Answer:
I think the percent of change would be 850000%,
Step-by-step explanation:
You would do 111,000 - 102,500 to find the amount of leftover money. This equals 8,500, which would be 850000% in percentages.
Find the value of x that makes m||n
Using alternating and corresponding angle theorems, the values of x are 11, 4, -4 and 10 respectively
Alternating and Corresponding Angle TheoremAlternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.
1)
9x + 8 = 107 (alternating angles are equal)
9x + 8 = 107
9x = 107 - 8
9x = 99
x = 11
2)
20x = 80 (alternating angles are equal)
20x = 80
x = 4
3)
x + 84 = 80 (corresponding angles are equal)
x = 80 - 84
x = -4
4) 120 + 6x = 180
This is gotten from applying alternating angle theorem and angle on a straight line theorem
120 + 6x = 180
6x = 180 - 120
6x = 60
x = 10
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If you enter into an annual contract but decide to leave after 5 months, how much do your parents lose by not doing the month-to-month contract?
By choosing the annual contract and breaking it after 5 months, your parents would lose $574.00.
How much do your parents lose by not doing the contract?If you enter into an annual contract at $467.00/month and break it after 5 months, you would have paid:
= $467.00 x 5
= $2,335.00
Since breaking the annual contract incurs a penalty of 2 months' rent, your parents would need to pay an additional of:
= $467.00 x 2
= $934.00
If parents opted for the month-to-month contract at $539.00/month, the total cost for 5 months would be:
= $539.00 * 5 month
= $2,695.00.
So, by choosing the annual contract and breaking it after 5 months, your parents would lose:
= $3,269.00 - $2,695.00
= $574.00.
Full question "Your parents are considering renting you an apartment instead of paying room and board at your college. The month-to-month contract is $539.00/month and the annual contract is $467.00/month. If you break the annual contract, there is a 2-month penalty. If you enter into an annual contract but decide to leave after 5 months, how much do your parents lose by not doing the month-to-month contract."
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PLEASE HELP ME!! Whoever answers best is the brainlest! And, please show your work. Thank you! What is the value of the expression 9 − (1/2) ^4 ⋅ 48? (A)1 (B)3 (C)6 (D)9
Answer:
C. 6
Step-by-step explanation:
Use Order of Operations BPEMDAS to help you solve:
9 - 1/16(48)
9 - 3
6
A trough is 8 ft long and its ends have the shape of isosceles triangles that are 2 ft across at the top and have a height of 1 ft. If the trough is filled with water at a rate of 11 ft3/min, how fast (in ft/min) is the water level rising when the water is 4 inches deep
We are given that a trough is 8 ft long and has ends with the shape of isosceles triangles that are 2 ft across at the top and have a height of 1 ft. The trough is being filled with water at a rate of 11 ft³/min. We need to find out how fast the water level is rising when the water is 4 inches deep.
Let's first convert the depth of water from inches to feet.
1 inch = 1/12 ft
So, 4 inches = 4/12 ft = 1/3 ft
The volume of water in the trough is given by the formula:
V = lwh
where,
l = length of the trough = 8 ft
w = width of the trough (top width of the isosceles triangle) = 2 ft
h = depth of the water
We know that the height of the isosceles triangle is 1 ft. So, the height of the water is also h = 1 - 1/3 = 2/3 ft.
Substituting the values in the formula, we get:
V = 8 * 2 * (2/3)
V = 10.67 ft³
Now, we differentiate both sides of the formula with respect to time to get the rate of change of volume of water with respect to time.
dV/dt = l(dh/dt)w
We are given that the water is being filled at a rate of 11 ft³/min.
So, dV/dt = 11 ft³/min
l = 8 ft
w = 2 ft
Substituting the values, we get:
11 = 8 * (dh/dt) * 2
dh/dt = 11 / (8*2)
dh/dt = 0.6875 ft/min (approx)
Therefore, the water level is rising at a rate of 0.6875 ft/min when the water is 4 inches deep.
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Solve the system of equations -3x - 3y =18 and -4x - y = 0
Answer:
Point Form:
(2,−8)
Equation Form:
x=2 , y=−8
Step-by-step explanation:
Answer:
x=2
y=-8
Step-by-step explanation:
you could calculate it by rearranging and manipulating the equations, but this time I graphed it with desmos as two lines with an intersection
ok, im failing math rn so plz help
Answer:
-3/4
Step-by-step explanation:
Point A is at (-4,3) and Point B is at (4,-3)
The slope is at
m = (y2-y1)/(x2-x1)
= (-3 -3)/(4 - -4)
= (-3-3)/(4+4)
= -6/8
= -3/4
A store sells two different packages of soda as described below. (Standard 6.EE.9) Package A: 18 soda Package B: 10 soda Write an equation for Package A and an equation for Package B that represent the total number of sodas, g, in p packages.
Answer:
\(g = 18p\) --- A
\(g = 10p\) ---- B
Step-by-step explanation:
Given
\(Package\ A: 18\ soda\)
\(Package\ B: 10\ soda\)
Required
The equation of both packages
The given details represent the number of sodas in each package.
So, the equation of A is:
\(g = 18p\)
And the equation of B is:
\(g = 10p\)
The sixth-graders at Janelle's school got to visit either the science museum or the history museum.
1 student picked the science museum and 44 students picked the history museum. What is the
ratio of the number of sixth-graders who visited the history museum to the number of sixth-
graders who visited the science museum?
Write your answer as two numbers separated by a colon (for example, 2:3).
Answer:
44:1
Step-by-step explanation:
You'd write your answer as number that picked history : number that picked science.
So 44:1.
please help i can't understand this
9514 1404 393
Answer:
left-to-right
subtract 2ydistribute 5add 2ydivide by 25Step-by-step explanation:
[There's a lot to read here. If you read it, maybe you'll have a better understanding.]
This is asking you the first step required to solve each of the equations.
The general process of solving an equation involves performing operations that result in the variable of interest being on one side of the equal sign (by itself), and everything else being on the other side. When variable and constant terms are mixed, we generally want to remove the variable term.
The underlying rule for all of this is "whatever is done to one side of the equation must also be done to the other side." The exceptions are simplification and substitution.
"Inverse" operations are of use in this process. That is why you are taught about the "additive inverse" (negative) of a number, and the "multiplicative inverse" (reciprocal) of a number. Adding the additive inverse results in the additive identity element (0). Similarly, multiplying by the multiplicative inverse results in the multiplicative identity element (1). Adding 0 or multiplying by 1 leaves only the original value.
__
With this in mind, we can look at the given equations to see what is needed to solve them.
2 +2y = y
We see that the left side of the equation has both a constant term and a variable term. To remove the variable term we add its additive inverse: (-2y). Adding a negative value is the same as subtracting a positive value. That is, we can describe what we want to do as "subtract 2y from both sides".
When we do that, the result is ...
2 +2y -2y = y -2y . . . . . here, we show the subtraction
2 = -y . . . . . . . . . . . . . and this is the result of simplifying that.
Notice the y term is now on one side of the equal sign and the constant is on the other side. We are one step closer to the solution, which is the whole point.
__
5(y -4) = 2y
This equation has parentheses. It often works well as a first step to eliminate the parentheses, generally using the distributive property. That is, we "distribute 5".
When we do that, the result is ...
5(y) -5(4) = 2y . . . . . . . . here, we show the distribution
5y -20 = 2y . . . . . . . and this is the result of simplifying that
This puts us one step closer to the solution, which is the whole point.
__
5y = 10 -2y
Here, the unwanted variable term is -2y on the right side of the equation. To remove it, we add 2y to both sides.
When we do that, the result is ...
5y +2y = 10 -2y +2y . . . . . . . showing the addition of 2y
7y = 10 . . . . . . . . . . . . . . . simplified
This puts us one step closer to the solution.
__
5 = 25y
This equation has the variable term and the constant term already separated. However, there is a coefficient on the variable term that is not equal to 1. We want to make that coefficient be 1. To do that, we multiply it by its multiplicative inverse: 1/25. That is, we divide both sides by 25.
When we do that, the result is ...
5/25 = 25y/25 . . . . . . showing division by 25
1/5 = y . . . . . . . . . simplified (and the fraction reduced)
This gives us the solution. There are no more steps required.
Verify distributive property of multiplication.
a = 4.
b = (-2)
c = 1
Given values satisfy the Distributive property of multiplication by -4=-4.
The Distributive Property of multiplication says that the multiplication of a group of numbers that will be added or subtracted is always equal to the subtraction or addition of individual multiplication.
To verify the given Distributive property of multiplication,
Given a = 4, b = (-2) and c = 1
The expression for the Distributive Property of multiplication is A(B+C) = AXB + AXC. So by substituting those values in the equation we get,
4((-2)+1) = 4x(-2) + 4x1
4(-1) = -8 + 4
-4 = -4
So, by the above verification, we conclude that the given values satisfy the Distributive Property of Multiplication.
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four ninths minus four tenths equals blank ?
Answer:
2/45
Step-by-step explanation:
they say to "Use the Distributive Property to expand 4(2.9x- 7.8y) -6."
and i dont get it someone please help
Using the distributive property, the expression 4(2.9x - 7.8y) - 6 expands to
11.6x - 31.2y - 6.What is the distributive property?The distributive property states that when you have a number or term multiplied by a sum or difference in parentheses, you distribute the multiplication to each term inside the parentheses.
In the given expression, we have:
4(2.9x - 7.8y) - 6
multiply 4 by each term inside the parentheses:
4 * 2.9x = 11.6x
4 * (-7.8y) = -31.2y
rewrite the expression:
11.6x - 31.2y - 6
using the distributive property, the expression 4(2.9x - 7.8y) - 6 expands to 11.6x - 31.2y - 6.
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2020-2021 T-Math-Gr8Reg-T1-CBT
Quest
Which of these is a solution to the equation x = 36, x? = 42, or x = 55? Select three that apply.
X-V42
answer
a,c,e
i got 100% on this quiz
The solutions to the equation x³ = 36, x² = 42, x³ = 55 are:
x = ∛36
x = √42
x = ∛55
Option B, D, and F are the correct answers
Given,
Which of these is a solution to the equation x³ = 36, x² = 42, x³ = 55
Select three that apply.
A. x = √36
B. x = √42
C. = √55
D. = ∛36
E. = ∛42
F. = ∛55
How do we write square root and cube root?- Square root of a is written as √a.
- Cube root of a is written as ∛a.
We have,
- x³ = 36
Cube root on both sides
∛x³ = ∛36
x = ∛36
- x² = 42
Squaring on both sides
√x² = √42
x = √42
- x³ = 55
Cube root on both sides
∛x³ = ∛55
x = ∛55
We see that,
x = ∛36
x = √42
x = ∛55
Thus the solutions to the equation x³ = 36, x² = 42, x³ = 55 are:
x = ∛36
x = √42
x = ∛55
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The complete question is:
Which of these is a solution to the equation x³ = 36, x² = 42, x³ = 55
Select three that apply.
A. x = √36
B. x = √42
C. = √55
D. = ∛36
E. = ∛42
F. = ∛55
Someone help me with 10-15 ASAP please
Answer:
Step-by-step explanation:
1. Given (it was given)
2. Opposite Interior Angles Theorem (states that the alternate interior angles created from two parallel lines and a transversal line are congruent)
3. Given (it was given)
4. Definition of midpoint (a midpoint splits a line in half, halves are congruent)
5. Vertical Angles Theorem (states vertical angles are congruent)
6. ASA (states that triangles with two pairs of congruent angles, and congruent sides that are between the angles are congruent)
What is the image of N for a 300° counterclockwise rotation about the center of the regular hexagon? Will give brainiest only if answered correctly with explanation
Answer:
H
Step-by-step explanation:
here, the question says that the given regular hexagon needs to be rotated counter clockwise 300°, considering the edges labels, each movement from one edge to other is 60° as 360/6 =60.
focus on N and move on anti clockwise.
When N rotates anti clockwise about center from original to position G, is 60°,
when N moves on anti clockwise about center from original to position A is 120°.
similarly, to X is 180°, to E is 240° and to H is 300°.
so, the new position of N when rotated anti clockwise about origin of the hexagon will be at H.
a parachutist's rate during a free fall reaches 45 meters per second. what is this rate in feet per second? at this rate, how many feet will the parachutist fall during 15 seconds of free fall? in your computations, assume that 1 meter is equal to 3.3 feet. do not round your answers.
The parachutist's rate during free fall is 148.5 feet per second. They will fall approximately 3638.25 feet during 15 seconds of free fall.
To convert 45 meters per second to feet per second, we need to multiply it by the conversion factor of 3.3 feet/meter:
45 meters/second x 3.3 feet/meter = 148.5 feet/second
So the parachutist's rate during free fall is 148.5 feet per second.
To calculate the distance the parachutist will fall during 15 seconds of free fall, we can use the formula:
distance = 1/2 x acceleration x time^2
The acceleration due to gravity is approximately 9.8 meters per second squared. To convert this to feet per second squared, we can use the conversion factor of 3.3 feet/meter:
9.8 meters/second^2 x 3.3 feet/meter = 32.34 feet/second^2
Using this value for acceleration and plugging in the given values for time and rate, we get:
distance = 1/2 x 32.34 feet/second^2 x (15 seconds)^2
distance = 1/2 x 32.34 feet/second^2 x 225 seconds^2
distance = 1/2 x 7276.5 feet
distance = 3638.25 feet
Therefore, the parachutist will fall approximately 3638.25 feet during 15 seconds of free fall.
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a 95% confidence interval for the difference in proportions of young people and senior citizens who use the internet as a news source was found to be (.196, .320). which statements give a correct/appropriate interpretation of this interval?
The correct interpretation of the interval (0.196, 0.320) is that it is 95% confident that the difference in the proportions of young people and senior citizens who use the internet as a news source lies between 0.196 and 0.320.
In addition, we can say that the interval (0.196, 0.320) is a measure of precision or uncertainty regarding the true difference in the proportions of young people and senior citizens who use the internet as a news source.
What is a confidence interval?
A confidence interval is a range of values that we use to estimate an unknown population parameter. It is calculated from a sample and provides a measure of the precision or uncertainty of our estimate. A confidence interval consists of a point estimate (e.g., a sample mean or proportion) and a margin of error (e.g., plus or minus some number of standard errors).
Senior citizens are elderly people who have reached the age of retirement or have been given special legal status as such. Senior citizens may be retirees or active in the workforce.
Complete question: A 95% confidence interval for the difference in proportions of young people and senior citizens who use the internet as a news source was found to be (.196, .320). which statements give a correct/appropriate interpretation of this interval?
a) The proportions of young people and senior citizens who use the internet as a news source lies between 0.196 and 0.320.
b)The proportions of young people and senior citizens who use the internet as a news source lies between 0.196 and 0.320.
c) Both a and b
d) None of the above
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Fractions: three oil tankers together contain 37 5/7 litres of oil. If two tankers have 11 3/14 litres and 12 3/7 litres of oil. Find the oil in the third tanker
Step-by-step explanation:
It is given that, three oil tankers together contain 37 5/7 litres of oil.
Total volume of oil is \(\dfrac{264}{7}\ L\)
If two tankers have 11 3/14 litres and 12 3/7 litres of oil.
Oil in first tanker is \(\dfrac{157}{14}\ L\)
Oil in second tanker is \(\dfrac{87}{7}\ L\)
Oil in first and second tanker is :
\(\dfrac{157}{14}\ L+\dfrac{87}{7}\ L=\dfrac{331}{14}\ L\)
Noo, oil in the third tanker = total volume - (Oil in first tanker + second tanker )
\(=\dfrac{264}{7}\ L-\dfrac{331}{14}\ L\\\\=\dfrac{197}{14}\ L\)
Hence, this is the required solution.
Which expression correctly represents 10 less than a number cubed?
Answer:
a
Step-by-step explanation:
\(c^{3} - 10\)
A region D is bounded by y=e^x, y=0, x=0, x=1. The density function on this region is p(x,y)=y. Find the moments of inertia Ix, Iy, and Io for this lamina
Ix = 3.843, Iy = 2.977, and Io = 4.356.
The moments of inertia Ix, Iy, and Io of this lamina can be found by integrating the product of density p(x,y) and the distance squared of each point from the x and y axes,
respectively. Integrating the x-axis gives Ix = ∫_0^1 ∫_0^{e^x} y (y^2 + x^2) dy dx = 3.843.
Similarly,
integrating the y-axis gives Iy = ∫_0^1 ∫_0^{e^x} x (x^2 + y^2) dx dy = 2.977. Finally, Io can be found by integrating the product of p(x,y) and
the distance squared from the origin, which gives Io = ∫_0^1 ∫_0^{e^x} (x^2 + y^2) dx dy = 4.356. Therefore, the moments of inertia for this lamina are Ix = 3.843, Iy = 2.977, and Io = 4.356.
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hi i need the answer to this now plz
2 divided by 3
plz explain how you got answer like show work
What is the slope of a line that is perpendicular to the line
whose equation is y = 4x + 1?
Answer:
-4x-1
Step-by-step explanation:
Perpendicular means opposite i think
Answer:
The slope would be -4 since perpendicular lines are lines that meet at a right angle
Evaluate the expression when a=6 and b=4. b - 3a
-14 is the value of the expression b - 3a at a =6 and b = 4.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression b - 3a
For this expression given,
a = 6 and b = 4
Thus the value of expression at given values
=> b - 3a
=> 4 - 3 * 6
=>4 - 18
=> -14
Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.
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Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
Help pleaseee!!! He didnt go over how to do it in class....
Answer:
They are both linear
Step-by-step explanation:
1.
Use rise/run to find the slope of the line.
rise=21.8
run=1
therefore, the slope is 1/28. You can use that to graph the line. If the line meets the points on your table, it is linear. It does. The equation of the line would be y=21.8x.
2.
We can use the same process as before.
rise=7
run=2
Therefore, slope is 7/2. When this line is graphed it meets all the points, so it is linear.
Alteratively, you could graph the points first and then see if you get the same slope.
SUPER EASY! FRACTIONS PLS HELP!
a kindergraten teacher has a bucket of 51 crayons and another bucket of 5 redpencils,14 blue pencils and 6 green pencils.the bucket of crayons contains 19 red crayons ,17 blue crayons 9 green crayons and 6 yellow crayons.
1.what is the fraction of green crayons to the total number of crayons written in simplest form
2.the teacher places the crayons and pencils in one bucket what is the fraction of yellow crayons and green pencils wriiten in simplest form
3.penicls come in boxes of 6 the number of boxes of blu pencils in the bucket can be represented by the mixed numeral 2 2/6 what is the number of boxes in simplest form?
Answer:
1: 1/3
2: 3/19
3: 7/3
Step-by-step explanation:
Just answer with the value to put in the box thanks !
Answer:
x = 10.8
Step-by-step explanation:
9 ÷ x = x ÷ (9 + 4)
9 × (9 + 4) = x × x
9 × 13 = x²
117 = x²
x = 10.81665383
examples of whole numbers?
Step-by-step explanation:
In mathematics, whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on.
Answer:
Whole Number - numbers that do not include fractions, just an integer
Examples:
counting numbers
natural numbers
intergers (positive)
You can search all three of these things online to find more info.
A homeowner bought a dryer from a discount appliance store for $698.27 and makes 12 monthly payments of $63.29 with a credit card. The store charges $1.25 for every purchase made with a credit card. The homeowner also had to pay late fees in the amount of $35 four different times. What is the total cost of the dryer?
$713.27
$809.48
$900.73
$914.48
If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.
To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.
The total cost of the dryer can be calculated as follows:
Cost of dryer = $698.27
Total credit card charges = 12 x $1.25 = $15
Total late fees = 4 x $35 = $140
Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees
= $698.27 + $15 + $140
= $809.27
Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.
So, correct option is A.
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Evaluate the series 1 + 2 + 4 + 8 to S10.
The series to 10 term is
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512
What is recurrent relation?An equation that represents a sequence based on a rule is called a recurrence relation.
Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.
The term is predicted by multiplying the preceding term by 2
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