations here

brainly.com/question/2295036

#SPJ4

Answer:

all whole number are integers

When the degrees of freedom equal 9, the t-value from the t-table is 2.3060.

To determine the t-value from the t-table, the number of degrees of freedom (df) and the required significance level (α) must first be identified. The t-distribution table is a tabular presentation of the probabilities of the t-distribution with different degrees of freedom and significance levels. The t-distribution table is used to determine the probability of a certain test statistic or value (t).

It is important to note that, for a two-tailed test, the α should be split in half and the area under each tail of the distribution is then calculated separately. When looking up the value in the t-distribution table, it is important to ensure that the right column is selected for the chosen significance level (α).The t-value is then read off the t-distribution table as the value in the corresponding row and column for the degrees of freedom (df) and significance level (α).

When the degrees of freedom equals 9, the t-value from the t-table is 2.3060.

To know more about t-table click on below link :

https://brainly.com/question/30762927#

#SPJ11

Answer:

Its true

Step-by-step explanation:

make sure too look at the question you have and if its the same one, so if my answer was wrong for you then its because ur question was different from this one.

Answer:

AC intersect with DR at A

Answer:

  -4.697 in/s

Step-by-step explanation:

You want to know the rate of change of radius of a cone 11 inches high with a radius of 5 inches and a volume that is decreasing at the rate of 541 cubic inches per second.

The volume of a cone is given by ...

  V = π/3r²h

The rate of change is found by implicit differentiation:

  V' = (π/3)((2rr')h +r²h')

Here, the height is constant, so h' = 0. Solving for r', we find ...

  r' = 3V'/(2πrh)

Using the given values of V', r, and h, we find the rate of change of radius to be ...

  r' = 3(-541 in³/s)/(2π(5 in)(11 in)) = -1623/(110π) in/s ≈ -4.69652 in/s

The radius is decreasing at about -4.697 inches per second.

__

Additional comment

The initial radius of the cone is irrelevant to the problem, since we want to know the rate of change at a specific different radius. Whether the cone is inverted or not is also irrelevant to its volume.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let’s find the area of the circle.

A = 3.14(7)^2 = 153.86

Now the area of the square:

14•14=196

Now we find the area of the shaded region:

196 - 153.86 = 42.14

the shaded region is 42.14 cm

The type of function that fits the given description is D. Exponential decay.

In an arithmetic sequence, the difference between consecutive terms remains constant. If the y-values of a function form an arithmetic sequence that decreases in value, it means that the difference between consecutive terms is negative.
Exponential decay functions exhibit a constant ratio between consecutive terms, resulting in a decreasing sequence. As the x-values increase, the y-values decrease at a consistent rate. This is represented by the formula y = ab^x, where b is a constant between 0 and 1.
In contrast, linear functions have a constant difference between consecutive terms, resulting in an arithmetic sequence. However, since the y-values are decreasing, the function cannot be linear.
Exponential growth functions, on the other hand, have a constant ratio between consecutive terms, but they result in an increasing sequence. The y-values of an exponential growth function increase as the x-values increase.

Therefore, based on the given information, the most appropriate type of function is D. Exponential decay.

For more similar questions on Exponential decay.

brainly.com/question/14269899

#SPJ8

Let the integer be X

2x+64=99

2x= 99-64

2x= 34

x=34÷2

X= 17.5

The length of each leg of a right triangle given that one angle is 22° and the length of the hypotenuse is 10 inches are 3.75 and 9.27 inches respectively.

In order to determine the length of the opposite side and adjacent side, we would apply both the cosine and sine trigonometry ratio because the given side lengths represent the hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp

Where:

By substituting the parameters into the sine trigonometry ratio formula, we have the following;

sin(θ) = Opp/Hyp

sin(22) = y/10

y = 10sin(22)

y = 3.75 inches.

For the adjacent side, we have:

cos(θ) = Adj/Hyp

cos(22) = x/10

x = 10cos(22)

x = 9.27 inches.

Read more on right angle triangle and trigonometric function here: brainly.com/question/24349828

#SPJ1