Answer:
x < 11
Step-by-step explanation:
5x<55
Divide each side by 5
5x/5 < 55/5
x < 11
Any number less than 11 will be a solution
Solve this equation: n-(-8) = 15
n =
n - ( -8 ) = 15
n + 8 = 15
n = 15 - 8
n = 7
The answer is:
n = 7
Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car
after x years, which function represents the car's value?
f(x) = 20,000(0.85)*
f(x) = 20,000(0.15)*
f(x) = 20,000(1.15)
f(x) = 20,000(1.85)
Answer:
f(x) = 20,000(0.85)*
Step-by-step explanation:
Answer: [tex]f(x)=20,000(0.85)^x[/tex]
Step-by-step explanation:
We know that the exponential decay (depreciation) equation with rate of decay r in time period x is given by :-
[tex]f(x)=A(1-r)^x[/tex], A is the initial value .
Given: The initial value of truck = $20,000
Rate of depreciation= 15% = 0.15
Now, the function represents the car's value after x years is given by ;-
[tex]f(x)=20,000(1-0.15)^x\\\\\Rightarrow\ f(x)=20,000(0.85)^x[/tex]
Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%. Answer the questions that follow to continue Gavin’s analysis.
Gavin's analysis of a game's zombie population growth involves understanding the concept of exponential growth, characterized by a fixed percentage increase over time, and the eventual transition to logistic growth as resources become limited.
Explanation:The scenario presented involves an analysis of exponential growth, which is a typical mathematical concept found within algebra and applied mathematics.
Gavin's analysis of the game app, which features a starting zombie population of 50,000 that grows at a rate of 5% per level, allows us to examine how the population changes as players advance through the levels.
Exponential growth is characterized by a constant rate of growth applied to a continuously growing base over time.
In the case of the example town mentioned, we learn that exponential growth can lead to doubling populations and that the rule of 70 is a shortcut to estimate the number of years required for a population to double at a constant growth rate.
Specifically, if the town's population doubles every 10 years, this implies a growth rate of approximately 7% per year since 70 divided by the growth rate (7) equals the doubling time (10 years).
However, such unchecked exponential growth will eventually transition to logistic growth, especially when resources become limited, thus limiting the population size to a maximum capacity, known as carrying capacity.
In biology, this logistic growth curve begins with an exponential phase, followed by a slowdown, and eventually levels off at the carrying capacity.
Final answer:
The subject of this question is Mathematics and the grade is High School. Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. Each time a player advances to a new level, the population of zombies grows at a rate of 5%.
Explanation:
The subject of this question is Mathematics and the grade is High School.
In this question, Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%.
To calculate the population of zombies at each level, we can use the formula:
The population of zombies at level one: 50,000The population of zombies at level two: 50,000 x 1.05 = 52,500The population of zombies at level three: 52,500 x 1.05 = 55,125And so on...By using this exponential growth formula, Gavin can analyze the growth of the zombie population as players advance through the levels of the game.
How do you use parallel and perpendicular lines to solve real-world problems?
Answer:
In engineering, construction, and technical fields
Step-by-step explanation:
The use of parallel lines has many wide applications
For example, the parallel lines are important in science in preventing parallax errors in measuring, say the meniscus of the water in a glass.
Another use is in construction. The use of the plumb line shows if the object being built is straight or not. The principle is that the force of the pull acts downwards. Another example is the spirit lever. This can be used by builders to check if the surface is even or not.
In engineering, the properties are important in building bridges and other high-tension structures.
What is 131 rounded by the nearest tenth?
Hello There!
131 rounded to the nearest 10 or
the tens place is 30
It is 130.
Rounding down because it is lower than 5.
Hope this helps! The
PLEASE HELP ME . how can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle?
Step-by-step explanation:
From the Pythagorean theorem we have:
[tex]a^2+b^2=c^2[/tex] subtract b² from both sides
[tex]a^2=c^2-b^2\to a=\sqrt{c^2-b^2}[/tex]
Same:
[tex]b=\sqrt{c^2-a^2}[/tex]
what relation describes the graph?
Answer:
C
Step-by-step explanation:
They are written in (x,y) coordinates. so (0,2 1/2) is the dot on the y axis located at 2 1/2 and is directly on the line as x is 0 and y is 2 1/2.
(-1/2,0) coordinate will be on the left of the origin (the centre of the graph a.k.a 0,0) as the x is negative. the y is 0 so it will be on the x axis.
Just remember, if x is negative then the dot moves to the left, if it is positive then to the right. If y is positive then it will move upwards. If it is negative then it will move downwards. Therefore, the x coordinate controls right and left, the y coordinate controls up and down. If it is 0 then it will not move and just stay on that axis.
(3+5^2)(5-4^2) how to simplify?
Answer:
-308
Step-by-step explanation:
[tex](3+5^2)(5-4^2)[/tex]
[tex]28(5-4^2)[/tex]
[tex]28(-11)\\[/tex]
[tex]-308[/tex]
Hope that helped!
What is the solution set of the quadratic inequality x2- 5<0?
O {xl-55x55
{x- 155x55)
{xl -55x5 15)
{x1 - 15 sx5/5)
Answer:
{[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}
Step-by-step explanation:
We must solve the following inequality
[tex]x^2- 5<0[/tex]
factor the expression
[tex](x-\sqrt{5})(x+\sqrt{5})<0[/tex]
Case 1
[tex](x-\sqrt{5}) < 0[/tex] → [tex]x < \sqrt{5}[/tex]
[tex](x+\sqrt{5}) >0[/tex] → [tex]x > -\sqrt{5}[/tex]
{[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}
Case 2
[tex](x-\sqrt{5}) > 0[/tex] → [tex]x > \sqrt{5}[/tex]
[tex](x+\sqrt{5}) <0[/tex] → [tex]x < -\sqrt{5}[/tex]
Without solution
The set solution is {[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}
Final answer:
The solution set of the quadratic inequality x^2 - 5 < 0 is {x | -√5 < x < √5}, representing all x-values between -√5 and √5.
Explanation:
The quadratic inequality in question is x² - 5 < 0. To find the solution set, follow these steps:
Add 5 to both sides of the inequality to get x² < 5.Take the square root of both sides, keeping in mind we need to consider both the positive and negative roots, which lead to x < √5 and x > -√5.The solution set includes all x values between -√5 and √5, which can be written as {x | -√5 < x < √5}.Graphically, this represents the x-values for which the curve of y = x² is below the line y = 5.
What is the value of sinY?
Answer:
sinY = [tex]\frac{6}{\sqrt{61} }[/tex]
Step-by-step explanation:
sinY = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{ZX}{YX}[/tex] = [tex]\frac{6}{\sqrt{61} }[/tex]
2.314 (14 repeating) as a fraction
Answer:
Therefore, x = [tex]\frac{2291}{990}[/tex].
Step-by-step explanation:
Given : 2.314 (14 repeating) .
To find : Express as a fraction .
Solution : We have given 2.314 (14 repeating) .
Let x = 2.31414141.......
On multiplying both sides by 100
100x = 100 * 2.31414141....
100x = 231.414141......
We can express 231.414141...... in term of x .
100x = 229 .1 + 2.31414141.......
100x = 229.1 +x
On subtracting both sides by x .
100 x -x = 229 .1
99x = 229.1
On dividing both sides by 99
x= [tex]\frac{229.1}{99}[/tex].
x = [tex]\frac{2291}{990}[/tex].
Therefore, x = [tex]\frac{2291}{990}[/tex].
The repeating decimal 2.3141414... expressed as a fraction is [tex] \frac{2291}{990} [/tex]
The decimal given : 2.3141414
Let :
x = 2.31414 - - - (1)Since only the 14 keeps repeating :
Multiply (1) by 10 in other to keep the repeating digits only to the right of the decimal Point.10x = 23.1414 - - - - (2)Multiply (2) by 100
1000x - 2314.1414 - - - - (3)Subtract (2) from (3)1000x - 10x = 2314.1414 - 23.1414
990x = 2291
Divide both sides by 990x = 2291 / 990Hence, 2.31414...expressed as a decimal is [tex] \frac{2291}{990} [/tex]
Learn more : https://brainly.com/question/15406832?referrer=searchResults
Find the zeros of the function.
f(x) = 9x^2 + 6x - 8
Answer:
[tex]\large\boxed{-\dfrac{4}{3}\ and\ \dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]f(x)=9x^2+6x-8\\\\\text{The zeros:}\\\\9x^2+6x-8=0\\\\9x^2+12x-6x-8=0\\\\3x(3x+4)-2(3x+4)=0\\\\(3x+4)(3x-2)=0\iff3x+4=0\ \vee\ 3x-2=0\\\\3x+4=0\qquad\text{subtract 4 from both sides}\\3x=-4\qquad\text{divide both sides by 3}\\\boxed{x=-\dfrac{4}{3}}\\\\3x-2=0\qquad\text{add 2 to both sides}\\3x=2\qquad\text{divide both sides by 3}\\\boxed{x=\dfrac{2}{3}}[/tex]
when 2(3/5x+2 3/4y-1/4x-1 1/2y+3) is simplified, what is the resulting expression?
A. 1 7/10x+2 1/2y+6
B. 7/10x+2 1/2y+6
C. 7/10x+8 1/2y+6
D. 1 7/10x+4 1/4y+3
Answer:
Option B is correct.
Step-by-step explanation:
[tex]2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)[/tex]
We need to solve the above expression.
First Convert Mix fraction into improper fraction
[tex]2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)\\=2(\frac{3}{5}x+ \frac{11}{4}y-\frac{1}{4}x-\frac{3}{2}y+3)[/tex]
Combining the like terms
[tex]=2(\frac{3}{5}x-\frac{1}{4}x+ \frac{11}{4}y-\frac{3}{2}y+3)[/tex]
Solving like terms
[tex]=2(\frac{3x*4-5x}{20}+ \frac{11y-3y*2}{4}+3)\\=2(\frac{12x-5x}{20}+ \frac{11y-6y}{4}+3)\\=2(\frac{7x}{20}+ \frac{5y}{4}+3)[/tex]
Multiply each term with 2
[tex]=2*\frac{7x}{20}+ 2*\frac{5y}{4}+2*3\\=\frac{7x}{10}+ \frac{5y}{2}+6[/tex]
[tex]=\frac{7x}{10}+ 2\frac{1}{2}y+6[/tex]
So, Option B is correct.
Answer:
"B"
Step-by-step explanation:
when you start from a given set of rules and conditions and determine what must be true, you are using__ reasoning.
Answer:
deductive
Step-by-step explanation:
Help me please!!
A watering can dispenses water at the rate of 0.3 gallon per minute. The original volume of water in the can was 7 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after the can starts dispensing water?
{(1, 6.7), (2, 6.4), (3, 6.1)}
{(1, 7.0), (2, 6.7), (3, 6.4)}
{(6.7, 1), (6.4, 2), (6.1, 3)}
{(7.0, 1), (6.7, 2), (6.4, 3)}
Answer:
{(1, 6.7) , (2, 6.4) , (3, 6.1)}
Step-by-step explanation:
A watering can dispenses water at the rate of 0.3 gallon per minute.
The original volume of water in the can was 7 gallons.
If you plot a graph of volume of water in the can (gallons) against time (minutes),
The set of points on the graph will be:
After 1 minute: (1, 7 - 0.3) = (1, 6,7)
After 2 minutes: (2, 7 - 0.6) = (2, 6.4)
After 3 minutes: (3, 7 - 0.9) = (3, 6.1)
i.e the set {(1, 6.7) , (2, 6.4) , (3, 6.1)}
What are possible outcome of a spin of the spinner
Answer:
Step-by-step explanation:
it would depend on how many numbers are on the spinner like if their is 6 numbers on the spinner and if your trying to get a 4 then it would be 1/6.
Hope my answer has helped you!
30% of what equals 60
Answer:
30% of 200 equals 60.
Step-by-step explanation:
There is a formula we use to this specific type of problem. It's called the rule of 3.
30% - 60
100% - x
(60 * 100) / 30 =
6000 / 30 =
200
Step-by-step proof:
To prove our answer, what me must do is use another formula:
(200 * 30) / 100 = 60
6000 / 100 = 60
60 = 60
↑ Both numbers are equal (equation is true), therefore, our solution is correct.
Hope it helped,
BiologiaMagister
A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.
whats a value?
Answer: [tex]a=2[/tex]
Step-by-step explanation:
We need to analize the information provided:
We know that this line passes through the point [tex](a,1)[/tex] where "a" is the unknown x-coordinate of that point and 1 is the y-coordinate.
We know that the line also passes through the point (-1, -5) and the point (4, 5).
Then, in order to find the value of "a", we can plot the known points and draw the line (Observe the image attached).
You can observe in the image attached that the point whose y-coordinate is 1 is the point (2,1). Therefore, the value of "a" is:
[tex]a=2[/tex]
Answer:
D: 2
Step-by-step explanation:
Please help !!! Urgent !!!What is the value of x???
Answer:
40
Step-by-step explanation:
x + (4x-20) = 180
5x - 20 = 180
5x = 200
x = 40
Answer:
the answer is 40
Step-by-step explanation:
the value of x and 4x -20 will be 180 degrees because it is a line and so you set the sum of those to 180 and solve for x
Which of the following is a monomial? A. 2x − yz B. 2 + xyz C. 2xyz2 D. 2x + yz
For this case we have by definition that a monomial is the product of a known number (called coefficient) by one or several unknown values, represented by letters (literal part or variables).
If there were a sum or subtraction, it would be a binomial.
Examples of monomial:
[tex]5x ^ 7 * y ^ 2[/tex]
Then, according to the above, the correct option is option C.
Answer:
Option C
What is The value of -8/15 · 20/64
Answer:
[tex] - \frac{8}{15} \times \frac{20}{64} = - \frac{8}{15} \times \frac{5}{16} = - \frac{1}{6} [/tex]
Help please :( ASAP don’t do wrong answers
Answer:
D. 140
Step-by-step explanation:
volume equals length times width times height 7 times 4 times 5 equals 140 good luck
A cat and a dog have a race. The cat’s strides are 30% shorter than the dog’s but it makes 30% more strides than the dog. Which of them will win the race?
Let [tex]x[/tex] be the length of a cat's stride, and [tex]y[/tex] their stride per time unit ratio.
So, in a time unit, the cat will cover a distance of [tex]xy[/tex]
Dogs strides are 30% longer, do a dog's stride is
[tex]\dfrac{130}{100}x = \dfrac{13x}{10}[/tex]
But its stride per time unit is 30% less:
[tex]\dfrac{70}{100}y = \dfrac{7y}{10}[/tex]
So, in a unit of time, the dog will cover a distance of
[tex]\dfrac{13x}{10}\dfrac{7y}{10} = \dfrac{91}{100}xy[/tex]
So, in the same amount of time, the dog covers 91% of the distance of the cat.
Determine the value of impulse from this graph of momentum vs time
Answer:
try 12 Newton seconds
Step-by-step explanation:
I think it's going to be 12 because if you find the slope of the first line you get 1 Newton and the slope of the second line is -1 Newton's. so that means there is a change of -2 newtons. so if you multiply -2 Newton's by the 6 seconds you -12 Newton seconds. let me know if this is correct as it's been a while since I've done this type of stuff.
Answer:
The value of impulse is 9 N-s.
Step-by-step explanation:
The momentum vs time graph shows the impulse
Impulse :
Impulse is the product of force and time.
In mathematical terms,
[tex]I= F\Delta t[/tex]
Where, F = force
t = time
According to graph,
Impulse[tex]I = F\cdot t[/tex]=total area
[tex]I=\dfrac{1}{2}\times3\times6[/tex]
[tex]I=9\ N-s[/tex]
Hence, The value of impulse is 9 N-s.
In the equation sqrt(n+5)-sqrt(11-10)=1. what is the value of n
[tex]\sqrt{n+5}-\sqrt{11-10}=1\\\sqrt{n+5}-1=1\\\sqrt{n+5}=2\\n+5=4\\n=-1[/tex]
What types of parts are necessary for a complex number?
Answer:
A complex number is of type
a+bi
where a is the real parts and b is the imaginary part.
Step-by-step explanation:
A complex number is of type
a+bi
where a is the real parts and b is the imaginary part.
i is called imaginary number because no real number satisfies this equation
An example of complex number can be: 7+8i or 23+9i etc
PLEASE HELP ME !!!! 10PTS
The description is very simple: Incorrectly solved.
More specifically at step 2 the subtraction of 3.8 should have been on both sides.
[tex]
x+3.8=2.3 \\
x+3.8-3.8=2.3-3.8 \\
\boxed{x=-1.5}
[/tex]
Hope this helps.
r3t40
Answer:
He or she did not properly use the subtraction property of equality. On the right side in the second step of the equation, he or she added 3.8. The correct method to solve for x is by subtracting 3.8 on both sides. Therefore, the answer should be x = -1.5 because 2.3 - 3.8 = -1.5.
Suppose a point at (2, 3) is translated to 7, -1). Which rule describes this translation?
O translate right 5, down 4
O translate left 5, up 4
O translate right 9, down 2
translate left 9, up 2
Answer:
translate right 5, down 4translate right 5, down 4
Step-by-step explanation:
translate right 5, down 4: Note that the x-coordinate 2 becomes 7, and that the y-coordinate 3 becomes -1.
Answer:
From (2,3) translate 5 to the right and 4 down to get (7,-1).
Step-by-step explanation:
(x,y)→(x+5,y−4)
(2,3)→(2+5,3−4)
(2,3)→(7,-1)
Hope this helps :)
*Pls mark my answer Brainliest*
Please Answer!!! how do the graphs of (x) = x^2 and g (x)= 3/4 x^2? relate?
a. the graph of g(x) is the graph of f(x) compressed horizontally by a factor of 3/4
b. the graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4
c. the graph of g(x) is the graph of f(x) compressed vertically by a factor of 4/3
d. the graph of g(x) is the graph of f(x) compressed horizontally by a factor of 4/3
Answer:
The correct option is B.
Step-by-step explanation:
The given functions are
[tex]f(x)=x^2[/tex]
[tex]g(x)=\frac{3}{4}x^2[/tex]
It can be written as
[tex]g(x)=\frac{3}{4}f(x)[/tex] .... (1)
The vertical stretch and compression is defined as
[tex]g(x)=kf(x)[/tex] .... (2)
If k>1, then it represents vertical stretch by factor a.
If 0<k<1, then it represents vertical compression by factor a.
From (1) and (2), we get
[tex]k=\frac{3}{4}[/tex]
Since k<1, therefore he graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4.
Hence the correct option is B.
3 pipes take 60 minutes to water the field. How much time will it take to water the field with 6 pipes? Is this direct proportion or inverse proportion and why? Full working out and equation please.
Answer:
30 minutes.
Step-by-step explanation:
The more pipes you have the less time it takes to water the field.
This is inverse proportion.
t varies as 1 / p
t = k/p
Inserting the given values:
60 = k/3
so k = 180.
and the equation of variation is
t = 180 / p.
When the number of pipes = 6 the time
= t = 180 /6
= 30 minutes.