The elk population in 2014 will be 19,700 ,A population is an identified grouping of objects with the purpose of analysis and data collection.
What is population?A population is an identified grouping of objects with the purpose of analysis and data collection. Examples include people and animals. It comprises of a related collection of species that live in a specific area and have the ability to interbreed.
The population increased by 12,700-12,000 = 700 between the two measures, however, it did so over a period of 1 year, from 2004 to 2003. Divide 700 elk by 1
The elk population in 2014 will be 19,700We must first establish the method
2014=700 should add 10 times then we will get the 2014th year population.
so the population of 2014th will 19700
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Can someone help me quickly please ill give brainlist
Ms. Zhou was sketching out a new wooden toy design. One of the designs had the instructions to sketch
points at the following locations and then draw lines to connect the points in order
A (2,2); B (4,-4); C (-3,-4); and D (-1,2).
(a) Use the graph below (or a snip of the graph) to plot and label the points. Then connect the points in
order: A to B, B to C, C to D, and then D back to A to create her shape. (You must include a drawing
for credit)
Answer:
I've included a visual representation
Step-by-step explanation:
i did the assigment yesterday
2/7×7/10 reduced to the smallest fraction
Answer:
1/5
Step-by-step explanation:
I multiplied 2 * 7, which is 14. Then, I multiplied 7 * 10 which equals 70. Then, I divided 14/70 by 14. The answer is 1/5.
Susie has a part-time job at the video store. She makes between $41.89 and $47.91 a day. Which is a reasonable amount of money that Susie makes for working 7 days?
The amount of money that Susie makes for 7 working days will be;
⇒ $314.3
What is mean by Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Susie has a part-time job at the video store and she makes between $41.89 and $47.91 a day.
Now,
The amount of money for a day = ($41.89 + $47.91) / 2
The amount of money for a day = $89.8 / 2
The amount of money for a day = $44.9
Thus, The amount of money that Susie makes for 7 working days is;
= 7 x $44.9
= $314.3
Hence,
The amount of money that Susie makes for 7 working days will be;
⇒ $314.3
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(1 point) the shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 8 years and a standard deviation of 0.3 years. what value of shelf life do 16% of the battery shelf lives fall below? round your answer to one decimal place.
8.27 is the normally distributed value of the shelf life which falls under 16% of the battery shelf life.
Because the shelf life of a battery manufactured by one big business is known to be regularly distributed, we would use the normal distribution formula, which is stated as
z = (x - µ) ÷ σ
Where
x = shelf life of a battery in years.
µ = mean shell life
σ = standard deviation
Based on the facts provided,
µ = 8 years
σ = 0.3 years
The z score corresponds to a p-value of 16% in the normal distribution table,
(16 ÷ 100 = 0.16) is - 0.9.
Therefore,
- 0.9 = (x - 9) ÷ 0.3
0.3 × (- 0.9) = x - 8
0.27 = x - 8
x = 0.27 + 8
x = 8.27
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Can someone help me i will give brainlest :) 12, 13, 14, only do those one's
Plotted Answers:
12.) See attached for my work
13.) See attached for my work
14.) See attached for my work
Simplified Answers:
12.) y > –24
13.) x ≥ –12
14.) x > –7
Hope that helps! Have an amazing rest of your day! Please consider giving me the Brainliest! :)
the slop of (10,8) and (1,9)
Answer:
slope = -1/9
Step-by-step explanation:
Hope this helps!!!
Solve the system of equations below for x, y, and z. (4x - 2y + 3z = 9 x - 2y = -3 2x + 3y = 1
The solutions are x = -1, y = 1 and z = 5
What is a Linear equation?In Mathematics, the equation which has highest degree 1 is known as a Linear equation. Linear equations are used to calculate unknown values. Here to represent unknown values we will use variables like x, y, z or a, b, c .. etc.
According to the number of variables in given equations, the given equations will be called a Linear equation in one variable or Linear equation in two variables and so on. To solve linear equations we will use Elimination method
Here, we have three linear equations with 3 and 2 variables
4x - 2y + 3z = 9 ----(1)
x - 2y = -3 -----(2)
2x + 3y = 1 -----(3)
Here, to find x, y and z we will use Elimination method
First of all solve (2) and (3) as given below
2 × (2) ⇒ 2x - 4y = - 6 -----(4)
1 × (3) ⇒ 2x + 3y = 1
Now subtract (3) from (4)
(4) - (3) ⇒ 2x - 4y -2x - 3y = - 6 - 1
⇒ - 7y = -7
⇒ y = 1
Substitute y = 1 in (2)
(2) ⇒ x - 2(1) = -3
x - 2 = -3
x = -1
Now substitute x = -1 and y = 1 in (1)
(1) ⇒ 4(-1) - 2(1) + 3z = 9
- 6 + 3z = 9
3z = 15
z = 5
From above calculations
The values of x = -1, y = 1 and z = 5
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O EQUATIONS AND INEQUALITIESSolving a word problem with two unknowns using a linear...
Given:
Total number of hamburgers and cheeseburgers sold = 439
There were 61 fewer cheeseburgers than hamburgers sold.
Let's determine the number of hamburgers sold.
Let C represent the number of cheeseburgers
Let H represent the number of hamburgers sold.
We have the system of equations:
• H + C = 439
,• C = H - 61
Now, let's solve the equations simultaneously using the substitution method.
Substitute (H - 61) for C in the first equation.
We have:
H + (H - 61) = 439
H + H - 61 = 439
2H - 61 = 439
Add 61 to both sides:
2H - 61 + 61 = 439 + 61
2H = 500
Divide both sides by 2:
[tex]\begin{gathered} \frac{2H}{2}=\frac{500}{2} \\ \\ H=250 \end{gathered}[/tex]Therefore, they sold 250 hamburgers on Friday.
ANSWER:
250 hamburgers
Find the radius of a cylinder whose height is 10 cm and the total surface area is 352 cm².
Answer: the radius of a cylinder is 4 cm
Step-by-step explanation:
[tex]S_{ts}=352\ cm\ \ \ \ H=10\ cm\ \ \ \ \ r=?[/tex]
The total surface area:
[tex]\displaystyle\\ S_{ts}= 2\pi r^2+2\pi rH\\\\S_{ts}=2\pi (r^2+rH)\\\\352=2\pi (r^2+10r)\\\\[/tex]
Divide both parts of the equation by 2π:
[tex]\displaystyle\\56=r^2+10r\\\\56-56=r^2+10r-56\\\\0=r^2+10r-56\\\\Thus,\\\\ r^2+10r-56=0\\\\D=(-10)^2-4(1)(-56)\\\\D=100+224\\\\D=324\\\\\sqrt{D}=\sqrt{324} \\\\\sqrt{D}=18\\\\ r=\frac{-10б18}{2(1)} \\\\r=-14\notin\ (r > 0)\\\\r=4\ cm[/tex]
Answer:
r ≈ 4 cm
Step-by-step explanation:
Total Surface Area of a cylinder
A = Base Area x 2 + Lateral Surface Area
A = 2(πr²) + 2πrh
where r = radius of base and h = height of cylinder
Solving for r we get
[tex]\displaystyle r = \dfrac{1}{2} \sqrt{h^2 + 2 \dfrac{A}{\pi} }-\dfrac{h}{2}\\\\[/tex]
Given h = 10 cm and A = 325 we get
[tex]\displaystyle r = \dfrac{1}{2} \sqrt{10^2 + 2 \dfrac{352}{\pi} }-\dfrac{10}{2}\\\\\\[/tex]
[tex]\sqrt{10^2 + 2 \dfrac{352}{\pi} } =\sqrt{100+\dfrac{704}{\pi }}\\\\= \sqrt{100 + 224.09}\\\\\\[/tex]
= [tex]\sqrt{324.09}[/tex]
= 18.0025
1/2 x 18.0025 ≈ 9
So r ≈ 9 - 10/2 = 9 -5 = 4
r ≈ 4 cm
Help help please please help help I need help 30 POINTS
question allistair throws a biased six-sided dice. the probability of getting a 6 with this dice is 0.4. the other numbers are equally probable. if he throws the dice 3 times, what is the probability that he gets 5, 3, and 2 in this order?
The probability that he gets 5, 3, and 2 in this order is 0.92, 0.52, and 0.32 respectively.
The possibility of rolling a 6 with these dice is 0.4, according to the question. The possibility of rolling a 1 through 5 on the dice is also the probability of not obtaining a 6.
a) Chance of receiving 5:
P(6) + Q(6) = 5
Q(6) = 5 - P(6)
Q(6) = 5 - 0.4
Q(6) = 4.6
The probability of obtaining 5 to 5 is 4.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 4.6
The first five numbers have an equally likely probability.
P(1) = 4.6 ÷ 5
P(1) = 0.92
b) Probability of getting 3:
P(6) + Q(6) = 3
Q(6) = 3 - P(6)
Q(6) = 3 - 0.4
Q(6) = 2.6
The probability of obtaining 3 to 5 is 2.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 2.6
The first five numbers have an equally likely probability.
P(1) = 2.6 ÷ 5
P(1) = 0.52
c) Probability of getting 2:
P(6) + Q(6) = 2
Q(6) = 2 - P(6)
Q(6) = 2 - 0.4
Q(6) = 1.6
The probability of obtaining 2 to 5 is 1.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 1.6
The first five numbers have an equally likely probability.
P(1) = 1.6 ÷ 5
P(1) = 0.32
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Mei Mei is younger than Xin. Their ages are consecutive integers. Find Mei Mei's age if the sum of Mei Mei's age and 5 times Xin's age is 143.
Mei Mei's age if the sum of Mei Mei's age and 5 times Xin's age is 143. is 23 years.
Let the ages be x and x+1 since they're consecutive numbers.
In this case the sum of Mei Mei's age and 5 times Xin's age is 143. This will be:
x + 5(x + 1) = 143
x + 5x + 5 = 143
Collect like terms
6x + 5 = 143
6x = 143 - 5
6x = 138
Divide
x = 138 / 6
x= 23
Mei Mei is 23 years.
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What’s the answer pls
If I'm not mistaken, the answer is 43.17
What is the equation of a line that passes through the point (5, −3) and is parallel to 6x+3y=−12?
Enter your answer in the box.
Answer: Slope= -2.000
x-intercept= -2
y-intercept= -4.000
Hope this helps !
A recent math test had an average score of 75, with a standard deviation of 10. What percentage of people scored an 85 or higher?16%34%50%, 13.5%
Answer:
16%.
Explanation:
In a recent math test:
• The average score = 75
,• Standard Deviation = 10
To find: The percentage of people who scored an 85 or higher, P(X>85).
First, find the z-score when X=85.
[tex]z-score=\frac{X-\mu}{\sigma}[/tex]Substitute the given values:
[tex]z=\frac{85-75}{10}=\frac{10}{10}=1[/tex]The people who scored an 85 or higher are 1 standard deviation away from the mean.
[tex]13.5\%+2.35\%+0.15\%=16\%[/tex]The percentage of people who scored an 85 or higher is 16%.
Suppose Juan places $6000 in an account that pays 12% interest compounded each year.Assume that no withdrawals are made from the account.Follow the instructions below. Do not do any rounding.(a) Find the amount in the account at the end of 1 year.(b) Find the amount in the account at the end of 2 years.su
1) Since this investment has been in an account with 12% compound interest per year, then we can write out the following:
a) Note that there was no withdrawal during this first year.
[tex]\begin{gathered} F=P(1+\frac{r}{n})^{nt} \\ F=6000(1+\frac{0.12}{1})^{1\cdot1} \\ F=6000(1.12)^1 \\ F=6720 \end{gathered}[/tex]b) To find out the amount of money over a course of this time 2 years, then we can write out the following:
[tex]\begin{gathered} F=P(1+\frac{r}{n})^{nt} \\ F=6000(1+\frac{0.12}{1})^{1\cdot2} \\ F=7526.4 \end{gathered}[/tex]In this case, it is also compounded per year. Just the period (t) is greater than the other one.
So, we can tell the following about the earnings of this investment:
[tex]a)\$6720,b)\$7526.40[/tex]400 x 600x 800x150x120
Answer:
3.456e+12
or
3,456,000,000,000
Step-by-step explanation:
400 x 600 = 240,000
240,000 x 800 = 192,000,000
192,000,000 x 150 = 28,800,000,000
28,800,000,000 x 120 = 3,456,000,000,000
hope this helps you :D
Find the zeros of f(x)=x(x+2)^3
List them in order of least to greatest, separated by commas. If the multiplicity is more than one, only list the zero once.
All the x-values that bring a polynomial, p(x), to zero are referred to as its zeros. They are intriguing to us for a variety of reasons, one of which is that they provide information on the graph's x-intercepts for the polynomial.
We will also observe that they have a direct connection to the polynomial's factors.
What are polynomial zeros with an example?
Real number k is referred to as the zero of a polynomial P(x) if P(k) = 0. As a result, the polynomial x2 - 3x + 2 has a zero at 1 and a zero at 2.
The equation p(x)=(x-1) (x-3)
Although it is a polynomial of third degree, 2, only has two different zeros. This is due to the zero x=3 having a connection to the factor.
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60 points help will give brainliest
Answer:
(g o f)(8)
Step-by-step explanation:
First we find f(8).
f(8) = 8 - 1 or 7.
We now find g(f(8)), which means g(7).
g(7) = 7^3 or 343
Determine whether there is enough information to conclude that the triangles are congruent. If so, select the theorem
you used.
Given: TR intersects NP, TU RU, NU - PU
Is ATUN ARUP?
N
No. There is not enough information to conclude that the triangles are congruent.
SAS
Yes. There is enough information to conclude that the triangles are congruent.
ASA
SSS
Previous
Answer:
SAS
Step-by-step explanation:
What is the slope of a line that is perpendicular to a line represented by the equation 6y=−7x+4?
Enter your answer, as a fraction in simplest form, in the box.
The slope of the line that is perpendicular 6y=−7x+4 is: 6/7.
What are the Slopes of Perpendicular Lines?If one line has a slope of a/b, the slope of the line that is perpendicular to the line would be the negative reciprocal of a/b, which is -b/a.
If the slopes of perpendicular lines are multiplied together, for example (a/b)(-b/a), we would always have a result of -1.
Rewrite the equation 6y = −7x + 4 in slope-intercept form as y = mx + b, in other to determine the value of m = slope.
6y/6 = −7x/6 + 4/6
y = −7/6x + 2/3
The slope of 6y = −7x + 4 is -7/6. 6/7 is the negative reciprocal of -7/6. Therefore, the slope of the perpendicular line is: 6/7.
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When the internet first launched, it was slow, clogged up phone lines and was most certainly not cheap. In fact, most Internet service providers (ISP) charged a flat rate access fee that included 20 hours a month of internet time. After twenty-hours of use, the ISP’s charged an additional per-hour fee. Suppose in 1995, Charter charged a flat rate of $39.95 for the first twenty hours of service and an additional per-hour charge of $5.99.a. How much would a Charter bill for 18 hours of internet used be in 1995? b. How much would a Charter bill for 28 hours of internet used be in 1995?
from the question, we were told in 1995, Charter charged a flat rate of
$39.95 for the first twenty hours.
and an additional per hour charge of $5.99
if,
for 20 hours = 39.95
therefore for 1 hour = 39.95/20
so for 18 hours = 39.95/20 X 18.95/20
so for 18 hours = 9
so,
to get the amount Charter bill for 18 hours in 1995 is,
39.95 x 18/20
= 39.95 x 0.9
= $35.955
so Charter bill for 18 hours of internet used in 1995 is $35.955
ould bill for 28 hours is
so, what Charter would
There are 4,000 books in the town's library. of these, 2600 are fiction. write a percent equation that you can use to find the percentage of books that are fiction. then solve your equation.
The percent equation is = 2600/ 4000 × 100/1
The percentage of books that are fiction is 65%
What is percentage?Percentage can be described as the ratio, quotient or number that is being expressed as a fraction of 100.
It is also described as the given part or amount in every hundred.
It is expressed as a fraction with 100 as the denominator of the fraction
It is represented with the symbol "%".
Given the information ;
Total number = 4000 books
Fiction books = 2600
The percentage is represented as;
= 2600/ 4000 × 100/1
Find the ratio
= 0. 65 × 100/1
Multiply through
= 65%
Hence, the value is 65%
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(9-7)2+4*3(2-4)2. By gtsggggy
Answer: it
Step-by-step explanation:
!!!
Find the derivatives of the following using increment method.1.y = 6x² +10x - 3
Given
[tex]y=6x²+10x-3[/tex]Find
derivatives using increment method.
Explanation
Given
[tex]y=6x²+10x-3[/tex]replace x and y by
[tex]\begin{gathered} x+\Delta x \\ y+\Delta y \end{gathered}[/tex]so ,
[tex]\begin{gathered} y+\Delta y-y=6(x+\Delta x)^2+10(x+\Delta x)-3-(6x^2+10x-3) \\ \Delta y=6x^2+6\Delta^2x^2+12\Delta x^2+10x+10\Delta x-3-6x^2-10x+3 \\ \Delta y=12\Delta x^2+6\Delta^2x^2+10\Delta x \\ \end{gathered}[/tex]now divide by
[tex]\Delta x[/tex]so ,
[tex]\begin{gathered} y^{\prime}=\frac{12\Delta x^2+10\Delta x+6\Delta^2x^2}{\Delta x} \\ \\ y^{\prime}=12x+10+6\Delta x \end{gathered}[/tex]now taking limit
[tex]\begin{gathered} \lim_{\Delta x\to0}y^{\prime}=\lim_{\Delta x\to0}(12x+10+6\Delta x) \\ \\ y^{\prime}=12x+10 \end{gathered}[/tex]Final Answer
Therefore , the derivative of the function using increment method is 12x + 10
Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left. The amount left depends on the number of d days that have passed. A. Write an equation for the situation.B. Find the a amount of money he began with.C. How much money does Marty have after 9 days?
Given:
Amount Marty spent per day = $3
Number of days = 14
Remaining amount = $68
Since the amount left depends on the number
Rectangles ABCD and DEFG are congruent
AB=7cm
AD=17cm
Work out the length of CE
The length of CE is 7cm
How to determine the lengthTo determine the length, we need to consider the properties of a rectangle, we have;
It is a quadrilateralOpposite sides are known to be parallel and congruent to each otherThe interior angles are equal to 90 degreesDiagonals bisect each other at right anglesThe two diagonals have the same lengthRectangle having side lengths of x and y has the perimeter as 2x+2y unitsA rectangle with side lengths x and y has its area as: xy sin 90 = xy square unitsA diagonal of a rectangle is said to be the diameter of its circumcircleFrom the information given, we have that;
AB = 7cm
AD = 17cm
Then, line CE = line AB
But line AB = 7cm
CE = 7cm
Hence, the length is 7cm
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Which system of linear inequalities is represented by the graph? O y=x-2 and x-2y 4 O y=x + 2 and x + 2y = 4 O y=x-2 and x + 2y = 4 O y =x-2 and x + 2y =-4
The two inequalities are (option c) y > x - 2 and2y + x < 4
Given,
Let's start by locating the red-hued area.
If the shadow is visible to be over the line, then the situation will be as follows:
y > ax + b
Hence the equation for the line is ax + b.
The slope is a, and the y-intercept is b.
The line in the graph intersects the y-axis at y = -2, which results in:
b = -2
Two points on the line are required to determine the slope; these points are (0, -2), and (2, 0)
We are aware of the slope for a line passing through the points (x1, y1) and (x2, y2) as follows:
a = (y2 - y1)/(x2 - x1) (x2 - x1)
The slope for this line will then be:
a = (0 - (-2))/(2 - 0) = 2/2 = 1
Then this line's equation is:
1x - 2
And here's the inequality:
y > x - 2.
The shaded area of the blue one is below the line, thus we will have:
y < ax + b
The y-intercept in this situation is y = 2.
This line crosses through the points (0, 2) and, as can be seen (4, 0)
The slope is then:
a = (0 - 2)/(4 - 0) (4 - 0) = -2/4 = -1/2
This inequality is then:
y < (-1/2)x + 2
If we rewrite this using the choices, we get the following:
y < (-1/2)x + 2
2y < -x + 2 ×2
2y + x < 4
The two inequalities are (option c) y > x - 2 and2y + x < 4
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Answer: C
Step-by-step explanation:
32+40+…+120=? Someone help PLEASE
Answer:
912
Step-by-step explanation:
the assumption is that this is an arithmetic progression
the nth term of an arithmetic progression is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
use this to find which term 120 is in the sequence
with a₁ = 32 and d = a₂ - a₁ = 40 - 32 = 8 , then
32 + 8(n - 1) = 120 ( subtract 32 from both sides )
8(n - 1) = 88 ( divide both sides by 8 )
n - 1 = 11 ( add 1 to both sides )
n = 12
given the first and last terms in the sequence then sum is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( first + last)
S₁₂ = [tex]\frac{12}{2}[/tex] (32 + 120) = 6 × 152 = 912
Let h(x) = x+3−−−−−−√ and k(x) = 2x + 7. Find the value h(k(3)).
The value of the given function h(k(3)) when h(x) =√ x+3 and k(x) = 2x +7 is equal to 4.
As given in the question,
Given functions are :
h(x) =√ x+3 and k(x) = 2x +7
To find the value of the composite function h(k(3)) :
First calculate for k(3) we get,
k(x) = 2x+ 7
Substitute x =3 in k(x) we get,
k(3) = 2(3) +7
⇒ k(3) = 13
Now, Substitute the value of k(3) in the composite function h(k(3)) we get,
h(k(3))
= h(13)
= √ 13 +3
=√16
= 4
Therefore, the value of the given function h(k(3)) when h(x) =√ x+3 and k(x) = 2x +7 is equal to 4.
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