Someone please Help!! 30 Points
There are currently 1,250 pine trees on Judy's plot of land. The number of pine trees on her land is currently decreasing at a rate of 14% per year.
Which of the following graphs shows the number of pine trees, Np, on Judy's land x years from now?
Answers
Answer: we would need to see the graphs to address this question fully, but you should look for the graph that starts at x = 0, 1250 and decreases by 14% compared to the previous year
so for example, x = 1, the y value should be 1250 - (0.14)(1250)
Step-by-step explanation:
Related Questions
The number of bats in a colony is growing exponentially. After 2 years, there were 120 bats. After 5 years, there were 960 bats. If the colony continues to grow at the same rate, how many bats are expected to be in the colony after 8 years? do not include units in your answer.
Answers
7680 bats are expected to be in the colony after 8 years
What is Exponential Decay?A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.
The formula for exponential growth
[tex]y=ab^{t}[/tex]
Given,
After 2 years, there were 120 bats.
120=ab²...1
After 5 years, there were 960 bats.
960=ab⁵....2
Hence:
120/960 = ab²/ab⁵
1/8 = b²/b⁵
1/8 = 1/ b³
1/2³ =1/ b³
2³=b³
b=2
We solve for a
120 = ab²...... Equation 1
120 = a × 2²
120 = 4a
a = 120/4
a = 30
Now put a, b and t value in the formula
y = 30 × 2⁸
y = 7680 bats
Hence, 7680 bats are expected to be in the colony after 8 years
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What are the answers for these, please add workings so I can understand.
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AA M2/L15 zearn.org Juanita swam Zearn Convert to Solve actice for a competition, Juanita swam 0.73 kilometer in the pool each day for 2 weeks How many meters did Juanita swim in those 2 weeks? 1 km = 1,000 m
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10220 meters Juanita swim in those 2 weeks.
Given that,
Juanita practiced her swimming for a competition by swimming 0.73 kilometers in the pool every day for two weeks.
We have to find Juanita swam how many meters in those two weeks? 1 km = 1,000 m
First, we multiply the number of days swam by the amount of kilometers swan each day.
0.73×2 week
0.73×14days
10.22
The kilometers are then multiplied by the conversion rate to convert them to meters.
10.22 kilometers multiplied by a 1000 m to m conversion factor results in 10220 m.
Therefore, 10220 meters Juanita swim in those 2 weeks.
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a student is trying to solve the system of two equations given below:equation P: y + z = 6equation Q: 5y + 9z = 1Which of the following is a possible step used in eliminating the y-term?A: (y + z = 6) × 9B: (y + z = 6) × -5C: (5y + 9z = 1) × 9D: (5y + 9z = 1) × 5
Answers
we have the system
y + z = 6 ------> equation P
5y + 9z = 1 -----> equation Q
i will solve by elimination
step 1
Multiply the equation P by -5
so
(y + z = 6) *-5
-5y-5z=-30
adds equation Q
-5y-5z=-30
5y + 9z = 1
------------------
5z+9z=-30+1
therefore
the answer is the option BIdentify the local maximum and local minimum of the function shown in the graph below. You can assume that the maximum and minimum values lie on whole numbers
Answers
Given:
The graph of the function is given.
To find:
The local maximum and a local minimum of the function.
Explanation:
We know that,
The local minimum is a point within an interval at which the function has a minimum value.
So, the local minimum point is,
[tex](0,1)[/tex]The local maximum is a point within an interval at which the function has a maximum value.
So, the local maximum point is,
[tex](-3,4)[/tex]Final answer:
The local minimum point is,
[tex](0,1)[/tex]The local maximum point is,
[tex](-3,4)[/tex]In the following figures, solve for x. Complete parts (a) through (c)
Answers
Explanation:
Part A:
The image is given below as
Concept:
Using the linear pairs theorem, we will have that
[tex]\begin{gathered} z+80^0=180^0 \\ substract\text{ 80 from both sides} \\ z+80-80=180-80 \\ z=100^0 \end{gathered}[/tex]Also from the image of the question, we can deduce that
[tex]y=55^0(vertical\text{ angles are equal\rparen}[/tex]Hence,
To calculate the value of x, we will use the sum of angles in a triangle
The sum of angles in a triangle gives
[tex]180^0[/tex]By substtituting the values, we will have
[tex]\begin{gathered} x+y+z=180^0 \\ y=55^0 \\ z=100^0 \\ x+y+z=180^{0} \\ x+55+100=180^0 \\ x+155=180^0 \\ x=180-155 \\ x=25^0 \end{gathered}[/tex]Hence,
The final answer for x in part A is
[tex]x=25^0[/tex]Part B:
From the image in the question we can see that angle segmen makes up a right angle
Hence,
We will have the relation below
[tex]\begin{gathered} 7x+2x=90^0 \\ 9x=90^0 \\ \frac{9x}{9}=\frac{90}{9} \\ x=10^0 \end{gathered}[/tex]Hence,
The final answer for x in part B is
[tex]x=10^0[/tex]Number 9, Im not quite sure on how to do these
Answers
Solution:
Given:
[tex]f(x)=2(x-3)^2+1[/tex]The equation of a parabola in vertex form is given by:
[tex]y=a(x-h)^2+k[/tex]The coordinates of the vertex is given by (h,k).
Hence, comparing both equations,
[tex]\begin{gathered} f(x)=2(x-3)^2+1 \\ y=a(x-h)^2+k \\ a=2 \\ h=3 \\ k=1 \end{gathered}[/tex]Therefore, the coordinates of the vertex is;
[tex](h,k)=(3,1)[/tex]Transform y = f(x) by reflecting it across the x-axis. Label the newfunction h(x). Compare the coordinates of the corresponding pointsthat make up the two functions. Which coordinate changes, x ory?
Answers
y = f(x)
Reflection, change the sign of the function
y = - f(x)
f(x) -f(x)
1 -1
2 -2
3 -3
8 -8
20 -20
The x coordinate will change.
-2(t+-4)=10-2t how many solutions does this equation have.
Answers
the given expression is
-2 (t + (-4) ) = 10 -2t
= -2t + 8 = 10 - 2t
Benjamin believes that [tex] \frac{1}{2} [/tex]% is equivalent to 50%. is he correct? why or why not?
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First, we convert 1/2% to a decimal.
[tex]\frac{1}{2}\%=\frac{0.5}{100}=0.005[/tex]Similarly:
[tex]undefined[/tex]Write an equation for the line parallel to the given line that
contains C.
C(4,6); y= -4x+1
The equation of the parallel line is
Answers
The equation of the line parallel to the given line is y + 4x = 22
The given line is y= -4x+1
Slope of the line = -4
Slope of the parallel line= -4
Equation of the line parallel to the given line which passes through C(6,4)
y - 6 = - 4 ( x - 4 )
y - 6 = -4x + 16
y + 4x = 22
Hence the equation of the parallel line is y + 4x = 22
One that stretches on all sides and has no width is referred to in geometry as a line. A straight line is, to put it simply, a line without bends. An non-curved line that extends to infinity on both sides is said to be straight.
The general equation for a straight line is y = mx + c, where m stands for the line's slope and c for its y-intercept. The most frequently used straight line equation is one that has to do with geometry.
The equation of a straight line can be written in a number of different ways, such as point-slope form, slope-intercept form, general form, standard form, etc.
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please help me......
write in y=mx+b form
Answers
Answer:
What?
Step-by-step explanation:
D.
Graph the line.2) Through (2, -6) and (-1,9)
Answers
Attached above is the graph of the line passing through the points (2, -6) and (-1,9).
How to plot the graph:
Firstly, we need to locate the first point (2,-6)
That means a point 2 on the x axis and -6 on the y-axis.
Then, next locate the second point (-1,9)
That means a point -1 on the x axis and 9 on the y-axis.
Then lastly, join the two points.
12. Refer to a bag containing 13 red balls numbered 1-13 and 5 green balls numbered 14-18. Youchoose a ball at random.aa. What is the probability that you choose a red or even numbered ball? (3 points)b. What is the probability you choose a green ball or a ball numbered less than 5?(3 points)
Answers
Given
A bag contains 13 red balls numbered 1-13 and 5 green balls numbered 14-18.
And a ball is chosen at random.
To find:
a) The probability that you choose a ren or even numbered ball.
b) The the probability you choose a green ball or a ball numbered less than 5.
Explanation:
It is given that,
The total number of balls is (13+5)=18.
The number of red balls is 13 numbered from 1-13.
The number of green balls is 5 numbered from 14-18.
i) Then, the probability of getting a a red or even numbered ball is,
[tex]\begin{gathered} P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)-P\left(A\cap B\right) \\ =\frac{n\left(A\right)}{n\left(S\right)}+\frac{n\left(B\right)}{n\left(S\right)}-\frac{n\left(A\cap B\right)}{n\left(S\right)} \end{gathered}[/tex]Here,
[tex]\begin{gathered} n\left(A\right)=n\left(red\text{ balls}\right) \\ =13 \\ n\left(B\right)=n\left(even\text{ numbered balls}\right) \\ =9 \\ n\left(A\cap B\right)=n\left(red\text{ balls and even numbered balls}\right) \\ =6 \\ n\left(S\right)=n\left(Total\text{ number of balls}\right) \\ =18 \end{gathered}[/tex]That implies,
[tex]\begin{gathered} P\left(A\cup B\right)=\frac{13}{18}+\frac{9}{18}-\frac{6}{18} \\ =\frac{16}{18} \\ =\frac{8}{9} \\ =0.89 \end{gathered}[/tex]Hence, the probability of getting a red or even numbered ball is 0.89.
ii) Also,
The probability of getting a green ball or a ball numbered less than 5 is,
[tex]\begin{gathered} P\left(C\cup D\right?=P\left(C\right)+P\left(D\right)-P\left(C\cap D\right) \\ =\frac{n\left(C\right)}{n\left(S\right)}+\frac{n\left(D\right)}{n\left(S\right)}-\frac{n\left(C\cap D\right)}{n\left(S\right)} \end{gathered}[/tex]Here,
[tex]\begin{gathered} n\left(C\right)=n\left(green\text{ balls}\right) \\ =5 \\ n\left(D\right)=n\left(balls\text{ numbered less than 5}\right) \\ =4 \\ n\left(C\cap D\right)=n\left(a\text{ }green\text{ }ball\text{ }or\text{ }a\text{ }ball\text{ }numbered\text{ }less\text{ }than\text{ }5\right) \\ =0 \end{gathered}[/tex]Then,
[tex]\begin{gathered} P\left(C\cup D\right)=\frac{5}{18}+\frac{4}{18}-0 \\ =\frac{9}{18} \\ =\frac{1}{9} \\ =0.11 \end{gathered}[/tex]Hence, the probabilty of getting a green ball or a ball numbered less than 5 is 0.11.
I neeeeeeeeeeeeeeeeeedddddd helpppp!
Question: A shipment of 288 reams of paper was delivered. Each of the 30 classrooms received an equal share of the paper. Any extra reams of paper were stored After the paper was distributed to the classrooms, how many reams of paper were stored?
Answers
Answer:
18
Step-by-step explanation:
288/30=9 288-270= 18 9×30=270
Find the range and standard deviation of the set of data.4, 7, 4, 7, 7, 9, 11The range is(Simplify your answer.)
Answers
SOLUTI0N
Step 1 :
In this question, we are meant to find the range and standard deviation of the set of the data:
4, 7, 4, 7, 7, 9, 11
For the Range, we have that:
[tex]\begin{gathered} \text{Range = Highest number - Smallest number } \\ =\text{ 11 - 4} \\ =7 \end{gathered}[/tex]Step 2 :
For the Standard Deviation,
We have that :
[tex]\text{Standard Deviation =}\frac{\sqrt[]{\sum ^{\infty}_{n\mathop=0}(X_{i\text{ }}-X)^2}}{n}[/tex]So, we need to evaluate using the following process,
[tex]\begin{gathered} \text{Mean, X = }\frac{4\text{ + 7 + 4 + 7 +7 + 9 + 11}}{7} \\ =\frac{49}{7} \\ =\text{ 7} \end{gathered}[/tex]Next, we evaluate the following :
Variance =
[tex]\frac{(4-7)^2+(7-4)^2+(4-7)^2+(7-7)^2+(7-7)^2+(9-7)^2+(11-7)^2}{7}[/tex]=
[tex]\begin{gathered} \frac{9\text{ + 9 + 9 + 0 + 0 + 4 + 4}}{7} \\ =\text{ }\frac{35}{7} \\ =\text{ 5} \end{gathered}[/tex]Next, we have that :
Standard Deviation =
[tex]\sqrt[\square]{Variance}[/tex]=
[tex]\begin{gathered} \sqrt[\square]{5} \\ =\text{ 2. 236} \\ =\text{ 2. 2}4\text{ ( nearest hundredth )} \end{gathered}[/tex]CONCLUSION:
The Range = 7 and the Standard Deviation = 2. 24
[tex]g(x) = \frac{3}{x - 4} [/tex]find the domain, range and zeros/intercepts.The domain would be all real numbers not equal to 4. Right?How do I find the range and intercepts?
Answers
You are right about the domain
it is all real values of x except 4
So about the range we must make x subject of the formular so we know the values of y in which g(x) is defined
[tex]undefined[/tex]u
Mika used division to rewrite 5/40
as 0.125. Explain what she should do next to convert 0.125 to a percent.? HELPPP
Answers
Answer:
12.5%
Step-by-step explanation:
So, Mika did do the division right. So we can get that out of the way. In order to convert to a percent, you just simply move the decimal point over two times. In this case, we have 0.125. We move it over twice to get 12.5. Now, we just plop the percentage next to it to get: 12.5%.
May I have Brainliest please? I am so close to getting my next ranking! I just need 2 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
12.5%
(can also be written as:)12[tex]\frac{1}{2}[/tex]%
Step-by-step explanation:
She should bring the decimal point over two places to the right.
To convert decimals to percents ALWAYS bring the decimal point two places to the right and and a percentage sign.
How much you learned about the inverse, converse, and contrapositive of a conditional (if-then) statement, and how this can be applied in real life
Answers
A conditional statement can be written as:
[tex]p\rightarrow q[/tex]An example of this in real life is:
[tex]\text{If it rains then the floor gets wet.}[/tex]In this case:
p = it rains
q = the floor gets wet
The converse of that conditional is:
[tex]\begin{gathered} q\rightarrow p \\ \text{If the floor gets wet then it rains.} \end{gathered}[/tex]Notice that the conditional being true doesn't mean necessarily that its converse is true. For example, every time it rains the floor gets wet can be true, but the floor could get wet for other reasons, so the converse would not be true.
Also, the inverse of that conditional is:
[tex]\begin{gathered} \neg p\rightarrow\neg q \\ \text{If it does not rain then the floor does not get wet.} \end{gathered}[/tex]As we see, the inverse of a true conditional statement is not necessarily true.
And the contrapositive of that conditional statement is:
[tex]\begin{gathered} \neg q\rightarrow\neg p \\ \text{If the floor does not get wet then it does not rain.} \end{gathered}[/tex]Now, the contrapositive of a true conditional statement is always true. Notice that if every time it rains the floor gets wet, the only explanation for the floor not getting wet is that it does not rain.
f(x) = 2 + x^2, evaluate f(7)
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ok
[tex]\begin{gathered} f(x)=2+x^2 \\ f(7)=2+(7)^2 \\ f(7)\text{ = 2 + 49} \\ f(7)\text{ = 51} \end{gathered}[/tex]Result
f(7) = 51
What is the total surface area of the rectangular prism in square feet?39.25 ft?© 45 ft?B 78.5 ft?DNot here
Answers
We have that the total surface area of the rectangular prism is:
[tex]\begin{gathered} A_T=\text{ 2(4.5ft }\cdot\text{ 4ft) + 2(4.5 ft }\cdot\text{ 2ft)} \\ =2(18ft^2)+2(9ft^2) \\ =36ft^2+18ft^2 \\ =54ft^2 \end{gathered}[/tex]So the answer is 54 ft^2.
help meeeeeeeeeeeeeee pleaseeeeeee
Answers
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]
what is the slope of this line? y= -2x +6
Answers
Answer:
-2
Step-by-step explanation:
Slope is y = mx + b
Your equation is y = -2x + 6, simply pull the 'm' from the equation, that being -2.
Hope that helps.
25% of the students in a school are in sixth grade.A. How many sixth graders are there if the school has160 students?B. How many sixth graders are there if the school has28 students?C. If the school has x students, write an expression for the number of sixth graders in terms of x. D. How many students are in the school is 42 of them are sixth graders.
Answers
A.
Multiply the number of students (160) by the percentage that are in sixth grade (25%)
Express the percentage in decimal form = 25/100 = 0.25
160 x 0.25 = 40 students
B. Same process
28 x 0.25 = 7 students
C.
Multiply 0.25 by x
0.25x
D.
0.25x = 42
Solve for x
x =42/0.25
x= 168
If you want to go on a field trip to the Bronx Zoo with your science class in 3 months and the trip is $36.00, how much money do you have to save per month?
Answers
Answer: you would have to save 12 dollars per month
Step-by-step explanation:
36 divided by 3
The wavelength of a wave of frequency 100 Hz is 3.3m. Find it's speed
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Answer:
330
Step-by-step explanation:
100*3.3=330
Step-by-step explanation:
Given:
Wavelength of wave : 3.3m
Frequency of wave : 100Hz.
speed/velocity : ?
As we know
velocity = wavelength × Frequency
= 3.3 × 100
=330ms−1
So the speed of the wave is 330 ms·¹
Please help,quick! *I need an equation!*
Any 1 solved is appreciated please:)
2.If a number decreased by 20, the result is 13. What is the number?
3. This week, a construction company had expenses of $900, which was $50 more than the expenses from last week. What were last week's expenses?
4.Sara's mom split her gift card among her 4 children. If each child received $15, how much was on the gift card originally?
I'd appreciate it if you just solved 1, or all of them. Either way, thank you.
Answers
Answer: for 2 its 33, for 3 its 850, for number 4 its 60
Step-by-step explanation:
1: 20+13=33, so 33-20=13
2: 900-50=850
4: 15x4=60
Solve -4 1/5 ÷ 2 1/4.
one and 39 over 45
negative one and 39 over 45
negative eight and one twentieth
negative nine and 9 over 20
Answers
Answer:
Step-by-step explanation:
1. Tanisha drove 120 miles on 5 gallons of gas. How many miles can she drive t she has 12 gallons of gas?
Answers
According to Hooke's Law, the force needed to stretch a spring is proportional to the distance the spring is stretched. If a force of 180 newtons stretches a spring 6 cm, what is the direct variation equation for this spring? If a force of 420 newtons was applied, what is the distance the spring will be stretched? Select all answers that apply.
[mark all correct answers]
a) f=6x
b) f=30x
c) f=70x
d)x=14
e) x=31.5
f) x=2.6
Answers
The direct variation equation is: b) f = 30x.
The distance 420 newtons will stretch is: d) x = 14.
How to Write a Direct Variation Equation?The direct variation equation can be defined as y = kx, where k is the constant of proportionality, which is k = y/x, while x and y are the variables.
Let y represent the distance the spring is stretched, while x represents the force that is applied to the spring.
If a force (f) of 180 newtons is applied to stretch a distance of the spring (x) to 6 cm, therefore:
Constant of proportionality, k = 180/6
Constant of proportionality, k = 30
To write the direct variation equation, substitute k = 30 into f = kx:
f = 30x.
To find the distance (x) the spring will be stretched when 420 newtons was applied, substitute f = 420 into y = 30x:
420 = 30x
420/30 = 30x/30
14 = x
x = 14
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