Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
Answer:
C. Yes, 3.5.
Step-by-step explanation:
If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ([tex]k[/tex]) is described by the following expression:
[tex]k = \frac{y}{x}[/tex] (1)
Where:
[tex]x[/tex] - Input.
[tex]y[/tex] - Output.
If we know that [tex](x_{1}, y_{1}) = (13, 45.5)[/tex], [tex](x_{2}, y_{2}) = (14, 49)[/tex] and [tex](x_{3}, y_{3}) = (15, 52.5)[/tex], then the constants of proportionalities of each ordered pair are, respectively:
[tex]k_{1} = \frac{y_{1}}{x_{1}}[/tex]
[tex]k_{1} = \frac{45.5}{13}[/tex]
[tex]k_{1} = \frac{7}{2}[/tex]
[tex]k_{2} = \frac{y_2}{x_2}[/tex]
[tex]k_{2} = \frac{49}{14}[/tex]
[tex]k_{2} = \frac{7}{2}[/tex]
[tex]k_{3} = \frac{y_{3}}{x_{3}}[/tex]
[tex]k_{3} = \frac{52.5}{15}[/tex]
[tex]k_{3} = \frac{7}{2}[/tex]
Since [tex]k_{1} = k_{2} = k_{3}[/tex], the constant of proportionality is 3.5.
SOLVE URGENT CORRECT ANSWER WILL GET BRAINLIEST
Answer:
8.
a) f'x means you find the derivative.
2 * d/dx x^2 -b * d/dx x + d/dx c
use power rule x^2 = 2x^1
2*2x = 4x. the derivative of the differentiation variable, x is 1 and the derivative of a constant, c is 0
4x-b+0
4x-b is our derivative
(I am still figuring out b and c, I will edit this answer and put the solution for b and c.)
Step-by-step explanation:
Mr. Jackson orders a lunch special. The cost of each lunch is $6.00. The delivery man charges $2.00 for delivery. Complete the table below and write an expression to determine "Cost of ordering "AND" lunches.
Answer:
$8.00
$32.00
$62.000
N.$6.00 + $2.00
Step-by-step explanation:
If a = 5 and b
6, evaluate the following expression:
3a - 26
Step-by-step explanation:
3a-26
3(5)-26
15-26
=-11
Answer:
[tex]3a - 26 \\ 3 \times 5 - 26 \\ 15 - 26 \\ = - 11[/tex]
Condense the expression into a
single logarithm and simplify.
2log10x + + log105
Answer:
log10( 5x^2)
Step-by-step explanation:
2 log10 (x) + log10 (5)
we know that c loga (b) = log a (b^c)
log10 x^2 + log10 (5)
We also know that logc a + logc b = logc (ab)
log10 (x^2* 5)
log10( 5x^2)
I need help............
Problem 35
The bar graph is shown below
You simply draw various rectangles such that the heights represent the frequency of each animal type.
Eg: there are 20 elephants, so the "elephant" bar is 20 units tall.
You can make the bar graph by hand, or use spreadsheet software. I recommend going with software (if you can).
=======================================================
Problem 36
1 book = 20 mm thickness
5 books = 5*20 = 100 mm thickness
1 paper = 0.016 mm thickness
5 papers = 5*0.016 = 0.08 mm thickness
total thickness = 100+0.08 = 100.08 mm
Answer: 100.08 mm=======================================================
Problem 37
121/11 = 11
121 = 11*11
If we say 11+11+11+...+11, and have 11 copies of these values added, then we get to a sum of 121
This is probably the easiest way to get the answer assuming repeated values are allowed.
You can stop here if your teacher allows you to use repeated values. If not, then move onto the next section.
-----------
If your teacher requires you to add 11 different numbers, then you can follow this procedure
Write out eleven copies of "11" in a sequenceSubtract 2 from the first "11" (to get 9) and add it to the last copy of "11" (to get 13)Subtract 4 from the second "11" (to get 7) and add it to the second to last copy of "11" (to get 15)Subtract 6 from the third "11" (to get 5) and add it to the third to last copy of "11" (to get 17)Subtract 8 from the fourth "11" (to get 3) and add it to the fourth to last copy of "11" (to get 19)Finally, subtract 10 from the fifth "11" (to get 1) and add it to the fifth to last copy of "11" (to get 21)After carefully following those steps, you'll get this sequence (in the exact order shown):
{9, 7, 5, 3, 1, 11, 21, 19, 17, 15, 13}
There are three properties to notice of this sequence
It's composed of two decreasing arithmetic sequences {9, 7, 5, 3, 1} and {21, 19, 17, 15, 13}The 11 in the middle hasn't been changed from the original sequence of nothing but "11"s.You should find that the terms of this new sequence add to 121.That sequence we got sorts to {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21}
and we can say 1+3+5+7+9+11+13+15+17+19+21 = 121
Answer: 1+3+5+7+9+11+13+15+17+19+21 = 121solve the equation 3x²–2x=5
Answer:
x= -1 or x= 5/3
Step-by-step explanation:
3x²–2x=5
3x²-2x-5=0
(3x+_)(x-_)
(3x-5)(x+1)
(I just use a guess and check method to see what will fill the blanks and let the expression expand to become 3x²–2x=5)
3x-5=0
3x=5
x= 5/3
x+1
x=-1
x= -1 or x= 5/3
Hope this helps!
Which property is shown in the matrix addition below?
0 -5.5
0
5.5
0
0
6
19.4 +-6
-6 -19.4
0
0
0
0
0
0
0 0
Answer:
additive inverse properties
Write the expression as either the sine, cosine, or tangent of a single angle. cos(pi/5) cos(pi/7)+sin(pi/5)sin (pi/7)
Answer:
cos(2π/35)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Sum/Difference Formula [cosine]: [tex]\displaystyle cos(x \pm y) = cos(x)cos(y) \mp sin(x)sin(y)[/tex]Step-by-step explanation:
Step 1: Define
Identify
cos(π/5)cos(π/7) + sin(π/5)sin(π/7)
Step 2: Simplify
Sum/Difference Formula [cosine]: cos(π/5)cos(π/7) + sin(π/5)sin(π/7) = cos(π/5 - π/7)Subtract: cos(π/5 - π/7) = cos(2π/35)To make cupcakes the recipe requires 3/4 of a Cup of cocoa powder In my pantry I have 5/2 cups of cocoa powder. How many recipes can i make
Answer:
3 1/3
Step-by-step explanation:
5/2 divided by 3/4 = 3 1/3
Which of the following is the proper name for the figure below?
T
M
A
y
X
Ο Α. ΔΑΤΧ
Ο Β. ΔΑΤΜ
Ο C. ΔΑΥΜ
Ο D. ΔΑΥΧ
Answer:
A
Step-by-step explanation:
i don't know the real answer but i have learned it before so it's an educated guess
how much water should be added to one liter of pure ammonia to make a mixture of 50% ammonia
Answer:
I assume that this is a math question not a chemistry question...
In math I assume the answer is 1 liter....
total = 2 liters (1 liter water 1 liter ammonia )
If this is a chemistry question there is a difference between total
volume, and total weight, which would not result in the answer being 1 liter
Step-by-step explanation:
[tex]\sqrt{x} 4[/tex]
Answer:
[tex]x^{2}[/tex]
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
Answer:
x = [tex]\sqrt{26}[/tex]
Step-by-step explanation:
using pythagoras theorem
here [tex]\sqrt{13}[/tex] and [tex]\sqrt{13}[/tex] are the legs of the right angled triangle and x is hypotenuse.
a^2 + b^2 = c^2
[tex](\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2[/tex]
13 + 13 = x^2
26 = x^2
[tex]\sqrt{26}[/tex] = x
Answer:
answer would be c
Step-by-step explanation:
hope this helps
Someone help fast please
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The sequence of payment is geometric , that is
1, 3, 9, ...
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 1 and r = 3 ÷ 1 = 3 , then
[tex]S_{15}[/tex] = [tex]\frac{1(3^{15}-1) }{3-1}[/tex] = [tex]\frac{14348907-1}{2}[/tex] = [tex]\frac{14348906}{2}[/tex] = 7174453 cents and
7174453 ÷ 100 = $71,744.53 → A
PLEASE HELP !! two angles in a triangle have measurements of 20 degrees and 50 degrees. what is the measure of the third angle? the options are 70 degrees, 30 degrees, 110 degrees, and 120 degrees
Answer:
the answer is 110 degrees because 50 plus 20 is 70 and a triangle is 180 degrees so you do 180 minus 70 which gives you 110 :)
Step-by-step explanation:
Hannah either walks or cycles to school. The probability that she walks to school is 0.75. If she walks, the probability that she is late is 0.6. If she cycles, the probability that she is late is 0.2. Work out the probability that on any one day Hannah will not be late for school
Answer:
0.17
Step-by-step explanation:
im not really sure but that closest as 0.75+0.6+0.2=0.83 and 1.00-0.83=0.17
Answer:
0.17
hope this helps
joey is going shopping for a new pair of sneakers. He finds a pair that have an original price of $155. They are on sale today for 30% off. How much does Joey pay for the sneakers including 8% sales tax?
Answer:, Joey will pay $117.18 for sneakers.
Step-by-step explanation:
Given: original price = $155
Discount rate = 30%
Tax rate = 8%
Price after discount = Original price - (Discount) x (original price)
[tex]= 155-0.30\times 155\\\\=155-46.5\\\\=\$\ 108.5[/tex]
Tax = Tax rate x (Price after discount)
[tex]= 0.08 \times 108.5[/tex]
= $ 8.68
Final price for sneakers = Price after discount + Tax
= $ (108.5+8.68)
= $ 117.18
Hence
make greatest and smallest possible 7- digit number from 4,7,1,9,0,6,7
Answer:
greatest 9776410 smallest 1046779
Step-by-step explanation:
in smallest we cannot write 0 first because 0 has no units
Answers:
Largest possible = 9776410
Smallest possible = 1046779
====================================================
Explanation:
To make the greatest 7-digit number, we start with the largest digit at the left-most end. So we start with 9. Then the next digit is the next largest, which is 7, and so on until we get
9776410
If we swap any two distinct digits, then we'll get something smaller than that value above. For instance, swap the 1 and 0 which leads to 9776401 and this is smaller than 9776410. This is simply because 01 is smaller than 10. Every other digit is kept the same. Try out other digit swaps to see that the result is smaller than the value in bold.
------------------------
To make the smallest 7-digit number, we just take the idea mentioned in the first section and we reverse it. We start with the smallest digit. We can't have 0 as the first value or else it won't be a 7-digit number. So we go for 1 instead. Then we can pick 0 next. For the third digit we pick the third smallest (the digit 4), and we build up to get
1046779
If we swap any distinct two digits, then we'll get something larger than this value. Let's say we swap the second 7 and the 9 at the end. We go from 79 at the end to 97. Since 79 < 97, this means 1046779 < 1046797. That's one example of many.
--------------------------
So in short, the largest number possible has all the largest digits to the left (and we decrease going left to right). The smallest number possible is the reverse of this having the smallest digits to the left (then increasing from left to right). The 0 cannot be at the left-most digit position, or else won't have a seven digit number.
Let p: x < −3
Let q: x > 3
What is represented by p ∨ q?
x < −3 and x > 3
x > 3 or x < −3
If x < −3, then x > 3
x < −3 if and only if x > 3
Answer:it is the number above the 5
Step-by-step explanation:
Mr Li is four times as old as his son. In five years time, the sum of their ages will be 60 years. How old are they now?
Answer:
Mr Li is now 40 years old
his son is now 10 years old
Step-by-step explanation:
x = age Li
y = age son
x = 4y
x+5 + y+5 = 60
x + y + 10 = 60
x + y = 50
4y + y = 50
5y = 50
y = 10
x = 4y = 4×10 = 40
Helppppppppppppppppppppppppppppppppppppppppppp meeeeee
Answer:
Angle A = 19
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If angle A and angle B are vertical angles and vertical angles are congruent then angle A = angle B
If angle A = 3x + 13 and angle B = 5x + 9 then 3x + 13 = 5x + 9
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
3x + 13 = 5x + 9
Step 1 subtract 3x from both sides
Outcome: 13 = 2x + 9
Step 2 subtract 9 from both sides
Outcome: 4 = 2x
Step 3 divide both sides by 2
Outcome: x = 2
Now to find Angle A
All we have to do to find the measure of angle a is simply substitute 2 for x in it's given expression ( 3x + 13 )
Substitute 2 for x
Angle A = 3(2) + 13
Multiply
Angle A = 6 + 13
Add
Angle a = 19
What is the solution for the following system of equations?
5x + 7y = 3
2x + 3y = 1
O (-1,2)
O (1,-2)
O (-2,1)
O (2,-1)
Step-by-step explanation:
I recommend you to use matrices for systems of equations; it's a lot faster and more expedient.
Answer:
[tex](2, -1)[/tex]
Step-by-step explanation:
Given the system of equations:
[tex]\begin{cases}5x+7y=3,\\2x+3y=1\end{cases}[/tex]
Multiply the first equation by -2 and the second equation by 5, then add both equations to solve for [tex]y[/tex]:
[tex]\begin{cases}-2(5x+7y)=(-2)3,\\5(2x+3y)=(5)1\end{cases},\\\begin{cases}-10x-14y=-6,\\10x+15y=5\end{cases},\\-10x+10x-14y+15y=-6+5,\\y=-1[/tex]
Substitute [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:
[tex]2x+3y=1,\\2x+3(-1)=1,\\2x-3=1,\\2x=4,\\x=\boxed{2}[/tex]
Therefore, the solution to this system of equations is [tex]\boxed{(2, -1)}[/tex]
The king has 14 different colored flags that he uses to send coded messages to his general inn the field. For example blue-green-red might mean attack at dawn and red-green-blue- may mean retreat. He sends by arranging 3 of the flag atop the castle wall. How many coded messages can the king send?
Answer:
364 messages
Step-by-step explanation:
The king uses 14 flags in all and arranged 3 at a time to send a code to his general. The number of coded messages that can be sent by the king can be determined by;
Total number of colored flags = 14
Number of flags arranged per time = 3
So that,
[tex]^{14} C_{3}[/tex] = [tex]\frac{14!}{(14 - 3)!3!}[/tex]
= [tex]\frac{14!}{11!3!}[/tex]
= [tex]\frac{14*13*12*11!}{11!3!}[/tex]
= [tex]\frac{14*13*12*11!}{11!3*2!}[/tex]
= 364
[tex]^{14} C_{3}[/tex] = 364
The number of coded messages that can be sent by the king is 364.
If f(x) = x -5, what is f(2)
f(2) = -3
Step-by-step explanation:
f(x) = x - 5
f(2)) = (2) - 5 = -3
How many one-to-one correspondences exist between A = {1, 2, 3, 4} and B = {a, b, c, d}
Answer:
There are 24 different correspondences.
Step-by-step explanation:
A one-to-one correspondence means that each element of A can be mapped into only one element of B, and we can't have two or more elements from A mapped into one element from B.
So, to count all the possible combinations, we need to find the number of possible options for each mapping
The first element from A, the 1, can be mapped into any of the four elements of B, so here we have 4 options.
The second element from A, the 2, can be mapped into any of the remaining elements from B, 3 of them (remember that one of the elements of B is taken).
The third element from A, the 3, can be mapped into any of the remaining elements from B, 2 of them now, so here we have 2 options.
The final element from A, the 4, can be mapped into the remaining element from B, so here we have only one option.
The total number of different correspondences (or combinations) is equal to the product between the numbers of options, this is:
Combinations = 4*3*2*1 = 12*2 = 24
There are 24 different correspondences.
While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but she isn't sure how far that is. She decides to estimate the distance in miles. If Judy uses the fact that 1 kilometer is about 0.6 miles, what will her estimate be?
Answer:
24 Miles
Step-by-step explanation:
We multiply:
40 * 0,6 = 24 miles
ecuaciones con resultado 17
Answer:
x-1= -18
x = -18 +1
x = -17
2x - 4 = - 38
2x = -38 + 4
2x = -34
x = -34/2
x = -17
Step-by-step explanation:
Help me
Is not an exam is a activity
Answer:
B. y= -2x +2
Step-by-step explanation:
the slope is negative 2 and the point where the line crosses the y-int is 2
What is the circumference of the circle? (use 3.14 for pi) r= 19 m
29.83 m
119.32 m
238.64 m
59.66 m
Answer:
119.32 m
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
C = 2 (3.14) *19
C = 119.32