Answers
Answer:
4 toppings
Step-by-step explanation:
Set the two equations equal
8 + 1.25x = 10+.75x
Subtract .75x from each side
8 + 1.25x-.75x = 10+.75x-.75x
8 + .5x = 10
Subtract 8 from each side
8-8 + .5x=10-8
.5x =2
Divide each side by .5
.5x/.5 = 2/.5
x = 4
Related Questions
You are given the functions f(x) and g(x) = sin^-1(fx). Which of the following expressions represents the ratio of the derivatives of these two functions, f'(x)/g'(x)? Assume that the domain of g(x) is -pi/2 < f(x) < pi/2.
A. f'(x)/g'(x) = 1/(sqrt( 1 - (f(x))^2 )
B. f'(x)/g'(x) = 1/(sqrt( 1 + f(x) )
C. f'(x)/g'(x) = (sqrt( 1 - (f(x))^2 )
D. f'(x)/g'(x) = (sqrt( 1 - f(x) )
E. f'(x)/g'(x) = (sqrt( 1 + f^2(x) )
Answers
Answer:
C
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle f(x) \text{ and } g(x)=\sin^{-1}(f(x))[/tex]
And we want to find the ratio that represents:
[tex]\displaystyle \frac{f^\prime(x)}{g^\prime(x)}[/tex]
To do so, we will compute the derivatives of both functions.
For f, we can simply write that:
[tex]f^\prime(x)=f^\prime(x)[/tex]
For g, we will use the chain rule:
[tex]\displaystyle (u(v(x))^\prime=u^\prime(v(x))\cdot v'(x)[/tex]
We can let:
[tex]u(x)=\sin^{-1}(x)\text{ and } v(x)=f(x)[/tex]
We can double check this by doing the composition:
[tex]g(x)=u(v(x))=\sin^{-1}(f(x))[/tex]
Therefore, by the chain rule, we acquire that:
[tex]\displaystyle g^\prime(x)=\frac{1}{\sqrt{1-(v(x))^2}}\cdot v'(x)[/tex]
By substitution:
[tex]\displaystyle g^\prime(x)=\frac{f^\prime(x)}{\sqrt{1-(f(x))^2}}[/tex]
Hence, our ratio is:
[tex]\displaystyle \frac{f^\prime(x)}{g^\prime(x)}=\frac{f^\prime(x)}{\dfrac{f^\prime(x)}{\sqrt{1-(f(x))^2}}}[/tex]
Simplify:
[tex]\displaystyle \frac{f^\prime(x)}{g^\prime(x)}=\sqrt{1-(f(x))^2}[/tex]
Hence, our answer is C
Answer:
This isn't the answer as you can see it above, but do you have the rest of the questions?
Step-by-step explanation:
Thank you in advance.
6. John is signed up for a running race. He wants to
choose the shortest race. His choices are 2.5 kilometers
or 5.0 kilometers. Which is the shorter race?
Answers
Answer:
yo mama (first one ) .bsnisjehdvxbnxjx
if you roll a standard 6 sided die, whats the probability that you get a 1,2,3,5, or 6?
Answers
Answer:
5/6
Step-by-step explanation:
1 has a 1/6 chance2 has a 1/6 chance3 has a 1/6 chance5 has a 1/6 chance6 has a 1/6 chance1, 2, 3, 5, or 6 has a 1/6+1/6+1/6+1/6+1/6=5/6 chanceAnswer:
18.3% chance it will land on that particular side
A door 2m*1m is fixed on a wall.The wall is 8.5 long and 2m high.Find the cost of whitewashing the wall ₹40 per square meter.
Answers
Answer:
[tex]600\ rupees[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Dimensions\ of\ the\ door=2m *1m\\Dimensions\ of\ the\ wall=8.5m*2m\\Cost\ of\ whitewashing\ of\ 1m^2=40\ rupees\\Hence,\\First\ lets\ consider\ the\ wall:\\Area\ of\ a\ rectangle= Length*Width\\Here,\\Length\ of\ the\ wall=8.5\ m\\Width\ of\ the\ wall=2\ m[As\ here\ width\ and\ height\ are\ the\ same\ thing]\\Hence,\\Area\ of\ the\ wall=8.5*2=17\ m^2[/tex]
[tex]Now,\\Lets\ consider\ the\ door:\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Length\ of\ the\ door=2m\\Width\ of\ the\ door=1\ m\\Hence,\\Area\ of\ the\ door=2*1=2m^2\\\\Now,\\The\ area\ to\ be\ whitewashed=Area\ of\ the\ wall-Area\of\ the\ door\\Hence,\\The\ area\ to\ be\ whitewashed=17-2=15\ m^2\\\\As\ we\ know\ that,\\Cost\ of\ whitewashing\ 1\ m^2\ of\ the\ wall= 40\ rupees\\Hence,\\[/tex]
[tex]Cost\ of\ whitewashing\ the\ whole\ wall=Area\ of\ the\ wall\ to\ be\\ whitewashed*Rate\ of\ whitewashing\ per\ m^2\\Hence,\\Cost\ of\ whitewashing\ the\ whole\ wall=15*40=600\ rupees[/tex]
(a) Complete the table of values for y = 1/2x + 1
Please help ❤️
Answers
Answer:
y =1, 1.5, 2, 2.5, 3
Step-by-step explanation:
Plug in the values of x into the equation for y.
For example when x is 0, plug in 0 into the equation
0.5x + 1 = y
0.5(0) + 1 = 1
So, y = 1
To find the other values of y, plug in the designated value of x into the equation.
Write the phase as an expression. Then evaluate x=5. The sun of number x and 4, all divided by 3
Answers
Plug in 5 for x
(5 + 4)/ 3 = 9/3 = 3
The solution is 3
If the temperature starts at -5 and then rises 13 degrees, what is the new temperature?
Answers
Answer:
The awnser is 9 degrees.
Step-by-step explanation:
Will give BRAINLIEST
Answers
Answer:
post office, Library, Park, town hall
Step-by-step explanation:
It helps if you draw a number line to visualize it
From a cylinder of height of 24cm and base diameter 14cm, a cone having equal radius and height is hollowed out. Find the volume of the remaining solid of the cylinder.
Answers
Answer:
2463 cm^3
Step-by-step explanation:
Given that a cylinder of height of 24cm and base diameter 14cm, a cone having equal radius and height is hollowed out. Find the volume of the remaining solid of the cylinder.
Let first calculate the volume of the cylinder
V = πr^2h
Where the radius = 7 cm
V = π × 7^2 × 24
V = 3694.5 cm^3
Let's calculate the volume of a cone
V = 1/3πr^2h
V = 1/3 × π × 7^2 × 24
V = 1/3 × 3694.5
V = 1231.5 cm^3
To Find the volume of the remaining solid of the cylinder, minus the volume of a cone from the volume of a cylinder
Remaining volume V = 3694.5 - 1231.5
V = 2462.99 cm^3
V = 2463 cm^3 approximately
The graph of the absolute value parent function, f(x) = |x|, is stretch horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
A. g(x) = 6|x|
B. g(x) = |x + 6|
C. g(x) = |1/6x|
D. g(x) = |6x|
Answers
Answer:
Step-by-step explanation:
(C). g(x) = | [tex]\frac{1}{6}[/tex] x |
Which statement best describes how people within a country may be different?
People know that each region has the same traditions and culture.
People from different regions have different cultures, values and languages.
People believe that people from each region are equal to one another.
People think that mountainous regions are more important than others.
Answers
Answer:
its B People from different regions have different cultures, values and languages.
Step-by-step explanation:
i just took the assignment
also i got it right thx to my notes
What is 47/50 as a decimal? What is 47/50 as a percentage!
Really need help
Answers
Answer:
0.94 and 94%
Step-by-step explanation:
Answer:
0.94 or 94%
Step-by-step explanation:
Once you find the decimal form, multiply it by 100 to gain the percentage form
If it was 0.5, for example, it would be 50% as a percentage
A probability experiment is conducted in which the sample space of the experiment is S= {6,7,8,9,10,11,12,13,14,15,16,17.Let event E={6,7,8,9,10,11,12,13} Assume each outcome is equally likely. List the outcomes in Ec. Find P (Ec)
Answers
Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given: S = {6,7,8,9,10,11,12,13,14,15,16,17}
E={6,7,8,9,10,11,12,13}
[tex]E^c=[/tex] Event having all elements of S other than E.
[tex]={14, 15 , 16, 17}[/tex]
[tex]P(E^c)=\dfrac{\text{Elements in }E^c}{\text{Elements in }S}\\\\=\dfrac{4}{12}\\\\=\dfrac{1}{3}[/tex]
Hence, [tex]P(E^c)=\dfrac{1}{3}[/tex]
What is the probability of the following, (for each answer, enter an exact number)
(A) an event A that is certain to occur
Answers
Answer:
Probability of certain event P(E) = 1
Step-by-step explanation:
An event or program A that is likely to occur has a probability of 1, which indicates that there will always be an event or a program.
Probability of certain event P(E) = 1
If a square has the sides of 6 cm then how far will it be from one corner of the square to the opposite corner?
Answers
Answer:
8.5 cm
Step-by-step explanation:
We know that the square has side lengths of 6cm. To calculate the distance from one corner of the square to the opposite corner, we are calculating the diagonal of the square.
Along the diagonal is where the square gets split in half into two right triangles. The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle and a and b are the other two sides.
To find the length of the square's diagonal, we essentially need to calculate c, the longest side of the triangles. We can do this by plugging 6 into the equation as a and b.
[tex]a^2+b^2=c^2\\6^2+6^2=c^2\\36+36=c^2\\72=c^2\\\sqrt{72} =c[/tex]
[tex]8.5[/tex] ≈ [tex]c[/tex]
Therefore, it will be approximately 8.5cm from one corner of the square to the opposite corner.
I hope this helps!
HELP ME IF YOU KNOW ;((
Answers
Answer:
1.5
Step-by-step explanation:
Your answer is 1.5 have a good day
Which set of mixed numbers has a difference less than 1?
Answers
the other answers gave a difference more than 1
A
Explanation
Others have a difference more than 1
If u steal point i report
Answers
Answer: the 2 on the right
Step-by-step explanation:
If the slope is 2 and the y-intercept is 6, then the linear equation is 2y = 6x.
False
True
Answers
Answer:
False
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 2
y-intercept b = 6
Step 2: Write Function
Substitute into general form.
y = 2x + 6
Step 3: Compare
2y = 6x does not equal y = 2x + 6
What is the correct answer to “2+5*4-8÷⅘=?
Answers
Answer:
no it is not c it is b
Step-by-step explanation:
2+(5×4)-(8×5/4)
2+20-40/4
22-10
12
The correct option is B, which is 12.
Given to us:
[tex]2+5\times4-8 \div (\frac{4}{5})[/tex]
To solve such questions, we use BODMAS Rule which helps us decide the order of the operations to solve the mathematical problems.
B - Brackets
O - Order/Power
D - Division
M - Multiplication
A - Addition
S - Subtraction
Therefore, In equation [tex]2+5\times4-8 \div (\frac{4}{5})[/tex] ;
1. solve brackets first,
[tex]2+5\times4-8 \div (0.8)[/tex]
2. solve Division,
[tex]2+5\times4-10[/tex]
3. Solving Multiplication,
[tex]2+20-10[/tex]
4. Solving Addition,
[tex]22-10[/tex]
5. Solving Subtraction,
12.
Hence, the correct option is B, which is 12.
To know more visit:
https://brainly.com/question/24383445
Three sisters purchased treats at a bake sale. The oldest sister spent $2.70 on brownies. The middle sister spent four times as much on cookies as the older sister spent on brownies. The youngest sister spent $3.68 less on a cake than the middle sister spent on cookies. How much did each sister spend?
Answers
Answer:
the oldest sister spent 2.70$ (given)
the middle sister spent 10.80$
and the youngest sister spent 7.12$
Step-by-step explanation:
Find the equation of the graphed line.
a. y= - 6x-7
b. y = 6x -7
c. y = - 6/7 × -6
b. y = - 7/6x - 7
Answers
Y=Mx+b b is always on the y intercept so that canceled out c and b is canceled out Bc the Mx is negative and it can’t just be 6 Bc there is no point on where it clear like right on the point if u can understand that so that just leaves u with d y=-7/6x-7
Which of the following is true about the linear function 4x+2y=12
1.it has a slope of -2 and a y intercept of 6
2. It has a slope of -2 and a y intercept of 12
3 it has a slope of -1/2 and a y intercept of 6
4 it has a slope of -4 and a y intercept of 12
Answers
Answer:
i believe is 4
Step-by-step explanation:
If you 2y=-4x+12
need to get the Y by it self
Given P(A) = 0.4 and P(B) = 0.6, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.5, compute P(A and B).
Answers
Answer:
Solution in photo
Step-by-step explanation:
Answer:
a) 0.24
b) 0.3
Step-by-step explanation:
Given the following probability
P(A) = 0.4 P(B) = 0.6
a) P(A and B) =P(A)P(B) {Independent)
P(A and B) = 0.4×0.6
P(A and B) = 0.24
b) Given P(A | B) = 0.5, this is a conditional probability
If P(A | B) = P(A and B)/P(B)
Since If P(A | B) = 0.5
0.5 = P(A and B)/P(B)
P(A and B) = 0.5(P(B)
P(A and B) = 0.5(0.6)
P(A and B) = 0.3
Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.
What is the total running distance of the four runners?
Answers
Sumbody help me out with this
Answers
Answer:
the answer is c
Step-by-step explanation:
Which expression is equivalent to the expression below? p+p+p+p+p+p+q+q+q+q p+p+p+p+p+p+q+q+q+q
Answers
Answer:
12p + 8q
Step-by-step explanation:
Help please. Whoever does gets brainliest.
Answers
Answer:
D plz mark me brainliest
Step-by-step explanation:
Your boss sends you a text of a painting of the Yankee stadium.
The painting is 16 inches by 24 inches. If the scale factor is 2.25, what is the actual size of the painting?
Your boss also needs to know if this is an enlargement or a reduction.
(If you can,Please provide an image of how you solved the problem.And please explain thoroughly how you got your answer.)
Answers
Answer:
170.6 inches
The scale factor is an enlargement
Step-by-step explanation:
16 by 24 is the Painting by a scale factor of 2.25
A scale factor is an enlargment or reduction in a shape or quantity.
So
(16*24) is the size of the painting after Scale factor
16*24=384
Know get 384/2.25
170.666666667
170.6 inches
A soda pop manufacturer runs a contest and places a winning bottle cap on every sixth bottle. If a person buys the soda pop, find the probability that the person will win for the first time on his third purchase.
Answers
Answer:
[tex]\dfrac{25}{216}[/tex]
Step-by-step explanation:
From the given information:
The probability (p) of winning a bottle cap = [tex]\dfrac{1}{6}[/tex]
The probability of not winning a bottle cap will be (q) = 1 - p
[tex]= 1- \dfrac{1}{6}[/tex]
[tex]= \dfrac{5}{6}[/tex]
Since we are told that the winning is placed once on every sixth bottle
Then the required probability = P( of not winning the first purchase) × P( of not winning the second purchase) × P( of winning the third purchase)
[tex]= \dfrac{5}{6} \times \dfrac{5}{6} \times \dfrac{1}{6}[/tex]
[tex]= \dfrac{25}{216}[/tex]