1)
a) The equation Y=3/4x+3 can be used to represent the growth of the trees over time.
b) The y-intercept in this equation represents the starting height of the trees, which is 3 feet.
c) In 3 years, the height of the trees will be 5.25 feet according to the equation.
2)
No, the equation 3x - 4y = -12 cannot be used to represent the same information in question #1. This equation is not in slope-intercept form, which is necessary to represent a linear relationship between two variables.
a) The 3 and the 4 in this equation are coefficients of the variables x and y, respectively. They do not represent any specific value or quantity in the context of the problem.
b) It is not possible to determine the height of the tree in 24 years using this equation because it is not in the correct form.
c) To find the x-intercept, we can set y to 0 and solve for x. This gives us x = -3. The x-intercept in this equation represents the number of years at which the height of the tree is 0 feet. This does not have any meaning in the context of the problem.
(a) What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50
Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.
What is probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.To learn more about distribution refer to:
https://brainly.com/question/4079902
#SPJ4
Which expression is equivalent to 20x-8y?
Select the correct answer
2(10x+4y)
4(5x-8y)
4(5x-2y)
x(20-8y)
Answer:
4(5x-2y)
Step-by-step explanation:
You can only take out the 4 because 20 and 8 are divisible by 4. You also can't take out x because it's only next to the 20 in the equation.
Determine whether each number is prime or composite.
1. 41
2. 29
3. 87
4. 36
5. 57
6. 61
7. 71
8. 103
9. 39
10. 91
11. 47
12. 67
please!!!!Can somebody help me
1.)41 is prime
2.29 is prime
3.87 is composite
4.36 is composite
5.57 is composite
6.61 is prime
7.71 is prime
8.103 is prime
9.39 is composite
10. 91 is composite
√2x – 1- x = −8
How do I solve this equation?
The solution for the given equation would be [tex]x=8+\sqrt{15},\:x=8-\sqrt{15}[/tex].
What is an equation?
An equation is a statement that two expressions are equal to each other. It is a mathematical sentence that asserts the equality of two expressions. An equation can be written in the form of:
expression_1 = expression_2
The given equation is √2x – 1- x = −8.
[tex]2x=x^2-14x+49[/tex]
[tex]x=8+\sqrt{15},\:x=8-\sqrt{15}[/tex]
Hence, the solution for the given equation would be [tex]x=8+\sqrt{15},\:x=8-\sqrt{15}[/tex].
To learn more about the equation, visit:
https://brainly.com/question/22688504
#SPJ1
HELP ME WITH THIS - FIRST ONE TO ANSWER GETS MARKED BRAINLIEST
Angle A and Angle B are complementary. If Angle A measures 48°, what is the measure of Angle B?
Answer: 42
Step-by-step explanation:
How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing.
Answer:
well, you didnt give me any numbers or variables, so ill do it like this. if the container is the size of a pint, and there are 8 runners, and a pint equals 16 fluid ounces, in turn it should end as that each runner gets 2 fluid ounces of energy drink
Step-by-step explanation:
Q1) A car travels 145 miles in
3 hours and 38 minutes. How
fast did it travel?
38 minutes / 60 minutes = 0.63
The car traveled for 3.63 hours
Speed = distance/ time
Speed = 145 / 3.63 = 39.94 miles per hour
Round the answer as needed.
A recipe for 2 dozen cookies requires 3 cups of flour. The number of cookies baked varies directly with the amount of flour used.
Question:
How many cups of flour are needed to make 75 cookies?
A) 600
B) 8
C) 938
D) 3618
2 dozen = 24
24 cookies = 3 cups
24 x 2 = 48
48 cookies = 6 cups
24 x 3 = 72
72 cookies = 9
9 ~ 8
~
i think the anwser is b. 8
HELP!
4(2x-3)=6x+2
I thought when I simplify it 22x=14 but its wrong
Answer:
the answer is 1
Step-by-step explanation:
4(2x-3)=6x+2
8x-12=6x+2
+6x +6x
14x-12 =2
+12 +12
14x=14
x=1 and don't worry we all make mistakes
The box plot below describes a data set. Which of the following has a value of 18?
Answer:
the answer is third quartille
Step-by-step explanation
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Use the image below for Part A, Part B, and Part C.
Two triangles: GHI and JKL
Both have one similar angle but different side lengths
Part A: Sharon says the triangles above are similar using the AA Postulate. Is she correct?
Part B: Explain the answer from Part A.
Part C: If HI=7, find KL. Show your work.
Please Help!
The triangle given is similar to using SAS. Sharon is wrong and the value of KL is 14.
What are the triangle similarity criteria?there are three types of triangle similarity criteria known. those are
AA: Two pairs of corresponding angles are equal.SSS: Three pairs of corresponding sides are proportional.SAS.: Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.Given, two Triangle ΔGHI and ΔKLJ. Also, we can see in the figure That ratio of there two known sides is equal and they both have a similar angle.
the ratio of two sides of given triangles
4/8 and 5/10
hence, the ratio of both the side is equal that is 1/2
from the SAS theorem:
Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
thus, given triangles are similar.
Since the Ratio of all three sides would be equal.
hence, HI / KL = 1/2
the third side of the triangle JKL, KL is 14.
Therefore, The given triangle is comparable to using SAS. Sharon is mistaken; The value of KL is 14.
Learn more about triangle similarities here:
https://brainly.com/question/14926756
#SPJ1
Can u please helppppppppp
Answer:
Draw a vertical line that goes through the point given. This will make the two lines perpendicular. The line given is horizontal, a vertical like would be 90° o the horizontal line.
Step-by-step explanation:
⚠️ Help I don’t understand this one and it’s my last one !! ⚠️
Answer:
x=4
Step-by-step explanation:
no because x=4 and you can't have multiple answerd
On Friday, Tyler came up with the expression t= -0.5(1-2h) to represent the temperature change. His math teacher came up with the expression t= 4(2h+2) - 7h - 8.5 for the same day. Are these expressions equivalent or not?
Answer:
no
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
12.5
Step-by-step explanation:
So this is basically a rectangle. You make the 2 triangles a square.
2.5x2.5=6.25
6.25x2=12.5
please help: find m∠LHF
Answer:
17
Step-by-step explanation:
5y - 8 = 9y - 28
-8 = 4y - 28
4y = 20
y = 5
9(5) - 28
45 - 28
17
write an equivalent expression for 3m + 9m
Answer:
3(m+3m)
Step-by-step explanation:
solve for x
find AC
this is the last question I'm posting
Answer:
x = 15, AC = 25
Step-by-step explanation:
Given a tangent and a secant from a external point to a circle, then
The product of the external part and the whole of the secant is equal to the square of the tangent.
(9)
12(12 + x) = 18² = 324 ( divide both sides by 12 )
12 + x = 27 ( subtract 12 from both sides )
x = 15
(10)
9(9 + 3x + 1) = 15²
9(3x + 10) = 225 ( divide both sides by 9 )
3x + 10 = 25 ( subtract 10 from both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Then
AC = 3x + 10 = 3(5) + 10 = 15 + 10 = 25
A square rug measures 8 feet by 8 feet. find the diagonal distance of the rug to the nearest whole number
A tower that is 103 feet tall casts a shadow 117 feet long. Find the angle of elevation of the sun to the
nearest degree
Answer:
[tex]\theta=61.68^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of a tower, h = 103 feet
The height of its shadow, H = 117 feet
The height of tower is perpendicular and the height of shadow is hypotenuse of a right angled triangle. We can use trigonometry such that,
[tex]\sin\theta=\dfrac{h}{H}\\\\\theta=\sin^{-1}(\dfrac{103}{117})\\\\\theta=61.68^{\circ}[/tex]
So, the angle of elevation of the sun is equal to [tex]61.68^{\circ}[/tex].
Please help if the answer is right I will give brainliest. Simplify the radical
Answer:
[tex]\frac{2\sqrt{6}}{3n^{\frac{3}{2}}}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{8}}{\sqrt{3n^3}}==\frac{\sqrt{8}}{\sqrt{3}n\sqrt{n}}=\frac{2\sqrt{2}}{\sqrt{3}n\sqrt{n}}=\frac{2\sqrt{6}}{3n^{\frac{3}{2}}}[/tex]
Round 7.3084 to 2 decimal places.
Answer:
[tex] \sf \: 7.31[/tex]
Step-by-step explanation:
Now we have to,
→ round a number to 2 decimal places.
The number is,
→ 7.3084
Let's solve the problem,
→ 7.3084
→ ≈ 7.308
→ [tex] \boxed{ \sf ≈ 7.31} [/tex]
→ ≈ 7.3
Hence, the answer is 7.31.
Melanie answered 18 of
24 questions correctly
on a test. What percent
of her answers were
correct?
|GIVING BRAINLIEST| (no links)
75 percent
Megan answered 18 questions correctly on a test. That is 75 percent of the total number of questions (24) which were on the test.
How to answer this question
The value of x to the nearest degree will be 112°.
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
There are three angles are shown in figure.
That is,
⇒ 59°, 108°, and 81°.
Now, We know that;
Sum of all four angles is 360°.
So, We can formulate;
⇒ 59° + 108° + 81° + x = 360°
⇒ 248° + x = 360°
⇒ x = 360° - 248°
⇒ x = 112°
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ1
please help me out thank you so much whoever does !!
Answer: Angle c is 80 degrees
Equation: 60+40+x = 180
Step-by-step explanation: First of all, know a triangle equals 180 degrees. You add the angles you already know together and then subtract that number from 180. Then you get angle c. :)
find the measure of angle 1
What is the surface area of the square pyramid?
Answer:
16m^2
Step-by-step explanation:
SA = 2bs + b^2
= 2(2m)(3m) + (2m)^2
= 16m^2
HELP PLEASE!!!
The circumference of a circular field is 276 yards. What is the diameter of the field?
Round your answer to the nearest hundredth.
solve: Tan20. Tan 40. Tan 80
plaease help me.....
Answer: you need more information to solve
Step-by-step explanation:
Help Plz :)
Hehehehehehehee
Answer:
Step-by-step explanation:
.
.