Answer: The answer is B
Step-by-step explanation:
The function f(x) = 50(0.952)x, where x is the time in years, models a declining feral cat population. How many feral cats will there be in 9 years?
Work Shown:
f(x) = 50(0.952)^x
f(9) = 50(0.952)^9
f(9) = 32.1146016801717
f(9) = 32 approximately
Side note: the exponential function is in the form a*b^x with b = 1+r = 0.952, which solves to r = -0.048. The negative r value means we have a 4.8% decrease each year.
Another note: you don't even need to use math to answer this question. Note how 50 is the starting population and the population is declining. Only choice B has a value smaller than 50, so we can rule out the others right away.
Answer:
32
Step-by-step explanation:
The initial value of the population is f(0) = 50(0.952^0) = 50. If the population is declining, it must be less than 50 in 9 years. The only answer choice that is less than 50 is ...
about 32 feral cats
_____
You can evaluate f(9) to choose the same answer:
f(9) = 50(0.952^9) ≈ 32.114 ≈ 32
Marsha wants to buy carpet to cover her whole living room, except for the tiled floor. The tiled
floor is 4 ft by 2 ft. Find the area the carpet needs to cover. 1)
Solve on paper. Then check your work on Zearn. 1)
1
11
3
7
tiled floor
Answer:
68.06 sq. feets
Step-by-step explanation:
Area of room's floor
11.33 × 7 = 79.33
Area of tiled floor
4.83 × 2.33 = 11.278
Area of floor needed to be carpeted
79.33-11.278= 68.06
Find the mean, median, and mode
Answer:
Mean = $70.8
Median = $70
Mode = $60
Step-by-step explanation:
From the line plot attached,
Prices of the sunglasses are,
$20, $20, $50, $50, $50, $60, $60, $60, $60, $60, $60, $70, $70, $70, $80, $80, $80, $80, $90, $90, $90, $90, $100, $100, $130
Since mean of the data = Average of the terms
[tex]=\frac{\text{Sum of the terms in the data set}}{\text{Number of terms}}[/tex]
= [tex]\frac{2(20)+3(50)+6(60)+3(70)+4(80)+4(90)+2(100)+130}{(2+3+6+3+4+2+1)}[/tex]
= [tex]\frac{40+150+360+210+320+360+200+130}{25}[/tex]
= [tex]\frac{1770}{25}[/tex]
= $70.8
Median = Middle term of the data set
Since number of terms of the data set are odd (25)
Therefore, median = [tex](\frac{n+1}{2})\text{th term}[/tex] [where n = number of terms in the data set]
= [tex]\frac{25+1}{2}[/tex]
= 13th term
13th term of the data set is $70.
Therefore, Median = $70
Mode = Term repeated the most
In the data set $60 is the term which is repeated the most (6 times).
Therefore, Mode = $60
solution for 2x is equal to 10
Answer:
The answer is 5
Step-by-step explanation:
divide 10 by two and get 5
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
We have the equation [tex]2x = 10[/tex], we can try and isolate x by dividing both sides by 2.
[tex]2x \div 2 = 10\div2\\x = 5[/tex]
Hope this helped!
Euphrosynelight needs 2x-7 while her friend needs 5x+2 how much in total
Answer:
7x-5
Hope this helped; mark brainliest if it did! :)
PLEASE HELP f(x)=x^2 and g(x)=(x-3)^2+2 Describe how the graph of g(x) relates to the graph of its parent function, f(x). (HINT: Think about how f(x) was shifted to get g(x))
Answer:
The graph f(x) was shifted 3 units to the right and shifted 2 units up to get the graph of g(x).
Step-by-step explanation:
From the original graph to the transformed one, we can see that the transformations (x - 3) and + 2 were added to the equation.
The (x - 3) means that the x-value of the vertex will increase by 3, meaning that the graph will shift 3 units to the right.
The +2 will increase the y-value of the vertex by 2, meaning that the graph will move up 2 units.
So, the graph of g(x) relates to f(x) as it is a transformation 3 units to the right and 2 units upwards.
how many are 2 raised to 2 ???
Answer:
Step-by-step explanation: 2 raised to 2 or 2^2 is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4
Answer:
Step-by-step explanation: 2 raised to 2 or 2^2
is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4
The Tama, Japan, monorail carries 92,700 riders
each day. If the monorail usually carries
5,150 riders per hour, how many hours does
the monorail run each day?
Answer:
The number of hours monorail run each day is 18.
Step-by-step explanation:
The total number of riders the monorail carry each day is:
N = 92700.
The number of riders the monorail carry per hour is:
n = 5150.
Compute the number of hours the monorail run each day as follows:
[tex]\text{Number of hours the monorail run each day}=\frac{N}{n}[/tex]
[tex]=\frac{92700}{5150}\\\\=18[/tex]
Thus, the number of hours monorail run each day is 18.
What is the inverse of the function g(x)=-3(x+6)? g^-1(x)=
Answer:
[tex]g^{-1}(x)=-6-\frac{x}{3} =-\frac{x}{3} -6[/tex]
Step-by-step explanation:
First assign a letter "y" to g(x) and get rid of parenthesis on the right:
[tex]g(x)=-3\,(x+6)\\y=-3x-18[/tex]
Now, solve for "x":
[tex]3x=-18-y\\x=\frac{-18-y}{3}\\x=-6-\frac{y}{3}[/tex]
now replace y with x, and call x : [tex]g^{-1}(x)[/tex]
[tex]x=-6-\frac{y}{3} \\g^{-1}(x)=-6-\frac{x}{3}[/tex]
Answer:
-6 - [tex]\frac{x}{3}[/tex]
Step-by-step explanation:
During a catered lunch =, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?
Answer:
30 gallons of tea
Step-by-step explanation:
We are looking at the average of cups of tea per minute but we are given the time frame of lunch in hours, so first, we have to convert the hours to minutes:
There are 60 minutes in 1 hour and lunch is 2 hours long. So, multiply 60 by 2 to get 120 minutes total.
Next, we have to find out the number of cups of tea poured during the lunch. We have been told already that an average of 4 cups of tea are poured a minute.
Therefore, multiply 4 by the total number of minutes for lunch. You will multiply 4 by 20 to get 480 cups of tea poured in total during the catered lunch.
Finally, we have to see how many gallons of tea the caterer should bring. We should know that there are 16 cups in one gallon.
That means we have to divide the total number of cups poured by 16. Divide 480 by 16 to get 30 gallons of tea that the caterer should bring.
What are the solutions to the quadratic equation below?
4X2 +28x + 49 = 5
Select the equivalent expression. (8^-5/2^-2)^-4 = ?
Choose 1 answer:
A. 1/8*2^2
B. 2^6/8^9
C. 8^20/2^8
Answer:
C. 8^20/2^8
Step-by-step explanation:
(8^5/2²)^4
8^20/2^8
*PLEASE ANSWER TY* What is the volume of a hemisphere-shaped coffee if the width of the coffee cup is about 16.51 centimeters? (Use 3.14)
Answer:
Option (1)
Step-by-step explanation:
By the property of the liquids,
"Liquids have a fixed volume but don't have the fixed shape. If we put a liquid in a bottle or a cup it will acquire the shape of a bottle or cup."
In our question, coffee when kept in a cup will take the shape of the cup which is a hemisphere.
Volume of a hemisphere = [tex]\frac{2}{3}\pi r^{3}[/tex]
Where 'r' = radius of the hemisphere
Radius of the cup = [tex]\frac{16.51}{2}[/tex] cm
Volume of the hemisphere = [tex]\frac{2}{3}\pi (\frac{16.51}{2} )^{3}[/tex]
= [tex]\frac{2}{3}\pi (8.255)^3[/tex]
= 1177.5778
≈ 1177.58 cm³
Therefore, Option (1) will be the answer.
You pull one card at random from a standard deck and you shuffle the remaining cards. Then you pull another card. Is the event independent or dependent?
Answer:
If an event is affected by previous events then it is a dependent event, while if an event is not affected by the previous event then it is an independent event.
Since we have replaced the card that we first drew from the deck, it wont affect the event of pulling a card second time.
So, we can say that it is an example of independent event.
Sandy's older sister was given $2,400 and was told to keep the balance of the money after sharing with her siblings. Give Sandy exactly $350. Write Sandy's portion
Answer:
Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]
Step-by-step explanation:
Sandy's older sister was given $2,400
She was told to keep the balance of the money after sharing with her siblings.
She gave Sandy exactly $350
The objective is to write Sandy's portion.
Sandy's portion will be the ratio of the amount given to Sandy divided by the total amount at her sister disposal.
Let Sandy's older sister be y,
So, y = 2400
Sandy's portion = [tex]\dfrac{350}{2400}[/tex]
Sandy's portion = [tex]\dfrac{35}{240}[/tex]
Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]
what is nine and forty-two hundredths
Answer:
9.42
Step-by-step explanation:
Breaking the phrase down:
'Nine' would be the number 9 in the ones place.
'And' represents the decimal in a number. ('.')
'Forty-Two Hundredths" is 0.42.
So, "nine and forty-two hundredths" would be 9.42.
Hope this helps.
A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground. t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground. t = 6; It takes the ball 6 seconds to reach the maximum height and 3 seconds to fall back to the ground. t = 6; It takes the ball 6 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Answer:
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Step-by-step explanation:
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
The time will be t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
What is Function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable the dependent variable.
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum.
We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground.
The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
To know more about Function follow
https://brainly.com/question/25638609
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Ms. Ayala had 152 pencils. She divided the numbers of pencils equally among 13 students. What is the greatest numberof pencils Ms.Ayala could have given each student
Answer:
11
Step-by-step explanation:
she divides the number of pencils equally
so the number of pencils per student is 152/13
which is 11.692...
but she can't give 0.69 of a pencil so she gives only the whole part 11
and she keeps 9 pencils
hey can someone help me out here because i dont know none of this
Answer:
x = 0
Step-by-step explanation:
In order for this to be a function there has to be an x and y pair. You cant have 2 different x values correlate to 1 y value. The only number not used on the table of value is 0
Therefore the value of x is 0
==================================================
Explanation:
The table shows the inputs of -5, -1, x, 1 and 3. Ignore the x for now. The numerical inputs are -5, -1, 1, 3
If we have any input repeat itself with a different paired y value, then we will not have a function.
So if x = -5, then we don't have a function. This is because x = -5 is already paired with y = 4 in the top row. We can't have the input x = -5 lead to y = 0 at the same time. Any input must lead to exactly one output only. So this rules out choice A as a possible answer.
Choice C and choice D are eliminated for similar reasons as well. This leaves choice B. We don't have x = 0 yet, so it is a valid possible input. We can pick any thing we want for x as long as its not already done so in the table.
Maggie drew lines of best fit for two scatter plots, as shown. Which statement best describes the placement of the lines Maggie drew?
Answer:
B. Only line B is a well-placed line of best fit.
Step-by-step explanation:
A good line of best fit is a line drawn to represent, as much as possible, all data points. As long as the data points are clustered along the line, and are not farther from each other, the line is a best fit for such data points.
Therefore, from the two lines drawn by Maggie, Line B seems to be the only well-placed line of best fit, as virtually all the data points are clustered along the line, compared to Line A. Line A only runs across 2 data points. The rest data points are scattered far apart from the line.
Therefore, the statement that best describes the placement of the line of best fit drawn by Maggie is: "B. Only line B is a well-placed line of best fit."
Answer:
Only line B
Step-by-step explanation:
Line A is too low on the graph to be best fit for the plot
A box contains 20 equal-sized balls, numbered 1 to 20. Two balls are drawn at random simultaneously. What is the probability that the numbers on the two balls will differ by more than 2
Answer:
P = 0,7947 or 79,47%
Step-by-step explanation:
We have 20 balls, the total possible outcomes drawn two balls simultaneously is:
C = m! /n! *( m - n )!
C = 20!/2! *( 20 - 2)!
C= 20*19*18!/ 2* 18!
C = 20*19/2
C = 190
Now the number of successful outcomes x ( those where balls differ by more than 2 is)
x = total numbers of outcomes - 20 ( outcomes differing in 1 ) - 19 (outcomes differing in 2 )
x = 190 - 39
x = 151
Then the probability of drawing tw balls with numbers differing n mr than two is
P = successful outcomes / total outcomes
P = 151/190
P = 0,7947 or 79,47%
Emma changed £500 into rand before going on holiday to South Africa.
The rate of exchange at the time was £1 = 10.4 rand.
Emma spent 4000 rand on holiday. When she got home, she changed her leftover rand into pounds.
The exchange rate was now £1 = 9.8 rand. How much money did she get back in pounds?
Answer:
I'm sorry but I can give exact numbers but I would like to help work it out so...
Step-by-step explanation:
So overall she had £500 to start with
And £1 is equal to 10.4 rand
So you would divide 100 by 10.4 and get the potential difference between the average of money which she has then because she spent 400 rand in holiday you would divide 400 by the amount of the potential difference which was given then change that back to pounds
Hope this helps
If this seems incorrect please comment and I will change my answer thanks:)
Find the approximate volume of this prism (Image down below)
Answer:
about 62m^3
Step-by-step explanation:
Can you help Jorge organize the results into a two-way frequency table? Please answer this ASAP
Answer:
The table is attached!
Step-by-step explanation:
6 students play both musical instrument and a sport3 students play neither a musical instrument nor a sport14 students in total play a sportGiven: There are 24 students in the class
The number of students that does not play a sport is 24 - 14 = 10
The number of students that does not play a musical instrument but play a sport = 14 - 6 = 8
The frequency table thus is attached below:
Candy is on sale for $0.75 each. You have a coupon for $0.25 off your total purchase. Write a function rule for the cost of n pieces of candy
Answer:
t = 0.75n - 0.25
t represents your total
Step-by-step explanation:
So lets start by writing our total variable.
t =
Now each candy is 0.75 so lets write that down too.
t = 0.75
Since we don't know how much candy we buy, lets multiply 0.75 by n.
t = 0.75n
Now we have a $0.25 coupon so now subtract the 0.25 from the cost.
t = 0.75n - 0.25
There you go.
Select the correct answer.
Solve – 93-(-103)
OA.
-13
11
OB.
Oc. 1917
D. 19 /
Answer:
1 1/7.
Step-by-step explanation:
-9 2/7 - (-10 3/7)
= -9 2/7 + 10 3/7
= - 9 + 10 - 2/7 + 3/7
= 1 + 1/7
= 1 1/7.
Answer:
[tex] \huge \boxed{ \bold{ \purple{1 \frac{1}{7} }}}[/tex]Option B is the correct option
Step-by-step explanation:
[tex] \mathsf{ - 9 \frac{2}{7} - ( - 10 \frac{3}{7}) }[/tex]
First thing we have to do is that convert the mixed number into improper fraction .
[tex] \blue{ \mathsf{how \: to \: convert \: \: the \: improper \: fraction \: to \: mixed \: number}}[/tex]
Follow the steps:
Multiply denominator by the whole number.Add the answer from step 1 to the numerator.Put step 2 answer over the denominatorNow, let's do it!
[tex] \mathsf{ - \frac{ 9 \times7 + 2 }{7} - ( - 10 \frac{3}{7} )}[/tex]
⇒[tex] \mathsf{ - \frac{65}{7} - ( - 10 \frac{3}{7} )}[/tex]
When there is a ( - ) in front of an expression in the
parentheses , change the sign of each term in the expression
⇒[tex] \mathsf{ - \frac{65}{7} + 10 \frac{3}{7} }[/tex]
Convert mixed number into improper fraction
⇒[tex] \mathsf{ - \frac{65}{7} + \frac{73}{7} }[/tex]
While performing the addition and subtraction of like fractions , you just have to add or subtract the numbers for respectively in which the denominator is retained same
⇒[tex] \mathsf{ \frac{ - 65 + 73}{7} }[/tex]
Calculate
⇒[tex] \mathsf{ \frac{8}{7} }[/tex]
Convert the improper fraction into mixed fraction.
( Since 8 is being divided by 7 , I am gonna use long division )
( See attached picture )
⇒[tex] \mathsf{1 \frac{1}{7} }[/tex]
Hope I helped!
Best regards!!
Please Help! Three times the quantity of a number increased by 7 is equal to the same number decreased by 15
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Multiple times the amount of a number expanded by 7 is equivalent to a similar number diminished by 15.
Let the number be 'x'.
The three times the number plus 7. Then the expression is given as,
⇒ 3x + 7
The number 'x' is decreased by 15. Then the expression is given as,
⇒ x - 15
Both expressions are equal to each other. Then we have
3x + 7 = x - 15
3x - x = - 15 - 7
2x = - 22
x = - 11
The equation is written as 3x + 7 = x - 15. And the solution of the equation will be negative 11.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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One week, Daniel earned $554.30 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $939.90?
Answer:
39 hours
Step-by-step explanation:
First, let's find the rate of money per hour:
$554.30 / 23 hour
= $24.1 / 1 hour
Daniel earns $24.10 every hour he works.
To find the hours that Daniel has to work to earn $939.90, divide it by 24.10:
$939.90 / 24.10
= 39
Now, we can check:
$24.10 * 39
= $939.90
Hope this helps! Please tell me if I was incorrect!
Solve for x: 2x+1= -3x+36
Answer:
x = 7
Step-by-step explanation:
2x + 1 = -3x + 36
2x + 3x + 1 = -3x + 3x +36
5x + 1 = 36
5x + 1 - 1 = 36 - 1
5x = 35
5x/5 = 35/5
x = 7
Answer:
first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7
Step-by-step explanation:
hope this helps
A 2-gallon bottle of fabric softener costs $30.24. What is the price per pint?
Answer:
$1.89
Step-by-step explanation:
1 gallon= 8 pints
2gallons= 16pints
$30.24÷ 16= $1.89
Answer:
3.43
12 pints
Step-by-step explanation:
2 gallons = 12 pints. 30.24 divided by 12 is 3.43
