Answer:
the linkage between both the number of months and the amount charged is proportional to both loans from Hank and Lynn.
Step-by-step explanation:
The relationship between the number of months and the total cost paid proportionally is shown below:-
Both Hank and Lynn pay off car loans.
When Hank bought his car, he paid $2,000 in advance, and he needs to pay $200 each month.
Thus, forward to x months the total cost paid (C(h)) is
C(h) = 2000 + 200x ... (i)
So, that relationship is proportional, but not proportional directly.
When Lynn purchased her vehicle, she didn't pay any cash immediately front and she needs to pay $275 every month.
So, after x months the total amount paid (C(l)) is
C(l) = 275x ..... (ii)
This is, therefore, a direct proportionality that is also proportional.
Furthermore the linkage between both the number of months and the amount charged is proportional to both loans from Hank and Lynn.
Answer: The relationship between the number of months and the total amount paid for both Hank and Lynn's loans is proportional.
Step-by-step explanation:
Can you help me with this derivatives? Thanks
Assuming a is constant and you want the derivatives with respect to t, we have by the chain rule
[tex](a\cos^3t)'=3a\cos^2t(\cos t)'=-3a\cos^2t\sin t[/tex]
[tex](a\sin^3t)'=3a\sin^2t(\sin t)'=3a\sin^2t\cos t[/tex]
Then for the second derivatives, we use the chain and product rules together:
[tex](a\cos^3t)''=(-3a\cos^2t\sin t)'=-6a\cos t\sin t(\cos t)'-3a\cos^3t[/tex]
[tex](a\cos^3t)''=3a\cos t(2\sin^2t-\cos^2t)[/tex]
[tex](a\sin^3t)''=(3a\sin^2t\cos t)'=6a\sin t\cos t(\sin t)'-3a\sin^3t[/tex]
[tex](a\sin^3t)''=3a\sin t(2\cos^2t-\sin^2t)[/tex]
At the city museum, child admission is 5.50 and adult admission is 8.8 . On Thursday, three times as many adult tickets as child tickets were sold, for a total sales of 663.60 . How many child tickets were sold that day?
Answer:
78
Step-by-step explanation:
Adult tickets = x
Child tickets = 3(Adult tickets) = 3x
The cost of child admission is $5.50, and the cost of adult admission is $8.80. Multiply the cost of admission by the variables and set equal to the total sales.
8.8(x) + 5.5(3x) = 663.6
8.8x + 16.5x = 663.6
25.3x = 663.6
x = 26
Child tickets = 3x
Child tickets = 3(26)
Child tickets = 78
78 child tickets were sold that day.
The sum of first an arithmatic sequence is 3n squared plus 4n what is first term
Answer:
The formula says that the sum of the first n terms of our arithmetic sequence is equal to n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.
Step-by-step explanation:
Collect population of states of India or of 10 large cities or of 10 countries and write them in words/Indian/ International both.
Step-by-step explanation:
Indian States
Rajasthan Madhya Pradesh Maharashtra Uttar Pradesh Gujarat Karnataka Andhra Pradesh Odisha Chhattisgarh Tamil NaduWhich operation must be used to solve this equation?
x – 5 = 23
A: Addition
B: Subtraction
C: Multiplication
D: Division
Answer:
addition
Step-by-step explanation:
as x=23+5
x=28.
I think so this is the ans.
replace __ in 2/7=8/?
Answer:
_ is equal to 28
Step-by-step explanation:
numerator is multiplied by 4, therefore, due to the equal sign, the denominator must also by multiplied by 4
hope you understand...............................................................................
The diagonals of a rhombus are 16cm and 12cm long.Calculate the length of its side
Answer:
10 cm
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other.
All sides are congruent.
The diagonals divide the rhombus into 4 congruent right triangles.
Applying Pythagoras' identity to 1 of the triangles with legs 6 and 8 and hypotenuse the side s of the rhombus, then
s² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
s = [tex]\sqrt{100}[/tex] = 10
PLEASE HELP FAST!!! While bisecting a line segment, Kara has just drawn two arcs, one passing through each endpoint. Which of the following should she do next?(1 point)
Kara should draw the line segment.
Kara should now open the compass a little wider than half the length of the segment.
Kara should plot points where the arcs intersect above and below the line segment.
There is nothing left to do, as Kara has finished bisecting the line segment
Answer:
Kara should plot points where the arcs intersect above and below the line segment.
Step-by-step explanation:
The bisection of a line segment is the dividing of the line segment into two equal parts. To bisect a line segment, you have place your compass on the endpoints and measure a distance greater than half of the segment. The point of intersection of the arcs both above and below the segment is then joined thereby bisecting the line.
Since Kara has already drawn the two arcs which are greater that half of the length, all Kara needs to do is plot points where the arcs intersect above and below the line segment.
For the question 2.3 x 0.123, the answer will be to which place value?
tenths
hundredths
thousandths
ten-thousandths
0.2829
Step-by-step explanation:I think it would be thousandths I'm pretty sure :)
Zack wants his rectangular garden to be 8 feet longer than it is wide and for its area to be less than or equal to 660 ft2. What are the possible values for the length of his garden in feet (x)?
Answer:
L≤30ft
Step-by-step explanation:
The area of the garden A = Length(L)*Width(W)
If Zack wants his rectangular garden to be 8 feet longer than it is wide, then
L = 8+W
Also, if he wants the area to be less than or equal to 660 ft², the A ≤ 660
LW≤660 ........1
(8+W)W ≤ 660
W²+8W-660≤0
W²+30W-22W-660≤0
W(W+30)-22(W+30)≤0
(W-22)(W+30)≤0
W-22≤0
W≤22 (neglecting the positive value)
Substituting W = 22 into equation 1
22L≤660
L≤660/22
L≤30
Hence the possible values for the length of his garden in feet are values less than and equal to 30 feet.
Answer:
The correct answer is A 8 < x ≤ 30
Step-by-step explanation:
Good luck!!
T = WP [ M² - ( M-S)² ]
Answer:
W PM^2 − WP(M−S)^2=T
Step-by-step explanation:
this is what mathaway said
PLEASE HELP ME VERY QUICKLY! IM SO CONFUSED.
Answer:
∠ABC = 34°
∠DBC = 44°
Step-by-step explanation:
The angle sum theorem tells you ...
(5x+4) +(5x-6) = 78
10x = 80 . . . . . . . . . . add 2 and simplify
x = 8
Then the two angles are ...
∠ABC = 5(8) -6 = 34°
∠DBC = 5(8) +4 = 44°
Question 10
If QR=16 and PR=95, find PQ.
Answer:
Okay, so the picture is a different question than the text.
The answer to the picture is:
67
The answer to the text is:
79
Step-by-step explanation:
I'll explain the picture one.
The line PQR can be represented as [tex]PQ + QR=PR[/tex]. Since we already know the measure of QR and PR, we can substitute inside the equation to try and find PQ.
[tex]PQ + 21 = 88[/tex]
Our goal is to isolate PQ on one side.
To do this we can subtract 21 from both sides.
[tex]PQ + 21 - 21 = 88-21\\\\PQ=67[/tex]
Hope this helped!
Answer:
PQ = 79
Step-by-step explanation:
PQ + QR = PR
PR - QR = PQ
95 - 16 = 79
OA) 30°
O B) 60°
D) 50°
OC) 90°
Answer:
A
Step-by-step explanation:
We know that the sum of interior angles in a triangle is 180°. Looking at ΔWYZ, we can write:
? + 75 + 75 = 180
? + 150 = 180
? = 30°
The three inside angles of a triangle need to equal 180 degrees.
You are given the bottom two angles.
75 + 75 = 150
WYZ = 180 - 150 = 30
The answer is 30 degrees.
?
12
Find the arc length of the semicircle.
Either enter an exact answer in terms of ar or use 3.14 for at and enter your answer as a decimal.
units
Answer:
6π
Step-by-step explanation:
Hope this helps!
A circle is a curve sketched out by a point moving in a plane. The arc length of the semicircle is 18.85 units or 6π units.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The length of the arc on any semicircle is half the length of the circumference of the circle with the same radius.
Given the length of the diameter of the semicircle is 12 units. Therefore, the circumference of the circle with a diameter of 12 units is,
Circumference = π × Diameter
= π × 12 units
= 12π units
Now, the arc length of the semicircle is,
Length of the semicircle = Circumference /2
= 12π /2 units
= 6π units
= 18.85 units
Hence, the arc length of the semicircle is 18.85 units or 6π units.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ5
Find the coordinates of the image of (1, 4) under
(a) a clockwise rotation of 90° about (0,0).
(b) a reflection in the line y=x,
(c) a translation which maps (5,3) onto (1,1).
plz help!
will give the brainliest!
Urgent!!
Answer:
a) (4,-1)
b) (4,1)
c). (6,4)
3. (01.05)
Which of the following best represents the average rate at which a person can quickly walk? (2 points)
3 steps per hour
3 steps per second
30 steps per minute
30 steps per second
Answer:
3 steps per second.
Step-by-step explanation:
3 steps per hour are way too slow.
30 steps per minute are too slow as well, that's half a step per second.
30 steps per second, is too fast, until your the Flash or something.
In this activity, you'll create a linear equation to represent a real-world situation and then use it to solve a problem. Read the situation, and then answer the questions that follow.
Answer:
Price of copy = $5
Step-by-step explanation:
Situation:
Tommy purchases five copies and five pencils. He gives $130 to the shopkeeper.
If the price of a pencil is $13, find the price of a copy.
Assume
Number of copy = 5
Number of pencil = 5
Price of copy = x
Price of Pencil = $13
So,
5(x) + (5)(13) = 130
6(x) + 65 = 130
x = 5
So,
Price of copy = $5
The sum of three consecutive odd numbers is 93. What is the smallest of these numbers?
Answer:
30+31+32 =93. Smallest is 30
Answer:
31
Step-by-step explanation:
Let the three unknown numbers be x+x+x
[tex]x+x+x =93\\3x = 93[/tex]
Divide both sides by 3
[tex]\frac{3x}{3} = \frac{93}{3} \\\\x = 31\\\\[/tex]
The numbers are 31 , 33,35
Between which two consecutive whole numbers does \sqrt{78} 78 lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{78} 78 to an approximately correct location on the number line.
Answer:
A. 8 and 9
Step-by-step explanation:
Between which two consecutive whole numbers does √ 78 lie?
a.
8 and 9
b.
6 and 7
c.
9 and 10
d.
7 and 8
A. 8 and 9
8^2 = 8 × 8 = 64
9^2 = 9 × 9 = 81
B. 6 and 7
6^2 = 6 × 6 = 36
7^2 = 7 × 7 = 49
C. 9 and 12
9^2 = 9 × 9 = 81
12^2 = 12 × 12 = 144
D. 7 and 8
7^2 = 7 × 7 = 49
8^2 = 8 × 8 = 64
The correct answer is A. 8 and 9
evaluate the expression for x=3 and y=-6
3x+4y
Answer:
-15
Step-by-step explanation:
given 3x+4y
when x = 3 and y = -6
3x+4y
= 3(3)+4(-6)
= 9 - 24
= -15
Answer:
The answer is - 15Step-by-step explanation:
3x + 4y
When
x = 3
y = - 6
Substitute these values into the above expression and solve
We have
[tex]3(3) + 4( - 6) \\ = 9 - 24[/tex]
We have the final answer as
- 15Hope this helps you
please someone help me . ?2^3(2-4)+5(3-8)
There are 3 triangles 6 squares what is the simplest ration of the triangles to total shape
Answer:
it either can be 3:6 or 6:3 but I think its 3:6
Answer:
1 : 3.
Step-by-step explanation:
The total number of shapes is 3 + 6 = 9.
So triangles : total shapes = 13 : 9
= 1 : 3.
1 + 8x + 5 -4x = 2(x-3) - 2(x-2)
Answer:
x = -2
Step-by-step explanation:
Eliminate parentheses and collect terms.
1 +8x +5 -4x = 2(x -3) -2(x -2) . . . . . given
6 +4x = 2x -6 -2x +4
6 + 4x = -2
4x = -8 . . . . . subtract 6
x = -2 . . . . . . divide by 4
The 2nd and 3rd terms in the following algebraic sequence are x and y. Write down algebraic expressions for the first, fourth and fifth terms.
Answer:
see explanation
Step-by-step explanation:
To obtain a term in the sequence add the previous 2 terms, that is
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + [tex]a_{n-2}[/tex] ← in general terms
(a)
Given 1 4 5 9 14
Then the next 2 terms are 9 + 14 = 23 and 23 + 14 = 37
(b)
Given a₄ = 30 and a₅ = 49 , then
a₃ = 49 - 30 = 19
a₂ = 30 - 19 = 11
a₁ = 19 - 11 = 8
Sequence is 8 11 19 30 49 ....
(c)
Given a₂ = x and a₃ = y , then
a₁ = y - x
a₄ = a₃ + a₂ = y + x
a₅ = a₄ + a₃ = y + x + y = 2y + x
The average speed to go by car from home to college is 30 miles per hour. The average speed to go back home from college is 20 miles per hour because of traffic. If the college is 60 miles from home, what is the average speed for the entire round trip? What is the average speed if the college is 40 miles from home?
Answer:
24 mph for both 60 miles and 40 miles.
Step-by-step explanation:
We need to find how long it takes to get to college and from it.
Speed x time (x) = Distance (60)
30x = 60
x=2
It takes two hours to get to college
20x = 60
x = 3
It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average
30+30+20+20+20=120
120/5= 24
The average speed for the round trip is 24.
To do the second part, we follow the same process, but replace 60 with 40 for distance.
30x=40
x= 1.33
20x=40
x=2
We can add the total distance and divide by total time to find the average.
The total distance is 80. Time is 3.33
80/3.33=24
The average speed is still 24.
Each side of a quilt square measures approximately 4.25 inches. If there are about 2.54 centimeters in 1 inch, how long is each side of the square in centimeters? Express your answer using the appropriate level of accuracy and use complete sentences to explain your reasoning.
Answer:
Each side of the square in centimetres = 10.80 centimetres
Step-by-step explanation:
To convert from one unit to another or in between units we make use of conversion factors or conversion formulas
The conversion factor for the conversion of units in centimetres to units in inches is given as about 2.54 centimetres being equivalent to 1 inch
Therefore;
1 inch = 2.54 centimetres
4.25 inches = 2.54 × 4.25 = 10.795 ≈ 10.80 centimetres
Therefore, each side of the square in centimetres = 10.80 centimetres.
A number y decreased by 11 is 4 HELP!!!!!!!!!!!!!!
Answer:
equation is y-11 =4
so the number is 15. thats all
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
please help me on number 3
Answer:
D
Step-by-step explanation:
Well the total angle is of measure 8x+2 and
the bisected angle is of 5x-3 so that means
(8x+16)/2=5x-3
4x+8=5x-3
x=11°
so 5(11)-3=52° this is because the bisected angles are the same
BED=REB
The world record for the greatest temperature range recorded in one day occurred in Browning,Montana in 1916.The temperature fell from 44°F to -56°F.What was the temperature change that day?
Answer:
-100 F
Step-by-step explanation: