Explain how you would calculate the cost per second for the Coral Reef Fountain which costs $49.99 and has a burn time of 1 minute 35 seconds. The correct answer rounded to the nearest penny is $0.53. Show your work.
what are potential roots of p(x) = x4 + 22x2 – 16x – 12
Answer:
±1, ±2, ±3, ±4, ±6 and ±12
Step-by-step explanation:
The potential roots are obtained as following:
potential roots = factors of the constant term / factors of leading coefficient
The constant term is -12, its factors are ±1, ±2, ±3, ±4, ±6 and ±12
The leading coefficient is 1, its factors are ±1
Therefore the potential roots are ±1, ±2, ±3, ±4, ±6 and ±12
simplify i^31 (click photo for options)
Joy drove 120 miles the first day of her trip. She drove 60 mph on the following days. What is the beginning amount (b) in the linear model
A) 30 miles
B) 60 miles
C) 90 miles
Or
D) 120 miles
Answer:
120
Step-by-step explanation:
Write an equation of the line with the given slope, m, and y-intercept left parenthesis 0 comma b right parenthesis(0,b).
1/3 + 1/6 in simplest form
Which statement best explains how Lizabeth develops the theme in "Marigolds" that beauty can be appreciated even in the worst circumstances?
Answer:
Lizabeth remembers the poverty of her childhood hometown but also the marigolds in Miss Lottie's yard.
Explanation:
The short story "Marigolds" by Eugenia Collier is a story of a little girl's childhood experience. In the story, Lizabeth talks of how her community is impoverished, "—the brown, crumbly dust of late summer—arid, sterile dust that gets into the eyes and makes them water, gets into the throat and between the toes of bare brown feet". But despite the background image of poverty all around her, she could also remember "a brilliant splash of sunny yellow against the dust—Miss Lottie’s marigolds". Through her remembering of the marigolds amidst the poverty of her childhood hometown, Lizabeth develops the theme of beauty appreciated even in the worse circumstances.
1. A company designs a box to package their product. The material used costs $0.112 per square foot. The box consists of a square bottom and isosceles triangles making up the sides. A net of the box is shown below.
James age in years is five more than two timed kevin's age. If James is 19 years old , how many years old is kevin?
Final answer:
Kevin is 7 years old. The problem is solved by setting up an equation 19 = 2K + 5, subtracting 5 from both sides to get 14 = 2K, and then dividing by 2 to find Kevin's age.
Explanation:
The question asks us to find Kevin's age given that James's age is five more than two times Kevin's age and that James is 19 years old. To solve this, we'll set up an equation based on the information provided.
Let K represent Kevin's age. According to the problem, we have:
James's age = 2 × Kevin's age + 5
Since James's age is 19, we can write:
19 = 2K + 5
To solve for K, we first subtract 5 from both sides of the equation:
14 = 2K
Then, we divide both sides by 2 to isolate K:
K = 7
Therefore, Kevin is 7 years old.
Georgia, a florist, charges 10.95 per flower bundle plus a 15 delivery charge per order. If Charlie orders 8 bundles of flowers and has them delivered,how much does Georgia charge Charlie
A rate that describes how much smaller or larger the scale drawing is than then real object
The scale factor is a ratio that describes the relationship between the dimensions of a scale drawing and the real object that it represents. A larger scale factor indicates a greater level of detail in the drawing, while a smaller scale factor depicts less detail and a larger area.
Explanation:The rate that describes how much smaller or larger the scale drawing is than the real object is known as the scale factor. A scale factor is a ratio that compares the dimensions of the actual object to the dimensions of a scale drawing or model. For example, a scale factor may be written as 1/200, meaning that the real object is 200 times larger than the scale drawing.
Scale can also be described using terms such as 'small' or 'large' scale. These terms relate to the level of detail a map shows; a large-scale map, with a representative fraction of 1:1,000, shows more detail and less area whereas a small-scale map, with a representative fraction of 1:1,000,000, shows less detail and more area.
Understanding these concepts is essential when interpreting maps and drawings as they communicate the level of zoom and detail. Remember, scale refers to a ratio and not the physical size of the map or drawing itself.
Given triangle ABC ~ triangle XYZ, what is the value of cos(Z)
Answer:
cos(Z) = 12/13
Step-by-step explanation:
Given that the triangles ABC and XYZ are similar (their corresponding angles are congruent and the corresponding sides are in proportion), then cos(Z) is equal to cos(C).
From the picture attached:
cos(C) = adjacent/hypotenuse
cos(C) = 12/13
Final answer:
Without additional information about triangle XYZ or its similarity ratio to triangle ABC, it is impossible to provide the exact value of cos(Z).
Explanation:
The question involves finding the value of cos(Z) in a triangle similar to triangle ABC. When triangles are similar, their corresponding angles are equal. However, without additional information such as side lengths or other angle values, it's not possible to calculate the exact value of cos(Z). But in general for any triangle, the value of cosine for any angle can be found using the cosine formula or by using the ratio of the adjacent side to the hypotenuse in a right triangle. For non-right triangles, one could utilize the Law of Cosines to determine the cosine of the included angle.
The measure of angle 1 equals 59 degrees, and the measure of angle 6 equals 72 degrees. What is the measure of angle 8?
I need help with 8 and 9 please!!!!!
At the candy store, Sophie filled a bag with 2 2/3 kilograms of candy. 1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie’s bag weigh?
a square has an area of 25cm2 what is the length of each side?
The length of each side of the given square would be 5 cm if square has an area of 25cm².
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
What is a square?A square is defined as a polygon that has four sides and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.
The area of a square is equal to the squared of sides or the multiplication of two sides.
We have been given a square has an area of 25 cm²
The length of one side = √( the area of a square)
The length of one side = √(25)
The length of one side = 5 cm
Therefore, the length of each side of the given square would be 5 cm.
Learn more about the area of the square here:
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What are the solutions to the equation? 5x^3 =405x
Luisa draws a regular nonagon and rotates it about its center. which angle measures can luisa rotate the regular nonagon through to map it onto itself? select each correct answer. 40° 80° 90° 120° 160° 180°
Answer: [tex]40^{\circ}[/tex]
Step-by-step explanation:
Given: A regular nonagon with 9 sides.
For a regular nonagon, it maps onto itself 9 times during a rotation of 360°.
Mow, the angle at Lusia can rotate the regular nonagon through to map it onto itself=[tex]\frac{360}{\text{number of sides of regular polygon}}=\frac{360}{9}=40^{\circ}[/tex]
A shape is said to has rotational symmetry if it maps onto itself under rotation about a point at its center. The order of rotational symmetry is the number of times the shape maps onto itself during a rotation of 360°.A shape that maps onto itself after rotation, has a rotation symmetry
The angles of rotation that would map the nonagon onto itself are:
[tex]\mathbf{40, 80, 120\ and\ 160}[/tex]
A regular nonagon has nine equal sides i.e.
[tex]\mathbf{n = 9}[/tex]
The angle at the center of the nonagon is:
[tex]\mathbf{\theta = 360}[/tex]
So, the angle of rotation symmetry is:
[tex]\mathbf{\alpha = \frac{\theta}{n}}[/tex]
This gives:
[tex]\mathbf{\alpha = \frac{360}{9}}[/tex]
[tex]\mathbf{\alpha = 40}[/tex]
This means that, the nonagon would map onto itself, when rotated at 40 degrees.
Other angles of rotation symmetry must be a multiple of 40
i.e.
[tex]\mathbf{\alpha = 40, 80, 120, 160, 200, 240, 280......}[/tex]
Using the above list of angles, the angles of rotation that would map the nonagon onto itself are:
[tex]\mathbf{40, 80, 120\ and\ 160}[/tex]
Read more about rotational symmetry at:
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How do you find the x and y intercepts of x^2+x-2/x^2-3x-4?
Use properties of addition and subtraction to evaluate the expression. −38−11−22 Enter your answer in the box.
The proceeds from a saturday car wash are directly proportional to the number of cars washed. the total after 7 cars is $140. how much is raised if 60 cars are washed?
What is (-1+8i)(-8+8i)
What are three collinear points on line l?
points A, B, and F
points A, F, and G
points B, C, and D
points B, F, and G
Points A, F, and G are three collinear points on line l.
[tex]\boxed{ \ The \ Answer \ is \ B \ }[/tex]
Further explanationLet us consider the definition of collinear.
Collinear
Collinear points represent points that lie on a straight line. Any two points are always collinear because we can constantly connect them with a straight line. A collinear relationship can occur from three points or more, but they don’t have to be.
Noncollinear
Noncollinear points represent the points that do not lie in a similar straight line.
Given that lines k, l, and m with points A, B, C, D, F, and G. The logical conclusions that can be taken correctly based on the attached picture are as follows:
At line k, points A and B are collinear. At line l, points A, F, and G are collinear. At line m, points B and F are collinear. Point A is placed at line k and line l.Point B is placed at line k and line m.Point F is located at line l and line m.Points C and D are not located on any line.Hence, the specific answer to this key question is undoubted, i.e., points A, F, and G.
Note:
All points can, also, be said to be coplanar. This is because the three lines intersect with each other and lie on a planar surface.
Coplanar
Coplanar points represent a group of points that lie on the same plane, i.e. a planar surface that extends without end in all directions. Any two or three points are always coplanar, but four or more points might or might not be coplanar.
Learn more Determine which points are coplanar and noncollinear https://brainly.com/question/4165000Finding a set of points is not coplanar in a pyramid https://brainly.com/question/2269323 Determining the best description of connection lines AB and CD on given rectangular prism ABCD https://brainly.com/question/4910705Keywords: what are, three collinear points A, F, and G, noncollinear, located, similar straight line, definition, represents, relationship, coplanar
Answer: B
Step-by-step explanation:
Plz help!! Which of the following is not equivalent to the ratio 12/4 A. 6/2 B. 36/12 C. 24/16 D. 240/80
Please help me with this problem!
y =
37
39
51
y = arctan(8/10)
y = 38.65
y = 39
Answer:
Option (b) is correct.
The measure of angle y is 39°
Step-by-step explanation:
Given : A right angled triangle with some measurements.
We have to find the value of y.
Consider the given triangle,
Using trigonometric ratios,
We know tangent is the ratio of perpendicular to its base.
Mathematically written as
[tex]\tan\theta=\frac{Perpendicular}{base}[/tex]
So, for given triangle, [tex]\theta=y[/tex]
and for y, perpendicular is 8 and base is 10
Substitue, we have,
[tex]\tan y=\frac{8}{10}[/tex]
Simplify, we have,
[tex]\tan y=\frac{4}{5}[/tex]
Taking inverse of tan both side, we have,
[tex]\tan^{-1}(\tan y)=\tan^{-1}(\frac{4}{5})[/tex]
[tex]y=\tan^{-1}(\frac{8}{10})[/tex]
Simplify , we have,
[tex]y=38.65^{\circ}[/tex]
Thus, the measure of angle y is 39°
Multiply or divide as indicated. Simplify your answer, if possible. (Do not express answer in exponential form.) 10/ 10^-2
Answer:
The simplified form of the provided expression is 1000.
Step-by-step explanation:
Consider the provided expression.
[tex]\frac{10}{10^{-2}}[/tex]
Now, use the property of exponent: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
Use the above property to solve the provided expression.
[tex]\frac{10}{10^{-2}}[/tex]
[tex]10^{1-(-2)}[/tex]
[tex]10^{1+2}[/tex]
[tex]10^3[/tex]
[tex]1000[/tex]
Thus, the simplified form of the provided expression is 1000.
Please check!
Mary has been hired as a receptionist. She is paid a flat rate of $150 each week and earns an additional $12.50 for every hour that she works. If her goal is to make $575 in one week, which equation will help Mary determine the number of hours she must work?
Which expression forms an equation with the given expression?
24 - 5 * 2 = ______
A. (5 + 3) * 2
B. 2(6 + 1)
C. 5 * 8 - 2
D. 4 * 9 + 2
Which statement is the correct interpretation of the inequality –2 > –8?
On a number line, −2 is located to the right of –8.
On a number line, −2 is located to the left of –8.
On a number line, −2 is located to the left of 0 and –8 is located to the right of 0.
On a number line, −2 is located to the right of 0 and –8 is located to the left of 0.
the correct interpretation of the inequality –2 > –8 is On a number line, −2 is located to the right of –8.
The expression 2x+13/2x+6-3x-6/2x+6 is equivalent to