Answer:
n= 5
Step-by-step explanation:
n + 0.5(n-1) = 7
n + 0.5n - 0.5 = 7
1.5n = 7 + 0.5
1.5 n = 7.5
n = 7.5 × 10/1.5 × 10
n = 75/15
n = 5 ( Answer)
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 5 years, how long will it take to triple?
Answer:
[tex]t=7.85 years[/tex]
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
[tex]\frac{dP}{dt}=aP[/tex]
Where a is proportional constant, P the population variable, and t the time.
[tex]\frac{dP}{P}=adt[/tex]
Integrating each side of the equation.
[tex]\int \frac{dP}{P}=\int adt[/tex]
[tex]ln(P)=at+c[/tex]
[tex]P=e^{at+c}[/tex]
[tex]P=e^{c}e^{at}=Ce^{at}[/tex]
To find C we need to use the initial condiction, it means evaluae P at t=0.
[tex]P_{0}=Ce^{0}=C[/tex]
[tex]P=P_{0}e^{at}[/tex]
Now, we use the sentence the population has doubled in 5 years.
[tex]2P_{0}=P_{0}e^{a5}[/tex]
We can find "a" in this condition.
[tex]2=e^{a5}[/tex]
[tex]ln(2)=a5[/tex]
[tex]a=\frac{ln(2)}{5}[/tex]
[tex]a=0.14[/tex]
Finally, let's find how long will it take to triple.
[tex]3P_{0}=P_{0}e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
[tex]t=\frac{ln(3)}{0.14}[/tex]
[tex]t=7.85 years[/tex]
I hope it helps you!
Can I have help please I don’t know how to do this
Answer: i think it may be a
Step-by-step explanation:
Is this a positive trend or negative trend or no trend please help
Answer:
negative trend because the values are decreasing
The width of the rectangle is 40% of its length. What is the area of the rectangle?
A rectangle. The length is 20 feet.
Answer:
160in²
Step-by-step explanation:
40% = 0.4 = 4/10
The length is 20, 40% of that is (0.4)(20) = 8in
Length * width . = 20*8 = 160in²
The width of the rectangle is equal to 8 feet.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the width of the rectangle is 40% of its length.
The width will be calculated as,
W = 0.4 x L
W = 0.4 x 20
W = 8 feet
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x+2+2x+1+x-6= 45 what is X?
12
60
15
16
SOLVE QUICKLY I WILL GIVE BRAINIEST!!!
my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)
Answer:
84
Step-by-step explanation: (edited)
52% problems are pointless i.e. 48% are NOT pointless.
Recall that 1% = 1/100.
Therefore 48% = 48/100 = 12/25.
Let x be the number of problems that are not pointless.
x/175 = 12/25
x = 84
Answer:
84
Step-by-step explanation:
According to the question
175×48%
175×48/100
7×48/4
7×12
84
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it
Answer:
[tex](f-g)(x)=2x-3[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=3x-1\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
By substitution:
[tex]=(3x-1)-(x+2)[/tex]
Simplify. Distribute:
[tex]=(3x-1)+(-x-2)[/tex]
Rearrange:
[tex]=(3x-x)+(-1-2)[/tex]
Therefore:
[tex](f-g)(x)=2x-3[/tex]
Please help solve this. (Answer is not 80)
Answer:
70
Step-by-step explanation:
triangle is 180deg in total thus,
Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)
14. 4x + y = -1
15. 5x - 2y = 14
16. 10x - 2y = -6
17. 8x + y = 12
18. 6x - 10y = 20
Find the missing values of the variables. The diagram is not to scale. Show steps
Step-by-step explanation:
i assume this is the question you asked me to look at.
Well, angle 116° and y are supplementary angles
therefore,116°+y=180°
y=180°-116°=64°
Now to find x
x+y+125+72=360°
x+64+125+72=360
x+261=360
x=360-261=99°
The measure of x° is 99° and the measure of y° is 64°.
What is quadrilateral?
A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.
From the given figure,
116°+y°=180° (Sum of adjacent angles is 180°)
y°=180°-116°
y°=64°
Sum of interior angles of quadrilateral is 360°.
Here, x°+y°+72°+125°=360°
x°+64°+72°+125°=360°
x°+261°=360°
x°=99°
Therefore, the measure of x° is 99° and the measure of y° is 64°.
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Look at the following expression. Which operation should be done first?
23 – 5 × 4 + 32 (a small 2 next to the 3)
1.) 5 × 4
2.) 32 (small 2)
3.) 4 + 3
4.) 23 – 5
Answer
2.
Step-by-step explanation:
Can some one help me please
Answer:
B
Step-by-step explanation:
x+2+10 is 13 which is the beginning of the perimeter
can u pls help me with this question
Answer:
c
Step-by-step explanation:
divide 1/5,280 and then multiply that by 6,600
Answer:
the answer is c
Step-by-step explanation:
multiply 6,600 by 1 and that will give you 6,600 again
after that you divide 6,600 and 5,280 that will get you 1.25
if you think I'm wrong just do it on the calculator it will give you 1.25
have a nice day!!
Solve the inequality
Answer:
x ≥ -64
Step-by-step explanation:
"3/4ths of a number is greater than or equal to -48"
3/4 of a number ≥ -48
Let's say the number is x.
(3/4)x ≥ -48
Multiply both sides by 4.
3x ≥ -192
Divide both sides by 3.
x ≥ -64
(-30i) +(52-30i) express your answer in the form (a+bi)
Step-by-step explanation:
-30i + 52 - 30i
= 52 - 60i.
Here a is 52 and b is -60.
Circle geometry please help,
Answer:
7. Inscribed angle
Step-by-step explanation:
7. Inscribed angle
8.
y° = 70°
z° = 140°
8. y° and 70° are the measures of the angles subtended in the same arc. So, they would be equal.
Therefore, y° = 70°
Measure of central angle is two times the measure of the inscribed angle.
Therefore,
z° = 2* 70° = 140°
Find all solutions of sinx-sqrt1-3sin^2x=0
Answer:
what
Step-by-step explanation:
that doesnt make any sense
halp
A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
21.09 feet
24.20 feet
37.47 feet
49.34 feet
Answer:
37.46
Step-by-step explanation:
I think not sure tho
5cd.(-cd)
Monomials and polynomials
Math whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated.
Answer:
y = 49
x = 15
Step-by-step explanation:
The angle is 90 degrees and on one side of the bisector is 41 so to find y all you have to do is 90 - 41 = 49
(7x + 13) + (2x - 9) + 41 = 180
add like terms - 9x + 45 = 180
subtract - 9x = 135
Divide - x = 15
whats is y= 2x-7 graphed
Answer:
Step-by-step explanation:
Start with a point at -7 on the y axis, and move up 2 right one repeatedly and keep making points. Then, connect them and you'll have your line.
In art class, David painted an image of a bowl of fruit. For the oranges, he mixed 2 ounces of
white paint and 4 ounces of orange paint. For the peaches, he mixed 3 ounces of white paint
and 5 ounces of orange paint. Which type of fruit was a lighter shade of orange?
Answer: the peaches were a lighter shade of orange
Alex drove 372 miles on I-95 and used 12 gallons of gasoline. How many miles did Alex’s car travel per gallon of gasoline?
Answer:
372/12=31
31mpg
Step-by-step explanation:
pls help !! - Using the graph below, what is the rule for a translation form point A to point D?
Answer:
B
Step-by-step explanation: i took the test on docs/forms
Percent is always out of _________ ?
Answer:
Percent is always out of 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
Can someone PLEASE answer 5 and 6 for me?this assignment is due in a few minutes
Answer:
Yes they are equivalent because if you divide 18 by 6 it is 3 and if you do the same for 21 and 7 it also equals 3 which means they get paid 3 per hour
As for 6 they are not bec if we do the same from to 6 220/25=8.8 and 90/10=9 meaning they don’t have the same feet to inches
Step-by-step explanation:
I hope this helps and I’m not to late.
4) Which formulas can be used to find the area of a parallelogram and a
square? There are two possible answers. Check one.
10 pa
O A = b x h
A = 2L + 2W
A = L + L + W + W
A = bh
Answer:
O A = Bx H and A = L + L + W + W.
Step-by-step explanation:
please help i m clusless
Answer:
-25+? = -5
cross -5 over and it the negative sign would turn to postive sign
-25+(5)=?
Therefore answer = 20
To confirm this answer
-25+20= -5
You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75. 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
$13.25
$14.68
$21.74
$25.69
Answer:
21.74
Step-by-step explanation:
32. The price of a box of tarts is $1 cheaper than that of a loaf of bread. If 3 times the price of a
loaf of bread is $29.5 more than half of the price of a box of tarts, find the price of a box of
tarts.
A. $4.3
B. $7.7
C. $9.84
D. $13
Answer: $8.60
Step-by-step explanation:
Let the price of a bread = x
Let the price of a tarts = x - 1
If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:
3 × x = 1/2 × (1 - x) + 29.5
3x = 0.5 - 0.5x + 29.5
3x + 0.5x = 29.5 + 0.5
3.5x = 30
x = 30/3.5
x = 8.6