Of the following, the option which is not a polynomial is 1/x+2. (Option D)
In mathematics, a polynomial refers to an expression consisting of indeterminates and coefficients, that only includes basic arithmetic operations of addition, subtraction, multiplication, and positive-integer powers of variables. In other words, it is a mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power. The general form of a polynomial is a + bx + cx^2. Hence, it is identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents. The non-polynomial expressions will be the expressions which contain other operations such as 1/x+2.
Note: The question is incomplete. The complete question probably is: Which of the following is not a polynomial (a) 3x+5 (b) 3y³-4y² +2y (c)x³-3 d) 1/x+2
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Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profft on every sandwich is S2, and tne profit on every wrap is $3. Sal made a profit of
$1,470 from lunch specials last month. The equation 2X + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the
number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
2. Describe how you would graph this line using the slope-intercept method. Be sure t write using complete sentences.
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4. Graph the function. On
graph. make
graphing echnology.
label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use
5. Suppose Sal's totai profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of or
at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are differant.
Change the equation into slope intercept from .identify the slope and y intercept of the equation
Y= mx +b
2x+3y=1470
Subtracting -2x on both sides,
2x+3y-2x=1470-2x
3y=1470-2x
Divided by 3 on both sides
3y/3=1470/3-2x/3
Y=490-2/3x
Y= -2/3x+490..(1)
we know that,
y=mx +b
with the help of equation (1)draw a graph
we will start from (0,490)and then we will move 2 steps down and 3 step right.
F(x)=-2/3x+490
The graph represent how many graph and sandwich whield,
x=600
put the value of equation (1)
y= -2/3×600+490
y= -400+490
y=90
(600,90)
So these all represent correct things’
1200+270=1470
If you take the x-axis and take the y-axis of any point at that point, the x-axis and the y-axis, when calculating the profit, subtract 0 from 1 4, so it's not. Represents profit Represents the number of sandwiches and reps sold, from which profit is calculated to be 1470.
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Which of the following is the best estimate of
A.7 1/2
B. 8
C.8 1/2
D. 9
Answer:
b
Step-by-step explanation:
did the math?
8 is the best estimate of [tex]8\frac{1}{8}[/tex].
In simple words, the ratio of the two numbers is called a fraction.
Mixed fraction is a form of a fraction which is defined as the ones having a fraction and a whole number.
For example, 2 (1/3) is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Step 1: Multiply the denominator with the whole number,
i.e. Multiply 8 with 8 in the given example, 8(1/8).
8× 8 =64
Step 2: Add the numerator of the Fraction to the result in step 1. i.e., Add 1+ 64=65.
Step 3: Keep the Denominator same i.e. 8.
Step 4: The Improper fraction obtained is: 65/8.
Given number can be denoted as 8+[tex]\frac{1}{8}[/tex] = 8+0.15 = 8.15
So the number is nearest to 8 itself.
i.e. 8 is the best estimate.
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Which of the following is a rational number ?
(Option A) 1/2 - This is a rational number because it is a fraction with both numerator and denominator being integers.
What is a rational number?A rational number is any number that can be written as a fraction of two integers (where the denominator is not equal to zero). Examples of rational numbers include:
Integers (e.g. 5)Fractions (e.g. 1/2), Recurring decimals (e.g. 0.3333)A rational number can be represented in many different forms. It can be written as a fraction, with both the numerator and denominator being integers, or as a decimal, with the decimal part either terminating or repeating. A rational number can also be written as a mixed number, which is a combination of an integer and a fraction.
Since the question is not complete, here is the full task:Which of the following is a rational number?
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Find the equation of the quadratic function f whose graph is shown below.
(1,4)
(2,2)
The equation of the parabola that passes through the points (1,4) and (2,2) would be y = (-4)(x - 1.5)² + 3.
What is a parabola?
A parabola is defined as a collection of points such that the distance to a fixed point (the focus) and a fixed straight line (the directrix) are equal. But it's probably easier to remember it as the U-shaped curved line created when a quadratic is graphed.
To find the equation of the parabola that passes through the points (1,4) and (2,2), we can use the formula for the general form of the equation of a parabola:
y = a(x - h)² + k
where (h,k) is the vertex of the parabola, and a is a nonzero constant that determines the direction and shape of the parabola.
To find the values of a, h, and k that will give us the equation of the parabola that passes through the points (1,4) and (2,2), we can use the following steps:
Find the coordinates of the vertex of the parabola. The vertex of the parabola is the point where the parabola changes direction. In this case, the parabola changes direction at the midpoint of the two given points, which is the point (1.5,3).
Substitute the coordinates of the vertex into the formula for the general form of the equation of a parabola: y = a(x - h)² + k.
Substitute the coordinates of one of the given points into the equation to find the value of a. For example, if we substitute the coordinates of the point (1,4) into the equation, we get:
4 = a(1 - 1.5)² + 3
4 - 3 = a(-0.5)²
1 = a(-0.25)
a = -4
Substitute the values of a, h, and k into the formula for the general form of the equation of a parabola to find the equation of the parabola that passes through the points (1,4) and (2,2):
y = (-4)(x - 1.5)² + 3
Hence, the equation of the parabola that passes through the points (1,4) and (2,2) would be y = (-4)(x - 1.5)² + 3.
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What is the vertex of the graph of g(x)=|x-8|+6
The vertex of the function g(x) = |x - 8| + 6 is (8, 6)
How to determine the vertex of the function?From the question, we have the following parameters that can be used in our computation:
g(x) = |x - 8| + 6
The above equation is an absolute value function
An absolute value function represented as
y = a|x - h| + k
Where
Vertex = (h, k)
This means that the vertex is
Vertex = (8, 6)
Remove the x value
y = 6
Because the leading coefficient is positive, then the vertex is a minimum
i.e.
y ≥ 6
So, the range is y ≥ 6
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The population of bears on a nature preserve was 95 last year.This year , the population increased by 20% . what is the new bear population on the preserve
Answer:
114
Step-by-step explanation:
120% of 95 = 1.2 × 95 = 114
Solve the inequality
8+3x<20
Answer:
x < 4
Step-by-step explanation:
8 + 3x < 20 ( subtract 8 from both sides )
3x < 12 ( divide both sides by 3 )
x < 4
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8 + 3x < 20}[/tex]
[tex]\mathsf{3x + 8 < 20}[/tex]
[tex]\text{Subtract by 8 to both sides}[/tex]
[tex]\mathsf{3x + 8 - 8 < 20 - 8}}[/tex]
[tex]\text{Simplify it}[/tex]
[tex]\mathsf{3x < 20 - 8}[/tex]
[tex]\mathsf{3x < 12}[/tex]
[tex]\text{Divide 3 to both sides}[/tex]
[tex]\mathsf{\dfrac{3x}{3} < \dfrac{12}{3}}[/tex]
[tex]\text{Simplify it}[/tex]
[tex]\mathsf{x < \dfrac{12}{3}}[/tex]
[tex]\mathsf{x < 4}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x < 4}}}\huge\checkmark[/tex]
[tex]\rm{You\ have\ an\ O P E N\ circle\ shaded\ to\ the\ left\ }\large\checkmark[/tex]
[tex]\huge\text{Good luck on assignment \& enjoy your day!}[/tex]
Which property of equality justifies the statement if x - 2 = 9, then x = 11
The equality property that is used to prove the statement is the addition property of the equality.
Which property of equality justifies the statement?Let's start with the general equation
A = B
That we assume is a true equation.
There is a property called the addition property of the equality, it says that we can add the same number in both sides of the equation.
Then if we add a number C in both sides, we will get:
A + C= B + C
And that equation is still true.
Ok, let's go to our equation:
x - 2 = 9
We can add the same number in both sides which is 2, then we get:
x - 2 + 2 = 9 + 2
x = 11
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What is the image point of (-1, -3) after the transformation D2 0 T-4,-5?
The image of the point after the transformation D₂,₀ T₋₄,₋₅ is (-6, -15)
What is a dilation?Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.
How to determine the image of the point?The coordinates of the point are given as
(-1, -3)
The transformation is given as D2 0 T-4,-5
This transformation, when properly expressed is
D₂,₀ T₋₄,₋₅
This represents
Dilation by a scale factor of 2 across the origin4 units left translation and 4 units down translationAs mentioned above,
D₂,₀ T₋₄,₋₅
Mathematically, we have
(x, y) ⇒ (2x - 4, 2y - 5)
Substitute (-1, -3) in (x, y) ⇒ (2x - 4, 2y - 5)
So, we have
(x, y) ⇒ (2(-1) - 4, 2(-5) - 5)
Evaluate
(x, y) ⇒ (-6, -15)
Hence, the coordinates of the image are (-6, -15)
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The students calculate a chi-squared value of 92.86 and compare it with a critical value of 7.82. Which of the following best completes the chi-square good The null hypothesis cannot be rejected, and the students should conclude that the data fit a model of independent assortment. The null hypothesis cannot be rejected, and the students should conclude that the data may have resulted from genetic linkage. The null hypothesis can be rejected, and the students should conclude that the data fit a model of independent assortment The null hypothesis can be rejected, and the students should conclude that the data may have resulted from genetic linkage.
The students should draw the conclusion that the data might have been caused by the genetic connection if the null hypothesis is rejected.
Given information;
The students determine a crucial value of 7.82 and compare it to a chi-squared value of 92.86.
Which of the following results in the chi-square goodness-of-fit test being most complete?
The null hypothesis can be rejected, and the students should conclude that the data may have resulted from the genetic linkage.
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Al Roy bought five bonds of Jort Co. 11 3/4 at 93.25 and four bonds of Inst. System 12x08 for 81.125. If the commission on the bonds is $2.50 per bond, the total cost of all the purchases is:
Multiple Choice
$4,662.50
$3,425.00
$7,930.00
$7,907.50
The required total cost of all the purchases is $7,930.00. Option C is correct.
Given that,
Al Roy bought five bonds of Jort Co. 11 3/4 at 93.25% and four bonds of Inst. System 12x08 for 81.125%, the commission on the bonds is $2.50 per bond.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Total bond = 4 + 5 = 9
Face value of a bond = $1000
Total cost = $1000 × 0.9325 × 5 + $1000 × 0.81125 × 4 + 2.50 × 9
Total cost = $7,930.00
Thus, The required total cost of all the purchases is $7,930.00. Option C is correct.
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which of the following equations could be the result of using substitution to solve the system
Therefore the solution of the equations could be the result of using substitution is 2[tex]y^{2}[/tex]-6 -y=0
What is equation?In English, an equation is defined as a properly written formula that consists of two expressions joined by an equals sign, while cognates of the word in other languages may have slightly different meanings. For instance, in French, the word "équation" means "thing with one or more variables."
Given two equations are
x=[tex]y^{2}[/tex]-1 and 2x-y=4
We must select an equation from the list of possibilities that may be obtained by utilizing substitution to resolve the problem.
We substitute x in terms of y because the supplied equation is in terms of y.
From 2x-y=4
x=4+y/2
Substitute x=4+y/2 in other equation
We get,
=> x=[tex]y^{2}[/tex]-1
=> 4+y/2 =[tex]y^{2}[/tex]-1
=>4+y=2[tex]y^{2}[/tex]-2
=>2[tex]y^{2}[/tex]-6 -y=0
Therefore the solution of the equations could be the result of using substitution is 2[tex]y^{2}[/tex]-6 -y=0
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What is the domain of the function graphed?
A. {x:x > -4}
B. {x:x < -4}
C. {x:x ≥ -4}
D. all real numbers
(If you have the time, please give an explanation because I completely forgot how to solve these problems)
The correct option is D .
This is a parabola with domain all real numbers D .
How to graph:
y= 2x - 5
Answer:
see attached
Step-by-step explanation:
You want to graph y = 2x -5.
GraphOften, the easiest way to graph a linear equation in slope-intercept form is to graph the y-intercept point, then use the slope to identify one or more additional points on the line. The graph is the line through the plotted points.
Slope-intercept formThe slope-intercept form of the equation of a line is ...
y = mx +b
where m is the slope, and b is the y-intercept.
The y-intercept is the point on the y-axis where the line crosses it. The coordinates there are (0, b).
Here, we have y = 2x -5, so m=2 and b=-5. The y-intercept point is (0, -5).
The slope is the ratio of "rise" to "run" for the line. A slope of 2 means the line rises 2 units for each 1 unit it goes to the right. That means (0 +1, b+2) will be another point on the line: (1, -3).
create the line chart using just the data from the order date and total sale columns. be sure to include the header row when selecting the data for the chart.
The line chart can be created using insert tab and then click line symbol in charts group.
How to make line chart in excel?Line chart is a type of chart with line visualization to show information of changing values over time.
Insert tab is tab in excel to insert object, symbol, chart, etc.
To create line chart,
Select the entire columns of order date and total sale (include the header row, ordinary in first row).Click insert tab, then see chart group, next click line symbol.Click one of type of line chart you want.Then, the line chart will appear on sheet with header row.I'm attaching a image for microsoft excel 365 version, your excel version may be different, but the line chart is still in the insert tab.
Thus, to create the line chart use insert tab and in chart group click line symbol.
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X, Y and Z form the vertices of a triangle, where
∠
YXZ = 62°, XY = 6.1m and XZ = 7.9m.
Calculate the area of the triangle. Round your answer to 1 DP.
Answer:
Step-by-step explanation:
When sides 'z' and 'y' and included angle X is known, the area of the triangle is:
Area (∆XYZ) = 1/2 × yz × sin(X)
1/2 x 7.9 x 6.1 x Sin(62) = 21.27
Jina is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $91
and allows unlimited mileage.
Company B has an initial fee of $55
and charges an additional $0.80
for every mile driven. For what mileages will Company A charge less than Company B?
Use m
for the number of miles driven, and solve your inequality for m
Hence for miles greater than 45, the Company A will charge less than Company B.
Given:
Jina is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $91 and allows unlimited mileage.Company B has an initial fee of $55 and charges an additional $0.80 for every mile driven.we are asked to find for what mileages will Company A charge less than Company B = ?
from the question we frame the inequality as:
⇒ 91< 55+0.80m
⇒ 36<0.80m
⇒ 45<m
or
m>45
Check answer
55+45(0.8)=91 check
Hence for miles greater than 45, the Company A will charge less than Company B.
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What is the circumference of a circle with radius 17 mm?
The circumference of the circle with radius 17 millimeter is 106.76 millimeter
The radius of the circle = 17 millimeter
The circumference of the circle is defined as the linear distance around the circle
The radius of the circle is the distance between the center of the circle to the any point of the circumference.
The circumference of the circle = 2 × π × r
Where r is the radius of the circle
The value of the π = 3.14
Substitute the values in the equation
The circumference of the circle = 2 × 3.14 × 17
Multiply the numbers
= 106.76 millimeter
Therefore, the circumference of the circle is 106.76 millimeter
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Ticket sales for Six Flags White Water totaled $94,520 this summer. Tickets for the water park cost $17 each. How many tickets were sold?
The number of tickets that will be sold is 5560.
What is division?
A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.
Ticket sales for Six Flags White Water totaled $94,520 this summer.
Tickets for the water park cost $17 each.
The number of tickets sold will be = 94520/17 = 5560.
Hence, the number of tickets that will be sold is 5560.
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Consider the solid that lies above the square R=[0,2]X[0,2] and below the elliptic paraboloid z=81-x^2-y^2.a.) estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners.b.) estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners.c.) what is the average of the two answers from a and b.d.) using iterated intergrals compute the exact value of the volume.
Volume of the solid (when squares divided into 4 equal parts in the lower left hand corners) = 318 cubic units.
Step-by-step explanation:
Paraboloid z=81-x2 -y2
The lower left hand corners of the squares are(0,0)(1,0)(0,1) and (1,1).
Then the volume can be estimated as,
Volume ≈ΔA [f(0,0)+f(1,0)+f(0,1)+f(1,1)]
= 1[81+79+80+78]=318 cubic units.
b.) estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners.
Volume of the solid (when squares divided into 4 equal parts in the upper right hand corners) = 294 cubic units.
Paraboloid z=81-x2 -y2
The upper right hand corners of the squares are(1,1)(2,1)(1,2) and (2,2).
Then the volume can be estimated as,
Volume ≈ΔA [f(1,1)+f(2,1)+f(1,2)+f(2,2)]
= 1(78+69+75+72)=294 cubic units
c.) what is the average of the two answers from a and b
Average of part a and b answer = (318+294)/2 = 712/2=306 cubic units
d.) using iterated integrals compute the exact value of the volume.
0202(81-x2 -y2) dy dx = 02[81y-x2y-⅓ y3]02 dx
= 02[162-2x2-8/3] dx
= [162x-2x3/3-8/3 x]20
=644-16/3-16/3
= 644 cubic units.
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CAN SOMEONE HELP WITH THIS QUESTION?✨
The simplified form of function sin(t)sec(t) is tan(t)
What are trigonometric ratios?The trigonometric functions and identities are the ratio of sides of a right-angled triangle. The sides of a right triangle are the perpendicular side, hypotenuse, and base, which are used to calculate the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulas.
sec(t) = 1/cos(t)
replacing sec(t) in the function sin(t)sec(t)
we have sin(t) x 1/cos(t) which becomes sin(t)/cos(t)
but sin(t)/cos(t) = tan(t)
In conclusion the simplified form of the function is tan(t)
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Find the area of the circle x2 + y2 + 4x – 8y – 29 = 0. in sq.units
Answer:
A ≈ 154 units²
Step-by-step explanation:
the area (A) of a circle is calculated as
A = πr² ( r is the radius)
to calculate the area we require to know r
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
given
x² + y² + 4x - 8y - 29 = 0
collect x and y terms together and add 29 to both sides )
x² + 4x + y² - 8y = 29
obtain standard form for circle using the method of completing the square
add ( half the coefficient of the x/ y terms)² to both sides
x² + 2(2)x + 4 + y² + 2(- 4)y + 16 = 29 + 4 + 16
(x + 2)² + (y - 4)² = 49 = r² ← in standard form
Then
A = πr² = π × 49 ≈ 154 units² ( to the nearest whole unit )
find total amount to be repaid. round to nearest cent as needed.
The total amount to be repaid by Neema will be $4135.50
How to calculate the total amount?It was illustrated that Neema bought appliances that cost $3805 at an interest charge of 5% and she will pay back in two years.
Since there is a $500 down payment, the remaining amount will be:
= $3805 - $500
= $3305
Therefore, the interest will be:
= PRT
= $3305 × 5% × 2
= $330.50
Therefore, total amount will be:
= $3305 + $500 + $330.50
= $4135.50
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The triangle ABC is an isosceles triangle. What are each of the congruent base angles if the vertex angle measures 40 degrees?
Therefore the solution to the given problem is the each of the congruent base angles is 70°
What is angle?In Euclidean geometry, an angle is the figure generated by two rays, called the sides of the angle, sharing a common termination, called the vertex of the angle. Angles created by two rays are in the plane where the rays are located. The intersection of two planes also forms angles. We refer to these as dihedral angles.
Here,
As the triangle is an isosceles triangle therefore it will have 2 same angles
thus,
Sum of the 3 angles of a triangle=180°
Vertex angle =40°
Sum of two congruent angles=180°–40°=140°
Measure of each base angle=70°
Therefore the each of the congruent base angles is 70°
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Which of the following is the absolute value parent function?
Answer:
The absolute value parent function is represented by the function F(x) = |x|. This function takes any real number as input and returns the absolute value of that number as output. For example, F(5) = |5| = 5, and F(-3) = |-3| = 3. The other functions you have listed are not absolute value functions.
Step-by-step explanation:
prove that the maximum spanning tree of g contains the widest paths between every pair of vertices.
Proving that the maximum spanning tree of g contains the widest paths between every pair of vertices .
Suppose now we were to add an edge from the widest path into the spanning tree in a place that it won't cause a cycle.
so every path between our two nodes must contain some edge between two previously unconnected nodes.
The weight of the edge we removed was equal to the width of the original path, and because the path was that every edge in the new path must have had more weight than that edge.
This means that our new spanning tree must have strictly more total weight than the original, which contradicts the definition of the original 'maximum' spanning tree.
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Tinas chihuahua had 6 puppies.she can sell each one for 150 how much koney would she make
Answer: $900
Step-by-step explanation:
1 puppy cost- $150
150×6 puppies= $900 dollars
Answer:
She would make 900
Step-by-step explanation:
You can split the multiplication for example, I split the hundreds and tens. First you multiply 6 to 100. We know that 6×1=6 so we use that by taking out the two zeros in the beginning and adding them back after multiplying by 1. It would then become 6×100 ~> 6×1(⁰⁰) ~> 6 then add back the zeros which would then become 600! Now we multiply 6 to 50. We use the same method again. 6×5(⁰) ~> 30(⁰) ~> 300. Now we add those two products together. 600+300=900
What is the equidistant Theorem?
The Equidistant Theorem states that the distance between two points on a line is equal to the sum of the distances from each point to a third point. This theorem is often used to prove the existence of certain geometric shapes, such as triangles and circles.
What is the equidistant Theorem?The Equidistant Theorem is a useful tool for proving the existence of certain geometric shapes. By measuring the distance between two points and then measuring the distance from each point to a third point, the distance between the two points will be equal to the sum of the distances of the two points to the third point.
This theorem is helpful for constructing triangles and circles, as it allows us to quickly and accurately identify the necessary distances between the points. This theorem is also useful for finding the center of a circle, as the center of the circle is always equidistant from its circumference. As a result, the Equidistant Theorem is a fundamental theorem in geometry that is used to prove the existence of certain geometric shapes.
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The formula for finding the volume of a cube is V = s3, where s is the length of the side of the cube. Terrance has a cube that measures 3 inches long along each side. What is the volume of the cube? _______________inches3 ( just write the number)
The volume of the cube with a side edge of 3 inches will be 27 cubic inches.
What is a volume of a cube?Suppose that: The side length of the considered cube is L units. Then, we get:
Volume of that cube = L³ cubic units.
Terrance has a shape that actions 3 inches long along each side.
The edge length of the cube is 3 inches. Then the volume of the cube will be given as,
V = (3)³
V = 27 cubic inches
The volume of the cube with a side edge of 3 inches will be 27 cubic inches.
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division- answer in gallons and quarts. no fraction or decimals.
3/10gallons 11 quarts
1 gal =4 quarts
Answer:
Step-by-step explanation:
To solve this problem, we need to divide 3/10 gallons by 1 gallon, which is equal to 4 quarts.
First, let's convert the fraction 3/10 to a decimal by dividing the numerator by the denominator: 3 / 10 = 0.3
Then, we can divide 0.3 gallons by 1 gallon to get the equivalent number of gallons in quarts: 0.3 gallons / 1 gallon = 0.75 quarts
Since 1 quart is equal to 0.25 gallons, 0.75 quarts is equivalent to 3/4 of a gallon.
Finally, we can add the number of quarts given in the problem (11 quarts) to the number of quarts equivalent to the number of gallons (3/4 of a gallon, or 3 quarts). This gives us a total of 14 quarts, which is equivalent to 3 and 1/2 gallons.
Therefore, the final answer is 3 gallons and 11 quarts.