Given:
[tex]A=\frac{276}{1+11e^{-0.35t}}[/tex]Where A is the number of deer expected in the herd after t years.
We will find the following:
(a) How many deer will be present after 3 years?
So, substitute t = 3 into the given equation:
[tex]A=\frac{276}{1+11e^{-.35*3}}\approx56.9152[/tex]Rounding to the nearest whole number
So, the answer will be A = 57
=========================================================
(b) How many years will it take for the herd to grow to 50 deer?
substitute A = 50 then solve for t
[tex]\begin{gathered} 50=\frac{276}{1+11e^{-.35t}} \\ 1+11e^{-.35t}=\frac{276}{50} \\ \\ 11e^{-.35t}=\frac{276}{50}-1=4.52 \\ e^{-.35t}=\frac{4.52}{11} \\ -0.35t=ln(\frac{4.52}{11}) \\ \\ t=\frac{ln(\frac{4.52}{11}_)}{-0.35}=2.54 \end{gathered}[/tex]Round your answer to the nearest whole number.
So, the answer will be t = 3
R'Find the composition of transformationsthat map APQR to APQ'R'.QT RRotate [?] degrees aboutthe origin and then translate(unit(s) [ ].90180
For a transformation like the one shown in the graph, note that the points have switched as follows;
[tex]P(x,y)\Rightarrow P^{\prime}(-y,x)[/tex]This is a 90 degree anticlockwise rotation about the origin.
That means point P would now be translated as follows;
[tex]\begin{gathered} P(1,1)\Rightarrow P^{\prime}(-1,1) \\ Q(2,1)\Rightarrow Q^{\prime}(-1,2) \\ R(2,3)\Rightarrow R^{\prime}(-3,2) \end{gathered}[/tex]After this rotation, the coordinates have now moved from their position one unit upwards. That now makes the final coordinates;
[tex]undefined[/tex]The actual time it takes to cook a ten pound turkey is a normally distributed. Suppose that a random sample of 19 ten pound turkeys is taken. Given that an average of 2.9 hours and a standard deviation of 0.24 hours were found for a sample of 19 turkeys, calculate a 90% confidence interval for the average cooking time of a ten pound turkey. (10 points)
19 ten pound tukeys
average of 2.9 hours
standar deviation 0.24
90% confidence
Interval with 90% confidence is 2.42961–3.37039
At a company meeting, there were 40 people in attendance. 70% of them were managers. How many managers were in the meeting?
Noah has a coupon for 30% off at his favorite clothing store he uses it to buy hitting and a pair of jeans Noah paid $28 for jeans after using the coupon what is the regular price of the jeans
$28 after 30% off
28 = regular price * (100 - 30)/100
28 = regular price * 70/100
28 = regular price *0.70
regular price = 28/0.70 = 40
Answer:
Regular price = $40
Determine which relation is a function.Question 1 options: {(–3, 2), (–1, 3), (–1, 2), (0, 4), (1, 1)} {(–3, 2), (–2, 3), (–1, 1), (0, 4), (0, 1)} {(–3, 3), (–2, 3), (–1, 1), (0, 4), (0, 1)} {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}
Answer
{(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}
Step-by-step explanation
The options have the form:
[tex]\lbrace(input_1,output_1),(input_2,output_2),...\rbrace[/tex]In a function, every input can be related to only one output.
In the case of the first option, the input -1 is related to two outputs, 3 and 2, then it is not a function.
In the case of the second and third options, the input 0 is related to two outputs, 4 and 1, then they are not a function.
Select the correct answer.If the zeros of a quadratic function are 3 and 8, what are the factors of the function?OA (X + 8) and (x-3)O B. (x-8) and (x+3)OC. (x+8) and (x+3)OD. (x-8) and (x-3)
The zero of x = 3 will be x - 3 = 0
The zero of x = 8 will be x - 8 = 0
Therefore, the quadratic equation will be
(x - 3) and (x - 8)
Select all the equations that share a solution with this system of equations. (Hint: try adding and subtracting the equations.) 5x + 4y = 24 2x – 7y = 26 7x – 3y = 50 7x + 3y = 50 3x - 3y = -2 36 x+ 11y = -2
Select all the equations that share a solution with this system of equations. (Hint: try adding and subtracting the equations.)
5x + 4y = 24
2x – 7y = 26
____
a) 7x – 3y = 50
b) 7x + 3y = 50
c) 3x - 3y = -2
d) 3 x+ 11y = -2
_____________________________
Try adding and subtracting the equations
5x + 4y = 24
+(2x – 7y = 26)
_______________
7x -3y= 50
5x + 4y = 24
-2x + 7y = -26
______________
3x + 11y = -2
Do you have any questions regarding the solution?
Type the correct answer in each box. Use numerals instead of words.Consider the quadratic equation x2 + 10x + 27 = 0.Completing the square leads to the equivalent equation (x +__ )^2 = __
Given:
[tex]x^2+10x+27=0[/tex]Required:
To complete the square that leads to the equivalent equation (x +__ )^2 = __.
Explanation:
Consider
[tex]\begin{gathered} x^2+10x+27=0 \\ \\ x^2+10x+25+2=0 \\ \\ x^2+10x+25=-2 \\ \\ x^2+5x+5x+25=-2 \\ \\ x(x+5)+5(x+5)=-2 \\ \\ (x+5)(x+5)=-2 \\ \\ (x+5)^2=-2 \end{gathered}[/tex]Final Answer:
[tex](x+5)^{2}=-2[/tex]use pie=3.14 to estimate the unknown measures for each circle.c=132 ind=r=A=I'll upload a picture
Problem N 25
we know that
C=132 in
Remember that
The formula to calculate the circumference is given by
[tex]C=pi*D[/tex]using pi=3.14
C=132 in
substitute given values in the formula
[tex]\begin{gathered} 132=3.14*D \\ solve\text{ for D} \\ D=\frac{132}{3.14} \\ D=42.04\text{ in} \end{gathered}[/tex]The diameter D=42.04 in ( with pi=22/7 the diameter is 42 in exact)
Find out the radius r
r=D/2=42.04/2=21.02 in -----> the radius is half the diameter
Find out the area of the circle
The area is given by the formula
[tex]A=pi*r^2[/tex]we have
r=21.02 in
pi=3.14
substitute
[tex]\begin{gathered} A=3.14*21.02^2 \\ A=1,387.38\text{ in}^2 \end{gathered}[/tex]therefore
the answer isd=42.04 inr=21.02 inA=1,387.38 in2Answer this question and show me how to check it
We write numbers that are very small or very large in standard form. Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form
Given that the length and thickness as
[tex]\begin{gathered} l=8\times10^4 \\ t=5\times10^{-6} \end{gathered}[/tex]The ordinary form of the wire is
[tex]\begin{gathered} l=8\times10^4m=8\times10000m=80000m \\ t=5\times10^{-6}m=5\times\frac{1}{1000000}m=0.000005m \end{gathered}[/tex]From the defination of standard form, taking the length, 8 is a number between 1.0 and 10.0 and 10⁴m is a power of 10.
Also, the width, 5 is a number between 1.0 and 10.0 and 10 ⁻⁶ is a power of 10.
Hence, the standard form of the length and thickness of the wire is
length = 8.0 x 10⁴m
thickness = 5.0 x 10 ⁻⁶m
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Write the equation for a parabola with a focus at (-6,0) and a directrix at x = -2.
x=
y² = -8(x - 4), which is the required equation of the parabola.
What are a parabola's focus and directrix ?All points in a plane that are equally spaced out from a given point and a given line make up a parabola.
The line is known as the directrix, and the point is known as the parabola's focus.
A parabola's axis of symmetry is perpendicular to the directrix, which does not touch the parabola.
The focus of the parabola is F(-6,0) and its directrix is the line x=−2 i.e., x+2=0
Let P(x,y) be any point in the plane of directrix and focus, and MP be the perpendicular distance from P to the directrix,then P lies on parabola if FP=MP
⇒(x+6)²+(y−0)² = ∣x+2∣÷1
⇒x² + 12x+36+y² = x² +4x +4
⇒y² + 8x = -32
⇒y² = - 8x - 32
⇒y² = -8(x - 4)
⇒ y² = -8(x - 4), which is the required equation of the parabola.
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(a) The perimeter of a rectangular parking lot is 340 m.If the width of the parking lot is 77 m, what is its length?Length of the parking lot: 0m(b) The area of a rectangular pool is 7410 m².If the length of the pool is 95 m, what is its width?Width of the pool: Im
Part a)
Perimeter = 340 = 2•77 + Length doubled
then
Length x 2 = 340 - 154 = 186
Length= 186/2 = 93
ANSWER IS Length of parking lot is= 93 meters
Part b)
Area = 7410 = Width x Length
. 7410 = Width x 95
. 7410/95 = Width
THEN Width of the pool IS
78 square meters
Which of the following is the solution to the compound inequality below?5 + x>3or6x +1 -29O A. x2 - 7or14X<-3O B. *)-2orx 5C. x22 or x<5OD. x 814or X-3O
we will need to solve the first inequality,
5+x>=-3 , we will subtract -5 from both sides and the solution is
x>=-2
for the second inequality
6x+1<-29, we will subtract 1 from bothe sides and get
x<-5
is your choice B
Elsie is moving to iowa city iowa, with her three-year-old daughter. The table shows the results of a family budget estimator for iowa City for Elsie and her daughter."If Elsie earns $45,000 per year at her new job, can she stay on budget in lowa City? A. Yes, because she can easily afford $4020 per month.B. Yes, because she will not actually need all the items that the family budget estimator includes. C. No, because she will only make $3750 per month before taxes are taken out. D.No, because she will not be able to find housing as low as $853 per month?
In order to determine what is the correct statement, calculate the amount of money Elsie can spend per month, based on her earnings per year.
Divide 45,000 by 12:
45,000/12 = 3,750
You can notice that the amount of money Elsie can spend per month is lower than the total expenses shown in the table.
Hence, the correct statement is:
C. No, because she will only make $3750 per month before taxes are taken out.
are natural numbers closed under theoperation of subtraction? why or why not?
Firstly, let us define natural numbers.
Natural numbers are simply positive intergers, that is integers that are greater than zero e.g 1,2,3,4...
Secondly, when is a set said to be closed under a particular operation?
A set is said to be closed under an operation if and only if the operation on any two elements of the set produces another element of the same set. for example when you perform an operation (like addition) on a set of number (like natural numbers) it must give you a number from that same set.
E.g
let's check whether natural numbers are closed under the operation of adddition.
taking two numbers 3 and 5.
[tex]3+5=8[/tex]since the operation gives us 8, which is a natural number, it means natural numbers are closed under the operation of addition.
Back to the main question, which is to check whether natural numbers are closed under the operation of subtraction.
taking two cases.
case 1; taking numbers 3 and 5
[tex]3-5=-2[/tex]case 2: taking numbers 7 and 2
[tex]7-2=5[/tex]From the two cases, case 2 gave us a natural number while case 1 does not give us a natural number.
This means that Natural numbers are not Closed under subtraction.
Because subtraction operation on natural numbers does not necessarily produce another natural number.
On a general note;
Natural numbers are closed under Addition and Multiplication operations
while They are not closed under subtraction and division operation
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certainday, 252 people entered the park, and the admission fees collected totaled 728 dollars. How many childrenand how many adults were admitted?Your answer isnumber of children equalsnumber of adults equalso
Answer: Number of children = 112, number of adult = 140
Let the number of children = x
Let the number of adult =
According to the question, 252 people entered the park
Mathematically, the number of adult and children that entered the park sum up to 252
x + y = 252 ------- equation 1
$1.5 is charged for children for the admission fee into the park
$4 is charged for adult for the admission fee into the park
A totaled of $728 was realized from both children and adult that were admitted into the park
This implies that the total amount realized is equal to the number of children and adults inside the park per amount charged respectively
1.5* x + 4 * y = 728
1.5x + 4y = 728 -------- equation 2
Equation 1 and 2 can be solve simultaneously using substitution method
x + y = 252 ----- 1
1.5x + 4y = 728 ------ 2
Make x the subject of the formula in equation 1
x + y = 252
x = 252 - y ----- equation 3
Substitute equation 3 into equation 2
1.5(252 - y ) + 4y = 728
Open the parenthesis
1.5 x 252 - 1.5 x y + 4y = 728
378 - 1.5y + 4y = 728
Collect the like terms
-1.5y + 4y = 728 - 378
2.5y = 350
Divide both sides by 2.5
y = 350/2.5
y = 140
To find x, put the value of y into equation 1
x + y = 252
x = 252 - y
x = 252 - 140
x = 112
The number of children = 112
The number of adults = 140
You are purchasing a snack at the store for $3.50. The sales tax is 6%. How much is the sales tax?
price = $3.50
Sale tax = 6%
Multiply the price by the tax percentage in decimal for ( divided by 100)
3.50 x (6/100) = 3.50 x 0.06 = $0.21
Using the area formula A=LW (where A is the area L is the length and W is the width ) which of the following formulas would you use to solve for width ?
Answer:
W = A/L
Step-by-step explanation:
We are given the following formula:
A = LW
We want to solve for the width W. So
LW = A
L multiplies W, so it can go to the other side of the equality dividing. Then:
W = A/L
TELL ANSWER ASAP PLS WHAT IS 15.5 MULTIPLIED BY 3.75??????
Multiplied by 15.5 to 3.75 is 58.125.
To solve the:
15.5 is multiplied by 3.75
Now,
15.5 × 3.75
= 58.125
What is the process of Multiplication ?
Multiplication is the process of calculating the total of one number multiplied by another. There will be simple tests in addition, subtraction, multiplication and division. 2. uncountable noun. The multiplication of things of a particular kind is the process or fact of them increasing in number or amount.
Hence, Multiplied by 15.5 to 3.75 is 58.125.
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The side-by-side boxplots show consumer ratings of name brand and store brands of peanut butter.
name brands
al The median of name brands peanut butter is
grester thas the median of store
brands. (Hint* greater than or less than)
b) Approximately
% of name brands peanut butter data values are
greater than the median of the store brands peanut butter data values.
a. Median for name brands is greater than the median for store brands data values in the boxplots given.
b. Approximately 75% of the data values of name brands is greater than the median of the data values of store brands.
How to Find the Median of a Data in a Boxplot?A boxplot displays the distribution of a data such that the median is represented by the vertical line that divides the rectangular box.
25% of a data distribution is represented by the beginning of the edge of the box, while 50% is represented by the median, and 75% is represented by the point at the end of the edge of the box in the boxplot.
Therefore:
a. The median of name brands peanut butter is approximately 82-83.
The median of store brands is approximately less than 80.
Thus, we can conclude that, the median for name brands is greater than the median for store brands.
b. The median for store brands is approximately below 25% of the data values for name brands. Therefore, we would conclude that, approximately 75% of name brands data value are greater, compared to the median of the store brands data value.
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2. A car travels a distance of 250 miles, 700 miles and 325 miles at the rate of 50
miles/hour, 35 miles/hour and 13 miles/hour respectively. Find the average speed
of the car in miles/hr.
(A) 50
(B) 42.5
(C) 30
(D) 25.5
(E) 13
Answer:a
Step-by-step explanation:can i get brainiest
2) A seat has a speed of 15 mph in seicher travels downstream from Greentown to Glenevon in 2/5 of an hour. It then goes back upstream from Glenevon to Colombia, which is 2 miles downstream, in 3/5 of an hour. Find the rate of the current.
Rate of the current = 5 mph
Explanations:The time taken to travel downstream from Greentown to Glenevon = 2/5 hours
The time taken to travel upstream from Glenevon to Columbia = 3/5 hours
Rate = Distance /time
Let the distance traveled = y miles
Rate of the downstream travel:
Rate = y ÷ 2/5
Rate = y x 5/2
Rate = 5y / 2
Rate of the upstream travel
Since the travel upstream from Glenevon to Columbia is 2 meters downstream:
Distance = y - 2
Rate = (y-2) ÷ 3/5
Rate = (y-2) x 5/3
Rate = 5(y-2)/3
Let the current rate be represented by k
The rate of the downstream travel will be:
15 + k = 5y/2...........(1)
The rate of the upstream movement will be:
15 - k = 5(y-2)/3............(2)
Add equations (1) and (2)
(15 + k) + (15 - k) = [5y/3] + [5(y-2)/3]
[tex]\begin{gathered} 30\text{ = }\frac{5y}{2}+\text{ }\frac{5y-10}{3} \\ 30\text{ = }\frac{15y+10y-20}{6} \\ 30(6)\text{ = 15y + 10y - 20} \\ 180\text{ = 25y - 20} \\ 180\text{ + 20 = 25y} \\ 25y\text{ = 200} \\ y\text{ = 200/25} \\ y\text{ = 8} \end{gathered}[/tex]Substitute the value of y into equation (1)
[tex]\begin{gathered} 15\text{ + k = }\frac{5y}{2} \\ 15\text{ + k = }\frac{5(8)}{2} \\ 15\text{ + k = }\frac{40}{2} \\ 15\text{ + k = 20} \\ k\text{ = 20 - 15} \\ k\text{ = 5} \end{gathered}[/tex]The rate of the current = 5 mph
Round 36,236 to the nearest ten thousand
We have to round the number 36,236 to the nearest ten thousand (10,000).
Then, the number 36,236 is between 3 and 4 ten thousands. As 36,236 is over 35,000 we round it to 40,000.
Answer: 40,000
Factor the polynomial completely if possible. If the expression cannot be factored, enter the expression as is
Given the polynomial:
[tex]w^2+7w-18[/tex]Let's factor the polynomial.
To factor, let's use the AC method.
Find a pair of numbers whose product is -18 and whose sum is 7.
We have the pair:
9 and -2
We have the factors:
(w + 9)(w - 2)
Therefore, the factored form of the polynomial is:
[tex](w+9)(w-2)[/tex]ANSWER:
[tex](w+9)(w-2)[/tex]calculate the slope of a line passing through the given points (5,-2) and (5,-3)
Given the points (5,-2) and (5,-3), we can find the slope of the line that passes through them with the following formula:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \Rightarrow m=\frac{-3-(-2)}{5-5}=\frac{-1}{0} \end{gathered}[/tex]since we have that the slope is not defined, the line that passes through the points (5,-2) and (5,-3) is the vertical line x=5
Palge counted the number of items in other people's shopping carts while waiting in line at the grocery store. Palge counted the following items in seven carts: 13, 24, 17, 43, 38, 22, and 35. What is the median number of items in the shopping carts? items
ANSWER
24
EXPLANATION
The median of a data set is the middle number of the set - when they are arranged from least to greatest. If the amount of numbers in the data set is even, the median is the average of the two middle numbers.
In this case, there are 7 charts. To find the middle number we have to arrage the set from least to greatest: 13, 17, 22, 24, 35, 38, 43
The middle number is 24. This is the median.
Which of the following natural phenomena follows an elliptical motion?Question content area bottomPart 1Choose the correct answer below.A.A ball thrown from one person to anotherB.The path of marbles when rebounding from a curved surfaceC.Sound wavesD.The motion of the planets around the sun
The natural phenomena that follows an elliptical motion is:
D.
The motion of the planets around the sun
In each of the following problems, how do I graph the line with the given slope m and y-intercept b.
m=5/3,b=-4
The graph is shown the following slope intercept formula y = 5/3x -4.
What exactly is a slope?A line's slope can be used to determine how steep it is.The slope is calculated mathematically as "rise over run" (change in y divided by change in x).When a line's equation is expressed as y = mx + b, the slope-intercept representation of the equation is used.M displays the slope of the line.B is the value of b where the y-intercept is located (0, b).For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.So, the slope-intercept formula: y = mx + b
Where, = 5/3x and b = -4.Now, substitute the values in the formula and graph the slope-intercept on the graph as follows:
y = 5/3x -4(Refer to the graph attached below )
Therefore, the graph is shown the following slope intercept formula y = 5/3x -4.
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explain two ways to evulate 32(16-6)
There are two ways to evaluate the expression:
32(16 - 6)
WAY 1
Evaluate the expression in the bracket first, then multiply the result by the content outside the bracket.
32(10)
= 320
WAY 2
Remove the bracket straight, without simplifying the content inside the bracket by multiplying 32 by each element in the bracket.
32*16 - 32*6
= 512 - 192
= 320
And those are the two ways.
Find the equation for the line that passes through the points (-9, 8) and (-4,-4). Give youranswer in point-slope form. You do not need to simplify.
Given:
The points are (-9,8) and (-4,-4).
Required:
We need to find the line equation in point-slope form.
Explanation:
Consider the slope equation.
[tex]slope,\text{ m=}\frac{y_2-y_1}{x_2-x_1}[/tex][tex]Substitute\text{ }y_2=-4,y_1=8,x_2=-4,\text{ and }x_1=-9\text{ in the formula to find the slope of the equation.}[/tex][tex]Slope,\text{ m=}\frac{-4-8}{-4-(-9)}[/tex][tex]Slope,\text{ m=}\frac{-12}{-4+9}[/tex][tex]Slope,\text{ m=}\frac{-12}{5}[/tex]Consider the point (-9,8).
Consider the point-slope form of the equation.
[tex](y-y_1)=m(x-x_1)[/tex][tex]Substitute\text{ }m=-\frac{12}{5},y_1=8,\text{ and }x_1=-9\text{ in the equation.}[/tex][tex](y-8)=-\frac{12}{5}(x-(-(-9))[/tex][tex](y-8)=-\frac{12}{5}(x+9)[/tex]Final answer:
[tex](y-8)=-\frac{12}{5}(x+9)[/tex]