Step-by-step explanation:
30,000 km × (4.8 L / 100 km) × ($1.45 / L) = $2088
30,000 km × (10 L / 100 km) × ($1.45 / L) = $4350
The difference is $4350 − $2088 = $2262.
What vector points from the origin to the point (3, -2, 3)?
PLEASE PLEASE HELP
Answer:
The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).
Step-by-step explanation:
Geometrically speaking, a vector is the change between a final point and a initial point. Since vector are located in space, the origin is represented by point (0, 0, 0) That is:
[tex]\vec v = (3,-2,3)-(0,0,0)[/tex]
[tex]\vec v = (3-0,-2-0,3-0)[/tex]
[tex]\vec v = (3,-2,3)[/tex]
The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).
To solve the problem we must know about Vector points.
PointA point is a position in space. It is represented by a dot.
VectorA vector is something that has both magnitude and direction but no fixed position in space. it is represented by an arrow pointing in a particular direction.
Vector pointsWhen we draw vectors, we attach them to specific points, but we should remember that the vector has no fixed position. These points are known as vector points.
The vector will point toward the point (3, -2, 3) in space.
Given to usvector points = (3, -2, 3)Origin, (0, 0, 0)SolutionAs we know a vector has no fixed position in space, but it points towards its final condition starting from the initial condition. Therefore, its tail is towards the initial condition while its arrowhead is towards the final condition. Thus,
Vector calculationFinal condition - Initial Condition
= (3, -2, 3) - (0, 0, 0)
= (3-0, -2-0, 3-0)
= (3, -2, 3)
Hence, the vector will point toward the point (3, -2, 3) in space.
Learn more about Vector Points:
https://brainly.com/question/11719219
company a operates stores under multiple banners in 34 states in the us a. how many states do not have a store operated by company a? b. what fraction of states do not have a store operated by company a?
Answers: 16 states and [tex]\frac{16}{50}[/tex]
Explanation:
Question A involves finding the number of states that do not have a store operated by company A. This can be easily found by subtracting the number of states where the company operates stores, which is 34 states, from the total of states, which is 50.
50 - 34 = 16
This means 16 states do not have a store operated by this company
Question B involves writing a fraction to represent the number of states that do not have a store operated by the company. A fraction includes a numerator (top number) that represents the parts selected (number of states without a store: 16), and a denominator, which is the total of parts (total of states: 50). Thus, the fraction is [tex]\frac{16}{50}[/tex]. Moreover, this can be simplified as [tex]\frac{8}{25}[/tex] by dividing both numbers by the seame number (2).
A radio station is having a T-shirt design contest. The first prize is four times the second prize. The second price is four times the third prize. The third price is $50. How much is the first prize?
Does anybody understand this?
Hurry maximum points!!
Answer:
Three collinear points
Step-by-step explanation:
AC's length has been given to us as 15 units and AB is 10 units so to find BC you will need to subtract AC from AB
so let's subtract
15-10
= 5 units
So , BC is 5 units !
option C!!!
Answer:
C. 5 UNITSStep-by-step explanation:
10 BC
A-----------B--------------C
|<-----------15------------>|
10 + BC = 15
BC = 15 - 10
BC = 5 UNITSHow many combinations are possible on a 4 number computer cable lock. each space can be any number 0-9 . The only exception is that all four numbers cannot be the same. How many combinations are possible ?
Answer:
5040
Step-by-step explanation:
Given
Digits: 0 - 9
Required
Number of combinations of 4 digits where no repetition is allowed
First, we need to count the number of digits
[tex]Number = 10[/tex]
Then, we perform the following analysis.
The first space can contain any of the 10 digits;
The second space can contain any of the remaining 9 digits;
The third space can contain any of the remaining 8 digits;
The fourth space can contain any of the 7 digits;
Hence; the umber of combination is
[tex]Number = 10 * 9 * 8 * 7[/tex]
[tex]Number = 5040[/tex]
Hence, there are 5040 possible combinations
PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!!
Choose one value that is in the domain of both ( ) = 2and 2 = and that is greater than 0. Substitute that value into ( ) = 2and 2 = and then simplify. Explain how your answers help to show that the graph on the left represents a function while the graph on the right represents a relation. Show your work and use function notation where possible
(ignore the little checks on the graph lol)
Heres a Simple Answer:
1. The one on the left follows the Vertical Line test, while the one on the right doesn't
2. A function is either y = mx+b, or a Nonlinear function. The one on the right is a Parabolic Function becuase it has the x^2 on it. The right one is y^2, which is not a function.
(Not very good, but I gtg so I rushed.)
In the space below, identify the rate of change using the statement: The rate of change is
for each
2
Pizzas Ordered
2
3
4
Total Cost
$19.98
$29.97
$39.96
Answer:57465
Step-by-step explanation:
Find the values for k so that the intersection of x = 2k and 3x + 2y = 12 lies in the first quadrant. PLEASSSSEEEE
Answer:
0< k < 2
Step-by-step explanation:
x = 2k
3x + 2y = 12
Substitute the first equation into the second equation
3(2k) +2y = 12
6k+2y = 12
Subtract 6k from each side
2y = 12 -6k
Divide by 2
y = 6 - 3k
For this to be in the first quadrant y > 0
6 - 3k > 0
6 > 3k
Divide by 3
2 > k
The lower limit is when it reaches the axis or when k=0
0 <k <2
Checking for x
x = 2k
If 0<k <2 then it will be in the first quadrant
Answer:
k = any value between 0 and 2
Step-by-step explanation:
We can start by considering the graph of 3x + 2y = 12. If you convert this line into point - slope form it will have a negative slope, and hence will extend infinitely in the negative direction. Therefore if we calculate the x - intercept, k will be bound by 0 to the x - intercept if their intersection lies in the first quadrant.
3x + 2y = 12,
3x + 2(0) = 12,
3x = 12,
x = 4 - this is the x - intercept
As x = 4 is the x - intercept, k can be any value between 0 and 4, and will lie in the first quadrant. But remember that we have the equation " x = 2k. " k will only be between 0 and 4 is the equation is " x = k. "
- Therefore k will instead be any positive value between 0 and 2.
Is this answer correct?
Answer:
No, correct answer is D
Step-by-step explanation:
x² = 81/144
the squared sign crosses over and becomes root
x = √81/144
x = 9/12
x = 3/4
D
The coordinates of points A and B are A(4, -2) and B(12, 10). What are the coordinates of the point that is 1/4
of the way from A to B?
Answer:
[tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]
Step-by-step explanation:
Given
A = (4,-2)
B = (12,-10)
Ration = 1/4
Required
Determine the coordinate of point at 1 million buys
The formula to use is as follows:
[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where m and n are the ratios
i.e.
[tex]\frac{m}{n} = \frac{1}{4}[/tex]
Convert to ratios
[tex]m:n = 1:4[/tex]
Considering A(4,-2) and B(12,10); we have
[tex](x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
[tex](x,y) = (\frac{1 * 12 + 4 * 4}{4+1},\frac{1*10 + 4*-2}{4+1})[/tex]
[tex](x,y) = (\frac{12 + 16}{5},\frac{10 -8}{5})[/tex]
[tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]
Hence, the coordinate of the point is [tex](x,y) = (\frac{28}{5},\frac{2}{5})[/tex]
Situation 1: Two students, Theo and Lance, each have some chocolates. They know that
they have the same number of chocolates. Theo has four full bags of chocolates and five
loose chocolates. Lance has two full bags of chocolates and twenty-nine loose
chocolates.
Determine the number of chocolates in a bag. Determine the number of chocolates each
child has.
They each have two chocolates so those numbers of chocolates are the same.
Not counting the tubs, Arthur has one bag of chocolates and 25 loose chocolates; Oliver has two bags and 7 loose. If they both have the same total number of chocolates, then the difference in the number of loose chocolates they have (25-7=18) must be the number of chocolates in a bag.
There is no information given, in the problem as you show it, that allows us to determine the number of chocolates in a tub.
Answers: chocolates in a bag: 18. chocolates in a tub: unknown.
173.45 = 1.7345 × 10? missing number
[tex]173.45 = 1.7345 × {10}^{2} [/tex]
missing number should be 2
hope this helps ^-^
why
[tex] \frac{1}{ \sqrt{3 } - 1} \times \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1} = \frac{1 + \sqrt{3} }{2} [/tex]
why not 1+✓3 ?
Answer:
Hey there!
When multiplying fractions, we multiply the numerator by the numerator, and denominator by denominator.
1 x [tex]\sqrt{3}+1[/tex] = [tex]\sqrt{3}+1[/tex]
[tex]\sqrt{3} -1 (\sqrt{3} +1)[/tex] = 2
Thus, the answer is ([tex]\sqrt{3}+1[/tex])/2
Let me know if this helps :)
Suppose you want to throw a party. you have $214 to spend. so far you have purchased 5 decorations that each cost d dollars. which expression represents the amount of money that you have left to spend?
Answer: 214 - 5d
Which of the following real-world scenarios could be represented by the algebraic expression 7.65 - 2p? Select all that apply.
Answers:
1) You buy 2 equally priced party favors, spending from your $7.65 gift card.
4) you give Tim twice the amount of face paint he had from your supply of 7.65 ounces.
You decide to order pizzas for your party. A large pizza is cut into 12 slices. If each pizza is shared evenly among G guests, which expression represents the number of slices that each guest will eat?
Answer: 12/g
(these are the rest of the answers for the rest of the 7 slides of "Writing expression" assignment on e2020
4th: $25 dollars is the constant team so the cost for h hours is 15h and the correct expression is 15h+25 and 15(h+25) would be interpreted as adding 25 hours to the number of hours rented, and then multiplying by 15.
5th: m + 2m - s
6th: No it's not true. Each table began with x/8 balloons. If two pop then you will not be able to distribute it equally among 8 tables. There are x/8 - 2 balloons left. Not all tables will be equal.
7th: n - (1/4)n - 15
8th: 12n/r
9th: (x+3)/5
10th: (3r)/2 is what the second DJ had. 3 times as many songs as 3r and half as many is translated as division to 2 so half as many is translated as multiplication by 1/2. So therefore, the second DJ had (3r)/2 songs.
Answer: 214 - 5d
Which of the following real-world scenarios could be represented by the algebraic expression 7.65 - 2p? Select all that apply.
Answers:
1) You buy 2 equally priced party favors, spending from your $7.65 gift card.
4) you give Tim twice the amount of face paint he had from your supply of 7.65 ounces.
You decide to order pizzas for your party. A large pizza is cut into 12 slices. If each pizza is shared evenly among G guests, which expression represents the number of slices that each guest will eat?
Answer: 12/g
(these are the rest of the answers for the rest of the 7 slides of "Writing expression" assignment on e2020
4th: $25 dollars is the constant team so the cost for h hours is 15h and the correct expression is 15h+25 and 15(h+25) would be interpreted as adding 25 hours to the number of hours rented, and then multiplying by 15.
5th: m + 2m - s
6th: No it's not true. Each table began with x/8 balloons. If two pop then you will not be able to distribute it equally among 8 tables. There are x/8 - 2 balloons left. Not all tables will be equal.
7th: n - (1/4)n - 15
8th: 12n/r
9th: (x+3)/5
10th: (3r)/2 is what the second DJ had. 3 times as many songs as 3r and half as many is translated as division to 2 so half as many is translated as multiplication by 1/2. So therefore, the second DJ had (3r)/2 songs.
Step-by-step explanation:
Answer:
214-5d
Step-by-step explanation:
What is the answer ?
third picture shows cube root of 64=4
Some fireworks are fired vertically into the air from the ground at an initial velocity of 24.5 meters per second. Find the highest point reached by the firework – just as it explodes. Include your equation in your response. Don't forget to include units!
Answer:
The highest point reached by the firework is approximately 30.6 meters
Step-by-step explanation:
The upward velocity of the fireworks is given as 24.5 m/s
The equation of projectile motion for an object fired vertically upwards can be written as follows;
v² = u² - 2·g·s
Where;
v = The final velocity of the motion = 0 m/s at maximum height
u = The final velocity of the motion = 24.5 m/s
g = Acceleration due to gravity = 9.81 m/s²
s = The height reached = (The highest point reached by the firework)
By substituting the values, we have;
(0 m/s)² = (24.5 m/s)² - 2 × 9.81 m/s² × s
Which gives;
2 × 9.81 m/s² × s = (24.5 m/s)² = 600.25 m²/s²
19.62 m/s² × s = 600.25 m²/s²
s = 600.25 m²/s²/(19.62 m/s²) = 30.594 m ≈ 30.6 meters
The highest point reached by the firework is approximately 30.6 meters
The expression, 20(4x) + 500, represents the cost in dollars of the materials and labor needed to build a square fence with side length x feet around a playground. What is the meaning of the coefficient 20?
Answer:
20 represent the cost per variable inputs
Step-by-step explanation:
C(x) = 20(4x) + 500
Total cost is the addition of variable cost and fixed cost
Fixed cost are cost that do not change during the production process such as machinery, furnitures and fittings.
Variable cost are cost of production that changes with production process such as cost of labor, cost of raw materials.
C(x) = 20(4x) + 500
C(x) represent the total cost
20(4x) represent the variable cost
500 represent the fixed cost
From the variable cost 20(4x)
20 represent the cost per variable inputs
Look at the screenshot below and please try to answer!!
Answer:
4th and 5th figures are attached below. There would be about 400 dots in the 100th figure.
What is the value of x in the equation 1/2x - 2/3y=30 when y =15
Answer:
x=20
Step-by-step explanation:
Substitute 15 for y
it will be 2/3 multiplied by 15 then you get 10
you add 10 to 30 getting 40
then you divide 40 by 1/2 getting 20
:)))
Answer:
x = 80
Step-by-step explanation:
First, plug the 15 into the y.
[tex]1/2x - 2/3(15) = 30[/tex]
Use PEMDAS to solve the parentheses, 2/3 of 15 is 10.
[tex]1/2x - 10 = 30[/tex]
Add 10 to both sides of the equation.
[tex]1/2x = 40[/tex]
Divide each side by 1/2 (or multiply by it's reciprocal, which is 2)
That will get you your answer of x = 80
How do I simplify this question 2y+4-13-y
Answer:
Y=9
Step-by-step explanation:
Answer:
Y=9 is your answer
Solve using the quadratic formula. Write answers as an exact value and as a decimal rounded to the nearest hundredth.
4r2 + 8r + 1 = 0
Answer:
[tex]\frac{-2±\sqrt{3} }{2}[/tex]
dec form: -0.13
Step-by-step explanation:
A reflection will _________ change the size of a figure. * A Always B Sometimes C Never
Answer:
never
Step-by-step explanation:
Reflections do not change the size or shape, just the location of the figure
what is 65550 times 43343
Solve for . 5w-26=-4(w-7) Simplify your answer as much as possible. PLZ HELP
Answer:
w = 6
Step-by-step explanation:
5w-26 = - 4 (w - 7) multiply -4 through
5w - 26 = - 4w + 28 add 4w to each side to cancel it out on the right
5w + 4w - 26 = 28
9w - 26 = 28 Now add 26 to each side
9w - 26 + 26 = 28 + 26
9w = 54 Now divide each side by 9
(9w)/9 = 54/9
w = 6
A box has dimensions of 17 inches long, 1.3 feet wide, and 8 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h. Please show how you got the answer. 2121.6 cubic inches (in3) 176.8 cubic inches (in3) 14.7 cubic inches (in3) 1.2 cubic inches (in3)
Answer:
176.8
Step-by-step explanation:
If you multiply all three numbers you get 176.8
What is 18 3/8 as a decimal I really need help
Help...!!!!!!!!
Please...!!!!!!!!!
It’s for today...!!!!!
2c - 49 -200 for problem a
c + 64c -200 is problem b
What is 4.5(5.6*2)+1.2?
Hi there! Hopefully this helps!
---------------------------------------------------------------------------
Answer: [tex]\boxed{51.6}[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]4.5(5.6 \times 2) + 1.2[/tex]
Multiply 4.5 and 5.6 to get 25.2.
[tex]25.2 \times 2 + 1.2 = 51.6[/tex]
Multiply 25.2 and 2 to get 50.4
[tex]50.4 + 1.2 = 51.6[/tex]
Add 50.4 and 1.2 to get, you guessed it, 51.6![tex]\boxed{51.6}[/tex]
To solve this, we will first use order of operations to multiply the terms inside the parentheses, multiply the product by the term outside of the parentheses, and then add from left to right.
5.6 * 2 = 11.2
11.2 * 4.5 = 50.4
50.4 + 1.2 = 51.6
Therefore, 51.6 is the solution.
ΔABC ~ ΔDEF. What is the length DF?
ΔABC ~ ΔDEF
that means the ratio of DF to AC = the ratio of DE to AB
[tex]x:3.5 \\6:4[/tex]
cross multiply
[tex]4x=6(3.5)\\4x=21\\x=\frac{21}{4}\\ x= 5.25[/tex]
so DF = 5.25 cm
PLEASE HELP MEEEEE!!!
Answer:
y = 5 units
Step-by-step explanation:
It is given from the image that both the polygons are similar.
Corresponding sides of the similar polygons will be proportional.
By this property ratio of the sides of the given polygons will be,
[tex]\frac{4}{x}=\frac{z}{9}=\frac{2}{6}=\frac{3}{w}=\frac{y}{15}[/tex]
We have to find the value of y.
Therefore, we will take the ratio,
[tex]\frac{2}{6}=\frac{y}{15}[/tex]
y = [tex]\frac{2\times 15}{6}[/tex]
y = 5
Measure of side y = 5 units will be the answer.