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.
Given g(x) = 2x + 5, find g(1)
Answer:
g(1) =7
Step-by-step explanation:
g(x) = 2x + 5
Let x=1
g(1) = 2(1) +5
= 2+5
=7
Answer:
g(1) = 7
Step-by-step explanation:
g(x) = 2x + 5
Put x as 1 and evaluate.
g(1) = 2(1) + 5
Multiply 2 and 1.
g(1) = 2 + 5
Add 2 and 5.
g(1) = 7
Ms. Eskew's class had a class average of 77 % on their Math test. How would this be written as a ratio? A. 23:100 B. 77:100 C. 54:100 D. 100:77
Answer:
answer is B. 77 percent means 77/100
Have a great day
Step-by-step explanation:
brainliest please!!!!
Alex and Thomas share 30 sweets.They divide them in the ratio 3:2. Which share is Alex?
Answer:
Alex : 18
Step-by-step explanation:
3 + 2 = 5
30 ÷ 5 = 6
6 × 3 = 18
6 × 2 = 12
hey pls show some working i need some serious help
Answer:
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
Step-by-step explanation:
Step 1: Multiply exponents
[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]
Step 2: Simplify
[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]
Step 3: Flip the negative exponents
[tex]\frac{x^{12}y^{4}}{z^3}[/tex]
The first pool already contains 20 gallons of water and is being filled at the rate of 5 gallons per minute. The second pool already contains 50 gallons of water and is being filled at a rate of 3 gallons per minute. After how many minutes will the pools have the same amount of water?
Answer:
After 15 minutes, they will both have 95 gallons of water.
Step-by-step explanation:
If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z?
z = 3
z = 4
z = 5
z = 6
Answer:
The value of z is:
z = 6
Step-by-step explanation:
We have been given 4 options of z. Lets substitute each value in the given equation to see which option satisfies.
For z = 3sin(9z - 1) = cos(6z + 1)
sin(9(3) - 1) = cos(6(3) + 1)
sin(26) = cos(19)
0.438 = 0.945
FALSE
For z = 4sin(9z - 1) = cos(6z + 1)
sin(9(4) - 1) = cos(6(4) + 1)
sin(35) = cos(25)
0.574 = 0.965
FALSE
For z = 5sin(9z - 1) = cos(6z + 1)
sin(9(5) - 1) = cos(6(5) + 1)
sin(44) = cos(31)
0.695 = 0.857
FALSE
For z = 6sin(9z - 1) = cos(6z + 1)
sin(9(6) - 1) = cos(6(6) + 1)
sin(53) = cos(37)
0.799 = 0.799
TRUE
Answer:
z=6
Step-by-step explanation:
I took the test!
1/2(8+6)-2=4+x-2 pls explain the steps on how to get the answer
Answer:
3
Step-by-step explanation:
1/2(8+6)-2=4+x-2
1/2*14 -2 = 2+x
7-2=2+x
5=2+x
x=5-2
x=3
If a translation maps point (3, 2) to (5.3); or T:(3, 2) - (5, 3), indicate the image for (2, 4).
Answer:
(4,5)
Step-by-step explanation:
The x coordinate moves from 3 to 5 which is +2
The y coordinate moves from 2 to 3 which is +1
We move the point (2,4)
(2+2, 4+1) becomes (4,5)
The measure of angle 3 is 42°
What is the measure of angle 1 in degrees
Answer:
48 degrees
Step-by-step explanation:
Angle 2 is a right angle.
Right angles are 90 degrees.
A line is 180 degrees.
Angle 1, 5, and 2 form a line.
180-90=90
That means that Angles 1 and 5 add up to 90 degrees.
We know that Angle 3 is 42 degrees.
Angle 3 and 5 are Vertical angles.
Vertical angles are always congruent.
This means that Angle 5 is also 42 degrees.
As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)
42+x=90
Subtract 42 from both sides.
x=48
m<1=48
Answer:
It is 48 degrees because I took the test
Step-by-step explanation:
if a=3i+9j and b=4i-6j, find 5a-3b Write your answer in the form i + j.
Answer:
3i + 63j
Step-by-step explanation:
Step 1: Replace the variables with the given statements
5(3i+9j) - 3(4i-6j)
Step 2: Distribute
15i + 45j -12i + 18j
Step 3: Combine like terms
3i + 63j
The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers? Which three expressions could be used to represent the numbers?
A n; n - 4; 4n
B n; 4 - n; n + 4
C n; n/4; n + 4
Answer:
38
Step-by-step explanation:
38 because
pls help will mark brainliest
Answer:
[tex]1.11111 * 10^{11}[/tex] or [tex]111111000000[/tex]
Step-by-step explanation:
[tex]\frac{6666666*666666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] turns into [tex]\frac{6666666 * 666666}{36}[/tex]
[tex]\frac{777777 * 777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex] turn into[tex]\frac{777777^{2} }{49}[/tex]
[tex]\frac{6666666 * 666666}{36}[/tex] - [tex]\frac{777777^{2} }{49}[/tex] reduce these turns into
[tex]1111111 * 111111 - 15873 * 777777[/tex] multiply turns into
[tex]123456654321 - 12345654321[/tex] subtract turns into
[tex]111111000000[/tex]
Answer: 111,111,000
Step-by-step explanation: Logically it should be that
help me with the right answer
Answer:
x = 3
y = 1
Step-by-step explanation:
9x - y = 26 ---------------(I)
9x + y = 28 ---------------(II)
9x - y = 26
9x = 26 + y
Substitute 9x = 26 + y in equation (II)
26 + y + y = 28 {add like terms}
26 + 2y = 28 {subtract 26 from both sides}
2y = 28 - 26
2y = 2 {divide both sides by 2}
y = 2/2
y = 1
Substitute y =1 in equation (I)
9x - 1 = 26
9x = 26 + 1
9x = 27
x = 27/9
x = 3
x = 3
y = 1
Answer:
Brainliest!!!
Step-by-step explanation:
See picture
Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x squared y Superscript 10 Baseline EndFraction? Assume x not-equals 0, y not-equals 0. StartFraction 5 Over x Superscript 12 Baseline y Superscript 30 Baseline EndFraction StartFraction 1 Over 5 x Superscript 8 Baseline y Superscript 13 Baseline EndFraction StartFraction 5 Over x Superscript 4 Baseline y Superscript 7 Baseline EndFraction StartFraction y Superscript 7 Baseline Over 5 x Superscript 4 Baseline EndFraction
Answer:
The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFractionStep-by-step explanation:
Given the expression [tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }[/tex]for x ≠ 0, y ≠ 0 to get the equivalent expression we will have to simplify the given expression.
[tex]\frac{3x^{-6}y^{-3} }{15x^{2}y^{10} }\\= \frac{3}{15} x^{-6-2}y^{-3-10}\\ = \frac{3}{15}x^{-8}y^{-13} \\ =\frac{1}{5}x^{-8}y^{-13} \\[/tex]
The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction
Answer:
It’s b
Step-by-step explanation:
A car of mass 1200 kg, travelling at a steady speed of 15 m/s performs an emergency stop which takes 4.5 seconds. What braking force was applied by the driver and car to achieve this?
Answer:
4000 N
Step-by-step explanation:
this question should be in physics actually
m = 1200 kg
initial velocity = vo = 15 m/s
final velocity = vt = 0 because it stops
time needed = t = 4.5
so we can find the Force F by these step
first find deacceleration
vt = vo + at
0 = 15 + a(4.5)
15 = -4.5a
a = - 15/4.5 = - 10/3 = - 3.33 m/s²
F = m.a = 1200 . 10/3 = 4000 N
The following data summarizes
yesterday's orders at Sizzlin' Skillets. 3
Vegetable, 6 Chicken, 2 Pork, 2 Beef, 5
Shrimp. Based on this data, what is a
reasonable estimate of the probability
that the next type of stir fry ordered is
vegetable?
A: 0.11
B: 0.17
C: 0.28
D: 0.33
Answer: 3/21=1/7
Step-by-step explanation:
A water pipe took 40 minutes to fill 5 swimming pools, how long would it take to fill 3 such swimming pools?
Answer:
24
Step-by-step explanation:
It takes 40 / 5 = 8 minutes to fill one pool so it will take 8 * 3 = 24 minutes to fill 3 pools.
Answer: 24
Step-by-step explanation:
40/5=8
So 8hrs per pool, and there are 3 pools so 8*3=24min
Math I NEED HELP LOOK AT THE IMAGE ALGEBRA IS KILLING ME
Answer:
Based on the given information in the problem, 18 is found to be 75% of 24.
Step-by-step explanation:
In order to solve this problem, we must first know what we are being asked to do. In the problem, we are asked to find what percent of 24 is 18. We can find this percentage by dividing. We will divide 24 by 18.
18 ÷ 24 = 0.75
Now, we multiply this number by 100 to get the percent.
0.75 × 100 = 75
So, 18 is 75% of 24.
Answer:
the correct answer would be 75%
Need so help. REally appreciate it
Answer:
y = (1/2)(x) + 1/2
Step-by-step explanation:
The x-intercept is (-1, 0) and the y-intercept appears to be (0, 1/2).
As we go from the x-intercept to the y-intercept, x increases by 1 and y increases by 1/2. Thus, the slope of the line is m = rise / run = 1/2.
Knowing that m = 1/2 and b = (0, 1/2), we can write the equation of this line in slope-intercept form as
y = (1/2)(x) + 1/2
What percent of the rectangle below is shaded?
Answer:
80% of the rectangle is shaded.
Step-by-step explanation:
There are 10 rows and of those rows 8 are shaded.
Answer:
D
Step-by-step explanation:
80/10
10 20 30 40 50 60 70 80 90 100
8 shaded so 80 percent
A baby saw a toy and scooted closer, moving 1/3 of a meter in 1/4 of a minute.How fast was the baby moving
Answer:
1 1/3 meter a minute
Step-by-step explanation:
it pretty simple i just added
Answer:
1 1/3
Step-by-step explanation:
CORRECT ANSWER GETS A BRAINLIEST
Answer:
B. N(c) = (c-20)/n
Step-by-step explanation:
Given
C(n) = 10n+20
we have to find the inverse of this function
we have to express n in terms of C(n)
C(n) = 10n+20
we have make n independent of n and remove any other term containing on the side of n
subtracting 20 from LHS and RHS
C(n) - 20 = 10n+20 - 20
C(n) - 20 = 10n
dividing LHS and RHS by 10
C(n)/10 - 20/10 = 10n/10
=> n = (C(n) - 20)/10
Now given in problem, N(c) is no of bushels picked
and c is the cost of apple
so in function n = C(n) - 20/10
we replace C(n) with c
and n with N(c)
and then we have
N(c) = (c-20)/n Answer
Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's grandfather? A. 18 B. 19 C. 70 D. 72
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:
Selena has 31 days to complete her quilt for the county fair. The blue squares in the quilt can be sewn at a rate
of 4 squares per day, and the white squares at a rate of 7 squares per day. The quilt can have up to 96 squares
total. The blue fabric b costs about $0.80 per square and the white fabric w costs about $1.20 per square. Selena
wants to keep costs at a minimum. Write an inequality that expresses the total number of squares to be sewn.
Select one:
a. 4b + 7w < 96
b. 4b + 7w < 31
c. b + w <31
O d. b/4 + w/7 < 31
Answer:
The answer is a
Step-by-step explanation:
Becuase its right
Answer:
This is not an answer, just my though process:
Step-by-step explanation:
The fastest method would use all white squares:
96 white squares would take 13.7 days to complete and cost $115.20.
The cheapest method would use all blue squares:
96 blue squares would take 24 days to complete and cost $76.80.
As we can see, time is not the limiting step, the maximum of 96 squares is limiting.
An inequality equation should use the limiting step for it to be useful. Therefore, a, is most likely the answer.
A more concise answer would be: [tex]4b\leq 96[/tex]
The sum of three consecutive integers is 270. Find the integers
Answer:
Step-by-step explanation:
89,90,91
Answer:
Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:
x + x + 1 + x + 2 = 270
3x + 3 = 270
3x = 267
x = 89 which means that the answer is 89, 90, 91.
A $20,000 business computer depreciates at a rate of 15% per year. What equation would model the value of the computer?
Answer:
[tex]A = 20,000(0.85)^t[/tex]
Step-by-step explanation:
We will use the formula for compound interest here
where [tex]A = p( 1 + r)^t[/tex]
A=future value for any sum
P=present value of the sum
r= yearly interest rate, it should be expressed in decimal
t=time period , it should be in years
______________________________
given in the problem
p = $20,000
r = 15% (in decimal 15/100 = 0.15)
t is the time for which equation is to be model to find future value p
since, rate is for depreciation we need to take negative value of rate as value for computer will decrease
thus
r = -0.15
using the above values in formula [tex]A = p( 1 + r)^t[/tex]
[tex]A = p( 1 + r)^t\\A = 20,000(1 - 0.15)^t\\A = 20,000(0.85)^t[/tex]
Thus, model equation for the value of the computer is [tex]A = 20,000(0.85)^t[/tex]
HELP! WILL GIVE BRAINLIEST! Given the table of values below which of the following ordered pairs are found on the graph of the inverse function?
Answer:
C. (2,-2), (7,-1), (12,0), (17, 1), (22,2)
Step-by-step explanation:
a p e x , just took the quiz
analyze the diagram below and answer the question that follows.
Answer:
Option (3)
Step-by-step explanation:
To prove ΔMTD ≅ ΔLGS,
Statements Reasons
1). Segment TM ≅ GL 1). Given
2). Segment MD ≅ LS 2). Given
3). Segment TD ≅ GS 3). Additional information required
4). ΔMTD ≅ ΔLGS 4). SSS property
For SSS property corresponding sides of the given triangles must be congruent.
Therefore, additional information required is segment GS ≅ TD
Option (3). will be the answer.
(139) HELLLLLLLLLLLLLLLLLLLLLLLLLP
Answer:
Step-by-step explanation:
-3.25a+4a=2-5
0.75a=-3
a = -4
Tell me if its right