In this experiment, the type of nail polish represents B. the explanatory variable.
The nail polish brands—Bella, Primrose, Shine, and Glo—are the explanatory variables in the experiment that is being discussed. These are the many conditions or treatments that are being investigated to find out how they affect a certain result.
The primary aim of the experiment is to compare how each type of nail polish performs or is perceived, which requires manipulating the nail polish type and observing the results.
The response variable (or dependent variable) is the outcome that is measured in response to the explanatory variables. This could be factors like durability, appearance, user satisfaction, or any other measurable characteristic related to the nail polish.
Thus, the nail polish brands are the explanatory variables because they are the categories being compared. The response variable would be whatever metric is used to evaluate the performance or characteristics of these nail polishes.
Complete Question:
Select the correct answer. A cosmetics company decides to compare its new nail polish product, Bella, with three other nail polish bra experiment, participants are divided into four groups. Each group of women is asked to wear nail polish from one of the four brands. The results for Primrose, Shine, and Glo are compared with those for Bella, and a conclusion is drawn. What does the type of nail polish represent in this case? A. the control group B. the explanatory variable C. the response group D. the response variable
use the babylonian method to approximate square root of 24 to the nearest hundredth.
the lowest elevation in Long Beach California is 7 feet below sea level the elevation of Death Valley is about 40 times lower than the elevation of Long Beach what is the approximate elevation of Death Valley
[tex] - 7 - 40 [/tex]
The approximate elevation of Death Valley will be 280 feet.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The lowest elevation in Long Beach California is 7 feet below sea level the elevation of Death Valley is about 40 times lower than the elevation of Long Beach.
The approximate elevation of Death Valley will be
⇒ 7 x 40
⇒ 280 feet
The approximate elevation of Death Valley will be 280 feet.
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The gemstone shown is a square pyramid that has a base with sides 3.4 inches long. The slant height of the pyramid is 3.8 inches. Find the surface area of the gemstone?
It is recommended that one fire extinguisher be available for every 6,000 square feet in a building. Write and solve an equation to determine x, the number of fire extinguishers needed for a building that has 135,000 square feet.
Answer:
[tex]6000x=135000[/tex]
23 fire extinguisher.
Step-by-step explanation:
Let x be the number of fire extinguishers.
We have been given that one fire extinguisher be available for every 6,000 square feet in a building. So the total area covered by x extinguisher will be 6,000x.
Since the building has an area of 135,000 square feet. This means that that total area covered by x extinguisher is 135,000 square feet. We can represent this information in an equation as:
[tex]6000x=135000[/tex]
Therefore, the equation [tex]6000x=135000[/tex] represents the number of fire extinguishers needed for a building that has 135,000 square feet.
Now we will solve for by dividing both sides of our equation by 6000.
[tex]\frac{6000x}{6000}=\frac{135000}{6000}[/tex]
[tex]x=\frac{135}{6}[/tex]
[tex]x=22.5[/tex]
Since we can not have 0.5 of a fire extinguisher, so we will round up our answer as:
[tex]x\approx 23[/tex]
Therefore, 23 fire extinguisher are needed for the building.
line AB is parallel to line CD and line CD is perpendicular to line EF what can you conclude about AB and EF?
If line AB is parallel to line CD and line CD is perpendicular to line EF, we can conclude that line AB is also perpendicular to line EF.
Explanation:If line AB is parallel to line CD and line CD is perpendicular to line EF, we can conclude that line AB is also perpendicular to line EF.
The reason for this is that if two lines are parallel to the same line, they are parallel to each other. In this case, we have line AB and line CD both parallel to line EF. Then, because line CD is perpendicular to line EF, line AB must also be perpendicular to line EF.
On a loaf of bread, there is a patch of mold. Every day, the patch doubles in size. If it takes 40 days for the patch to cover the entire loaf of bread, how many days would it take for the patch to cover half of the loaf of bread?
39 days would it take for the patch to cover half of the loaf of bread
We have given that on a loaf of bread, there is a patch of mold. Every day, the patch doubles in size.
Number of days for the patch to cover the entire loaf of bread = 40 days
if we go forward, the mold doubles in size in one day and if we go backwards the mold covers half the size in one less day.
So, number of days for the patch to cover the entire loaf of bread - 1
=40 — 1
= 39
Therefore, it would takes 39 days for the patch to cover half of the loaf of bread.
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Considering the mold's exponential growth, it doubles every day. Hence, the mold would have covered half of the loaf of bread one day before it covers the entire loaf, which is on the 39th day.
Explanation:The subject of this question is a mathematical concept known as exponential growth, which is when a quantity increases by the same proportion over a given period of time. Here, on a loaf of bread, a patch of mold is doubling in size every day, which is a classic example of exponential growth.
In the scenario provided, it takes 40 days for the mold to cover the entire loaf of bread. Given the nature of exponential growth, if the size of the mold doubles every day, then the day before the whole loaf is covered, half of the loaf must be covered. Therefore, it would take 39 days for the patch to cover half of the loaf of bread.
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Are there any limits to the value of Sine, Cosine and Tangent? if so, what are they and why?
Final answer:
Sine and cosine functions are limited to values between -1 and 1, as they represent ratios of sides in a right triangle and cannot exceed the length of the hypotenuse. The tangent function, however, can have values from negative to positive infinity since it represents the ratio of the sine to the cosine, and as the cosine approaches zero, the tangent value can approach infinity.
Explanation:
There are indeed limits to the values of sine, cosine, and tangent functions based on their definitions in a right triangle. For a right triangle, where x is the adjacent side, y is the opposite side, and h is the hypotenuse:
The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, the sine function has a value range between -1 and 1 because the length of a side of a triangle cannot exceed the length of the hypotenuse.
The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. Like sine, the cosine values are also confined between -1 and 1.
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side. Unlike sine and cosine, tangent does not have a maximum finite value because as the angle approaches 90 degrees, the length of the adjacent side approaches zero, making the ratio infinitely large.
The magnitude of the sine and cosine functions are capped due to the properties of a circle (since all right triangles can be inscribed in a circle) and the Pythagorean theorem, which together imply that the hypotenuse will always be greater than or equal to the lengths of the other two sides. In contrast, the tangent function can grow without bound as it is the sine function divided by the cosine function, and as the cosine of an angle approaches zero, the division can tend toward infinity. This is why the tangent function can have a much larger range of values and includes infinity and negative infinity even though sine and cosine are limited to the range [-1,1].
Which graph represents the function f(x)=2x/x^2-1
Solution:
we have been asked to find the graph of the equation
[tex]f(x)=\frac{2x}{x^2-1}[/tex]
We can get the graph by simply taking some values for the variable x and working out the value of the variable y. Then we just need to put those values on the graph and connect.
when[tex]x=-3, y=f(-3)=\frac{2\times(-3)}{(-3)^2-1}=\frac{-6}{8}=-0.75[/tex]
when[tex]x=-2, y=f(-2)=\frac{2\times(-2)}{(-2)^2-1}=\frac{-4}{3}=- 1.33[/tex]
when[tex]x=0, y=f(0)=\frac{2\times(0)}{(0)^2-1}=0[/tex]
when[tex]x=2, y=f(2)=\frac{2\times(2)}{(2)^2-1}=\frac{4}{3}= 1.33[/tex]
when[tex]x=3, y=f(3)=\frac{2\times(3)}{(3)^2-1}=\frac{6}{8}=0.75[/tex]
Also function is not defined at [tex]x=\pm1[/tex]
Now put theses value on the graph and connect the points, we will get the graph as attached.
What is the length of a line segment joining the points (5, -1) and (10, -1)
Answer:
Let A = (5, -1) (x1, y1)
Let B = (10, -1) (x2, y2)
Length AB =
[tex] = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] = \sqrt{ {(10 - 5)}^{2} + {( - 1 + ( - 1))}^{2} } [/tex]
[tex] \\ = \sqrt{ {(5)}^{2} + {( - 2)}^{2} } [/tex]
[tex] = √25 - 4[/tex]
[tex] = √21[/tex]
тнαηк уσυ!What will the range for the function f(g)=3g-5 for the domain {-1.5, 2, 4}? Please show your work!
Suppose a van gets 22 mi/gal. The distance traveled D(g) is a function of the gallons used. The rule D(g) = 22g should be used for all parts.
Part A: How far did the van travel if it used 10.5 gallons of gas? PLEASE SHOW YOUR WORK!
Part B: How far did the van travel if it used 20 gallons of gas? PLEASE SHOW YOUR WORK!
consider the quadratic equation x^2=4x-5.How many solutions does the equation have?
javier has 4 juice boxes three are grape flavored write two equivalent fractions thatdescribe the part of the juice boxes that is grape
Kevin calculated the product of 3.2 × 104 and 3.6 × 102 as 11.52 × 106. Which is the next step that Kevin should apply to his solution?
The next thing Kevin should do is to write the result in standard form
Scientific notationsThe standard form of scientific notation is expressed as [tex]A \times 10^n[/tex] where:
A is between 1 and 10n is an integerGiven the product of 3.2 × 10^4 and 3.6 × 10^2 as 11.52 × 10^6, the next thing Kevin should do is to write the result in standard form as shown:
[tex]11.52 \times 10^6 = 1.152 \times 10 \times 10^6\\ 11.52 \times 10^6 = 1.152 \times 10^7[/tex]
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Ethan has a small coin collection. Nine of his coins he collected from traveling. Six of his coins he received from friends. What is the ratio of coins he collected from friends to the total coin in Ethan's collection?
2:3
2:5
9:6
1:5
Answer:
2:5!
Step-by-step explanation:
Have a great day!
What is the slope of the line which passes through (4, 5) and (0, 1)?
Undefined
1
0
4
Answer:
1
Step-by-step explanation:
what is the annual salary for someone who earns a biweekly salary of $927.00?
Coffee costs $12 per case and tea cost $8 per case. If an order comes in for 250 cases for a total of $2,600 how many cases of coffee were ordered
To find the number of cases of coffee ordered, we can set up a system of equations using the total cost and number of cases. The solution is 150 cases of coffee.
Explanation:To solve this problem, we can set up a system of equations. Let's assume the number of cases of coffee ordered is represented by x. Since coffee costs $12 per case, the total cost of the coffee would be $12x. And since tea costs $8 per case, the total cost of the tea would be $8(250 - x), since the total number of cases is 250. We know that the total cost of the order is $2,600, so we can set up the equation:
$12x + $8(250 - x) = $2,600
Simplifying this equation, we get:
$12x + $2000 - $8x = $2,600
Combining like terms, we have:
$4x + $2000 = $2,600
Subtracting $2000 from both sides, we get:
$4x = $600
Dividing both sides by $4, we find:
x = 150
Therefore, 150 cases of coffee were ordered.
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what does this expression represent in words 12f+24
factor completely
81x^2-27x-18
find the surface area of a cube that has edges 4 inches long
The function C(x) = 17.5x - 10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon.
a. How much cost to buy 10 tickets?
b. How many tickets can you buy with $130?
The cost function is a linear function
The cost of 10 tickets is $165You can buy 8 tickets with $130The function is given as:
[tex]\mathbf{C(x) = 17.5x - 10}[/tex]
(a) The cost of 10 tickets
This means that: x= 10
So, we have:
[tex]\mathbf{C(x) = 17.5x - 10}[/tex]
[tex]\mathbf{C(10) = 17.5 \times 10 - 10}[/tex]
[tex]\mathbf{C(10) = 175- 10}[/tex]
[tex]\mathbf{C(10) = 165}[/tex]
Hence, the cost of 10 tickets is $165
(b) The number of tickets that costs $130
This means that C(x) = 130
So, we have:
[tex]\mathbf{C(x) = 17.5x - 10}[/tex]
[tex]\mathbf{130 = 17.5x - 10}[/tex]
Add 10 to both sides
[tex]\mathbf{140 = 17.5x}[/tex]
Divide both sides by 17.5
[tex]\mathbf{8 = x}[/tex]
Rewrite as:
[tex]\mathbf{x = 8}[/tex]
Hence, you can buy 8 tickets with $130
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compare:
(a÷b)^2.........a^2/b^2
Tom ate 1/6 in the morning and 3/6 in the afternoon. How much of the bread did he eat?
Answer:
4/6 or 2/3
Step-by-step explanation:
Amount of bread Tom ate= Tom ate in morning + Tom ate in evening
= 1/6 + 3/6
= 3+1/6
= 4/6
= 2/3
A kite has a perimeter of 70. One of the shorter sides measures 16 centimeters. What are the lengths of the other three sides?
Write a decimal that represents the value of $1 bill and 5 quarters.
pls help me on this math question.I am really confused
Answer:
640 m
Step-by-step explanation:
We can consider 4 seconds to be 1 time unit. Then 8 more seconds is 2 more time units, for a total of 3 time units.
The distance is proportional to the square of the number of time units. After 1 time unit, the distance is 1² × 80 m. Then after 3 time units, the distance will be 3² × 80 m = 720 m.
In the additional 2 time units (8 seconds), the ball dropped an additional
... (720 -80) m = 640 m
_____
Alternate solution
You can write the equation for the proportionality and find the constant that goes into it. If we use seconds (not 4-second intervals) as the time unit, then we can say ...
... d = kt²
Filling in the information related to the first 4 seconds, we have ...
... 80 = k(4)²
... 80/16 = k = 5
Then the distance equation becomes ...
... d = 5t²
After 12 seconds (the first 4 plus the next 8), the distance will be ...
... d = 5×12² = 5×144 = 720 . . . meters
That is, the ball dropped an additional 720 -80 = 640 meters in the 12 -4 = 8 seconds after the first data point.
What is another way that you could show the sum of 2/10 and 10/100
can someone help me with this pls
Adam used the three fractions 3/12, 1/6, and 1/3 to make a circle graph and colored each a different color. What fraction of the graph is not colored? Explain your answer.
In an isometric transformation, the preimage and image must not __________. A. change size B. rotate C. preserve angle measures D. reflect across the 2004-01-04-01-00_files/i0150000.jpg-axis
In an isometric transformation, the preimage and image must not change size. Therefore, the correct option is A.
In an isometric transformation, the preimage and image must not change size. This is because isometric transformations are shape-preserving transformations, meaning they maintain the distances and angles between points in figures. Examples of isometric transformations include rotations, reflections, and translations. During these transformations, the figures remain congruent with one another.Therefore, the correct answer is : A. change size .