5y² + 2xy – 20x - 100
Step-by-step explanation:
Assume that the distance between City A and City B is x miles,
& the speed of the plane from City A to B is y mph;
The return trip is 20 mph slower so the plane's speed is (y – 20) mph
Since time = distance/speed; The time taken by the plane from City A to B is x / y hrs.
The time taken in return flight is;
x / (y - 20) hrs
The layover was 5hrs long. Therefore the total time taken on the who return trip journey is;
x/y + x/(y-20) + 5
multiply each individual fraction with the LCM of the denominators
x(y-20) + xy + 5 y(y-20)
xy -20x +xy + 5y² – 100
5y² + 2xy – 20x - 100
What expression are factors of the quadratic function represented by this graph?
Answer:
x and (x − 6)
Convert 0.85 to a percent.
Answer:
85%
Step-by-step explanation:
Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator. 0.85 × 100100.
= (0.85 × 100) × 1100 = 85100.
Write in percentage notation: 85%
Answer:
85%
Step-by-step explanation:
To convert a number to a percent, you need to multiply it by 100 and add a percent symbol to the end. 0.85*100=85%. Hope this helps!
All of the following proportions are equivalent except
b/a=d/c
a/b=cid
a/c=b/d
a/d=c/b
Since the circumference of the circle can be represented
by 2nr, and the area of a parallelogram is determined using
A = bh, which represents the approximate area of the
parallelogram-like figure?
Answer:
C) A=1/2(2πr)(r)
Step-by-step explanation:
The approximate area of the parallelogram-like figure is,
⇒ A = 1/2(2πr)(r)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, The circumference of the circle, 2πr, is the measure completely around the circle.
When the pieces of the circle are rearranged, half of this circumference will be on the top of the parallelogram and half will be on the bottom.
This means the base will be,
⇒ 1/2(2πr).
Hence, The approximate height of the parallelogram is the radius of the circle; this makes the area
⇒ A = 1/2(2πr)(r)
Thus, The approximate area of the parallelogram-like figure is,
⇒ A = 1/2(2πr)(r)
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Which of the following is(are) the solution(s) to | X+10 | = 3x-2?
Answer:
x = 6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
x = { 3, -2 }
Step-by-step explanation:
Let's actually find the solutions to | X+10 | = 3x - 2. Because of the absolute value operator this breaks down into two simpler problems:
1) x + 10 = 3x - 2, or 12 = 4x. Then x = 3
2) -(x + 10) = 3x - 2, or -x - 10 = 3x - 2, or -8 = 4x. Then x = -2
Consider the standard normal curve given.
A graph shows the horizontal axis numbered 20 to 40. 30 is highlighted in an orange outline. Variance = 5 and is highlighted in an orange outline. The line shows an upward trend to from 20 to 30 then a downward trend from 30 to 40.
The mean is __.
The standard deviation is __.
The data point 37 is __ one standard deviation from the mean.
Answer:
mean: 30
standard dev: 5
the data point 37 is more than
Step-by-step explanation:
The mean is 30.
The standard deviation is 5
The data point 37 is more than one standard deviation from the mean.
What is a bell curve?
'A bell curve is the informal name of a graph that depicts a normal probability distribution. The bell curve is perfectly symmetrical. It is concentrated around the peak and decreases on either side. In a bell curve, the peak represents the most probable event in the dataset while the other events are equally distributed around the peak. The peak of the curve corresponds to the mean of the dataset.'
According to the given problem,
Since, the curve of the bell curve peaks at the mean, therefore, in the given bell curve, the curve peaks at 30.
The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean. In the given bell curve, the points lie at a distance of 5. Therefore the standard deviation is 5.
The data point 37 is more than one standard deviation from the mean.
Since, the standard deviation is 5,
Mean = 30
Next Data Point = ( 30 + 5 )
= 35
Therefore the data point 37 is more than one standard deviation from the mean.
Hence, we can conclude, the bell curve has a mean of 30, standard deviation of 5 with the data point 37 being more than one standard deviation from the mean.
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Who likes online school and help please step by step
Answer:
135 cubic centimeters
Step-by-step explanation:
The formula for calculating volume of a triangular prism is 1/2×b×h×l (b: base, h: height, l: length)
1/2 × 5 × 9 × 6 = 135
Madi is 5 times as old as Brecken. In 12 years, she will be twice as old as he will be then. How old are they now?
Madi is 4 and Bracken is 20.
In 12 years Madi will be 16 and bracken will be 32 which is twice the age of Madi.
plz help me plz hurry What is the solution to the system of equations?
7 x minus 2 y = negative 24. 5 x + 5 y = 15.
Answer:
x=-2 y=5
Step-by-step explanation:
7x-2y=-24
5x+5y=15
35x-10y=-120
10x+10y=30
45x=-90
x=-2
-10+5y=15
5y=25
y=5
The solution of the equations is, x=-2 and y=5.
What is an equation?An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The given expressions are solved as below:-
7x-2y=-24
5x+5y=15
35x-10y=-120
10x+10y=30
45x=-90
x=-2
The second equation is solved as below:-
-10+5y=15
5y=25
y=5
Hence, the solutions are x=-2 and y=5.
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The polynomial p(w) = 3w^3 - 20w^2 + 37w - 20 has a known factor of (w-4). Rewrite p(w) as a product of linear factors.
Answer:
(w - 4)(w - 1)(3w - 5)
Step-by-step explanation:
Using Synthetic division to find the quotient on dividing p(w) by (w - 4)
4 | 3 - 20 37 - 20
12 - 32 20
-----------------------------
3 - 8 5 0 ← remainder = 0
quotient = 3w² - 8w + 5 = (3w - 5)(w - 1)
p(w) = (w - 4)(w - 1)(3w - 5)
Which equation can be used to find the volume of the cylinder?
s = 6 cm
h = 8 cm
OV= *(6) (8)
O V= x(12)?(8)
O V = $(8) (6)
V = x(8)?(8)
Answer:
Option 1: [tex]V=\pi (6)^{2} (8) \\[/tex]
Step-by-step explanation:
This is because when we plug in the value given in the picture.
Formula [tex]V=\pi r^{2} h[/tex]
The way we write this is by using our "r" which is 6. We plug in the 6 for "r" so the equation will look something like this: [tex]V=\pi (6)^{2} (h)[/tex]
Then we will plug in our height "h", which is 8. So the equation will look something like this: [tex]V=\pi (6)^{2} (8)[/tex]
So that's it. Very simple. Just remeber to keep the formula in mind and you will get the hang of it.
I hope this help! :D
The equation to find the volume of the cylinder is V = π ( 6 )² ( 8 )
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be V
Let the radius of the cylinder be r = 6 cm
Let the height of the cylinder be h = 8 cm
Now , Volume of Cylinder = πr²h
On simplifying , we get
V = π ( 6 )² ( 8 )
V = 288π cm³
Hence , the equation is V = π (6 )² ( 8 )
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What is the other dimension of the rectangular cross section that is perpendicular to the base (the face that is shaded) and
passes through the midpoints of the 10 cm edges?
centimeters by 18 centimeters
2
8
10
18
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
What is a difference between a rectangular prism and a cube?
40x + 13 - 45x
The standard form is
Help plzz ASSAP
The function f(x) = 30x + 150 represents the total cost of a gym membership at Jon's Gym for x months plus a signup fee. Bella's Gym has a signup fee of $50 and charges $45 dollars per month. Which statement is true.
Select one
The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym
Jon's Gym charges $15 more per month Bella's Gym
The signup fee at Jon's Gym is $15 more than the signup fee at Bella's Gym
Jon's Gym charges $100 more per month than Bella's Gym.
Answer: The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym
Step-by-step explanation:
Hi, to answer this question we have to write an equation for the cost of Bella's Gym
Jon's Gym: f(x) = 30x + 150
Bella's Gym has a signup fee of $50 and charges $45 dollars per month.
So, we have to multiply the number of months (x) by the cost per month, and add the signup fee cost (50).
Bella's Gym: f(x) = 45x+ 50
Since Jon's signup fee is 150 and Bella's signup fee is 50 , the difference of both costs is 100 (150-50=100), and since Jon's gym has the more expensive fee:
The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym
Final answer:
The statement that the signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym is true.
Jon's Gym charges $30 per month while Bella's Gym charges $45 per month; thus, Jon's Gym charges $15 less, not more.
Explanation:
Comparing the costs of gym memberships at Jon's Gym and Bella's Gym requires analysis of the initial signup fees and the monthly rates. The function for Jon's Gym, f(x) = 30x + 150, indicates a signup fee of $150 and a monthly rate of $30. Bella's Gym has a signup fee of $50 and a monthly rate of $45. To determine the true statement, we compare these numbers directly:
The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym ($150 - $50 = $100).The other statements provided in the question can be dismissed as false:
Jon's Gym does not charge $15 more per month than Bella's Gym; it charges $15 less per month.The signup fee at Jon's Gym is not $15 more than the signup fee at Bella's Gym; it is $100 more.Jon's Gym does not charge $100 more per month than Bella's Gym.Therefore, the correct statement is that The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym.
I really need help please dont put a crazy answer for points I NEED HELP! WILL MARK BRAINLIEST!!! If Pam works more than 40 hours per week, her hourly wage for every hour over 40 is 1.5 times her normal hourly wage of $7. Write a piecewise-defined function that gives Pam's weekly pay P(h) in terms of the number of hours h that she works.
Answer:
Sorry I made a mistake here is a picture of the answer. I hope this helps.
Pam's weekly pay can be modeled using a piecewise function. If Pam works 40 hours or less, her pay is her hourly rate times her hours worked. However, if she works more than 40 hours, her pay is her standard pay for 40 hours plus 1.5 times her hourly rate for each hour beyond 40.
Explanation:Pam's weekly pay, P(h), can be defined piecewise, meaning we split up h (the total hours she works) into different 'pieces' based on the terms of her pay structure. In this case, the 40 hour standard work week serves as the dividing line between these pieces. The piecewise function could be represented as follows:
P(h) = { $7h, if h <= 40
$7*40 + $7*1.5*(h-40), if h > 40 }
In this function, when Pam works 40 hours or fewer (h <= 40), her pay is simply her hourly wage ($7) times the number of hours worked. However, if she works more than 40 hours (h > 40), her pay is her standard weekly pay for the first 40 hours ($7 times 40) plus 1.5 times her hourly wage for each hour beyond 40 hours.
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What is the solution to the inequality -4(5/2+3/2x)>8?
A. x > -1/2
B. x < 1/3
C. x < -3
D. x > 3
Answer:
C
Step-by-step explanation:
Given
- 4([tex]\frac{5}{2}[/tex] + [tex]\frac{3}{2}[/tex] x) > 8 ← distribute parenthesis on left side
- 10 - 6x > 8 ( add 10 to both sides )
- 6x > 18
Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity
x < - 3 → C
Greg left work at 4:42 p.m. He had to go to the grocery store, the bank, and the car wash before going home. He got home at 6:17 pm. How long did it take Greg to run his errands?
It took Greg 95 minutes to run his errands.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To find the total time Greg spent running errands,
We need to calculate the difference between his departure time from work and his arrival time at home.
First,
We can convert both times to minutes past midnight to make the calculations easier.
So,
4:42 pm = 4 × 60 + 42 = 282 minutes past midnight
6:17 pm = 6 × 60 + 17 = 377 minutes past midnight
To find the time Greg spent running errands, we can subtract his departure time from his arrival time:
= 377 - 282
= 95 minutes
Therefore,
It took Greg 95 minutes to run his errands.
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Will give 20 points
Given the matrices:
What is the size of the product C = AB?
that is the answer for the first part what are the answers for the second part
Find the product of C = AB.
c11 =
c12 =
c21 =
c22 =
Answer:
Next frame (6) is C
Frame 7 is D then A
Frame 8 is D
Frame 9 is scalar, neither, matrix, matrix
Step-by-step explanation:
Doing the assignment rn :)
Answer:
C =AB
2 x 2
second part
c11=-1 c12=3 c21=3 c22=-3
third part
d11=0 d12=6 d21=1 d22=-4
Step-by-step explanation:
Correct on edge 2023
2. Below is a list of grades on
a math test. What is the
range of the scores?
Answer:
31
Step-by-step explanation:
The range can be found by subtracting the lowest number in the set from the highest, so one can conclude how large the gap in between the two is.
the lowest number her is 68 and the highest is 99
99-68=31
Answer:
31 is the range
Step-by-step explanation:
the range is the number between the highest data and the lowest data. You take your largest number in the data and subtract it from the highest.
Largest 99
smallest 68
99 - 68 = 31
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1-7 +100
????????????????????????????????????
Answer: 94
Step-by-step explanation:
1 - 7 + 100
We do the 1 - 7 first
1 - 7 = -6
-6 + 100 = 94
Answer:
94
Step-by-step explanation:
1-7=-6
-6+100=94
A taxi charges a $3 initial fee,plus $1.50 per mile traveled.
What is the total cost of a 4.5- mile taxi trip?
A $9.00
B $9.50
C $9.75
D $10.00
Answer:
C
Step-by-step explanation:
$1.50 multiplied by 4.5 = 6.75
$6.75 plus $3 = $9.75
Answer:
$9.75
Step-by-step explanation:
1.50 per mile traveled
1.50 x 4.5 = 6.75
plus the additional fee of three dollars
6.75 + 3.00 = 9.75
Which equation can be used to find the length of side x?
The equation that can be used to find the length of side x is:
cos(25°) = x / 32.
The equation that can be used to find the length of side x is:
cos(25°) = x / 32
This equation is based on the trigonometric ratio tan, which is defined as
the opposite side over the adjacent side.
In this case, the opposite side is x and the adjacent side is 32.
We know the angle between these two sides is 25°, so we can use the
tan function to solve for x.
x = cos(25°) * 32
x = 14.65 cm
Therefore, the equation that can be used to find the length of side x is:
cos(25°) = x / 32
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What is the domain of y = csc(x)?
The domain of y = cosec(x) includes all real numbers except for the integer multiples of [tex]\pi[/tex], where the sine function equals zero and the cosecant function is undefined.
The domain of a function is the set of all possible input values (usually x values) for which the function is defined. In the case of y = cosec(x), the cosecant function is the reciprocal of the sine function, meaning cosec(x) = 1/sin(x). Since the sine of an angle can be zero and division by zero is undefined, the domain of y = cosec(x) must exclude any x values where sin(x) = 0.
The sine function is zero at integer multiples of [tex]\pi[/tex], so the domain of cosec(x) is all real numbers except for integer multiples of [tex]\pi[/tex]
juan needs to measure 6 cups of flour for a recipe.he only has a 1/4 cup measuring cup.how many times must he fill the measuring cup to get 6 cups of flour
Answer:
24
Step-by-step explanation:
1 time=1/4 cups
xtimes=6 cups
Cross multiply
6×1=x×1/4
6=x/4
Make x the subject of formula by cross multiplying
x=4×6
x=24
So the final answer is 24
Select the correct answer. What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}? A. {24, 18, 12, 6, 20} B. {6, 12, 18, 24, 30} C. {-12, -6, 0, 6, 12} D. {0, 6, 12, 18, 24}
so the right answer is of option D...
Write the order pair that represents YZ. Then find the magnitude of YZ. Y(5,4), Z (0,-3)
Answer:
Ordered pair of YZ is (-5,-7) and magnitude of YZ is 8.602
Step-by-step explanation:
Given data:
Two pairs Y (5,4) and Z (0, -3)
To find: ordered pair of YZ
YZ = Z - Y = (0-5, -3-4)
= (-5, -7)
Hence ordered pair of YZ is (-5,-7)
To find: magnitude of YZ.
Here Y and Z are initial and final points of vector. Magnitude of YZ is distance between points Y and Z. Distance formula is
Distance = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]
magnitude of YZ = [tex]\sqrt{(0-5)^{2} + (-3-4)^{2} }[/tex]
= [tex]\sqrt{74}[/tex]
= 8.602
Another method:
magnitude of YZ = |YZ|
|YZ| = [tex]\sqrt{(-5)^{2} + (-7)^{2} }[/tex] ...............(since |xy| = [tex]\sqrt{(x)^{2} + (y)^{2} }[/tex]
= [tex]\sqrt{74}[/tex]
= 8.602
magnitude of YZ = 8.602
Answer:
D
Step-by-step explanation:
(-5,-7);√74 units
Product of 3 and 25 plus the product of 5 and 30?
It has to be an expression
Answer:
3(25)+5(30)
Step-by-step explanation:
Product means multiplying 2 things together and expression means you do not solve the equation you just leave it be
Marcus is saving to purchase his first car. He found a used Ford F-150 truck for $4500. Marcus has $300 in his savings account and will save $200 each week from his weekly paycheck.
a. Is this arithmetic or geometric?
b. Write the simplified explicit formula for the sequence.
c. How many weeks will it take to save for the truck?
d. Identify the domain and range for the sequence.
Answer:
Step-by-step explanation:
A.) It is arithmetic since its says that Marcus will save $200 each week.
B.) f(x)=$4500-($300+200x) = $4200-$200x; x represents the number of weeks, f(x) represents the amount of money Marcus still has to pay to get the truck.
C.) $4200-$200x=0; find x. $4200 = $200x; x = 21 weeks
D.) Domain: 0-21 weeks Range: $0-$4200
What is a common binomial factor