Country A has an exponential growth rate of 4.6% per year. The population is currently 5,849,000, and the land area of Country A is 38,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
Answer:
195.205998 years
Step-by-step explanation:
P=P0(1.046)^t P=future population P0=initial population t=years passed
38,000,000,000 = 5,849,000(1.046)^t
1.046^t = 38,000,000,000/5,849,000
1.046^t = 38,000,000/5,849
plug in log on both sides
log 1.046^t = log (38,000,000/5,849)
t[log 1.046] = log (38,000,000/5,849)
t = In (38,000,000/5,849)/ In 1.046
t ≈ 195.205998 (hope this helps)
y = x + 45
What is the y-intercept of the relationship?
A. 45
B. x + 45
C. x
D. y - 45
Answer:
D
Step-by-step explanation:
sketch the graphs using 3 points that belong to it y = -3x +2
Answer:
Step-by-step explanation:
Answer:
0,2
1,-1
2,-4
Step-by-step explanation:
⚠️ANSWER ASAP⚠️ 4x−(2x−9)−12x How many terms
Answer:
4
Step-by-step explanation:
I need the answer for this question
Answer:
6,912 i think that's the answer I'm not sure though
Step-by-step explanation:
Answer:
[tex]8,400in^2[/tex]
Step-by-step explanation:
Area of Trapezoid: [tex]A=h(\frac{b1+b2}{2} )[/tex]
Given: B1, B2 and h
B1 = 18 in
B2 = 24
h = 16 in
Substitute variables for the give numbers:
[tex]A=16(\frac{18+24}{2} )\\A = 336 in^2[/tex]
The 336 in is for one desk, and they want you to find 25 desks. So multiply 336 and 25.
[tex]x = 25(336)\\x = 8,400in^2[/tex]
answer and show work and ill give brainliest
9514 1404 393
Answer:
(d)
Step-by-step explanation:
The area of the semicircle is ...
A = (1/2)πr²
A = (1/2)(3.14)(4 m)² = 25.12 m²
The area of the triangle is ...
A = 1/2bh
A = 1/2(12 m)(8 m) = 48 m²
Then the total area of the composite figure is ...
total area = semicircle area + triangle area
= 25.12 m² + 48 m² = 73.12 m²
_____
Additional comment
The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.
You should talk to your teacher about this question. None of the offered choices is correct.
The weight of 8 science books is 28 pounds. What is the weight of 11 science books?
The weight of 11 science books is
pounds.
Answer:
11 books = 33 Pounds
Step-by-step explanation:
24 divided by 8 = 3 pounds per book.
3 x 11 = 33 pounds
Hope this helps
Answer:
38.5
Step-by-step explanation:
28÷8=3.5
3.5×11=38.5
The heights, in inches, of several seventh-grade students at Evan Mills Middle School are
listed below.
56, 50, 47, 55, 50, 51, 55, 45, 55, 49, 45, 44
Which box plot best displays these data?
AHHH
40 42 44 46 48 50 52 54 56 58 60
T
B
A+++
40 42 44 46 48 50 52 54 56 58 60
40 42 44 46 48 50 52 54 56 58 60
40 42 44 46 48 50 52 54 56 58 60
Verify the following identity and show steps
(Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
Which of the following is not a term in the expression
in the graph, the vector terminating at A represents the complex number z. the vector terminating at B represents the product of z and -2. which graph correctly represents the product?y
Answer: The first one in the picture.
Step-by-step explanation: I got this right on Edmentum.
*There’s a picture below
In August 2003, 56% of employed adults in the United States reported that basic mathematical skills were critical or very important to their job. The supervisor of the job placement office at a 4-year college thinks this percentage has increased due to increased use of technology in the workplace. He takes a random sample of 30 employed adults and finds that 21 of them feel that basic mathematical skills are critical or very important to their job.
Required:
Is there sufficient evidence to conclude that the percentage of employed adults who feel basic mathematical skills are critical or very important to their job has increased at the a = 0.05 level of significance?
Answer:
Yes
Step-by-step explanation:
First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.
It has mean μ= np = 30×0.56=16.8
standard deviation s = √npq
sqrt(30×0.56×(1-0.56)) = 2.71
So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.
please can someone help me quickly? i will give brainliest (please no links)
What is the approximate value of 12−−√ ?
3.5
2
6
4.5
What is the measure of angle XYZ?
Answer:
63degrees
Step-by-step explanation:
Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.
Given
angle of its intercepted arc = 126 degree
Required
angle at the vertex = x =<XYZ
According to the theorem;
x = 1/2(126)
x = 126/2
x = 63
Hence the measure of <XYZ is 63degrees
1. Determine the area under the standard normal curve to the left of z=2.10.
Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters? A 150 millimeters B 1.500 millimeters C 100 millimeters D 1,000 millimeters
Answer:
1500 millimeters is your answer
question in screenshot
Which One Doesn't Belong (WODB)
Indicate which multiplication problem you believe does NOT belong in the group.
Explain Why!
Answer:
I think A does not belong to the multiplication problems, because A's outcome is 2 digit while the others are 1 digit.
Step-by-step explanation:
HELP ME PLEASE......
Answer:
reflective.
Step-by-step explanation:
this has a somewhat meaningful undertone, meaning it is not sarcastic or scholarly. It also is not arguementative because it is not agrueing anything.
Myrna is buying a new rug for her living room. What is the area of the rug, in square feet?
8 ft
12 ft
Ο Α. 40 ft2
O
B. 48 ft?
o
C. 80 ft2
D 96 ft2
Answer:
The answer is 96 square feet because if you look at the first rectangle (the one on the top left), you should multiply 5 times 6 which equals 30.
Answer:
(D), 96 square feet
Step-by-step explanation:
The formula for area is:
Length * Width = Area
Let's plug in the values:
8 * 12 = 96 square feet
Therefore, the answer is (D), 96 square feet. Hope this helps!
Please help!!! Solve for the m
Answer:
36°
Step-by-step explanation:
[tex]m\angle C =sin^{-1}\frac{17}{29}\\m\angle C =35.888297553\degree\\m\angle C =36\degree[/tex]
A dog ran along a fence 10 times. The fence is 5 feet 3 inches long. How far did the dog travel? (12 inches = 1 foot
5 feet and 3 inches, 1 foot=12 inches, 12×5=60+3=63×5=315. so your answer is 315
3 1/7 x 10 answer plz
Answer:
31.43
Step-by-step explanation:
3 1/7 = 3.14285714285
3 1/7 x 10 = 31.4285714286 which is about 31.43
Answer:
31 [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]\frac{22}{7}[/tex]×[tex]\frac{10}{1}[/tex]
[tex]\frac{220}{7}[/tex]
31 [tex]\frac{3}{7}[/tex]
Would it be possible to draw a triangle with the following side lengths?
7 feet, 9 feet, 13 feet
Answer:
it is not possible
Step-by-step explanation:
At the beginning of the month, Sarah had 600 in her bank account. Within the month she made two deposits of and She also made three withdrawals 100, , and 20. How much was in her account at the end of the month?
Answer:
At the end of the month she has $578
Step-by-step explanation:
Given
[tex]Start\ balance = 600[/tex]
[tex]Deposits=50; 100; 48[/tex]
[tex]Withdrawal: 100; 20; 100[/tex]
Required
The balance at month end
Deposits simply means adding cash to the account and it has a very simple interest. So, we add .
While Withdrawal taking money out of the account. So, we subtract.
So, we have:
[tex]Month\ end = Start\ balance + Deposits + Withdrawal[/tex]
[tex]Month\ end = 600 + [50 + 100 + 48] - [100 + 20 + 100])[/tex]
[tex]Month\ end = 600 + 198 - 220])[/tex]
[tex]Month\ end = 578[/tex]
Hence, at the end of the month she has $578
CAN SOMEONE PLZZZ HELP ME? THIS IS DUE IN LIKE 5 MINUTES
Answer:
I think E im not sure which other one.
Step-by-step explanation:
Answer:
A and E
Step-by-step explanation:
hope this helps and hope you get a good score on your assignment/test/quiz
During week 3, Frank rode his bike about the same amount of time as week 1 and 2 combined. About how many hours did he ride his bike during week 3?
A 4 hours
B 4 hours
C 6 hours
D 7 hours
Answer:
6 hours
Step-by-step explanation:
3 1/4
+ 2 5/6 =
72/12 = 6
Smooth transitions in an informative essay_____
two paragraphs seamlessly.
A.connect
B.Separate
C.Divide
D.Classify
Kim is evaluating the expression 20 - 3p + 1 when p=4. Which expression can Kim use to evaluate the expression correctly?
Answer:
20-3(4)+1
Step-by-step explanation: