Answer:
15y^2=15y^3
y^2=y^3
dividing both side by y^2
y=1
Step-by-step explanation:
Which of the following can be used to represent the complement of event X?
2nd X..
I hope that this is correct
If a polygon is a square, then it is a quadrilateral. What is the converse of this conditional statement?
Answer:
Converse: If the polygon is a quadrilateral, then the polygon has only four sides. Try this one, too: "If the quadrilateral has four congruent sides and angles, then the quadrilateral is a square." Converse: If the quadrilateral is a square, then the quadrilateral has four congruent sides and angles.
Step-by-step explanation:
Combining the statement will give if a polygon is NOT a square, then it is NOT a quadrilateral.
The converse of a statementConverse are opposite words of a given statement
Given the statement
If a polygon is a square, then it is a quadrilateralIf a polygon is a square, can be If a polygon is NOT a squareIt is a quadrilateral converse will be, it is not a quadrilateral
Combining the statement will give if a polygon is NOT a square, then it is NOT a quadrilateral.
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I need help.... Could someone please help me
furthering dendritic untiring s very crushed iridium rushes Rivendell ft Zarathustra
Solve | x - 6 | = 8
A: x = 14 and x = -14
B: x = 14 and x = -2
C: x = -14 and x = -2
D: x = -14 and x = 2
Answer:
B
Step-by-step explanation:
Answer:
x=-2 or x=14
Step-by-step explanation:
since it's absolute value, this actually has two equations:
x-6=8
and
x-6=-8
we solve x-6=8 by adding 6 to both sides which equals x=14
we solve x-6=-8 by also adding 6 to both sides which equals x= -8+6= -2
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Hector is buying books at a bookstore.
*He buys 2 used books and 1 new book for $26.
*The new book costs $18.
If each used book cost the same amount, what is the price of each used book?
Answer:
if they both cost $26 then $52 if they both coast $18 then $36
Step-by-step explanation:
Answer:
(total price - price of 1 new book)÷number of used books
($26-$18)/2=4
Step-by-step explanation: sssniperwolf
Graph the solution set of the inequality and write the solution using interval notation.
Solution:
Consider the following inequality:
\(-4<\frac{3x-2}{5}\leq6\)this is equivalent to:
\((-4)(5)<3x-2\leq(6)(5)\)this is equivalent to:
\(-20<3x-2\leq30\)solving for 3x, this is equivalent to:
\(-20+2<3x\leq30+2\)this is equivalent to:
\(-18<3x\leq32\)solving for x, we get:
\(-\frac{18}{3}this is equivalent to:\(-6in interval notation, this is equivalent to:
\((-6,\frac{32}{3}\rbrack\)the solution set on the real line is:
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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3. The company charges $85 for each 16-pound bowling ball. Over the past several months, the company sold 100,000 bowling balls. How much did the company earn for these sales? ______ X 100,000 = 85 X _______=_______. The company earned $__________.
Answer:
85 X 100,000 = 85X
85x = 8500000.
The company earned $8,500,000
Step-by-step explanation:
Sheila wants to lose weight for an upcoming wedding. She currently weighs 186 pounds and her goal is to weigh 140 pounds. After consulting with her doctor, she feels she can safely lose 2 pounds per week. Write an equation for the weight loss trend. Use W = weight (lb) and t = time (weeks).
Answer:
w=186-2t
Step-by-step explanation:
you can solve this too
just do w=186
Hurry plzz!!!! The Raptors have lost 5 out of their last 11 games. They have not had any ties or forfeits. What is the ratio of wins to losses for the Raptors?
5:6
6:5
5:11
11:5
Answer:
6:5
Step-by-step explanation:
Identify the explanatory variable and the response variableA golfer wants to determine if the amount of practice every year can be used to predict the amount of improvement in his game.The explanatory variable is the _____The response variable is the _____
Answer:
the explanatory variable is "the amount of practice every year" while the response variable is "the improvement in his game"
Step-by-step explanation:
In simple terms, the difference between explanatory and random variable is that the response variable is usually the focus of a question in a study/experiment while an explanatory variable is a variable that explains changes in the response variable. Which means that the explanatory variable is simply any variable that may affect the response variable.
Now, in this question, the golfer wants to determine if the amount of practice every year can be used to predict the amount of improvement in his game.
This means that the amount of practice every year explains how much he improves every year.
Thus, the explanatory variable is "the amount of practice every year" while the response variable is "improvement in his game"
PLEASE ANSWERING THIS QUESTION!!!
The volume of a cone with height h and a radius r can be found using the formula \(\sf{V=\dfrac{1}{3}\pi r^2h\)
Find the volume of a cone with radius 5 feet and height 4 feet.
(Blank) ft^3
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
Answer:
104.8cm³(1 decimal place)
Step-by-step explanation:
Volume of a cone is given by the formula
V=1/3πr²h
we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7
V=1/3× 22/7×5²×4
V=1/3 × 22/7 ×25 ×4
V=2200/21
V=104.76190476
V=104.8cm³(1decimal place)
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Write an integer for deposit of $100
Write an integer for deposit of $100:
-$100
Find the value of X.
Answer:
Step-by-step explanation:
2x×1=(√3)²
2x=3
x=3/2
Anybody can tell me How to solve |8|+|-6|?
Translate the phrase into an algebraic expression.
8 less than x
Answer:
8-x is the expression for the question
Can someone pleasee help and answer these 4 questions for me I already tried so many times trying to figure it out and the due date is this Sunday. Thank you
1. In parallelogram HJKL if HM=12 find HK.
2. Given parallelogram UVWX below, VY = 80. If Y X = 6x + 2, solve for x.
3. Given parallelogram OPQR below,
RS = 65. If SP =- 2x - 7, solve for x.
4. In parallelogram ABCD if m/CDA = 120° find m/ABC.
Answer:
1. HK = 24
2. x = 13
3. x = -26
4. ∠ABC = 120°
Step-by-step explanation:
(1) In all parallelograms, the diagonals bisect each other, or split each other into two congruent (same) halves.
We are given parallelogram HJKL. Its diagonals are HK and JL, because they both are segments that connect two opposite vertexes.
This means that HK and JL are bisected.
Thus, HM is half of HK.
Let's make an equation to represent this situation and solve for HK.
\(HM = \frac{1}{2}HK\)
⇒ \(12 = \frac{1}{2}HK\) . . . . . . substitute known values
⇒ \(12(2) = \frac{1}{2}HK(2)\) . . . . . . multiply the LHS and RHS by 2 to isolate HK
⇒ ∴ \(24 = HK\) . . . . . . compute
(2) This problem is similar to #1, so we can use the same concepts as #1.
However, we are given an expression instead of integers.
The only thing that's different about this problem is that we need to solve for x, not a diagonal or part of a diagonal.
VX and UW are the diagonals of parallelogram UVWX.
Thus, VX and UW are bisected.
Thus, the VY and YX are the same length, because they are split in half.
Let's make an equation to represent this situation and solve for x.
\(VY = YX\)
⇒ \(80 = 6x + 2\) . . . . . . substitute the known values
⇒ \(78 = 6x\) . . . . . . . . . subtract 2 from the LHS and RHS
⇒ ∴\(13 = x\) . . . . . . . . . divide both sides by 6 to isolate x
(3) This problem uses the exact same concepts and steps as #2.
Thus, RS and SP are the same length.
Let's make an equation to represent this situation and solve for x.
\(RS = SP\)
⇒ \(65 = -2x - 7\) . . . . . . . . substitute the known values
⇒ \(72 = -2x\) . . . . . . . . . . . add 7 to the LHS and RHS
⇒ ∴\(-36 = x\) . . . . . . . . . . . divide both sides by -2 to isolate x
(4) In a parallelogram, the opposite angles are congruent (the same).
In parallelogram ABCD, we are given ∠CDA and asked to solve for ∠ABC.
∠ABC and ∠CDA are opposite angles.
∠CDA = 120°
∠ABC = ∠CDA
∴ ∠ABC = 120°
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The parallelogram HJKL is handed to us. The segments HK and JL, which both link two vertexes that are in opposition to one another, serve as its diagonals, triangle HK = 24; x = 13; x = -26; ∠ABC = 120°
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
All parallelograms have diagonals that cut them in half or divide them into two congruent (same) halves.
HK = 24, x = 13, x = -26, and ABC = 120 degrees.
The parallelogram HJKL is handed to us. The segments HK and JL, which both link two vertexes that are in opposition to one another, serve as its diagonals.
As a result, HK and JL are divided. HM therefore makes up half of HK.
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pls simplify these two problems:
Answer:
Step-by-step explanation:
1 )
\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)
2 )
\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)
If i start with3 1/8 yards of material and use 1 1/2 yards how many yards do i have left?
The amount of yards that is left of one starts with 3 1/8 yards of materials and uses 1 1/2 yards is; 1 5/8.
Fractions subtractionIt follows from the task content that the number of yards remaining when one starts with 3 1/8 yards of materials and uses 1 1/2 yards is to be determined.
Therefore, first the two mixed numbers must be converted to fractions as follows;
3 1/8 = 25/8
1 1/2 = 3/2
Consequently, the number of yards remaining if one starts with 3 1/8 yards of materials and uses 1 1/2 yards is;
(25/8) - (3/2)
= (25/8) - (12/8)
= 13/8
= 1 5/8.
Therefore, only 1 5/8 yards is left.
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An object is thrown from one meter above the ground. Its height (in meters) above the ground at time t (in seconds) is given by the equation h(t) =120+-167 + 1.
How long will it take for the object to reach a height of 191 meters
what is the LCM of 24,16,8
Answer:
LCM is 48.
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Oreos are the most popular cookie at my house. My family buys two types of cookies: oreos and Snickerdoodles. Each comes in a box of 20. Oreos run out twice as fast as Snickerdoodles. Because my family eats twice as many Oreas than Snickerdoodles, I know that Oreas are the most popular cookie.
Identify the claim, evidence, and reasoning (CER model)
Answer:
The claim is " oreos are the most popular cookie at my house". The evidence is because you said that " oreos run out twice as fast as snickerdoodles." The reasoning is because my family eats twice as many oreos than snickerdoodles.
which of these relations are functions?
Answer:
the fourth box (parabola)
Step-by-step explanation:
yeah
ΔABC has side lengths of 4 and 13. What is the range of possible lengths for the third side of ΔABC?
Answer:
The third side must be greater than 9 and less than 17.
9 < x < 17
Step-by-step explanation:
The Triangle Inequality Theorem says that if you know two sides of a triangle, and you subtract them and you add them (get two separate numbers), the third side will be in between those numbers. So if you have 4 and 13 as the two sides.
13 - 4 is 9. The third side has to be bigger than 9.
Then, 13 + 4 is 17. The third side has to be smaller than 17.
9 < x < 17
Angelo used a radar gun to take a sample of the speeds of cars on the road in front of his house. The results are below.
{57,53,53,71,73,57,61,58,78,64,54,69,56,58,49,56,53,52,82,62,61,60,71,75,60}
Use the results of Angelo's sample to draw the following graphs by hand:
A stem-and-leaf plot,
A histogram with 5 classes,
A box plot.
Be sure your graph is neat by using a straight edge for all lines.
Use a ruler for even spacing on the axes.
Don't forget to include a title and axis labels.
Scan or take a picture of your work. You will upload your graphs in the next question.
Answer:
Step-by-step explanation:
What would happen to the variance of a data set if we multiplied every observation by S?
Find the value of x.
Step-by-step explanation:
hope this will help you plz check and tell me
can someone help me on number 4
Answer:
\(P = 48 in\),\(A= 120in^2\)
Step-by-step explanation:
Again we can use Pythagorean theorem to find the missing side
x^2 + 15^2 = 17^2
x^2 + 225 = 289
Subtract 225 from both sides
x^2 = 64
Find the square root of both sides
√x^2 = √64
x = 8
So
l = 15in, w = 8in
P=2(15) + 2(8)
P = 30 + 18
P = 48 in
A= 15(8)
A= 120in^2
The table below shows the February balance of a simple interest savings account each year from 2015 to 2021 (7)
Do the balances form an arithmetic or geometric sequence?
What is the d or the r?
Write a formula for the balance in the account n years after February 2015.
Find the sum of the February balances from 2015 to 2032, inclusive.
As the difference between consecutive terms is the same, the balances form an arithmetic sequence, and:
The common difference is d = 2018.The formula for the balance is: \(a_n = 12000 + 2018(n - 1)\)The sum of the balances from 2015 to 2032 is of 478,488.What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
\(a_n = a_1 + (n - 1)d\)
In which \(a_1\) is the first term.
The sum of the first n terms is given by:
\(S_n = \frac{n(a_1 + a_n)}{2}\)
From the table, the first term and the common difference are given as follows:
\(a_1 = 12000, d = 2018\)
Hence the formula for the balance in the account n years after February 2015 is:
\(a_n = 12000 + 2018(n - 1)\)
2032 is 17 years after 2015, hence:
\(a_{17} = 12000 + 2018(17 - 1) = 44288\)
The sum is given by:
\(S_{17} = \frac{17(12000 + 44288)}{2} = 478,488\)
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Find the mass of the two-dimensional object. An oversized hockey puck of radius 2 in with a density function of p(x) = x^3 – 5x + 7.
With a density function of p(x) = x³ - 5x + 7, the mass of the larger hockey puck is roughly 13.43. units.
To find the mass of the oversized hockey puck, we need to integrate the density function over the area of the object. Since the object is a disk with radius 2, we can integrate over a circle of radius 2 using polar coordinates.
The area element in polar coordinates is r dr dθ, so we can express the mass M of the object as:
M = ∫∫ p(x) dA
where dA = r dr dθ is the area element in polar coordinates.
To evaluate this integral, we need to express the density function p(x) in polar coordinates. Since x = r cosθ, we can substitute x = r cosθ into the expression for p(x) to get:
p(x) = (r cosθ)³ - 5(r cosθ) + 7
Simplifying this expression, we get:
p(r,θ) = r³ cos³θ - 5r cosθ + 7
Now we can integrate this expression over the circle of radius 2:
M = ∫∫ p(r,θ) r dr dθ, where r ranges from 0 to 2, and θ ranges from 0 to 2π.
Using polar coordinates, we can express the double integral as:
M = ∫0² ∫0²π r⁴ cos³θ - 5r²cosθ + 7r dr dθ
Solving this integral using standard techniques, we get:
M = (32π/5) - (20/3)
M = (32π/5) - (20/3)
M ≈ (32*3.14159/5) - (20/3)
M ≈ 20.106 - 6.667
M ≈ 13.439
Therefore, the mass of the oversized hockey puck with density function p(x) = x³ – 5x + 7 is approximately 13.43.
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