Answer:
7/8 = 87.5%
Step-by-step explanation:
You have only one of eight (1/8) evenly divided sections that is orange. The rest is not orange (1 - 1/8 = 7/8).
Therefore, spinning once will yield 7/8 odds of not landing on orange, or 0.875 or 87.5%.
The probability of not getting orange is 87.5%. The correct option is C.
What is probability?Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favourable outcomes to all outcomes.
Probability = Number of favourable outcomes / Number of samples
Given that a spinner with repeated colours numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
You only have one of eight (1/8) evenly divided orange sections.
The rest is not orange,
P = (1 - 1/8
P = 7/8
P = 87.5%
Therefore, spinning once will yield 7/8 odds of not landing on orange or 0.875 or 87.5%.
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Rewrite the following equation in slope-intercept form. 17x + y = –19
Answer: y = 17x - 19
Step-by-step explanation:
17x + y = -19
Subtract 17 on both sides
Y= -19 - 17x
Then put it in y= mx + b
Y= -17x - 19
Answer:
y = -17x -19
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
17x+y = -19
Solve for y
y = -17x -19
Practice: Determining if a Relation is a Function the Siven is not a funcr...l
since the element in the domain is repeated!
1) {(-1, 8), (0, 15), (1,-4), (2, 0)}2) {(-5,2), (5, 2), (0, -3), (3, -8)} 3) {(-2,7), (6,2), (-2,-3), (0, 9)}
it is a function
because there is not any
Points which have the
X-Coordinate and differe
y-Coordinates.
4) {(7.2), (4,-6), (2,-2). (4,-9)} 5) {(2, 3), (2, 4), (2, 5), (2.6)}
6) {(1,-4), (2,-4), (3, 4), (4-4)}
On solving the provided question, we can say that - here in the function, every element has an unique image
what is function?The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.
every element has an unique image and,
this relation, is not a function, since it is not one-one and onto.
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Length of insect is 23mm and length of drawing is 85mm. So what is Magnification
Answer:
The magnification is the ratio of the size of the image to the size of the object. In this case, the length of the insect is the size of the object, and the length of the drawing is the size of the image.
To find the magnification, we can divide the size of the image by the size of the object:
Magnification = size of image / size of object
Plugging in the values, we have:
Magnification = 85mm / 23mm
Calculating, we find that the magnification is approximately 3.7. This means that the length of the drawing is 3.7 times the length of the insect.
Step-by-step explanation:
[NEED HELP ASAP] How do I find the surface area of the shape in the picture?
When calculating the surface area of a 3D shape, it is important to remember to include the area of all the components that make up the shape.
How do I find the surface area of the shape in the picture?The surface area of the shape in the picture is approximately 300.4 cm².To calculate this, use the formula for the surface area of a triangular prism, which is SA = 2(bhl) + 2(bh + la).In this case, b = a = 4 cm, h = 12 cm, and l = s = 4.6 cm, so the calculation is SA = 2(4 x 12 x 4.6) + 2(4 x 4.6 + 4 x 12) = 300.4 cm².To calculate the surface area of the shape in the picture, you need to first calculate the area of the rectangle, triangle and circle.The rectangular portion has a height of 12 cm and a length of 4 cm, so the area is 48 cm^2.The triangle has a height of 12 cm and a base of 4 cm, so the area is 24 cm^2. The circle has a radius of 4.6 cm, so the area is 66.48 cm^2. Therefore, the total surface area of the shape is 138.48 cm^2. To calculate the surface area, you need to add the area of each of the components.For example, the area of the rectangle is 48 cm^2, the area of the triangle is 24 cm^2, and the area of the circle is 66.48 cm^2.The total surface area of the shape is then the sum of all these components, which is 138.48 cm^2.In this example, the rectangular portion, triangle and circle each had to be calculated separately in order to find the overall surface area.To learn more about the surface area of a of the prism refer to:
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Determine whether the relation is a function.
Choose the expression that is equivalent to fraction with 7 raised to the negative tenth power in the numerator and 7 raised to the fourth power times seven raised to the zero power in the denominator.
negative 1 divided by 7 raised to the fourteenth power
−714
1 divided by 7 raised to the fourteenth power
714
The equation that corresponds to fraction [tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex] is [tex]\frac{1}{7^{14} }[/tex] . A phrase by itself could contain an action .
what is expression ?It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression: (Math Operator, Number/Variable, Math Operator). A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence.
given
[tex]\frac{7^{-10} }{(7^{4} )(7^{0} )} \\= \frac{1}{7^{4} } *\frac{1}{7^{10} } * 1\\= \frac{1}{7^{14} }[/tex]
The equation that corresponds to fraction [tex]\frac{7^{-10} }{(7^{4} )(7^{0} )}[/tex] is [tex]\frac{1}{7^{14} }[/tex] .
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Clark is building a large gazebo for his backyard. It is in the shape of a regular hexagon. Each side of the
gazebo is 12 feet long. The apothem is 10.4 feet. He needs to purchase stones for the floor. It costs $9.50
per square foot for a special type of interlocking stone. Find the cost of the gazebo's floor.
Round to the nearest ten dollars.
Total cost of gazebo's floor is $3556.8 when the gazebo has 12 feet on each side. 10.4 feet tall is the apothem.
Given that,
In Clark's backyard, a sizable gazebo is being constructed. It has a typical hexagonal form. The gazebo has 12 feet on each side. 10.4 feet tall is the apothem. He must get stones for the flooring. The price of a particular kind of interlocking stone is $9.50 per square foot.
We have to identify the gazebo's floor's cost.
We know that,
The distance from the center of the regular polygon to the mid point of the side. Here, AB is the chord and AM =BM. O is the center of the circumcircle.
Segments joining the center of a circle to the midpoint of the chord is perpendicular to the chord.
So, OM ⊥AB
In ΔOAB,
AB is the base and OM is the height.
AB = 12 feet
OM = 10.4 feet.
The area of the triangle OAB =1/2×base×height
= 1/2×12×10.4
=62.4 square feet.
A regular hexagon is divided into 6 equilateral triangle having each side 12 feet.
Area of the regular hexagon = 6× area of the one triangle
=6×62.4=374.4 square feet
Cost of inter locking stones = $9.50 per square feet.
Total cost of gazebo's floor = 374.4× 9.50 =$3556.8
Therefore, Total cost of gazebo's floor is $3556.8 when the gazebo has 12 feet on each side. 10.4 feet tall is the apothem.
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Find the midpoint and distance between (-3,10) and (15,-2)
The midpoint and distance between (-3,10) and (15,-2) are ( 6,4 ) and 6√13 respectively.
What is the midpoint and distance between the given coordinates?The midpoint formula is expressed as;
[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]
The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point 1(-3,10)
x₁ = -3y₁ = 10Point 2( 15,-2 )
x₂ = 15y₂ = -2Plug the given values into the midpoint formula and simplify.
[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]
[ ( -3 + 15)/2, ( 10 + (-2) )/2 ]
[ ( 12)/2, ( 10 - 2 )/2 ]
[ ( 12)/2, ( 8 )/2 ]
( 12/2, 8/2 )
( 6,4 )
Therefore, the midpoint is (6,4).
Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √( ( 15 - (-3) )² + ( -2 - 10 )² )
D = √( ( 15 + 3 )² + ( -2 - 10 )² )
D = √( ( 18 )² + ( -12 )² )
D = √( 324 + 144 )
D = √( 468 )
D = 6√13
Therefore, the distance between the points is 6√13.
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Marathon Race. Carlos, Maura, and Jacob are running a marathon-26 miles. Carlos runs at a rate of 6 miles per hour. Carlos runs at a rate that is 25% slower than Maura's rate. Jacob takes 2 hours and 36 minutes to finish the marathon. Determine and clearly show everyone's speed. Show or explain your
calculations. Clearly show the exact time it takes for each person to finish the race.
First, let's find Maura's running speed by using the information that Carlos runs at a rate that is 25% slower than Maura's rate. If Carlos runs at a rate of 6 miles per hour, then Maura runs at a rate of 6 * 1.25 = 7.5 miles per hour.
How to calculate time?Next, let's calculate how long it takes for Carlos to finish the marathon. We know that Carlos runs at a rate of 6 miles per hour and the marathon is 26 miles long. So we can use the formula:
time = distance/rate
time = 26/6
time = 4.33 hours
Now let's find how long it takes for Maura to finish the marathon. We know that Maura runs at a rate of 7.5 miles per hour and the marathon is 26 miles long. So we can use the formula again:
time = 26/7.5
time = 3.47 hours
Finally, let's convert Jacob's time of 2 hours and 36 minutes to hours. We can use the formula:
time = 2 + (36/60)
time = 2 + 0.6
time = 2.6 hours
In conclusion, Carlos takes 4.33 hours, Maura takes 3.47 hours and Jacob takes 2.6 hours to finish the marathon.
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Write the quotient as a mixed number.
26÷3=8 R2
When we divide 26 by 3 we get 8 as a quotient and 2 as a remainder, the Mixed Fraction is [tex]8\frac{2}{3}[/tex]
What is a mixed Number ?A full number plus a legal fraction are combined to form a mixed number. Mixed numbers, commonly referred to as mixed fractions, make it easier for humans to comprehend numbers.
A full number and a legal fraction make up a mixed number. A mixed number like [tex]2\frac{x}{y}[/tex] is one where 1/4 is the correct fraction and 2 is the whole number portion. It should be emphasized that once mixed numbers are transformed into an incorrect fraction, they are simple to add, subtract, multiply, and divide.
Steps to convert Improper fraction to Mixed Fraction :
Divide the numerator by the denominator to obtain the remainder and quotient as the first step. 43 divided by 9 in this situation yields 4 as the quotient and 7 as the remainder.Step 2: This quotient (4) becomes the mixed number's whole number component. While the denominator stays the same, the remainder (7) becomes the numerator portion.Step 3: As a result, 43/9 becomes a mixed number and is written as , meaning that 43/9 = [tex]4\frac{7}{9}[/tex].So when we divide 26 by 3 we get 8 as a quotient and 2 as a remainder so the Mixed Fraction is : [tex]8\frac{2}{3}[/tex]
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Any help pls. Question is : Find the equation of line B, which is perpendicular toy-2x=-8(x-8)and passes through the point (6,-6). Find the midpoint of the line segment AB in the following figure
Answer:
Perpendicular line ⇒ 2x + 9y + 42 = 0
midpoint: (-1,1)
Step-by-step explanation:
Let's find the coordinates of midpoint of AB
Here, from figure, A = (-3,-2), B = (1,4)
So midpoint:
[tex]P = (\frac{-3+1}{2},\frac{-2+4}{2})[/tex]
∴ P = (-1, 1)
Now, given straight line is x - 2y = -8(x-8)
⇒x - 2y = -8x+64
⇒9x - 2y - 64 = 0
Perpendicular line to 9x - 2y - 64 = 0 is 2x + 9y + k = 0
Perpendicular line passes though (6,-6)
Putting the values, we get
2(6) + 9(-6) + k = 0
⇒12 - 54 + k = 0
⇒k = 42
∴ Perpendicular line ⇒ 2x + 9y + 42 = 0
The figure below is a scale drawing of a garden if the scale used is 1/4 inch = 3 feet then what is the peremiter of the actual garden
Answer:
if the scale used 1/4 inch = 3 feet, then what is the perimeter of the actual garden? AI Recommended Answer: The perimeter of the actual garden is 144 feet.
Step-by-step explanation:
Which table represents a function
Answer:
The table with (-3, 2), (0, 2), etc.
Every input has exactly one output.
Hope this helps :)
pls help due tomorrow
On solving the provided question, we can say that - by doing the equation, we have -12 +18 = p + 7 => 6 = p + 7 => p = -1
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
-12 +18 = p + 7
6 = p + 7
p = -1
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I need the answer for 9 and 10
x−2y=3
Determine the missing coordinate in the ordered pair (−4,?) so that it will satisfy the given equation.
Answer:
y=-3.5
Step-by-step explanation:
substitute -4 for x
add 4 on both sides to get rid of the -4
divide -2 on both sides to isolate y
and you get 3.5 for y
The value of y that will satisfy the equation given is -3.5.
What is an equation?Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
Given that, the missing coordinate in the ordered pair (−4, ?), we need to find the missing value that will satisfy the equation x-2y = 3,
To find the same, just replace the value of x by -4,
-4-2y = 3
-2y = 7
y = -3.5
Hence, the value of y that will satisfy the equation given is -3.5.
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whats the second step of calculating the present value of an ordinary annuity by table lookup
The second step of calculating the present value of an ordinary annuity by the table lookup is to look up the periods and rates in the PV annuity table.
What is the present value of an ordinary annuity?The present value of an ordinary annuity is the current value based on future cash inflows of the annuity, given a specified discount rate.
The present value is higher when the discount rate is lower, and vice versa.
The present value of an ordinary annuity, which discounts the annuity to the current time, is computed as Annuity Payment x Present value of the ordinary annuity table.
In conclusion, an annuity simply means a series of periodic payments and may involve payment at the beginning (annuity due) or at the end of the period (ordinary annuity).
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Draw the following figure in your note book and find the perimeter or circumference show your solution.
1.) Triangle : s = 6cm ; P=
2.) Square : s = 7 cm ; P =
3.) Rectangle = W = 4cm , L = 8 cm ; P =
4.) Regular Heptagon : s = 3cm ; P =
5.) Circle : r = 12cm ; C =
1)Triangle : s = 6cm ; P= 18 cm
2.) Square : s = 7 cm ; P = 28 cm
3.) Rectangle = W = 4cm , L = 8 cm ; P = 24cm
4.) Regular Heptagon : s = 3cm ; P = 21 cm
5.) Circle : r = 12cm ; C = 24∏ cm.
What is circumference?
The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.
Given that the length of each side of a triangle is 6 cm.
The perimeter of an equilateral triangle is 3a, where a is the length of the side of the equilateral triangle.
The perimeter of the triangle is 3 × 6 = 18 cm
The length of side of a square is 7 cm.
The perimeter of a square is 4a, where a is the length of the side of the square.
The perimeter of the square is 4 × 7 = 28 cm.
The length and breadth of a rectangle is W = 4 cm and L = 8 cm.
The perimeter of a rectangle is 2(L+ W)
The perimeter of the rectangle is = 2(8 + 4) = 2 × 12 =24 cm
The perimeter of Regular Heptagon is 7a, where a is the length of the side of the Regular Heptagon.
The perimeter of a Regular Heptagon is (7 × 3) = 21 cm
The perimeter of a circle with a radius r is 2∏r.
The perimeter of the circle is 2∏ × 12 = 24∏ cm.
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5x -2y = 1, 5x -6y = b
what is the value of b so that it has no solution
Answer:
DNE
Step-by-step explanation:
You want the value of 'b' so that the system of equations has no solution.
5x -2y = 15x -6y = bNo solutionIn order for the system of two linear equations to have no solution, the equations must describe parallel lines. That is, the lines must have the same slope.
SlopeThe slope of the line written in the form px -qy = c is the coefficient of x when the equation is rearranged to "y=" form. Here, that is p/q.
The slope of the first line is 5/2; the slope of the second line is 5/6. These values are different and do not depend on 'b'.
There is no value of 'b' that will make this system have no solution. It does not exist (DNE).
what values are solutions for inequality -3 < 2x -3
The values that are solutions to the inequality -3 < 2x -3 are all real numbers greater than 0.
What is the solution to the given inequality?Given the inequality in the question;
-3 < 2x -3
Solve for x, by making it the subject of the formula.
Subtract 2x from both sides
-3 < 2x -3
-3 - 2x < -3
Add 3 to both sides
-3 + 3 - 2x < -3 + 3
-2x < -3 + 3
-2x < -3 + 3
-2x < 0
Next, divide both sides by -2
-2x/-2 > 0/2
x > 0/2
x > 0
Therefore, the solution to the inequality is x > 0.
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PLEASE HELP ME ASAP NOW PLEASE
The lines with a slope larger than f(x) are:
option 4) y = (25/3)*x - 1/2
option 5) (4/5)*y - 16x = -1/2
Which one is the linear equation shown on the graph?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
First, you can see that the line crosses the y-axis at y = -4, so the line is something like:
y = a*x - 4
And we can see that it crosses the x-axis at x = 2, then we can write the equation:
0 = a*2 - 4
4 = a*2
4/2 = a
2 = a
So the linear equation on the graph is:
y = 2*x - 4
The slope is 2, the linear equations with a slope larger than that are:
option 4) y = (25/3)*x - 1/2
option 5) (4/5)*y - 16x = -1/2
Which can be rewritten as:
y = (5/4)*16x - (5/4)*(1/2)
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From the set {28, 56, 112}, use substitution to determine which value of x makes the equation true.
x ÷ 2 = 56
The number in the replacement set that will make the equation true is (c) 112
How to determine the solution to the expressione/equation?From the question, we have the following parameters that can be used in our computation:
x ÷ 2 = 56
Rewrite the expression properly
so, we have the following representation
x/2 = 56
Also, we have the replacement set to be
{28, 56, 112}
In the given equation, we have the variable to be
The variable is x
Multiply 2 to both sides of the expression
So, we have the following representation
2 * x/2 = 56 * 2
Evaluate the products on both sides of the equation
x = 112
Hence, the solution is x = 112
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1.
How many degrees does the hour hand of
a clock turn in 5 minutes?
(A)1/2
(B)3 1/2
(C) 5°
(D)2 1/2
Answer:
The answer is D (2 1/2)
Hope u helped
What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)?
Enter your answers in the boxes.
The line that passes through these two points is y=x-2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here function whose graph contains the points (9, 7) and (4, −8)
Thus using the two point formula for a line we get the equation as y-7=(x-9)
y=x-2
Hence, The line that passes through these two points is y=x-2
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alex, beverly and carl live on the same straight road. alex lives 12 miles from beverly and carl 4 mies from berve,y, how far does alex live from carl?
A 50 Gram Sample of a substance that used to treat thyroid disorders has a K-value of 0.1113. What is the half life? thanks
The half life of the iodine is obtained as 6.2 s.
What is the half life?
Let us recall that the half life would be the time that is taken for about half of the original radioactive isotope that remains in the sample, to become depleted in the thyroid treatment.
Given that we have the fact that the decay constant that we have in the process is given as 0.1113 in the question and we know that;
Half life = 0.693/K
Half life = 0.693/0.1113
Half life = 6.2 s
It would have the half life about 6.2 s.
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A right triangle with coordinates A (-2,5), B (-2, 9) and C (4,5) is first rotated 90 degrees counterclockwise and
then translated 2 units left and 3 units down to form triangle A'B'C'. What is the measure of angle B'A'C',
in degrees, in the resulting figure?
Answer:
90 degree
Step-by-step explanation:
since the original angle BAC is 90 degree, no matter the triangle is rotated or translated, the angle remain unchanged
Tyler’s brother earns 14 per hour. The store offers him a raise a 15% increase per hour. After the raise, how much will Tyler brother make per hour
Answer: 16.10
Step-by-step explanation:
$14 + 15% increase rate = 16.10
15% = 2.10
The equation of a ellipse is given below.
Graph the ellipse find the center, vertices, foci, and equation of major axis.
(y+5)^2/9 + (x+5)^2/25 = 1
Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).
Explain the equation.An equation is a mathematical representation of two identical variables, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra is the fundamental building block of mathematics.
Here,
[tex](x + 2)^{2}[/tex] / [tex]a^{2}[/tex] + [tex](y-5)^{2}[/tex] /[tex]b^{2}[/tex] -=1 is (h, k).
the ellipse's nucleus
The major axis is the larger of the two axes, which are 2a and 26.
(H, a, k) and (H, k, b) are the vertices. Vertices are those along the major axis in this case, and covertices are those along the minor axis.
[tex](x + 2)^{2}[/tex]/16 + [tex](y-5)^{2}[/tex] /20 =1
can be written as
[tex](x + 2)^{2}[/tex]/ [tex]4^{2}[/tex] + [tex](y-5)^{2}[/tex] /(2√/5)2
hence centre is (-2, 5), maor axis is 2 x 2√√5 = 4√√5 and minor axis
is 2 x 4 = 8
Vertices are ( 2,5 25), or ( 2,5 25) and ( 2,5 + 25), while covertices are ( 2 4, 5) and ( 6,5), respectively.
As a result of the presence of a vertical major axis, eccentricity e and focii are
(h, k ± be). e is given by the relation a2 = b2(1 − e2) i.e.
=> e = [tex]\sqrt{1 - \frac{a^{2} }{b^{2}} }[/tex]
a2= 16 and b2= 62
=> e = 1/√5
Focii (-2,5 ± (2√5 x 1/√5)
or (-2,5±2) i.e. (-2, 7) and (-2, 3).
Therefore , the solution of the given problem of equation comes out to be Focii (-2,5 ± (2√5 x 1/√5) and vertex ( − 2,5 ± 2√√5).
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what is the unit rate for meters per second if a car travels 424 meters in 8 seconds
The unit rate for meters per second if a car travels 424 meters in 8 seconds is 53 meters per second.
How to find the unit rate?The unit rate meters per second can be determine using this formula
Unit rate meters per second = Number of meters / Numbers of seconds
Where:
Number of meters = 424 meters
Numbers of seconds = 8 seconds
Let plug in the formula
Unit rate meters per second = 424 meters / 8 seconds
Unit rate meters per second = 53 meters per second
Therefore we can conclude that the Unit rate meters per second is 53 meters per seconds.
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