Answer:
It'll take approximately 34 years from today.
Step-by-step explanation:
in order to solve this problem we first need to find the rate of change, "k", to do that we will use the given information where the population was 1400 five years ago and its now 1000. Applying this data to the equation gives us:
[tex]A = A_0*e^{k*t}\\1000 = 1400*e^{5*k}\\1400*e^{5*k} = 1000\\e^{5*k} = \frac{1000}{1400}\\ln(e^{5*k}) = ln(\frac{1000}{1400})\\5*k = ln(1000) - ln(1400) \\k = \frac{ln(1000) - ln(1400)}{5} = -0.06729[/tex]
We now know the value for "k", we can estimate how many years it will take for the bird population to dip below 100. We have:
[tex]100 = 1000*e^{-0.06729*t}\\e^{-0.06729*t} = \frac{100}{1000}\\ln(e^{-0.06729*t} = \frac{1}{10}\\-0.06729*t = ln(0.1)\\t = -\frac{ln(0.1)}{0.06729} = 34.22[/tex]
It'll take approximately 34 years from today.
PROBLEM: A canvas tent is to be sewn to the
dimensions as shown. The tent consists of two
side panels, each 10 feet by 10 feet; two end
panels that are triangles, each 8 feet high and
12 feet at the base; and a floor that is 12 feet
by 10 feet.
About how many square feet of canvas
are used to make the tent (sides, ends,
and floor)?
Select the correct answer.
268 sq.ft.
200 sq.ft.
296 sq.ft
10'
320 sq.ft.
416 sq.ft.
DONE
Answer:
416 sq ft
Step-by-step explanation:
2*(10 x10) + (8 x 12) + (12 x 10) =
200 + 96 + 120 =
416 sq ft.
John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours? A. 4.5 miles B. 2 miles C. 6 miles D. 10 miles
Answer:
2
Step-by-step explanation:
well less than 3
Answer:
A
Step-by-step explanation:
The easiest way to do this problem is to find out how far he can go in 1/2 hour.
If he goes 3 miles in 1 hour
he will go 3/2 miles in 1/2 hour
=============
Now just add this onto the distance travelled in 1 hour.
3 + 3/2 = 3 + 1.5 = 4.5
The answer is A
The answer can be obtained another (perhaps better ) way.
Set up a proportion
1 hour gives 3 miles
1.5 hours gives x
1/1.5 = 3/x Cross multiply
1*x = 1.5 * 3 Combine
x = 4.5 miles
A
B
If MZACD = 40° , then m DCB = [?]°
Answer: 140
Step-by-step explanation:
Given the pair of triangles are similar find the unknown length of the sides labeled with a variable
Answer:
The answer is below
Step-by-step explanation:
The question is not complete. Let us assume the following:
Let us assume triangle ABC is a right angled triangle with side AB = 24, AC = 32 and the hypotenuse BC = 40. Triangle PQR is a right angled triangle similar to triangle ABC with side PQ = 27, PR= b and the hypotenuse QR = a.
Answer:
Two triangles are said to be similar if they have proportional angles or proportional sides that is they have the same shape. For similar triangles, the ratio of their corresponding side are the same.
Given that triangle ABC is similar to triangle PQR, therefore:
[tex]\frac{AB}{AC}=\frac{PQ}{PR}\\ Substituting:\\\frac{24}{32}=\frac{27}{b}\\cross\ multiplying:\\b=\frac{27*32}{24}\\ b=36[/tex]
[tex]\frac{AB}{BC}=\frac{PQ}{QR}\\ Substituting:\\\frac{24}{40}=\frac{27}{a}\\cross\ multiplying:\\a=\frac{27*40}{24}\\ a=45[/tex]
WHAt is the equation of the graph below?
plz help find the equation of the circle
Answer:
[tex](x-2)^2+(y+4)^2=34[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Since you already know the coordinates of the center of the circle, all you need to do is find the radius. Using the distance formula:
[tex]r=\sqrt{(7-2)^2+(-1-(-4))^2}=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}[/tex]
The equation of the circle is therefore:
[tex](x-2)^2+(y+4)^2=34[/tex]
Hope this helps!
A fruitshake costs R2,00 more than a chocolate milkshake. If 3 fruitshakes and 5 chocolate milkshakes cost R78,00, determine the individual prices.
Step-by-step explanation:
Let F represent fruitshake and C chocolate milkshake
one fruitshake cost more 2R more than chocolate shake and
3F + 5C = R78,00
Then (78 - 6) ÷ 8 = 9
a fruitshake costs R11,00 and chocolate milkshake costs 9R,00
The life spasms of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard deviation of 9 months. What is the probability of a randomly selected hard drive from the company lasting between 2 years and 3 months and 3 years and 3 months? Use the portion of the standard normal table below to help answer the question.
Answer:
32%
Step-by-step explanation:
Got it right on the quiz.
Pls give me brainliest
Answer:
32%
Step-by-step explanation:
Please help me answer this question ASAP!
Answer:
B, D and E are correct
Step-by-step explanation:
because
4(3n-2)=4*3n-4*2=12n-8
4n+4-12+8n=12n-8
11n+4+n-12=12n-8
hope this helps
Which letter in the word HAPPY has an order 2 rotational symmetry?
Answer:
H
Step-by-step explanation:
Here only letter H maps onto itself 2 times in a rotation of 360°i.e.one at angle 180° and one at angle 360°.
Answer:a
Step-by-step explanation:
"Ashley and Beth drove from city A to city B in exactly 5 hours, not taking any rest stops. Ashley drive up to the area located half way between the two cities at the average speed of 40 miles per hour and then Beth drove the other half at an average speed of 60 miles per hour. How many hours did Beth drive on their trip?"
Answer:
Time taken by Beth = 2 hours
Step-by-step explanation:
Given:
Average speed of Ashley = 40 miles per hour
Average speed of Beth = 60 miles per hour
Total time taken = 5 hours
Distance covered by Ashley = Distance covered by Beth
Find:
Total time taken by Beth
Computation:
Assume, Distance covered by Beth = x
So, Distance covered by Ashley = x
Time taken by Beth = t
Time taken by Ashley = 5 - t
So,
Distance covered by Ashley = Average speed of Ashley × Time taken by Ashley
x = 40 × (5 - t)
x = 200 - 40t................Eq1
Distance covered by Beth = Average speed of Beth × Time taken by Beth
x = 60 × t................Eq2
From Eq2 - Eq1
100 t = 200
t = 2 hours
Time taken by Beth = 2 hours
Help me please I'm a complete mess at maths!
Answer:
P(0,2)
Q(1/2, 0)
Step-by-step explanation:
For P, set x=0 (that is given!).
y = 2 - 4*0 = 2
For Q, set y=0:
0 = 2 - 4x
4x = 2
x = 1/2
(the two other questions follow quite easily from this answer)
Generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 22, 21, 18, 19.
Use the ranges listed in the table:
Range Number of Values Relative Frequency
1-5
6 - 10
11 - 15
16 - 20
21 - 25
What is the relative frequency for the range 1 - 5
a. 0.33
b. 0.4
c. 0.2
d. .27
Answer:
C. 0.2
Step-by-step explanation:
first we would count the number of values there are in total - 15
next we would find the frequency (how many times a number occurs) for the range 1 to 5
there are three values in this range: 2,3, and 3
last buy not least, u divide the frequency of the range, 3, by 15, the total amount of numbers to get 1/5 or 0.2
hope this helped!
Answer:
0.2
Step-by-step explanation:
Plz help. I’m trying but I can’t. Figure this one out. Mainly because the equations aren’t lined up accordingly with the variables
Answer:
x = 2
y = 1
z = 3
Step-by-step explanation:
Okay, we know y=z-x.
Let's plug in that y-value into the first equation: x + 2 (z - x) -z =1
Simplify that down to x +2z -2x -z = 1
Equation 1 becomes -x + z = 1
Let's plug it into equation 3 and solve to get: 2x - (z - x) +3z = 12
Equation 3 becomes 3x + 2z = 12
Now let's use system of equations for those two equations we just found
3x + 2z = 12
-2x + 2z = 2 ------> multiplied this by 2 to simplify
subtract, and you 5x = 10, x = 2
Use x = 2 and solve for the other variables using the same method (try this on your own!) to get y = 1 and z = 3
HELP ME PLEASE REALLY IMPORTANT OR ILL GET IN TROUBLE!! WILL MARK AS BRAINLEST IF YOU GET IT CORRECT!!
Answer:
7
Step-by-step explanation:
Given the following scores on a 30-point quiz, if another student took the quiz, which of the following is more likely to be the student's score?
21, 27, 20, 29, 23, 21, 21, 27, 26, 25
A. 27
B. 24
Answer:
24
Step-by-step explanation:
I took the test :)
Answer the following question: Find the area of a circle with a circumference of 6.28 units. (Will mark brainliest)
Answer:
The circumference, C, of a circle is found by the following equation: C = 2 x pi x r where r equals the radius of the circle (or half its diameter) and pi = 3.14159 (a constant). Thus, 6.28 = 2 x pi x r
Step-by-step explanation: Brainliest please
Anyone know the answer to this ?
Answer & Step-by-step explanation:
The first thing we must do is gather information about the two triangles. The problem says that the two triangles are ≅. This sign, ≅, means that the two triangles are congruent. Congruent means two things that have the same measurements and are equal in measure.
So, since we know this, we can conclude that AB≅PQ, BC≅QR, and CA≅RP.
In order to find the measurement of PM, we are going to use the Pythagorean Theorem to find the measurement of PR. Then, we are going to divide that number by 2 because M is the midpoint of PR. Midpoints divides the line segment into two equal parts.
[tex]a^2+b^2=c^2[/tex]
a = 6
b = 8
Now, let's plug in these numbers.
(6)² + (8)² = c²
Simplify the exponents.
36 + 64 = c²
Add the numbers together.
100 = c²
Take the square root of 100 and c².
√100 = √c²
Simplify the square roots.
10 = c
Now, divide 10 by 2.
10 / 2 = 5
So, the measurement of PM is 5 cm.
PLZ HELP 50 POINTS AND BRAINLIEST!!!!!!!! Karen has a large pile of colored rods. Each color is a different length. She is trying to connect different colored rods to make triangles as part of a hanging sculpture. Here is a list of rod lengths.
Red: 3 inches
Orange: 4 inches
Yellow: 5 inches
Green: 7 inches
Blue: 9 inches
Purple: 12 inches
1. How many triangles can she make with them if each side is a different color? List the combinations that work.
2. Karen was just trying different combinations of colored rods one at a time, placing the colored rods together to see if they make a triangle. What method did you use to determine the triangle options? Which method do you think is better and why?
Answer:
9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP
Step-by-step explanation:
We need to consider The Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.Let's see what are the possible combinations:
3+4= 7 so possible 3rd side is 5
3, 4, 5 or ROY3+5= 8 so possible 3 rd side is 7
3, 5, 7 or RYG3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)
3, 7, 9 or RGB3+9= 12 so possible 3rd side is 7, see one above
3+12= 15 so possible 3 rd side is none
4+5=9 so possible 3rd side is 7
4, 5, 7 or OYG4+7= 11 so possible 3rd side is 9
4, 7, 9 or OGB4+9= 13 so possible 3rd side is 12
4, 9, 12 or OBP5+7= 12 so possible 3rd side is 9
5, 7, 9 or YGB5+9= 14 so possible 3rd side is 12
5, 9, 12 or YBP7+9= 16 so possible 3rd side is 12
7, 9, 12 or GBPSo the possible 9 combinations are:
RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP
???????? ?????? ?????
Answer:
so 23.5+24.3+33.8=81.6
Step-by-step explanation:
81.6
20 points if you can answer this expression and give me 2 equivalent expressions SHOW YOUR WORK PLEASE!!! 32(10j + 17 + 5j)
Answer:
Brainliest!
Step-by-step explanation:
32(10j + 17 + 5j)
equvilatnt equations include:
320j + 32(17+5j)
32(10j+17)+160j
This dot plot is not symmetric, and the data set has two extreme values.
What is the best mesure of center for this dot plot?
Answer:
D: median
hope this helps
help will give brainliest
Answer:
8
Step-by-step explanation:
i don’t have time now but i promise i’ll give it when i have time
Answer:
8
Step-by-step explanation:
Step 1: Find # of gender toys
80(0.4) = 32 toys for boys
80 - 32 = 48 toys for girls
Step 2: Find % made
32(0.5) = 16 toys made (boys)
48(0.5) = 24 toys made (girls)
Step 3: Find the difference
24 - 16 = 8
Solve -5 + w/3 = -1.
Answer:
w = 12
Step-by-step explanation:
-5 + w/3 = -1
w/3 = 4 (Add 5 to both sides)
w = 12 (Multiply 3 by both sides)
Help please ASAP
Look at the picture to see
Answer:
Tanb = 8/6
Step-by-step explanation:
Tanb = opposite side of b/adjacent side of
Therefore tan b = 8/6
Consider the following 8 numbers, where one labelled x is unknown. 3, 49, 36,x, 21, 39, 39, 41 given that the range of the numbers is 57, WORK OUT 2 VALUES OF X
Answer:
Step-by-step explanation:ghjhh
(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)
Answer:
8624.03
Step-by-step explanation:
(8×1,000)+(6×100)+(2×10)+(4×1)+(3×1/100)
8000+600+20+4+.03
8624.03
Answer:
8624.03
Step-by-step explanation:
8000 + 600 + 20 + 4 + .03
Someone please help
Answer:
A
Step-by-step explanation:
2 cubes horizontal, 3 cubes (down) vertical, 2 cubes horizontal.
Find the student's error in solving the following
inequality.
31 <-5x + 6
25 <-5x
-5
I need ur answer asap!!!! cos(-150°) = cos(-30°) cos30° -cos30°
Answer:
This is FALSE
Step-by-step explanation:
hope that helps
