The graph of g(x) = (x+2)^2 is a translation of the graph of f(x) ___by___units
Answer:
The graph of g(x)=(x+2)^2 is a translation of the graph of f(x) LEFT by TWO units.
please help me on this!
Answer:
The rocket reached its maximum height at 1.25 seconds.
Step-by-step explanation:
f(1)=3
f(n)=f(n−1)+5.5
f(3)=
Answer:
f(3) = 14
Step-by-step explanation:
Using the recursive formula and f(1) = 3 , then
f(2) = f(1) + 5.5 = 3 + 5.5 = 8.5
f(3) = f(2) + 5.5 = 8.5 + 5.5 = 14
Answer:
14
Step-by-step explanation:
A certain virus is dying off at a rate of 18% per hour. Initially there were
40,000 grams of the strain. If this continues at this rate, how much of the
strain would still be alive after 48 hours? (Round your answer to the
nearest whole number.) *
Answer:
3 strain would still alive after 48 hours
Step-by-step explanation:
Initial population of virus = 40000 grams
A certain virus is dying off at a rate of 18% per hour.
We are supposed to find how much of the strain would still be alive after 48 hours
Formula : [tex]N(t)=N_0(1-r)^t[/tex]
[tex]N_0[/tex]=Initial population
N(t)= Population after t hours
r = rate of decrease = 18% = 0.18
t = time = 48 hours
So,the strain would still be alive after 48 hours=[tex]40000(1-0.18)^{48}=2.91 \sim 3[/tex]
Hence 3 strain would still alive after 48 hours
A factory makes 750 cakes every day. The cakes are orange cakes or lemon cakes. Each day Aadil takes a sample of 25 cakes to check. The proportion of the cakes in his sample that are orange is the same as the proportion of the cakes made that day that are orange. On Monday Aadil calculated that he needed exactly 7 orange cakes in his sample. a) What is the total number of orange cakes that were made on Monday
A) 210
B) 0.18
Step-by-step explanation:A) On Monday, 7/25 of the 750 are orange cakes. 7/25 x 750 = 210
B) If the proportion of orange cakes is 5/25 where 5 is correct to the nearest whole number, then the 4.5 would be the lowest number that would still be rounded up to 5. 4.5/25 = 0.18
Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!
Answer:
John = 82 Billy = 82 Gregg = 80 Bob = 55
Step-by-step explanation:
John = (3x38)+(2x0)-(2x8)-(2x8)
Billy = (3x30)+(2x4)-(2x3)-(2x5)
Gregg = (3x30)+(2x3)-(2x4)-(2x4)
Bob = (3x25)+(2x6)-(2x9)-(2x7)
If 3 inch square is covered with 1inch squares how many of the 1 inch squares are needed? What is the area of the larger square
Answer:
9 1-inch squares will cover the bigger square. Its area is the same as the amount of squares needed, 9 inches.
the larger Area will be 9 square inch.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
To cover a 3 inch square with 1 inch squares, we can arrange the 1 inch squares in a 3 by 3 grid.
So, we need 9 of the 1 inch squares to cover the 3 inch square.
The area of the larger square can be found by squaring the length of one of its sides.
Since the side length of the 3 inch square is 3 inches, the area of the larger square is:
Area = (side length)² = 3² = 9 square inches
Therefore, the larger Area will be 9 square inch.
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What is the volume of this rectangular prism? 30.75 cm^3
61.5 cm^3
147.6 cm^3
295.2 cm^3
This question is incomplete. Because it lacks the diagram of the Rectangular prism. Find attached to this answer the appropriate diagram.
Answer:
295.2 cm³
Step-by-step explanation:
A Rectangular Prism is a 3 dimensional geometric shape.
The formula used to calculate the volume of the Rectangular Prism = Length × Width × Height
Length = 15cm
Height = 4.8cm
Width = 4.1cm
Volume of the Rectangular Prism = 15cm × 4.8cm × 4.1cm
= 295.2 cm³
Answer:
295.2
Step-by-step explanation:
Got it right on the test. Your welcome and have a great day and God bless you all.
he factorization of x2 + 3x – 4 is modeled with algebra tiles. An algebra tile configuration. 2 tiles are in the Factor 1 spot: 1 is labeled + x, 1 is labeled negative. 5 tiles are in the Factor 2 spot: 1 is labeled + x and 4 are labeled +. 10 tiles are in the Product spot: 1 is labeled + x squared, 1 is labeled negative x, the 4 tiles below + x squared are labeled + x, and the 4 tiles below the negative x tiles are labeled negative. What are the factors of x2 + 3x – 4? (x + 4) and (x – 4) (x + 3) and (x – 4) (x + 4) and (x – 1) (x + 3) and (x – 1)
Answer:
x-1 and x+4. srry if i am wrong
Step-by-step explanation:
Suppose that a storm front is traveling at 33 mph. When the storm is 13 miles away a storm chasing van starts pursuing an average speed of 54 mph. How long does it take for the van to catch up with the storm? How far have they driven? (Hint: we can let our two variables be x= distance and t= time. Additionally, [speed x time= distance]. Won't the van catch up when the distances are equal?
Answer:
It takes 0.619 hours (approximately 37 minutes) for the van to catch up with the storm.
They have driven 33.43 miles
They will catch up when their distances are equal.
Step-by-step explanation:
The speed of the van is 54 mph, and the speed of the storm is 33 mph. They are going in the same direction, so the relative speed is the difference of their speeds:
relative speed = 54 - 33 = 21 mph
Now, to find the time when the van reaches the storm, we just need to use the equation:
distance = speed * time
13 = 21 * t
t = 13 / 21 = 0.619 hours
The distance traveled by the van is:
distance = 54 * 0.619 = 33.43 miles
The van will catch up when the distances are equal (the distance of the storm is 13 + 33*0.619 = 33.43 miles)
How much is $100 U.S. dollars in Canadian dollars?
Answer:
133.98
Step-by-step explanation:
Communication Methods Among Teens
Frequency Two-Way Table
Which answer shows the relative frequency by the row
of girls?
O 52.5%, 23.0%, 24.6%, 100%
O 57.0%, 12.2%, 27.8%, 100%
O 60%, 12.2%, 27.8%, 100%
O 62.8%, 44.0%, 62.5%, 100%
Text
e-Mail
IM
Total
Boys
32
14
15
61
Girls
54
11
25
90
Total
86
25
40
151
Answer:
it’s c i think
Step-by-step explanation:
Answer C
Step-by-step explanation:
If someone could help me thank you it’s geometry :(
Answer:
<1 = 119
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
<1 = 57+62
<1 = 119
Answer:
119
Step-by-step explanation:
Find the circumference of this circle:
7 cm
Write appropriate units with your answer, and round your answer to 2 decimal places.
Anyone know how this can be solved?
Answer:
127.235cm^2
Step-by-step explanation:
A = πr²/2 = 40.5 * π [cm²] ≈ 127.235 [cm²]
Answer:
[tex]127.251 {cm}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{180}{360} \times \pi {r}^{2} \\ \frac{1}{2} \times 3.142 \times 9 \times 9 \\ = \frac{254.502}{2} \\ = 127.251 {cm}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Two lines are guaranteed to be coplanar if they?
Answer:
If they lie in the same plane
Esme buys jackets for $500 each and prices them for $700 each. If the selling price is reduced by 20%, what's the profit percentage?
Please help!!! Imma mark you the brainliest!!
12%
The cost Esme increased was 200, but then she reduced 20%of 700, which gives 140 dollars reduced. So, we subtract 140 from 200, which is 60 to find the actual increase.
Now, we follow the simple rules of percentage change
Increase divided by original times 100.
So, 60 divided by 500( not 700) times 100 = 12
Simplify 7(A-6)
A-6
7A-42
7A-6
Answer:
7A - 42
Step-by-step explanation:
7(A-6)
Distribute
7*A - 7*6
7A - 42
g(x) = 1/3 * (2/9)^x. Does the function model growth or decay?
Answer:
It Decays
Step-by-step explanation:
Why because Kahn Acadmey said so
john has × marbles and max has twice as many.max give gives john 5 of his marbles does max now have
Answer: 2x -5
Step-by-step explanation:
Hi, to answer this question we have to write equations with the information given:
John has × marblesJohn=x
Max has twice (multiplied by 2) as many.max give gives john 5 of his marbles.We have to multiply by 2 the number of marbles that John has (x), and subtract 5.
Max = 2x -5
Feel free to ask for more if needed or if you did not understand something.
Which procedure justifies whether Negative 3 x (5 minus 4) + 3 (x minus 6) is equivalent to Negative 12 x minus 6? The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (2) minus 6 = negative 30. The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (3) minus 6 = negative 42. The expressions are equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (negative 2) minus 6 = 18. The expressions are equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (1) minus 6 = negative 18.
Answer:
The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30
Step-by-step explanation:
Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).
To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.
Substituting 2 to the first expression gives:
-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18
Substituting 2 to the second expression gives:
-12(2) - 6 = -24 - 6 = -30
Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.
The correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18
Expressions and valuesEquations are written by equating two expressions
Given the following equation -3x(5-4)+3(x-6)
Expand
-15x + 12 + 3x - 18
Collect the like terms
-15x + 3x + 12 - 18
-12x - 6
Hence the correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18
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choose the definition for the function
Answer:
The answer above is wrong it actually b
The function shown in the graph is option b.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
We have from the graph that graph touches the x axis at 2 and at a point between 0 and 1.
That is,
f(x) = 0 when x = 2
Substitute the value of x as 2 in the functions given in the option when x > 1 and find those functions which give y = f(x) = 0.
It is only possible for options 'a' and 'b'.
When x = 2, -2 + 2 = 0.
Also we have the point, when x = 1, y = 1.
x = 1, then -2x + 2 = 0 ≠ 1
x = 1, then -x + 2 = -1 + 2 = 1
So when x = 1, f(x) should be of the form f(x) = -x + 2.
Correct option is option b.
Hence the correct definition of the function is option b.
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Jeremy analyses one of his parachute jumps. He draws a graph showing his velocity up to the opening of his parachute. a) Estimate Jeremy's acceleration at t = 10s to 1 decimal place. b) Estimate his average speed for this part of the jump. Give your answer to two significant figures.
Answer:
Jeremy's acceleration is about [tex]1\,\frac{m}{s^2}[/tex] at t =10 s
His average speed is about 44.5 m/s in this section of his jump approximating with points on the curve (under-estimate)
His average speed is about 46 m/s if using the tangent line (over estimate)
Step-by-step explanation:
Jeremy's acceleration can be estimated by the curve's derivative at that point. That is the slope of the tangent line to the velocity curve at x = 10 sec. Please see attached image where the tangent line is drawn in orange, and the points to use to calculate its slope are drawn in green.
These points are : (6, 42) and (14,50) which using the slope formula give:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}= \frac{50-42}{14-6}=\frac{8}{8} \frac{m}{s^2} = 1\,\frac{m}{s^2}[/tex]
So his acceleration at that point is about [tex]1\,\frac{m}{s^2}[/tex]
Now, using about the same interval of x-values (from 6 to 14), the corresponding speeds are approximately: 40 (for time 6 seconds) and 49 (for time 14 seconds (look for the red dots on the attached image). Since the average velocity is given by the integral of the function between those points divided by the length of the interval where it is calculated:
[tex]v_{average}=\frac{area}{interval\,\,length}[/tex]
and we don't have the actual velocity function to estimate the integral, we can approximate this area by that of a trapezoid that connects the red dots with the bottom of the horizontal axis (see red trapezoid in the image). Clearly from the image, this approximation would give us an under-estimate of the actual average speed.
The area of this trapezoid is: approximately:
[tex]Trapezoid\,\, area=(49+40)\,8/2=356[/tex]
Then the average velocity estimated from it is:
[tex]v_{average}=\frac{356}{8} \frac{m}{s} =44.5\,\frac{m}{s}[/tex]
If the area is approximated instead with the trapezoid form by the green points we used to calculate the acceleration (this would give us an over-estimate):
[tex]Trapezoid\,\, area=(50+42)\,8/2=368[/tex]
Then the average velocity estimated from it is:
[tex]v_{average}=\frac{368}{8} \frac{m}{s} =46\,\frac{m}{s}[/tex]
while his actual instantaneous velocity seems to be about 46 m/s from the graph
Answer:
a) 1.0
b) s=45
Step-by-step explanation:
If trapezoid JKLM is translated according to the rule (x,y)—> (x+2, y - 6), what are the coordinates of point L
Answer:
( x, y) is translation '2' units right and '6' units down
(x ,y))—> (x +2 ,y-6)
Step-by-step explanation:
Explanation:-
Type of transformation change to co-ordinate point
vertical translation up 'd' units (x,y) changes to (x , y+d)
vertical translation down 'd' units (x,y) changes to (x , y-d)
Horizontal translation left 'c' units (x,y) changes to (x-c , y)
Horizontal translation right 'c' units (x,y) changes to (x+c , y)
Now by use above table
given data ( x, y) is translation '2' units right and '6' units down
(x ,y))—> (x +2 ,y-6)
Final answer:-
( x, y) is translation '2' units right and '6' units down
(x ,y))—> (x +2 ,y-6)
What is the equation for the graph shown?
Answer:
y = -2x + 6Step-by-step explanation:
The graph is a line Then it has an equation of the form : y = my + p
where m is the slope and p is the y-intercept.
the line crosses the y-axis at the point (0,6) then
p = 6
the line is going down then
m is negative
the only provided equation that verify: m < 0 and p = 6 is y = -2x + 6
Answer:
y = -2x + 6
Step-by-step explanation:
Find x 4sqrt3 2sqrt3 8 8sqrt3
Answer:
8
Step-by-step explanation:
sin 30° = 1/2
sin is opponent/hypotenuse
so
opp/hyp = 4/x = 1/2
x = 4 * 2 = 8
Answer:
[tex]\displaystyle x=8[/tex]
Step-by-step explanation:
[tex]\displaystyle x=\frac{sin(90) \times 4 }{sin(30)}[/tex]
[tex]\displaystyle x=8[/tex]
Can someone help me please?
Answer:
Inverse Variation
Step-by-step explanation:
y = k/x
the middle number; put the values in order from lowest to highest, then find the number that is exactly in the middle
Which algebraic expression is equivalent to the expression below?
3(5x + 7) – 6(4 – 2x)
270 - 3
27r - 12
12r + 3
12. + 27
ha
Answer:
[tex] \boxed{27x - 3} [/tex]
Step-by-step explanation:
[tex] = > 3(5x + 7) - 6(4 - 2x) \\ \\ = > (3 \times 5x) + (3 \times 7) - (6 \times 4) - (6 \times ( - 2x)) \\ \\ = > 15x + 21 - 24 - ( - 12x) \\ \\ = > 15x - 3 + 12x \\ \\ = > 27x - 3[/tex]
Answer: 27x=3
Step-by-step explanation: 3(5x+7) -6(4-2x) = 3(5x+7) + (-6)(4+(-2x)) = 15x + 21 + (-24) + 12x =15x + 12x + (-24) + 21 =27x + (-3) =27x-3 hope this helps
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
slope = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 3) ← 2 points on the line
m = [tex]\frac{3-2}{4-0}[/tex] = [tex]\frac{1}{4}[/tex]