A medical researcher studies the impact of energy drinks on the risks of high blood pressure in people above 40 years of age. He enrolls two groups of participants consisting of men and women between the ages of 40 to 50 years. Both the groups are asked to come in for the study and were told to sit in separate rooms. One of the groups is offered to drink a placebo energy drink whereas the other group is offered red bull. The participants were also given two drinks to carry home and drink at an interval of 7 hours. The initial blood pressure levels of each participant were checked, documented, and compared to their blood pressure levels before the start of the experiment. The group that was offered the placebo drink showed a lesser increase in blood pressure levels than the group that drank the red bull.
Answer the following questions:
What is the independent variable?
How many levels are there for the independent variable?
What is the dependent variable?
What is the confound?

Answer:

y -4 = 3(x-3)

Step-by-step explanation:

The point slope form of an equation is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y -4 = 3(x-3)

The statement that would help to show that ∠2 ≅ ∠4 include the following: B) ∠1 is supplementary to ∠2 and ∠1 is supplementary to ∠4

What is a supplementary angle?

In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of the given angles are supplementary angles:

m∠1 + m∠2 = 180° (Linear pair theorem).

m∠1 + m∠4 = 180° (Linear pair theorem).

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Complete Question:

Consider the diagram of two intersecting lines and the angles that are formed.

Which statement will help to show that ∠2≅∠4?

a.)∠1 is complementary to ∠2,and ∠1 is complementary to ∠4.

b.) ∠1 is supplementary to ∠2, and∠1 is supplementary to ∠4.

c.) m∠1+m∠3=90°.

d.) ∠1 is vertical to ∠2, and ∠1 is vertical to ∠4.

The area of the shaded sector of the given circle would be = 42,593.5 in²

To calculate the area of the given sector the formula that should be used is given as follows;

The area of a sector =( ∅/2π) × πr²

where;

π = 3.14

r = 12 in

∅ = 60°

Area of the sector = (60/2×3.14)b × 3.14× 12×12

= 94.2× 452.16

= 42,593.5 in²

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Answer:

blue is about 31.4

Step-by-step explanation:

orange is about 15.7

Answer

d=25+15x I think

Answer:

1.5

Step-by-step explanation:

To find the mean, we must add all of our terms, and then divide by the number of terms.

\(1.8+1.7+1.3+1.1+1.2+1.6+1.8\)

Solve:

\(1.8+1.7+1.3+1.1+1.2+1.6+1.8=10.5\)

Since we have seven terms, we must divide our total (\(10.5\)), by seven.

\(10.5\) ÷ \(7\)

Solve:

\(10.5\) ÷ \(7=1.5\)

Therefore, the mean is \(1.5\)

Answer:

1.5

Step-by-step explanation:

mean=sum of the terms/no of terms

mean= 1.8+1.7+1.3+1.1+1.2+1.6+1.8 /7

mean=10.5/7

to remove the decimal point, multiply 10 in both numerator and denominator since there is  one digit after the decimal point in 10.5

mean=10.5×10/7×10

mean=105/70

mean=3/2

mean=1.5

hope it helps you!

The required difference of the polynomial functions is -9s^2 + 4s - 2

Given the following difference of polynomial expressed as:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

We are to find the difference

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

Expand

–6s^2 + 12s – 8 - 3s^2 - 8s + 6

Collect the like terms

–6s^2- 3s^2 + 12s - 8s - 8 + 6

-9s^2 + 4s - 2

Hence the required difference of the polynomial functions is -9s^2 + 4s - 2

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complete question

Find each difference.

(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

–9s2 + 4s – 14

–9s2 + 4s – 2

–9s2 + 20s – 14

–9s2 + 20s – 2

Answer:

[D] $63.55

Step-by-step explanation:

GIven;

To FInd:

What was her after-tax total?

Note:

After-tax total = Include tax

Solve;

$59.95 × 6%=3.597

Round ⇒ 3.60

$59.95 + 3.60 = 63.55

Hence, Joan after-tax total is [D} $63.55

~Learn with Lenvy~

The total amount of income Xander earns from selling y books algebraically is C = 25000 + xy + 0.08y.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenarios.

In this situation, Xander writes math textbooks that sell x dollars each, he received a bonus of $25,000 for signing a contract, and he receives 8% commission on each book sale.

c = total amount

y = number of books.

The total amount of income will be:

= 25000 + (x × y) + (8% × y)

= 25000 + xy + (0.08 × y)

C = 25000 + xy + 0.08y

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Answer:

the answer is 26

Step-by-step explanation:

3x4=12

38-12=26

Answer:

21.21

Step-by-step explanation:

Area of a circle is A = π r^2

Variables:

r = 18/2 = 9

θ = 30 deg

Find the area:

A = π r^2

A = π 9^2

A = 254.47

Find the area of the sector:

θ/360 * A

= 30/360 * 254.47

= 21.21

Answer:

5.2561

step by step explanation:

using BODMAS, multiplication comes before addition.

Therefore,

\( \sqrt{1.13 + (2.84 \times 9.33)} \)

\( \sqrt{1.13 + 26.4971} \)

\( \sqrt{27.6272} \)

Therefore the answer is

5.2561

Step-by-step explanation:

k(-5)= 6.(-5)+100

=30 + 100

=70

Answer:

70

Step-by-step explanation:

We can substitue -5 in for x:

k(-5) = 6(-5) + 100 = 70.

Answer:

 y = 2x - 20

Step-by-step explanation:

where m is slope and b is y-intercept.

  y + 1 = 2(x - 3)

Write this equation in y = mx + b form.

 y + 1 = 2x - 2*3

y + 1 =2x - 6

      y = 2x - 6 - 1

      y = 2x - 7

m =2

Parallel lines have same slope.

 Slope of the required line = 2

  y = 2x + b

The point (9,-2) passes through the line. Substitute in the above equation and find the value of 'b'.

          -2 = 9*2 + b

        -2   = 18 + b

    -2 - 18 = b

        \(\sf \boxed{b = -20}\)

Equation of the required line:

            y = 2x - 20

$1553.91

Step-by-step explanation:

839.95 ×.85 = 713.96

839.95 + 713.96 = 1553.91

Where the above conditions are given,  the correct option is: Plan 1 is a better deal for more than 5 cards purchased.

To determine   which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.

Let's calculate the   total cost for different numbers  of game cards.

For Plan 1  -

- Admission fee  - $5 (fixed)

- Cost per game card  - $1

For Plan 2  -

- Admission fee  - $2.50 (fixed)

- Cost per game card  - $1.50

Now, let's compare the total cost for different numbers of game cards  -

1. If you purchase 1 game card  -

  - Plan 1  - $5 (admission fee) + $1 (cost per game card) = $6

  - Plan 2  - $2.50 (admission fee) + $1.50 (cost per game card) = $4

2. If you purchase 5 game cards  -

  - Plan 1  - $5 (admission fee) + $5 (cost for 5 game cards) = $10

  - Plan 2  - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10

3. If you purchase 8 game cards  -

  - Plan 1  - $5 (admission fee) + $8 (cost for 8 game cards) = $13

  - Plan 2  - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50

Based on these calculations, we can conclude that  -

- Plan 1 is a better deal for more than 5 cards purchased.

- Plan 2 is a better deal for more than 8 cards purchased.

Therefore, the correct option is  - Plan 1 is a better deal for more than 5 cards purchased.

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Answer:

i don't get this type of math yet

Step-by-step explanation:

The continuity equation is satisfied and the flow is incompressible.

To check if the continuity equation is satisfied, we need to take the partial derivatives of the stream function with respect to x and y and see if they satisfy the continuity equation

Continuity equation: ∂u/∂x + ∂v/∂y = 0

where u and v are the x and y components of the velocity field, respectively.

From the definition of the stream function, we have

u = ∂Ψ/∂y = -2

v = -∂Ψ/∂x = -(-2) = 2

Taking the partial derivatives of u and v with respect to x and y, we have

∂u/∂x = 0, ∂v/∂y = 0

Substituting these values into the continuity equation, we get

∂u/∂x + ∂v/∂y = 0 + 0 = 0

Since the continuity equation is satisfied (resulted in zero), the flow is incompressible.

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The given question is incomplete, the complete question is:

The stream function for a two-dimensional, nonviscous, incompressible flow field is given by Psi = -2(x-y) where the stream function has the units of ft^2/s with x and y in feet. (a) Is the continuity equation satisfied?

Answer:

i) 1/4 ii) 3/4 ii) 0

Answer:

it is either B or C

Step-by-step explanation:

Combine Like Terms

Answer:

Since both amounts in the cups are the same, you'll use the = sign.

The regular price is 275.82, according to given question.

What do you mean by regular price?

Regular price is the cost at which a provider continuously and actively sells goods or services to the general public over an extended period of time.

According to data in the given question,

We have the given information:

Sale discount 33% and the sale price 184.80.

Now, we will calculate the regular price:

Let Regular Price = x

33% Discount of x = 33/100 * x

33% Discount of x = 33x/100

Regular price - 33% Discount = Sale price

x-33x/100=184.80

(100x-33x)/100=184.80

67x/100=184.80

67x=18480

x=18480/67

x=275.82

Therefore, the regular price is 275.82.

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The residual in this case is 4.72%, which is calculated by taking the difference between the predicted value (32.54%) and the actual value (27.82%).

The political scientist's least squares regression equation predicted that 32.54% of people in Wyoming would vote for Obama in 2012. However, the actual percentage of people who voted for Obama in Wyoming in 2012 was 27.82%, which was lower than the predicted value. This difference between the predicted and actual value is the residual, which in this case is 4.72%. This suggests that the least squares equation was not very accurate in predicting the voting habits in Wyoming for the 2012 election.

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The opposite of a number is derived when the value moves in the opposite direction on the number line. Hence the opposite of 10 on the number line is -10 because you simply move 10 units to the left of the number line. So to put it simply, the opposite of a number is the same number with a negative value. However the absolute value of a number is the positive value of that same number. Hence when a number is expressed in its absolute value (usually written as |x|, then whether its positive or negative, its value would be expressed as a positive. Which means for example, the absolute value of -10 is 10, (or | -10 | = 10).

The opposite of a number and its absolute value is always the same, because the value of any number in its absolute form is always positive.

Note that two numbers are opposites if they have the same absolute value.

Answer:

40/8 or 5

Step-by-step explanation:

Answer:

There are three 1/4 lb kittens.

There are four 3/8 lb kittens.

There are three 1/2 lb kittens.

There are two 5/8 lb kittens.

So the combined weight is: 3(1/4) + 4(3/8) + 3(1/2) + 2(5/8) = 5 lbs

Let me know if this helps!

The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.



To determine the number of significant figures in a calculation, we follow the rules for significant figures:

1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).

Now, multiplying this result by \(3.1416\) gives \(329.5719744\).

The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.

According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.

Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.

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The result of the division is x³ + x² + x + 1, and there is no remainder.

To divide (x⁴ - 1) by (x - 1), we can use long division:

           x³ + x² + x + 1

     _____________________

x - 1 | x⁴ + 0x³ + 0x² + 0x - 1

         -(x⁴ - x³)

         ____________

                 x³ + 0x²

             -(x³ - x²)

             ____________

                     x² + 0x

                 -(x² - x)

                 ____________

                         x - 1

                     -(x - 1)

                     __________

                              0

The result of the division is x³ + x² + x + 1, and there is no remainder.

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About \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

Used the concept of correlation coefficient that states,

The proportion of the variation in y that can be explained by the linear relationship between x and y can be determined by squaring the correlation coefficient

Given that,

When paired variables are considered, the linear correlation coefficient is,

\(r=0.897\)

Hence the proportion of the variation in y explained by x is,

\(r^2 = (0.897)^2\)

\(r^2 = 0.804609\)

This means that about \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

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Answer:

7

Step-by-step explanation:

the answer is 7 because if there is 7 people then there will be 7 different ways to arrange the chairs in the table

Answer: The operation preformed is multiplication.

Step-by-step explanation: When you have a integer that is raised to a power, you must evaluate that integer first. For example, if you are asked to solve 2^3 + 4^7, you must first multiply. 2^3= 8 and 4^7= 16,384 then we must add these two products together to get 16,392.

How to find the product of to the power number: 8^3. We take eight and times it by it's self 3 times to get 512.

Hope this helps!