Answer: Exponential function: [tex]y=12000(1.05)^x[/tex]
Step-by-step explanation:
Exponential function: [tex]y=ab^x[/tex] , a = initial value , x= time, b= growth factor , b= 1+r , where r=rate of growth.
Given: Initial population = a= 12,000,
rate of growth = r= 5% = 0.05
Then, b= 1+r= 1+ 0.05 = 1.05
Substitute value of a and b in (i), we get
[tex]y=12000(1.05)^x[/tex]
Hence, The required exponential function: [tex]y=12000(1.05)^x[/tex], where x= time.
(30PTS) What are the slopes of the asymptotes of a hyperbola with equation x^2/2^2-y^2/6^2=1
Answer:
2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.
Step-by-step explanation:
c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).
The slopes of the asymptotes of the hyperbola are +3 and -3.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The standard equation for a hyperbola with a horizontal transverse axis is:
[tex](x-h)^2/a^2 - (y-k)^2/b^2 = 1[/tex]
where (h,k) is the center of the hyperbola, "a" is the distance from the center to the vertices along the x-axis, and "b" is the distance from the center to the vertices along the y-axis.
Comparing this to the given equation:
[tex]x^2/2^2 - y^2/6^2 = 1[/tex]
We can see that h = k = 0, a = 2, and b = 6.
The slopes of the asymptotes are given by:
±(b/a)
So, the slopes of the asymptotes are:
±(6/2) = ±3
Therefore,
The slopes of the asymptotes of the hyperbola are +3 and -3.
Learn more about equations here:
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1. How would you describe the strugure of the Yavapai-Apache Nation's government? 2. What is one check or balance mentioned in this section of the constitution?
I will give brainliest
Use the graph to the right to write an equation of the line.
The equation is
(Simplify your answer. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation.)
PLEASE HELP
Answer:
Using the point (-2,-4) it would be:
y + 4 = 1/3(x + 2)
Using the point (4,-2) it would be:
y + 2 = 1/2 (x - 4)
Step-by-step explanation:
hope this helps :)
what is this answer?
Answer:
the answer is h=9
Step-by-step explanation:
the answer is h=9
27/3=9
Is the number of increments in part B positive or negative?
positive
Step-by-step explanation:
Answer:
The number of increments is positive.
Step-by-step explanation:
got it on edmentum :)
3x + 4y + 4 > 0
how would i solve this?
What is the slope of the line through (2, 10) and (-2, 17)?
A rugby team had 45 players show up for tryouts last year. This year 60 players came to tryouts. What was the percent increase in the number of players that showed up this year compared to last year?
Question 5 options:
33%
133%
75%
175%
Answer:
60-45= 15
15/45= 0.33
0.33 X 100 = 33%
Is 5/9 closer to 1, 1/2, or 1?
Answer:
Closer to 1/2
Step-by-step explanation:
Half of 9 is 4.5 and 5 is .5 away from half and to make this 1 it needs to be 9/9 which is 4 away.
Answer:
1/2
Step-by-step explanation:
Half of 9 is 4.5/9, and 5/9 is closer to 4.5/9 than 9/9(or 1)
1) An i staircase has a 10 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 30.20 degrees and there are 12 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:
a) What is the landing space per step (in inches, rounded to the nearest inch)?
b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).
A and b are both questions regaurding the stairs. Answer both, and show your work to recieve brainliest.
Answer:
A)
Each landing is about 17 inches.
B)
The vertical rise from Floor 1 to Floor 2 is about 7 feet.
Step-by-step explanation:
Please refer to the attachment below. (I accidentally wrote 30.30 instead of 30.20. Please ignore that and sorry for any confusion.)
Part A)
So, we want to find the length of [tex]\ell[/tex].
Note that the angle of elevation, the vertical height, and [tex]\ell[/tex] form a right triangle.
Since the vertical height opposite to our angle is 10, and we want to find the adjacent height, we can use the tangent ratio:
[tex]\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
Therefore:
[tex]\displaystyle \tan(30.20)=\frac{10}{\ell}[/tex]
Solve for [tex]\ell[/tex]. Cross-multiply:
[tex]\displaystyle \ell\tan(30.20)=10[/tex]
So:
[tex]\displaystyle \ell=\frac{10}{\tan(30.20)}=17.1817...\approx17\text{ inches}[/tex]
The landing space per step is about 17 inches.
Part B)
We know that there are a total of 12 feet of horizontal space total for each landing.
12 feet is equivalent to (12)(12) = 144 inches.
Since each landing is 17.1817... inches, this means that we have 144/(17.1817...) = 8.38... or about 8 steps.
Since the vertical rise of each step is 10 inches, the vertical rise from the 1st Floor to the second will be 8(10) or 80 inches or 80/12 = 6.666... or about 7 feet.
A flower garden has 3 red rose bushes, 2 yellow rose bushes, and 5 white
rose bushes. What is the ratio of yellow rose bushes to the total number
of rose bushes?
A 1:5
B. 1:4
C. 2:5
D. 2:4
EFGH is an isosceles trapezoid. If EG=3y+19 and FH=11y-21, find the value of y.
Answer:
y = 5
Step-by-step explanation:
The diagonals of the isosceles EFGH are equal. Therefore:
EG = FH
EG = 3y + 19
FH = 11y - 21
Thus:
3y + 19 = 11y - 21
Collect like terms
3y - 11y = -19 - 21
-8y = -40
Divide both sides by -8
y = 5
For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?
1a. What does the variable "x" represent?
1b. What equation represents this word problem?
1c. What is the solution to the word problem?
(Please help me with this quiz)
Step-by-step explanation:
We are solving for the number of students in each bus, so let x represent the number of students in each bus.
We have 4 + 9x = 472.
=> 9x = 468, x = 52.
Hence there are 52 students on each bus.
_____consists of activities that are
not required as part of one's formal
role in the organization
Select one:
a. None of the above
b. Lobbying
c. Influence
d. Political behaviour
= Political behaviour
Step-by-step explanation:
political behaviour consists of activities that are
not required as part of one's formal
role in the organization
ANSWER QUICKLY
what are 2 things you are allowed to assume for proofs if the picture show for congruency
Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.
Step-by-step explanation:
The volume of a rectangular prism can be modeled by the expression 4x3 - 108.
Find expressions for the dimensions of the prism by factoring, Write dimensions in box.
Answer:
4(x - 3)(x^2 + 3x + 9)
Step-by-step explanation:
4x^3 - 108 = 4(x^3 - 27), or
4(x^3 - 3^3), or
4(x - 3)(x^2 + 3x + 9)
We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.
Please help me with my homework!!!!
Answer: -19 i think
Step-by-step explanation:
Marissa counted 29 coins in her change purse which contained d dimes and q quarters. The value of the coins is $5.00. How many dimes and how many quarters are in her change purse?
Answer:
15 dimes 14 quarters
Step-by-step explanation:
d+q=29
10d+25q=500
10d+10q=290
15q=210
q=14
d=15
Answer:
29 bucks a piece equlas is de 5 dollar tip is de dog and is the rare dollarido ok yes is good dooddood okokokokokkokokokokok so ther is you answar
Step-by-step explanation:
Suppose a purchasing manager wants to determine the average cost of machined metal parts in the US. How many machined metal parts would they have to sample? The manager wants to be 90% confident with a margin of error of 6.74. Suppose that the costs of the metal parts ranges from 93 to 220. When entering the values into JMP, round the planning value for the standard deviation to four values after the decimal. Round final answer as you normally would.
Answer:
they will have to sample 60 machined metal parts
Step-by-step explanation:
Given that;
Margin of Error E = 6.74
at 90% Confidence Interval, z = 1.645 { from table }
Range R = maximum range - minimum range = 220 - 93 = 127
standard deviation σ = R / 4 = 127/4= 31.7500
How many machined metal parts would they have to sample n = ?
to get our sample size, we use the following formula
n = [ zσ / E ]²
we substitute in our values
n = [ 1.645 × 31.7500 / 6.74 ]²
n = [ 52.2287 / 6.74 ]²
n = [ 7.7490 ]²
n = 60.047 ≈ 60
Therefore, they will have to sample 60 machined metal parts
You can use the margin of error with the z value and standard deviation to get the result.
The number of metal machine parts would be 60.
Given that:The confidence level needed is 90%The margin of error is 6.74The cost of metal parts ranges from 93 to 200To find:The number of machined metal parts that have to be sampled.
Finding the range of the distribution:Range = Max. value - min. value = 220 - 93 = 127
Finding the standard deviation:The standard deviation is approximately the quarter of the range of the distribution.
Thus, [tex]\sigma = 127 \div 4 = 31.75[/tex]
For 90% confidence, the z value is 1.645 (from z tables)
Thus, from the formula for size of sample, we have:
[tex]n = (\dfrac{z\sigma}{E})^2 = (\dfrac{1.645 \times 31.75}{6.74})^2 = (7.749)^2 \approx 60[/tex]
The number of metal machine parts would be 60.
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Helpppppp Fast!!!!!!!!!!!!
Answer:
1 1/3 feet by 3 feet
Step-by-step explanation:
MATH PROBLEM PLEASE HELP I HAVE THE PIC OF THE PROBLEM I WILL GIVE YOUI BRAINLIEST
Answer:
79.4
Step-by-step explanation:
(85+90+68+75+79) / 5 =79.4
1.1.4 Practice: Scale Drawings
Practice
Math 7 Sem 2
Points Possible:5
Name:
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.
Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.
Adam says he knows another way.
Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.
1. What is the area of the board shown on the scale drawing? Explain how you found the area.
Write your answer in the space below.
2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.
Write your answer in the space below.
3. What is the area of the actual electronics board?
Write your answer in the space below.
Answer:
so over alll I got 1800
Step-by-step explanation:
for number 1
Look at the arrows in the drawings below. Indicate whether the arrows are parallel, perpendicular, or neither.
Answer:
In A and D the arrows are perpendicular, in B they are parallel and in C they are neither parallel nor perpendicular.
Step-by-step explanation:
Please solve this problem
Deanna is having a party she estimates for that she will need 3 slices of pizza for each guest and 8 extra slices for unexpected guest.
Write an equation that relates the total slices of pizza, T, to the number of guest, g.
Thanks
Answer:
3g + 8 = T
Step-by-step explanation:
3g + 8 = T because since Deanna estimates 3 slices for each guest, you would times the # of guests by 3, which is 3g. Then you would add 8 because Deanna will need extra 8 slices for the unexpected guests. This equation would tell you how many slices Deanna needs in total.
Hope this helps :D
Please help me !!!!!!
Answer:
A
Step-by-step explanation:
Hope it helps!
Answer:
i think its b
Step-by-step explanation:
I need help please..
Answer:
Charlotte: 7
Step-by-step explanation:
You can subtract 29 on both sides to get 7=p
Need help with this:(
Answer:
x=0
y=-3
Step-by-step explanation:
What is 4/5 divided by 1/2
Answer:
4/5 / 1/2=1 3/5
Step-by-step explanation:
$200 at 6% for 10 years find the interest and find the balance of the account
Answer:
358
Stefffffffffffffffffffffffffffp-by-step explanation:
y = - x + 4 y = 2x - 8
Answer:
{y,x} = {0,4}
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] y = 2x - 8
// Plug this in for variable y in equation [1]
[1] (2x-8) + x = 4
[1] 3x = 12
// Solve equation [1] for the variable x
[1] 3x = 12
[1] x = 4
// By now we know this much :
y = 2x-8
x = 4
// Use the x value to solve for y
y = 2(4)-8 = 0