The equation in option e) is not correct because it would not give correct height of the trees in this problem
How to write equation in slope-point form?Since the Magnolia trees are 3 feet tall and grow at an average of 3/4 foot per year.
If x is the number of years and y is the height. we can write:
y = 3/4(x) + 3
The slope-point equation of a line is given as:
y-y1 = m(x−x1)
y = 3/4(x) + 3 in slope-point form is:
y = 3/4(x) + 3
y-3 = 3/4(x-0)
This means option a) is correct
Yes, this equation is okay to use for the height of the trees in this problem
b) y - 6 = 3/4(x-4)
y - 6 = 3/4(x-4)
y - 6 = 3/4(x)- 3
y - 6 + 3 = 3/4(x)
y - 3 = 3/4(x)
This is correct
c) y - 4.5 = 3/4(x-2)
y - 4.5 = 3/4(x-2)
y - 4.5 = 3/4(x)- 1.5
y - 4.5 + 1.5 = 3/4(x)
y - 3 = 3/4(x)
This is correct
d) y - 12 = 3/4(x-12)
y - 12 = 3/4(x-12)
y - 12 = 3/4(x) - 9
y - 12 + 9 = 3/4(x)
y - 3 = 3/4(x)
This is correct
(e) y - 15= 3/4(x-15)
y - 15= 3/4(x-15)
y - 15= 3/4(x)-11.25
y - 15 + 11.25= 3/4(x)
y - 3.75 = 3/4(x)
This is not correct because it does not reflect the given information
Learn more about equation of a line on:
brainly.com/question/13763238
#SPJ1
HELPPP 1. Write an equation of the ellipse with foci (0,14) and co-vertices at (±4,0).
The equation of the ellipse with foci (0,14) and co-vertices at (±4,0) is [tex]x^2/16+y^2/36[/tex].
Define ellipse.An ellipse is a geometric shape that is defined as the set of points such that the sum of the distances between the points and two fixed points (foci) is constant. It is a type of conic section and is defined by the equation:
[tex](x^2/a^2) + (y^2/b^2) = 1[/tex]
Where a and b are the semi-major and semi-minor axes, respectively. An ellipse can also be defined as the shape that results from the intersection of a plane and a cone at an angle that is not perpendicular to the base of the cone.
[tex]c=14, b=4, a²=b²+c²== > a=2√9\\x^2/b^2 + y^2/a^2\\x^2/16+y^2/36[/tex]
To learn more about ellipse visit the link:
brainly.com/question/16904744
#SPJ1
Help ASAP plz need answer:)
In a rhombus MNLP, diagonals intersect each other at point O. If m∠MNL is 120° and the length of the side is 8 in, find m∠MNO, m∠MON, and NP. A (5pts) Find m∠MNO. Answer
In a rhombus, all sides are equal and the diagonals intersect each other at a 90 degree angle and bisect each other.
Diagonal of a rhombus bisects the angles of the rhombus at the vertex.
So as m∠MNL is 120°,
∠MNO = ∠LNO = 120/2 = 60°
The diagonals intersect each other at a 90 degree angle, therefore
m∠MON = 90°
Considering ΔMNO, right angled at O.
cos(∠MNO) = NO/ MN
cos(60) = NO/ 8
NO = 0.5×8 = 4
NP = NO + OP
NP = 2NO
NP = 2×4
NP = 8 in
To know more on rhombus
https://brainly.com/question/29085949
#SPJ4
PLEASE HELP! :/
The work of a student to solve the equation 4(3x − 4) = 8 + 4x + 8 is shown below:
Step 1. 4(3x − 4) = 8 + 4x + 8
Step 2. 7x − 8 = 16 + 4x
Step 3. 7x − 4x = 16 + 8
Step 4. 3x = 24
Step 5. x = 8
In which step did the student first make an error and what is the correct step?
A. Step 2, 12x − 16 = 16 + 4x
B. Step 2, 12x − 8 = 2(4 + 2x + 4)
C. Step 3, 7x − 4x = 16 − 8
D. Step 3, 7x + 4x = 16 + 8
Answer:
A
Step-by-step explanation:
4 times 3 and-4 is 12x and -16 not 7 and -8.
What is the value FG?
FG is not a defined term, so there is no way to determine its value.
FG is not a defined term, so there is no way to determine its value. This means that we cannot assign a numerical or other value to it. In order to determine the value of FG, we would first need to identify the context in which it is being used, as different contexts may assign different meanings to the same term. Once the context has been established, we can then look up the definition of FG in order to understand what it means in that particular context, and then assign a value to it accordingly. For example, if FG stands for "Frequency Generator" in a physics context, then it would likely have a numerical value associated with it.
Learn more about value here
https://brainly.com/question/1301718
#SPJ4
In a class of 48 students, 24 of them do Arts, 22 do Chemistry and 20 do Biology. All the students do at least one of the three subjects. 3 do all three subjects while 4 do Arts and Biology only, 3 do Arts and Chemistry only and 5 do Chemistry and Biology only. Find the number of numbers of students that do two subjects only exactly one subject at least two of the subjects Represent the information on a complete Venn diagram.
Number of students that do two subjects are 12.
Number of students that do only exactly one subject are;
For Art;
⇒ 14
For Chemistry;
⇒ 11
For Bio;
⇒ 8
Number of students that do at least two of the subjects are 15.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
In a class of 48 students, 24 of them do Arts, 22 do Chemistry and 20 do Biology.
All the students do at least one of the three subjects.
3 do all three subjects while 4 do Arts and Biology only, 3 do Arts and Chemistry only and 5 do Chemistry and Biology only.
Here,
Total students = 48
So, Number of students that do two subjects are = 4 + 3 + 5
= 12
And, Number of students that do only exactly one subject are;
For Art;
⇒ 24 - (3 + 4 + 3)
⇒ 14
For Chemistry;
⇒ 22 - (3 + 5 + 3)
⇒ 11
For Bio;
⇒ 20 - (3 + 4 + 5)
⇒ 8
Number of students that do at least two of the subjects are;
⇒ 3 + 3 + 4 + 5
⇒ 15
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Write your own statical question.Can someone give me one to right down please
can I explain what statistical mean
Please I need the 3 of them
The following operations are used to transform the quadratic equation y = x² into parabolas in standard form:
Case 1
Horizontal translation, vertical translation. Horizontal stretch.
Case 2
Horizontal translation, vertical translation. Reflection in the x-axis, vertical stretch.
Case 3
Horizontal translation, vertical translation. Horizontal stretch.
How to determine the magnitude of horizontal and vertical translations for quadratic equations
In this question we find three cases of parabolas in standard form, that is, quadratic equations of the form:
y - k = a · (x - h)²
Where:
a - Vertex constant(h, k) - Coordinates of the vertex.This parabola is translated both horizontally and vertically by using the following definitions:
Horizontal translation
x → x - a, where a > 0 for rightward translation.
Vertical translation
y → y - b, where b > 0 for upward translation.
Horizontal dilation
f(x) → f(k · x), where k is a non-negative real number.
Vertical dilation
f(x) → k · f(x), where k is a non-negative real number.
Reflection in the x-axis
f(x) → - f(x)
The procedure is summarize below:
Write the original function, that is, the equation of the parabola with vertex at origin.Apply dilation, translation and reflection definitions.Finally, we summarize the procedure for each case:
Case 1
g(x) = x²
g(x) = [(1 / 2) · x²]
g(x) + 4 = [(1 / 2) · (x - 2)]²
Horizontal shift: 2 units right, vertical shift: 4 units down. Horizontal stretch.
Case 2
f(x) = x²
f(x) = - (1 / 2) · x²
f(x) - 2 = - (1 / 2) · (x - 4)²
Horizontal shift: 4 units right, vertical shift: 2 units down. Reflection in the x-axis, vertical stretch.
Case 3
h(x) = x²
h(x) = 2 · x²
h(x) - 5 = [2 · (x + 2)]²
Horizontal shift: 2 units left, vertical shift: 5 units up. Horizontal stretch.
To learn more on quadratic equations: https://brainly.com/question/17177510
#SPJ1
Mhanifa please help! This is due tomorrow
Answer:
Use Pythagorean to confirm:
a² + b² = c²#43.1² + 1.6² = 12.173.4² = 11.5612.17 ≠ 11.56No#5√7² + (2√3)² = 7 + 12 = 19√19² = 1919 = 19Yes#636² + 15² = 152139² = 15211521 = 1521Yessuppose you and three friends are each dealt 13 cards from a shuffled deck, and you observe that you were dealt a single ace; what is then the probably that your three friends also each have an ace
The probability of each of your three friends having an ace is 32%.
The probability of each of your three friends having an ace is calculated using the Binomial Probability Formula. The formula is P(x) = nCr * p^x * (1-p)^(n-x). Here, n = 13 (number of cards dealt to each person) , r = 1 (number of aces you want to calculate the probability of), p = 4/52 (probability of getting an ace from a deck of 52 cards) and x = 1 (number of aces each of your three friends have).
Therefore, the probability of each of your three friends having an ace is P(x) = 13C1 * (4/52)^1 * (48/52)^(13-1) = 0.32.
This means that the probability of each of your three friends having an ace is 32%.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
What is the circumference of the circle? Assume pi = 3.14
Answer:
5 x 2 x 3.14 = 31.4
Formula of circumference:
radius(half of your diameter or given radius) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x 2(just always there when finding circumference)
Answer:
Circumference : 31.4 cm
Step-by-step explanation:
Circumference = 2× 3.14 × 5 cm
= 10× 3.14 cm
= 31.4 cm
ILL MARK YOU BRAINLEST IF YOU AWNSER PLEASE!! look at the photo and what is the measure of x? help me please!!
The point A has coordinates (0,6)What point do we get when we reflect A across the x-axis and then across the y-axis?
(Choice A)
A
(Choice B)
B
(Choice C)
C
(Choice D)
D
(Choice E)
E
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!! I'LL GIVE BRAINLIEST!!!!!!!!
Answer:
The answer is C
Step-by-step explanation:
opposite of y-axis.
a. Complete the table to show the length of the field for each given width.
Width (feet) Length (feet) 0 50 100 150 200 250 300
b. Define the function (w) to represent the length of the field as
The length of the field for the missing width is 350 ft. and the function (w) to represent the length of the field is w = (l-50)
What is a function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that a table for showing the relation between length and width of a field;
Width (w) Length (l)
0 50
100 150
200 250
300 350
We see, that, width is 50 less than the length.
Therefore, the function (w) to represent the length of the field will be =
w = l-50
Hence, the length of the field for the missing width is 350 ft. and the function (w) to represent the length of the field is w = (l-50)
For more references on functions, click;
https://brainly.com/question/21145944
#SPJ1
what are the domain and range of the function f(x)=2^x+1
Answer: The domain is all values of x that make the expression defined. The range is the set of all valid y values
Step-by-step explanation:
Therefore , the solution of the given problem of function comes out to be Domain: (-∞, ∞) and Range: (0,∞).
What is function?Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.
Here,
Given : f(x)=[tex]2^{x}[/tex]+1
If a value has not been added, an exponential function's curve normally approaches a horizontal asymptote at y=0 or the x-axis. The curve changes if it has.
The asymptote is unaffected by this function's addition on the exponent because it does not apply to the entire function.
The values of its y-axis remain between 0 and. This is the set of y values, or the range.
However, depending on the leading coefficient, the range of exponentials can vary. If the value is negative, the graph turns inside-out and the range reaches -. It's also lacking in this.
The exponent's addition to 1 moves the function to the left without changing the range.
The x values in exponential functions are often unaffected and all are taken into account in the function. The domain stays the same even while it changes. Its range is (0,∞)
Range: (0,∞)
Therefore , the solution of the given problem of function comes out to be
Domain: (-∞, ∞) and Range: (0,∞).
To know more about function , visit
brainly.com/question/13461298
#SPJ1
Just one question I only need the answer (I will give brainly) pls do #4 and if you feel like being a nice person you could do 5 to
4/3 divided by 12= simplified and fraction form!
Answer:
[tex]{\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex] \frac{4}{3} \div 12 \\ = \frac{4}{3} \times \frac{1}{12} \\ = \frac{4}{3 \times 12} \\ = \frac{4}{36} \\ = \frac{1}{9 } \\ = 0.11[/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]
Answer:
1/9 is the answer
4/3 x 1/12 just multiply but the reciprocal
hope this helps
have a good day :)
Step-by-step explanation:
Ron's car uses 12 L of gasoline per 100 km of highway driving. Asma's car as 5/6 as much fuel. How much fuel does Asma's car use per 100 km of highway driving?
10L fuel does Asma's car use per 100 km of highway driving
In this question, we have to use the unitary method
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
What is a unitary in math?
a unitary state. (mathematics, of an algebra) That contains an identity element. (mathematics, linear algebra, mathematical analysis, of a matrix or operator) Whose inverse is equal to its adjoint.
So from the unitary method, we can solve it
12 L of gasoline per 100 km
so for 5/6
12 L * 5/6
= 10 L
Learn more about the unitary method here:
brainly.com/question/24587372
#SPJ4
5. Suppose you went on vacation but forgot your smart phone
charging cable. Your phone battery died after two full days
(48 hours) of use. This situation is modeled by the equation
f(h) = 48, where h is the hours of cell phone use and
f(h)is the percentage of battery life left.
What is the upper bound of the parameter h?
hrs
What is the lower bound of the parameter h? •
hrs
The upper and lower bounds of the parameter h is found to be 0 and 1 respectively.
What is upper and lower bound of a function?
A number U serves as an upper bound for a function f, meaning that for any x, f(x) ≤ U. A number L serves as a function's lower bound, ensuring that for all x, f(x) ≥ L.
Given,
[tex]f(h) = \frac{48-h}{48}[/tex]
where f(h) = Percentage of battery left
h = Hours of cell phone use
Lower Bound of parameter h,
h = 0 ( When percentage is 100%)
f(h) = [tex]\frac{48 - 0}{48}[/tex] = 1
Upper bound of parameter h,
h = 48 (When percentage is 0%)
f(h) = [tex]\frac{48-48}{48}[/tex] = 0
Therefore the upper bound of h is 0 and lower bound of h is 1.
To learn more about upper and lower bounds of function, follow the link.
https://brainly.com/question/16610860
#SPJ4
HELP DUE IN 15 MINS!
The opposite angles of a parallelogram are congruent.
True
False
Answer:
True
Step-by-step explanation:
A rectangle is a parallelogram with four right angles, opposite sides parallel, opposite sides congruent, opposite angles congruent, consecutive angles are supplementary, and the diagonals bisect each other.
Hope it is helpful....What is the circumference of a
circle with a radius of 2.09 in
Answer:
The circumference formula is C=3.14d
Step-by-step explanation:
To find the diameter with the radius you need to multiply 2.09 x 2.
Now you have 4.18, this is your diameter, you're now going to multiply 4.18 with pi, which is typically 3.14, if it's not that it's 22/7.
Your answer would be 13.12
Mike has $25 in his savings account. He earns $8 for every lawn he mows, and he plans to put it all in savings. Write and solve an inequality to find how many lawns would he have to mow to earn at least $65 1. Define the wariable: 2. Write the inequality and solve: 3. Answer the problem:
PLEASE HELP ILL BRAINLIEST YOU
Answer:
let's take AC as x
AB is half of AC making it ½x
½x+½x+x+x=120
3x=120
[tex] \frac{3x}{3} = \frac{120}{3} [/tex]
x =120÷3
x=40
therefore AC is 40 while AB is 20
Answer:
AB = 20 ft
AC = 40 ft
Step-by-step explanation:
Perimeter of a rectangle = 2(l+b)
Perimeter (given) = 120 ft.
AB = ½ of AC
AC = 2 AB
Let x be the length of AB.
Then, AC = 2x
Now,
2(2x+x) = 120
2×(3x) = 120
6x = 120
x = 120/6 = 20 ft.
2x = 2×20 = 40 ft.
AB = 20 ft.
AC = 40 ft
Solve the system by graphing
2x-3y=-6
7x-3y=9
Following is the graph of two given equations.
The mapping of functions of two variables onto a Cartesian coordinate system, which is made up of a horizontal x-axis, or abscissa, and a vertical y-axis, or ordinate, is done analytically through the use of graphs. The intersection of each axis, which is a real number line, at its zero point is known as the origin.
On solving the two equations,
2x-3y=-6 ....(1)
7x-3y=9 .....(2)
Firstly we will find common points by elimination -
The common points are - (3,4)
Then We can find all the values of equation (1)
2x-3y=-6
x 0 3 -3
y 2 4 0
7x-3y=9
x 0 3 10
y -3 4 20.33
The respective graph is attached below
To learn more about graphs from given link
https://brainly.com/question/19040584
#SPJ1
1. The ratio of peaches in a box is constant. The table below compares the number of peaches that are in the box.
boxes peaches
2 6
blank 9
5 blank
6 18
2. The ratio of strawberries in a box is
constant. the table below compares the number of strawberries that are in the boxes
boxes strawberries
2 blank
4 12
5 15
8 blank
please help
The table representing ratio of peaches in a box should be completed as follows;
Boxes Peaches
2 6
3 9
5 15
6 18
The table representing ratio of strawberries in a box should be completed as follows;
Boxes Strawberries
2 6
4 12
5 15
8 24
How to complete the tables?In order to have a proportional relationship and equivalent ratios that is constant, the variables x for boxes and y for peaches must have the same constant of proportionality. Next, we would determine the constant of proportionality (k) based on the given parameters:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 6/2 = 18/6
Constant of proportionality (k) = 3.
When y = 9 peaches, the value of x is given by;
x = y/k
x = 9/3
x = 3 boxes.
When x = 5 boxes, the value of y is given by;
y = kx
y = 3(5)
y = 15 peaches.
Question 2:Also, we would determine the constant of proportionality (k) based on the given parameters:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 12/4 = 15/5
Constant of proportionality (k) = 3.
When x = 2 boxes, the value of y is given by;
y = kx
y = 3(2)
y = 6 strawberries.
When x = 8 boxes, the value of y is given by;
y = kx
y = 3(8)
y = 24 strawberries.
Read more on proportionality here: brainly.com/question/12866878
#SPJ1
NO LINKS Consider the isosceles trapezoid.
What is the value of y?
Answer:
y = 9 x= -11
Step-by-step explanation:
opposite angles of a trapezoid are supplementary.
The two angles of the same base in an isosceles triangle are congruent.
-6x-16 = 50
-6x = 66
x= -11
The supplementary of 50 is 130
3x+16y+19 = 130
-33 +16y +19 = 130
16y = 144
y = 9
The sum of all 4 angles is 360 degrees
Jasmine has $26 to spend on binders and one pack of pens. The pack of pens costs $4. 75. Each binder costs $5. Write an inequality to determine the maximum number of binders she can buy, (Define your variable. )
Jasmine can buy a average of 4 binders because the cost of the binders, multiplied by the number of binders she wants to buy, plus the cost of the pens, must not exceed her total budget of $26.
Step 1: Define the variable. Let x represent the number of binders Jasmine can buy.
Step 2: Write the inequality. 5x + 4.75 ≤ 26
Step 3: Solve the inequality. 5x ≤ 21.25
Step 4: Isolate the variable. x ≤ 4.25
Step 5: The maximum number of binders Jasmine can buy is 4.
Let x represent the number of binders Jasmine can buy
5x + 4.75 ≤ 26
5x ≤ 21.25
x ≤ 4.25
Jasmine has a total of $26 to spend on binders and one pack of pens. The cost of the pens is $4.75, and each binder costs $5. To determine the maximum number of binders she can buy. The inequality we need to solve is 5x + 4.75 ≤ 26. We can solve this inequality by first multiplying both sides of the equation by 5, which gives us 5x ≤ 21.25. We can then isolate the variable by dividing both sides of the equation by 5, which gives us x ≤ 4.25. This means that the maximum number of binders Jasmine can buy is 4.
Learn more about average here
https://brainly.com/question/24057012
#SPJ4
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
-4,-2,2
Step-by-step explanation:
look where line reaches zero
A spinner with equal sections numbered from 1 to 5 is spun twice. Raul is finding the probability that both spins will result in an even number. Find his mistake and explain what he should have done instead.
(2/5) x (1/4) =(2/10)
please help im really just about to cry myself to sleep and call it a day bcs im off the edge rn and i have to deal with school at the same time T_T
Answer:
his mistake is that he didn't need to remove one even number on the spinner so we just need to take 2/5x1/5equals2/25
The area of different squares are shown. For each square, write an expression using a square root that can be used to estimate the length of one side.
Help me please! greatly appreciated if so!
Answer:
...
Step-by-step explanation:
since the area of a square is side² then we can just square root the area and find the side
first one to the left would be √16, which would equal 4, which in this case is correct
first one the right is √220 which is about 18.832
bottom left √65 which is about 8.062
bottom left √83 which is about 9.110