Answer:
≈ 38.89%Step-by-step explanation:
The cost is:
6.25 - 1.75 = 4.50Percentage gain:
1.75/4.50*100% ≈ 38.89%Derivatives concept:
Exercise "position and instantaneous velocity"
(Full development)
(A) The blue line has a slope of 5/2, red has slope 4/4 = 1, and purple has slope 3/9 = 1/3.
To find the slope, take any two points (a, b) and (c, d) on the line, then
slope = (d - b)/(c - a)
i.e. the ratio between the changes in the y and x coordinates.
(B) Each line has equation
• blue: y = 5/2 x
• red: y = x
• purple: y = 1/3 x
This follows from the general equation for a line with slope m and y-intercept b,
y = mx + b
or from the more general equation for a line with slope m passing through a point (a, b),
y - b = m (x - a)
(C) Consider the blue line. If you take units into account, its slope is
(5 units of distance)/(2 units of time) = 5/2 (units of distance/time)
which means, per unit time, some object travels a 5/2 units of distance, and this is the definition of speed.
(D) The competitor with the blue line, Mary, would win the race because their speed is the highest (5/2 > 1 > 1/3).
(E) Average velocity is defined as
v (ave) = ∆d/∆t = (change in distance)/(change in time)
At time 0, no one has moved yet. At time 4,
• Mary has covered a distance of 5/2 × 4 = 10, giving her an average velocity of (10 - 0)/(4 - 0) = 5/2
• Mike has covered a distance of 4, so his average velocity is (4 - 0)/(4 - 0) = 1
• Sam has covered a distance of 1/3 × 4 = 4/3, so his average velocity is (4/3 - 0)/(4 - 0) = 1/3
It's not a coincidence that the average velocities are the same as the slopes, because each racer travels at a constant speed.
(F) The racers' instantaneous velocities are the same as their respective average velocities, again because they are each moving at a constant speed.
What would happen if addition were not associative?
Select all that apply.
A. The sum of 0 and a number would not always result in that number
B. The basic addition facts would not be true.
C. Addends could not be arranged in groups that sum to 10s to make column addition easier.
D. Addends could only be added in order from left to right.
Answer:
B, C, and D........................
Solve the following proportion for y
y/9=13/11
Round your answer to the nearest tenth.
y=?
Answer:
y = 10.6
Step-by-step explanation:
We can solve using cross products
y 13
---- = ----
9 11
y*11 = 9*13
11y =117
Divide each side by 11
11y/11 =117/11
y=10.63636
To the nearest tenth
y = 10.6
The value of y using the proportion relation y/9 = 13/11 is 117/11.
Given Relation:
y/9 = 13/11
As, the proportion is the condition where two ratios are equivalent.
Now, solving the equation y/9 = 13/11 for y
First, cross multiply the equation
11y = 117
Now, divide both side by 11 gives
11y /11 = 117/ 11
y= 117 /11
As, there no common factor of 117 and 11.
Thus, the simplified value is 117.11
Learn more about Proportion here:
https://brainly.com/question/26974513
#SPJ6
A.) V’ (-3,-5), K’ (-1,-2), B’ (3,-1), Z’(2,-5)
B.) V’(-4, 1), K’(-2, 4), B(2,5) Z’ (1, 1)
C.) V’ (-3,-4), K’(-1,-1) B’ (3,0), Z’(2,-4)
D.) V’ (-1,0), K’ (1, 3), B’(5,4), Z’(4,0)
Answer:
C
Step-by-step explanation:
this is a "translation" - a shift of the object without changing its shadow and size.
this shift is described by a "vector" - in 2D space by the x and y distances to move.
we have here (1, 0) - so, we move every point one unit to the right (positive x direction) and 0 units up/down.
therefore, C is the right answer (the x coordinates of the points are increased by 1, the y coordinate are unchanged).
Consider the line L(t)=⟨5+t,1+5t⟩. Then:
Choose perpendicular, parallel or neither. (PS. Answers below may not be true.)
If L(t) = ⟨5 + t, 1 + 5t⟩, then the tangent vector to L(t) is
dL/dt = ⟨1, 5⟩
Any line parallel to L(t) will have the same tangent vector, up to some scalar factor (that is, if the tangent vector is a multiple of ⟨1, 5⟩).
Any line r(t) with tangent vector T(t) = dr/dt that is perpendicular to L(t) will satisfy
T(t) • ⟨1, 5⟩ = 0
• r(t) = ⟨-5, -2t, 1 - 10t⟩ is parallel to L(t) because its tangent vector is
T(t) = ⟨-2, -10⟩ = -2 ⟨1, 5⟩
• r(t) = ⟨1 + 1.5t, 3 + 7.5t⟩ is parallel to L(t) because
T(t) = ⟨1.5, 7.5⟩ = 1.5 ⟨1, 5⟩
• r(t) = ⟨-2 - t, 2 - 2t⟩ is neither parallel nor perpendicular to L(t) because
T(t) = ⟨-1, -2⟩ ≠ k ⟨1, 5⟩
for any real k (in other words, there is no k such that -1 = k and -2 = 5k), and
⟨-1, -2⟩ • ⟨1, 5⟩ = -1 - 10 = -11 ≠ 0
• r(t) = ⟨3 + 15t, -3t⟩ is perpendicular to L(t) because
T(t) = ⟨15, -3⟩
and
⟨15, -3⟩ • ⟨1, 5⟩ = 15 - 15 = 0
Probability that student was male or got an “B”
Answer:
3/23 = .13 = 13%
Step-by-step explanation:
Solve the equation.
0.50x +0.45(50) = 48.5
x=?
Answer:
x=52 Here is y
Step-by-step explanation:
Divide $180 in the ratio 7:2
[10pts]
Answer:
hope it helps
Step-by-step explanation:
What is the domain of the function in the graph?
Answer:
1≤x≤5
Step-by-step explanation:
The domain is the values for the inputs
The domain goes from 1 to 5
1≤x≤5
Will give brainliest
mplete the equation describing how
x and y are related.
Х
0 1
2
3
4
Y -1 3 7
11 15
y = 4x + [? ]
Enter the answer that belongs in [?]
Answer:
y = 4x + -1
Step-by-step explanation:
clearly seen.
a students cost for last semester at her community college was $2100. She spent $336 of that on books. What percent of last semesters college cost was spent on books?
Answer:
16%
Step-by-step explanation:
To find the percent, take the cost of the books over the total
336/2100
.16
Multiply by 100 to change to percent
16%
The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 5 inches more than 2 times the perimeter. Find the length and width of the rectangle
Answer:
Step-by-step explanation:
L = 4 + w
A = 2P - 4
lw = 2(2l +2w) - 4
lw = 4(l + w) - 4
(w+4)w = 4 ( w+4+w) -4
(w +4)w = 4(2w + 4) - 4
w^2 + 4w = 8w + 16 - 4
w^2 + 4w = 8w + 12
w^2 - 4w - 12 = 0
( w - 6 )( w + 2 ) = 0
w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60
w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected
Change the word phrase to an algebraic expression. Use x as the variable to represent the number.
16 subtracted from a number
Let x = the number.
16 subtracted from a number can be written as…
Answer:
I think the answer is
x-16
since 16 is subtracted from x.
I hope this helps
In 1815, Sophie Germain won a mathematical prize given by the Institut de France for her work on the theory of elasticity. The prize was a medal made of 1 kilogram of gold. How much is the medal worth today in U.S. dollars and in euros
Answer:
gold price : $58.72/gram
$58,720 per kilo(1000) grams
Step-by-step explanation:
find the h.c.f of 2⁴×3×5²×7,5²×3²×5
Answer:
To find the HCF we multiply the numbers in the overlapping quadrant together:
Step-by-step explanation:
Write 3^7/2 in surd form.
Answer:
[tex]\sqrt[2]{3^7}[/tex]
Step-by-step explanation:
[tex]\sqrt[2]{3^7}[/tex]
The top number is the power and the bottom of the fraction is the root
Find the value of each expression.
30 ÷ 3 × 2
Answer:
Step-by-step explanation:
1) First division has to be done.
2) After that multiplication has to be done.
30 ÷ 3 * 2 = 10 * 2
= 20
Answer:
20
Step-by-step explanation:
30 ÷ 3 × 2
(Since it’s division and multi platoon, we just go left to right)
10 × 2
20
Can someone help me with this?
Answer:
183.3 in^3
Step-by-step explanation:
Find the volume of the rectangular bottom
V = l*w*h
V = 5*5*6 =150 in^3
Find the volume of the triangular pyramid
V = 1/3 Bh where B is the area of the base and h is the height
V = 1/3 ( 5*5) * 4 = 100/3
Add the two volumes together
150 + 100/3
150 +33.3
183.3 in^3
Which group of numbers is ordered from LEAST to GREATEST?
Select one:
A.
246,263, 250,100, 250,000
B.
250,100, 246,263, 250,000,
C.
246,263, 250,000, 250,100,
D.
250,100, 250,000, 246,263,
What is the relationship between the value of the digit 3 in 4,231 and in the value of the digit 3 in the number 3,421?
A.
In 4,231, the value of the digit 3 is
1
10
the value of the digit 3 in 3,421.
B.
In 4,231, the value of the digit 3 is 10 times the value of the digit 3 in 3,421.
C.
In 4,231, the value of the digit 3 is
1
100
the value of the digit 3 in 3,421.
D.
In 4,231, the value of the digit 3 is 100 times the value of the digit 3 in 3,421.
Answer D
Step-by-step explanation:
looks right
You pay $16 to buy four pizzas, How much did each pizza cost?
Answer:
16 dollars = 4 pizzas
4 dollars = 1 pizza
Each pizza costs 4 dollars.
Let me know if this helps!
Answer: $4
Step-by-step explanation:
16 divided by 4, equals 4.
Nicole took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
9514 1404 393
Answer:
24 miles
Step-by-step explanation:
The total fare is the sum of the pickup fee and the mileage charge. For xx miles, the mileage charge will be 1.75xx, so the total is ...
1.75xx +2.90 = 44.90 . . . equation for xx
1.75xx = 42.00 . . . . . subtract 2.90
xx = 24 . . . . . . . . . divide by 1.75
The number of miles in Nicole's taxi ride was 24.
Geometry please help me!In the figure below, what value of x will satisfy the midsegment theorea? X=
Answer:
x=30.5
Step-by-step explanation:
Using midsegment 's theorea:
[tex]2=\dfrac{RG}{RS} =\dfrac{RH}{RQ} =\dfrac{GH}{SQ} \\\\4x-65=2x-4\\\\2x=61\\\\x=\dfrac{61}{2} \\\\x=30.5\\[/tex]
solve for x please help (show work)
Answer:
x = -1
Step-by-step explanation:
1/3(6x-3)+2(x-1) = -7
Distribute
2x-1 +2x-2 = -7
Combine like terms
4x -3 = -7
Add 3 to each side
4x-3+3 = -7+3
4x = -4
Divide by 4
4x/4 = -4/4
x = -1
[tex] \frak{ \frac{1}{3}(6x - 3) + 2(x - 1) = - 7}[/tex]
[tex]\twoheadrightarrow \frak{2x - 1 + 2x - 2 = - 7}[/tex]
[tex]\twoheadrightarrow \frak{4x - 3 = - 7}[/tex]
[tex] \twoheadrightarrow \frak{4x = - 7 + 3}[/tex]
[tex]\twoheadrightarrow \frak{4x = - 4}[/tex]
[tex]\star \: \underline{ \boxed{ \frak \green{{x = - 1}}}}[/tex]
Simplify this expression.
6 + 8 ÷ 2
3
7
10
12
Write the equation of the line described:
18. Slope 2, y-intercept is -4
(Show answer in slope-intercept form.)
Solving a word problem on proportions using a unit rate
Lucy made $95 for 5 hours of work.
At the same rate, how much would she make for 13 hours of work?
sl
X Х
5
?
Answer:
$247
Step-by-step explanation:
$95 = 5 h
1 h = 95 ÷ 5 = $19/h
$19 × 13h = $247
she would make $247 after 13 hours of work.
PLEASE HELP i’ll give brainliest to best and correct answer
Step-by-step explanation:
|- 9| + |- 3|
9 + 3
12
I hope this answers your question
Please help with this
Answer:
2. Not Divisible
3. Divisible
4. Divisible
5. Divisible
6. Not Divisible
7. Divisible
Step-by-step explanation:
Question 2. Is 629,257 divisible by 5?
- Numbers that are divisible by 5 should end with either 5 or 0.
- The ending term of [629,257] is 7, which is neither 5 nor 0. Therefore, it is not divisible.
Question 3. Is 3,791,916 divisible by 2?
- Numbers that are divisible by 2 should end with an even number or 0, which include 0, 2, 4, 6, 8.
- The ending term of [3,791,916] is 6, which is an even number. Therefore, it is divisible.
Question 4. Is 63,726,125 divisible by 5?
- Numbers that are divisible by 5 should end with either 5 or 0.
- The ending term of [63,726,125] is 5. Therefore, it is divisible.
Question 5. Is 486,342 divisible by 3?
- In numbers that are divisible by 3, the sum of all digits is a multiple of 3.
- The sum of all digits of [486,342] is [4 + 8 + 6 + 3 + 4 + 2 = 27].
- 27 / 3 = 9
- Since the sum of all digits is divisible by 3, then 486,342 is divisible by 3.
Question 6. Is 474,493 divisible by 10?
- Numbers that are divisible by 10 should end with 0.
- The ending term of [474,493] is 3, which is not 0. Therefore, it is not divisible.
Question 7. Is 53,017,587 divisible by 9?
- In numbers that are divisible by 9, the sum of all digits is a multiple of 9.
- The sum of all digits of [53,017,587] is [5 + 3 + 0 + 1 + 7 + 5 + 8 + 7 = 36].
- 36 / 9 = 4
- Since the sum of all digits is divisible by 9, then 53,017,587 is divisible by 9.
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 5 unit and the width is Fraction 1 over 5 unit, what is the perimeter of the rectangle in units?
Fraction 3 over 5 unit
1 unit
1Fraction 1 over 5 units
2Fraction 3 over 5 units
Answer:
Step-by-step explanation:
L = ⅖ unit
W = ⅕ unit
L+W = ⅗ unit
Perimeter = 2×⅗ = 6/5 units = 1⅕ units
Answer:
L = ⅖ unit
W = ⅕ unit
L+W = ⅗ unit
Perimeter = 2×⅗ = 6/5 units = 1⅕ units
Step-by-step explanation:
