Answer:
y<-10
Step-by-step explanation:
Answer:
y < -10
Step-by-step explanation:
y + 8 < -2
y < -2 -8
y < -10
What are the answers to this?
Answer:
u should better search the google or this site www.edkasa.edu.pk u will defiantly find the answer.
Never mind i got it!
Answer:
OOk
Step-by-step explanation:
An increase from $27 to $35.10 what percent of increase?
Answer:
30% increase
Step-by-step explanation:
percentage increase is calculated as
\(\frac{increase}{original}\) × 100%
increase = $35.10 - $27 = $8.10 , then
percentage increase = \(\frac{8.10}{27}\) × 100% = 0.3 × 100% = 30%
Answer:
Step-by-step explanation:
step 1: 35.10-27 =8.1
step 2: 8.1/27 x 100 = 30%
so therefore = 30% increase
The model below is shaded to represent 7 3/10
Answer:
blue 7.3
Step-by-step explanation:
Answer:
7.3
Step-by-step explanation:
There are 7 groups with 10 parts in each, 7 complete rows are filled in. 3 are left in the last row. This means that there are 7 wholes with 3 left over. 7.3
What is the value of the expression when a = 5, b = 4, and c = 6?
A.2
B.5
D.9
C.10
Answer: B
Step-by-step explanation: the value of it is 5 its simple
-2n - 5 = 17 what does n=
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-2n-5=17 Equation/Question
Step 2
-2n-5=17 Simplify
-2n-5=17
Step 3
-2n-5=17 subtract 5
-2n=-22
Step 4
-2n=-22 Divide
answer
n=-11
Hope this helps
PLEASE HELP
A town has a population of 40,000 persons.
There are 6000 school-age children in the
town. What is the ratio of the school children
to the total population?
And please add the formula or how you did it
Answer:
3:20
Step-by-step explanation:
6000:40,000
find HCF (2000)
divide both sides by 2000
3:20
The spread of a virus is modeled by V (t) = −t 3 + t 2 + 12t,
where V (t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed.
(a) Sketch V (t).
(b) What is a reasonable domain of t for this problem?
(c) Find the average rate of infection from t = 0 to t = 2.
(d) Find the instantaneous rate of infection as a function of t using the limit definition of the derivative.
(e) Find V (2) and V ‘ (2). Write a sentence interpreting V (2) and V ‘ (2) in terms of the number of infected people. Make sure to include units.
(f) Sketch the tangent line to the graph you drew in a. at the point (2, V (2)). State the slope of the tangent line.
(g) Use V (2) and V ‘ (2) to estimate the value of V (2.1).
(h) Find the maximum number of people infected at the same time and when the maximum occurs. Determine the rate of infection at this time.
Functions can be used to model real life scenarios
The reasonable domain is \(\mathbf{[0,\infty)}\).The average rate of change from t = 0 to 2 is 20 persons per weekThe instantaneous rate of change is \(\mathbf{V'(t) = -3t^2 + 2t + 12}\).The slope of the tangent line at point (2,V(20) is 10 The rate of infection at the maximum point is 8.79 people per weekThe function is given as:
\(\mathbf{V(t) = -t^3 + t^2 + 12t}\)
(a) Sketch V(t)
See attachment for the graph of \(\mathbf{V(t) = -t^3 + t^2 + 12t}\)
(b) The reasonable domain
t represents the number of weeks.
This means that: t cannot be negative.
So, the reasonable domain is: \(\mathbf{[0,\infty)}\)
(c) Average rate of change from t = 0 to 2
This is calculated as:
\(\mathbf{m = \frac{V(a) - V(b)}{a - b}}\)
So, we have:
\(\mathbf{m = \frac{V(2) - V(0)}{2 - 0}}\)
\(\mathbf{m = \frac{V(2) - V(0)}{2}}\)
Calculate V(2) and V(0)
\(\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}\)
\(\mathbf{V(0) = (0)^3 + (0)^2 + 12 \times 0 = 0}\)
So, we have:
\(\mathbf{m = \frac{20 - 0}{2}}\)
\(\mathbf{m = \frac{20}{2}}\)
\(\mathbf{m = 10}\)
Hence, the average rate of change from t = 0 to 2 is 20
(d) The instantaneous rate of change using limits
\(\mathbf{V(t) = -t^3 + t^2 + 12t}\)
The instantaneous rate of change is calculated as:
\(\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}\)
So, we have:
\(\mathbf{V(t + h) = (-(t + h))^3 + (t + h)^2 + 12(t + h)}\)
\(\mathbf{V(t + h) = (-t - h)^3 + (t + h)^2 + 12(t + h)}\)
Expand
\(\mathbf{V(t + h) = (-t)^3 +3(-t)^2(-h) +3(-t)(-h)^2 + (-h)^3 + t^2 + 2th+ h^2 + 12t + 12h}\)\(\mathbf{V(t + h) = -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h}\)
Subtract V(t) from both sides
\(\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h - V(t)}\)
Substitute \(\mathbf{V(t) = -t^3 + t^2 + 12t}\)
\(\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h +t^3 - t^2 - 12t}\)
Cancel out common terms
\(\mathbf{V(t + h) - V(t)= -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}\)
\(\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}\) becomes
\(\mathbf{V'(t) = \lim_{h \to \infty} \frac{ -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}{h}}\)
\(\mathbf{V'(t) = \lim_{h \to \infty} -3t^2 -3th - h^2 + 2t+ h + 12}\)
Limit h to 0
\(\mathbf{V'(t) = -3t^2 -3t\times 0 - 0^2 + 2t+ 0 + 12}\)
\(\mathbf{V'(t) = -3t^2 + 2t + 12}\)
(e) V(2) and V'(2)
Substitute 2 for t in V(t) and V'(t)
So, we have:
\(\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}\)
\(\mathbf{V'(2) = -3 \times 2^2 + 2 \times 2 + 12 = 4}\)
Interpretation
V(2) means that, 20 people were infected after 2 weeks of the virus spread
V'(2) means that, the rate of infection of the virus after 2 weeks is 4 people per week
(f) Sketch the tangent line at (2,V(2))
See attachment for the tangent line
The slope of this line is:
\(\mathbf{m = \frac{V(2)}{2}}\)
\(\mathbf{m = \frac{20}{2}}\)
\(\mathbf{m = 10}\)
The slope of the tangent line is 10
(g) Estimate V(2.1)
The value of 2.1 is
\(\mathbf{V(2.1) = (-2.1)^3 + (2.1)^2 + 12 \times 2.1}\)
\(\mathbf{V(2.1) = 20.35}\)
(h) The maximum number of people infected at the same time
Using the graph, the maximum point on the graph is:
\(\mathbf{(t,V(t) = (2.361,20.745)}\)
This means that:
The maximum number of people infected at the same time is approximately 21.
The rate of infection at this point is:
\(\mathbf{m = \frac{V(t)}{t}}\)
\(\mathbf{m = \frac{20.745}{2.361}}\)
\(\mathbf{m = 8.79}\)
The rate of infection is 8.79 people per week
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1). f(x) = 3x + 15 then what's f^-1(x)?
Answer:
Step-by-step explanation:
f(x)=3x+15
let f(x)=y
y=3x+15
flip x and y
x=3y+15
3y=x-15
y=1/3 x-5
or f^{-1}x=1/3 x-5
please please help!!!!!!
Answer:
5/2
Step-by-step explanation:
duh
Answer:
the answer is 5/2 witch is equal to 2.5
Step-by-step explanation:
you have to divide the total amount of cookies by the total amount of people so 5 divided by 2 a.k.a 5/2 so that is your answer
your welcome
can i please have brainliest
. A carbon filter is used by a scientist to filter out small particles of soil and rocks
from a water sample taken from a stream. The exponential function f(x) =
500(0.35) * can be used to model the function. Which of the following could be
represented by the value 500 in the function rule?
Answer:
C- The size of the initial water sample, in gallons.
Step-by-step explanation:
find the inverse of each equation
The inverse of the equation is determined as \(y = \log_{6}(-3x)\).
option D is the correct answer.
What is the inverse of the equation?The inverse of the equation is calculated by applying the following method;
The given equation;
y = - 6ˣ/3
The inverse of the equation is calculated as;
multiply through by 3
\(-3x = 6^y\)
Take the logarithm of both sides of the equation with base -6:
\(\log_{6}(-3x) = y\)
Finally, replace y with x to obtain the inverse equation as follows;
\(y = \log_{6}(-3x)\)
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What is the correct answer for 17? Plsss help
If lines m and n are parallel, then the value of x must be 4.
How to find the value of x?
If lines m and n are parallel, then the measures of the angles in the correspondent quadrants must be the same ones.
Here we can see that the two angles are in the third quadrant, thus, these angles have the same measure. Then we can write this as:
6x² = 96
Now we can solve this for x, we will get:
x² = 96/6
x² = 16
x = √16
x = 4
That is the value of 4.
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HELP ME. I HATE MATH DUDE.
My and my friend need help with this question how do we show work
Considering the two parallel lines cut by the transversal, the measure of angle 1 is given as follows:
C. 105º.
Measure of Angle 1The parallel lines in this problem are as follows:
Line 1 and Line 2.
The transversal line that crosses both parallel lines is:
Line 3.
Angles 1 and 5 are supplementary, meaning that the sum of their measures is of 180º, hence:
<1 + <5 = 180º.
Angles 4 and 5 are alternate exterior angles, as they are on opposite sides of different parallel lines relative to the same transversal, hence they are congruent, that is, they have the same measure.
The sum of their measures is of 150º, hence:
<4 + <5 = 150º.
They have the same measure, hence:
<5 + <5 = 150º
2<5 = 150º
<5 = 150º/2
<5 = 75º.
Then the measure of angle 1 is calculated as follows:
<1 + <5 = 180º.
<1 + 75º = 180º
<1 = 180º - 75º
<1 = 105º.
Which means that option C is correct.
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A rectangle has a length 3x + 1 of and a width of Write an expression for the 3-9
perimeter of the rectangle.
The expression for the perimeter is P = 12x - 16
How to write an expression for the perimeter?The given parameters are
Length = 3x + 1
Width = 3x - 9
The perimeter is calculated as
P = 2 * (Width + Length)
So, we have
P = 2 * (3x + 1 + 3x - 9)
Evaluate
P = 2* (6x - 8)
Expand
P = 12x - 16
Hence, the expression for the perimeter is P = 12x - 16
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What is another name for a fraction that as a numerator and a denominator that have the same integer? Your answer This is a required question
Answer:
I think it would be considered 1
Step-by-step explanation:
If you have a fraction that has the same integer for the numerator and denominator, that fraction would equal to 1 because the fraction is completed. As an example, 5/5 is equal to one because there is 5 pieces of the fraction needed to complete it, and there's and available 5. Meaning that there's 5 out of 5 pieces needed to create a whole number which would be 1.
Decimal form: .2 + .2 + .2 + .2 + .2 = 1.0
Written form: 1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 5/5 or 1
This graph shows the amount of rain that falls in a given amount of time.
What is the slope of the line and what does it mean in this situation?
A line graph measuring time and amount of rain. The horizontal axis is labeled Time, hours, in intervals of 1 hour. The vertical axis is labeled Amount of rain, millimeters, in intervals of 1 millimeter. A line runs through coordinates 2 comma 5 and 4 comma 10.
It is to be noted that the slope of the line is 5/2. This means that 5 mm of rain falls every 2 hours. See the calculation below.
What is a slope in math?In general, the slope of a line indicates its gradient and direction. The slope of a straight line between two locations, say (x₁,y₁) and (x₂,y₂), may be simply calculated by subtracting the coordinates of the places. The slope is often denoted by the letter 'm.'
To find the slope of the line in the graph, we use the following equation:
m = [y₂ - y₁]/[x₂-x₁]
Where (x1,y1) = coordinates of the first point in the line; and
(x₂,y₂) = coordinates of the second point in the line
Given that the points (2, 5) from the graph is (x₁, y₁) and the point on graph (4, 10) are (x₂,y₂) Hence,
m = [10-5]/[4-2]
The slope (m) = 5/2
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Full Question:
This is the complete question and the described graph is attached
This graph shows the amount of rain that falls in a given amount of time.
What is the slope of the line and what does it mean in this situation?
Select from the drop-down menus to correctly complete each statement
The slope of the line is ___
This means that ___ mm of rain falls every ___
What is the solution to this equation: 42 +82=²? (Round answer to the nearest tenth.)
O c= 8.9
O e = 12
Oc=6.3
O c=3.5
The solution to this equation: 42 +82=x² is x = 12.
What is square number?A square number, also known as a perfect square, is an integer that is the square of another integer; in other words, it is the result of multiplying another integer by itself. For instance, 9 is a square number because it equals 32 and can be written as 3 3.
Instead of the product n n, the equivalent exponentiation n2, which is typically pronounced "n squared," is used to represent a number's square. The name of the shape is where the term "square number" originated. The area of a unit square (1 × 1) is the unit of area.
The solution to this equation: 42 +82=x²
x = √(42 +82)
x = √(144)
x = 12
Thus, The solution to this equation: 42 +82=x² is x = 12.
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Increase £50 by 60% anyone can help me?
Simplify. 5.1u + 2.5u
ayer compre 3/4 kg de papas y hoy 1/2 kg cuantos kg tengo en total
At a local play production, 490 tickets were sold. The ticket prices varied on the seating arrangements and cost $8, $10, or $12. The total income from ticket sales reached $4600. If the combined number of $8 and $10 priced tickets sold was 6 times the number of $12 tickets sold, how many tickets of each type were sold?
PRICES COUNTS COSTS
8 e 8e
10 420-e-t 10(420-e-t)
12 t 12t
420 3920
system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29
First equation gives highlight%28t=70%29.
Second equation simplifies to e-t=140.
Substitution gives highlight%28e=210%29.
Quantity of $10 tickets by difference, highlight%28140%29
Given the points (-2, 6) and (0, -7) find the slope.
Answer:
-13/2
or
-6.5
Step-by-step explanation:
yeah-ya.......... right?
Is 89/100 terminating or repeating
Answer:
Terminating
Step-by-step explanation:
Answer:
Terminating
Step-by-step explanation:
it doesn't repeat bc 89/100 = 0.89
Can someone explain what i do to solve for this!
what's up? i think the distance from D to F would be 32.2
we are given DU which is 16.1, and that is half of DF so we just need to perform 16.1(2)= 32.2
best of luck with your studies :)
x -3,0,5
y- 5,2,-3
Draw the straight line y=2-x
The graph of straight line y = 2 - x with the given points are shown in graph.
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The equation of straight line is,
⇒ y = 2 - x
Now, We have to given that;
Points on the graph are,
x = -3, 0, 5
y = 5, 2, -3
Hence, We can plot the points and join all the points.
We get;
The graph of straight line with the given points as shown in figure.
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What percent is modeled by the grid? A grid model with 100 squares. 33What percent is modeled by the grid? A grid model with 100 squares. 33 squares are shaded. 23% 30% 33% 40% squares are shaded. 23% 30% 33% 40%
Answer:
33%
Step-by-step explanation:
There are 33 squares out of 100 that are shaded
33/100
Percent means out of 100
33%
Or
A ratio that compares a number to 100 can be written as a percent. So in this problem, since the figure has 33 out of 100 boxes shaded, we have the ratio 33/100 which can be written as 33%.
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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"Maria is traveling along a road toward Harrisburg and sees the following sign.
Easton
Harrisburg
10 miles
25 miles
Maria knows there is a gas station located of the distance between Easton and Harrisburg.
How far does Maria have to travel, in miles, to reach the gas station?
Answer: 17 and 1/2 miles
Step-by-step explanation: They are 15 miles away from eachother which means halfway between the two is 7 and 1/2. 10 plus 7 and 1/2 is 17 and 1/2 and 25 minus 7 and 1/2 is 17 and 1/2.