Answer:
This is obviously a school problem, so I'll give a hint.
Step-by-step explanation:
So the question is 3 1/4=1/2+w, and your trying to find what w is. But because this is a hard(ish) problem to explain, we're going to use an easier example:
Ex:
1+_=2
In this case, we don't know what 1+ something = two is. The problem itself is pretty easy, as most of instinctively know that 1 plus 1 is equal to 2. Its something that's been taught to use when we were young. But if you look closer, you realize that 1+_=2, is also equal to _=2-1. in a equation, you can add in any order. 1+2, and 2+1 is the same thing. They are both equal to 3. The same is said to 3 1/4=1/2+w. You need to know what 3 1/4-w=1/2, or what 1/2-3 1/4=w.
plsssss help due soon
Therefore, the image coordinates of the vertices of triangle N'M'O' are: N'(-11, -2), M'(-8, -1), O'(-11, -5) that is option D.
What is coordinate?In mathematics, a coordinate is a numerical value that specifies the position of a point in a geometric space, relative to a reference frame or origin. Coordinates are commonly used to describe the position of points in two-dimensional (2D) or three-dimensional (3D) space. In 2D space, a point can be described by its x-coordinate and y-coordinate. The x-coordinate represents the horizontal distance of the point from the origin, while the y-coordinate represents the vertical distance of the point from the origin. Together, the x-coordinate and y-coordinate specify the position of the point in the 2D space. In 3D space, a point can be described by its x-coordinate, y-coordinate, and z-coordinate. The x-coordinate represents the horizontal distance of the point from the origin, the y-coordinate represents the vertical distance of the point from the origin, and the z-coordinate represents the distance of the point along the depth or height axis. Together, the x-coordinate, y-coordinate, and z-coordinate specify the position of the point in the 3D space.
Here,
To determine the image coordinates of N'M'O' after translating the preimage 7 units to the left, we need to subtract 7 from the x-coordinates of each point.
The coordinates of N', M', and O' are obtained by subtracting 7 from the x-coordinates of N, M, and O respectively:
N' = (-4 - 7, -2) = (-11, -2)
M' = (-1 - 7, -1) = (-8, -1)
O' = (-4 - 7, -5) = (-11, -5)
Therefore, the image coordinates of N'M'O' are ON'(-11, -2), M'(-8, -1), O' (-11,-5). Answer option (D) is correct.
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suppose the scores for a sample of 10 students on priciple of
microeconomics exam as follows: 95,65,70,70,85,90,100,40,75,80.
what is the mean absolute deviation of the test scores for this
sample of Suppose the scores for a sample of 10 students on a Principles of Microeconomics exam are as follows: \( 95,65,70,70,85,90,100,40,75,80 \). What is the mean absolute deviation of the test scores for t
To calculate the mean absolute deviation (MAD) of the test scores for this sample, follow these steps:
Find the mean (average) of the test scores:
Mean = (95 + 65 + 70 + 70 + 85 + 90 + 100 + 40 + 75 + 80) / 10
= 750 / 10
= 75
Find the absolute deviation for each test score by subtracting the mean from each score and taking the absolute value:
Absolute Deviation = |Score - Mean|
Absolute Deviation for each score:
|95 - 75| = 20
|65 - 75| = 10
|70 - 75| = 5
|70 - 75| = 5
|85 - 75| = 10
|90 - 75| = 15
|100 - 75| = 25
|40 - 75| = 35
|75 - 75| = 0
|80 - 75| = 5
Calculate the sum of the absolute deviations:
Sum of Absolute Deviations = 20 + 10 + 5 + 5 + 10 + 15 + 25 + 35 + 0 + 5
= 130
Find the MAD by dividing the sum of the absolute deviations by the number of scores (10 in this case):
MAD = Sum of Absolute Deviations / Number of Scores
= 130 / 10
= 13
Therefore, the mean absolute deviation (MAD) of the test scores for this sample is 13.
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The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be doubled Give your answer correct to the nearest whole number
Answer:
It will take 9 years for the population to double
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
\(P=P_o(1+r)^t\)
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.
Substituting in the equation:
\(2P_o=P_o(1+0.08)^t\)
Simplifying:
\(2=(1.08)^t\)
Taking logarithms:
\(\log 2=\log (1.08)^t\)
Applying the exponent property of logs:
\(\log 2=t\log (1.08)\)
Solving for t:
\(\displaystyle t=\frac{\log 2}{\log (1.08)}\)
Calculating:
\(t\approx 9\)
It will take 9 years for the population to double
Is (–39, 42) a solution to the equation y = x + 81?
Answer:
Yes
Step-by-step explanation:
Yes because if you insert -39 for x and 42 for y then your equation is:
42 = -39 + 81
If you were to solve this equation it would be true.
Given EH = 12 and EG = 20 , find FJ.
Answer:
10
Step-by-step explanation:
If you look at it 20 is from EG so if FJ is half of EG then FJ is half of 20
The table shows the amount of money raised during a car wash for charity.
Number of Cars Washed Money Raised
3 $43.50
13 $279.50
18 $405.00
Which statement is true?
A. The group raised $14.50 per car.
B. The group raised $21.50 per car.
C. The group raised $22.50 per car.
D. The relationship is not a direct proportion.
Answer:
The correct answer is D. The relationship is not a direct proportion.
We can see that the money raised is not directly proportional to the number of cars washed. For example, when the number of cars washed is doubled from 3 to 13, the money raised is not doubled from $43.50 to $87.00. Instead, it is increased by a factor of 6.5, from $43.50 to $279.50. Similarly, when the number of cars washed is increased by 5 from 13 to 18, the money raised is increased by a factor of 1.4, from $279.50 to $405.00.
This suggests that the amount of money raised is not simply a linear function of the number of cars washed. Instead, it is likely a more complex function that takes into account other factors, such as the time of day, the weather, and the location of the car wash.:
Which scenarios describe data collected in a biased way? Select all that apply.
The scenarios that describe data collected in a biased way are: A principal interviewed the 25 students who scored highest on a reading test. Trey picked 10 numbers from a bag containing 100 raffle tickets without looking. Josh asked the first 25 people he met at the dog park if they preferred dogs or cats.
Here are the scenarios that describe data collected in a biased way:
A principal interviewed the 25 students who scored highest on a reading test. This is biased because it only includes the opinions of students who are already good at reading. It does not include the opinions of students who are struggling with reading.Trey picked 10 numbers from a bag containing 100 raffle tickets without looking. This is biased because it is possible that Trey picked more numbers from one section of the bag than another. This could skew the results of his data.Josh asked the first 25 people he met at the dog park if they preferred dogs or cats. This is biased because it only includes the opinions of people who are already at the dog park. It does not include the opinions of people who do not like dogs or who do not go to the dog park.The other scenario, where Kiara puts the names of all the students in her school into a hat and then draws 5 names, is not biased. This is because Kiara is using a random sampling method. This means that every student in the school has an equal chance of being selected.
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The graph compares temperatures and numbers of cyclists. the equation of the trend line for the scatterplot is y=4x+10
predict the number of cyclists when the temperature is 8 degrees Celsius
A. 38
B. 45
c. 32
D. 42
Answer:
D. 42
Step-by-step explanation:
y=4x+10
substitute x=8
y=4(8)+10
y=32+10=42
Answer:
The answer is 42 cyclists
Step-by-step explanation:
y=4x+10
where,x=Temperature
y=cyclists
y=4x+10;when x=10
Y=4×8+10
y=32+10
y=42
Which expression is NOT equivalent to 12x + 18y?
A) 6 (2x) + 18y
B) 6 (2x + 3y)
C) 6x + 9y + 6x + 9y
D) 3 (4x + 18y)
Answer:
D
Step-by-step explanation:
3 (4x + 18y) means that 3 will multiply 4x and 18y factor which results to 12x + 54y
hence dissimilar to the original expression
Find five solutions for the linear equation x+y=3
Answer:
1+2
3+0
6-3
15-12
4-1
what types of function do you see in the following graph?
constant and absolute value
15 first-year algebra students are learning how to solve two-step equations. the teacher notices that the students are not using precise mathematical language. which two instructional strategies should the teacher employ to encourage students to use precise mathematical language when completing this task? choose 2 answers
Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.
However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.
So the list goes as
1. Exponents
2. Roots
3. Multiplication
4. Division
5. additional
6. Subtraction
However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.
Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.
Furthermore, the preferred behavior norm for division and multiplication is different.
Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.
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a certain map shows two roads. road a is 1 1/4 miles long but is 1 1/2 inches long on the map. what the unit rate for inches per miles on this map? if road b is 10 miles long, how long is road b on the map?
Answer:
30 inches
Step-by-step explanation:
Length of road A = 1¼ miles
Length of road A on map = 1½ inches
Unit rate for inches per miles on the map = 1½ inches ÷ 1¼ miles = ³/2 ÷ ⁵/4 = ³/2 × ⅘ = ⁶/5 inches per mile
Length big Road B on map:
Road B actual length = 10 miles
Thus, using the unit rate of ⁶/5 inches to 1 mile, length of road B on map would be calculated as shown below:
⁶/5 × 10 = 6*5 = 30 inches
Road B is 30 inches long on the map.
I need help I tried solving it but it was wrong
What is the area of one of the small trapezoids? show your work and explain your reasoning.
Find the slope and the y-intercept of the line.
Y=2x-5
Answer:
Slope = 2
y-intercept = (0, -5) or just -5
Step-by-step explanation:
In the equation y = mx + b,
m represents the slope
and
b represents the y-intercept.
So in the equation y = 2x - 5, 2 represents the slope since it is in place of m, and -5 represents the y-intercept since it is in place of b.
When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone
was dropped. The equation of the least-squares regression line is log(Area) = 0.490 + 2.004 log(Time). What is the
predicted area of the circle, in cm², 4 seconds after the stone is dropped?
49.72 cm²
O 199.43 cm²
O 311.89 cm²
O 1854.10 cm²
The area of the circle can be predicted as 49.65 cm². The correct option is (A).
What is a circle?A circle is a geometric shape, all of which points are equidistant from a fixed point called as the centre. The area of circle is given as πr². The longest line segment drawn inside a circle is its diameter.
The given equation for the area of circle after stone is dropped is as below,
log(area) = 0.490 + log(time)
Now, after 4 seconds of dropping the stone the area can be estimated as,
log(area) = 0.490 + log(4)
⇒ log(area) = 1.696
⇒Area = 10^1.696
⇒ Area = 49.65
Which is approximately equal to the value given in option (A).
Hence, predicted area of the circle after 4 seconds of the stone is dropped is obtained as 49.65 cm².
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What was Justin's error? Justin should have multiplied 12.5 and 7.9 first. Justin should have added 12.5 and 7.9 first. Justin should have multiplied 3.8 and 7.9 first. Justin should have added 3.8 and 7.9 first.
Answer: Justin should have multiplied 3.8 and 7.9 first.
Step-by-step explanation:
The equation that was given with regards to the question is 12.5 + 7.9x and we are told that the value of x = 3.8
The error made by Justin was that he didn't multiply 3.8 and 7.9 at first. Solving the equation will be:
= 12.5 + 7.9x = 12.5 + 7.9(3.8)
= 12.5 + 30.02
= 42.52
Answer:
He added.
Step-by-step explanation:
I dont wanna do step by step
Are the lines of equations
x = −2 + 2t, y = −6, z = 2 + 6t and
x=−1+t,y=1+t,z=t, t∈ R, perpendicular to each other?
The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.
Given lines of equations:
x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.
Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.
Let `t=2`, then the point on the line is
\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T
herefore, direction vector `
\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)
For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)
Let the angle between the direction vectors `v1` and `v2` be `θ`.
Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.
Thus, we have:
(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ
=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)
Therefore,
`θ = cos⁻¹(8/(4√10))`
which is approximately `28.07°`.
Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.
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Suppose you have an outdoor vegetable garden with dimensions 2 mx2 m. A storm lasting 1 hr delivers 0.8 inches of rain. a. What is the storm rainfall flux? Express your answer using each of the following units: m 2
hr
kgliquid water m 2
hr
lb liquid water m 2
hr
liters liquid water m 2
hr
gallons liquid water b. How much liquid water fell on your garden? Express your answer using each of the following units:
The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.
Dimensions of outdoor vegetable garden = 2 m × 2 m
Storm rainfall = 0.8 inches of rain
Time of storm = 1 hr(
a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:
Rainfall flux = (Amount of rainfall) / (Area × Time)
Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:
Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)
Converting inches to meters, we get:
1 inch = 0.0254 m
Therefore,
Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr
Converting the rainfall flux to other units:
In kg/hr:
1 kg of water = 1000 g of water
Density of water = 1000 kg/m3
So, 1 m3 of water = 1000 kg of water
So, 1 m2 of water of depth 1 m = 1000 kg of water
Therefore, 1 m2 of water of depth 1 mm = 1 kg of water
Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr
In lbs/hr:
1 lb of water = 453.592 g of water
So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr
In liters/hr:
1 m3 of water = 1000 L of water
So, 1 m2 of water of depth 1 mm = 1 L of water
Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr
In gallons/hr:
1 gallon = 3.78541 L
So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr
(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.
Volume = Area × Depth.
The area of the garden is 2 m × 2 m.
We need to convert the rainfall amount to meters.
1 inch = 0.0254 m
Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m
Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3
Converting the volume to other units:
In liters:
1 m3 of water = 1000 L of water
Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L
In gallons:
1 gallon = 3.78541 L
Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.
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A barracuda swam directly toward a coral reef at a constant velocity for 9.6 seconds. It swam 72 meters in that time. What was its speed?
A barracuda swam directly toward a coral reef at a speed of 9.6 seconds. It swam 72 meters. so its speed was 7.5m/s.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Speed = Distance/ time taken
A barracuda swam directly toward a coral reef at a constant velocity for 9.6 seconds. It swam 72 meters in that time.
Distance = 72 meters
Time taken = 9.6 seconds
So,
Speed = Distance/ time taken
Speed = 72/ 9.6
= 720/ 96
= 7.5m/s
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Write a system of any qualities for each graph Need help with 21. a. ,b. And c.
Question a
\(\begin{gathered} \text{The graph is represented by the two equations below:} \\ x\text{ - y }\ge\text{ 2} \\ y\text{ - x }\ge\text{ 2} \end{gathered}\)Question b
\(\begin{gathered} \text{ x }>\text{ y} \\ y\text{ < -x} \end{gathered}\)Question c
\(\begin{gathered} y\text{ < 1} \\ \text{y - x }\leq1 \end{gathered}\)I need help with this problem .
Answer:
D because the BC is the radius line
Mr. and Mrs. Valdez are starting a savings account for their daughter . savings accounts at the banks in their area offer rates up to 20% continue continuously compounded. they hope to have $100,000 saved By the time their daughter is 18 years old . is this a realistic goal ? explain why or why not using an interest rate to support your answer.
PLEASE HELP me
Answer:
this is a realistic goal salary by age 30 and increase your savings by your annual salary every five years.
Fast Answer:
A general rule of thumb is to have one times your income saved by age 30, three times by 40, and so on. See chart below. The sooner you start saving for retirement, the longer you’ll have to take advantage of the power of compound interest. Aim to save 5% to 15% of your income for retirement — or start with a percentage that’s manageable for your budget and increase by 1% each year until you reach 15%. The thought of saving a couple million dollars by your 60s or 70s can sound daunting, we know. That’s where breaking up your retirement savings with age-based benchmarks may help. By looking at your savings in 10-year increments, it’s easier to plan financially and put actionable savings steps in place. One popular age-based savings recommendation is that you should aim to save one times your salary by age 30 and increase your savings by your annual salary every five years.
Step-by-step explanation:
the expression 60\cdot1.2^t60⋅1.2 t 60, dot, 1, point, 2, start superscript, t, end superscript models the number of nano-related patents granted in the us as a function of years since 199119911991.
The expression 60⋅1.2^t models the number of nano-related patents granted in the US as a function of years since 1991.
Start with the number 60.
This represents the initial number of nano-related patents granted in the US in the year 1991.
Multiply 60 by 1.2.
This accounts for a growth factor of 1.2, indicating that the number of patents granted is increasing by 20% each year.
Raise 1.2 to the power of t. The variable t represents the number of years since 1991. This allows the expression to model the increase in patents over time.
The resulting expression, 60⋅1.2^t, gives an estimate of the number of nano-related patents granted in the US for any given year since 1991.
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any idea?
help please, thank you☺️
Answer:
1. 27
2. 30
Step-by-step explanation:
Simple maths
4. Find solution of the system of equations. Use D-operator elimination method. X' = x' - (2-3) x X Write clean, and clear. Show steps of calculations.
Using the D-operator elimination method, we simplify the equation X' = x' - (2-3)xX to X'' = Dx' - (2-3)xDX, representing the second derivative of X.
To solve the system of equations using the D-operator elimination method, we are given the equation:X' = x' - (2-3) x X
To begin, let's define a new variable, D, as the derivative operator d/dt. Using this notation, we can rewrite the equation as:DX = Dx - (2-3)xX
Next, let's differentiate both sides of the equation with respect to t:
D²X = D(Dx) - D((2-3)xX)
Now, let's simplify each term:
D²X = Dx' - (2-3)xDX
Since D²X represents the second derivative of X with respect to t, we can substitute it with X''.
X'' = Dx' - (2-3)xDX
This is the simplified form of the original equation after applying the D-operator elimination method.
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My bed is 3 inches by 2 2/3 by 1/3 what is the volume of my bed.
Answer:
2 \(\frac{2}{3}\) \(in^{2}\)
Step-by-step explanation:
What kind of statistics are used in the following examples? Fill in the blank with either inferential or descriptive: A school psychologist finds that students who listen to music have decreased scores on their homework Fill in the blank with either descriptive or inferential What kind of statistics are used in the following example: A teacher reports the average score for a class Identify the dependent and independent variable
In the given examples, the kind of statistics that are used can be described as follows:1. A school psychologist finds that students who listen to music have decreased scores on their homework - Inferential statistics are used here.2. A teacher reports the average score for a class - Descriptive statistics are used here.
For identifying the dependent and independent variable, the following description can be given:
Dependent variable: This is the variable that is being tested and measured. In the given example, the dependent variable is the score on the homework.
Independent variable: This is the variable that is being manipulated. In the given example, the independent variable is the music that the students listen to.
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Bo is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $2 per mile driven. How much would a taxi ride cost if Bo is riding for 9 miles? How much would a taxi ride cost that is � m miles long?
Answer:
If Bo is riding for 9 miles, the cost of the taxi ride would be:
$3 pickup fee + $2/mile x 9 miles = $3 + $18 = $21
To find the cost of a taxi ride that is "m" miles long, the cost would be:
$3 pickup fee + $2/mile x m miles = $3 + $2m
Therefore, the cost of a taxi ride that is "m" miles long would be $3 + $2m.
hope it helps you
The cost of a taxi ride for Bo if he is riding for 9 miles would be the sum of the initial charge of $3 and the product of the distance traveled and the per-mile charge of $2. Thus, the total cost would be: $3 + ($2 x 9) = $3 + $18 = $21 To calculate the cost of a taxi ride that is 1/2 miles long, we would apply the same formula. That is: $3 + ($2 x 1/2) = $3 + $1 = $4 Therefore, the cost of the taxi ride would be $4 if the ride is 1/2 miles long.