Answer:
The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2
Step-by-step explanation:
In the linear equation, y =mx + b
This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.
In the equation, y represents the height of the trees after x years.
m is the gradient, that is, the rate at which the trees are growing.
and b is the height at the time they were planted, that is, at time x = 0.
From the question,
Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,
b = 2
Also, from the question,
The trees have grown at an average rate of 3/4 foot per year, that is,
m = 3/4
Hence, the equation becomes
y = 3/4x + 2 ([tex]y = \frac{3}{4}x + 2[/tex])
OR
y = 0.75x + 2
Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2 OR y = 0.75x + 2.
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
Given :
Six 2-foot tall pine tress were planted.
The trees have grown at an average rate of 3/4 foot per year.
We need to frame linear equation that represents the height of the tree in terms of number of years.
Linear equation is y=mx+b
where b is the initial height of the tree
m is the rate of growth of the tree
y is the final height of the tree
and x represents the number of years
Initial height of the tree is 2 foot
rate of growth is 3/4 foot per year
x is the number of years
Replace all the values inside y=mx+b formula
[tex]y=\frac{3}{4}x+2[/tex]
Equation that represents the height of the tree in terms of number of years since they were planted
[tex]y=\frac{3}{4}x+2[/tex]
Learn more : brainly.com/question/20816424
Hey, I need this answer in by today. Please help me solve this and give a word by word explanation. Thanks!
Answer:
185
Step-by-step explanation:
firstly you calculate all in brackets
(280+20)÷3
300÷3
100-15
85
now you calculate 10×5=50
2×50=100
85+100=185
so firstly deal with problem inside the brackets, then you got multiplication and division outside their brackets and finally get 85 +100 =185
Please hurry please
Answer:
No
Step-by-step explanation:
it doesn't add up so. No.
Help, i will do brailiest and everything!!!
a) Four gallons of water weigh 33.4 lb
How much do 7.5 gallons of water weigh?
b) Four gallons of water weigh 33.4 lb
Find the constant of variation.
Answer: a) 62.591 lb b) 7.5
Step-by-step explanation:
Answer:
a) 62.625 lb
b) 8.35
Step-by-step explanation:
a) Use a proportion.
4 gal is to 33.4 lb as 7.5 gal is to x lb.
4/33.4 = 7.5/x
4x = 33.4 * 7.5
4x = 250.5
x = 62.625
Answer: 62.625 lb
b) 33.4/4 = 8.35
Tada!!!!!
3. Jane Windsor financed a $5,900 ski boat with a 12% add-on interest installment loan for 12 months. Given the loan required a 10% down payment, determine the following: The amount of the finance charge? The amount of the finance charge rebate if the loan were to be paid after the 10th payment?
Answer:
multiply it by .12 then it says for 12 months, multiply it by 12 then
Step-by-step explanation:
What are the solutions of the quadratic equation? 2 x^2 – 16 x + 32 = 0
Answer:
X=4,4
Step-by-step explanation:
2 x^2 – 16 x + 32 = 0
2(x^2-8x+16)=0
X^2-(4+4)X+16=0
x^2-4x-4x+16=0
x(x-4)-4(x-4)=0
(x-4)(x-4)=0
X=4,4
So the solution is X=4,4
Study circle C, where diameter TV bisects chord EF.
The diagram as described in the text.
If m∠EKT=(5x + 65)∘, what is the value of x?
Enter the correct value.
The answer to the question and value is 5
1. A machine shop has eight screw machines but only three spaces available in the production area for the machine. In how many different ways can the eight machines be arranged in the three spaces available?
2. A quality control randomly selects two of five parts to test for defects. In a group of five parts, how many combinations of two parts can be selected?
Answer:
a= 336 different ways
b= 10 possible combinations
Step-by-step explanation:
As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight
8 P 3= 336 different ways the eight machines be arranged in the three spaces available.
Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.
5C2 = 10 possible combinations of two parts can be selected.
What is the slope-intercept form of a line that contains the point (0,3) and a slope=-2
PLZ HELPP
Answer:
C. y = -2x + 3
Step-by-step explanation:
The equation of a line in slope-intercept form is given as y = mx + b.
m = slope, while b = y-intercept.
We already know that the slope, m, = -2.
We are given a point also as (0, 3). This means, at x = 0, y = 3.
Therefore, the y-intercept, b, = 3, because, the line would intercept the y-axis of the graph at y = 3, and at that point, x = 0.
Thus,
Slope (m) = -2,
y-intercept (b) = 3
Plug these values into y = mx + b
✅The equation of the line in slope-intercept form would be:
y = -2x + 3
Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1.
f(x) = −one twelfth(x − 5)2 + 2
f(x) = one twelfth(x − 5)2 + 2
f(x) = −one twelfth(x + 5)2 + 2
f(x) = one twelfth(x + 5)2 + 2
Answer:
The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is [tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex].
Step-by-step explanation:
From statement we understand that parabola has its axis of symmetry in an axis parallel to y-axis. According to Analytical Geometry, the minimum distance between focus and directrix equals to twice the distance between vertex and any of endpoints.
If endpoints are (-5, 5) and (-5, -1), respectively, then such distance ([tex]r[/tex]), dimensionless, is calculated by means of the Pythagorean Theorem:
[tex]r = \frac{1}{2}\cdot \sqrt{[-5-(-5)]^{2}+[5-(-1)]^{2}}[/tex]
[tex]r = 3[/tex]
And the location of the vertex ([tex]V(x,y)[/tex]), dimensionless, which is below the focus, is:
[tex]V(x,y) = F(x,y)-R(x,y)[/tex] (1)
Where:
[tex]F(x,y)[/tex] - Focus, dimensionless.
[tex]R(x,y)[/tex] - Vector distance, dimensionless.
If we know that [tex]F(x,y) = (-5,5)[/tex] and [tex]R(x,y) = (0,3)[/tex], then the location of the vertex is:
[tex]V(x,y) = (-5,5)-(0,3)[/tex]
[tex]V(x,y) =(-5,2)[/tex]
In addition, we define a parabola by the following expression:
[tex]y-k = \frac{(x-h)^{2}}{4\cdot r}[/tex] (2)
Where:
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.
[tex]r[/tex] - Distance of the focus with respect to vertex, dimensionless.
If we know that [tex]h = -5[/tex], [tex]k = 2[/tex] and [tex]r = 3[/tex], then the equation of the parabola is:
[tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex]
The equation of the parabola with a focus at (-5,5) and a directrix of y = -1 is [tex]y = \frac{1}{12}\cdot (x+5)^{2}+2[/tex].
PLEASEEE HELP ITS FOR A GOOD CAUSE !!
Answer:
And what cuase might that be...? Jkjk ofc ill help
Step-by-step explanation:
Amswer is C. im 99 percent sure i did the math and to double check i put it into a site ans it said it was C! Hope this helps! :)
Ava's cat is 3 pounds heavier than her puppy. if their combined weight is 27 pounds, how much does her cat weight
Answer:
12
Step-by-step explanation:
(3+x)+x=27
2x+3=27
2x=24
x=12
Cuales son los gráficos que nos permiten analizar el movimiento rectilíneo
Step-by-step explanation:
Un modo de describir y estudiar los movimientos es mediante gráficas que representan distancia-tiempo (distancia en función del tiempo), velocidad-tiempo (velocidad en función del tiempo) y aceleración-tiempo (aceleración en función del tiempo).
I believe SAS is the correct answer but SSS is also possible so which one is it?
hsosjqndksowowlwksmzndnkwoa
Answer:
What do you want us to answer here?
Step-by-step explanation:
???
Find the length x of QR
Answer:
4.5
Step-by-step explanation:
If they are symilar their sides are in proportion so write the proportion
[tex]\frac{x}{5} =\frac{2.7}{3}[/tex] you can pick any other 2 sides as long as you take them in the same order
x= 5*2.7/3=4.5
Determine the check digit for the UPCs that have these initial 11 digits. a) 73232184434 b) 63623991346 c) 04587320720 d) 93764323341
Answer:
The check digits
a) x₁₂ ≡ 5( mod 10 )
b) x₁₂ ≡ 2( mod 10 )
c) x₁₂ ≡ 0( mod 10 )
d) x₁₂ ≡ 3( mod 10 )
Step-by-step explanation:
Given the data in the question;
We know that the formula for determining the UPCs check is;
3x₁ + x₂ + 3x₃ + x₄ + 3x₅ + x₆ + 3x₇ + x₈ + 3x₉ + x₁₀ + 3x₁₁ + x₁₂ ≡ 0( mod 10 )
now we will substitute the given values to determine the value of the last bit
a)
73232184434
we substitute into the formula
3×7 + 3 + 3×2 + 3 + 3×2 + 1 + 3×8 + 4 + 3×4 + 3 + 3×4 + x₁₂ ≡ 0( mod 10 )
x₁₂ ≡ 5( mod 10 )
b)
63623991346
we substitute into the formula
3×6 + 3 + 3×6 + 2 + 3×3 + 9 + 3×9 + 1 + 3×3 + 4 + 3×6 + x₁₂ ≡ 0( mod 10 )
x₁₂ ≡ 2( mod 10 )
c)
04587320720
we substitute into the formula
3×0 + 4 + 3×5 + 8 + 3×7 + 3 + 3×2 + 0 + 3×7 + 2 + 3×0 + x₁₂ ≡ 0( mod 10 )
x₁₂ ≡ 0( mod 10 )
d)
93764323341
we substitute into the formula
3×9 + 3 + 3×7 + 6 + 3×4 + 3 + 3×2 + 3 + 3×3 + 4 + 3×1 + x₁₂ ≡ 0( mod 10 )
x₁₂ ≡ 3( mod 10 )
Answer correctly and I will mark you brainless ❤️
Please help! BRAINLIEST to correct answer!!!
Answer:
−3x⋅(x+6)⋅(x−8)
Step-by-step explanation:
hp this helps
Does this graph show a function? Explain how you know.
A. No, there are yvalues that have more than one x-value.
B. Yes, there are no yvalues that have more than one x-value
C. Yes, the graph passes the vertical line test. PREVIOUS
D. no the graph fails the vertical line test
Answer:
D. no the graph fails the vertical line test
Quick answer please!!!! Brodie hires a technician to fix his air conditioning unit. The total cost includes $26.50 for parts and $50.00 per hour the technician works on the job. Which equation can be used to find y, the total cost Brodie pays, given x represents the number of hours the technician works on the job? y=26.50x−50 y = 26.50x + 50 y = 50x + 26.50 y=26.50(x+50)
Answer:
y = 50x + 26.50
Step-by-step explanation:
we put the x after 50 be cause we don't know how many hours he worked
then add 26.50 the cost of the parts.
Hoped this helped.
Answer:
C: y=50x+26.50
Step-by-step explanation:
I just took the test and i got it right!!! 100%
do i get brainlest
Matt and Chris leave their uncle's house in Phoenix at the same time, Matt drives west on 1-60 at a speed of 79 miles per hour. Chris drives east on 1-60 at a speed of 83 miles per hour.
How many hours will it take them to be 64 miles apart
Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels five miles per hour. The
southbound boat goes seven miles per hour How many hours will it take them to be 66 miles apart?
he
Addit
Answer:
It will take them (Matt and Chris) 0.395 hours to be 64 miles apart
It will take 5.5 hours for the boats to be 66 miles apart
Step-by-step explanation:
We are to determine the time when Matt and Chris will be 64 miles apart, that is, when the total distance traveled by both of them will be 64 miles.
Let the time be t and
Let the distance covered by Matt be S₁ and the distance covered by Chris be S₂.
For Matt,
From the question, Matt drives at a speed of 79 miles per hour
From the formula
Distance = Speed × Time
S = v × t
∴ S₁ = 79×t
S₁ = 79t
For Chris,
From the question, Chris drives at a speed of 83 miles per hour
Using the same formula,
∴ S₂ = 83 × t
S₂ = 83t
To determine when they will be 64 miles apart, that is when S₁ + S₂ = 64 miles.
Hence,
S₁ + S₂ = 79t + 83t
∴64 = 79t + 83t
64 = 162t
t = 64/162
t = 0.395 hours
Hence, it will take them 0.395 hours to be 64 miles apart.
For the boats,
To determine how many hours it will take them to be 66 miles apart, that is when the total distance traveled by the two boats will be 66 miles.
Let the time be t and
Let the distance traveled by the northbound boat be S₁ and the distance traveled by the southbound both be S₂.
From the question,
The northbound boat travels five miles per hour
From the formula
Velocity = Distance / Time
Then, Distance = Velocity × Time
That is, S = v × t
Hence, for the northbound boat,
S = S₁
v = 5 miles per hour
∴ S₁ = 5t
Also from the question,
The southbound boat goes seven miles per hour
Hence, for the southbound boat
S = S₂
v = 7 miles per hour
∴ S₂ = 7t
To determine when the boats will be 66 miles apart, that is when S₁ + S₂ = 66 miles
Then,
S₁ + S₂ = 5t + 7t
Hence,
66 = 5t + 7t
66 = 12t
t = 66/12
t = 5.5 hours
Hence, it will take 5.5 hours for the boats to be 66 miles apart.
Anybody know the answer to this ?
Answer:
13.08 United States Dollars
So what is the tea on life ??? !!!!!!!!!
ANY chisme
Answer:
I aint never seen two pretty best friends, its always one of em gotta be ugly
Step-by-step explanation:
The number of home runs hit by Hank Aaron, the all-time leader, is 755. This
has an order of magnitude of 4
A. True
B. False
Answer:
True
Step-by-step explanation:
Hope this helped :)
Answer:ITS FALSE!!
Step-by-step explanation:
Consider the first four terms of the sequence below.
-3, -12,-48,-192, ...
What is the 8th term of this sequence?
A.) -42,152
B.) -768
C.) -12,288
D.) -196,608
Answer: -49,152
Step-by-step explanation
r =4 -192/-48, -48/12
8th term= -3*4^7 =-3*16384 =-49,152
The first four terms of the sequence below ; -3, -12,-48,-192, ...therefore, the 8th term of this sequence is -49,152.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
Thus, the nth term of such sequence would be [tex]T_n = ar^{n-1}[/tex](you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).
The first four terms of the sequence below.
-3, -12,-48,-192, ...
We need to find the 8th term of this sequence
r = 4 = -192/-48, -48/12
8th term = -3 x 4^7
= -3 x 16384
= -49,152
Learn more about geometric sequence here:
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#SPJ2
This is for someone that i was suppost to give brainliest to lol
Answer:
ok does that mean me dont get brainliest
Step-by-step explanation:
write -90 in simplest radical form
please help or i’ll failll
Can some please help me with this one it would be much appreciated
πAnswer:
Therefore, the area of a sector of a circle would be 13.5π square units.
Step-by-step explanation:
Given
[tex]r=9[/tex] miФ = 60°The area of a sector of a circle is:
A = π r² Ф/360
A = π (9)² 60/360
A = π 81 * 1/6
A = 13.5π square units
Therefore, the area of a sector of a circle would be 13.5π square units.
The BHS band needs to make T-shirts for its 35 members and has set aside some money in their budget to pay for them. The members of the band decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts.
Write an equation that represents the relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order. If you use a variable, specify what it represents.
2. In this situation, which quantities do you think can vary? Which might be fixed?
Answer:
C = 105 + 50x
2) variable unit = Numbe of color
Fixed unit = number of shirt
Step-by-step explanation:
Given that :
Number of members = 35
Charge per shirt = $3
Charge per color = $50
relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order
Let cost of order = C
Number of color = x
Number of Tshirt ordered = 35
Cost = (charge per shirt * number of shirts) + charge per color * number of colors)
C = (3 * 35) + ($50 * x)
C = 105 + 50x
Number of shirts to be ordered has been fixed tnd this includes it's 35 members
The number of color to be used hasn't been adopted and can thus be varied
HELLLLP ASAP I NEED SOMEONE TO EXPLAIN PLEASE
Step-by-step explanation:
When it says you need to prove something
you need to place a statement about what you need to prove
and then a reason for why.
In this case
You need to prove that
Side AB is congruent (identical in form) to Side ED