Answer:
a) 10,500 big cats
b) 13,401 big cats
c) 33 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form; 5/100= 0.05)
t= years
A = population after t years
Replacing with the values given:
a) At 2005, 1 year passed since 2004 (t=1)
A = 10,000 (1+ 0.05)^1
A = 10,500 big cats
b)
At 2010, 6 years passed since 2004 (2010-2004= 6)
A = 10,000 (1+ 0.05)^6
A = 13,401 big cats
c)
50,000 < 10,000 (1+ 0.05)^t
Solving for t:
50,000/10,000 < 1.05^t
5 < 1.05^t
log 5 < log 1.05^t
log 5 < t ( log 1.05)
log 5 / log 1.05 < t
32.9 years < t
33 years = t
Feel free to ask for more if needed or if you did not understand something.
what’s the slope for this equation ?
Answer:
The equation's Slope is -1
Answer:
the slope would be -1. The equation would be y=-x+1
Step-by-step explanation:
Find the area of a circle with a diameter of 6.
Either enter an exact answer in terms of it or use 3.14 for I and enter your answer as a decimal.
units2
Answer:
A = 9pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know the diameter
r = d/2 = 6/2 = 3
A = pi (3)^2
A = 9pi
Answer:
[tex]28.26 \: \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]area \\ = \pi {r}^{2} \\ = 3.14 \times 3 \times 3 \\ = 28.26 \: \: {units}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the perimeter of this title ? HURRY PLEASE !!
Answer:
The perimeter is 10
Answer:
10 inches
Step-by-step explanation:
I need help with these two
Mary drove to Birmingham Airport at 45 miles per hour for the first two hours and then at 70 miles per hour for the remainder of the journey. Her average speed for the entire journey was 60 miles per hour. How long did Mary's journey to Birmingham Airport take?
THE AVERAGE SPEED IS SET TO CONFUSE YOU.
Step-by-step explanation:
IF YOU SEE, THE AVERAGE SPEED YOU TAKE OUT WITH THE SPEEDS
INITIAL AND FINAL YOU ALREADY HAVE
v s (45 mi/h + 70 mi/h)/2 x 57.5 mi/h
ALMOST IS EQUAL TO 60 mi/h
AS FOR TOTAL TIME DISTANCE IS REQUIRED, WE KNOW THAT MARY
TRAVELS FOR MORE THAN TWO HOURS, BUT WE DON'T KNOW FROM
HOW FAR FROM THE AIRPORT MARY START DRIVING. IT WON'T
TAKE THE SAME IF MARY DRIVES FROM MONTGOMERYI OR FROM
BUENOS AIRES, ARGENTINA.
The circumference of the hub cap of a tire is 76.87 centimeters. Find the area of this hub cap. Use 3.14 for pi. Use pencil and paper. If the circumference of the hub cap were smaller, explain how this would change the area of the hub cap.
The area of this hub cap is about
blank square centimeters.
Answer: The area of this hub cap is about 470.46 square centimeters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Circumference (C) = 2π radiusReplacing with the values given:
76.87 = 2 (3.14) r
Solving for r (radius)
76.87/ (2x 3.14) =r
r = 12.24 cm
To find the Area:
Area of a circle = π r^2A = 3.14 (12.24)^2
A = 470.46 cm2
If the circumference of the hub is smaller, the area is also smaller because it means that the radius of the circle decreases.
Feel free to ask for more if needed or if you did not understand something.
A recipe requires 1/3 cup of sugar for every 3/4 cup of flour. How many cups of sugar are required for every cup of flour?
Answer:
4/9 cup of sugar
Step-by-step explanation:
[tex]\frac{1}{3} cup of sugar= \frac{3}{4} cup of flour[/tex]
[tex]? cup of sugar=1 cup of flour[/tex]
so crisscross them and finally you'll get
1/3*4/3=4/9
For 1 cup of flour, 4/9 cups of sugar is needed.
What are ratios and proportion?Ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A statement expressing the equality of two ratios A:B and C:D is called a proportion. We can express proportion as -
A : B ∷ C : D
AND
A x D = B x C
Product of extremes equal to product of means.
Given is a recipe that requires 1/3 cup of sugar for every 3/4 cup of flour.
Now -
For 1/3 cup of sugar = 3/4 cup of flour is needed.
For 1 cup of flour = (1/3)/(3/4) cups of sugar = 1/3 x 4/3 = 4/9 cups of sugar is needed.
Therefore, for 1 cup of flour, 4/9 cups of sugar is needed.
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Determine the final amount of an annuity where you invest $10,000 evenly over the course of 20 years annually at a 5% annual interest rate
Answer:
17359.63
Step-by-step explanation:
(0+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
(ans+500)x1.05
=17359.63
PLEASE HELP GIVING BRAINLIEST TO ONLY CORRECT ANSWER
Answer:
I think option 3 but not sure
Step-by-step explanation:
Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out. The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes.
It takes 48 minutes for 7 people to paint 7 walls. How many minutes does it take 20 people to paint 20 walls?
Answer: 48 minutes
Step-by-step explanation:
If there are 7 people painting 7 walls, we can assume that 1 person is painting 1 wall. Altogether they can each paint in 48 minutes.
If there are 20 people painting 20 walls, it would also equal 48 minutes because each person can paint in that time.
Answer:
137 minutes.
2 hrs and 17 minutes
Step-by-step explanation:
The painting of each wall takes 6.85 minutes.
48 / 7 = 6.85.
therefore if there are 20 walls, it must take 20 people 2 hrs and 17 mins
20 x 6.85 = 137minutes.
Help me please I am so sad
Answer:B 8;45
Step-by-step explanation:
Answer:
Dont be sad :) The answer is B but give brainliest to the other person ʕ •ᴥ•ʔ
Step-by-step explanation:
Are the ratios 14:12 and 3:2 equivalent
Answer:
No it isnt
12 divided by 6 is 2, that means 14 need to be divided by 6 as well. but 14 divided by 6 is not 3
Answer:
No
Step-by-step explanation:
3 is not a multiple of 14 so you see not.
The base of an isosceles triangle is 4/5. The perimeter of the triangle is 4\2\15 what is the length of either of the remaining equal sides
Answer:
1 2/3
Step-by-step explanation:
Assuming you mean the perimeter is 4 2/15, the sum of the lengths of the two equal sides is ...
4 2/15 - 4/5 = 4 2/15 - 12/15 = 4 -10/15
Then either of the remaining sides is half this value, or ...
(4 -10/15)/2 = (4/2) -(1/2)(10/15) = 2 -5/15 = 1 10/15 = 1 2/3
Each of the remaining sides has length 1 2/3.
Please help I will give you BRAINLIEST
============================================================
Explanation:
Starting at (4, -1) and moving four units up will have us arrive at (4, 3). We add 4 to the y coordinate and keep the x coordinate the same. The algebraic rule is stated as [tex](x,y) \to (x,y+4)[/tex].
Next, we reflect over the y axis. This will have us flip the sign of the x coordinate while keeping the y coordinate the same. The algebraic rule for this kind of reflection is [tex](x,y) \to (-x,y)[/tex]. The point (4,3) reflects over the y axis to get to (-4,3)
So we started at (4, -1), then moved four units up to get to (4,3) and then reflected over the y axis to get to (-4, 3) which is the final stop.
This is all shown in the diagram below.
Madison is thinking of a number.She states that the sum of her number , n,and 2/7,is equal to 3/4. write an equation that represents the situation
Answer:
Step-by-step explanation:
If it has really helped u plz don't forget to thank me plz...
Please answer CORRECTLY !!!!!!!!! Will mark BRAINLIEST !!!!!!!!!!
Answer:
I think it is 60
Step-by-step explanation:
I assume that the time of the launch is 0, so just plug in 0 for x.
Please help!! Im bad at this
Answer:
B
Step-by-step explanation:
This is proportional because the number of calories burned is directly proportional to the amount of time spent on the treadmill
There are 3 boys in a Class of 11 student
What ratio of all student in the class of girls?
What ratio of girls to boys?
Answer:
1) 11:8
2) 3:8
Step-by-step explanation:
Answer:
ratio of girls to all students = 8/11 = 8 : 11
ratio of girls to boys = 8/3 = 8 : 3
Step-by-step explanation:
total students - boys = number of girls.
11 - 3 = 8
Problem Kiersten runs a website that helps people learn programming. Every month, Kiersten receives a subscription fee of $10\$10$10dollar sign, 10 from each of the subscribers to her website. Last month, the website had 100100100100 subscribers. This month, 30303030 new members joined the website, and 10101010 members cancelled their subscription. How much money will Kiersten's online business earn this month?
Answer:
$1200
Step-by-step explanation:
Every month, Kiersten receives a subscription fee of $10 from each of the subscribers to her website.
Last month she had 100 subscribers. This month, 30 new subscribers joined and 10 members canceled their subscription. The amount of subscribers she has now is:
100 + 30 - 10 = 120
This means that this month, Kiersten will earn:
10 * 120 = $1200
Pls help me Is hard for me
Answer:
15
Step-by-step explanation:
3 yards in a ft, so 15 yards in 5 ft.
Answer:
15 feet.
Step-by-step explanation:
1 yard = 3 feet
5 yards = x feet
[tex]x=5 \times 3[/tex]
[tex]x=15[/tex]
At the market, 8 apples cost , 4$ How much do 9 apples cost?
Answer:
$4.05
Step-by-step explanation:
We must divide 4 by 8. We get 0.5. 0.5 stands for $0.5. Then we add 0.5 to 4, which equals $4.05.
Hope this helped :)
simplify 3(-2a-4)+3a
Answer: -3(a+4) or -3a-12
Step-by-step explanation:
When you simplify, you want to use your order of operations.
-6a-12+3a
-3a-12
-3(a+4)
Answer: −3a−12
Step-by-step explanation:
Distribute:
=(3)(−2a)+(3)(−4)+3a
=−6a+−12+3a
Combine Like Terms:
=−6a+−12+3a
=(−6a+3a)+(−12)
=−3a+−12
I hope you learned your lesson please like me and heart me :)
Which Part of the Angle is the Vertex?
Answer:
D Point A
Step-by-step explanation:
The vertex is where the two sides of the angles come together
A is the vertex of the angle
Answer: D
Step-by-step explanation:
it will be point A!
Which numbers are between 4 over 6 and 7 over 5
Answer:
21/30, 22/30, 23/30..........39/30, 40/30, 41/30
Step-by-step explanation:
Numbers between 4/6 and 7/5 are:
Making the same demoninator, which is 30 (LCM)
Therefore, now the new numbers are 20/30 and 42/30.
Now,
the numbers between are 20/30 and 42/30:
21/30, 22/30, 23/30..........39/30, 40/30, 41/30
Hope it helps!
Mark as brainliest!
Thanks!!!
There are already 1,600 gallons of water in a swimming pool. If water is filling the pool at a rate of 25 gallons per minute, which expression indicates the amount of water, in gallons, in the swimming pool after m minutes?
The expression that indicates the amount of water, in gallons, in the swimming pool after m minutes is 1600 + 25m.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this case, there are already 1,600 gallons of water in a swimming pool and water is filling the pool at a rate of 25 gallons per minute.
Let m = number of minutes
The expression will be:
1600 + (25 × m)
1600 + 25m
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The midpoint of is point P at (−16,6). If point A is at (−10,8), what are the coordinates of point B? (−42,20) (−22,4) (−13,7) (2,−5)
Answer:
B (-22 , 4)
Step-by-step explanation:
-16=(-10+x)/2
*2 *2
-10+x=-32
+10 +10
x=-22
6=(8+y)/2
*2 *2
12=8+y
-8 -8
4=y
so B(-22, 4)
The coordinates of point B is (-22, 4).
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
If we have the end points (x', y') and (x'', y'').
The mid point is ((x' + x'')/2, (y' + y'')/2).
Given that one of the end point A is at (-10, 8).
The mid point is at P(-16, 6).
Let the other point be B(x, y).
(-10 + x) / 2 = -16 and (8 + y) / 2 = 6
(-10 + x) / 2 = -16
⇒ -10 + x = -32
⇒ x = -32 + 10
⇒ x = -22
(8 + y) / 2 = 6
8 + y = 12
y = 12 - 8
y = 4
Hence the coordinate of the other point is B(-22, 4).
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Scott traveled and left his home on his bicycle and went 2 miles to the beach. The trip took him 15 minutes. He returned home the same way at a speed of 6 miles per hour. How many hours did it Scott take to get back home?
It took him 20 minutes to get home going 6 mph.
Can someone please help me with this two please
Answer:
1. B
2. C
Step-by-step explanation:
1. In this, we already know one side and one angle are congruent. For the triangles to be congruent by SAS, another side is necessary. Thus CB = FE
2. Here, we see that one set of sides are congruent. We see another set of angles are congruent as well. We also know that the center angle is congruent as the angles are formed by two straight lines intersecting. Since we see 2 next door angles and the side beside it congruent, they are proven congruent by AAS.
16:07:48
marks:
Question: 1/20
The graph of which equation would be a circle with a center at
(2.3) and a radius of 7 ?
A. (x + 2y = (y - 3) = 7
B. (x - 2) = (y + 3) = 7
C. (x - 2y + (y + 3)2 = 49
D. (x - 2) - (y - 3)2 = 49
OB
Whats the correct choice?
Answer:
A. ( x + 2y = ( y - 3 ) = 7
maaf kalo salah
A square has a perimeter of 44cm. Calculate the area of the square.
The most relevant aka correct answer will get brainiest :)
Answer:
p = 44cm
perimeter of a square = 4l
44/4 = 11
area = l²
area = 11²
area = 121cm²
Step-by-step explanation: