A community service group spent Planet summer planting trees in City park the table shows the total of number of trees after a certain number of weeks how many trees were already planted in the park before the community group started to plant?
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If we consider the number of weeks equals 0 as the moment where the group started to plant, we can notice that at this point there were already 16 trees, then the answer is 16 trees
Related Questions
what is the answer to -8+3v-5-4v
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We solve as follows:
[tex]-8+3v-5-4v=-13-v[/tex]order the numbers -7,7,1 and -1 from least to greatest.
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as we move towards the right,the value of the numbers on a number line increases. The numbers to the left of zero are negative while the numbers to the right of zero are positive.
Therefore, by ordering the numbers from least to greatest, it would be
- 7, - 1, 1, 7
write the expanded form of the expression : 7(2x + y)
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ANSWER
14x + 7y
EXPLANATION
We want to write the expanded form of the expression given:
7(2x + y)
To do this, we have to use the distribution property by using the number outside the bracket to multiply each of the terms in the bracket.
So, we have that:
7(2x + y) = (7 * 2x) + (7 * y)
= 14x + 7y
That is the answer.
(−2,1) is a solution to the following system of linear equations6−3=−152+=−3
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We have the following system of linear equations:
[tex]\begin{gathered} 6x-3y=-15 \\ 2x+y=-3 \end{gathered}[/tex]We want to know if the pair (x,y) = (-2,1) is a solution of the system above.
To see if this pair is a solution, we simply replace the values of x and y in the equations above and we verify if the equality holds.
1) Replacing in the first equation we see that:
6x - 3y = 6*(-2) - 3*(1) = -12 -3 = -15 ✓
The equality holds.
2) Replacing in the second equation we see that:
2x + y = 2*(-2) + 1 = -4 + 1 = -3 ✓
The equality holds.
We conclude that (-2,1) is a solution to the system of linear equations.
Answer: True
While playing golf, Maurice hits the golf ball and it travels 361.87 feet. Assume the golf ball travels the same distance everyTime they hit it. Estimate the total amount of distance the ball will travel after 15 hits.Round the distance traveled each time the golf ball was hit to the nearest ten feet before calculating
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Answer:
5400 feet
Explanation:
The distance the ball travels each time it was hit = 361.87 feet
First, this distance is rounded to the nearest ten feet.
[tex]361.87\approx360\:feet[/tex]Multiply 360 by 15 hits:
[tex]360\times15=5400\:feet[/tex]The total amount of distance the ball will travel after 15 hits is 5400 feet.
Find the distance between the two points in simplest radical form.(8,6) and (3,−6)
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Given
Two points (8,6) and (3,−6)
Find
distance between the two points
Explanation
Distance between the two points is given by
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]so , distance between (8,6) and (3,−6) is
[tex]\begin{gathered} d=\sqrt{(3-8)^2+(-6-6)^2} \\ d=\sqrt{25+144} \\ d=\sqrt{169} \\ d=13 \end{gathered}[/tex]Final Answer
Therefore , the distance between these two points is 13
A bag contains 6 green balls and 4 yellow balls. What is the probability that two balls picked randomly are both of the same color?
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Given:
The number of green balls is G = 6.
The numer of yellow balls is Y = 4.
Explanation:
Determine the total number of balls.
[tex]\begin{gathered} T=6+4 \\ =10 \end{gathered}[/tex]Determine the probability for both selected balls to be green.
[tex]\begin{gathered} P(G)=\frac{6}{10}\cdot\frac{5}{9} \\ =\frac{15}{45} \end{gathered}[/tex]Determine the probability for selected balls to be yellow.
[tex]\begin{gathered} P(Y)=\frac{4}{10}\cdot\frac{3}{9} \\ =\frac{6}{45} \end{gathered}[/tex]Determine the probability for both selected balls to be of same colour.
[tex]\begin{gathered} P=P(G)+P(Y) \\ =\frac{15}{45}+\frac{6}{45} \\ =\frac{21}{45} \\ =\frac{7}{15} \end{gathered}[/tex]Which of the following pairs of points define a line segment parallel to the x-axis?A. (4,3)(-4,3)B. (4,3)(4,-3)C. (-4,-3)(4,-3)D. (3,4)(-3,-4)
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EXPLANATION:
1.We must first locate the pairs of points.
-Points A:
Please see the photo below. Please draw the photo on a piece of paper or computer/laptop. Thank you.
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The Solution:
Given:
Required:
To construct a bisector of each of the given lines.
Steps:
1. Take your compass and put the pin on one end of the line, and then expand the compass to at least more than half the length of the line ( but not greater than the length of the line).
2. Make an arc on the upper side and the lower side of the middle of the line, and then repeat the process when you take the pin mouth of the compass to the other end of the given line.
3. Connect the pairs of intersections of the arcs to make a straight line.
The straight is the required bisector.
Below is an example with the first line:
D (x - 4) B . In the figure shown, what is the value of x? C •E 19 A F
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x = 23
Explanation:Given: triangle ABC and triangle DEF
we need to find the triangle congruency theorem in order to determine the value of x.
AB = DE
AC = DF
∠A = ∠D
the sides BC and EF respectively were not marked.
Since, we were not given the value of the angles but we know they are equal. And two sides of triangle ABC and the corresponding two sides of triangle DEF were given. It means BC is equal to EF.
The sides opposite ∠A = BC
The sides opposite ∠D = EF
BC = EF
x - 4 = 19
collect like terms:
x = 19 + 4
x = 23
x+2x+5=x+19please help
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To solve this equation
Step 1:
x + 2x + 5 = + 19
The average price of a new home in a neighborhood in thousands of dollars (f(x)) is related to the number of years since the neighborhood was built (x) in the function: Use the graph of the function to describe its domain.A. The domain is the average price of homes in a new neighborhood, which is represented by all real numbers from 0 to 100B. The domain is the average price of homes in a new neighborhood, which is represented by all real numbers from 0 to infinity C. The domain is the number of years since the neighborhood was built, which is represented by all real numbers from zero to infinityD. The domain is the number of years since the neighborhood was built, which is represented by all real numbers from 0 to 100l
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As given by the question
There are given that the graph of the function.
Now,
According to the domain concept, the domain is defined for the input valuewhich is given in the x-axis.
That means, all x-axis input value range is called domain.
Then,
From the given graph:
The domain is the number of years since the neighborhood was built, that represent the range of x-axis 0 ti infinity.
Hence, the correct option is C.
Multiply. -8. -9/3 . 2/-5Write your answer in simplest form.
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To multiply these numbers, the first step is to writhe "-8" as an improper fraction, to do so, divide it by 1
[tex](-\frac{8}{1})\cdot(-\frac{9}{3})\cdot(-\frac{2}{5})[/tex]Next is to solve the multiplication, to do so, first multiply the first two terms of the multiplication:
[tex](-\frac{8}{1})\cdot(-\frac{9}{3})[/tex]The multiplication is between two negative numbers, when you multiply two negative numbers, the minus signs cancel each other and turn into a positive value, this is called "double-negative"
[tex](-\frac{8}{1})\cdot(-\frac{9}{3})=\frac{8\cdot9}{1\cdot3}=\frac{72}{3}[/tex]Next multiply the result by the third fraction -2/5
This time you are multiplying a positive and a negative number, so the result of the calculation will be negative
[tex]\frac{72}{3}\cdot(-\frac{2}{5})=-\frac{72\cdot2}{3\cdot5}=-\frac{144}{15}[/tex]Final step is to simplify the result, both 144 and 15 are divisible by 3, so divide the numerator and denominator by 3 to simplify the result to the simplest form:
[tex]-\frac{144\div3}{15\div3}=-\frac{48}{5}[/tex]fine the value of x in(2x+5)(8x+5)
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We are given the value of two angles as functions of "x"
[tex]\begin{gathered} \text{angle 1 = 2x+5;} \\ \text{angle 2 = 8x+5} \end{gathered}[/tex]These are supplentary angles, that is, their sum is 180 degrees
[tex]\text{angle 1 + angle 2 =180}^{\circ}[/tex]Replacing the values for the angles
[tex](2x+5)+(8x+5)=180[/tex]Now we solve the equation, first by adding similar terms
[tex]10x+10=180[/tex]Now we substract 10 on both sides
[tex]10x=170[/tex]Now we divide by 10 on both sides
[tex]x=\frac{170}{10}=17[/tex]The value of x is 17
which of the following is equivalent to the logarithmic equation below? log4 64=3
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Lionfish are considered an invasive species, with an annual growth rate of 69%. A scientist estimates there are 9,000 lionfish in a certain bay after the first year.
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Given:
Lionfish are considered an invasive species, with an annual growth rate of 69%. A scientist estimates there are 9,000 lionfish in a certain bay after the first year.
The general equation of the growth is:
[tex]P(t)=P_0\cdot(1+r)^t[/tex]Given rate = r = 69% = 0.69
After 1 year, P = 9000
Substitute to find the initial number of Lionfish
So,
[tex]\begin{gathered} 9000=P_0\cdot(1+0.69)^1 \\ 9000=P_0\cdot1.69 \\ P_0=\frac{9000}{1.69}\approx5325 \end{gathered}[/tex]Part (A), we will write an explicit formula f(n) that represents the number of lionfish after n years
so, the formula will be:
[tex]f(n)=5325\cdot1.69^n[/tex]Part (B): we will find the number of lionfish after 6 years
so, substitute with n = 6 into the equation of part (a)
[tex]f(6)=5325\cdot1.69^6=124,073[/tex]So, after 6 years, the number of lionfish = 124,073
Part (C): The scientists remove 1400 fish per year after the first year
So, we the number of lionfish:
[tex]9000-1400=7600[/tex]Then after 2 years, the number of lionfish
[tex]7600\cdot1.69-1400[/tex]After 3 years:
[tex]\begin{gathered} (7600\cdot1.69-1400)\cdot1.69-1400 \\ =7600\cdot1.69^2-1400\cdot1.69-1400 \\ =7600\cdot1.69^2-1400\cdot(1+1.69) \end{gathered}[/tex]So, after (n) years:
[tex]7600\cdot1.69^{n-1}-1400\cdot(1+1.69)^{n-2}^{}[/tex]In simple layman’s English please explain the difference between uniform probability models and non-uniform probability models.
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In a uniform probability model, all events have the same chance of occurring. For a non-uniform probability model, all events do not have the same chance of occurring
Combine like terms to simplify the expression: 1.17 -0.07a + (-3.92a) 1.17 - 3.850 Stuck? Watch a video or use a hint.
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The given expression is
[tex]1.17-0.07a+(-3.92a)[/tex]Observe that -0.07a and -3.92a are like terms, let's add them.
[tex]\text{1}.17-3.99a[/tex]Hence, the final expression is 1.17 - 3.99a.Convert each equation to slope-intercept form. Then label the slope & y-intercept.
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C. The equation is
[tex]4x-6y=18[/tex]An equation is in slope-intercept form if it is in the form
[tex]y=mx+c[/tex]Expressing the given equation in slope-intercept
This gives
[tex]\begin{gathered} 4x-6y=18 \\ -6y=-4x+18 \end{gathered}[/tex]Divide through by -6
This gives
[tex]\begin{gathered} -\frac{6y}{-6}=-\frac{4x}{-6}+\frac{18}{-6} \\ y=\frac{2}{3}x-3 \end{gathered}[/tex]Therefore, the slope-intercept form of the given equation is
[tex]y=\frac{2}{3}x-3[/tex]
Where
slope = 2/3
y-intercept = -3
The graph is shifted 1 unit down and 4 units left
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To answer this question, we need to remember the rules of transformation of functions, these rules are shown below:
Using these rules, we have that the equation that represents the new graph is:
[tex]y=\sqrt[3]{x+4}-1[/tex]Write an equation for a line going through the point (-5, -10) that is parallel to theline 1/5x-1/6y = 7.
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Two lines are parallel if they have the same slope. In order to better visualize the slope of the line we will express it in the slope-intercept form, which is done below:
[tex]\begin{gathered} \frac{1}{5}x-\frac{1}{6}y\text{ = 7} \\ \frac{1}{5}x-7=\frac{1}{6}y \\ \frac{1}{6}y\text{ = }\frac{1}{5}x-7 \\ y\text{ = }\frac{6}{5}x\text{ - 42} \end{gathered}[/tex]We now know that the slope of the line is 6/5, because in this form the slope is always the number that is multiplying the "x" variable. So we need to find a line of the type:
[tex]h(x)\text{ = }\frac{6}{5}x+b[/tex]Therefore the only needed variable is "b", which we can find by applying the known point (-5, -10).
[tex]\begin{gathered} -10\text{ = }\frac{6}{5}\cdot(-5)\text{ + b} \\ -10=-6+b \\ b=-10+6 \\ b=-4 \end{gathered}[/tex]The expression of the line is then:
[tex]h(x)\text{ = }\frac{6}{5}x-4[/tex]Without dividing how can you decide whether the quotient of 7.16 ÷ 4 will be less than or greater than 2
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Answer:
Hope this helps : )
Step-by-step explanation:
We know that the quotient of 7.16 ÷ 4 can be multipled with 4 to get 7.16. So if we multiply 4 × 2, then the product is 8. Now we know that the quotient of 7.16 ÷ 4 is less than 2.
Check:
7.16 ÷ 4 = 1.79
1.79 < 2 ✓
A graph shows three linear relationships but different y y-intercepts the following slopes line1: 1 / 5 line 2: 3/5 line 3: 6 / 5 write an equation for each line type your answers in the boxes below
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Explanation
Step 1
we have 3 lines, the slopes and the Y-intercept( or a point of the line)
use :
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \text{where} \\ P1(x_1,y_1) \\ \text{and m is the slope} \end{gathered}[/tex]Step 2
Let
[tex]\begin{gathered} \text{slope}=\frac{1}{5} \\ P(0,5)\text{ gr}een \\ \text{replacing} \\ y-5=\frac{1}{5}(x-0) \\ y=\frac{1}{5}x+5\text{ Equation(1) ( gre}en) \end{gathered}[/tex]Step 3
[tex]\begin{gathered} \text{slope}=\frac{3}{5} \\ P(0,7) \\ \text{replacing} \\ y-y_1=m(x-x_1) \\ y-7=\frac{3}{5}(x-0) \\ y=\frac{3}{5}x+7\text{ function (2) Blue} \end{gathered}[/tex]Step 4
[tex]\begin{gathered} \text{slope}=\frac{6}{5} \\ P(0,3)\text{red} \\ \text{replacing} \\ y-y_1=m(x-x_1) \\ y-3=\frac{6}{5}(x-0) \\ y=\frac{6}{5}x+3\text{ Function (3) red} \end{gathered}[/tex]I hope this helps you
which expressions are equivalent to 5(–2k – 3) + 2k?a) (-5•3)-8kb) -15c) none of em
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A glider files 8 miles south from the airport and then 15 miles east. Then it files in a straight line back to the airport. What was the distance of the glider's last leg back to the airport ?
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The schematic diagram below represents the path followed by the glider,
The point A represents the location of the airport.
Observe that the path of the glider forms a right angled triangle ABC.
So the hypotenuse AC can be calculated by using Pythagoras Theorem as,
[tex]\begin{gathered} AC^2=AB^2+BC^2 \\ AC^2=(8)^2+(15)^2 \\ AC^2=64+225 \\ AC^2=289 \\ AC^2=17^2 \\ AC=17 \end{gathered}[/tex]Thus, the distance of the glider's last leg back to the airport is 17 miles.
So the second option is the correct choice.
What is the value of x? 830 R 620 5х-130 6x – 360
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Question:
Solution:
The entire circumference is equivalent to traveling 360 degrees. Therefore, we have the following equation:
[tex]83+62+(5x-13)+(6x-36)\text{ = 360}[/tex]this is equivalent to:
[tex]83+62-13-36+(5x+6x)\text{ = 360}[/tex]this is equivalent to:
[tex]96\text{ +11x = 360}[/tex]this is equivalent to:
[tex]11x\text{ = 360-96 = 297}[/tex]and solving for x, we obtain:
[tex]x\text{ = }\frac{264}{11}=\text{ 2}4[/tex]then, the correct answer is:
[tex]x\text{ = 2}4[/tex]Determine if the following equations are parallel, perpendicular, or neither. 5(x + 3) = 3y + 12 and 5x + 3y = 15
Answers
Solution
We have the following equation:
5(x+3)= 3y+12 (1)
Solving for y we got:
3y= -12+ 5(x+3)
3y = -12 + 5x+15
3y= 5x +3
y= 5/3 x +1
The slope for the first case is: m1= 5/3
5x + 3y = 15 (2)
Solving for y we got:
3y= 15-5x
y= 5 -5/3x
The slope is given by : m2= -5/3
Then m1*m2 is not equal to -1 (NOT perpendicular)
m1 is different from m2 (NOT parallel)
Then are not perpendicular or parallel
Find the sum of the first three terms of the geometric series represented by the formula an = (825)(52)(n - 1).
Answers
ANSWER:
2nd option: 78/25
STEP-BY-STEP EXPLANATION:
We have the following geometric series:
[tex]a_n=\left(\frac{8}{25}\right)\cdot\left(\frac{5}{2}\right)^{\left(n-1\right)}[/tex]We calculate the sum, replace n by 1,2,3, just like this:
[tex]\begin{gathered} s_n=\left(\frac{8}{25}\right)\cdot\left(\frac{5}{2}\right)^{\left(1-1\right)}+\left(\frac{8}{25}\right)\cdot\left(\frac{5}{2}\right)^{\left(2-1\right)}+\left(\frac{8}{25}\right)\cdot\left(\frac{5}{2}\right)^{\left(3-1\right)} \\ s_n=\left(\frac{8}{25}\right)\cdot\left(\frac{5}{2}\right)^0+\left(\frac{8}{25}\right)\cdot\left(\frac{5}{2}\right)^1+\left(\frac{8}{25}\right)\cdot\left(\frac{5}{2}\right)^2 \\ s_n=\frac{8}{25}+\frac{4}{5}+\frac{8}{4} \\ s_n=\frac{32+80+200}{100} \\ s_n=\frac{312}{100} \\ s_n=\frac{78}{25} \end{gathered}[/tex]The sum of the first 3 terms is 78/25
Lisa receives a net pay of $619.06 biweekly. She has $143withheld from her pay each pay period. What is her annual gross salary?a. $ 762.06b. $18,289.44c. $19,813.56d. $39,627.12
Answers
Answer:
c. $19,813.56
Explanation:
Given:
• Lisa receives a net pay of $619.06 biweekly.
,• $143 is withheld from her pay each pay period.
We are required to find her annual gross salary.
First, determine her gross salary for each pay period.
[tex]\begin{gathered} \text{Gross Salary}=\text{Net Pay+Deduction} \\ =619.06+143 \\ =\$762.06 \end{gathered}[/tex]Next, determine the number of payment periods.
[tex]\begin{gathered} \text{Lisa is paid biwe}ekly,\text{ that is every 2 weeks.} \\ The\text{ number of weeks in a year}=52 \\ \text{Therefore:} \\ \text{The number of payment periods}=\frac{52}{2}=26 \end{gathered}[/tex]Finally, multiply her gross salary per period by the number of periods to get her annual gross salary.
[tex]\begin{gathered} \text{Gross annual salary}=26\times762.06 \\ =\$$19,813.56$ \end{gathered}[/tex]Lisa's annual gross salary is $19,813.56.
Option C is correct.
A starship is orbiting lax, a large moon of the planet sylow II. The ships sensor array detects that the temperature on the surface of the moon is -12.3 f. What is the temperature in degrees Celsius
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The temperature in degrees celsius of the surface of the moon is -24.6111.
Fahrenheit and Celsius are directly proportionate to one another due to their relationship. When the temperature rises on the Celsius scale, it likewise rises on the Fahrenheit scale. Similar to how the Celsius scale, the Fahrenheit scale similarly drops in temperature when the Celsius scale does.
The ships sensor array detects that the temperature on the surface of the on is -12.3 F.
To convert the Fahrenheit to Celsius we will use the given formula.
[tex]C=\frac{5}{9}(F-32)[/tex]
Given F=-12.3
Substituting F in the equation, we get
[tex]C=\frac{5}{9}(-12.3-32)[/tex]
[tex]C=\frac{5}{9}(-44.3)[/tex]
[tex]C=\frac{-221.5}{9}[/tex]
[tex]C=-24.6111[/tex]
Therefore, the temperature -12.3 f to Celsius is -24.6111 C on the surface of the moon.
To learn more on Celsius here:
https://brainly.com/question/14767047#
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