Answer:
Exact form: 32977/100
Decimal form: 829.77
Mixed number form: 829 77/100
Step-by-step explanation:
a.
In 1983, a cast-iron pan cost $28.35. Today, a cast-iron pan costs $52.95. If the CPI is 166, what is the percent relation of the
actual price of a cast-iron pan to the expected price?
The actual price is 11.1% lower than the expected price.
The actual price is 20.8% lower than the expected price.
The actual price is 31.5% higher than the expected price,
d The actual price is 12.5% higher than the expected price.
b
C
Please select the best answer from the choices provided
Ο Α
B
O CO
OD
Answer:
D. The actual price is 12.5% higher than the expected price.
Step-by-step explanation:
hope i helped :)
Calculus Problem shown in the attached image. I understand the concept of integrals but this particular question has me perplexed. I doubt its all that complex I just don't fully understand what its asking.
(a) For some given x, A(x) gives the signed area under f(t) on the interval [a, x]. Since f(t) is simple to integrate, and with a = 2, you can compute it exactly:
A(x) = ∫₂ˣ f(t) dt
A(x) = ∫₂ˣ (3t + 2) dt
A(x) = (3/2 t ² + 2t ) |₂ˣ
A(x) = 3/2 x ² + 2x - 10
which is parabolic and easy to graph.
(b) Differentiating A(x) is also easy if you use the "closed" form above:
A'(x) = (3/2 x ² + 2x - 10)'
A'(x) = 3x + 2
and this function tells you how the area under f(t) changes as you adjust the size of the integration interval.
You can get the same result using the fundamental theorem of calculus:
A'(x) = d/dx ∫₂ˣ f(t) dt = f(x) = 3x + 2
help!!!!!!!!!!!!!!!!! due in 15min
Answer:
5
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
When you put the i out in place for x you multiply so
4x9=36
7x9=63
2x9=18
9x9=81
After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 ratio in the division. Oly analysts and engineers work in the new division. How many more analysts must the company add to the division if it wants to have a 1:1 ratio of engineers to analysts at the new division?
Answer:
I think its 90
Step-by-step explanation:
3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45
you need 90 more analysts to have a 1 to 1 ratio
Ten little monkeys were jumping on a bed. There is a 35% chance that one will fall off and bump his head. In the bedroom next door, five kangaroos were jumping on a bed. Being more adept at jumping, there is only a 20% that a kangaroo will fall off the bed.
1. What are the chances that a monkey and a kangaroo will fall off the bed?
2. What are the chances that a monkey will not fall off the bed?
3. If the monkeys enjoy this activity every night for an entire week, what are the chances that a monkey falls off the bed every one of the seven nights?
4. What are the chances that if the monkeys jump every day for a week that at least one will fall off of the bed?
5. What are the chances that the kangaroos can get away with jumping on the bed for 4 straight nights until they finally have someone fall off the bed on the night?
6. What are the chances that the kangaroos can jump two nights in a row with no one falling off the bed?
7. The monkeys manage to go a whole week without someone bumping their head. One of the kangaroos insists that they are due for an injury. Another says they must be getting better at their jumping skills. Do you think they're due for a crash?
Answer:
0.07 ; 0.65 ; 0.00064339296875 ; 3.02 * 10^-12
Step-by-step explanation:
Given :
Number of monkeys, n1 = 10
Probability of fall, off ; p(m) = 35% = 0.35
Number of kangaroos, n2 = 5
Probability of fall, off : p(k) = 20% = 0.2
1.) A monkey and kangaroo falls off;
p(m) * p(k) = 0.35 * 0.2 = 0.07
2.) probability that monkey will not fall off;
1 - p(m) = 1 - 0.35 = 0.65
3.) probability that a monkey falls off every one of seven nights :
P(m) = 0.35 ; for 7 nights ;
0.35 *0.35 * 0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.35^7 = 0.00064339296875
4.)
P(x ≥ 1) = p(1) + p(2) +... + p(10)
Using binomial probability calculator :
n = 7*10 = 70 ; p = 0.35
P(x ≥ 1) = 70C1 * 0.35^1 * 0.65^69 = 3.02 * 10^-12
can anyone please help with this???
Answer:
car is decelerating
Step-by-step explanation:
Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a C, and 2 earned a D on the last science test. If she randomly surveys one more student from the class, what is the experimental probability that the student would have earned an A on the test.
Answer:
0.4 or 2/5
Step-by-step explanation:
Dana surveyed 20 students in total and out of those 20 only 8 got an A
so:
[tex]\frac{8}{20}[/tex] now if you simplify it [tex]\frac{4}{10}[/tex] and if you simplify it again:
[tex]\frac{2}{5}[/tex] or 0.4 in decimal
Which ratio is proportional to 35/7?
a)20/4 b) 15/2 c) 25/6 d) 12/2
Answer:
the answer is b i hope it helps
Find area of shaded. Exact answer of pi
Urgent help need it plz
Answer:
angle 1 = 51
angle 2 = 34
angle 3 = 95
angle 4 = 38
angle 5 = 47
angle 6 = 74
angle 7 = 59
Step-by-step explanation:
a straight line is 180 degree, so to find angle 1, subtract 129 by 180.
angle 2 is found by adding angle 1 and 95 then subtract that by 180.
angle 3 and 95 are opposite angles, so they are the same
for angle 4, add angle three and 47 then subtract that by 180
angle 5 is 47, they are opposite
angle 7, subtract 121 by 180
angle 6, you add angle 5 and 7, and subtract that by 180
Change 41 out of 50 to a percentage.
Step-by-step explanation:
50x=41*100
50x=4100
x=4100/50
x=82%
can someone explain this to me?? so im trying to find the scale factor of quadrilateral I to quadrilateral II and the answer is 1/2 but how does that make sense if quadrilateral I is smaller than Quad II? if we were to use the scale factor wouldnt it just divide our side lengths in half?
Answer:
the scale factor is 1/2 you are right and that is credible as the larger cd is 20 and smaller bc 10 which make out that it is half of the other Quad and the marking on the edge makes clear us that it is equal whatever the drawing is.
Step-by-step explanation:
BC=2CD
10x=20
x=10/20
x=1/2
if u want to find the other angle then it is 2 times of the smaller quad that will be:
AG=FE
15=2(15)=30
AB=ED
9=2(9)=18
GC=FC
13=2(13)=26
a classroom is 2.8m high and has a volume of 182m3. calculate the floor area of the classroom
The area is the volume divided by the height.
Area = 182 / 2.8
Area = 65 square meters
Area of the classroom floor is equals to [tex]65m^{2}[/tex].
What is area?" Area is defined as the total space occupied by any two dimensional object."
Formula used
Volume of a cuboid = Length × width × height
Area of a classroom floor = length × width
According to the question,
Given,
Height of a classroom = [tex]2.8m[/tex]
Volume of a classroom =[tex]182 m^{3}[/tex]
Substitute the value in the formula of volume we get,
182 = Length × width × 2.8
⇒Length × width = [tex]\frac{182}{2.8}[/tex]
⇒Length × width =[tex]65m^{2}[/tex]
Therefore,
Area of the classroom floor =[tex]65m^{2}[/tex]
Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].
Learn more about area here
https://brainly.com/question/27683633
#SPJ2
Brenda purchased a new watch in 2012. The value of her watch, t years after she bought
it, can be modeled by the function A(t) = 117(0.93)
Drag and drop the correct number or phrase to left of each sentence to make the
sentence true for the function
Answer:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
Step-by-step explanation:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
The following information should be considered:
Since the function A(t) = 117(0.93)So it means that the rate of change should be modeled by 0.93.There is the reduction in the value. Also it is 7% change per year.learn more: https://brainly.com/question/834969?referrer=searchResults
Nikki dove into a pool and swam underwater. The table shows how her depth changed during a 4-second time period.
Which equation shows the relationship in the table between the time, t, and the depth, d?
Answer:d
Step-by-step explanation:
what is the answer 2x5-5=
Help me out to get this math problem solve
Answer:
1. 1900 children.
2. 600 adults.
Step-by-step explanation:
Let c represent the number children.
Let a represent the number of adult.
From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:
2500 = c + a ..... (1)
From the question given above, we were told that:
Cost per child = $ 2
Cost per adult = $ 4
Total amount collected = $ 6200
Thus, we can write the above as:
6200 = 2c + 4a .....(2)
Summary:
2500 = c + a ..... (1)
6200 = 2c + 4a .....(2)
1. Determination of the number of children that attended the fair.
From equation 1
2500 = c + a
Make a the subject by rearranging
a = 2500 – c ....... (3)
Substitute the value of 'a' in equation 3 into equation 2
6200 = 2c + 4a
a = 2500 – c
6200 = 2c + 4(2500 – c)
Clear bracket
6200 = 2c + 10000 – 4c
Collect like terms
6200 – 10000 = 2c – 4c
–3800 = –2c
Divide both side by –2
c = –3800 / –2
c = 1900
Thus, 1900 children attended the fair
2. Determination of the number of adults that attended the fair.
Substitute the value of c into equation 3.
a = 2500 – c
c = 1900
a = 2500 – 1900
a = 600
Thus, 600 adults attended the fair.
aight man can someone help me lol
Answer: 11/24
Step-by-step explanation:
whenever u see this — (
it means the opposite of. so the opposite of -5/8 is +5/8.
-1/6 + 5/8 = 11/24
The tape diagram represents the ratio of your monthly allowance to your friend's monthly allowance. The monthly allowances total $90. How much is each allowance?
you [][][][][]
friend[][][][]
Your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.
From the given tape diagram, the ratio of your monthly allowance to your friend's monthly allowance is 5:4.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, 5+4=9
Now, your monthly allowance = 5/9 × 90
= 50
So, your friend's monthly allowance = 90-50 = 40
Therefore, your monthly allowance and your friend's monthly allowance is $50 and $40 respectively.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ2
Write an equation for line L in point-slope form and slope-intercept form.
L is perpendicular to y=4x.
Answer:
[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope
Step-by-step explanation:
Given
Perpendicular to [tex]y = 4x[/tex]
Required
Determine its equation
The general form of an equation is:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = 4[/tex]
Next, we calculate the slope of L.
Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4 for m
[tex]m_2 = -\frac{1}{4}[/tex]
The equation of L in slope intercept form is: [tex]y = mx + c[/tex]
Substitute -1/4 for m
[tex]y = -\frac{1}{4}x + c[/tex]
In point slope form, we have:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute -1/4 for m
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]
Answer:
y-4=-1/4(x-1)
y=-1/4x+17/4
Step-by-step explanation:
12(x - 1) = - 4(3-X) + 8x
This equation has infinite solutions, any real number makes it true.
y = 5x - 10
Can you solve for x
Answer:
[tex]x = \frac{1}{5}y + 2[/tex] or [tex]x = \frac{y+10}{5}[/tex] (Not sure which one is preferred in your case)
Step-by-step explanation:
Key skills needed: Evaluating expressions
1) We are given: [tex]y = 5x-10[/tex]
2) To solve for the x variable, we want to leave the term with "x" by itself.
This means we add 10 to both sides
--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)
3) Then we divide by 5 on both sides to get "x" completely by itself.
-----> [tex]\frac{y+10}{5} = x[/tex]
4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]
or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]
(I am not sure which form is preferred one is preferred as the teacher matters)
Hope you understood and have a nice day!!
PLEASE HELP!!!! WILL GIVE POINTS
Answer:
3.0
Step-by-step explanation:
given the function f(x)=5x-3/4,which of the following is correct?
Answer:
3) [tex]f^{-1}(x)=\frac{4x+3}{5}[/tex]
what is 32% of 655????
Answer:
209.6
Step-by-step explanation:
Answer:
209.6
plz mark as brainliest
What is 3x-6+7y-4y plsssssssssss helpppppppp meeere
Answer:
3
+
3
−
6
Step-by-step explanation:
Each day a company used 2 / 8 of a box of paper. How many would they have used after 5 days?
Answer:
Now to secrtly stalk this man
Step-by-step explanation:
They have used after 5 days, 1 full box and 1/4 of another box.
What is fraction?Fractions are used to represent smaller pieces of a whole.
Given that, Each day, a company used 2 / 8 of a box of paper.
They are using 1/4 box of paper each day,
So, after 5 days = 5*1/4 = 5/4 = 1+ 1/4
Hence, They have used after 5 days, 1 full box and 1/4 of another box.
For more references on fraction, click;
https://brainly.com/question/10354322
#SPJ2
Please answer quick!!! Will Mark BRAINLIEST!!!
Answer:
picture 1 : 360 cm2
picture 2: sorry I don't really know
picture 3: 11.25 cm2
Step-by-step explanation:
hope this helps
Homework help ???????????
Answer:
15
Step-by-step explanation:
The calculation is:
endamount - startamount divided by number of days.
(237-27) / 14 = 15
Answer:
237 - 27 = 210 (she already had 27 to start, so subtract that from the total)
210 ÷ 14 = 15 (divide by 14 because there are 14 days in two weeks)
so she bought 15 stickers each day
The perimeter of a square is 52 cm.
Calculate the area of the square.
Answer:
52/4 = 13
13 X 13 = 169 cm squared
