The Main answer is Option D. sun is the independent variable.
The height of a certain type of tree depends on the amount of sun it receives per year, described by the function Height(sun). sun is the independent variable can be said about this function.
In the given function Height(sun)
Height(sun), "sun" is the input variable, representing the amount of sun the tree receives per year. The height of the tree depends on the amount of sun it receives. Therefore, "sun" is the independent variable, as it is the input or the cause affecting the output, which is the height of the tree.
A. Height is the dependent variable.
B. Height depends on sun.
C. sun is the output variable.
These statements are incorrect because they incorrectly characterize the relationship between the variables. In this context, the height of the tree (Height) is dependent on the amount of sun (sun) it receives, making Height the dependent variable and sun the independent variable. So, options A, B, and C are incorrect.
COMPLETE QUESTION:
The height of a certain type of tree depends on the amount of sun it receives per year, described by the function Height(sun). What can be said about this function? Check all that apply.
A. Height is the dependent variable.
B. Height depends on sun.
C. sun is the output variable.
D. sun is the independent variable.
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 2−x+1 intersect are the solutions of the equation 4−x = 2−x+1. (4 points) Part B: Make tables to find the solution to 4−x = 2−x+1. Take the integer values of x between −2 and 2. (4 points) Part C: How can you solve the equation 4−x = 2−x+1 graphically? (2 points)
how are three or more angles related
How would you use a model to determine the approximate formula for the circumference of a circle with a diameter of 8 cm, and connect the model to the actual formula?
Answer with explanation:
Take a thread of length x cm.Convert it into circle of radius r cm.
If you divide the Length of circle by value equal to 2 π, you will obtain radius of the circle.The value 2π is a constant Quantity is an Irrational number.
[tex]\rightarrow \frac{\text{Length of thread}}{2 \pi}=r\\\\ \rightarrow \frac{x}{2 \pi}=r\\\\ \rightarrow x=2 \pi r[/tex]
Diameter of Circle =8 cm
Circumference of a circle with a diameter of 8 cm has radius equal to 4 cm because radius is half of diameter
=2 × 3.14 × 4 cm
= 25.12 cm
⇒So, Actual Length of thread =25.12 cm
Irrational Quantity=2 π=2×3.14=6.28 cm
So Radius
[tex]=\frac{25.12}{6.28}\\\\=4 cm[/tex]
Diameter =Radius × 2
=4 cm × 2
= 8 cm
2/3 7/8 What is closer to 3/4
Find an equivalent fraction for the decimal number. Be sure that your answer is in lowest terms. Enter the numerator into the first box and the denominator of the fraction into the box below. a0 0.6 = ________ a1
Answer:
The lowest fraction equivalent to 0.6 is [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Given : The decimal number is 0.6
To find : An equivalent fraction for the decimal number in the lowest terms.
Solution : The decimal number 0.6 is written in fraction by removing decimal.
Step 1 - Write the decimal number
[tex]0.6[/tex]
Step 2- Remove the decimal
[tex]0.6 = \frac{6}{10}[/tex]
Step 3 - Reduced the fraction by dividing Nr. and Dr. by 2
[tex]0.6 = \frac{6}{10}=\frac{3}{5}[/tex]
Therefore, The lowest fraction equivalent to 0.6 is [tex]\frac{3}{5}[/tex]
Numerator is [tex]a_0=3[/tex] and Denominator is [tex]a_1=5[/tex]
HURRYYYYYY!!!!!!!!!!!!!!!!!
SOMEONE HELP ME ON THIS
~ BRAINLIEST AVAILABLE
NEED HELP ASAP!
SHOW WORK FOR 1. b, c, d and e!!!
RANDOM ANSWERS WILL BE MODERATED!
The football coach bought enough sports mix to make 60 L of a sports drink.
How many cups of the sports drink can the coach make?
(1 L ≈ 2.11 pt)
Question 3 options:
56.9 cups
63.3 cups
253.2 cups
267.1 cups,
The quadrilateral WXYZ has vertices W(3,-5) X(1,-3) Y(-1,-5) and Z(1,-7)
Perform r(90 degrees, 0) (WXYZ) and state the coordinates of the vertices
After performing a 90 degree rotation about the origin on the points, the new coordinates for W, X, Y, and Z respectively are (5,3), (3,1), (5,-1), and (7,1).
Explanation:In this problem, the task is to rotate a quadrilateral 90 degrees about the origin (0,0). The rule for rotation of points in the plane about the origin by 90 degrees is (x, y) -> (-y, x).
The new coordinates are,
For W(3,-5), it will become W'(-(-5),3) which equals W'(5,3) after rotating 90 degrees. For X(1,-3), it will become X'(-(-3),1) which equals X'(3,1) after rotating 90 degrees. For Y(-1,-5), it will become Y'(-(-5),-1) which equals Y'(5,-1) after rotating 90 degrees. For Z(1,-7), it will become Z'(-(-7),1) which equals Z'(7,1) after rotating 90 degrees. Learn more about Rotation of Coordinates here:
https://brainly.com/question/31180198
#SPJ12
PLEASE HELP ASAP!!!
Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.
Answer:
1. None of these.
2. None of these (Supplementary angles ).
3. Corresponding angles.
4. Alternate exterior angles.
5. Corresponding angles.
Step-by-step explanation:
In figure 1, the two lines are not parallel to each other, therefore we can not establish any relation between both angles. The required option is none of these.
In figure 2, both angles 1 and 2 lie on a straight line, therefore both angles are supplementary angles and the required option is none of these.
In figure 3, both angles have same relative position, therefore both angles are corresponding angles.
In figure 4, both angles are on the exterior of and , but on opposite sides of the transversal line, therefore both angles are alternate exterior angle.
In figure 5, both angles have same relative position, therefore both angles are corresponding angles.
Will give brainliest-This graph compares shoe sizes for a group of 80 two-year-old boys and a group of 60 three-year-old boys. About how many more two-year-old boys have a shoe size of 6 or less, compared to the three-year-old boys?
what is this difference of the polynomials? (x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)
Answer:2x^3+2x
Step-by-step explanation:
Can you check my work please?
Celia is staring at the clock waiting for school to end so that she can go to track practice. She notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.
Part 1: How many radians does the minute hand move from 1:25 to 1:50? (Hint: Find the number of degrees per minute first.)
My Answer: Part one:
(360degrees/60minutes = 6 degrees per minute.)
1:25 to 1:50 is 25 minutes. 25 x 6 = 150.
150pi/180 = 5pi/6,
A right triangle has legs that are 16 inches and 20 inches long. What is the length of the hypotenuse? Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.
Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $139.99 and is on sale for 15% off. Sales tax is 7%. Victoria says that she has enough money to buy the skateboard. Is she correct? Explain.
What is the length of the longest side of the triangle if the left side is 2x+12 and the bottom number is 6x-2 and the right side is 5x-9
To find the length of the longest side of the triangle, use the Pythagorean theorem to solve for x and determine the side lengths of the triangle.
Explanation:To find the length of the longest side of the triangle, we need to determine which side is the hypotenuse. In a right triangle, the hypotenuse is the side opposite the right angle. Using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides, we can find the length of the hypotenuse.
Let's denote the three sides of the triangle as A, B, and C. The left side is 2x + 12, the bottom side is 6x - 2, and the right side is 5x - 9. Since we can't determine which side is which based on the given information, we can use the variables.
By applying the Pythagorean theorem, we can set up the equation (2x + 12)^2 + (6x - 2)^2 = (5x - 9)^2. Expanding and simplifying this equation will allow us to solve for x and find the lengths of the sides of the triangle. Once we have the side lengths, we can determine which side is the longest.
Learn more about Pythagorean theorem here:https://brainly.com/question/28361847
#SPJ3
An angle measures 34° less than the measure of a supplementary angle. what is the measure of each angle?
Given that an angle is 34 degrees less than its supplementary angle and knowing that supplementary angles add up to 180 degrees, the two angles measure 73 degrees and 107 degrees respectively.
Explanation:To solve this problem, let's assume that the measure of the supplementary angle is x degrees. Since the angle in question is 34° less than the measure of the supplementary angle, we can set up the equation: x - 34 = the angle in question. Now, since supplementary angles add up to 180°, we can set up another equation: x + (x - 34) = 180. Solving this equation, we find that x = 107°. Therefore, the measure of the supplementary angle is 107° and the angle in question is 107° - 34° = 73°.
An angle measures 34° less than the measure of a supplementary angle. By definition, supplementary angles add up to 180°. Let's call the first angle x. Then the supplementary angle would be x + 34° because it's 34 degrees more than x. Since they are supplementary, the sum of these two angles should be 180 degrees:
x + (x + 34°) = 180°
2x + 34° = 180°
2x = 180° - 34°
2x = 146°
x = 146° / 2
x = 73°
Therefore, the measure of the first angle is 73°, and the measure of its supplementary angle is 107° (73° + 34°).
Given: 60,807; 60,087; 60,708 and 60,078, the correct arrangement of these numbers from the least to the greatest value is ?
where would square root 67 be located on a number line
NEED HELP WITH MY MATH
Please show work! Thank you
Can anyone help me on this problem, I have been stuck on it for a while now.
Use a calculator to evaluate cot 3.14/5
Solve the inequality. Write the solution in interval notation. Choose the correct solution. 6x > – 24
A. [ –24, ∞ ) B. [ – 4, ∞ ) C. ( –∞, 24 ] D. ( – 4, ∞ ]
Divide the given inequality 6x > -24 by 6 to isolate x, resulting in x > -4, which in interval notation is (-4, ∞). The correct choice is D. ( -4, ∞) ].
To solve the inequality 6x > -24, we will divide both sides of the inequality by 6 to isolate x, keeping in mind that since 6 is positive, the direction of the inequality will remain the same.
Step-by-step solution:
Start with the inequality 6x > -24.
Divide both sides by 6, which gives us x > -4.
In interval notation, this translates to (-4, ∞).
The correct choice is D. ( -4, ∞) ]
please help I will mark brainlist if correct
how do you factorise 15x+10
a bike sells for $140. The tax sale is 6%. How much will the bike cost?
Already have the answer just can't remember how to work it out please help.
At a recent holiday party, 4/5 of the attendees were company employees and the rest were their guests. if 2/3 of the employees who attended were engineers, what was the number of non-engineer employees who attended? there were 225 total attendees at the party. there were 45 attendees who were guests of the employees.
What is the perimeter of rectangle EFGH?
+ units
+ units
22 units
39 units
Answer:
B. 2√10 + 2√29 units
**** IS MY ANSWER CORRECT? ***Suppose you push your physics book against a wall hard enough to keep it from moving. Does the friction force on the book point (a) into the wall, (b) out of the wall, (c) up, (d) down, or (e) is there no friction force? Explain.