Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b
Please help and thank you!
Answer:
f(x) = 4*e^(0.05*x)
Step-by-step explanation:
We want to find the equation for the graph.
The first thing we can see, is that, as the value of x increases, also does the value of y.
So f(x) increases as x increases.
Then we can discard the options with negative exponents, as those decrease when x increases.
Then the remaining options are:
f(x) = 4*e^(0.05*x)
f(x) = 4*e^(0.5*x)
In the graph, we can see that:
f(5) ≈ 5
So let's check that with the two remaining options:
For the first one we have:
f(5) = 4*e^(0.05*5) = 5.13
While for the second option we have:
f(5) = 4*e^(0.5*5) = 48.73
Then the correct option is the first one:
f(x) = 4*e^(0.05*x)
Leonardo has 140 in his bank account. He also gets an additional $15 each hour Write an equation to represent how much money, y, is in his account after x, hours.
Answer:
.y= 140 + 15x
Happy to help :)
Which expression is equivalent
Answer:
[tex]\sqrt[6]{2\\}[/tex]
Step-by-step explanation:
Rewriting
2 ^1/2 ÷ 2 ^ 1/3
We know a^ b ÷ a^c = a^ (b-c)
2 ^ (1/2 -1/3)
Getting a common denominator
2^ ( 3/6 - 2/6)
2^ 1/6
[tex]\sqrt[6]{2\\}[/tex]
Answer:
[tex]\sqrt[6]{2}[/tex]
Step-by-step explanation:
We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and [tex]2^{\frac{1}{2} }[/tex] and the cube root of two is the same as [tex]2^{\frac{1}{3} }[/tex]. Therefore, we can rewrite the expression:
[tex]\frac{2^{\frac{1}{2} }}{2^{\frac{1}{3} }}[/tex]
Now, to write them as one power of two, we can use the quotient rule which states, [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]:
[tex]2^{\frac{1}{2} -\frac{1}{3}}[/tex]
We just need to subtract 1/3 from 1/2 to get:
[tex]2^{\frac{1}{6} }[/tex]
This is the same as the 6th root of 2, which is the second option.
HELP ASAP !!!! Which equation is satisfied by all three of the plotted points?
Answer:
Ok, so im not 100% sure about this answer but i think its D:
Step-by-step explanation:
I think this is correct because i used desmos and had plotted those answer and the only one that looks close enough to this answer was D.
I'll also put up the pictures so you can see what i mean.
I hope this help.
The square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11
Answer:
1,936 square units
Step-by-step explanation:
From the question, we have it that the original image was dilated by a factor of 1/4
what this mean is that the original image was reduced by up to a quarter size to get this new image
Now, to get the original image, we have to enlarge by a factor of 4
So, we simply have to multiply the side length of the new square by 4
We have that as;
11 * 4 = 44 units
Mathematically, the area of a square is the square of its side length
So, we have the area of the square as;
44 * 44 = 1,936 square units
What restrictions may be necessary to the domain and range of linear equations?
Answer:
There may be restrictions on the domain and range. The restrictions partly depend on the type of function. In this topic, all functions will be restricted to real number values. That is, only real numbers can be used in the domain, and only real numbers can be in the range.Adar, Chi, and Melissa each left the party by themselves. In how many different orders can they leave?
A. 5
B. 6
C. 7
D. 9
Paul wants to buy a bicycle that costs $86.50. He has saved $60. He earns $5.30 an hour working after school and can save half of his total earnings. How many hours will he have to work to buy the bicycle?
Answer:
10 hours
Step-by-step explanation:
86.50-60=26.50
5.30/2=2.65
2.65*10=25.50
so 10 hours of work to buy the bicycle
How many solutions does this linear system have? y = 2x – 5 –8x – 4y = –20 one solution: (–2.5, 0) one solution: (2.5, 0) no solution infinite number of solution
Answer:
one solution: (2.5, 0)
Step-by-step explanation:
We are given the following system of equations:
y = 2x - 5
-8x - 4y = -20
Replacing the first equation into the second:
[tex]-8x - 4(2x - 5) = -20[/tex]
[tex]-8x -8x + 20 = -20[/tex]
[tex]-16x = -40[/tex]
[tex]16x = 40[/tex]
[tex]x = \frac{40}{16}[/tex]
[tex]x = 2.5[/tex]
y
[tex]y = 2x - 5 = 2(2.5) - 5 = 5 - 5 = 0[/tex]
Thus the system has one solution: (2.5,0).
Luke's tyre pressure gauge shows a reading which is 8% higher than the actual pressure.
What is the actual pressure when Sue's gauge shows 39.42?
Answer:
so for this we do
39.42*1.08=42.5736
Hope This Helps!!!
Why anything divided by 0 go undefiened
Answer:
First, remember that mathematics is a logical construct.
So, when something has no logical sense, it is undefined.
Now, let's think about a division by zero:
If you have $100, and you want to divide it between 0 people, how much gets each one of them?.
Naturally, there is no logical answer to this question, we can not know how much gets each one of these people because we have no people to divide that money.
Now, we can find another logical problem if we assume that the division is actually defined.
For example if 1 divided by zero is equal to a number A, we have:
1/0 = A
ok, if now multiply both sides by zero we get:
(1/0)*0 = A*0
1*(0/0) = A*0
1 = 0
So, 1/0 can be defined only if 1 = 0, again, a logical problem.
This is why the division by zero is not defined.
how many whole numbers starting with 1 and ending with 1000 are perfect squares?
Answer:
There are 31 perfect squares between 1 and 1000
Hope it helps❤️
2. Mr. Theorem writes the expression 6^2/(2m) on the board. What is the value of this expression when the value of m = 3?
Answer:
6
Step-by-step explanation:
6^2/(2m)
Let m = 3
6^2/(2*3)
6^2 / 6
36/6
6
Answer:
6
Step-by-step explanation:
(6)² / 2m
36 / 2 × (3 ) ( given :- m = 3)
36 / 6
6
Please solve this equation. Thank you!
38x-12y = (6+2n)x + (4-n)y
Step-by-step explanation:
the answer is in the above image
Answer:
39x -12y = (6n+2n)X+(4-n)y
6+2n=38
2n=38-6
2n=32
n=32÷2
n= 16
What is the gradient of the blue line
Answer:
1/4
Step-by-step explanation:
1) Find two points of the line
(4,2) and (8,3)
Gradient = (y2 - y1)/(x2-x1)
(3-2)/(8-4) = 1/4
78.4 divided by 0.56
78.4 ÷ 0.56 = 140
I just used an online calculator like you could do. But, here you go.
What is the value of g(3)
Answer:
f(3)=2 (from the right table). g(f(3))=g(2)=-3.
Step-by-step explanation:
lemme get Brainliest please
Kofi, Kojo and Ama shared GH¢ 480,000.00 in the ratio 3:5:4. How much did Ama receive?
A. GH¢ 160,000.00
B. GH¢ 200,000.00
C. GH¢ 218,181.81
D. GH¢ 342,859.14
Answer:
160000
Step-by-step explanation:
Let ratio be 3x,5x,4x
Sum of ratios 3x+5x+4x=12x
Share of Kofi:-
(3/12)x480000=120000
Share of Kojo:-
(5/12)x480000=200000
Share of Ama:-
(4/12)x480000=160000
Q 18. Find the volume of a cylinder of diameter = 4 mm & height = 8 mm. Round to the nearest tenth if necessary. *
A. V= 131.1 mm^3
B. V= 116.9 mm^3
C. V= 100.5 mm^3
D. V= 230.0 mm^3
Answer: 100.5
Step-by-step explanation:
multiply 3.14 by 2 to the 2nd power by 8. so first 2 to the second power is 4. Then 4x8 is 32. Final step is to multiply 3.14 by 32 to get 100.48. Then you gotta round to get 100.5.
Help me please which expression is equal
The answer is C.
45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.
pls answer quickly i need it
⚠️TEST QUESTION PLEASE HELP DUE IN 5 MINUTES⚠️
Answer:
Step-by-step explanation:
The letter c
Every round in a competition costs 30 diamonds and you get 10 shards. How many diamonds will it cost you to reach 1,024 shards?
Answer:
3,090 diamonds
Step-by-step explanation:
To get 10 shards, you need to spend 30 diamonds.
First thing we need to find, how many rounds you need to play to get 1,024 shards if in each round you win 10 shards?
1,024/10 = 102,4
But you can not play 102.4 rounds, you only can play whole numbers, so we need to round it to the next whole number (not the previous one, because in that case, we would get less than 1,024 shards)
Then you need to play 103 rounds.
And each round costs 30 diamonds, then the total number of diamonds that you need is:
103*30 diamonds = 3,090 diamonds
force=1500 N pressure=6000 find the area contac
Answer:
[tex]Area = 0.25 \ m^2[/tex]
Step-by-step explanation:
Force = 1500N , Pressure = 6000
[tex]Pressure = \frac{Force}{Area }[/tex]
[tex]6000 = \frac{1500}{Area }[/tex]
[tex]6000 \times Area = 1500\\\\Area = \frac{1500}{6000} \\\\Area = \frac{1}{4} = 0.25 \ m^2[/tex]
What the car monthly payment?? Show work plz
Answer:
$656.25
p=35000
t=5
r=2.5
interest=ptr/100
=35000x5x2.5/100
=4375
amount=p+i
=35000+4375
=39375
now,
5 yr= 5x12months = 60 months
$39375/60=$656.25
i think so...
If k(x) = 5x - 6, which expression is equivalent to (k + k)(4)?
Answer:
52
Step-by-step explanation:
k(x) = 5x - 6
(k + k)(4) =
First find k(4) = 5(4)+6 = 20+6 = 26
(k + k)(4) = 26+26 = 52
Let f be a function of two variables that has continuous partial derivatives and consider the points
A(8, 9),
B(10, 9),
C(8, 10),
and
D(11, 13).
The directional derivative of f at A in the direction of the vector AB is 9 and the directional derivative at A in the direction of
AC is 2. Find the directional derivative of f at A in the direction of the vector AD.
(Round your answer to two decimal places.)
Answer:
The directional derivative of f at A in the direction of [tex]\vec{u}[/tex] AD is 7.
Step-by-step explanation:
Step 1:
Directional of a function f in direction of the unit vector [tex]\vec{u}=(a,b)[/tex] is denoted by [tex]D\vec{u}f(x,y)[/tex],
[tex]D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b[/tex].
Now the given points are
[tex]A(8,9),B(10,9),C(8,10) and D(11,13)[/tex],
Step 2:
The vectors are given as
AB = (10-8, 9-9),the direction is
[tex]\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)[/tex]
AC=(8-8,10-9), the direction is
[tex]\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)[/tex]
AC=(11-8,13-9), the direction is
[tex]\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )[/tex]
Step 3:
The given directional derivative of f at A [tex]\vec{u}_{AB}[/tex] is 9,
[tex]D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9[/tex]
The given directional derivative of f at A [tex]\vec{u}_{AC}[/tex] is 2,
[tex]D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2[/tex]
The given directional derivative of f at A [tex]\vec{u}_{AD}[/tex] is
[tex]D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}[/tex]
[tex]D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}[/tex]
[tex]D\vec{u}_{AD}f= \frac{27+8}{5} =7[/tex]
The directional derivative of f at A in the direction of [tex]\vec{u}_{AD}[/tex] is 7.
there are 24 students in a class. among them 8 are girl.
a.find the ratio of boys and girls
b.find the ratio of girls and boys
Answer:
A 2:1
B 1:2
Step-by-step explanation:
If there is 24 students and 8 are girls, then 24 - 8 tells you how many are boys.
24 - 8 = 16.
There are 16 boys.
If there is 16 boys and 8 girls, the ratio would be 2 : 1 or 2/1 or 2 because 16 and 8 have a common factor of 8, so both sides can be divided by 8.
Hence the 8 : 2.
Ratios are commonly expressed with a colon, so that is going to be the symbol I'm using to differenciate the numbers.
We can just reverse the ratio since the original was boys to girls, but it is now girls to boys.
1:2
2x-3 5x+6= Multiply and combine like terms
Answer:
10x^2 - 3x -18
Step-by-step explanation:
if you meant (2x-3)(5x+6), you just multiply out
Answer:
Step-by-step explanation:
Use FOIL method
(2x - 3)(5x + 6) = 2x*5x + 2x*6 + (-3)*5x + (-3) *6
= 10x² + 12x - 15x - 18 {Combine like terms}
= 10x² - 3x - 18
Like terms are terms that have same variable with same power.
I need help with this can someone help me please!!! I will give brainlist, no links!!
Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?
Answer:
Leo stop at 1339. 3 feet tall and Leo almost reach the top of the building