Hi, how did they get -500? And what do I do for the A part because i know it’s not to solve it since that’s what you do in B so I’m a bit confused please help. Thank you
Answers
Answer:
Explainations to part A is written below.
Part B : x = 25 is the solution as length cannot be negative.
Step-by-step explanation:
Hey there, it's pretty simple!
The formula for the volume of a cube is
Volume = Length × Width × Height.
Let's assume length = x, height = 2x - 30, and width as 10
also note that volume is 5000, plugging this into the equation, we get
(x)(10)(2x - 30) = 5000
10x (2x-30) = 5000
x(2x-30) = 500
(this is how they got 500 and hence the -500 when we shift this to another side to create a quadratic equation).
2x^2 - 30x = 500
2x^2 - 30x - 500 = 0
Part b)
Factoring 2(x^2 - 15x - 250) = 0, we get
2 (−25) (+10)
tadah!
Related Questions
how to find the measuremnt of an unknown side of a triangle
Answers
Answer:
Can you provide a screenshot or elaborate more on your question please?
Step-by-step explanation:
1QR = 18, QP = 36, RP = X
find x. sorry ignore the writing above the triangle.
Answers
324 + b^2 = 1296
b^2= 972
b= 31.18
RP= 31.18
if -5,3 and 5,3 are two vertices of an equilateral triangle, then find the coordinates of the third vertex, given that orgin lies inside the triangle (Take √3 = 1.7)
Answers
Therefore, The Coordinates of the THIRD VERTEX is: ( 5, -3 )
Step-by-step explanation:Calculate the midpoint of the given vertices:
MidPoint = ( -5 + 5/2, 3 + 3/2 )
MidPoint = ( 0, 3 )
Calculate the distance between the given vertices:Distance = √( -5 -5 )^2 + ( 3 - 3 )^2
Distance = √( -10 )^2 + (0)^2
Distance = √100
Distance = 10
Calculate the side length of the equilateral triangle:Side Length = 10/√3
Side Length = 10/1.7
Side Length = 5.88
Calculate the height of the Third Vertex:Height = √3/2 * Side Length
Height = 1.7/2 * 5.88
Height = 5
Calculate the Coordinates of the Third Vertex:Since the origin lies inside the triangle, The Third Vertex will have a Positive X-Coordinate and a Negative Y-Coordinate.
Now, Let the Third Vertex Be:( x, y )
Using the MidPoint Formula now we have:x = -5 + x/2
y = 3 + y/2
Solve for X and Y, we now get:x = 5
y = -3
Draw a conclusion:Hence, The Coordinate of the Third Vertex is: ( 5, -3 )
I hope this helps!
A die has 6 faces numbered 1 to 6.On a single roll of die,find the probability of not getting the number 6
Answers
Step-by-step explanation:
probability of not getting six=5/6
is your answer
to use a binomial distribution to approximate the count of successes in an srs, why do we check that the population size be at least 10 times the sample size?
Answers
As per the binomial distribution, the population size be at least 10 times the sample size is N
The term binomial distribution in math is defined as a probability distribution used in statistics that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions
Here we have given that we have to use a binomial distribution to approximate the count of successes in an SRS.
Here we know that if the 10 % condition is met, then a binomial distribution can be used to approximate the number of successes in a simple random sample.
Here we have also know that the 10% condition requires that the sample represents less than 10% of the population.
On the other hand the fact that the sample size is far too tiny in comparison to the population, then here it is reasonable to infer that the trials of occurrences are independent.
Therefore, the given situation suggests that the sample size n must be smaller than 10% of the population size N in this situation.
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Write the quotient of nine and five less than four times a number as an algebraic expression.
Answers
Answer:
\(\frac{9}{5}<4n\)Explanation:
First, we write the quotient of nine and five.
\(\text{The Quotient of 9 and 5}=\frac{9}{5}\)Let the number be n.
• Four times a number = 4n.
Therefore, we have the algebraic expression:
\(\frac{9}{5}<4n\)Find 310% of 150. a number blank
Answers
Answer:
465
Step-by-step explanation:
Of means multiply
310% * 150
Change to decimal form
3.10 * 150
465
Answer:
465
Step-by-step explanation:
1 percent of 150 is 1.5.
Multiply 1.5 by 310 to 465
A carpenter wants to cut a board that is five sixth ft long into pieces that are five sixteenths ft long. The carpenter will use the expression shown to calculate the number of pieces that can be cut from the board. five sixth divided by five sixteenths. Which expression can also be used to calculate the number of pieces that can be cut from the board?
Answers
Answer:
N = L/P
8/3 pieces
Step-by-step explanation:
Length of the board = 5/6 ft
A carpenter wants to cut a board that is five sixth ft long into pieces that are five sixteenths ft long.
Length of each piece = 5/16 ft
Number of pieces that can be cut from the board = Total length of board / length of each piece
Let
N = Number of pieces that can be cut from the board
L = Total length of board
P = length of each piece
N = L / P
= 5/6 ÷ 5/16
= 5 / 6 × 16 / 5
= 80 / 30
= 8/3
The number of pieces that can be cut from the board is 8/3
For this linear regression model, r2= 0.90. What does this mean?
A) The maximum long jump was around 90 inches.
B) Each year the winning long jump distance increased by 90%.
C) 90% of the variation in long jump distances is explained by the regression line.
D) The data ends around 1990
C) 90% of the variation in long jump distances is explained by the regression line.
(The number r2 gives the proportion of the variation in the long jump explained by the change in years.)
Answers
The given linear regression model means that 90% of the variation in long jump distances is explained by the regression line. (Option C)
Linear regression refers to a basic and commonly used form of predictive analysis. It is used to determine the relationship between two quantitative variables. It is used to determine the strength of the relationship between two variables and the value of the dependent variable at a certain value of the independent variable. Regression models describe the relationship between variables by fitting a line to the observed data. Linear regression models use a straight line, while logistic and nonlinear regression models use a curved line. The regression model illustrates how a dependent variable changes as the independent variable(s) change. The given linear regression model r2= 0.90, where r2 gives the proportion of the variation in the long jump explained by the change in years, the model means that 90% of the variation in long jump distances is explained by the regression line.
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Describe how to transform the graph of f(x) = ⎜x⎟ to obtain the graph of the related function g(x). Then draw the graph of g.
Answers
Answer:
ssss
Step-by-step explanation:
dddd
A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?
Answers
After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.
A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.
To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:
$98.48 / 6 = $16.41
Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.
It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.
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A 9 foot ladder is leaning against a wall. The distance from the base of the ladder to the base of the wall is 3.5 feet. If you were to lean a 11 foot ladder against the wall at the same angle from the ground, what will be the distance between the base of the ladder and the base of the wall? Round to the nearest hundredth.
Answers
The distance between the base of the 11-foot ladder and the base of the wall, rounded to the nearest hundredth, is approximately 4.28 feet.
We can use the idea of right triangles that are similar to each other to solve this issue. In similar triangles, the lengths of the sides that are corresponding to each other are equal.
Let's say that there is a distance of "x" feet between the base of the wall and the base of the 11-foot ladder.
Regarding the 9-foot ladder:
The hypotenuse measurement of the ladder is 9 feet, and the adjacent side measurement of the distance is 3.5 feet. For the 11-foot ladder:
The length of the stepping stool (hypotenuse) = 11 feet
The separation from the foundation of the stepping stool to the foundation of the wall (neighboring side) = 'x' feet
Utilizing the proportion of comparing sides of comparative triangles, we can set up the accompanying extent:
9 / 3.5 = 11 / x We can cross-multiply to solve for "x":
9x = 3.5 * 11 9x = 38.5 Now divide by 9 on both sides:
x = 38.5 / 9 x 4.28 indicates that the 11-foot ladder's base is approximately 4.28 feet away from the wall's base, rounded to the nearest hundredth.
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subtract.
1.)5-9
2.)7-13
3.)-5-4
4.)-7-9
5.)3-(-7)
6.)8-(-4)
7.)-9-(-5)
8.)-5-(-7)
9.)9-(-5)
10.)17-12
11.)2-7
12.)-9-3
13.)-6-(-9)
14.)8-(-5)
15.)-3-10
16.)-21-(-5)
17.)19-32
18).25-7
19.)-18-(-19)
20.)43-(-15)
21.)28-41
22.)-32-15
23.)-11-(-42)
24.)-53-24
25.)42-(-9)
26.)83-105
27.)-15-29
28.)-5-(-41)
29.)18-75
30.)-18-75
Answers
Answer:
5-9=4 bc you take away 5 from 9
syreeta wants to buy some cds that each cost $14 and a dvd that costs $23. she has $65. write the equation
Answers
The equation to represent Syreeta's situation can be written as 14x + 23 = 65, where x represents the number of CDs she wants to buy. This equation shows that the total cost of CDs and the DVD must equal $65.
To represent Syreeta's situation, we need to use an equation that relates the cost of the CDs and DVD to her total budget. We know that each CD costs $14, so the total cost of x CDs can be written as 14x. We also know that she wants to buy a DVD that costs $23. Therefore, the total cost of the CDs and the DVD can be written as 14x + 23. This expression must equal her budget of $65, so we can write the equation as 14x + 23 = 65.
To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 23 from both sides to get 14x = 42. Then, we divide both sides by 14 to find that x = 3. This means that Syreeta can buy 3 CDs and 1 DVD with her $65 budget.
In conclusion, the equation to represent Syreeta's situation is 14x + 23 = 65. By solving for x, we find that she can buy 3 CDs and 1 DVD with her $65 budget. This equation can be used to solve similar problems where the total cost of multiple items needs to be calculated.
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AD and BC are equal perpendiculars to a line segment AB [see fig 7.18] Show that CD bisects AB.
Answers
Answer:
because a=b and c=d so bisect
Which of these terms does not describe polygon A’B’C’D?
A. Rotation
B. Transformation
C. Reflection
D. Image
Answers
I WILL GIVE YOU 100 POINTS. PLEASE HELP ME
To conserve water, many communities have developed water restrictions. The water utility charges a fee of $29, plus an additional $1.41 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $54 and $82 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.)
A 54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 37.6 HCF.
B 54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 58.2 HCF.
C 54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be between 38.2 and 78.7 HCF.
D 54 ≤ 1.41x − 29 ≤ 82; To stay within the range, the usage should be between 58.9 and 78.7 HCF.
Answers
Judiyah is the proud new owner of a chair making business. She makes custom wood chairs. She sells her custom chairs for
$150. The cost of rent and the expensive saws and equipment she bought add up to about $50 a chair. The wood she uses is
standard wood and the materials to make one chair cost about $30. She pays one worker to help her move the chairs into people's
home. Everytime she sells a chair, she pays this worker
$10 for the hour of work to transport the homemade chair.
What is judiyah’s cost of production ?
Answers
50 for rent and equipment, 30 for wood and materials, 10 for delivery
50 + 30 + 10 = $90
(PLEASEEE HELP I DONT UNDERSTAND) Which of the following equations represents a linear NON-proportional function?
A) y=3x+0
B) y=x/4
C) y=7x
D) y=2/5x+7
Answers
A nonproportional relationship is a linear line that doesn’t go through the origin.
y=3x+0 does go through the origin because the y-intercept (the b) is 0
Y=x/4 also has a y-intercept of 0
Y=7x also has a y-intercept of 0.
y=2/5x+7 does not go through the origin because the line passes the y-axis at (0,7) which is the y-intercept.
Jennifer made these measurements on ABC,BC must be-?
Answers
Answer:
between 10 and 12
Step-by-step explanation:
Given the measure of angles:
m∠B = 70°
m∠C = 60°
m∠A = 50°
We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.Following this information, since the side lengths are directly proportional to the angle measure they see:
Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.
Angle C is the smallest angle, so the side AB is the shortest side.
Therefore, side BC must be between 10 and 12 inches.
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)
Answers
Answer:
The last option is correct
The cylinder below has a curved surface area of 352 m² and a length of 16 m. Work out the total surface area of the cylinder. Give your answer to 3 s.f?
Answers
The total surface area of the cylinder in question is 428.93 m².
How are the parameters of a cylinder determined?
A cylinder is a three-dimensional solid with a parallel circular base and top. The overall height of the cylinder is the perpendicular distance between the top and base.
The area with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area.
Total Surface Area is the combined area of the bases and the curved surface.
Mathematically, curved surface area = 2πrh, where r = radius, h = height of cylinder;
Total surface area = 2πrh + 2πr², where r = radius, h = height of cylinder.
Given, the curved surface area of the cylinder = 352 m²
Height of the cylinder = h = 16 m
Using the formula established above, we have 2πrh = 352 --(i)
Substituting other values in (i), we get 2*3.14*r*16 = 352 ⇒ r = 3.50 m
Again, total surface area of cylinder = 2πrh + 2πr²
Substituting all values, we get TSA = (2*3.14*3.50*16) + (2*3.14*3.50²)
= 428.93 m²
Thus, the total surface area of the cylinder in question is 428.93 m².
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Which best describes the required locus? all points in a plane equidistant from two given points in the plane.
A. two circles with the same radius, one around each point
B. a line on either side of the line through the points, both parallel to the line through the points and equally distant from it
C. the line that is a perpendicular bisector of the segment connecting the two points
D. the line that has the given points as endpoints
Answers
Answer:
C.
Step-by-step explanation:
The line that is a perpendicular bisector of the segment connecting the two points.
Answer:
C. The line that is a perpendicular bisector of the segment connecting the two points
Step-by-step explanation:
I took the test and got it right.
The only coins that Alexander has are nickels and pennies. His coins have a total value of 1.87 and he has a total of 67 coins. Which system of equations can be used to find the number of nickels, n, and number of pennies, p, Alexander has?
Answers
The solution to the system of equations are solved
a) n + p = 67
b) 0.05n + 0.01p = 1.87
Given data ,
Let n be the number of nickels and p be the number of pennies that Alexander has. Then we have the following system of equations:
n + p = 67 (1)
0.05n + 0.01p = 1.87 (2)
From the first equation, we know that n + p = 67. Solving this equation for p, we get:
p = 67 - n
Now we can substitute this expression for p into the second equation:
0.05n + 0.01p = 1.87
0.05n + 0.01(67 - n) = 1.87
Simplifying this equation:
0.05n + 0.67 - 0.01n = 1.87
0.04n + 0.67 = 1.87
0.04n = 1.2
n = 30
Now we can use the first equation to find p:
p = 67 - n
p = 67 - 30
p = 37
Hence , the solution to the system of equations is n = 30 and p = 37
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28
Write
9
as a mixed number.
Answers
Answer:
3 1/9
Step-by-step explanation:
when taking a fraction and making it a mixed number, you divide the numerator by the denominator. whatever you have left after dividing is your numerator, and denominator stays the same. hope this helps!
Determine the perimeter of a triangle whose lengths are 4x + 3,5x - 2 and 3-x.
Answers
Answer:
8x + 1
Step-by-step explanation:
the perimeter is the sum of the 3 sides , that is
4x + 3 + 5x - 2 + 3 - x ← collect like terms
= 4x + 5x - x - 2 + 3
= 8x + 1 ← perimeter
Answer:
in case you don't understand feel free to ask.
Which decimals written in expanded form are greater than 5.3? Check all that apply. 5 + 0.3 + 0.00 5 + 0.3 + 0.001 (5 × 1) + (2 × 0.1) + (9 × 0.01) (5 × 1) + (3 × 0.1) + (3 × 0.01) (6 × 1) + (2 × 0.1) + (1 × 0.01)
Answers
Answer:
Any number in form of x.y = x (1) + 1/10 (y)
where x = 5 & y > 3 , or x > 5
Step-by-step explanation:
Expanded form of 5.3 = 5 (1) + 3 (1/10)
Some decimals written in expanded form that are greater than 5.3 :
5 (1) + 4 (1/10) = 5.4
6 (1) + 2 (1/10) = 6.2
If z = 13 – 7i, what is the value of |z|? a. 6 b. 2StartRoot 30 EndRoot c. StartRoot 218 EndRoot d. 20
Answers
Option c) is the correct answer of the expression, the solution is (c) \(\sqrt{ 218 }\).
How can we solve this expression?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator
A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases.
The absolute value (or modulus) of a complex number z = a + bi is defined as the distance between the origin and the complex plane point (a, b). It is possible to compute it as follows:
\(\sqrt{a^2+b^2}\) = |z|
In this situation, z = 13 - 7i, which means that a = 13 and b = -7. Therefore,
|z| = \(\sqrt{132=(-7)2} = \sqrt{169+49} =\sqrt{218}\)
As a result, the solution is (c) StartRoot 218 EndRoot.
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Find the range of the function y = 3x - 2, where x > 5.
Answers
Answer: at the point (5,13).
Step-by-step explanation:
Please explain this to me.
Answers
Answer:
The value of x is 12 units.Step-by-step explanation:
We know that:
Formula: h² = a² + b²Let's solve using Pythagoras theorem.
=> 13² = 5² + x²=> 169 = 25 + x²=> 169 - 25 = x²=> 144 = x²=> √x² = √144=> x = √144=> x = 12Hence, the value of x is 12 units.