Answer:
11.11%
Step-by-step explanation:
the increased price = 20-18 = $2
the percentage increased = 2/18 ×100%
= 11.11%
Answer: Percent increase = 11.11%
Concept:
Here, we need to know how to find the percentage of increase.
Percent increase is a measure of percent change, which is the extent to which something gains value.
Percent increase = [(final value - initial value) / initial value] × 100%
Solve:
Given information
Initial value = $18
Final value = $20
Given expression
Percent increase = [(final value - initial value) / initial value] × 100%
Substitute values into the expression
Percent increase = [(20 - 18) / 18] × 100%
Simplify values in the parentheses
Percent increase = [2 / 18] × 100%
SImplify by multiplication
Percent increase = 11.11 % (Rounded to the hundredth place)
Hope this helps!! :)
Please let me know if you have any questions
obtain the backward difference for the function f(x) =x^3 from x=1 to 1.05
We have to find integration of f(x) having upper limit 1.05 and lower limit 1
[tex]\\ \rm\longmapsto \displaystyle{\int^{1.05}_1}x^3dx[/tex]
[tex]\\ \rm\longmapsto \left[\dfrac{3x^{3+1}}{3+1}\right]^{1.05}_1[/tex]
[tex]\\ \rm\longmapsto \left[\dfrac{3x^4}{4}\right]^{1.05}_1[/tex]
[tex]\\ \rm\longmapsto \dfrac{3(1.05)^4-3(1)^4}{4}[/tex]
[tex]\\ \rm\longmapsto \dfrac{3(1.2)-3(1)}{4}[/tex]
[tex]\\ \rm\longmapsto \dfrac{3.6-3}{4}[/tex]
[tex]\\ \rm\longmapsto \dfrac{0.6}{4}[/tex]
[tex]\\ \rm\longmapsto 2.4[/tex]
A cookie recipe calls for 4/3 cup of flour and makes 3 dozen cookies, Il Cassandra plans to make 18 dozen cookies, how many cups of does she need?
Answer:
8
Step-by-step explanation:
4/3 cup for 3 dozen.
how many cups for 18 dozen ?
what factor do I need to use to turn 3 into 18 ?
3×x = 18
x = 18/3 = 6
so, I need 6 units of flour (1 unit is 4/3 cup) to make 6 units of cookies (1 unit is 3 dozen).
therefore, we need
4/3 × 6 = 6×4/3 = 2×4 = 8 cups of flour.
40 POINTS !!!!
In this course, we’ll begin to explore “opposite” function types. For example, think about a quadratic function and its key features. What key features do you think its opposite function will have? Why?
Answer:
Step-by-step explanation:
The key features of a quadratic function are the y-intercept, the axis of symmetry, and the coordinates and nature of the turning point (or vertex)
for opposite: Its reflection and its symmetrical
opposite function or inverse functions are reflections of each other over the line y = x. You find the inverse by switching x and y in the equation.
To reduce inventory, Millennium Games offers single-game CDs at a $5 discount. Roger buys 4 of these single-game CDs for $80. Write and solve an equation to determine the original price of a single-game CD.
help me pls thanks!!!!!!!
Answer:
7. 0.37
Decimal value is - HUNDREDTHS
Fraction value is - [tex]\frac{37}{100}[/tex]
1.735
Decimal value is - TENTHS
Fraction value is - [tex]\frac{1735}{1000}[/tex]
8. 6.075
Decimal value is - HUNDREDTHS
Fraction value is - [tex]\frac{6075}{1000}[/tex]
27.05
Decimal value is - ONES
Fraction value is - [tex]\frac{2705}{100}[/tex]
9. 0.127
Decimal value is - THOUSANDTHS
Fraction value is - [tex]\frac{127}{1000}[/tex]
3.007
Decimal value is - THOUSANDTHS
Fraction value is - [tex]\frac{3007}{1000}[/tex]
A line passes through the point (-4,6) and has a slope of 5/4
Answer:
4y-5x-44=0
Step-by-step explanation:
It passes through one point with the formula being
y-y1=m(x-x1)
y-6=5/4(x-(-4))
y-6=5/4(x+4)
cross multiply
4(y-6)=5(x+4)
4y-24=5x+20
collect like terms
4y-5x=20+24
4y-5x=44
4y-5x-44=0
Answer:
Step-by-step explanation:
I will ASSUME you want an equation
In slope/intercept form it is
6 = (5/4)(-4) + b
b = 11
y = (5/4)x + 11
or in slope/point form is
(y - 6) = (5/4)(x + 4)
I need help with #28
9514 1404 393
Answer:
13
Step-by-step explanation:
If we assume that points P, Q, R, S are in that order on a arc centered at O, then we have ...
∠POQ +∠QOS = ∠POR +∠ROS
∠ROS = ∠POQ +∠QOS -∠POR
∠ROS = 28 +46 -61 = 13
Bob and Nan have 2 dozen chocolate chip cookies and
18 peanut butter cookies. They are preparing gift baskets for
their friends. They plan to put 4 chocolate chip cookies and
3 peanut butter cookies in each basket. What is the largest
number of baskets they can make and still have enough
cookies?
A 2 baskets
B 4 baskets
C 9 baskets
D 6 baskets
Answer:
it's D
Step-by-step explanation:
2 dozen is 24 so we have 18 pnt butter and 24 choc chip.
they're putting 4 choc chp in each so do 24/4
they're putting 3 pnt butter in each so do 18/3
both are 6 so D is the answer
At a cost of $8 per pound, how many ounces of rolled oats can be bought for $4.70?
Answer: 9.4 ounces.
Step-by-step explanation:
There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.
Please Help!!
Find the equation (in terms of x) of the line through the points (-5,-4) and (4,1)
Step-by-step explanation:
we first find the gradient
when y1=-4, x1=-5 and y2=1, x2=4
gradient={(y2-y1)÷(x2-x1)}
gradient={1-(-4)}÷{4-(-5)}
gradient=(1+4)÷(4+5)
gradient=5÷9 OR 0.5555
To find the equation interm of x
we substitute for the gradient in the formula
y-y1=gradient (x-x1)
y-(-4)=(5÷9)(x-×-5)
y+4=(5÷9)(x+5)
y+4=(5x+25)÷9 Cross multiply ✖️
9(y+4)=(5x+25)(1)
9y+36=5x+25 collect like terms
9y=5x+25-36
9y=5x-11 divide both sides by 9
y=(5x-11)÷9.......ans
travis paid $27.50 for 11 pounds of grapes how much would travis pay for 4 pounds of grapes
PLEASE ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)
Answer:
Line 1: (9+x)x
Line 2: x(9 + x)
The order of multiplies changed.
This is called a Commutative Property of Multiplication.
ab = ba or(9 + x)x = x(9 + x)Line 3: x(x+9)
The order of added terms within parenthesis changed.
This is called a Commutative Property of Addition.
a + b = b + a9 + x = x + 9Line-1 to Line 2- Commutative property of multiplication
Line-2 to Line-3 =Commutative property of addition
Lets solve
[tex]\\ \rm\longmapsto (9+x)x[/tex]
[tex]\\ \rm\longmapsto x(9+x)[/tex]
[tex]\\ \rm\longmapsto x(x+9)[/tex]
[tex]\\ \rm\longmapsto x^2+9x[/tex]
Identify A, B and C when the following function is written in Standard Form:
3y - 5 = 0
A=
B =
C=
2/3|3x-6|=4(x-2)
solve for x; show your work
Will award brainliest
What is the exact maximum and minimum values of f(x)=[tex]\sqrt{x+x^2} -2\sqrt{x}[/tex] on [0,4]?
Answer:
[tex]\displaystyle \text{min} = \frac{\sqrt{3+2\sqrt{3}}}{2} - \frac{2\sqrt[4]{3}}{\sqrt{2}} \text{ at } x = \frac{\sqrt{3}}{2}\text{ and } \\ \\ \text{max} = 2\sqrt{5} -4 \text{ at } x = 4[/tex]
Step-by-step explanation:
We want to find the maximum and minimum values of the function:
[tex]\displaystyle f(x) = \sqrt{x + x^2} - 2\sqrt{x}[/tex]
On the interval [0, 4].
First, evaluate its endpoints:
[tex]\displaystyle \begin{aligned} f(0) &= \sqrt{(0)+(0)^2} - 2\sqrt{0} \\ &= 0 \\ \\ f(4) &= \sqrt{(4)+(4)^2} - 2\sqrt{(4)} \\ &= 2\sqrt{5} -4 \end{aligned}[/tex]
Recall that the extrema of a function occurs at its critical points; that is, where its derivative equals zero (or is undefined).
Take the derivative of both sides:
[tex]\displaystyle f'(x) = \frac{d}{dx}\left[ \sqrt{x + x^2} - 2\sqrt{x}\right][/tex]
Differentiate:
[tex]\displaystyle \begin{aligned} f'(x) &= \frac{1}{2\sqrt{x + x^2}} \cdot (1 + 2x) - 2\left(\frac{1}{2\sqrt{x}}\right) \\ \\ &= \frac{2x+1}{2\sqrt{x+x^2}} - \frac{1}{\sqrt{x}} \\ \\\end{aligned}[/tex]
Note that the derivative is undefined at x = 0. Hence, x = 0 is a critical point.
Solve for the zeros of the derivative:
[tex]\displaystyle\begin{aligned} \frac{2x+1}{2\sqrt{x + x^2}} - \frac{1}{\sqrt{x}} &= 0\\ \\ \frac{2x+1}{2\sqrt{x}\sqrt{1 + x }} - \frac{1}{\sqrt{x}} &= 0 \\ \\ \frac{2x+1}{2\sqrt{1+x}} - 1 &= 0\\ \\ 2x + 1 &= 2\sqrt{1+x} \\ \\ 4x^2 + 4x + 1 &= 4 + 4x \\ \\ x^2 &= \frac{3}{4} \\ \\ x= \frac{\sqrt{3}}{2} \end{aligned}[/tex]
Therefore, our only two critical points are at x = 0 and x = √3/2:
Evaluate the function at x = √3/2:
[tex]\displaystyle \begin{aligned} f\left(\frac{\sqrt{3}}{2}\right) &= \sqrt{\left(\frac{\sqrt{3}}{2} \right)+ \left(\frac{\sqrt{3}}{2}\right)^2} - 2 \sqrt{\left(\frac{\sqrt{3}}{2}\right)} \\ \\ &= \frac{\sqrt{3+2\sqrt{3}}}{2}- \frac{2\sqrt[4]{3}}{\sqrt{2}} \\ \\ &\approx -0.5900\end{aligned}[/tex]
In conclusion: the exact maximum and minimum values of f on the interval [0, 4] is:
[tex]\displaystyle \text{min} = \frac{\sqrt{3+2\sqrt{3}}}{2} - \frac{2\sqrt[4]{3}}{\sqrt{2}} \text{ at } x = \frac{\sqrt{3}}{2}\text{ and } \\ \\ \text{max} = 2\sqrt{5} -4 \text{ at } x = 4[/tex]
pls say hard very hard
(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.
(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?
On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:
50 ≤ score ≤ 60 ==> 50-60
60 < score ≤ 70 ==> 60-70
70 < score ≤ 80 ==> 70-80
80 < score ≤ 90 ==> 80-90
90 < score ≤ 100 ==> 90-100
Then a student who scored a 60 should be added to the 50-60 category.
15. Ankita bought 20 copy for Rs. 25 each. She got profit of Rs.200 while selling it. Find selling price of the copies. no
Answer:
SP=Rs.700
Step-by-step explanation:
cost price of a copy=R's.25
cost price of 20copy=20×25=Rs.500
profit=Rs.200
selling price of 20 copies=?
Now, we know that,
profit=sp-cp
or, 200=sp-500
or, 200+500=sp
thus, SP=Rs.700
Hence, the selling price of 20copies is 700.
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. What is the probability that a randomly selected marble is not blue?
Answer:
.75
Step-by-step explanation:
8 red marbles, 3 blue marbles, and 1 green marble = 12 marbles
P( not blue) = marbles that are not blue / total
=(8red+1 green) / 12
=9/12
= 3/4
.75
Can someone help me please and show work , thank you
Answer:
55 degrees
Step-by-step explanation:
Hi there!
The sum of the interior angles of a triangle is always 180 degrees.
We can solve for the interior angles at the bottom by subtracting both 135 and 100 from 180 (because straight lines have a measure of 180 degrees too):
180-135 = 45 degrees
180-100 = 80 degrees
Now, to solve for the final angle at the top, subtract 80 and 45 degrees from 180:
180-80-45 = 55 degrees
This angle at the top measuring 55 degrees is the opposite angle of x. Opposite angles are always congruent, so therefore, x measures 55 degrees.
I hope this helps!
If your destination is 60 miles away, how many mph do you have to travel, in order to get there in 15 minutes
Answer:
4 miles per hour
Step-by-step explanation:
Completa la demostración:si los ángulos adyacentes a una base de un trapecio son congruentes entonces el trapecio es isósceles.
Dado:ángulo ABE congruente con DCE,
Demostrar:AB paralelo a DC
Answer:
Ab paralelo DC
Step-by-step explanation:
Pls help
The formula for the volume of a pipe with outer radius R, inner radius r and length L is
V=π(R2 − r2)L
What is the value of V when π = 22/7, R =11, r = 9 and L = 7?
Answer:
V=880
Step-by-step explanation:
V=π(R^2 − r^2)L
V=(22/7)*7*(11^2-9^2)
V=880
20. Determine whether the given points are on the graph of y = 3x + 2.
Select all points that lie on the graph.
(2,0)
(2,8)
(3,9)
(5,17)
Answer:
The points that were given are not on the graph of y=3x+2.
Step-by-step explanation:
The slope is 3 and the y-intercept is 2 so on the graph you rise three times from the point (0,0) to (0,3) then you run twice to the right so your first plot would be (2,3). After following the same process the next three plots would be (4,6),(6,9),&(8,12). So those plots that were given are incorrect. Remember y=mx+b
Mx is your slope to rise with and b is your y-intercept to run with.
Rise/run. I just put the important stuff in bold.
Hope this helped you out! Ask any question if you don't understand below and I'll get back to you.
Type your answer into the box and choose the correct answer. Gifts are packaged in cylinders. Each cylinder is 12 cm high with a diameter of 8 cm. Calculate the volume of each cylinder. Use 3 as a value for TT Give your answer using the correct units. Select...
Answer:
volume of a cylinder
V= TTr² h
V= volume
TT= pie
h= height
Step-by-step explanation:
Note: radius is 2times diameter ... if you are given diameter and to convert to radius, divide the diameter by 2
V=TTr²h
r= 8/2 =4cm
V= 3×4²×12
V=3×16×12=576cm³
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
10x + 2y = -10
Answer:
y = -5x - 5.
Step-by-step explanation:
10x + 2y = -10 Add -10x to both sides:-
2y = -10x - 10 Divide through by 2:-
y = -5x - 5.
Please help! will mark brainliest.
only answer if you truly know
Find (ƒ – g)(x) where ƒ(x) = –x^2, g(x) = –(x + 4)^2
(ƒ – g)(x) = –8x – 16
(ƒ – g)(x) = –2x2 + 8x + 16
(ƒ – g)(x) = –2x2 – 8x – 16
(ƒ – g)(x) = 8x + 16
Answer:
D
Step-by-step explanation:
We are given the two functions:
[tex]f(x) = -x^2 \text{ and } g(x) = -(x+4)^2[/tex]
And we want to find:
[tex](f - g)(x)[/tex]
Recall that this is equivalent to:
[tex]= f(x) - g(x)[/tex]
Substitute:
[tex]\displaystyle = (-x^2) - (-(x + 4)^2)[/tex]
Simplify:
[tex]= -x^2 + (x+4)^2[/tex]
Perfect square trinomial:
[tex]= -x^2 + (x^2 + 8x + 16)[/tex]
Combine like terms. Therefore:
[tex]= 8x + 16[/tex]
In conclusion:
[tex](f - g)(x) = 8x + 16[/tex]
Our answer is D.
2. Consider the division operations below and choose whether the result can be rational,
irrational, or both.
Expressions
Rational
Irrational
O
O
Flá na por laskas
5
16
o
o
Answer:
All are rational.
Step-by-step explanation:
1)
=1/3/3/5
=1/3×5/3
=5/9
5/9 is non-terminating and recurring number so it is rational.
2)
4/3√9/5
=4/3*3/5
=4/5
4/5 is a terminating number it is rational.
3)
2*√16/√4
=2*4/2
=4
4 is a natural/whole number it is also rational.
Note:if you need to ask any questions please let me know.
the cost of a copy is ₹ 5 and 3 upin 4 and that of a book is ₹ 15 and 5 upon 6. which costs more and by how much?
Step-by-step explanation:
here ,
the total cost of copy is rs 5 and 3 upin 4 =5.75
the total cost of book is rs 15 and 5 upon 6 =12.5
so the cost of book is more then copy by 6.75(12.5-5.75)
7-15
Dividing decimals
Answer:
7-15= -8
Step-by-step explanation:
What is 432,553,602 in word form.
Answer:
four hundred and thirty two million, five hundred and fifty three thousand, six hundred and two
Step-by-step explanation:
Answer:
Four hundred thirty-two million, five hundred fifty-three thousand, six hundred and two.
Step-by-step explanation: