Answer:
It takes 31 Pounds for UPS and FedEx to cost the same?
Step-by-step explanation:
The equation for the cost of a UPS shipping:
7 + .20x
to check the answer, you can do : 7 + (.20 x 31)
= $14.00
The cost for the cost of the PedEx shipping is:
5 + .30x
to check the answer, you can do : 5x + (.30 x 31)
= $14.00
The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 30 feet in radius. Your ball is located as in the picture below. The ball follows a straight line path and exits the green at the right-most edge. Assume the ball travels 11 ft/sec. Introduce coordinates so that the cup is the origin of an xy-coordinate system. Provide numerical answers below with two decimal places of accuracy.
It takes approximately 1.909 seconds for the ball to reach the right-most edge of the green.
How is this determined?In this problem, we are given the radius of the circular green (30 feet) and the speed of the ball (11 ft/sec). We are also given a diagram of the ball's starting point and the location of the cup, which is at the origin of the xy-coordinate system.
We can introduce coordinates by assigning the x-coordinate to be the horizontal distance from the cup (the origin) and the y-coordinate to be the vertical distance from the cup.
From the given diagram, we can see that the ball's starting point is at (x,y) = (-15, -18). The cup is at (0,0). We are asked to find the time it takes for the ball to reach the right-most edge of the green.
To find this, we first need to find the distance between the ball's starting point and the right-most edge of the green. We can use the Pythagorean theorem to do this:
d = √((x2-x1)^2 + (y2-y1)^2) = √((15)^2 + (18)^2) = 21
Now that we have the distance, we can use the formula:
time = distance / speed = 21 / 11 = 1.909 sec (approx)
So it takes approximately 1.909 seconds for the ball to reach the right-most edge of the green.
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find the zero of the following function: f(×)=(×-1)/(×-3)
Answer:
\(\boxed{\sf \ \ x = 1 \ \ }\)
Step-by-step explanation:
Hello,
First of all we need to take x different from 3 as dividing by 0 is not allowed
then for x real different from 3
\(f(x)=0\\\\<=> \dfrac{x-1}{x-3}=0\\\\<=> x-1 = 0\\\\<=> x = 1\)
hope this helps
Simplify the expression
3.1-3.4n - 2n + 6
Answer:
9.1-5.4n
Step-by-step explanation:
Answer:
9.1-5.4n
Step-by-step explanation:
number 7 please
7. Determine the approximate location of a GPS receiver if it has been determined that: (4 mark) - Station 1 (at 74, 41) is \( 44 \mathrm{~km} \) away. - Station \( 2( \) at 0,43\( ) \) is \( 38 \math
If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).
The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.
It can be determined by the following method:
1: Plot the given stations on a coordinate plane. Stations are:
Station 1: (74, 41)
Station 2: (0, 43)
2: Calculate the distance of the GPS receiver from each station using the distance formula.
Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by
d = √[(x2 - x1)² + (y2 - y1)²]
Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km
Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km
3: Plot the given distances as the circle on the coordinate plane.
Circle 1: Centred at (74, 41) with a radius of 44 km.
Circle 2: Centred at (0, 43) with a radius of 38 km.
4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).
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Is (-1, -4) a solution to a equation y=6x_ -2?
4(y – 3) = y – pls help me on this question
Answer:
y=4
Step-by-step explanation:
“Order the following workers in order from highest hourly pay (on top) to lowest hourly pay (on bottom) : Molly worked 15 hours and earned $277.50
Paul worked 3 hours and earned $51
Jake worked 40 hours and earned $770
Jackie worked 6.5 hours and earned $126.75
I just need someone to put them in order pls it’s on a test and I got it wrong the first time,and when I asked no one answered on this app
What is the value of x in the equation 5 − 3x = −7?
Step-by-step explanation:
5 − 3x = −7
=> 5 + 7 = 3x
=> 12 = 3x
\( = > x = \frac{12}{3} \)
=> x = 4 (Ans)
Given :
5 − 3x = −7⠀
To Find :
The required value of x .⠀
Solution :
\(\qquad \sf \: { \dashrightarrow 5 - 3x = - 7}\)
⠀
Adding (–5) to both sides :
\(\qquad \sf \: { \dashrightarrow 5 + ( - 5) \: − 3x = −7 + ( - 5)}\)
\(\qquad \sf \: { \dashrightarrow \: − 3x = - 12}\)
⠀
Dividing both sides by 3 :
\(\qquad \sf \: { \dashrightarrow \dfrac{ - 3x}{3} = \dfrac{ - 12}{3} } \)
\(\qquad \sf \: { \dashrightarrow − x = −4}\)
⠀
Cancelling (–) from both sides we get :
\(\qquad {\pmb {\bf{ \dashrightarrow x = 4}}} \\ \)
⠀
Therefore, The required value of x is 4.
A + B + C = 12
4A - 4B + 2C = -16 -
3A + 3B - C = 4
Solve the system
Answer:
Step-by-step explanation:
Add them all together which is
ABC124A4B2C-16-3A3B-C yep
53: PLEASE HELP Does -x+4y=-5 represents a direct variation?
Answer:
No, it does not.
Step-by-step explanation:
Immediately from the given equation, we can see that it has a constant (-5).
Direct variation equations are in the form y=kx, where k is an coefficient. There are no constants in direct variations.
Anybody know this ? Please help :(
Answer:
D
Step-by-step explanation:
5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50
Option D is the answer:
5.50, 5.75, 6.00, 6.25, 6.50...
This is my math homework it is do today plz help me i need it before 3:10 pm
use quizzes and type line plot and your question it helps alot
The table shown below represents a function. Which of the following values could not be used to complete the table?
Answer:
-5
Step-by-step explanation:
For a given x value a function can have only one y value.
-5 cannot have both 15 and 20 as the y value
what is the area of the triangle in square yards 10 3/4 yards and 7 yards
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
The total number of pages that he read will be 210 pages.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Based on the equation given, the equation to represent Amir's information will be:
y = 35 × x
y = 35x
Jesse's equation will be:
y = 30(x + 1)
Then, we'll equate both equations together. This will be:
35x = 30(x + 1)
35x = 30x + 30
35x - 30x = 30
5x = 30
x = 30/5
x = 6
Therefore, the number of pages read will be:
y = 35x
y = 35 × 6
y = 210 pages.
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Write down in terms of n, an expression for the nth term of the following sequence:
b) 12 16 20 24 28
Step-by-step explanation:
Since the sequence is linear, we start by finding the difference between any term and the following one:
16 - 12 = 4
Now we multiply the difference by n:
4n
Since 4n for the first number in the list is 8 too low, we calibrate the equation accordingly:
4n + 8
We can check this against any number in the sequence and it will give the same value, so we have out answer.
This is the same process used to work out any nth term which is linear.
nth term = 12 + 4(n-1)
Simplifying further:
nth term = 12 + 4n - 4
Combining like terms:
nth term = 4n + 8
Hence, the expression for the nth term of the sequence 12, 16, 20, 24, 28 is 4n + 8.
I Can Make it Simpler If you want , Just ask me In The Comments
""Ahmed Mansur"
The nth term of a sequence is -2n - 4. Work out the 50th term of the sequence.
Answer:
-104
Step-by-step explanation:
1) Substitute 50 into n.
-2(50) - 4
-100 - 4
-104
Determine if the function defines an inner product on R2 , where u = (U1, U2) and V = (V1' V2) . (Select all that apply._ (u, v) U1V1 A. satisfies (u, v) = (V, u) B. does not satisfy (u, v) = (v, u) C. satisfies (u, v w) = (u, v) (u, w) D. does not satisfy (u, v + w) (u, v) (4, w) satisfies c(u, v) (cu, E. does not satisfy c(u, v) (cu, F. satisfies (v, 2 0, and (V, =0 if and only if v = 0 G. does not satisfy (v, 2 0, and (V, = 0 if and only if v = 0
For the given function the correct options are A. satisfies (u, v) = (V, u) B. does not satisfy (u, v) = (v, u) C. satisfies (u, v w) = (u, v) (u, w) D. does not satisfy (u, v + w) (u, v) (4, w) satisfies c(u, v) (cu,.
What is function?
A function in mathematics is a connection between a set of input values (known as the domain) and a set of potential output values (known as the codomain). The crucial feature of a function is that each input value corresponds to precisely one output value.
The given function is (u, v) = U1V1.
To determine if this function defines an inner product on R2, we need to check if it satisfies the following properties:
A. (u, v) = (v, u) (symmetry)
B. (cu, v) = c(u, v) (linearity in the first argument)
C. (u, v + w) = (u, v) + (u, w) (additivity)
D. (u, u) ≥ 0, and (u, u) = 0 if and only if u = 0 (positive definiteness)
Let's check each of these properties:
A. (u, v) = U1V1 = V1U1 = (v, u)
Therefore, the function satisfies symmetry.
B. (cu, v) = c(U1V1) = cU1V1 = U1cV1 = (u, cv)
Therefore, the function satisfies linearity in the first argument.
C. (u, v + w) = U1(V1 + W1) = U1V1 + U1W1 = (u, v) + (u, w)
Therefore, the function satisfies additivity.
D. (u, u) = U1^2 ≥ 0 for all u ∈ R2.
Also, if (u, u) = 0, then U1^2 = 0, which implies U1 = 0, and hence u = (0, 0).
Therefore, the function satisfies positive definiteness.
Since the given function satisfies all the properties of an inner product, it defines an inner product on R2.
Answer: A, B, C, D
Therefore, for the given function the correct options are A. satisfies (u, v) = (V, u) B. does not satisfy (u, v) = (v, u) C. satisfies (u, v w) = (u, v) (u, w) D. does not satisfy (u, v + w) (u, v) (4, w) satisfies c(u, v) (cu,.
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The function defines an inner product on R2 that satisfies (a) and (f), but does not satisfy (b), (c), (d), or (e).
An inner product on a vector space V is a function that takes in two vectors u and v in V and returns a scalar (u,v) that satisfies certain properties. In this case, we are given a function that takes in two vectors u = (U1, U2) and v = (V1, V2) in R2 and returns the scalar (u,v) = U1V1.
To determine whether this function defines an inner product, we must check whether it satisfies the four properties of an inner product:
(a) Symmetry: (u,v) = (v,u) for all u, v in V.
This property is not satisfied because (u,v) = U1V1 and (v,u) = V1U1, which are not necessarily equal.
(b) Linearity in the first argument: (cu + dv, w) = c(u,w) + d(v,w) for all scalars c, d and all u, v, w in V.
This property is not satisfied because (cu + dv, w) = (cU1 + dV1)w = cU1w + dV1w, while c(u,w) + d(v,w) = cU1w + dV1w, which are not necessarily equal.
(c) Conjugate symmetry: (u,u) is a non-negative real number for all u in V, and (u,u) = 0 if and only if u = 0.
This property is not satisfied because (u,u) = U1², which can be negative if U1 is negative.
(d) Positive definiteness: (u,u) = 0 if and only if u = 0.
This property is not satisfied because (u,u) = U1², which can be 0 if and only if U1 = 0.
Therefore, the function does not define an inner product that satisfies properties (a), (b), (c), or (d).
However, the function does satisfy properties (f) and (g):
(f) Scalar multiplication: (cu, v) = c(u,v) for all scalars c and all u, v in V.
This property is satisfied because (cu, v) = cU1V1 = c(u,v).
(g) Bilinearity: (u + v, w) = (u,w) + (v,w) and (u, v + w) = (u,v) + (u,w) for all u, v, w in V.
This property is satisfied because (u + v, w) = (U1 + V1)w = U1w + V1w and (u, v + w) = U1(V1 + W1) = U1V1 + U1W1 = (u,v) + (u,w).
Therefore, the function defines an inner product on R2 that satisfies properties (f) and (g), but not properties (a), (b), (c), or (d)
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What’s the answer to the question
Answer:
Slope = -2, y-intercept = 12 (b)
Step-by-step explanation:
Using the slope formula:
slope = change in y (y2-y1) / change in x (x2-x1)
slope = (12-18)/(0+3)
slope = -6/3
slope = -2
The slope is -2
If you look in the table, when x=0, the y value equals 12. This means that the y-intercept = 12, since the y-intercept is when the x equals 0. Thus we have our answer.
Use a number line to add the following: 14 + (-11)
Add.
Adding a negative number is the same as subtracting a positive number.
14 + (-11) = 14 - 11
We start at the point 14 on a number line.
Since we are subtracting, we are going to left -11 units on the number line.
We will land on the point "3"
Best of Luck!
Solve for x in the figure. Assume the lines are parallel.
I HOPE IT WILL HELP YOU.
THANK YOU.
What is the value of the expression 3b+20 for b=30
Answer:
110
Step-by-step explanation:
3×30=90
90+20=110
hope this helps
plz can i get brainliest:)
25 = x + 3 one step equation TWO step equation
Answer:
x = 22
Step-by-step explanation:
rearange the equation to 25-3=x. 25-3 = 22, therefore x = 22
Answer: X =22
Step-by-step explanation: Switch sides x + 3= 25 then subtract 3 from both sides x + 3 - 3= 25-3 then simplify and you get X=22
What is the slope of the line?
-3/2
slope = rise/run
We can use the two points to calculate rise (y value change) and run (x value change)
slope = (-6)/4 = -3/2
Using the following equation , solve the equation graphically for integral values of x any.
Plot a graph of the equations and shade out the area which is not in the range of values.
1.
\(y \geqslant 0 , \\ x - y \geqslant 1 , 3x + 4y < 12\)
Answer:
See the attachedStep-by-step explanation:
y ≥ 0 - limits the region to first and second quadrantsx - y ≥ 1 ⇒ y ≤ x - 1 (region A on the graph)3x + 4y < 12 ⇒ y < - 4/3x + 4 (region B on the graph)Regions covered by each functions are shaded and the intersection also shaded and marked.
The white area in the graph is the out of range region.
Answer:
{(1, 0), (2, 0), (2, 1)}
Step-by-step explanation:
In the attached graph, the dashed lines are to be considered part of the unshaded area, hence in the solution set. The only points with integer coordinates in the solution set are the ones listed above.
1. What is the slope of a line that is perpendicular to the line represented by the equation 3x + 4y = 12?
A. 3/4
B. -4/3
C. 4/3
D. -3/4
a sum of money was divided between two friends, karen and Natasha in the ratio 2:5. If Natasha received $120 more than karen, find the sum of money shared
Answer:
$600
Step-by-step explanation:
Let x be the total amount divided
Karen gets (2/7) x
Natasha gets (5/7) x
(5/7) x = (2/7) x + 210
Multiply both sides by 7
5x = 2x + 1470
3x = 1470
x = 490
Natasha gets (5/7) (490) = 350
Karen gets (2/7)(490) = 140
The difference in ration is 5 - 3 = 2. So divide 150 by 2 to get the amount for each part of the ratio which is 75. the total ration is 3 + 5 = 8. So to get the total original sum of money, multiply 75 and 8 which is $600. for each person just multiply 75 with their respective ratios. For A: 75 X 3 = $225. For B: 75 x 5= $375. To check that it is correct add 225 and 375, and you should get 600.
according to my calculations, the starting amount will be 600
Answer:
$280
Step-by-step explanation:
Ratio = 2 : 5
Karen's Share = 2x
Natasha's share = 5x
Natasha received $120 more than karen.
5x = 2x + 120
5x - 2x = 120
3x = 120
x = 120/3
x = 40
Karen's share = 2*40 = $ 80
Natasha's share = 5*40 = $ 200
Sum of money = 80 +200 = $ 280
Which of the following represents the value of x
Answer:
wheres the pic
Step-by-step explanation:
Michael loves to run. It takes him 25.3 minutes to complete a 10 mile run. At this rate, how long would it take him to run 16 miles?
Answer:
0.632
Step-by-step explanation:
divide 16 ÷ 25.3 rurhrhr rhrhrhdh dhejejej ejehejeje behe
Which statement best describes the function h(t) = 210 - 15t?
Oh is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable.
O h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
O t is the function name; h(t) is the input, or independent variable; and h is the output, or dependent variable.
Ot is the function name; h is the input, or independent variable; and h(t) is the output, or dependent variable.
Answer:
h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
Step-by-step explanation:
The explanation is in the answer.
h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.
The given function is h(t) = 210 - 15t
The function is named h, and it takes an input value t (the independent variable) and produces an output value 15t (the dependent variable).
The function is often written as h(t) = 15t to make it clear that h is a function of t.
Hence, h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.
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