Energy Drinks: Popular energy drinks contain green tea extract and caffeine. Do these energy drinks help you lose weight by increasing your metabolism? Researchers at a medical school designed an experiment to determine the chemical effects of green tea and caffeine on energy metabolism in healthy, lean, young adults. Researchers randomly assigned participants to 2 treatments. One group drank Formula A, a beverage with green tea and caffeine. The other group drank Formula B, a beverage with none of these ingredients but colored to look like Formula A. The beverages were blinded at the production site, so the experiment was double-blind. The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers fed each participant the same diet. On the 3rd day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. Which confounding variable is controlled by randomly assigning individuals to treatments? the effect of green tea and caffeine on energy metabolism the effect of green tea and caffeine on energy metabolism the physical fitness level of the participants the physical fitness level of the participants the time of day participants drank the beverages the time of day participants drank the beverages

Answer:

a) alternate interior angles theorem

b) OXP ≅ XOL

c) XO ≅ OX

d) reflexive property  (i'm not sure about this one)

e) ΔXOP ≅ ΔOXL

f) cpctc

make sure to double check the fourth one

Answer:

f(x) = \(\frac{3}{2}\) x - 1

Step-by-step explanation:

a linear function has slope- intercept form

f(x) = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (- 2, - 4) ← 2 ordered pairs from the table

m = \(\frac{-4-5}{-2-4}\) = \(\frac{-9}{-6}\) = \(\frac{3}{2}\)

the point (0, - 1 ) from the table represents the y- intercept , so c = - 1

f(x) = \(\frac{3}{2}\) x - 1 ← represents the function

Answer:

x<1

Step-by-step explanation:

[1x + 1]< 2

Simplify both sides of the inequality.

x+1<2

Subtract 1 from both sides.

x+1−1<2−1

x<1

Answer:

x<1

On the graph line, the circle is open on number 1 and is going left

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

Answer:

26

Step-by-step explanation:

complementary means two angles that add up to 90 degrees

90-38=52

52÷2=26

to check work you can do 26×2 (since there's 2x) = 52

52+38=90

Answer:

Step-by-step explanation:

The scouting troop can collect a maximum of **15 pounds of aluminum** and **20 pounds of paper** for a total weight of **35 pounds** ¹.

If the troop earns $2.50 per pound for aluminum and $0.50 for paper, the maximum profit they can make is:

```

(15 pounds of aluminum x $2.50 per pound) + (20 pounds of paper x $0.50 per pound) = $37.50 + $10 = $47.50

```

Therefore, the correct answer is **$45** ¹.

Answer:

adult tickets = 118

student tickets = 354

Step-by-step explanation:

a = number of adult tickets

s = number of student tickets

a + s = 472

3a = s

substitute for s

a + 3a = 472

reduce

4a = 472

divide by 4

4a/4 = 472/4

a = 118

s = 354

Answer:

C

Step-by-step explanation:

All sides make a cube

Answer:

D

Step-by-step explanation:

Answer:

It would be 7a-3b.

Answer:

10 inches

Step-by-step explanation:

Answer:

796871

Step-by-step explanation:

Based on the given conditions, formulate:

5000 x (1 - (1 + 10%) 10)

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

           1 - (1 + 10%)                                                                          

Evaluate the equation/expression:

796871.23005

Find the closest integer to

798871.23005

=  796871

Answer:

1/2

Step-by-step explanation:

To find the slope, we can use the slope formula

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

   = ( 2-3)/(0-2)

   = -1/-2

  = 1/2

Answer:

Slope = 0.5

Step-by-step explanation:

Given: Line passes through (2, 3) and (0, 2)

\(\text{Slope formula} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_2 - y_1}{x_2 - x_1}\)

Substitute the coordinates in the formula and solve for the slope;

    \(\implies \text{Slope formula} = \dfrac{y_2 - y_1}{x_2 - x_1}\)

    \(\implies\text{Slope formula} = \dfrac{2 - 3}{0 - 2}\)

    \(\implies\text{Slope formula} = \dfrac{-1}{-2}\)

    \(\implies\text{Slope formula} = \dfrac{1}{2} = 0.5\)

Therefore, the slope of the line is 0.5.

Answer:

\(y=-3(x+7)+2\)

Step-by-step explanation:

Alright, so the first mistake people make is to try to visualize this graph.  For the sake of the problem, it does not matter in the slightest.

To start, we have y=f(x).

The first change is a vertical stretch.  These are represented outside the parentheses.  Meaning, the new stretched equation would be y=3(x).  The three does not replace the "f", just no one would write the f into the equation as it is implied.

Next, the graph is reflected across the x-axis.  This means that there is a negative outside of the parentheses.  The new equation would be -3(x).  As stretches are always greater than 1 and shrinks are between 0 and 1, it is clear the negative denotes a reflection.

Translations to the left are denoted as positives inside parentheses.  In this case, left 7 would be -3(x+7).

Finally, upwards translations are positive numbers shown following the parentheses.  Up two would make your final equation -3(x+7)+2.

Answer:

y= -x - 8

Step-by-step explanation:

To write an equation in slope-intercept form, we naturally need both the slope and the y-intercept. Here, our y-intercept is -8, and our slope is -1. The general form of a line in slope intercept form is y = mx + b, where m is the slope and b is the y intercept. Using our values of m = -1 and b = -8 then gives us the equation y = -x - 8.

Answer:

  A)  6.86×10⁴

Step-by-step explanation:

You want to write 68600 in scientific notation.

The number 68600 can be written in expanded form with exponents as ...

  68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰

The left-most term of this sum tells you the exponent in scientific notation:

  68600 = 6.86×10⁴

Answer:

1/5

Step-by-step explanation:

2 squares to 10 traingles is 2/10

But if you divide both top and bottom by 2, it simplifies to 1/5

Answer:

meh dont know how to do this tbh

Step-by-step explanation:

Answer:

AHHHHHHHHH

Step-by-step explanation:

Answer:

4, 4, and 8

Step-by-step explanation:

2 cups * 2 marshmallows per cup = 4 marshmallows

8 marshmallows / 2 marshmallows per cup = 4 cups of hot cocoa

16 marshmallows / 2 marshmallows per cup = 8 cups of hot cocoa

Answer:

\(let \: the \: number \: be \:2 x \\ 2x - x = 19 \\ x = 19 \)

This is the answer

if wrong please correct me ! :)

Answer:

57°

Step-by-step explanation:

Given line is straight line

then whole angle is 180°

then 180 - 123 = a = 57

Answer:

Step-by-step explanation:

What we know is:

We don't know:

So, we add both angles up to 180°:

Lets solve 180 - 123:

Answer:the answer is 1/16

so none of the above

Step-by-step explanation:

The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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Answer:

what is 378÷2=

Step-by-step explanation:

and can you explain it for a 4th grader

Answer:

c

Step-by-step explanation:

Loretta Adman needs to find the center of the triangle  formed by the three roads.

What is Center, Incenter and Circumcenter of the triangle?

Incenter I, whose point is equidistant from the triangle's sides, and circumcenter O, whose point is equidistant from each of the triangle's vertices. A triangle center is a point in the plane that resembles the centers of squares and circles in some ways, meaning that it is roughly in the centers of the figure.

Given:  Three towns are linked by three straight roads.

Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads.

The center is in the middle of the figure by some measure.

Therefore, Loretta Adman needs to find the center of the triangle  formed by the three roads.

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Answer:

the  possible number would be 159 in

Step-by-step explanation:

Answer:

0.235 = 0.24

13.467 = 13.47

0.24+13.47=13.71