Answer:
[tex]f(t)=12(1.0139)^{12t}[/tex]
Step-by-step explanation:
Let the initial number of frogs = 12
And their population is growing with the annual growth rate = 16.68% per year
Function modeling the population after 't' years will be,
[tex]P(t)=12(1+r)^{t}[/tex]
Here, r = Annual growth rate
t = Number of years
If we convert the annual growth rate to monthly growth rate,
Expression modeling the population will be,
[tex]f(t)=12(1+\frac{r}{12})^{12t}[/tex]
[tex]=12(1+\frac{16.68}{12})^{12t}[/tex]
[tex]=12(1.0139)^{12t}[/tex]
Therefore, [tex]f(t)=12(1.0139)^{12t}[/tex] will be the answer.
Grade improvement and study motivation
Answer:
yes because we are leraning new things
Angle ADB and CD are straight lines.
angle ADC = 5 x angle CDB
Work out the size of angle ADC.
Answer:
150 degrees
Step-by-step explanation:
5 + 1 = 6
180 : 6 = 30
30 x 5 = 150
Karma was given some birthday money. She puts money in an account. Every month after that, she deposits the same amount of money. The equation that models this situation is y=75x+60, where y is the amount of money in the account and x is the number of deposits. What does the y-intercept mean in this situation
Answer:
y represents the amount in the bank account after 7 months.
Step-by-step explanation:
Let karma gets x money on his birthday.
He has 60 in his account initially
He deposits teh same money for the seven months
So, the money he has after the seven months is 7 x + 60
According to the question,
y =7 x + 60
It shows that the amount after seven months is y.
10)
Ka
The longer base of a trapezoid has endpoints of (-2,- 4) and (4,0). The shorter base contains the point (3, 1).
(40)
(2)
We an equation of the line that contains the shorter base of the trapezoid. Provide valid mathematical reasoning and calculations to
you derived your equaiton.
of a trapezoid are parallel
Suation and explanation in the space provided.
Math symbols
Relations
Geometry
Answer:
y = 2·x/3 - 1
Step-by-step explanation:
The endpoints of the longer base of the trapezoid = (-2, -4), and (4, 0)
The point contained on the shorter base = (3, 1)
The slope of the line representing the longer base, m, is given as follows;
m = (0 - (-4))/(4 - (-2)) = 2/3
The slope of the shorter base = The slope of the longer base = m = 2/3
The equation of the line representing the shorter base in point and slope form is therefore;
y - 1 = (2/3)·(x - 3)
∴ y = 2·x/3 - 2 + 1 = 2·x/3 - 1
The equation of the shorter side of the trapezoid is y = 2·x/3 - 1
5x+y=2 4x+y=4
how do i solve this?
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
See this attachment
[tex]\boxed{\boxed{\sf{x=-2~and~y=12 }}}[/tex]
Question 4 of 25
Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 58 and 64? Round your
answer to the nearest tenth of a percent.
A. 53.3%
B. 54.3%
C. 52.3%
D. 51.3%
Answer:
Step-by-step explanation:
We are looking for P(58 < x < 64). We need to find the percentage to the left of the z-scores for each of these numbers. To find the z scores, use the formula:
[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex]
[tex]z=\frac{58-62}{4}[/tex] which gives us a z-score of -1. The percentage of numbers to the left of a z-score of -1 is .1586553
Now for the other z-score:
[tex]z=\frac{64-64}{4}[/tex] which gives us a z-score of .5. The percentage of numbers to the left of a z-score of .5 is .69146246
The lower percentage subtracted from the higher gives the area in question:
.69146246 - .1586553 = .53280716, or as a percentage, 53.3%, choice A.
Find the length of side x in simplest radical form with a rational denominator.
60°
12
Submit Answer
Answer: =
attempt 1 out of 2
PLSSSSS HELP
Answer:
24
Step-by-step explanation:
cos 60 = adjacent / hypotenuse
1 / 2 = 12 / x
x = 2 ( 12 )
x = 24
Complete the sentence. The amount of time it takes to drive from your house to the library is most likely to be a function of the _____.
Answer:
D. distance
Step-by-step explanation:
really ? given the choices you needed help with that ?
only D makes sense. the rest is completely ridiculous and has nothing to do with driving from the house to the library.
if V = 1/3 BH, what is h expressed in terms of B and V?
A) 1/3VB
B) V/3B
C) 3V/B
D) 3VB
V=(1/3)(B)(h)
multiply both sides by 3
3V=Bhdivide both sides by B
3V/B=hsomeone please help me
Step-by-step explanation:
D) (A³/2)³ = A⁹/8
A³ whole to the power 3 is A⁹
2³ is 8
Moosonee: -1.5°C
Cold Lake: -4.5°C
Anchorage: -9.5°C and
Moscow: -1°C
Which city is warmer?
Answer:
Moscow
Step-by-step explanation:
In negatives the greater number is less. So -1 is the greatest, and thus, Moscow is the answer.
Moscow with a temperature of -1°C is warmer than Moosonee (-1.5°C), Cold Lake (-4.5°C), and Anchorage (-9.5°C).
The temperatures provided for the cities are as follows:
Moosonee: -1.5°C
Cold Lake: -4.5°C
Anchorage: -9.5°C
Moscow: -1°C
To determine which city is warmer, we compare the temperatures.
The higher the temperature, the warmer the city.
Moscow has the highest temperature of -1°C.
Therefore, Moscow is the warmest city compared to Moosonee, Cold Lake, and Anchorage, as it has a temperature that is closer to 0°C (warmer) compared to the other cities.
To learn more on Number system click:
https://brainly.com/question/1763119
#SPJ4
The cost of a pound of nails increased from $2.22 to $2.46. What is the percent of increase to the nearest whole-number percent?
Subtract to find the amount of the increase then divide the amount of increase by the original amount:
2.46 - 2.22 = 0.24
0.24/2.22 = 0.108
Multiply by 100 to get percent:
0.108 x 100 = 10.8%
Rounded to nearest whole number = 11%
When you flip a biased coin the probability of getting a tail is 0.34. Find the probability of getting a head.
Answer:
If you want to know what the probability is to get at least one Heads, then that is the same as the probability of all the events (100%, or 1) minus the probability of getting all Tails.
There are 100 coins. 99 are fair, 1 is biased with both sides as heads. With a fair coin, the probability of three heads is 0.53=1/8. The probability of picking the biased coin: P(biased coin)=1/100.
Step-by-step explanation:
Add 1,249 and 594.
what is their sum rounded to the nearest hundred?
A. 700
B. 1,800
C. 1,900
Answer:
1249+592=1843, rounding that you get B, 1,800
HELP ILL GIVE BRAINLIEST
A) 4.5×10¹¹ B) 3.5×1000
Hope it helped you
Anyone? Ive tried and its not clicking
Answer:
Hello Bro How Are You....?
22. If y = 1/3(x - 2), express x in terms of y A. X = 3y - 2 B. x = 3y + 2 C. x=y D. x=-Y
Answer:
B. x= 3y+2
Step-by-step explanation:
y=⅓x-⅔
⅔+y=⅓x
(⅔÷⅓)+(y÷⅓)=⅓x÷⅓
2+3y=x
The equation of the line that goes through the point .............................................................
Answers:
m = 3/4b = -3/4Note: 3/4 = 0.75
====================================================
Explanation:
The first thing we need to do is solve that given equation for y
4x+3y = 3
3y = 3-4x
3y = -4x+3
y = (-4x+3)/3
y = (-4x)/3 + 3/3
y = (-4/3)x + 1
This last equation is in slope intercept form, y = mx+b, where,
m = -4/3 = slopeb = 1 = y interceptThese m and b values are not the final answer unfortunately, as we have yet to determine anything about the perpendicular line. However, it helps us build toward the answer.
We'll focus on the slope.
Apply the negative reciprocal to -4/3 to get 3/4. We flip the fraction and the sign from negative to positive.
This means the perpendicular slope is 3/4 and this value goes in the first box.
-----------------------------
From here, we'll use the fact that the perpendicular line goes through the point (x,y) = (5,3)
i.e. we have x = 5 and y = 3 pair up together.
Use that perpendicular slope we found earlier to say,
y = mx+b
3 = (3/4)*5 + b
3 = 15/4 + b
3 - 15/4 = b
12/4 - 15/4 = b
(12-15)/4 = b
-3/4 = b
b = -3/4 is the y intercept of the perpendicular line
Answer:
y = 3/4 x -3
Step-by-step explanation:
4 x + 3y = 3
3y = -4x + 3
y = -4/3x + 1
~~~~~~~~~~~~~~~~~~~~~~~
y = 3/4 x + b
3 = 3/4(5) + b
12 = 15 + b
B = -3
I need help pleaseee
Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, tangent.
Remember: SOH-CAH-TOA
From the angle, we know the opposite side and want to figure out the adjacent side. Therefore, we should use the tangent function.
tan(35) = 6/RS
RS = 6 / tan(35)
RS = 8.6
Hope this helps!
The number 55 is attached to a two-digit number on its left, and the formed 4-digit number is divisible by 24. What could be the two-digit number? List all options.
Answer:
the answer will be 44 I think I hoped I helped if not sorry.
Step-by-step explanation:
Find the area of the surface generated by revolving the curve xequals=StartFraction e Superscript y Baseline plus e Superscript negative y Over 2 EndFraction ey+e−y 2 in the interval 0 less than or equals y less than or equals ln 20≤y≤ln2 about the y-axis.
Solution :
[tex]$x=f(y) = \frac{e^y + e^{-y}}{2} , \ \ \ \ \ 0 \leq y \leq \ln 2$[/tex]
[tex]$\frac{dx}{dy} = \frac{e^y + e^{-y}}{2}$[/tex]
[tex]$\left(\frac{dx}{dy}\right)^2 = \frac{e^{2y} - 2 + e^{-2y}}{4}$[/tex]
[tex]$1+\left(\frac{dx}{dy}\right)^2 = 1+\frac{e^{2y} - 2 + e^{-2y}}{4} = \frac{e^{2y} + 2 + e^{-2y}}{4}$[/tex]
[tex]$ = \left(\frac{e^y + e^{-y}}{2}\right)^2$[/tex]
[tex]$\sqrt{1+\left(\frac{dx}{dy}\right)^2} = \sqrt{\left(\frac{e^y + e^{-y}}{2}\right)^2}=\frac{e^y + e^{-y}}{2}$[/tex]
[tex]$S = \int_{y=a}^b 2 \pix \sqrt{1+\left(\frac{dx}{dy}\right)^2 } \ dy$[/tex]
[tex]$=\int_{0}^{\ln2} 2 \pi \left(\frac{e^y+e^{-y}}{2}\right) \left(\frac{e^y+e^{-y}}{2}\right) \ dy$[/tex]
[tex]$=\frac{\pi}{2}\int_{0}^{\ln 2}(e^y+e^{-y})^2 \ dy = \frac{\pi}{2}\int_{0}^{\ln 2}(e^{2y}+e^{-2y}+2) \ dy $[/tex]
[tex]$=\frac{\pi}{2} \left[ \frac{e^{2y}}{2} + \frac{e^{-2y}}{-2} + 2y \right]_2^{\ln 2}$[/tex]
[tex]$=\frac{\pi}{2} \left[ \left(\frac{e^{2 \ln 2}}{2} + \frac{e^{-2\ln2}}{-2} + 2 \ln2 \right) - \left( \frac{e^0}{2} + \frac{e^0}{-2}+0\right) \right]$[/tex]
[tex]$=\frac{\pi}{2}\left[ \frac{e^{\ln4}}{2} - \frac{e^{\ln(1/4)}}{2} + \ln 4 - \left( \frac{1}{2} - \frac{1}{2} + 0 \right) \right]$[/tex]
[tex]$=\frac{\pi}{2} \left[\frac{4}{2} -\frac{1/4}{2} + \ln 4 \right]$[/tex]
[tex]$=\frac{\pi}{2} \left[ 2-\frac{1}{8} + \ln 4 \right]$[/tex]
[tex]$=\left( \frac{15}{8} + \ln 4 \right) \frac{\pi}{2}$[/tex]
Therefore, [tex]$S = \frac{15}{16} \pi + \pi \ln 2$[/tex]
please help with the fourth part
Answer:
ofc its p/q
Step-by-step explanation:
Please help me❤️ I keep getting it wrong
Answer:
[tex] = { \tt{ \frac{30}{120} + \frac{40}{120} }} \\ = \frac{7}{12} [/tex]
Solve for 2. Round to the nearest tenth of a degree, if necessary.
U
9.4
xº
T
PLSSSS HELP
Step-by-step explanation:
sin x0= 7/9.4
sin x0= 0.745
x0 = sin^-1 0.745
x0= 48.2
EASY BRAINLIEST ANSWER ASAP!!
Complete the ordered pairs, using the given equation:
4x + 3y = 12 (0, ) (-1, ) ( ,10 )
Answer:
(0, 4) (-1, 16/ 3) (-9/ 2, 10)Step-by-step explanation:
In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.
1.
4x + 3y = 12 . . . . . .(0, _)
here were given the x variable
finding the other term
4× 0 + 3y = 12
3y = 12
y = 4
therefore the ordered pair is (0, 4)
2.
. . . . . . . (-1, _)
here were given the x variable
4 × -1 + 3y = 12
3y = 12 + 4
3y = 16
y = 16/ 3
ordered pair is (-1, 16/ 3)
3.
. . . . . . . . (_, 10)
here were given the y variable
finding the other term
4x + 3 × 10 = 12
4x + 30 = 12
4x = 12 - 30
4x = -18
dividing both sides by 2
2x = -9
x = -9/ 2
ordered pair is (-9/ 2, 10)
SOMEONE HELP ME PLEASE
Answer:
y = 5/2
Step-by-step explanation:
An inverse variation is of the form
xy = k where k is a constant
From the first pair of point
2*5 = k
10 = k
xy = 10
Using the second pair of points
4y = 10
Divide by 5
4y/4 = 10/4
y = 5/2
Answer:
4,3
Step-by-step explanation:
it went up two so i guess the other has to go down two?
Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis?
Answer:
(-5, 3)
Step-by-step explanation:
two football tickets and one basketball ticket cost $126.77. one football ticket and 2 basketball tickets cost $128.86 find the cost of each ticket
Answer:
Cost of each football ticket=$41.56
Cost of each basketball ticket=$43.56
Step-by-step explanation:
Let
Cost of each football ticket=x
Cost of each basket ball ticket=y
According to question
[tex]2x+y=126.77[/tex]...(1)
[tex]x+2y=128.86[/tex] ....(2)
We have to find the cost of each ticket.
Equation (1) multiply by 2 then we get
[tex]4x+2y=253.54[/tex] .....(3)
Now, subtract equation (2) from (3)
[tex]3x=124.68[/tex]
[tex]x=124.68/3[/tex]
[tex]x=41.56[/tex]
Now, using the value of x in equation (2)
[tex]41.56+2y=128.86[/tex]
[tex]2y=128.86-41.56[/tex]
[tex]2y=87.3[/tex]
[tex]y=87.3/2=43.65[/tex]
Hence, cost of each football ticket=$41.56
Cost of each basketball ticket=$43.56
0.5 + 1/9 show step by step and ill make you brainliest
Answer: 11/18
1. Convert 0.5 to a fraction
5/10
5/10 simplifies to 1/2
2. Add 1/2 and 1/9 by finding a common denominator
Common deniminator is 18 (2*9=18, 9*2=18)
1/2=9/18
1/9=2/18
3. Add
9/18+2/18=11/18
4. The answer is 11/18
[tex]\displaystyle\ \Large \boldsymbol 0,5+\frac{1}{9} =\frac{1^{/9}}{2} +\frac{1^{/2}}{9}=\frac{9+2}{18} =\boxed{\frac{11}{18} }[/tex]
Help me ASAP please people
Answer: 36
Step-by-step explanation= First let's calculate the area of the the inner rectangle so 6x4=24. Now let's add the area of the rectangle,(BY CUTTING IT INTO HALF) this part is hard but first lets add 3 cm then, 2 cm then lets add, 1 cm. So (3x2 is 6) now lets multiply that by 1, so you get 6. Multiply that by 4 it = 24 now let's add 24+24 which = 48. Hope it helps!!
