Answer: 58.5
Step-by-step explanation: 65.00 - 10% = 58.5
Answer: $58.50
Step-by-step explanation: Orignal Price: $65.00
10% discount = -$6.50
$65.00 - $6.50 = $58.50.
PLEASE HELP ASAP!! Thanks.
For the questions below provide a complete solution with explanation.
1. Eris Orbit. The recently discovered Eris orbits the Sun every 557 years. Use Kepler's 3rd law to find what is its average distance (semi-major axis) from the sun? How does its average distance compare to that of Pluto? (Compare them by either finding their ratio or by calculating the percent difference).
2. If a new dwarf planet is discovered at an orbit with an average distance to the sun of a = 100 AU, what will be its orbital period?
If Eris Orbit. The recently discovered Eris orbits the Sun every 557 years.
Its average distance (semimajor axis) from the sun is: 67.7 AUDifference between the two dwarf planets is 28.2 AUWhat is its average distance (semimajor axis) from the sun?In order to calculate the semimajor axis of Eris, we need to plug 557 years into the equation
a=P^2/3
a= 557^0.66666667
a = 67.6971 astronomical units.
a = 67.7 AU (Rounded)
Since the average distance for Pluto from the Sun is 39.3 AU
So,
Since the distance of Eris to the sun is 67.7 AU and Pluto to the sun is 39.5
Difference between the two dwarf planets = 67.7AU - 39.5 AU
Difference between the two dwarf planets = 28.2 AU
Based on the above calculation Eris is about 1.5 times farther from the Sun in comparison to Pluto.
Therefore Its average distance (semimajor axis) from the sun is: 67.7 AU and the difference between the two dwarf planets is 28.2 AU
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Dana is attaching a shelf to a wall and needs the shelf to be parallel to the floor. How many degrees should the shelf be relative to the floor?
Answer:
The shelf should be 0 degrees relative to the floor.
Step-by-step explanation:
When an object is parallel to the floor, it means that it is aligned with the floor at the same angle and does not slope up or down.
In other words, the angle between the shelf and the floor is 0 degrees.
So, to attach the shelf so that it is parallel to the floor, Dana should ensure that the angle between the shelf and the floor is 0 degrees.
Rewrite the following without an exponent. 4^-3
The required simplified value of the given exponential form of expression 4⁻³ is 1/64.
What is an exponential function?The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
Given expoenential expression,
= 4⁻³
= 1 / 4³ [a⁻¹ = 1 /a]
= 1 / 64 [4³ = 64]
Thus, the required simplified value of the given exponential form of expression 4⁻³ is 1/64.
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The graph of a quadratic function with vertex (1,-2) is shown in the figure below.
Find the range and the domain.
The graph of a quadratic function with vertex (1,-2) has the range and the domain respectively, ( -∞, -2 ) and ( -∞, ∞)
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
The graph of a function,
whose vertex is (1, -2)
As it can be seen in the graph,
The given quadratic function has defined value for each value of x,
So, the domain of the given function is real numbers,
x ∈ ( -∞, ∞)
The maximum value of the function is -2
And minimum value of the function is -∞
The range of the function is ( -∞, -2 )
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A zipline cable is attached to two platforms 1000 ft apart at an angle of depression from the taller platform of 12º. What is the length of the cable, rounded to the nearest foot?
The length of the cable is 4810 feet.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecent/hypotenuse and
tan = opposite/adjacent.
If the angle of depression from the taller platform of 12°, Then the angle of elevation is (90 - 12) = 78°.
We know, cos = adjacent/hypotenuse.
cos78° = 1000/hypotenuse.
hypotenuse = 1000/cos78°.
hypotenuse = 4810 feet.
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Answer:
1022
Step-by-step explanation:
cos 12 = 1000/x
how many unit cubes needed to be added to the figure so that it will have a total volume of 12 cubic units
The number of cubic units needed to add to the figure so that it will have a total volume of 12 cubic units, 4 units
What is Volume?In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.
Given that,
There are 2 units in each back side and front side,
So, there are 4 units on the back and front,
Now the number of units between them,
There are 4 units in between both the sides,
Add all the units,
4 + 4 = 8,
there are total 8 units in this figure
Now, the number of units should be added to these 8 units to get a result of 12 units altogether.
So, subtract the 8 units from the 12 units
12 - 8 = 4,
Hence, The units required are 4
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Adrianna cuts a pie with a 10-inch diameter into 8 equal slices and eats one slice. How many square inches of pie are left? Use 3.14 for pi. Round the final answer to the nearest tenth of a square inch. Select all the true statements.
a. The area of the whole pie is 314 in.².
b. The area of the whole pie is 78.5 in.².
c. The problem is asking for the area of a fractional piece of the pie.
d. The solution is 9.2 in.².
e. The solution is 68.7 in.².
On solving the provided question, we can say that Area of pizza is [tex]\pi*r^2[/tex]=25 pi in^2 Divide that by 8 3.125 [tex]\pi in^2[/tex] => 9.82 cm^2 => [tex]9.8 cm^2[/tex] is the answer
What is area?The size of an area on a surface can be expressed as an area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a planar region or planar region refers to the area of a form or planar layer. The total amount of space filled by a planar (2-D) surface or shape of an object is known as its area. Draw a square on a piece of paper using a pencil. a character with two dimensions. The area of a shape on paper is the space it takes up. Imagine that the square is composed of more compact unit squares.
Area of pizza is [tex]\pi*r^2[/tex]=25 pi in^2
Divide that by 8
3.125 [tex]\pi in^2[/tex] => 9.82 cm^2
[tex]9.8 cm^2[/tex] is the answer
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You have $28.50. You earn additional money by mowing lawns. Then you purchase a new pair of shoes for $45.09 and have $18.41 left. How much money do you earn mowing lawns?
Answer:I earn $26.68 by mowing lawns.
Step-by-step explanation:
1. What is the period of the function?
2. Which functions are periodic?
3. Which functions are not periodic?
4. Given the graph of the function f(x), which graph shows the function g(x) if g(x)=f(x−3)?
5. Given the graph of the function f(x), which graph shows the function g(x) if g(x)=f(x)+3 ?
Three large cones hang from the ceiling in an office building in front of a bank of windows. The height of each cone is 12 feet and the circumference of the base of each cone is 8π feet. The base and 50% of the lateral surface of each cone is painted red, and the rest of each cone is painted black.
What is the total surface area painted black? Use π≈3.14.
Enter your answer, rounded to the nearest tenth, in the box.
The total surface area painted black is 50.2 square feet.
How did we get the value?Let's call the radius of the base of the cone r. We can find it using the formula for the circumference of a circle:
C = 2πr
8π = 2πr
r = 4
Next, let's find the slant height of the cone, which is the distance from the tip of the cone to the base along a straight line that passes through the center of the base. We can use the Pythagorean theorem:
s^2 = r^2 + h^2
s^2 = 4^2 + 12^2
s^2 = 16 + 144
s^2 = 160
s = sqrt(160) = 12.8
Next, let's find the surface area of one cone. The surface area of a cone is equal to π times the radius of the base times the slant height, plus π times the radius of the base squared:
A = πr * s + πr^2
A = π * 4 * 12.8 + π * 4^2
A = 50.24 + 16π
A = 50.24 + 50.24
A = 100.48
Since the base and 50% of the lateral surface of each cone is painted red, that means 50% of the surface area is painted black:
black_area = 0.5 * 100.48
black_area = 50.24
Rounding to the nearest tenth, the total surface area painted black is 50.2 square feet.
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I have 33 car and I give 3 away
Answer: 30 cars left
Step-by-step explanation:
if from 33 cars we subtract 3, we get 30 cars left.
33 - 3 = 30 ...answer
hope that helps...
A plumber charges $75 for the first one-half hour of a service call and an additional $45 for every additional half hour. Write an expression that can be used to find the cost for h half hours and use your expression to find the charge for 3 1/2 hours.
Answer:
$270
Step-by-step explanation:
h = number of half hours worked
$75 + $45(h-1) = total cost
3 1/2 hrs = 7 half-hours
$75 + $45(7 - 1) = $270
Please help!!! This is about rational and irrationals
Answer:
a creo que debes sacr la raiz cuadrada de los dos aciendo los procesos
Gary has 6 more baseball cards than football cards. He has fewer than 125 baseball
cards, Write an inequality for the number of football cards, f, he has.
around 125-6
Step-by-step explanation:
Does a linear model accurately describe the temperature of the soup? Select the most appropriate statement.
The scatterplot of the residuals should display random scatter if a linear model is suitable, and the histogram should appear about normal.
How can you tell if a linear model is the right choice? The scatterplot of the residuals should display random scatter if a linear model is suitable, and the histogram should appear about normal.The linear model is not suitable if the residual plot displays a curved relationship.The residuals vs the explanatory variable are displayed in a different style of residual plot.The two variables are believed to have a linear relationship when using linear regression.If the regression line is linear (y=ax+b), the regression coefficient, or slope of the regression line, is the constant (a) that represents the rate of change of one variable (y) as a function of changes in the other (x).To learn more about linear model refer
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As per the natural tendency of cooling with temperature the rate of decrese in temperature is also decresing so the cooling of a soup cannot be described by a linear model.
What is graph of a function ?A relationship that has one output for each input value (x-value) is called a function (y-value). All functions are hence relations. However, not all relationships are functions since not every relationship will satisfy the condition that every distinct input generates just one output.
Check to see if there is a horizontal asymptote or an oblique asymptote by comparing the degrees of the numerator and denominator to the function's end behavior. Plot the asymptotes that are horizontal or oblique.
As per the natural tendency of cooling with temperature the rate of decrese in temperature is also decresing so the cooling of a soup cannot be described by a linear model.
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A boy walked 7km on a bearing of 060 degree.represent information on a diagram
A bοy walked 7km οn a bearing of 60°. Represented this infοrmation on a diagram given belοw.
What are bearing rules in maths?A bearing in mathematics is the angle, measured in degrees and anticloοkwise from nοrth. Typically, bearings are given as a three figure bearing. Fοr instance, 30° clockwise from nοrth is typically expressed as 0°.
"Pieces that aid objects' rοtation" are bearings. They suppοrt the rotating shaft that mοves the machinery. Cars, planes, power generatοrs, and οther devices all use bearings.
Tο lessen friction between twο spinning or sliding surfaces, a bearing is a mechanical compοnent.
There are many different types of bearings, including ball and rοller bearings, linear bearings, and mοunted versions that may use either, and they are used for rοtating or linear shaft applicatiοns. Bearings are mechanical assemblies that include rοlling elements and typically inner and οuter races.
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Why is it not accurate to state that one of the cross sections is a square?
it is not accurate to state that one of the cross sections is a square as it will be a rectangle.
What is a square?
Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.
The given figure is a rectangular cuboid
Another name for a three-dimensional orthotope is a right rectangular prism, often known as a rectangular cuboid or rectangular parallelepiped.
Here the side of the cuboid is a rectangle, so the cross-section of that will be a rectangle, not a square.
Hence it is not accurate to state that one of the cross sections is a square.
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Answer:
incorrect premise
Step-by-step explanation:
You want to know why it is inaccurate to say one of the cross sections of a rectangular prism is a square.
Cross sectionsCross sections parallel to any face will have the same shape as the face. Those may or may not be square, depending on the shape of the face.
Arbitrary cross sectionsHowever, if a cross section may be made at any angle, there is always a cross section of a rectangular prism that can be a square. The attached figure shows an example.
5-67x=4/4y Helpppp? Worth 100 and Brainliest heh
Answer:
x = [tex]-\frac{y - 5}{67}[/tex]
Step-by-step explanation:
Hope this helps
1. Write the equation of a circle in standard form whose center is at (3,-2) and has a radius of 11:
2. Find the average rate of change of a linear function y = f(x) = 2x - 1 if input x is changing
from x=1 to x=3:
help pls im confused
The required area of the shaded region is 11.5 sq. units
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given is a circle with center T and radius 3 units. there is a region in the circle which is shaded, we need to find that area.
So, the shaded part is composed of a right triangle and a minor sector of the circle.
To find the area of the shaded portion, we will add the area of right triangle and a minor sector
Now, area of a triangle = 1/2 × base × height
Here, base = height = radius = 3 units
And,
Area of a sector = θ/360° × π × radius²
Where, θ is the central angle.
θ = 90°
Area of the shaded region = 1/2 × 3 × 3 + 90°/360° × 3.14 × 3²
= 9/2 + 7.065
= 11.565
Hence, the required area of the shaded region is 11.5 sq. units
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In exercises 1 and 2 use the graph to solve the equation
The solution:
Exercise 1: x = -1 and 3.
Exercise 2: x = 2 and 4.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
The graphs of the two quadratic equation.
So, Exercise 1,
-x² + 2x + 3 = 0.
From the graph,
-1 and 3 are the zeros of the equation.
The solution of the equation is,
x = -1 and 3.
Exercise 2,
x² - 6x + 8 = 0.
From the graph,
2 and 4 are the zeros of the equation.
The solution of the equation is,
x = 2 and 4.
Therefore, the solutions of the both the equation are given above.
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Can someone help for homework please? 2x/7 = 6/3 whats x
Answer: x = 7
Step-by-step explanation:
[tex]\frac{2x}{7} =\frac{6}{3}[/tex]
we cross multiply, we get
2x(3) = 6(7)
6x = 42
x = 7
What percent of 2 is 32? If necessary, round your answer to the nearest tenth.
Answer:
Below
Step-by-step explanation:
32/2 x 100% = 1600 %
Determine the value of x.
Answer: Because there is no image or question I have to make a question myself. If Jimmy had X and Samantha has 17 which is 8 more than Tim and Tim has 20 less than Jimmy. What does Jimmy have?
Step-by-step explanation:
First, we isolate X.
X = Tim + 20.
Tim = 11.
11 + 20 = X
So X = 31
Use two formulas for volume to find the volume of the figure. Express the answer in terms of pi and then round to the nearest whole number.
The volume of the composite figure is 117π ft³ or 368 ft³
How to find the volume of a composite figure?The figure shown is made up of a hemisphere and a cylinder.
Total volume of the figure = volume of hemisphere + volume of cylinder
Formula for the Volume of the hemisphere is;
V = ⅔πr³
Radius (r) of hemisphere = 6/2 = 3 ft
Volume of hemisphere = ⅔ * π * 3³
= 18π ft³
Volume of Cylinder is given by the formula;
V = πr²h
radius (r) = 3 ft
height (h) = 11 ft
Volume of cylinder = π * 3² * 11
= 99π ft³
Volume of the figure = 18π ft³ + 99π ft³ = 117π ft³
Volume of the figure to the nearest whole number = 368 ft³
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I do not need an explanation, just a quick answer. Thanks!
The question is in the image.
Answer:d
Step-by-step explanation:
The table shows some ordered pairs that belong to quadratic function h. What is the
range of h?
The corresponding value of h is less than or equal to 5.
What is quadratic function?A quadratic function is a polynomial function of the form:
f(x) = ax^2 + bx + c,
where a, b, and c are constants and x is the independent variable. The graph of a quadratic function is a parabola, which is a symmetrical, U-shaped curve.
The set of all feasible dependent variable values based on the input or independent variable constitutes the range of a quadratic function. The direction of the parabola and the value of the y-intercept can be used to establish the range (the constant c).
In mathematics, science, and engineering, quadratic functions are used extensively. Examples include modeling motion, projectile motion, and parabolic reflectors as examples of physical phenomena. They are also utilized in optimization issues where the aim is to discover the highest or lowest value of a given function.
According to question:
The range of a quadratic function is the set of all possible values of the dependent variable, based on the input or independent variable.
From the table, it appears that the range of the function h is all real numbers less than or equal to 5. This is because, for all values of x given in the table, the corresponding value of h is less than or equal to 5. So, the correct answer is:
Of-27, -13, -3, 3, 5}
All real numbers less than or equal to 5
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What is One plus One, algebra is so hard guys.
Answer:
Somethings telling me this is a trick question but the answer is 2.
Step-by-step explanation:
What is the solution of the equation? Show all of your steps arriving at your final solution.
1/5(4x - 2.5) = 5(0.4x + 10) + 3 1/2
Answer: 7.34375
Step-by-step explanation:
Answer step bby step:
1. Isolate the variable:
1/5(4x - 2.5) = 5(0.4x + 10) + 3 1/2
5(0.4x + 10) + 3 1/2 = 1/5(4x - 2.5)
2. Multiply both sides by 5:
2(0.4x + 10) + 3 1/2 = 4x - 2.5
3. Subtract 2(0.4x + 10) from both sides:
3 1/2 = 4x - 2(0.4x + 10)
4. Subtract 3 1/2 from both sides:
0 = 4x - 2(0.4x + 10) - 3 1/2
5. Distribute the -2 to the parentheses:
0 = 4x - 0.8x - 20 - 3 1/2
6. Combine like terms:
0 = 3.2x - 23.5
7. Divide both sides by 3.2:
x = 7.34375
how likely is an event with a probability of 3/4 i ready
Answer:75%
Step-by-step explanation:3/4 is equal to 0.75