Answer:
5 side because 3 sides are 108 and 1 is 81
A kangaroo hops 2 kilometers in 3 minutes. At this rate how far does the kangaroo travel in 9 minutes
Answer: 6.
Step-by-step explanation:
Since it starts with 2 kilometers in 3 minutes add 3 more minutes that would but six then double the kilometers to 4 then add another 3 minutes which would but 9 where it stops and add another 2 in the kilometers then i would be 6 .
step by step:
1. 3 minutes and 2 km
2. add 3 more (6) and double the kilometers 2 times(4)
3. add 3 more (9) and add another 2 to the km (9)
one lot must be ten meters longer than it is wide, and the total area must be 1656 m2. what are the length and width of the lot
The length and width of the lot are 46m and 36m respectively
Let the width of the lot be x,
therefore, length=x+10 (as the lot must be 10m longer than it's wide)
Now, according to the question:
Area of the lot= 1656 m²
Area of a rectangle is given by the product of it's length to width, that is:
⇒ Length × Width= 1656 m²
⇒ (10+x).x= 1656
⇒ 10x+x²= 1656
⇒ x²+10x-1656=0
⇒x²+46x-36x-1656=0
⇒x(x+46)-36(x+46)=0
⇒(x-36)(x+46)=0
⇒x=36 or x=-46(which can be ignored)
∴ x=36 and 10+x=46
So, the length of the lot is 46m and the width is 36m.
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PLEASE ANSWER QUICKLY WILL GIVE BRAINLIEST!!!
m∠ c=______? Enter your answer as a number.
For the Δabc the measure of angle c is ∠c = 113°.
What is triangle?
Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. Triangle ABC refers to a triangle with the vertices A, B, and C. In Euclidean geometry, any three points that are not collinear determine a singular triangle and a singular plane at the same time.
Consider, the given triangle Δabc with a = 30°, b = 37°.
We have to find the measure of ∠c.
Since the sum of three angles of triangle is 180°.
So,
∠a + ∠b + ∠c = 180°
30° + 37° + ∠c = 180°
67° + ∠c = 180°
∠c = 180° - 67°
∠c = 113°
Hence, for the Δabc the measure of angle c is ∠c = 113°.
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PLEASE HELP WILL MAKR BRAINLIEST! Solve for y!!
Answer:
Below
Step-by-step explanation:
All of the angles are the same (their opposite sides are =)....it is an equilateral triangle
all of the angles sum to 180°
each angle is then 60°
5y+10 = 60
5y = 50
y = 10 °
Planet A has a mass of 5*10^26 kilograms. Planet B has a mass of 2*10^28 kilograms. Choose which planet has the larger mass. Then fill in the blank with a number written in standard notation.
The planet that has the larger mass is the planet B and the measurements in standard forms are
Planet A = 500000000000000000000000000 kilograms Planet B = 20000000000000000000000000000 kilogramsHow to determine the planet that has the larger massFrom the question, we have the following parameters that can be used in our computation:
Planet A = 5*10^26 kilograms
Planet B = 2*10^28 kilograms
Rewrite the masses properly
So, we have
Planet A = 5*10²⁶ kilograms
Planet B = 2*10²⁸ kilograms
The exponent 28 is greater than the exponent 26
This means that
2*10²⁸ is greater than 5*10²⁶
So, we have
Planet B has the larger mass
When the measurements are expressed in standard forms, we have
Planet A = 500000000000000000000000000 kilograms
Planet B = 20000000000000000000000000000 kilograms
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Which equation is represented by the graph below
Answer: pls show list of equations
Step-by-step explanation:
In an exhibition, the cost of tickets for an adult is ₹5 more than thrice the cost of ticket for a child. Which equation relates the cost, , of adult ticket in terms of the cost, , of child ticket?
In an exhibition, the cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
Equation relates the cost, y, of adult ticket in terms of the cost, x, of child ticket.
Cost of Adult ticket = y
cost of child ticket = x
cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.
=> cost of tickets for an adult = 5 + 3 (cost o f ticket for a child.)
=> y = 5 + 3x
=> y = 3x + 5
Equation is y = 3x + 5
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What is the x-intercept?
Answer:
1
Step-by-step explanation:
This is where the line intercepts (crosses) the x-axis, here is 1.
28. Use Formala 3. Carlene Sadhal deposits $1,900 in an ordinary annuity at the end of each quarter in an account
earning 8% interest compounded quarterly. What is the future value of the account in 2 years?
The future value of the account in 2 years is $2226.15
How to determine the Future Value of the investmentThe given variables can be represented as:
Principal amount P = $1900Rate of interest, R = 8%Duration of the investment, t = 2 yearsThe Future value can be calculated using the formula given as
FV = P(1 + r/n)^nt
Also from the question, we have
n = 4
This is so because the investment is compounded 4 times in a year as a result of being compounded quarterly
Solving further, we replace the variables with their values in the above equation
FV = 1900 * (1 + 8%/4)^(4 * 2)
Evaluate
FV = 2226.15
Hence, the amount is $2226.15
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Which equation is linear?
-3
O y = 2+4
O y = 4x³ - 10
Oy= 3x (x - 2)
0y = 2-5
4
Can someone help this please and thank you
The negation of the statement "I am in physics class"will be:
I am not in history class - False.
It is not the case that I am in history class. - False.
It is not the case that I am in physics class. - True.
I am in history class - True.
How to illustrate the negation?It should be noted that a negation simply means the negative of the statement or sentence that's given. In this situation, the statement is that "I am in physics class".
The negation that supports it will be that "It is is not the case that I am in physics class" and "I am in history class". This negates the original sentence.
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yes Are these polygons congruent? 1.5 cm 4 cm 3 cm no 2 cm
Which point is a solution to the system of linear equations?
y = -x +3
2x - y = 6
(3,0)
(3,-1)
(0,3)
(-1,3)
The solution to the equations y = -x + 3 and 2x - y = 6 is at the point (3, 0)
What is Linear Equation?
A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.
Please refer to the graph attached
y = -x + 3
2x - y = 6
So, from the graph it can be observed that the curves of both the equations intersectr at the pont (3, 0) so,
the solution to the equations is at the point (3, 0)
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Find the value of a if the line line y=-x+4 is tangent to the graph of f(x) = x^2 - 5x +a
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
If the line y=-x+4 is tangent to the graph of f(x) = x^2 - 5x + a, it means that the line and the graph of the function are just touching at a single point, and are not intersecting at any other points.
To find the value of a, we can start by setting the equation for the line and the equation for the function equal to each other:
y = -x + 4
f(x) = x^2 - 5x + a
Then, we can substitute the equation for the function into the equation for the line:
-x + 4 = x^2 - 5x + a
We can then solve this equation for a by moving all the terms to one side:
-x + 4 - x^2 + 5x = a
-x^2 + 6x - 4 = a
We can see that the left-hand side of this equation is a quadratic expression in x, and we know that a quadratic function is tangent to a line when the line is a horizontal tangent. This occurs when the derivative of the function is equal to the slope of the line.
The derivative of f(x) = x^2 - 5x + a is 2x - 5, so we can set this equal to the slope of the line, which is -1:
2x - 5 = -1
2x = -6
x = -3
Now that we know the value of x, we can substitute it back into the equation for the function to find the value of a:
f(-3) = (-3)^2 - 5(-3) + a
f(-3) = 9 + 15 + a
f(-3) = 24 + a
Since the line and the function are just touching at this point, the y-value of the function at x=-3 must be equal to the y-value of the line at x=-3. We can substitute these values into the equation for the line to find the value of a:
y = -(-3) + 4
y = 3 + 4
y = 7
Substituting this back into the equation for the function, we get:
f(-3) = 24 + a = 7
a = 7 - 24
a = -17
Therefore, the value of a is -17.
what do you mean by tangent?
A tangent is a line that touches a curve at a single point, but does not intersect the curve at any other points. In other words, it is a line that is just "skimming" the curve, rather than crossing it.
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Ma Baker's Pies charges $12 for a pumpkin pie and $14 for an apple pie. Last week, they sold a third as many pumpkin pies as apple pies, for a total of $5,400. How many pumpkin pies were sold last week?
20 POINTS!!!!
The Ancient Egyptians were the first to invent a dish close to what we know as a pie today. They had a honey filling covered in a crusty cake made from oats,
Who was the first American author of a recipe for pumpkin pie?This type of pie appears to have been made by some of the early colonists as well—but, by 1796, when Amelia Simmons' American Cookery, the first cookbook written by an American and published in America, appeared, pumpkin pie had evolved into a familiar form that we would recognize today.The cost of one apple pie = $6They stewed pumpkins or filled a hollowed out pumpkin shell with milk, honey and spices, and then baked it in hot ashes. Northeastern Native American tribes grew squash and pumpkins. The Native Americans brought pumpkins as gifts to the first settlers, and taught them the many uses for pumpkin.Types of squashes were first introduced to Europe in the form of Pumpkin seeds brought back from the Americas by Columbus himself. The introduction of pumpkins affected the way food was consumed in Europe. In both Italy and Spain, pumpkins were used in puddings and soups, making food much tastier and more enjoyable.And cost of one pumpkin pie = $8
Let the cost of one apple pie be $x
And cost of one pumpkin pie be $ y.
According to given problem,
For Lisa : sold 8 apple pies and 4 pumpkin pies for a total of $80
8x + 4y = 80 ------------(1)
For Shreya : sold 8 apple pies and 3 pumpkin pies for a total of $72
8x + 3y = 72 ---------------(2)
Solving equation (1) and (2), to get x and y.
Subtract equation (2) from equation (1)
i.e 8x + 4y - (8x +3y) = 80 - 72
or 8x - 8x + 4y - 3y = 8
or y = 8
And x = 6 { 8x + 4×8 = 80 or x = (80 - 32)/8 = 48/8 = 6 }
Hence, the cost of one apple pie = x = $6
And cost of one pumpkin pie = y =$8
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k3-4j=12,wen k =8,j=2
With the Application of Arithmetic operators the value of given equation is 492.
what is Arithmetic operators?
an operator that works with groups and numbers in arithmetic. The prefix and the binary plus (+) and minus (-) symbols are the only arithmetic operators in AHDL that are supported for Boolean expressions.
solution:
sub k =8,j=2 in equation k^3-4j = 12
Therefore, (8)^3 - 4 (2) = 12
512 - 8 - 12 = 0
492 is the value.
Therefore the value of given equation is 492
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Complete Question:
What Is The Answer
k3 - 4j +12, when k=8, j=2
suppose that a product is designed to function for 10,000 hours with a 3% chance of failure. find the average number of failures per hour and the mttf.
A product is designed to function for 10,000 hours with a 3% chance of failure , then Average number of failures per hour = 0.03/10000 = 0.000003 and MTTF = 1/0.000003 = 333,333 hours
Given,
Chance Product is designed to function for 10,000 hours
of failure is 3%
To find,
Average number of failures per hour
MTTF
Solution,
Average number of failures per hour = Chance of failure/Total hours of function
= 3%/10000
= 0.03/10000
= 0.000003
MTTF = 1/Average number of failures per hour
= 1/0.000003
= 333,333 hours
The product is designed to function for 10,000 hours with a 3% chance of failure. This means that the average number of failures per hour is 0.000003 and the Mean Time To Failure (MTTF) is 333,333 hours. This means that, on average, the product should last 333,333 hours before it fails.
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suppose the random variable, x, is distributed normal with mean 4 and standard deviation 1.37. suppose the probability that x is less than the value x is equal to 0.8907, that is, p(x0.8907. what is x?
Since the probability is less than equal to 0.8907, then the value of x is 0.9750.
Given, the random variable is from of a normal distribution with
μ = 4 and σ = 1.37
.where, μ is the mean value and σ is the standard deviation.
According to the Question:
P(X≤8.907) = P( X−μ/σ ≤ 0.8907 - 4.00/ 1.37)
= P ( Z ≤ -29196.43)
Using Z-table we get a value of x which is 0.9750
So,
P(X ≤ 0.8907) = 97.50%
According to the calculations, the required value of x is 97.50%.
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What is the volume of this cylinder?
Use 3.14 and round your answer to the nearest hundredth.
0.9 mm
2.9 mm
Volume of the cylinder is = [tex]\pi r^{2}h[/tex] = [tex]3.14 * (.9)^{2}*2.9[/tex] = 7.37586 = 7.38 cu. mm
What is Cylinder ?A cylinder is a three-dimensional solid that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centres of the two bases. The height of the cylinder is "h," while the radius of the cylinder is "r," measuring the distance from the axis to the outside surface.
Each form has specific characteristics that set it apart from other shapes. Consequently, cylinders share those same traits.
The bases are always parallel and congruent.A "Right Cylinder" is one in which the axis makes a right angle with bases that lie directly over one another.Given that it has the same cross-section everywhere, it is comparable to a prism.It is referred to as a "Oblique Cylinder" if the bases are sideways rather than directly over one another and the axis does not form the proper angle with the bases.It is referred to as a right circular cylinder if the bases are circular.It is referred to as a "Elliptical Cylinder" if the bases are elliptical in form.Radius(r) of the cylinder is .9 mm
Height(h) of the Cylinder is 2.9 mm
Volume of the cylinder is = [tex]\pi r^{2}h[/tex] = [tex]3.14 * (.9)^{2}*2.9[/tex] = 7.37586 = 7.38 cu. mm.
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What is the equation of a line that passes through (8,-5) and is parallel to the graphed line?
Answer:D. y = 3/4x + 1
Nick has two pet rabbits.His Flemish giant rabbit weighs 5 times as much as his Holland lop rabbit,If nich's Flemish rabbit weighs 12 more pounds than his Holland lop rabbit,how much does his Flemish giant rabbit weight?
Answer:The Flemish giant rabbit weighs 32 pounds.
Step-by-step explanation:
I need help!! please help me
Answer:
n = 8
Step-by-step explanation:
interior angle = [tex]\frac{180(n-2)}{n}[/tex]
given that interior angle = 135° then equating gives
[tex]\frac{180(n-2)}{n}[/tex] = 135 ( multiply both sides by n to clear the fraction )
180(n - 2) = 135n ← distribute parenthesis on left side
180n - 360 = 135n ( subtract 135n from both sides )
45n - 360 = 0 ( add 360 to both sides )
45n = 360 ( divide both sides by 45 )
n = 8
number of sides is 8
A certain television is advertised as a 38-inch TV (the diagonal length). If the width of the TV is 29 inches, how tall is the TV? Round to the nearest tenth of an inch.
The length of the television would be = 24.6 inches
What is Pythagorean theorem?The Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
That is, a² + b² = c²
Where, c.= the diagonal length of the TV = 38 inches
a = the width of the TV = 29 inches
b = the length of the TV =>X inches
Using the formula;
29² + x² = 38²
x²= 38² - 29²
x² = 1444 - 841
x² = 603
x = √603
X= 24.6 inches.
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Identify the slope and y-intercept of each linear function's equation. X -3=4 slope = 1; y-intercept at -3 y=1-3x slope =-3; y-intercept at 1 y = 3x. - 1 slope =-1; y-intercept at 3 -x+3=y slope = 3; y-intercept at -1
Using slope-intercept form, the slope and y-intercept of the equation are 1 and - 7 respectively
Slope and Y-interceptThe slope-intercept formula is often used to calculate or identify the slope, the y-intercept, the x-intercept, or the equation of a straight line in the equation.
The slope of the line is defined as the rate of change of the y - axis to the change in the x - axis.
The formula is represented as;
m = Δy / Δx
where Δ represent the change
The y-intercept of a line is the point at which the line touches the y-axis of the graph.
With these information, we can write a slope-intercept form of a straight line which is given as;
y = mx + c
m = slopec = y-interceptIn the given question;
x - 3 = 4
Let's collect like terms
x - 3 - 4 = x - 7
The equation can be rewritten as y = x - 7
In this case, the slope is 1 and the y-intercept is - 7
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a number squared divided by 2 added to 16
The statement is algebraically as x^2/18
What is an algebraic expression?An algebraic expression can be defined as an expression that contains variables, constants, terms, coefficients and factors.
These expressions are also known to include mathematical or arithmetic operations, such as;
AdditionParenthesesBracketDivisionMultiplicationSubtractionIt is also important to note that fractions are the part of a whole variable or element.
From the information given, we have that;
a number squared
Let the number be x, we have;
(x ^2 /2+ 16)
Add the denominators
x^2/18
Hence, the expression is x^2/18
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Complete question:
a number squared divided by 2 added to 16.
Write in algebraic form.
Tommy is flying his kite one afternoon and notices that he has let out
the entire 130 ft of string. The angle his string makes with the ground
is 48°. How high, to the nearest foot, is his kite at this time?
If Tommy is flying his kite one afternoon and notices that he has let out
the entire 130 ft of string. The height , to the nearest foot, is his kite at this time is : 144 ft.
How to find the height?Given data:
String = 130 ft
Angle = 48°
Let h represent the height
Hence,
Tan48° = h/130
h= 130 tan48°
h = 130 (1.11061251483)
h = 144 ft
Therefore we can conclude that the height is 144ft.
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What is the following product? Assume y 20.
The product of the given polynomial is, [tex]y^6[/tex].
What is product?
One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication. A product is the output of a multiplication operation.
A product is something that has undergone one or more multiplications. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.
Consider the given,
[tex]\sqrt{y^3} *\sqrt{y^3}[/tex]
We have to find the product of these numbers.
Since, the product of square root numbers
[tex]\sqrt{a} *\sqrt{b} = ab[/tex]
⇒ [tex]\sqrt{y^3}*\sqrt{y^3}= y^3*y^3[/tex]
Using the exponent rule,
[tex]a^b*a^c = a^b^+^c[/tex]
⇒ [tex]y^3*y^3 = y^3^+^3 = y^6[/tex]
Hence, the product of the given polynomial is, [tex]y^6[/tex].
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HELP HELP ASAP. NEED IT. PLS ANSWER QUESTION. tiah buys a 96- ounce bag of dog food. she feeds her dog 6 ounces of food each day. the function d describes the number of ounces of dog food d(x) remaining in the bag x days after Tiah opens the bag. What is an inequality that completes the description of the domain?
The inequality that models the domain of the linear function d(x)= 96 - 6*x is:
0 ≤ x ≤16
What inequality defines the domain?Here we know that Tiah buys a 96-ounce bag of dog food, and she gives the dog 6 ounces per day.
Then the amount of food remaining after x days is modeled by the linear equation:
d(x)= 96 - 6*x
The domain starts at x ≥ 0, now we need to find the upper bound, to do that, we need to find the value of x such that the remaining dog food is 0, so we need to solve:
d(x) = 0 = 96 - 6*x
6x = 96
x = 96/6 = 16
So the maximum value that x can take is x = 16, then the ineqeuality that defines the domain of d(x) is:
0 ≤ x ≤16
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If a and b are any real numbers such that 0 < a < 1 < b, which of the following must be true of the value of ab ?
O. 0 < ab < a
O. 0 < ab < 1
O. a < ab < 1
O a < ab < b
O. b < ab
Therefore , the solution of the given problem comes out to be that one statement is true other than else are false.
What is inequality?In mathematics, inequalities describe the connection between two variables that are not equal. Equal implies to be equal, not. The "not equal symbol ()" is typically used to indicate that two values are not equaivalent. But different inequalities are used to compare the data to see if one is more or less than the other.
Here,
0 < a<1<b
Multiply all terms by b since b>1
0 < ab < b < [tex]b^{2}[/tex]
Since
b > 1 , then ab > a so then ,
0 < a<ab < b < [tex]b^{2}[/tex]
Given that,
F. 0< ab<a, Never true
G. 0< ab<1, Not always true
H. a< ab<1, Not always true
J. a< ab<b, True
K. b< ab, Never true
Therefore , the solution of the given problem comes out to be that one statement is true other than else are false.
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write an equation in slope-intercept form for the line that passes through (9,12) and is parallel to y=4
An equation in slope-intercept form for the line that passes through (9,12) and is parallel to y=4 is y= 4x -24.
What is Parallel lines?
Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.
Parallel lines will have the same slope but different y-intercepts so again we can use the coordinates to determine the y intercept of the new equation.
So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.
12 = 4(9) + b
12 = 36 + b
b = -24
The equation will be y= 4x -24.
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