The round plate in the problem has a surface area of 63.754 square inches.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given, A circular plate has a circumference of 28.3 inches.
Since circumference of a circle = 2*3.14 * r
Where r is the radius
Thus,
circumference = 28.3
6.28 * r = 28.3
r = 4.506
Radius of circle = 4.506
Since the area of the circle = 3.14 * r * r
Thus,
Area of given circle = 3.14 * 4.506 * 4.506
Therefore, the Area of the given Circular plate is 63.754 square inches.
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A craft store recieved the following amounts of colored beads in today's shipment. The beads are sold in bags that weigh 1/10 of a pound. How many full bags of pink beads can be made from today's shipment?
The number of bags of pink beads that can be made from today's shipment is given as follows:
5 bags.
How to obtain the number of bags?The number of bags is obtained applying the proportions in the context of this problem.
We have that each bag weights 1/10 of a pound.
The shipment was of 4/7 pounds of pink beads, hence the total number of bags of pink beads that can be made from today's shipment is calculated as follows:
4/7/(1/10) = 4 x 10/7 = 40/7 = 5.
(rounded down, as the number of bags is a countable amount).
Missing InformationThe problem is given by the image presented at the end of the answer.
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solve:16^x+64=5*4^x-1
Y = [tex]4^{x}[/tex] + 64 = 5y - 1, x = (5y - 65)/16, and x = (20*[tex]4^{x}[/tex] - 260). Take the logarithm of both sides, apply the laws of logarithms, and solve for x.
What is logarithm?A logarithm is a mathematical function for expressing the relationship between two integers. It is the exponent to which a base number must be increased in order to equal a particular number. The base-10 logarithm of 100, for example, is 2, because 10 to the power of 2 equals 100.
Let y = [tex]4^{x}[/tex]
[tex]16^{x}[/tex] + 64 = 5y - 1
[tex]16^{x}[/tex] = 5y - 65
Dividing both sides by 16
x = (5y - 65)/16
x = (5*[tex]4^{x}[/tex] - 65)/16
Substituting y = [tex]4^{x}[/tex]
x = (5*([tex]4^{x}[/tex]) - 65)/16
Simplifying,
x = (5*[tex]4^{x}[/tex] - 65)/16
x = (20*[tex]4^{x}[/tex] - 260)/16
Divide both sides by 20
x = ([tex]4^{x}[/tex] - 13)/2
Take the logarithm of both sides:
log(x) = log([tex]4^{x}[/tex] - 13)/2
Apply the laws of logarithms:
log(x) = x*log(4) - log(13)/2
Solve for x:
x = (log(13)/2)/log(4) - log(x)/log(4)
x = (log(13)/2 - log(x))/log(4)
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How to solve a three variable system of equations on a calculator?.
The 3-Systems of Equations Calculator is an online tool that provides the answer for the unknown variables after solving three equations with three different variables each utilizing a different approach.
To resolve equations involving the three variables x, y, and z, use the 3 systems of equations calculator. A group of three equations with three variables make up the three systems of equations. Three equations are entered, the equations are rearranged, and the values of x, y, and z are solved for.
This calculator can also calculate equations of the second and third degree, which result in complex solutions for the variables x, y, and z. Three actual solutions are provided by the calculator if the equation system is linear.
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Two campers are traveling. One camper is 5 miles East and 4 miles north, represented by the
coordinates (5, 4). The other camper is 7 miles South and 3 miles East, represented by the
coordinates (3,-7). If each unit represents 1 mile, how far apart are the two hikers, to the
nearest mile?
The hikers are approximately
15 miles
from each other.
The two bikers are 11.18 miles apart from each other according o the coordinate plane.
What is coordinate plane?A surface with two dimensions made of two number lines is referred to as a coordinate plane. When the origin, the place where the X- and Y-axes intersect, is reached, it is produced. A coordinate grid's numbers are used to find points. For graphing points, lines, and many other things, a coordinate plane is helpful. It functions as a map and gives precise directions on how to get from one place to another.
Distance between two coordinates is given by
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, (x₁, y₁) is (5, 4) and (x₂, y₂) is (3,-7)
Putting the values in formula
d = [tex]\sqrt{(3-5)^2+(-7-4)^2}[/tex]
d = [tex]5\sqrt{5}[/tex]
d = 11.18 miles
Thus, The two bikers are 11.18 miles apart from each other according o the coordinate plane.
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A rectangle’s length is 8 more than it’s width. Express its perimeter in terms of its width.
Answer:
length= 8x
width= x
perimeter of a rectangle= 2L+2W
=2(8x) + 2(x)
=16x + 2x
perimeter=18x
The ratio of girls to boys in the school play is 5:2. There are 49 kids in the school play.How many are boys?
Answer:
14 boys
Step-by-step explanation:
We know
The ratio of girls to boys is 5:2, which means for every 7 kids, there are 5 girls and 2 boys
So, 49 kids there are
2 x 7 = 14 boys
So, there are 14 boys
hamid has gained weight
he now weighs 88kg which is 10% higher than his normal weight
what is hamids normal weight
Answer:
Let's say Hamid's normal weight is x.
88kg = 110%x
88kg=11/10x
Divide by 11 on each side
8kg=1/10x
Multiply by 10 on each side
80kg=x
Hamid's normal weight is 80kg
What i the eaiet way to combine a imilar file that are all located in the ame folder?
The easiest way to combine a similar file that are all located in the same folder are:
Using the command line.Using a script.Using a text editor.Using a file manager.Specify your file.Combine A Similar File
There are several ways to combine similar files that are located in the same folder, depending on the type of files and the operating system you are using. Some options include:
Using the command line: On Windows, you can use the "copy" command to combine all the files into one, while on Mac or Linux, you can use the "cat" command.Using a script: You can write a script in a language such as Python or JavaScript that reads all the files in a directory and concatenates their contents into a single file.Using a text editor: Some text editors, such as Sublime Text and Visual Studio Code, have a feature that allows you to combine multiple files into one.Using a file manager: Some file managers, such as Windows Explorer and Finder, have an option to select multiple files, right-click and select "combine" or "merge".Please specify your file type and the OS you are using for a more specific solution.Learn more about Combine a similar file here:
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How do you graph Y <- 3x 5?.
The equation y=3x+5 depicts a straight line with a slope of -3 and a y-intercept of 5, and it is written in slope intercept form. Replace x with any number and solve for y to find ordered pairings that can be graphed.
How are linear equations graphed?Write the equation in the form y = mx + b to determine the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept (0, b). Plot the y-intercept next. 3) Depending on whether the slope is positive or negative, go up, down, or left or right from the y-intercept.
How is a function graphed?You must choose x-values and insert them into the equation in order to graph a function. You will obtain a y-value if you enter those values into the equation. Your coordinates for a single point are made up of your x-values and your y-values.
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Full Question = What kind of line does the linear inequality y=3x+5 represent?
A baeball team ha won 25 game and lot 12 game. If the baeball team' rate continue through a 148 game eaon then how many game will they have won
They will win 100 games if the team rate continues through a 148-game season.
We will solve our question with the help of the Multiplication rule.
As per the question, the baseball team has won 25 games and lost 12 games. This will give us a total of 25+12= 37 games.
It is given that if the baseball team rate continues through a 148-game season which is 37*4 = 148 games.
So, we should multiply our initial won matches by 4 to get the final won matches as per the given condition, we will get:
25*4 = 100 matches.
We can also find the answer by:
You would multiply 25 by 148 divided by 37 to determine the number of games won if you were comparing the 25 of the 37 games won to the total of 148 games played.
(148*25)/(25+12)
= 3700/37 = 100
Therefore if the baseball teams' rate continues through a 148-game season, then they will win 100 matches.
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Erika is 12 years older than her friend Nick. She is also 3 times as old as Nick. Let x represent Nick’s current age.
Answer:
Nick is 6 years old.
Erica is 18 years old.
Step-by-step explanation:
Hello!
We know that Erica is 12 years older than Nick, which also means she is 3 times older than Nick. We can represent this situation as two equations.
Let E be Erica's age, and x be Nick's age.
E = x + 12, and E = x* 3
Since E is equal to E, we can say that x + 12 = 3x.
Solve for xx + 12 = 3x12 = 2x6 = xThe value of x is 6. Nick is 6 years old, and Erica is 18 years old.
Find the area of these shaded regions (10-12)
The area of the shaded region is h² +6h, 3x²- 3x and r².
What is Area?•The amount of space occupied by a flat (2-D) surface or an object's shape is known as its area. Draw a square on a piece of paper using a pencil. A 2-D figure, that is. The term "Area" refers to the area that a shape occupies on paper.
•The surface area of a specific 2-D shape is measured as the number of unit squares needed to cover its whole surface area.
•Area measurements are frequently expressed in square cm², square feet, square inches, square meters, etc. Draw unit squares with sides of 1 centimeter to determine the area of the square figures shown below. In order to measure the shape, we shall use the unit cm² or square centimeters.
1st figure
area of shaded region = outer rectangle - inner rectangle
= 3h(h+2) - 2h(h)
= 3h² +6h- 2h²
= h² +6h
area of shaded region = outer rectangle - inner rectangle
= 3x²- 3x
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What is an example of a perfect trinomial?.
Examples of perfect trinomials are-
x 2 + y 2 + XY,
A trinomial that can be expressed as the square of a binomial is referred to as a perfect square trinomial. Remember that the square of the first term, twice the product of the first two terms, and the court of the final time are the results of squaring a binomial. The perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the condition b 2 = 4ac has the form ax 2 + bx + c, it is said to be a perfect square. The outcome variables are (x + r) and (x + s). For instance, to factor x2 + 7x + 10, you need to find two numbers whose sums are 7 (the middle term's coefficient), and 10.To learn more about polynomials here
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Which equation describes the same line as y-6=-4(x+1)
Answer:
y = -4x + 2
Step-by-step explanation:
y-6=-4x+4
y = -4x - 4 + 6
y = -4x + 2
How do you write and graph linear inequalities in two variables?.
Now, According to the question:
Linear inequalities are defined as a mathematical expression in which two expressions are compared using the inequality symbol. The expression can be an algebraic expression or numerical expression or a combination of both.
Graph Linear Inequalities in Two Variables:
Identify and graph the boundary line. If the inequality is ≤ or ≥, the boundary line is solid. Test a point that is not on the boundary line. (If not on the boundary line, (0,0) is usually a convenient test point.) Shade in one side of the boundary line.Learn more about Linear Inequalities at:
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Give me the answer, please
3x° - 3° = 2x° + 13°
They are vertically opposite angle...
3x° - 2x° = 13° + 3°
1x = 16°
x = 16°
hence...the value of x is 16°
Porter is visiting India and would like to purchase some local spices. He finds some spices that cost 401.39 rupees. If the current exchange rate is 1 dollar:73.6500 rupees, how much do the spices cost in U.S. dollars?
Answer:
hey
Step-by-step explanation:
The cost of breakfast cereal is R35 for 1kg calculate how much 25kg of breakfast cereal will cost
Answer:
R875
Step-by-step explanation:
We know
R35 = 1kg of breakfast cereal
? = 25kg of breakfast cereal
35 times 25 = R875
So, 25kg of breakfast cereal will cost R875.
i need help with this
The measure of ∠V of the parallelogram is = 150.5°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the measure of the angle ∠Y = 10x + 27
Let the measure of the angle ∠W = 2x + 29
Now , for a parallelogram the opposite sides are congruent and opposite angles are congruent
Substituting the values in the equation , we get
10x + 27 = 2x + 29
Subtracting 2x on both sides of the equation , we get
8x + 27 = 29
Subtracting 27 on both sides of the equation , we get
8x = 2
Divide by 8 on both sides of the equation , we get
x = 1/4
Let the measure of the angle ∠Y = 10 ( 1/4 ) + 27
Let the measure of the angle ∠Y = 2.5 + 27
Let the measure of the angle ∠Y = 29.5°
Now , same-side interior angles (consecutive angles) are supplementary
Substituting the values in the equation , we get
angle ∠Y + angle ∠V = 180°
29.5° + m∠V = 180°
Subtracting 29.5 on both sides of the equation , we get
m∠V = 150.5°
Hence , the measure of m∠V = 150.5°
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Please help me fast thank you
Answer:
x=32°.
Step-by-step explanation:
Exterior angle add up to 360°
85°+71°+2x°+3x°+44°=360°
=2x°+3x°+200°=360°
=5x°=360°-200°
=5x°=160°
=5x/5=160/5
x =32°.
The mass
a cube, M (kg),
is proportional to the cube of
the length of its edge,
L (m).
The mass
the cube is 40
kg when the length of its
edge is 35 cm.
Work out M (to 2 DP) when L
=
0.6 m
Thanks
The mass when L = 0.6 is given as follows:
M = 68.57 kg.
How to obtain the mass of the cube?The mass of the cube is modeled according to a proportional relationship, as follows:
M = kL.
In which k is the constant of proportionality.
The mass the cube is 40 kg when the length of its edge is 35 cm = 0.35 m, hence the constant is obtained as follows:
0.35k = 40
k = 40/0.35
k = 114.28.
Hence the mass when L is of 0.6 m is given as follows:
M = 114.28 x 0.6
M = 68.57 kg.
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a test is worth 100 points each problem is worth either 2 points or 5 points the number of 5 point problems is22 less than the number of 2 point problems how many problems of each type are on the test
The test had 30 number of problem worth 2 points and 8 number of problem worth 5 points
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
Let x represent the number of 2 points and y represent the number of 5 points.
The number of 5 point problems is 22 less than the number of 2 point, hence:
y = x - 22
x - y = 22 (1)
Also, the test is worth 100 points, hence:
2x + 5y = 100 (2)
From both equations:
x = 30, y = 8
30 number of problem worth 2 points and 8 number of problem worth 5 points
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PLS HELP what is the slope
Y=_x +_
Answer:
it's a little blurry but i think the slope is 2/3 and the y-intercept is -2
Step-by-step explanation:
Re-write the quadratic function below in Standard Form
y=-2(x-3)(x+4)
Answer:
[tex]\boxed{-2x^2 -2x +24\\}\\\\[/tex]
Step-by-step explanation:
The standard form of a quadratic function is:
[tex]y = ax^2 + bx + c\\[/tex]
where a, b and c are constants
[tex]\textrm{The given expression is $y=-2\left(x-3\right)\left(x+4\right)$}[/tex]
Expand the right side of this expression
[tex]-2\left(x-3\right)\left(x+4\right)[/tex]
First expand (x-3)(x+4) using the FOIL method:
[tex](x-3)(x+4)[/tex]
[tex]=x\cdot x+x\cdot \:4-3x-3\cdot \:4\\\\= x^2+x-12[/tex]
[tex]-2\left(x-3\right)\left(x+4\right)\\\\= -2(x^2+x-12)\\\\= \boxed{-2x^2 -2x +24\\}\\\\[/tex]
ANSWER
what is 2 divided by 3/7 PLS HELP MEEEEEEEEEEEEEEEEEE
Answer:
2 / 3/7
2/1 x 3/7
Cross Multiply
14/3
press image for question
Answer:wach the vido
Step-by-step explanation:
how do i solve? im studying so please be detailed
Answer:
26. Scale Factor of A to B: [tex]\boxed{\dfrac{3}{4}}[/tex]
27. Scale factor of B to A: [tex]\boxed{\dfrac{4}{3}}[/tex]
Step-by-step explanation:
If two triangles are similar, the ratios of the side length to the corresponding side length of the other must be the same for all sides
The first challenge is to figure out which side of triangle A corresponds to which side of triangle B
If you flip triangle A counterclockwise by 90° the angles will be aligned with each other and it is easier to see the corresponding sides of A and B
We see that ....
side length 24 of A matches with side length 18 of B
side length 36 of A matches with side length 27 of B
side length 32 of A matches with side length 24 of B
B is of smaller size than A so the scale factor of A to B is less than 1
26.
Therefore the scale factor of A to B is
[tex]\dfrac{18}{24} = \dfrac{27}{36} =\dfrac{24}{32}\\\\\\\dfrac{18}{24}= \dfrac{3}{4} \cdots \textrm { by dividing numerator and denominator by 6}[/tex]
[tex]\dfrac{27}{36} = \dfrac{3}{4} \cdots \textrm { by dividing numerator and denominator by 9}\\\\\\\dfrac{24}{32} = \dfrac{3}{4} \cdots \textrm { by dividing numerator and denominator by 8}\\\\\\[/tex]
So the scale factor of Figure A to Figure B is [tex]\dfrac{3}{4}[/tex]
----------------------------------------------------------------------------------------------
27.
The scale factor of Figure B to Figure A is the reciprocal of
[tex]\dfrac{3}{4}[/tex]
Reciprocal of
[tex]\dfrac{3}{4} \; is \; \dfrac{4}{3}[/tex]
So scale factor of B to A is
[tex]\dfrac{4}{3}[/tex]
Expert need please follow the directions below and answer accurately it will be greatly appreciated. Thank you
Answer:
a. [tex]62^{\frac{1}{3}} = \sqrt[3]{62}[/tex]
b. [tex]220^{\frac{1}{2} = \sqrt{220}[/tex]
a. [tex]\sqrt[3]{240} = 240^{\frac{1}{3}}[/tex]
b. [tex]\sqrt{5} = 5^{\frac{1}{2}}[/tex]
Step-by-step explanation:
Mitch's pool can hold 10,000 gallons of water. At noon, the pool is 80% full. Unfortunately, the pool has a leak, and it loses 120 gallons of water every hour. Mitch turns on a house at noon that fills the pool at a rate of 225 gallons per hour. He checks the water level in the pool every hour, starting at 1 PM. At what time does Mitch first see the pool overflowing?
Step-by-step explanation:
He starts at 8000 gallons when he adds 2000 gals it will overflow
120 gal go out each hour 225 gal goes in each hour net : 105 gal per hour IN
105 x = 2000 gal
x = 19.048 hours until overflow
1 pm + 19 .048 hours = 8.048 AM = ~~8 :03 AM Since he checks every hour, he will first see the overflow at 9:00 AM
if f(x) = x^3 -12x^2 + 29x + 42 and f(7) = 0, then find all zeros of f(x) algebraically
The zeroes of the polynomial f(x) are 7, 6 and -1. The solution is obtained by the method of polynomial long division.
What is polynomial long division?
A long division polynomial is a formula for dividing one polynomial by another of the same degree or lower. The divisor, quotient, dividend, and remainder are all components of the long division of polynomials, just like they are for long division of numbers.
We are given f(7) = 0.
This means that (x-7) is one factor of f(x).
Using Polynomial Long Division,
Dividing : x^3 -12x^2 + 29x + 42 ("Dividend")
By : x-7 ("Divisor")
Dividend x^3 - 12x^2 + 29x + 42
- divisor * x2 x^3 - 7x^2
Remainder - 5x^2 + 29x + 42
- divisor * 5x - 5x^2 + 35x
Remainder - 6x + 42
- divisor * (-6) - 6x + 42
Remainder 0
Quotient : x^2-5x-6
Remainder: 0
Now, factoring x^2-5x-6 , we get
⇒x^2-6x+x-6
⇒x(x-6)+1(x-6)
⇒(x+1)(x-6)
Thus, the factors are (x+1), (x-6) and (x-7).
Hence, the zeroes of the polynomial f(x) are 7, 6 and -1.
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