Traci planted a tree in her backyard.She made this graph to show the tree growth over 5 years. 100 POINTS IF YOU HELP!!!!
Answers
A. The slope of the function = 1.5.
a = 15; b = 3; c = 3; d = 1.5
B. y-intercept (b) = 7.5
C. The equation of the function is: y = 1.5x + 7.5.
The height in 10 years is approximately 17.5 feet.
How to Write the Equation of a Linear Function?The equation of a function can be expressed as y = mx + b, if we know the value of the slope, m, and the value of the y-intercept, b.
Part A:
Using the two points on the graph, we can find the slope of the function as shown below:
The two points are (3, 12) and (5, 15):
Slope of the function = (15 - 12)/(5 - 3)
= 3/2
Slope (m) = 1.5.
Thus, the values that represents each letters would be:
a = 15; b = 3; c = 3; d = 1.5
Part B: The y-intercept of the function
The y-intercept of the function can be defined as the initial tree height which is the point where the line intercepts the y-axis of the graph.
Substitute m = 1.5 and (x, y) = (3, 12) into y = mx + b to find the y-intercept (b) of the function:
12 = 1.5(3) + b
12 = 4.5 + b
12 - 4.5 = b
7.5 = b
b = 7.5
y-intercept (b) = 7.5
Part C: To write the equation of the function, substitute m = 1.5 and b = 7.5 into y = mx + b:
y = 1.5x + 7.5.
Therefore, the initiate tree height is 7.5 feet, and it increases at a rate of 1.5 feet per year.
To find the height in 10 years, substitute x = 10 into the equation of the function, y = 1.5x + 7.5:
y = 1.5(10) + 7.5
y = 10 + 7.5
y = 17.5 feet
Learn more about equation of a function on:
https://brainly.com/question/15602982
#SPJ1
Related Questions
when jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result. multiple choice question. large increase large reduction slight increase slight reduction
Answers
Jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result is slight reduction .slight reduction means small in quantity or extent. 2 of small importance; trifling. slim and delicate. lacking in strength or substance.
How many participants in Milgram's study obeyed all the way to the end?In his book Understanding Milgram's Work Today, Robert Burger pointed out that in the original experiment, 79 percent of subjects who persisted after the learner's initial screams at 150 volts persisted all the way to the end of the scale, at 450 volts.The experiment had only one variation in which 26 out of 40 subjects obeyed, and this variation is where the figure of 65% of people following orders applied. In certain iterations of the study, not a single participant heeded the experimenters' commands, while in other modifications, many fewer participants were willing to do so.To learn more about Milgram's study refer to:
https://brainly.com/question/11012826
#SPJ1
There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Answers
Answer:
Step-by-step explanation:
70+59+55+25+30+17=276
The probability that the person selected at random doesn't use any facility is 0.25
What is probability?The probability of an event can be mathematically said to be the number of required outcome divided by the number of possible outcomes.
From the question:
Total people in the sport centre=125Number of people that used all three facility=6Number of people that used only gym and pool=25-6=19Number of people that used only pool and track=39-6=24Number of people that used only gym and track=17-6=11Number of people that used only gym=59-(6+11+19)=26Number of people that used only pool=79-(6+19+24)=21Number of people that used only track=55-(6+11+24)=14Total number of people who used at least any of the three facilities=26+21+14+11+19+24+6=121
The number of persons that doesn't use any of the facility=125-121=4
Hence, the number of possible outcomes=4 and the probability that the person selected at random doesn't use any facility is 1/4 or 0.25
Learn more about probability here:https://brainly.com/question/251701
#SPJ1
A. On graph paper, draw a net that, when folded, will create this solid. B. Is there more than one possible net? Why or why not? C. Find the surface area and volume of this solid.
Answers
First of all, let's draw the net:
In which l= 3 units, h=2 units and w= 4 units.
The surface area will be:
SA= 2*h*w +2*l*w + 2*h*l
SA = 2*2*4 + 2*3*4 + 2*2*3
SA =16+24+12
SA= 52units²
The volume will be:
V=L*h*w
V= 3*2*4
V= 24 units³
Fill in the missing. How many solutions does the equation have? what does the simplified equation mean?
5.5x - 2.1 = 3 + 5.5x
5.5x - 2.1 - _____ x = 3 + 5.5x - _____ x
_____ = _____
Answers
The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.
What is the solution to the equation?The allocation of weights to the relevant variables that produce the calculation's equilibrium is referred to as a direct consequence.
Simplicity is the quality of making anything less complicated and more manageable in terms of both execution and comprehension.
The equation is given below.
5.5x - 2.1 = 3 + 5.5x
Subtract 5.5x on both sides, then simplify the equation.
5.5x - 5.5x - 2.1 = 3 + 5.5x - 5.5x
0x - 2.1 = 3
The equation 5.5x - 2.1 = 3 + 5.5x has no solution. Then the number of the solution is zero.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
In ∆ STU, the measure of < U=90°, UT=12, SU=35, and TS=37. What ratio reprecents the secant of < T?
Answers
By definition, a Right triangle is a triangle that has an angle whose measure is 90 degrees (which is also called "Right angle").
You can identify that the triangle STU is a Right triangle, because:
[tex]\angle U=90\degree[/tex]The following is one of the Trigonometric ratios. It's called "Secant":
[tex]\sec \alpha=\frac{hypotenuse}{adjacent}[/tex]In this case you can identify that:
[tex]\begin{gathered} \alpha=\angle T \\ hypotenuse=TS=37 \\ adjacent=UT=12 \end{gathered}[/tex]Then, substituting values, you get that the answer is:
[tex]\sec \angle T=\frac{37}{12}[/tex]Use point-slope form to write the equation of a line that passes through the point (19,-12) with slope -3
Answers
Answer:
Step-by-step explanation:
The formula is :
(y - y1) = m(x - x1)
the given values are x1 = 19, y1 = -12 and m = slope = -3
putting values
(y + 12)= -3(x-19)
y + 12 = -3x +57
y+ 3x - 35 = 0
This is the required equation.
Select all rational numbers.
O√75
0-√25
02. √7
100
√0.36
✓0.0144
√
0-√√
36
49
Answers
All the rational numbers are;
2. - √25
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
What is Rational number?
A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
All the numbers are,
1. √75
2. - √25
3. 2√7
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
Now,
1. √75 = 8.660250
Clearly, It cannot be written as the form of p / q.
So, It is not a rational number.
2. - √25 = - 5
It can be written as;
- √25 = - 5 / 1
So, It is a rational number.
3. 2√7
Since, √7 is an irrational number.
So, 2√7 is not a rational number.
4. 100
It can be written as;
100 / 1
So, It is a rational number.
5. √0.36 = 0.6
= 6 / 10
= 3 / 5
Thus, It is a rational number.
6. √0.0144 = 0.12
= 12 / 100
= 3 / 25
So, It is a rational number.
7. √36 = 6
= 6 / 1
So, It is a rational number.
8. √ 49 = 7
= 7 / 1
So, It is a rational number.
Therefore, All the rational numbers are;
2. - √25
4. 100
5. √0.36
6. √0.0144
7. √36
8. √ 49
Learn more about the rational numbers visit:
https://brainly.com/question/12088221
#SPJ1
on a test consisting of 250 questions, jassi answered 40% of the first 125 questions correctly. what percent of the other 125 questions does she need to answer correctly for her grade on the entire exam to be 60%
Answers
test of 250 questions
40% of the fist 125 are ok, this means that 125(0.4) = 50 questions of the first 125 are ok
If jassi needs 60% of the 250 ok, that is 250(0.6) = 150
If of the first half she already has 50 questions ok, and needs 150, she needs to have 100 questions our of the second 125
If she needs 100 out of 125, this percent is 100/125 = 0.8, this means 80%
Answer:
Jassi needs 80% of the second 125 questions to be ok
Charlie graphs the equation y = -1/2x + 2.
Select all statements about Charlie's graph that are true.
-The line does not pass through the origin.
-The graph is a straight line.
-The slope of the line is 1/2
-The line passes through the point (0, -2).
-The y-intercept of the line is 2.
Answers
The True statements are: the graph is a straight line and the line does not pass through the origin. The y-intercept of the line is 2.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
The equation is given as y = -1/2 x + 2
Then Formula of the linear equation ( in slope-intercept form ):
y = m x + b
m = -1/2, b = 2
0 = - 1/2 ( 0 )+ 2
0 ≠ 2 ( it does not pass through the origin )
- 2 ≠ 2
Therefore, the True statements are:
The graph is a straight line.
The line does not pass through the origin.
The y-intercept of the line is 2.
Learn more about linear equations;
https://brainly.com/question/10413253
#SPJ1
Trey's mom agreed to buy him a playstation card for $20, but it would come out of his chore money. He already has $7 in his wallet and will earn 15 for his chores. How much will he have left after paying his debt?
Answers
Answer:
2$
Step-by-step explanation:
Answer:
$2
Step-by-step explanation:
trey's mom bought him a card for $20, if he already has $7 & will get $15 for his chores, add them together & thats $22. Once he pays off the $20 he will have $2 left.
What percentage of this shape is shaded?
Answers
Answer:
You need to show the image
Step-by-step explanation:
Answer: 3.45
Step-by-step explanation:
Thelma is a real estate agent negotiating the sale of a property with a listed price of $180,000. The buyer and seller of the property have agreed to a sale price that is 15% lower than the listed price.
If Thelma earns a 6% commission based on the negotiated sale price, how much will she earn for this sale?
Answers
When Thelma earns a 6% commission based on the negotiated sale price, the amount earned is $9180.
How to calculate the value?From the information, Thelma is a real estate agent negotiating the sale of a property with a listed price of $180,000. The buyer and seller of the property have agreed to a sale price that is 15% lower than the listed price.
The sales price will be:
= $180000 - (15% × $180000)
= $180000 - $27000
= $153000
Sine she earns 6% commission, this will be:
= Percentage × Sale price
= 6% × $153000
= 0.06 × $153000
= $9180
The commission is $9180.
Learn more about sales on:
brainly.com/question/25743891
#SPJ1
Caleb predicted that his favorite player would score 27 points in the firrst round of the NCAA tournament game. The player actually scored 23 points. What is the percent ERROR of Caleb's prediction? Round your answer to the nearest tenth of a percent.
Answers
Given that
Caleb predicted player would score 27 points.
But he scored 23 points.
so percentage error,
[tex]\begin{gathered} \text{percetage error=}\frac{27-23}{27}\times100 \\ =\frac{4}{27}\times100 \\ =14.81\text{ \%} \end{gathered}[/tex]PLEASE HELP! due soon
Answers
Answer:
Your answer is 103.2413793103448
Step-by-step explanation:
[tex]29.94[/tex] ÷ [tex]29[/tex] [tex]= 1.032413793103448[/tex]
[tex]1.032413793103448[/tex] × [tex]100 = 103.2413793103448[/tex]
86 is your answer
Solve The Equation, x= ?
Answers
Answer:
x=1Step-by-step explanation:
To solve the equation of 7/3x+1/3x=1+5/3x, isolate the term of x from one side of the equation.
First, you subtract by 5/3x from both sides.
[tex]\rightarrow \sf{\dfrac{7}{3}x+\dfrac{1}{3}x-\dfrac{5}{3}x=1+\dfrac{5}{3}x-\dfrac{5}{3}x}[/tex]
Solve.
[tex]\rightarrow \boxed{\sf{x=1}}[/tex]
Therefore, the solution is x=1, which is our answer.
I hope this helps, let me know if you have any questions.
Given m || n, find the value of x.
m
(8x+14) (9x-4)°
n
Answers
Answer:
X=11
Step-by-step explanation:
Answer:
x=18
Step-by-step explanation:
Because, [tex](8*18+14)=(9*18-4)[/tex] is true
a 2-member committe will be selected from 6 members of high school student council to attend a rally in washington, d.c. how many different 2-member committes are possible?
Answers
The order of the outcomes is irrelevant when calculating the total outcomes of an event using combinations. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.
15 different 2-member committees are possible.
What is a permutation vs combination?Subsets of a set can be created in two different ways: combination and permutation. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a particular order.The various ways in which items from a set may be chosen, usually without replacement, to form subsets, are called permutations and combinations. When the order of the selection is a factor, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination.The order of the outcomes is irrelevant when calculating the total outcomes of an event using combinations. We will use the formula nCr = n! / r! * (n - r)! to calculate combinations.C(6,2) = 6!/(4!2!) = 15.
15 different 2-member committees are possible.
To learn more about : Combinations.
Ref : https://brainly.com/question/3901018
#SPJ1
The Pythagorean Theorem
What is the distance between the points (1.7,-1) and (3.2,-1.8)?
Answers
Answer:
i hope it was good for you
The area of a rectangle is 60 cm². The length is 11 cm more than the width. Find the width
Answers
Answer:
5
Step-by-step explanation:
let width be x
and because length is 11 times more than the width, therefore length equals to 11x
hence the equation equals to
area = length x width
60 = 11x + x
60 = 12x
x = 60/12
therefore, the width of the rectangle is 5
the mean cost of a five pound bag of shrimp is 40 dollars with a variance of 36. if a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean would differ from the true mean by more than 2.5 dollars? round your answer to four decimal places.
Answers
The probability that the sample mean would differ from the true mean by more than $2.5 is 0.0062
Mean cost of the five pound shrimp bag = $40
Variance of the five pound shrimp bag = $36
The number of the shrimp bag = 43
The given mean value = $2.5
The z-score = $2.5
The probability of the sample mean differ by $2.5 from the true mean can be calculated by
P(z > 2.5) = 1 - P(z < 2.5)
From the z table , we can get the value of z < 2.5 which is 0.9938
P(z > 2.5) = 1 - 0.9938
P(z > 2.5) = 0.0062
Therefore , the probability of sample mean from the true mean by 2.5 is 0.0062
Learn more about the normal distribution in
https://brainly.com/question/14916937
#SPJ4
Yasmin is making some pancakes. Her recipe makes 6 pancakes.
Flour
Eggs
Milk
100g
2
250ml
Yasmin wants to make 15 pancakes.
Complete the table to show how much she will need of each ingredient.
Answers
a cup of all-purpose flour as an ingredient
White sugar, 2 tablespoons
Baking powder, two teaspoons
1 salt shaker, or as desired
a cup of milk
Vegetable oil, two tablespoons
1 beaten egg
How to make a pancakes?Directions
In a sizable basin, mix the flour, sugar, baking soda, and salt. Pour the milk, oil, and egg into the center well that has been created. Blend until uniform.
Over medium-high heat, preheat a griddle or frying pan with a little oil. For each pancake, pour or scoop about 1/4 cup of batter onto the griddle; cook for 1 to 2 minutes, or until bubbles form and the edges are dry. The opposite side should be browned after flipping. Use the leftover batter to repeat.
T learn more about pancakes refer to:
https://brainly.com/question/28761385
#SPJ13
what is the required flight visibility and distance from clouds if you are operating in class e airspace at 9,500 feet msl with a vfr-on-top clearance during daylight hours? a. 3 sm, 1,000 feet above, 500 feet below, and 2,000 feet horizontal. b. 5 sm, 500 feet above, 1,000 feet below, and 2,000 feet horizontal. c. 3 sm, 500 feet above, 1,000 feet below, and 2,000 feet horizontal.
Answers
It should be noted that if you are operating in class e airspace at 9,500 feet MSL with a VFR-on-top clearance during the day, the required flight visibility and distance from clouds are listed as "3 statute miles 1,000 above 500 below and 2,000 horizontal."
What is meant by flight visibility?The average forward horizontal distance of a flying aircraft from the cockpit at which prominent unlit objects can be seen and identified during the day and substantial lighted objects can be seen and identified during the night is known as flight visibility.
Visibility requirements exist the minimal visibility for flying.
According to Aviation Rules,
(a) According to aviation regulations, no person may operate an aircraft under visual flight rules (VFR) in restricted airspace when the ceiling is less than 1,000 feet unless flying vision is at least 2 miles.
b) No person shall work a helicopter under VFR at or below 1,200 feet above the ground or within the lateral boundaries of a specified Class B, C, D, or E airspace surface area of an aerodrome unless there exists clear visibility. exists at least -
Daily - 1/2 mile; orNight - 1 mile.To learn more about Flight Visibility refer to:
brainly.com/question/20354706
#SPJ4
the triangles below are similar. Find the value of x.
Answers
Answer:
x=9
Step-by-step explanation:
both sides are 14 and the other triangle is 7 so 14/7=2 and 18/2=9
30 POINTS!!!!! NEEDS HELP ASAP!!!!
The associative property of addition says you can change the______. of addends without affecting the sum.
A. grouping
B. operation
C. order
Answers
Answer:
C. order
Step-by-step explanation:
The associative property of addition allows you to change the of numbers without affecting the sum.
Answer: Grouping
Step-by-step explanation:
Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) (2 + 3) + 4 = 2 + (3 + 4) (2+3)+4=2+(3+4)left parenthesis, 2, plus, 3, right parenthesis, plus, 4, equals, 2, plus, left parenthesis, 3, plus, 4, right parenthesis.
Part A: Given the function g(x) = |x + 3|, describe the graph of the function, including the vertex, domain, and range.
explanation is ideal but not essential :)
Answers
Considering the absolute value function, it is found that:
The vertex is at (-3,0).The domain is all real values.The range is [0, ∞).Absolute value functionThe absolute value function of vertex at point (h,k) is defined according to the following rule:
f(x) = |x - h| + k.
In the context of this problem, the function is given as follows:
g(x) = |x + 3|.
Hence the coefficients are:
h = -3, k = 0.
Meaning that the coordinates of the vertex are given by:
(-3,0).
The domain is the input values of the function, and since the absolute value function has no restriction, it is composed by all real values.
The range of the function is the set containing the output values of the function, and since the function has no vertical shift, it is the non-negative numbers.
More can be learned about the absolute value function at https://brainly.com/question/3381225
#SPJ1
Determine the last possible degree of the polynomial function shown
Answers
We are asked to determine the degree of the polynomial given its graph. To do that we can count the number of bumps in the graph. We notice that it has 4 bumps:
This type of behavior is usual of polynomials of degree 5.
Consiter this prism Enter the volume of the rectangular prism, in cubic centimeters.
Answers
To find the volume of the given prism, first, we have to transform each mixed number into a fraction
[tex]\begin{gathered} 3\frac{3}{4}=\frac{3\cdot4+3}{4}=\frac{12+3}{4}=\frac{15}{4} \\ 3\frac{1}{3}=\frac{3\cdot3+1}{3}=\frac{9+1}{3}=\frac{10}{3} \\ 2\frac{1}{2}=\frac{2\cdot2+1}{2}=\frac{4+1}{2}=\frac{5}{2} \end{gathered}[/tex]Then, we multiply the dimensions to find the volume
[tex]V=\frac{15}{4}\times\frac{10}{3}\times\frac{5}{2}=\frac{750}{24}=\frac{375}{12}ft^3=\frac{125}{4}ft^3=31\frac{1}{4}ft^3[/tex]But, we know that 1 foot is equivalent to 30.48 centimeters, so let's transform it
[tex]31.25ft^3\cdot\frac{30.48\cdot30.48\cdot30.48(cm)^3}{1ft^3}\approx884,901\frac{23}{50}(cm)^3[/tex]In this case, I need to find the value of x. Whatever x is I need to substitute it into the expressions representing sides. I am informed that this is an isosceles triangle.
Remember all angles of a triangle equal 180 degrees, and all the other geometry stuff.
Please help :)
Answers
Answer:
x = ?
Step-by-step explanation:
Since there are two congruent angles, their respective sides are also congruent (an angle's respective side is the side opposing it, the side that it does not touch). Meaning, the 3x-7 side is congruent to the 2x side.
So just set them equal to each other to find x.
3x - 7 = 2x
x = ? (You can do this. Solve for x algebraically.)
The 4x-10 doesn't really matter here since you just need to find x.
Find an
an equation for the perpendicular bisector of the line segment whose
endpoints are (–4,3) and (−8,—3).
Answers
Answer:
y = (-2/3)x + 4
Step-by-step explanation:
Please help me find this
Answers
Center of circle = (-3, 6)
Diameter = 6
General equation of circle: x² + y² = r²
our answer will be in the form:
(x+a)² + (y+b)² = r²
Substitute center values and radius:
a = 3 (x was -3 but we don't trust it! It should be positive instead of negative)
b = -6 (same rules apply. Don't trust the value in the center. Its the opposite.)
r = 6/2 which is 3
answer: (x+3)² + (y-6)² = 3²