Answer:
32 kg
Step-by-step explanation:
A photographer buys a new camera for $1350. Every year the camera decreases in value by 10%.
Which exponential function can be used to find the value of the camera after t years?
A(t)=1350(1.1)t
A(t)=1350(1.9)t
A(t)=1350(0.1)t
A(t)=1350(0.9)t
Answer:
a(t)=1350(1.9)t this is
Five students were given a page of problems with instructions to solve as many as they could in one hour. The five students solved the following number of problems: 12, 10, 8, 6, and 4. What is the arithmetic mean number of minutes required per problem
Answer:
We will first find out average time of each student.
Student 1 = 60 / 12 = 5
Student 2 = 60 / 10 = 6
Student 3 = 60 / 8 = 7.5
Student 4 = 60 / 6 = 10
Student 5 = 60 / 4 = 15
Now we will take the arithmatic mean of all students average time.
A = (5+6+7.5+10+15)/5 = 43.5/5 = 8.7 minutes per problem
A number increased by 20% of the number result is 11. What is the number?
Answer:
9.167
Step-by-step explanation:
120% is 11
100% is x
[tex]\frac{11*100}{120} \\\\= \frac{110}{12}\\[/tex]
≅ 9.167
Periodic grab some phase shifts
Answer:
The sine function is:
[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]
Step-by-step explanation:
We need to recall that a sine function can write as:
[tex]y(x)=Asin[B(x+C)]+D[/tex]
Where:
A is the amplitude of the functionB is the periodC is the phase shift leftD is the vertical shiftSo we just need to use the listed attributes
Therefore, the sine function is:
[tex]y(x)=\frac{2}{3}sin[3\pi (x-\frac{2\pi}{3})]-2[/tex]
I hope it helps you!
You score an 83 on the first of two exams. Write and solve an
equation to find the score x that you need on the second exam to
have a mean score of 85.
Answer: The mean is the same as the average. In order to find the mean, or average score of the two tests, you need to take the sum of the two tests, and then divide by the number of tests, which is two.
We don't know the score of the second exam. Let it = x
Then we have the following equation:
(88 + x)/2 = 93
88 + x = 2 * 93
88 + x = 186
x = 186 - 88 = 98
You need to score a 98 on the second test
Need help on this one
Answer:
60%
Step-by-step explanation:
what is the slope !! HELP ME ASAP
Answer:
-7/4
Step-by-step explanation:
Since the graph is moving down the slope has to be negative we need to write the answer in rise over run rise as in the y range and run as in x range
What is the measurement of the angle below?
please help i will give extra points
ill do it for you, and all your hw for cashapp. txt me for the deatails on insta kk_iwi
Which inequality is shown in this graph?
(0, 3)
5
(2, -3)
Answer:
It would be A
I think I forgot I didn't this like 2 weeks ago
WO-Step Equations Pra
Solve each equation.
1) 3+ 5r=-47
Answer:
r=-10 Hope this helps! If I could have brainliest I'm trying to level to level up.
Step-by-step explanation:
Let's solve your equation step-by-step.
3+5r=−47
Step 1: Simplify both sides of the equation.
5r+3=−47
Step 2: Subtract 3 from both sides.
5r+3−3=−47−3
5r=−50
Step 3: Divide both sides by 5.
5r/5=-50/5
r=−10
Answer:
r=−10
5÷(4-3).3 evaluat'te
Answer:
1.5 thats the answer
Step-by-step explanation:
1.5
Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand service to two nearby towns, Springfield and Shelbyville. There needs to be cable connecting Centerville to both towns. The idea is to save on the cost of the cable by arranging the cable in a Y-shaped configuation. Centerville is located at ( 10 , 0 ) in the x y -plane, Springfield is at ( 0 , 5 ) , and Shelbyville is at ( 0 , − 5 ) . The cable runs from Centerville to some point ( x , 0 ) on the x -axis where it splits into two branches going to Springfield and Shelbyville. Find the location ( x , 0 ) that will minimize the amount of cable between the 3 towns and compute the amount of cable needed. Justify your answer.
To solve this problem we need to minimize the following function of x : f ( x ) =
We find that f ( x ) has a critical number at x =
To verify that f ( x ) has a minimum at this critical number we compute the second derivative f ' ' ( x ) and find that its value at the critical number is ,
a positive number. Thus the minimum length of cable needed is
Answer:
hi i dont understand this
Step-by-step explanation:
sorry
The function will be
[tex]f(x) = 9 - x + \sqrt[2]{ {x}^{2} + 9} [/tex]
and minimum value required will be
[tex]9 + \sqrt[3]{3} [/tex]
How to solve this problem?The steps are as follow:
[tex]f(x) = (9 - x) + \sqrt[2]{ (x^2 + 3^2) } \\ =(9 - x) + \sqrt[2]{ (x^2 +9)} \\ f(x) = \frac{2x}{ \sqrt{ {x}^{2} + 9} } - 1 \\ f(x) = 0 \\ \frac{2x}{ \sqrt{ {x}^{2} + 9} } - 1 = 0 \\ \frac{2x}{ \sqrt{ {x}^{2} + 9}} = 1 \\ 2x = \sqrt{ {x}^{2} + 9} \\ 4{x}^{2} = { x}^{2} + 9 \\ 3 {x}^{2} = 9 \\ {x} = \sqrt{3} [/tex]
so putting value of in f(x) we will get
[tex]f( \sqrt{3} ) = 9 - \sqrt{3} + \sqrt[2]{ { (\sqrt{3} )}^{2} + 9} \\ = 9 + 2 \sqrt{3} [/tex]
So The function will be
[tex]f(x) = 9 + \sqrt[2]{ {x}^{2} + 9}[/tex]
and minimum value required will be
[tex]9 + \sqrt[3]{3} [/tex]
Learn more about functions here:
https://brainly.com/question/2833285
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Tamar surveyed six friends, asking each how many times he or she had ridden in a helicopter. The numbers of times she recorded were 0, 0, 0, 1, 3, and 8.
What is the mean absolute deviation of the number of times?
Round to the nearest tenth, if needed.
a. 0
b. 2
c. 2.3
d. 2.5
well, to do this we first need to find the mean of all values.
we need to find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)
Then find the mean of those distances.
so, after we do all of that with the given numbers, our final result would be 2.333333333..... (It goes on) we round it up to 2.3, and viola! the answer is C.
Answer: the answer is c
Step-by-step explanation: i took the test
Frank can paint houses at the rate of 2/3 houses per week.
The value of the ratio is (colon form)
Frank paints for 12 weeks, he will paint houses.
Frank paints 10 houses, it will take him weeks.
Answer:
0.25
Step-by-step explanation:
Consider the expression 40+24 . Find the greatest common factor of the two numbers and use the distributive property to rewrite the expression
Hi there!
[tex]\large\boxed{8(5+3)}}[/tex]
The greatest common factor of 40 and 24 is 8.
8 goes into 40 5 times:
8 goes into 24 3 times.
We can rewrite this expression for distribution using the amount of times 8 goes into both numbers:
8(5 + 3)
Using this, we get:
8(5) + 8(3) = 40 + 24.
5th grade math. correct answer will be marked brainliest.
Answer:
common denominator: 48
Step-by-step explanation:
common denominator: 8x6=48
1/8 = 6/48
1/6= 8/48
Please help with algebra
Answer:
i think the answer is B
Step-by-step explanation:
formula is A^2+B^2=(A+B)(A-B)
Pls help this so hard
Answer:
616 cm²
Step-by-step explanation:
small cube (4 sides) = 8 x 3 x 4 = 96
large cube (4 sides) = 7 x 10 x 4 = 280
top and bottom of large cube = 12 x 10 x 2 = 240
(we would deduct the 3 x 3 area from the top of the large cube and add a 3 x 3 area for the top of the small cube. So that cancels each other out.)
total surface area = 96 + 280 + 240 = 616 cm²
Marlis has 765 songs on her ipod she deletes 153 of the songs what is the percent of decreasse in the number of songs on her ipod
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
X2 -5
———
X-5
Is x-5 equal to the rational expression
Step-by-step explanation:
no it doesn't equal
!
☺☺☺☺☺..........
. Use 3.14
plss help
Answer:
A≈494.13
R = 12.54
D = 25.08
Step-by-step explanation:
Here is all the answers.
PLZZZZ give me brainliest!!!
How do you solve this using substitution method
17x+7y=20
Y=20x-42
Answer:
17 x + 7 y = 20
y =20x - 42
17 x + 7(20x - 42) = 20
17x + 140x - 294 = 20
157 x = 20 + 294
157x ÷ 157 = 314 ÷ 157
x = 2
y = 20x - 42
y = 20 (2) - 42
y = 40 - 42
y = -2
there for x = 2 and y = -2 is the solution
13) A certain radioactive isotope decays at a rate of 0.1% annually. Determine the half-life of this isotope, to the
nearest year.
C) 301 yr
D) 500 yr
A) 7 yr
B) 693 yr
Answer:
se__xxxx cha_t
Step-by-step explanation:
aaah aaaah
The edge of a cube was found to be 15 cm with a possible error in measurement of 0.2 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in computing the volume of the cube and the surface area of the cube. (a) the volume of the cube maximum possible error (in cm3) cm3 relative error (rounded to four decimal places) percentage error (rounded to two decimal places) % (b) the surface area of the cube maximum possible error (in cm2) cm2 relative error (rounded to four decimal places) percentage error (rounded to two decimal places) %
Answer:
[tex](a)[/tex]
[tex]Maximum\ Error = 27[/tex]
[tex]Relative\ Error = 0.008[/tex]
[tex]Percentage\ Error = 0.8\%[/tex]
[tex](b)[/tex]
[tex]Maximum\ Error = 36[/tex]
[tex]Relative\ Error = 0.0267[/tex]
[tex]Percentage\ Error = 2.67\%[/tex]
Step-by-step explanation:
Given
[tex]x = 15[/tex] -- edge length
[tex]\triangle x = 0.2[/tex] -- possible error
Solving (a): Errors in volume
The volume of a cube is:
[tex]V(x) = x^3[/tex]
Differentiate
[tex]\frac{dV}{dx} = 3x^2[/tex]
Make dV the subject
[tex]dV =3x^2dx[/tex]
Rewrite as:
[tex]\triangle V = 3x^2 \triangle x[/tex]
Substitute values for x and [tex]\triangle x[/tex]
[tex]\triangle V = 3 * 15^2 * 0.2^2[/tex]
[tex]\triangle V = 27[/tex]
Hence:
[tex]Maximum\ Error = 27[/tex]
The relative error is then calculated as:
[tex]Relative\ Error = \frac{Maximum\ Error}{Volume}[/tex]
[tex]Relative\ Error = \frac{27}{x^3}[/tex]
[tex]Relative\ Error = \frac{27}{15^3}[/tex]
[tex]Relative\ Error = \frac{27}{3375}[/tex]
[tex]Relative\ Error = 0.008[/tex]
The percentage error is:
[tex]Percentage\ Error = Relative\ Error * 100\%[/tex]
[tex]Percentage\ Error = 0.008 * 100\%[/tex]
[tex]Percentage\ Error = 0.8\%[/tex]
Solving (a): Errors in Surface Area
The volume of a cube is:
[tex]A(x) =6x^2[/tex]
Differentiate
[tex]\frac{dA}{dx} =12x[/tex]
Make dA the subject
[tex]dA = 12xdx[/tex]
Rewrite as:
[tex]\triangle A =12x\triangle x[/tex]
Substitute values for x and [tex]\triangle x[/tex]
[tex]\triangle A =12 *15 * 0.2[/tex]
[tex]\triangle A =36[/tex]
Hence:
[tex]Maximum\ Error = 36[/tex]
The relative error is then calculated as:
[tex]Relative\ Error = \frac{Maximum\ Error}{Surface\ Area}[/tex]
[tex]Relative\ Error = \frac{36}{6x^2}[/tex]
[tex]Relative\ Error = \frac{36}{6*15^2}[/tex]
[tex]Relative\ Error = \frac{36}{1350}[/tex]
[tex]Relative\ Error = 0.0267[/tex]
The percentage error is:
[tex]Percentage\ Error = Relative\ Error * 100\%[/tex]
[tex]Percentage\ Error = 0.0267* 100\%[/tex]
[tex]Percentage\ Error = 2.67\%[/tex]
Write an equation or inequality.
A number times three increased by seven is 25.
What is the value today of a 15-year annuity that pays $650 a year? The annuity’s first payment occurs six years from today. The annual interest rate is 11 percent for Years 1 through 5, and 13 percent thereafter.
Based on the amount that the annuity pays yearly and the annual interest rate, the value of the annuity today is $2,492.82.
How to find the value of the annuity?First, find the value of the annuity at the fifth year which is a year before the first payment. This value can be found by the formula:
= Annuity * (1 - (1 + r)^-n) / r
= 650 x (1 - (1 + 13%)^-15) / 13%
= 650 x 6.462379
= $4,200.55
The value today can then be found by discounting at the rate of 11%:
= Future value / (1 + rate) ^ number of years
=4,200.55 / 1.11^5
= $2,492.82
Find out more on the value of an annuity at https://brainly.com/question/25792915
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Selma went shopping and bought identical sweaters for each of 3 friends. If she spent $42, what was the cost of each sweater? Include your equation with your answer.
Answer:
14 dollars
Step-by-step explanation:
42 / 3 = x amount of dollars
14 = x
so every one sweater costs 14 dollars
6 times as much as x?
Do you need to create an algebraic expression? In that case, the answer would be 6x.
A Japanese bullet train travels 558 miles per 3 hours A. What is the rate B. How far does the train travel in 1 hour WHO EVER ANSWERS I WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
Remark
The rate is going to be the same as the distance travelled in 1 hour. The units will be different.
Formula
d = r * t
Givens
d = 558 miles
t = 3 hours
Problem A
r = d / t
r = 558/ 3 = 186 miles / hr
Problem B
Givens
r = 186 miles / hour
t = 1 hour
d = ?
Solution
d = 186 mi/hr * 1 hr
d = 186 miles
Note
This looks really trivial, but it's not. You have to learn to see the difference between a number and its units. It's not very often that the numbers will be the same, but if the units differ, then it is an entirely different question.