Step-by-step explanation:
Rate
= Distance / Time
= (3x² - 12)m / (x + 2)s
= 3(x + 2)(x - 2)m / (x + 2)s
= 3(x - 2) m/s.
Samiya bought a tree 3 inches long. Each year, the tree expected to grow 5 inches. How long (How many years) it takes the tree to reach the height of 8 feet (or 96 inches)? Let \large y be number of years it takes to reach 96 inches tall;
Answer:
19 years
Step-by-step explanation:
Initial height of tree when Samiya bought the tree = 3 inches
Growth in the height of tree every year = 5 inches
Number of years = [tex]y[/tex]
Growth in the height of tree in [tex]y[/tex] years = 5 inches multiplied by number of years
Growth in the height of tree in [tex]y[/tex] years = 5[tex]y[/tex] inches
To find:
Number of years taken by the tree to be 8 ft or 96 inches.
Solution:
The equation for height of tree after [tex]y[/tex] years can be written as:
3 + 5[tex]y[/tex] which is to be compared with 96 inches.
Therefore, the equation is:
[tex]3 + 5y = 96\\\Rightarrow 5y=93\\\Rightarrow y \approx 19[/tex]
Therefore, it will take 19 years for the tree to reach a height of 96 inches.
Sydney has a bag of stuffed animals containing, 1 elephant, 4 bears, 3 cats, and 2 dogs. If she randomly selects 1 stuffed animal from the bag, places it on her bed and then selects another animal. What is the probability that she chooses a bear both times?
Answer:
2/15
Step-by-step explanation:
Step one:
given data
sample space
1 elephant,
4 bears,
3 cats, and
2 dogs.
sample size= 1+4+3+2= 10
Required:
By selecting without replacement, the probability that she chooses a bear both times
Step two:
the first event= Pr(bear)= 4/10= 2/5
the second event, the sample size is now 9 and the number of bears is now 3
Pr(bear)= 3/9= 1/3
Hence, the probability that she chooses a bear both times
= 2/5*1/3
=2/15
Calculate the average speed of an insect that walked 27 centimeters in 9 seconds. *
A 9 cm/s
B 27 cm/s
C 243cm/s
D 3 cm/s
Answer:
D) 3cm/s
Step-by-step explanation:
Speed (or velocity) is calculated with d/t (distance/time). From the multiple-choice options, we know the unit is cm/s, which makes it super convenient.
Now, using the equation and seeing that 27cm is the distance and 9s is the time, 27/9 =3.
Therefore, the answer is D, 3cm/s.
Hope that helps!
Which of the following pairs of functions are inverses of each other?
A.
[tex]f(x) = \frac{x}{4} + 10 \: and \: g(x) = 4x - 10 [/tex]
B.
[tex]f(x) = {2x}^{3} + 9 \: and \: g(x) = \sqrt[3]{ \frac{x}{2} } - 9 \: [/tex]
C.
[tex]f(x) = \frac{12}{x} - 18 \: and \: g(x) = \frac{12}{x + 18} [/tex]
D.
[tex]f(x) = {6x}^{3} - 7 \: and \: g(x) = \frac{ {x}^{3} + 7}{6} [/tex]
answer: C.
The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline. Write an
equation that represents this path.
Answer:
-1/4x + 3/2
Step-by-step explanation:
i dont know how explain but heres the answer :)
Beckett purchased a diamond ring for $14,000. The value of the ring increases 2.1% every year
Answer:
14,000+2.1%(0.021)x
Step-by-step explanation:
x is how many years
What is the value of x in this equation?
5x - 2(2x- 1) = 6
OA. 3
O B. 4
O C. 7
O D. 8
Answer:
C
Step-by-step explanation:
Answer:
B. 4
Step-by-step explanation:
5x - 2(2x-1) = 6 Distribute first the 2 to (2x-1)
5x - 4x + 2 = 6 Subtract 5x - 4x
x + 2 = 6 Transpose 2 to the right side by subtracting both side by 2
x = 6 -2
x = 4
help with math? heres the question.
-
answer options:
8
2
5
3
whats 17+-44 describe how you got that answer”
Answer:
17 plus 44 is 61.
Step-by-step explanation:
I used a calculator. In order for ur brain to learn something new, its got to get rid of some stuff. am I right?
Question : WHICH OF THE LINES IS PARALLEL ? HOW DO YOU KNOW ?
Answer:
B and R
I think that is the name of the lines. If not the the first two lines!!!!
Help me please!
How much can the Owen family expect to pay per year for tuition to a private college?
A)$22,568
B)$23.068
C)$24.618
D)$25.458
Which system of equations is represented by this graph?
y= _ x+3
y= _ x-3
The system of equations represented by the graph are
y = 2x + 3 and y = (-1/2)x - 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of one line on the graph.
y = mx + c
Select two coordinates from the line.
(0, 3) and (-3, -3)
m = (-3 - 3) / -3 = -6/-3 = 2
(0, 3) = (x, y)
3 = 0 + c
c = 3
The equation of the line is y = 2x + 3
The equation of the other line on the graph.
y = mx + c
Select two coordinates from the line.
(0, -3) and (2, -4)
m = (-4 + 3) / 2 = -1/2 = -1/2
(0, -3) = (x, y)
-3 = 0 + c
c = -3
The equation of the line is y = (-1/2)x - 3
Thus,
y = 2x + 3 and y = (-1/2)x - 3 are the system of equations.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
After 12:00, the number of people in Mal-Wart
grows steadily until 6:00p.m. If the equation
y= 228 + 58x represents the number of people in
the store x hours after 12:00, how many people
were in the store at 12:00?
Answer:
228
Step-by-step explanation:
substitute 0 for x
Question 5
Trent has 12 cups of ice cream for his daughter's birthday party
If each serving is
3/4
of a cup, how many children can eat ice cream?
А
1
B
9
С
12
D
16
Answer:
B. 9
Step-by-step explanation:
12 times 3/4 is 9
Answer:
it takes 4 of the 3/4 servings to make a whole number and it's 3 cups.
12/3= 4 and 4*4= 16
so 16 children can eat ice cream
or you could do 12/0.75= 16
you would do that because 3/4=0.75
you would divide and not multiply because you're seeing how many times 0.75 can go into 12
Step-by-step explanation:
Need help ASAP plzzzzz
Answer:
y=2x+1
Step-by-step explanation:
Input X=2 into the function, so y=2(2)+1, which is 5. This matches the table.
Answer:
It's the first one: y= 2x +1
Step-by-step explanation:
If you multiply 2 by 2, you'll get 4. then you add 1. You'll get 5.
same with the others-
Use the expression 10x2 + 9x + 11 to answer the following: Part A: How many terms are in the expression? Part B: Name all coefficients in the expression. Part C: What is the constant in the expression?
Answer:
terms 3
coefficients 2
constant is your 11
Step-by-step explanation:
whats the slope of y= 1 over 2x-2
Elizabeth reduced a picture that is 10 inches long by 8 inches wide using a photocopier. the reduced picture is now 6 inches long. what scale factor did the photocopier reduce the picture?
Please show your work!
Answer:
0.6
Step-by-step explanation:
10l|8w
6l`|?w`
6/10=0.6
0.6 x 8w = 4.8w
Scale factor = 0.6
Step-by-step explanation:
please delete this comment
What is the slope of a line that is perpendicular to the line whose equation is 8y−5x=11?
Ill give someone brainlist
9514 1404 393
Answer:
-8/5
Step-by-step explanation:
When you solve for y, the slope of the line is the x-coefficient. For the given line, that is ...
8y = 5x +11 . . . . . add 5x
y = 5/8x +11/8 . . . . divide by 8
The given line has a slope of 5/8. The perpendicular line will have a slope that is the opposite of the reciprocal of this:
-1/(5/8) = -8/5 . . . . slope of perpendicular line
Answer:
The slope of the perpendicular line will be -8/5, or -1.6
Step-by-step explanation:
First we need to rearrange the equation to show the slope, putting in the format y = sx + c:
[tex]8y - 5x = 11\\8y = 5x + 11\\y = \frac{5}{8}x + \frac{11}{8}[/tex]
So the given line has a slope of 5/8.
A line perpendicular to that will have a negative reciprocal of that slope, so it's slope will be -8/5.
write as a single fraction in its simplest form 2x -1 / 3 - 2/x + 1
Answer:
(2x^2 + x-7)/3x+ 3
Step-by-step explanation:
Here, we want to write the following as a single fraction;
2x-1/3 - 2/x + 1
That will be;
(2x-1)(x + 1) -2(3)/3(x+ 1)
= 2x^2+ 2x-x-1-6/3(x + 1)
= (2x^2+x-7)/3(x+1)
= (2x^2 + x-7)/3x+ 3
Bonnie filled her cars gas tank. She put in 10 1/2 gallons and paid $15.36.
Does anybody know the ratio in fractional form to find the cost of gasoline per gallon?
And what is the cost of gasoline per gallon.
What’s the length of the diagonal line that splits the square?
A city has a vacant lot in the shape of an isosceles trapezoid and the city workers are installing a fence around the lot. What length of fencing is required? Round the answer to the nearest meter. А 25 m B x 25 m 45° The length of fencing required is meters.
Answer:
Length of the fence required = 135 m
Step-by-step explanation:
Total length of the fence required to cover the vacant lot = Perimeter of the isosceles trapezoid
Perimeter of ABCD = AB + BC + CD + AD
Since, AB = BC = EF = ED = 25 m
From the given right triangle BEC,
m∠EBC = m∠ECB = 45°
ΔBEC will be an isosceles triangle.
So, BE = EC
By Pythagoras theorem,
BC² = BE² + EC²
25² = 2(EC)²
EC = [tex]\frac{25}{\sqrt{2}} =17.7[/tex] m
And DC = (DF + EF + EC)
= EC + EF + EC [Since, DF = EC]
= 2EC + EF
= 35.4 + 25
= 60.4 m
Hence. perimeter of ABCD = 25 + 25 + 60.4 + 25
= 135.4 m
≈ 135 m
Therefore, length of the fence required = 132 m
write an equation in point-slope form of the line that passes through (1,0) and (4,4)
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
y=6x+4.2
Step-by-step explanation:
rakka flakka told me
I NEED HELP ASAP! SO EASY
Answer:
165 hope this helps
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
Answer:
159
[tex]--------------------------------------------[/tex]
Step-by-step explanation:
-4 + 91=87
87 + 72=159
[tex]--------------------------------------------[/tex]
SIMPLE
3n - 5 =22 what is the value of n
Answer:
n = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3n - 5 = 22
Step 2: Solve for n
Add 5 to both sides: 3n = 27Divide 3 on both sides: n = 9Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:1:7
Step-by-step explanation:
Answer:
for every 7 miles Nolan drove alexander drove 1
Step-by-step explanation:
Which describes the graph of y=(x+6)^2+1?
A. Vertex at (-6,-1)
B. Vertex at (6,-1)
C. Vertex at (-6,1)
D. Vertex at (6,1)
help im confusion......
Answer:
Line J
Step-by-step explanation:
It is sloping downwards. It starts in the top left and end at the bottom right, so it it the only negative one
Answer:
Line J
Step-by-step explanation:
Its the only one descending downwards, while the other two are going up in a positive direction.
Hope this helps (:
Ben purchased lunch today at the school cafeteria for $5.00. Before today, Ben owed $10.00 on his lunch account. What is the status of his lunch account after today?
Answer:
-$15.00
Step-by-step explanation:
simple math bro
