Answer:
Here we have the function:
S(t) = 500 - 400*t^(-1)
Then the rate of change at the value t, will be:
S'(t) = dS(t)/dt
This differentiation will be:
S'(t) = -400/t^2
Then:
a) the rate of change at t = 1 is:
S'(1) = -400/1^2 = -400
The rate of change after one year is -400
b) t = 10
S'(10) = -400/10^2 = -400/100 = -4
The rate of change after 10 years is -4, it reduced as the years passed, as expected.
Pls help with the circle area and perimeter
Answer:
circumference = 40.82 m
area = 132.67 m²
Step-by-step explanation:
circumference = diameter x π = 13 x 3.14 = 40.82 m
radius = diameter/2 = 13/2 = 6.5
area = πr² = )3.14)(6.5²) = 132.67 m²
F = 9/5C + 32 solve for f
Answer:
substitute the value for C
Step-by-step explanation:
with that you'd be able to solve for x
Answer pls and thank you
Answer:
54 degrees
Step-by-step explanation:
So, lets go over what we know.
Angle PRS is 90 degrees(we can tell by the small square shape inside of the angle)
We also know that Angle PR is 36 degrees.
We need to find x, angle RS.
To do this, lets subtract Angle PR from Angle PRS, or 36 from 90:
90-36
=
54
Since Angle PRS - Angle PR = Anlge RS, this means:
90-36=54
So 54 is our answer!
Hope this helps!
Marsha deposited $5,000 into a savings account 2 years ago. The simple interest rate is 3%. How much money did Marsha earn in interest?
Answer:
$300
Step-by-step explanation:
(5000)(2)(3/100)
=300
An airline operates a call center to handle customer questions and complaints. The airline monitors a sample of calls to help ensure that the service being provided is of high quality. Ten random samples of calls each were monitored under normal conditions. The center can be thought of as being in control when these samples were taken. The number of calls in each sample of not resulting in a satisfactory resolution for the customer is as follows:
4 5 3 2 3 3 4 6 4 7
Required:
a. What is an estimate of the proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control?
b. Construct the upper and lower limits for a p chart for the manufacturing process, assuming each sample has 100 calls.
Answer:
A) p = 0.041
B) UCL = 0.1004
LCL = 0
Step-by-step explanation:
We are told that Ten random samples of calls each were monitored .
Thus; n_x = 10
We are told that each sample has 100 calls. Thus; n = 100
A) We are given the number of calls in each sample not resulting in a satisfactory resolution for the customers as;
4 5 3 2 3 3 4 6 4 7
Thus, sum of this is;
Σx = 4 + 5 + 3 + 2 + 3 + 3 + 4 + 6 + 4 + 7
Σx = 41
proportion of calls not resulting in a satisfactory outcome for the customer when the center is in control is given by;
p = Σx/(n_x•n)
p = 41/(10 × 100)
p = 41/1000
p = 0.041
B) let's first find the standard deviation.
It's given by the formula;
σ = √(p(1 - p)/n)
σ = √(0.041(1 - 0.041)/100)
σ = 0.0198
Formula for Upper control limit(UCL) and Lower control limit(LCL) are given as;
UCL = p + 3σ
LCL = p - 3σ
Thus;
UCL = 0.041 + 3(0.0198)
UCL = 0.1004
LCL = 0.041 - 3(0.0198)
LCL = -0.0184
Rule is that when LCL is negative, we adopt LCL = 0.
Thus;
UCL = 0.1004
LCL = 0
What is 25% of 50= please help
Answer:
answer 12.5
Step-by-step explanation:
25% of 50 is 12.5 because 50 ÷ 4 = 12.5 Hope that helps!
What is the order of steps to calculate the volume of a prism?
Label the answer with the
Substitute the values
Simplify by multiplying.
Write the formula
Calculate the area of the
correct units
in for known variables.
V = Bh
prism base, B.
Answer:
answer in picture
Step-by-step explanation:
Graph the function f(x) = 2x − 4. Click the intercepts to show the coordinates.
y-intercept: (0, -4)
x-intercept: (0, 2)
Sorry if this wasn't what you were asking for, I'm not sure if I understood your question correctly. I don't know if you asking just to graph it or if you were asking for the x and y intercepts too, along with the graph. Either way, hope this helped!
Help With box and whisker plot! Will give brainless!
WHICH EXPRESSION CAN GO IN THE BLANK TO MAKE THE EQUATION TRUE.
-4.5+4.4+ ? =0
A -6.7 +6.8
B -6.7 +(-6.6)
C 7.2 + (-7.2)
D 7.2 + (-7.3) ILL GIVE YOU WILL GET 95 POINTS IF YOU HELP ME SOLVE THIS!! ASAP!!
Answer:its a
Step-by-step explanation:-4.5+4.4 is -0.1 so if you add that to -6.7 you get
-6.8 + 6.8 =0
hey guys may you help me with these questions 1 2 and 3
thank you
Answer:
1a. [tex]\frac{3}{4}[/tex]
1b. [tex]\frac{7}{10}[/tex]
1c. [tex]\frac{3}{10}[/tex]
1d. [tex]\frac{1}{3}[/tex]
2a. [tex]\frac{3}{4}[/tex]
2b. [tex]\frac{1}{5}[/tex]
2c. [tex]\frac{3}{10}[/tex]
2d. [tex]\frac{9}{10}[/tex]
2e. [tex]\frac{1}{20}[/tex]
3. [tex]\frac{1}{8}[/tex]
Sisters Sharon and Karen enjoy sleeping. Let X represent the number of hours Sharon sleeps each night, and let Y represent the number of hours Karen sleeps each night. The mean of X is 7.9, and the mean of Y is 8.4. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?
Mu Subscript s Baseline = 0.5; the mean amount of sleep Sharon and Karen get is 0.5 hours nightly.
Mu Subscript s Baseline = 8.15; the mean amount of sleep Sharon and Karen get is 8.15 hours nightly.
Mu Subscript s Baseline = 8.15; Sharon and Karen can expect to sleep a total of 8.15 hours, on average, nightly.
Mu Subscript s Baseline = 16.3; Sharon and Karen can expect to sleep a total of 16.3 hours, on average, nightly.
Answer: D
Step-by-step explanation: right on edge :)
[tex]\mu_S[/tex] = 8.15, the mean hours of sleep Sharon and Karen get is 8.15 hours nightly.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
Given, Two persons 'X' and 'Y' has mean sleeping hours of 7.9 and 8.4.
Therefore, The mean sleeping hours of both combined is (X + Y)/2 which is,
= (7.9 + 8.4)/2.
= 16.3/2.
= 8.15 hours.
learn more about mean, median, and mode here :
https://brainly.com/question/15323584
#SPJ2
9 - (4/9+1/3)
Write and solve a word problem for the expression
Answer:
9 pizzas total were bought for a party. Maya ate 1/3 of a pizza. John ate 4/9 of the same pizza. How much pizza is left?
Answer: 74/9 or 8.2
Step-by-step explanation:
first add 4/9 and 1/3 since it's in parenthesis
4/9+1/3
they need to have the same denominator, use the LCM (which is 9)
multiply 1/3 by 3 to achieve the LCM
4/9+3/9
add together numerators
7/9
subtract 7/9 from 9
9/1-7/9
get 9 to achieve the LCM (which is 9 again)
multiply 9/1 by 9
81/9 minus 7/9= 74/9
Carlos started an exercise program in
January. He kept a record of how many
sit-ups he did each day.
Which correlation value best describes
the data?
Your answer:
O r=-0.9
O r=-0.5
O r= 0
O r=0.5
r = 0.9
Convert. 19 ft = yd ft
Answer:
19 ft = 19/3 yd
Step-by-step explanation:
If 3 ft = 1 yd, then 19 ft = 1 yd * 19/3 ft = 19/3 yd
In most residence, the largest bedroom is considered the Masters Bedroom. Which bedroom would be considered the Masters Bedroom based on area? * bed room 2 bedroom 1
Answer:
Bedroom 2 will be considered as the Master bedroom.
Step-by-step explanation:
Area of bedroom 1 = Area of room 1 - Area of the closet 1
Area of the room 1 = Length × Width
= (2.5 + 1.4) × (4.3+0.6)
= 3.9 × 4.9
= 19.11 m²
Area of closet 1 = 1.5 × 0.6
= 0.90 m²
Area of bedroom 1 = 19.11 - 0.90
= 18.21 m²
Area of bedroom 2 = Area of room 2 - (Area of bathroom + Area of Hall)
Area of room 2 = (3 + 3.1) × (2.5 + 2.4)
= 6.1 × 4.9
= 29.89 m²
Area of bathroom = 3 × 2.5
= 7.5 m²
Area of Hall = 1.2 × 2.4
= 2.88 m²
Area of bedroom 2 = 29.89 - (7.5 + 2.88)
= 29.89 - 10.38
= 19.51 m²
Since, area of bedroom 2 is greater than bedroom 1.
Therefore, Bedroom 2 will be considered as the Master bedroom.
At Ken's school, tickets for a concert sold at the rate of 40 per half-hour. How many tickets were sold in 7 hours?
Answer:
560 Tickets
Step-by-step explanation:
40 tickets in 30 minutes will become 80 tickets in 60 minutes (an hour)
Multiply 80 by 7 to get 560
carsonkratsas can u help meh
Answer:
This might help and hopefully it clears ur doubts:
Step-by-step explanation:
I would really appreciate if any of you guys can help me on this please and thank you !!
Answer:
1.
a = 1 b = 3 c = 11
2.
a = 1 b = -7 c = -11
3.
a = 1 b = 4 c = -9
4.
a = 3 b = -1 c = 16
5.
a = 1 b = 0 c = -9
6.
a = 2 b = 5 c = 0
7.
a = -4 b = 0 c = -3
8.
a = 6 b = 0 c = 0
9.
a = -1 b = 1 c = 0
Hope this helps took me a long time to type
whoknowsthecorrectanswernofakeones
Answer:
The correct answer is 30 in.
Step-by-step explanation:
In order to find the diagonal length of the face of the suitcase, you need to use the Pythagorean Theorem, a formula used to calculate the sides of a right triangle. Since the length and width of the suitcase are 24 in. and 18. respectively, that means the diagonal length will be equal to [tex]\sqrt{24^2+18^2}[/tex] = [tex]\sqrt{576+324}[/tex] = [tex]\sqrt{900}[/tex] = 30 inches.
(14 ÷ 2) x 5 + 6
{ 3 x (4 + 1) } ÷ 5
EXPLAIN GIVING BRAINLIEST
Answer:
25
Step-by-step explanation:
(14÷2)×5+6(3×(4+1))÷5
using BODMAS
7×5+6(3×5)÷5
=7×5+6×15÷5
=35+90÷5
=125÷5
=25
Answer:
1. (14 ÷ 2) x 5 + 6 = 41
2. {3 x (4 + 1)} ÷ 5 = 3
Step-by-step explanation:
PEMDAS. VERY IMPORTANT. THIS ACRONYM WILL HELP YOU WHEN SOLVING MULTI-STEP PROBLEMS. IF YOU DO NOT KNOW IT, SEARCH IT UP. I'LL BE USING PART OF THIS ACRONYM TO SOLVE THIS PROBLEM.
First you solve things in paratheses:
1. (14 ÷ 2) x 5 + 6 -> (7) x 5 + 6
2. {3 x (4 + 1)} ÷ 5 -> {3 x 5} ÷ 5 -> 15 ÷ 5
Then, you multiply or divide next:
1. (7) x 5 + 6 -> 35 + 6
2. 15 ÷ 5 = 3
We already have the answer to number 2, but not number one, so we will keep going. Finally, you subtract or add:
1. 35 + 6 = 41
Now you have your answers. Hope this helps!
Triangle DEF with vértices D(2,1), E(3,5), F(6,2) is reflected acreage the x-axis to make triangle D’E’F
Which rule represents the transformation?
A. (x,y)—>( x,-y)
B. (x,y)—>(-x,y)
C. (x,y)—>(y,-x)
D. (x,y)—>(-y,x)
(Pls help I don’t understand)
b3 + y when
b = 3 and y = 4.5
Answer:
31.5
explanation if you need it -
b3 + y
when b = 3 and y= 4.5
b x b x b + y
1, substitute the values
3x3x3 + 4.5
27+ 4.5
31.5
The center of a circle is located at (2, -1). A point on the circle is located at (-3,-1). What is the approximate circumference of the circle?
A16 units
B31 units
C79 units
D100 units
Answer:
您同性恋
Step-by-step explanation:
solution of f'(x) = 9x2+2x (-2,2)
Answer:
f(x) = 3x³ + x² + 22
Step-by-step explanation:
Given
f'(x) = 9x²+2x
To get f(x), we will be integrating the function
f(x) = 9x³/3 + 2x²/2 + C
f(x) = 3x³ + x² + C
at (-2,2)
2 = 3(-2)³ +(-2)² + C
2 = -24 + 4 + C
2 = -20 + C
C = 2+20
C = 22
Get the required function
f(x) = 3x³ + x² + C
f(x) = 3x³ + x² + 22
This table goes through the pairs(51,-65) and (68,-78).What is the yintercept of the line?
Answer:
I think the y intercept is (0,-26)
Step-by-step explanation:
Answer:
(0, -26)Step-by-step explanation:
Find the slope:
m = (-78 + 65)/(68 - 51) = -13 / 17Use point-slope form to find the equation of the line:
y - (-65) = -13/17(x - 51)y = -13/17x + 39 - 65y = -13/17x - 26The y-intercept is - 26
HELP PLS
In the function n = p(m), the __________ is all the possible values of m, and the __________ is all the possible values of n
Answer:
420
Step-by-step explanation:
420 69
pls help!
how many faces does it have?
Answer:
6
Step-by-step explanation:
I just learned this!! :)
Answer:
it has 6 faces
Step-by-step explanation:
what are the equations and domain/range of each line?
15,30 is the answer to thois promblem
what are all the possibilities that make the inequality 2x + 3 > 11 that are TRUE
Answer: x > 4 OR (4, infinity)
Step-by-step explanation:
2x + 3 > 11 subtract 3
2x > 8 divide by 2
x > 4 your answer