Answers
The screen of the TV would be 34.42 at 30 minutes and the screen of the TV would be 35.86 at 130 minutes
How large would the screen of the TV beFrom the question, we have the following parameters that can be used in our computation:
y = 33.997 * 1.00041^x
At 30 minutes, the value of x is 30
So, we have
y = 33.997 * 1.00041^30
Evaluate
y = 34.42
So, the screen of the TV would be 34.42
How large would the screen of the TV beAt 130 minutes, the value of x is 130
So, we have
y = 33.997 * 1.00041^130
Evaluate
y = 35.86
So, the screen of the TV would be 35.86
Read more about exponential function at
https://brainly.com/question/2456547
#SPJ1
Related Questions
Write the numbers in order from least to greatest.
6.03 , 6 2/5, 6.2, 61/3
Answers
Answer:
6.03, 6.2, 6 2/5, 61/3
Step-by-step explanation:
6.03
6 2/5 = 6.4
6.2
61/3 ≈ 20.33
I need help with this differential equation.
Answers
(i) The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).
(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:
A/(factor 1) + B/(factor 2) + C/(factor 3) + ...
In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:
100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)
To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:
100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))
Now, we can equate the numerators:
100 = (A * (10 - x) + B * \(x^7\))
To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:
For x = 0:
100 = (A * (10 - 0) + B * \(0^7\))
100 = 10A
A = 10
For x = 10:
100 = (A * (10 - 10) + B *\(10^7\))
100 = B * 10^7
B = 100 / 10^7
B = 1/10^5
Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:
100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)
(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)
We are also given x = 1 when t = 0.
To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:
∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt
Integrating both sides:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C
Where C is the constant of integration.
Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:
-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C
-1 = 0 + C
C = -1
Plugging in the value of C, we have:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1
To solve for t in terms of x, we can rearrange the equation:
1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1
Multiplying both sides by -1, we get:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1
Simplifying further:
1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1
Now, we can isolate t on one side of the equation:
(1/100) * (10t - (1/2)t^2) = 1 - 1/x
10t - (1/2)t^2 = 100 - 100/x
Simplifying the equation:
(1/2)\(t^2\) - 10t + (100 - 100/x) = 0
At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:
t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))
Simplifying further:
t = (10 ± √(100 + 200/x)) / 1
t = 10 ± √(100 + 200/x)
Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).
For more such questions fraction,click on
https://brainly.com/question/78672
#SPJ8
X
Laura had had enough of Nelly's arrogance and bragging.
She pushed Nelly into the creek. She knew the creek was
filled with leeches.
A. Laura was tired of Nelly's arrogant bragging, so she pushed Nelly
into the creek, even though she knew it was full of leeches.
B. Laura pushed Nelly into the leech-filled creek. This action was
because Laura was sick of Nelly's bragging.
C. Although Laura knew the creek was full of leeches, she pushed
Nelly in anyway. Laura was tired of Nelly's arrogance and bragging.
D. None of the above
If you don’t get this right I’m gonna come to your house Kaydence and beat you up
Answers
Answer:
C
Step-by-step explanation:
The correct answer is C. Although Laura knew the creek was full of leeches, she pushed Nelly in anyway. Laura was tired of Nelly's arrogance and bragging.
Add 2√2 + 5√3 - 7√5 and 3√3 - √2 + √5
Answers
Answer:
this is the answer hope that helps
In the diagram, the measures of 23 and 27 are 45°. The measure of 25 is
135°. Are lines cand dparallel?
F
5
8
OA. Yes, because 23 and 27 are congruent.
OB. No, because 27 and 25 are not congruent.
C. Yes, because 25 and 27 are supplementary.
D. No, because 23 and 25 are not supplementary.
Answers
The correct answer is D. No because 23 and 25 are not supplementary.
In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.
If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.
The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.
For more such answers on supplementary angle
https://brainly.com/question/12919120
#SPJ8
Can someone please help me ?
Answers
Answer:
Vertex: (-4, 1)
X intercepts: (-6, 0) and (-2, 0)
Y Intercepts: (0, -5)
Axis of Symmetry: X= -4
Step-by-step explanation:
Vertex of the parabola is the maximum or minimum point on the graph of the quadratic function
X intercepts are points of when a line or in this case a parabola intercepts the x axis, and where y = 0
Y intercepts are point of when a line or in this case a parabola intercepts the y axis, and where y = 0
Axis of symmetry is the point where if you divide the parabola in half, shows a symmetrical side
Consider a line whose slope is 6 and which passes through the point (8.–2).
3. Write the equation of the
4. Write the equation of the
line in point-slope form.
line in slope-intercept form.
Answers
Answer:
\(y=6(x-8)-2\qquad\text{point-slope form}\)
\(y=6x-50\qquad\text{slope-intercept form}\)
Step-by-step explanation:
The equation of a line can be written in several forms. Two of the most-used forms are the point-slope and the slope-intercept forms.
The point-slope form requires to have one point (xo, yo) through which the line passes and the slope m. The equation expressed in this form is:
\(y=m(x-xo)+yo\)
The slope-intercept form requires to have the slope m and the y-intercept b, or the y-coordinate of the point where the line crosses the y-axis. The equation is:
\(y=mx+b\)
The line considered in the question has a slope m=6 and passes through the point (8,-2). These data is enough to find the point-slope form of the line:
\(\boxed{y=6(x-8)-2\qquad\text{point-slope form}}\)
To find the slope-intercept form, we operate the above equation:
\(y=6x-48-2\)
\(\boxed{y=6x-50\qquad\text{slope-intercept form}}\)
In circle O, OP=3 and m∠POQ=80°. Find the area of shaded sector. Express your answer as a fraction times π.
Answers
Answer:
\(2\pi\)
Step-by-step explanation:
First, let's find the area of circle O.
The formula is \(\pi r^2\).
Plugging in the radius 3, we get the area is \(9\pi\).
To get the area of the sector, we have to find out what fraction of 360 degrees the POQ is.
\(\frac{80}{360} = \frac{2}{9}\).
We now multiply \(\frac{2}{9}\) by 9, getting 2.
The answer is \(2\pi\)
If an atom has 12
positively-charged
protons and 12
negatively charged
electrons, what is its
total charge?
Answers
Answer:
if both the electron and proton have the same number then the charge of an atom is neutral because each proton executes each neutron
Which equation is equivalent to 60% of 25.
Answers
Answer
0.6 • 25 = x
Step-by-step explanation:
60/100 x 25
0.6 x 25
4.81 x 10^3) + (7.913 x 10^5)
Answers
(4810)+(791300) = 796,110 OR (79611 x 10)
what is the answer 42 ounces to 5 pounds in simplest form
Answers
42oz/16oz= 2.6 lbs
5lbs x 16= 70 oz
42 ounces is equivalent to 2.625 pounds.
To convert 42 ounces to pounds, we divide by the conversion factor of 16 ounces per pound, since there are 16 ounces in a pound:
= 42 ounces / 16 ounces per pound
= 2.625 pounds
Now, to express 2.625 pounds in simplest form.
Since it is in decimal form, so we don't need to simplify it further.
Therefore, 42 ounces is equivalent to 2.625 pounds.
Learn more about Unit Conversion here:
https://brainly.com/question/28600662
#SPJ6
A certain bacteria grows 75% every hour. A sick child starts with 10 bacteria cells. How many cells will be in the child’s body at the end of one day? A. 75 B. 75000C. 6,806,333D. -75000
Answers
This is a geometric sequence problem.
The first term is 10 bacteria cells
and it grows 75% every hour.
It can be represented as :
\(n=n_1(1+r)^t\)where n is the number of cells after t hours
n1 is the first term
and
r is the growth rate.
Substitute the following values :
n1 = 10
r = 75% or 0.75
t = 1 day which is equal to 24 hrs
The number of cells after 24 hours will be :
\(\begin{gathered} n=n_1(1+r)^t_{} \\ n=10(1+0.75)^{24} \\ n=10(1.75)^{24} \\ n=6,806,332.61 \end{gathered}\)Therefore, the correct answer is Choice C. 6,806,333
Kayli made 4 cups of soup for dinner. She ate 14 cups and her sister ate 11 cups. How much soup was left?
Answers
Answer:
-21 cups.
Step-by-step explanation:
4-14-11=-21
5. lf you are an American citizen, then you have the right to vote
Answers
Answer:
if its true or false its true
Step-by-step explanation:
You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
Answers
Last year the cost of Tom's train ticket was £42 This year the cost of Tom's train ticket increased to £50 Write down the increase in the cost of Tom's ticket as a fraction of last year's cost. (2 marks
Answers
Answer:
19.048%
Step-by-step explanation:
The formula for the increase in cost will be :
[(New cost - Original Cost)÷Original Cost] × 100
So let's substitute values in from the question :
[(50-42)÷42] × 100
[8÷42] × 100
0.19048 × 100
19.048%
Hope this helped and have a good day
Laws of Exponents, urgent please need the answers right away, thank you!!
solve it both and show the step by step!
Answers
The values of the expressions are;
z³³
d⁻¹⁶
How to simply the exponentsNote that index forms are described as forms used in the representation of numbers or variables too large or small.
Some rules of index forms are;
Add the exponents when multiplying like basesSubtract the exponents when dividing like basesThen, from the information given, we have that;
(z⁻⁴/z⁶ × z⁵/z⁻⁶)⁻¹¹
Subtract the exponents, we have;
(z⁻² × z⁻¹)⁻¹¹
expand the bracket
z²² ⁺ ¹¹
z³³
(d⁴)⁻³/(d⁶)⁻² ÷ (d⁴/d⁶)⁻⁸
expand the brackets
d⁻¹²/d¹² ÷ (d⁻²)⁻⁸
subtract the exponents
d⁰ ÷ d¹⁶
d⁻¹⁶
Learn more about index forms at: https://brainly.com/question/15361818
#SPJ1
Rob collects data about how many customers enter and leave a store every hour. He records a positive number for additional customers entering the store each hour and a negative number for customers leaving the store each hour. Drag and drop the correct choices into the boxes to complete the answers to the questions.
Answers
1) 3:00 to 4:00
The absolute value of the number of people leaving is greater than the absolute value of the number of people entering.2) 103
From 1:00 to 2:00, a total of 14 more people entered, meaning there were 99 people.From 2:00 to 3:00, a total of 8 more people entered, meaning there were 107 people.From 3:00 to 4:00, a total of 4 people left, meaning there were 103 people.The required solution is 4:00 to 5:00 and 87 customers.
It is required to fill in the blanks.
What is arithmetic?The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
According to question , Initially, there were 75 customers.
From 1:00 to 2:00, a total of 30 more people entered, meaning there were
75 + 30 - 12
= 93 people.
From 2:00 to 3:00, a total of 14 more people entered, meaning there were
93 + 14 - 8
= 99 people.
From 3:00 to 4:00, a total of 18 people entered, meaning there were
99 + 18 - 30
= 87 people.
4:00 to 5:00 : If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to left from the store by 5:00.
Therefore, the required solution is 4:00 to 5:00 and 87 customers.
Learn more about arithmetic here:
brainly.com/question/28304284
#SPJ1
Add 2.5 to the product of 4.2 and 0.2
Answers
Answer:
3.34.
Step-by-step explanation:
4.2 * 0.2 + 2.5
= 0.84 + 2.5
= 3.34.
Answer:
3.34
Step-by-step explanation:
the product is 4.2×0.2=0.84
add is 2.5 + 0.84=3.34
Guys please help me I'll give more points to whoever is corretc
What is the area of this figure?
Answers
What is identity matrix with example.
Answers
Answer:
An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else. For example, the 2×2 and 3×3 identity matrices are shown below. These are called identity matrices because, when you multiply them with a compatible matrix , you get back the same matrix
Step-by-step explanation:
mark as brainliest pls :)Answer:
An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else. For example, the 2×2 and 3×3 identity matrices are shown below. These are called identity matrices because, when you multiply them with a compatible matrix , you get back the same matrix.
Identity Matrix is the matrix which is n × n square matrix where the diagonal consist of ones and the other elements are all zeros. It is also called as a Unit Matrix or Elementary matrix. It is represented as In or just by I, where n represents the size of the square matrix. Identity Matrix is denoted with the letter “In×n”, where n×n represents the order of the matrix.
One of the important properties of identity matrix is: A×In×n = A, where A is any square matrix of order n×n.
Hope this helped
Find the equation of the line
passing through the points (3,1) and (7,-7)
Answers
Answer:
y = -2x+7
Step-by-step explanation:
equation of line formula:
\(y = mx + c\)
m = slope, c = y-intercept
1) find the slope using the given coordinates
slope formula:
\( \frac{y2 - y1}{x2 - x1} \)
i) (3,1)
x1=3
y1=1
ii) (7,-7)
x2=7
y2=-7
substitute the values into the formula
\(m = \frac{ - 7 - 1}{7 - 3} \)
\(m = \frac{ - 8}{4} \)
\(m = - 2\)
so now half of the equation is complete as we have the the value of m. substitute the value of m into the slope formula.
\(y = - 2x + c\)
2) find the value of c
to find the value of c, we must substitute either coordinate into the half equation. so, i choose the coordinate (3,1). if you substitute the coordinate (7,-7) , you will get the same value of c.
(3,1)
x = 3
y = 1
\(y = - 2x + c\)
\(1 = - 2(3) + c\)
\(1 = - 6 + c\)
\(1 + 6 = c\)
\(c = 7\)
substitute the value of c into the half equation and that is your straight line equation
\(y = - 2x + 7\)
Multiply these two matrices: 1 2 3 4 5 −1 1 2 = a b c d a = b = c = d =
Answers
Answer:
7,3,19,5 SECOND 1,2,3,4
Step-by-step explanation:
answer on edg.
What is the lowest common denominator of the math problem
6/9-2/3=
Answers
Answer:
Answer to 6/9-2/3= 0; Lowest common denominator = 3;
Step-by-step explanation:
You can only reduce 6/9 to 2/3, you cant reduce the fraction any further.
What is the Product of 3.9 x 0.4
Answers
Answer:
1.56
Step-by-step explanation:
:)
Answer:
1.560
Step-by-step explanation:
3.9 x 0.4
Bryan drew a triangle with vertices at (4,1), (1, 3), and (2,-3). He slides the triangle 3 units to the left to create an image. What are the vertices of the image?
Answers
You buy a video game console for $500 and it depreciates at a rate of 25%. How long wait take for the video me conode to be worth $100 Round your answer to the nearest tenth (one decimal place)
Answers
We will determine the time it takes as follows:
We have to follow the expression:
\(y=a(1-p)^t\)Here y is the value to obtain, a is the original value, p is the percentage and t is the time it takes:
Now, we solve for t:
\(100=500(1-0.25)^t\Rightarrow\ln (100)=t\ln (500(0.75))\)\(\Rightarrow t=\frac{\ln(100)}{\ln(375)}\Rightarrow t\approx0.8\)It will take 0.8 units of time [Since there are no units given].
Evaluate : -35 ÷ (-7) =
Answers
Answer:
-35/-7=5
Step-by-step explanation:
Diviser par de nombre négatif alors sa devient positif pareil pour la multiplication
2 x 1/4 + 3/4 please help meeeeeee
Answers
Step-by-step explanation:
2 * (1/4) + (3/4)
= (2/4) + (3/4)
= 5/4 or 1.25.
Answer:
5/4
Step-by-step explanation:
First multiply 2 x 1/4
so you would do 2/1 x 1/4
and so that would give you 2/4
and then it would be 2/4 +3/4
and since they have the same denominator
add the numerator which will give you 5/4 or 1 1/4