========================================================
Explanation:
a = speed of airplane without any wind
a+50 = speed of the plane with the wind boosting it
distance = rate*time
d = r*t
d = (a+50)*4
This represents the plane traveling 4 hours at the speed of a+50 mph. We don't really care about the distance d.
The other equation to set up is
d = (a-50)*5
which means the plane is going slower at a-50 mph and travels for 5 hours this time.
The system of equations is
\(\begin{cases}d = (a+50)*4\\d = (a-50)*5\end{cases}\)
Both equations involve the same variables 'a' and d, which allows us to use substitution to solve for 'a' like so
d = (a+50)*4
(a-50)*5 = (a+50)*4
5a-250 = 4a+200
5a-4a = 200+250
a = 450
The speed of the plane, without any wind, is 450 mph
Which ordered pair (r, s) is the solution to the given system of equations?
(1, 8) (3, 8) (1, –2) (8, 3)
Answer:
(8,3)
Step-by-step explanation:
Edge 2020 hope this helps =)
Answer:
Answer D On edge
Step-by-step explanation:
i took the test
Find the volume of the cone below. Leave your answer in terms of pi.
Answer:
ahaha it's B my guy
Step-by-step explanation:
peace out
-12 divided by 2.............
The hole for a support needs to be6 feet deep. It is currently 2 feet 9 inches deep. How much deeper must the hole be. Use the conversion factor 12 inches/ 1 foot
The hοle needs tο be 39 inches deeper.
What is the cοnversiοn factοr?A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.
The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).
Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:
6 feet - 2.75 feet = 3.25 feet
Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:
3.25 feet x 12 inches/1 fοοt = 39 inches
Therefοre, the hοle needs tο be 39 inches deeper.
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2/10 convert to a decimal
Answer:
0.2 is the answer
-your welcome and have a great day!!
elect all equations that represent the number of subscribers, , in terms of months since the beginning of the year (when she had 150 subscribers).
Help help help help help help help math math
Answer:
Step-by-step explanation:
5x + 10 + 10x + 5 = 180
15x + 15 = 180
15x = 165
x = 11
Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
hey any help? (please make sure this is correct i'd appreciate it)
Answer:
Below
Step-by-step explanation:
Line AB is of the form y = mx + b where m is the slope = 2
Line BC is perpendicular to this and will have slope - 1/m = - 1/2 and includes the point C (0,6)
The point slope form of line BC will then be
( y-6) = - 1/2 ( x - 0) which can be re-arranged to
y = - 1/2x + 6 < ==== equation for line BC
The weight of body is 420N. calculate its mass.
Answer:
mass = 42 kg
Step-by-step explanation:
We know that we have the formula that
W = m * g
Then
given
weight (w) = 420
g = 10 m/s²
then
W = m* g
420 = m * 10
m = 420/10
m = 42 kg
Hope it helps :)
Answer:
Step-by-step explanation: weight = 420N
mass= ?
we know,
weight = mass . acceleration due to gravity
or, 420 = mass . 9.8
therefore mass = 42.85 kg
Find the equation of the line.
Use exact numbers.
y= x+
Answer:
The equation of this line is y = -3x + 7
Step-by-step explanation:
Remember that when writing an equation for a graphed linear line, we must write it in slope intercept form (y=mx+b). The m represents the slope, and the b represents the y-intercept.
(The slope determines the direction in which the line goes, and is written as rise/run.)
In this case the slope is going to be negative, since the line is going downwards to the right. Additionally the slope of this line is -3/1 or just -3.
(The y-intercept is the point in which the line crosses the y-axis.)
In this case, since the line crosses the y-axis at positive 7, the y-intercept will be 7.
So all together we have y = -3x + 7.
Hope this helps you :)
please help and answer ASAP please will mark Brainlest
What is the value of x?
Enter your answer in the box.
x =
°
Answer:
80 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.
IF ANY ONE NEEDS HELP WITH ANY KIND OF WORK ILL DO IF FOR A BIT OF CASH I GRADUATED COLLEGE I KNOW WHAT I'M DOING step by step
Answer: sounds nice how does it work though?
Step-by-step explanation:
In ΔGHI, the measure of ∠I=90°, HI = 1.1 feet, and IG = 7.5 feet. Find the measure of ∠G to the nearest tenth of a degree.
Answer:
8.3
Step-by-step explanation:
Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours how far did Simon drive in all
Answer:
415 miles
Step-by-step explanation:
Start with the speed equation:
speed = distance/time
Now solve the speed equation for distance:
distance = speed × time
Apply the speed equation solved for distance to the two parts of the trip.
4 hours at 55 mph:
distance = 55 mph × 4 hours = 220 miles
3 hours at 65 mph:
distance = 65 mph × 3 hours = 195 miles
Add the two distances to find the total distance:
total distance = 220 miles + 195 miles = 415 miles
Answer: 415 miles
Answer:
415 miles
Step-by-step explanation:
Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.
How far did he drive?
d=rt
For the first part of the trip:
d = 55 * 4 = 220 miles
For the second part of the trip:
d = 65*3 =195 miles
Add the miles together
220+195 = 415 miles
Sloane and Joey are saving up to buy a drone. The cheapest drone they found costs more than $120. They broke open their piggy banks to find
that they already have $48 if they put their money together. They earn $12 a week combined for doing chores around the house. What is the
fewest number of weeks they will have to save their allowance in order to have a combined total of more than $120 to buy a new drone?
Answer:
7 weeks
Step-by-step explanation:
So, the question is the number of weeks. What we need to know is in how many weeks exactly are we going to earn more 120 $. The clue given in the question is that,' They earn 12 $ per week.
That can also be written as,
1 week = 12 $
If in one week, we'll earn 12 $ then in how many weeks will we earn more than 120 $ ( Remember, the money should be more than twenty but also the least number which is more than 20.)
So, here we write
1 week= 12 $
2 weeks= 12 × 2 = 24 $
3 weeks= 36 $
4 weeks= 48 $
5 weeks= 60 $
6 weeks= 72 $
7 weeks= 84 $
Now if you wish to verify, you can do the calculations as follows;
84 + 48 = 132$
So, 132 $ is more than 20 and the least number more than 20. Thus, the statement also shows that if it's the least number more than 20, it should also be the least number of weeks.
Hope it helps!
Let the universal set be the set of integers and let A = {x | ≤ 5}. Write A using the roster method.
Answer: A = {..., -1, 0, 1, 2, 3, 4, 5}
Step-by-step explanation:
We have that the set A is the set of all the integers equal to or smaller than 5.
To write in the Roster Method, we must list all the elements of this set, but we know that this set extends to minus infinity, then we should start with an ellipsis:
A = {...
Which means that it continues in that direction.
Then we can implicitly write the end of our set, and also some of the points so we can know the relation between the points in the set.
A = {..., -1, 0, 1, 2, 3, 4, 5}
And that is the set A in written with the Roster Method
Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 2
90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
270° counterclockwise rotation
The angle of rotation for the described transformation is
180° clockwise rotationHow to know the angle of rotationThe movement or transformation described is form quadrant 4 to quadrant 2.
The transformation will require 180 degrees transformation.
In this type of transformation, both clockwise and the counter clockwise have similar effects
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Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.
(a) y=Ï€x
(b) y=xπ
(c) y=x2(2−x3)
(d) y=tant−cost
(e) y=s1+s
(f) y=x3−1√1+x√3
(a) f(x) = \(log_2(x)\) is a logarithmic function
(b) g(x) = ∜x is a root function
(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function
(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2
(e) v(t) = \(5^t\)is an exponential function
(f) w(θ) = sin θ \(cos^{2}\theta\) is a trigonometric function.
(a) f(x) = \(log_2(x)\) is a logarithmic function. Logarithmic functions have the logarithm of the independent variable as the output. Here, the logarithm base is 2.
(b) g(x) = ∜x is a root function. Root functions have the square root or higher roots of the independent variable as the output. Here, the root is a cube root.
(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function. Rational functions are functions that are expressed as the quotient of two polynomials. Here, the numerator is a cubic polynomial and the denominator is a quadratic polynomial.
(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2. Polynomials are functions that are expressed as a sum of powers of the independent variable, with coefficients. The degree of a polynomial is the highest power of the independent variable.
(e) v(t) = \(5^t\) is an exponential function. Exponential functions have the independent variable as the exponent. Here, the base is 5.
(f) w(θ) = sin θ \(cos^{2}\theta\) is an algebraic function and a trigonometric function. Algebraic functions are functions that can be expressed using arithmetic operations and algebraic expressions. Trigonometric functions are functions that involve the ratios of the sides of a right triangle. Here, the function is a combination of sine and cosine functions.
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The complete question is -
Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.
(a) f(x) = \(log_2(x)\)
(b) g(x) = ∜x
(c) h(x) = \(2x^3/(1 - x^2)\)
(d) u(t) = 1 - 1.1t + \(2.54t^2\)
(e) v(t) = \(5^t\)
(f) w(θ) = sin θ \(cos^{2}\theta\)
consider the continuous random variable x, which has a uniform distribution over the interval from 40 to 44. the variance of x is approximately . a. 46 b. 1.333 c. 1.155 d. 0.333
Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.
The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:
Var(x) = (b-a)^2 / 12
For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:
Var(x) = (44 - 40)^2 / 12 = 1.155
Therefore, the variance of 'x' is approximately 1.155
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x is rounded to 1 decimal place is 3.7
Write down the error interval for x.
The error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
What is interval notation?It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close brackets the close brackets mean the value at the close bracket is also included, and the open bracket means the value at the open bracket does not include.
It is given that, the number is 3.7.
We have to find the error interval for x rounded to 1 decimal place for the number 3.7.
Thus, the error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
When a number has been rounded or truncated, error intervals are the upper bounds of accuracy. They represent the range of values that a number might have had before being rounded or truncated.
This is so that we may round the range of 3.65 to 3.75 to one decimal place, and as 3.74 or less is considered to be below 3.75, rounding to one decimal place gives us 3.7.
Thus, the error interval for x will be 3.65<x<3.75 rounded to 1 decimal place.
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URGENT!!!! Find the y-intercept of the line that passes through the points (-3, 7) and (3, −9).
Answer:
\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)
\(7 = - \frac{8}{3} ( - 3) + b\)
\(7 = 8 + b\)
\(b = - 1\)
\(y = - \frac{8}{3} x - 1\)
The y-intercept is -1.
Find the smallest positive integer that satisfies both of the following equations: = 3 (mod4) and = 5 (mod6)
Answer:
x=3mod4
Means that when x is divided by 4 it gives an unknown integer and a remainder of 3.
x/4 = Z + 3/4
Z= (x-3)/4
Where Z is the integer
x=5 mod6
x/6 = Y + 5/6
Y = (x-5)/6
Where Y is the integer
Z-Y must be an integer on equal to zero
(x-3)/4 - (x-5)/6
3(x-3)/12 - 2(x-5)/12
(3x-9-2x+10)/12
(x+1)/12
If it is equal to 0
x=-1. But x should be positive
If it is equal to 1
x=11
Hence the smallest possible number is 11
Finding Horizontal and Vertical Translations
Thy it
If the point G(-4, 6) was moved horizontally 4 units to the left, which of the following is the correct mapping to define
the translation?
O (x, y) = (x, y + 4)
O (x,y) → (x + 4, y)
O (x,y) → (x, y - 4)
O (x,y) → (x-4, Y)
Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 neighborhood residents are displayed in the histogram below. A histogram titled Neighborhood Monthly water bill has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8. Which interval shows the greatest change in water bills? $150–$175 $175–$200 $200–$225 $225–$250
$200-$225 interval shows the greatest change in water bills
What is Histogram?A diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.
The interval which contains the median water bill is $200 - $225
The tabulated data is given in the attachment.
The median class = Cummulative frequency / 2
The median class = 40 / 2
The class interval which contains the 20th frequency.
This is the 200 - 225 class
The interval which contains the median water bill is $200 - $225
Hence $200-$225 interval shows the greatest change in water bills
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Answer:
C)$200–$225
Step-by-step explanation:
edge 2023
Tanvi and her friend Beth are making cookies for their school's cookie swap. Tanvi mixes 1
cup of chocolate chips and 3 cups of plain sugar cookie dough in a small bowl. Beth mixes 2
cups of chocolate chips and 6 cups of plain sugar cookie dough in a larger bowl. Once the
cookies are baked, the girls are ready for a chocolaty snack. Whose batch of cookies was
more chocolaty?
Answer:
they are the same
Step-by-step explanation:
the ratios if in simplest form are both 1/3
Hector saved $726 in 6 months. he saved the same amount each month. How much did hector save each month? I don’t have the answer and I don’t get it !
Answer:
He saved $121
Step-by-step explanation:
All you have to do is divide $726/6 which gives you $121.
A high school robotics club sold cupcakes at a fundraising event.
They charged $2.00 for a single cupcake, and $4.00 for a package of 3 cupcakes.
They sold a total of 350 cupcakes, and the total sales amount was $625.
The system of equations below can be solved for , the number of single cupcakes sold, and , the number of packages of 3 cupcakes sold.
Multiply the first equation by 2. Then subtract the second equation. What is the resulting equation?
x + 3y = 350
2x + 4= 625
Type your response in the box below.
$$
The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:
-5y = -375
1. Given equations:
- x + 3y = 350 (Equation 1)
- 2x + 4y = 625 (Equation 2)
2. Multiply Equation 1 by 2:
- 2(x + 3y) = 2(350)
- 2x + 6y = 700 (Equation 3)
3. Subtract Equation 2 from Equation 3:
- (2x + 6y) - (2x + 4y) = 700 - 625
- 2x - 2x + 6y - 4y = 75
- 2y = 75
4. Simplify Equation 4:
-2y = 75
5. To isolate the variable y, divide both sides of Equation 5 by -2:
y = 75 / -2
y = -37.5
6. Therefore, the resulting equation is:
-5y = -375
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PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No
A barbecue restaurant gives 3 napkins for every 5 items ordered. if an order is for 30 items, how many napkins should be given? Use the double number line diagram to solve.
Answer:
18 napkins
Step-by-step explanation:
If the restaurant gives 3 napkins for every 5 items ordered, and there's 30 items... you must divide 30 by 5 which is 6. Then, multiply 6 by 3. Therefore the answer is 18.
\(30 \div 5 = 6\)
\(6 \times 3 = 18\)
Hope this helped:)
Answer:
18 napkins
Step-by-step explanation: