Answer:
the ship moved 4 coordinates away from the current position
Step-by-step explanation:
because 8-4 is 4
In the coordinate plane,
The ship moved 3 units right and 14 units up.
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given:
A coordinate plane is used to track the movement of a ship.
The ship moved from (8, - 4) to (11, 11) on the coordinate plane.
The translation:
(11, 11) → (11 - 8, 11 +4) = (3, 14)
That means,
The ship moved 3 units right and 14 units up.
Therefore, hip moved 3 units right and 14 units up.
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Which expression is equivalent to 2.8n – 8.4?
Answer:
4.1n
Step-by-step explanation:
Given the equation n – 4.6n – 3.3n + 2.8n , to get its equivalent expression, the following steps must be followed;
Step 1:
Factor out the common variable n
n(1 – 4.6 – 3.3 + 2.8)
Step 2:
Carry out the operation in parentheses;
= n(1+2.8-4.6-3.3)
= n(3.8-4.6-3.3)
= n(3.8-3.3-4.6)
= n(0.5-4.6)
= n(-4.1)
= -4.1n
The equivalent expression is -4.1n
You have found two job offers for the beginning of the summer. Each job is only 10 days long. Job Offer #1: The offer is to receive $0.25 for accepting the job. After day one you have made a total of $1, $4 total after two days of work, $16 total after three days, etc. Job Offer #2: The offer is $16 per day with no acceptance bonus. Write an equation to represent Job Offer #1 and Write an equation to represent Job Offer #2
Answer:
[tex]f(n) = \frac{4^n-0.25}{3}[/tex] --- Job offer 1
[tex]g(n) = 16n[/tex] --- Job offer 2
[tex]1 \le n \le 10[/tex]
Step-by-step explanation:
Given
Job offer 1:
Offer = $0.25
[tex]Day 1 = \$1\ Day 2 = \$4\ Day 3 = \$16......[/tex]
Job offer 2:
Daily = $16
Required
Determine the equation for both jobs
For job offer 1:
Considering the pay for day 1, day 2,....
The sequence shows a geometry progression where the payment between subsequent days is a product of 4 by the payment of the previous day.
The sequence can be represented as:
[tex]T_1 = 1; T_2 = 4; T_3 = 16[/tex]
The common ratio (r) is:
[tex]r = \frac{T_2}{T_1} = \frac{4}{1} = 4[/tex]
The sum of n terms is the total salary received in n days.
[tex]S_n = \frac{a(r^n - 1)}{r-1}[/tex]
[tex]S_n = \frac{1 * (4^n - 1)}{4-1}[/tex]
[tex]S_n = \frac{4^n - 1}{3}[/tex]
So, the equation for job offer 1 is:
[tex]f(n) = Offer + S_n[/tex]
[tex]f(n) = 0.25+ \frac{4^n - 1}{3}[/tex]
Take LCM
[tex]f(n) = \frac{0.75 + 4^n - 1}{3}[/tex]
Collect like terms
[tex]f(n) = \frac{4^n - 1+0.75}{3}[/tex]
[tex]f(n) = \frac{4^n-0.25}{3}[/tex]
For job offer 2:
Daily payment of $16 implies that job offer 2 pays 16n for n days.
So:
[tex]g(n) = 16n[/tex]
In both cases: [tex]1 \le n \le 10[/tex]
bill bowled 3 games at a bowling alley and rented shoes, spending a total of $9.00. leann bowled 5 games at a the bowling alley and rented shoes, spending a total of $14.00. how much does it cost to bowl a game
The cost to bowl a game is $2.5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let g represent the cost of bowling a game and s represent the cost of renting shoes.
Bill bowled 3 games at a bowling alley and rented shoes, spending a total of $9.00
3g+s=9..(1)
Leann bowled 5 games at a the bowling alley and rented shoes, spending a total of $14.00.
5g+s=14..(2)
Subtract equation 2 from 1
3g+s-5g-s=9-14
-2g=-5
Divide both sides by 2
g=2.5
Hence, the cost to bowl a game is $2.5.
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Please help if you want brianleist!!! Tyyy!! :}
Hey love! <3
Answer:
The area of the following figure would be A = 312cm^2
Step-by-step explanation:
To begin solving for the area of this question we should first calculate the triangles.
The triangles width are 10cm each, and the length for each triangle is 12/2, or 6. Remember the formula for finding the area of a triangle is length times width divided by 2
After calculating all four triangles you should get 30+30+30+30, or 120.
Now, lets calculate the large central rectangle, the formula for this is the basic length times width, so that would equal 192.
Thus, 192+120=312cm^2
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A line passes through the points (0, 3) and (10, 2). What is its equation in slope-intercept form?
Answer:
1. Find slope.
slope(m)
[tex] = \frac{y2 - y1}{x2 - x1} \\ [/tex]
[tex] \frac{2 - 3}{10 - 0} = \frac{ - 1}{10} [/tex]
2. Substitute any point. (either (0,3) or (10,2) to find the y-intercept (b)
y=mx+b
3=-1/10+b
b=31/10 or 3.1
so the final answer is
y= - 1/10 + 31/10 or y= - 0.1 + 3.1
And I’m back lol. Or did I never leave to begin with?-
Answer:
61 is ur answer
Step-by-step explanation:
Since this was a 90 degree angle you would just subtract 29 from the 90 degrees and get your answer.
Order the numbers from least to greatest.
3.4, 31/5, 35.8%, 3.64, 322%
My father invests $5000 in a new bank that has an annual
interest rate of 3.8%. Find the balance
after 10 years if it is compounded yearly. Round your answer to
the nearest whole dollar.
$
identify the zeros of the polynomial function .
Step-by-step explanation:
To start, every term has an
x
in common, so we can factor that out. Doing this, we get
x
(
x
2
+
x
−
42
)
=
0
What I have in blue can be factored by a thought experiment. What two numbers have a sum of
1
and a product of
−
42
?
After some trial and error, we arrive at
−
6
and
7
. Thus, this business can be factored as
x
(
x
−
6
)
(
x
+
7
)
=
0
We can leverage the zero product property here, setting all three terms equal to zero. As our zeroes, we get
x
=
0
,
x
=
6
, and
x
=
−
7
a +19 =43
can someone help me
Answer:
A= 24!
Step-by-step explanation:
just subtract 19 from 43, and that will give you what A equals!
Answer:
24
Step-by-step explanation:
43-19= 24
24+19= 43
Find the area of the shaded polygons
PLS HELP ASAP AGAIN!!!
9514 1404 393
Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
Jeff bought a canoe for $333.75. The sales tax was 5%. What was his total cost?
Answer:
Jeff bought a canoe for $333.75. The sales tax was 5%. What was his total cost?
Step-by-step explanation:
The total cost of jeff purchase was approximately $351.27.
3. Find the products.
a) (a? + 4) (a? – 4)
Answer:
a^2-16
Step-by-step explanation:
you just a.a+a.-4+4.a+4.-4=a^2-16
4. What is the slope of the line that passes
through the points (-6, -30) and (12, 24)?
What is the total purchase price if you buy a chain saw for $539.95 and 2 safety chaps for $69.95 each, with a sales tax of 5%
Answer: [tex]\$ 713.84[/tex]
Step-by-step explanation:
Given
The price of a chainsaw is [tex]\$539.95[/tex]
The price of each safety chaps is [tex]\$69.95[/tex]
Total price before sales tax
[tex]\Rightarrow C=539.95+2\times 69.95\\\Rightarrow C=\$ 679.85[/tex]
with a tax of 5%, the total cost will be
[tex]\Rightarrow C_t=1.05C\\\Rightarrow C_t=1.05\times 679.85=\$ 713.84[/tex]
PLEASE HELP
Write the equation of a line that has the point (5,2) and y-intercept of -3
You have been evaluating cell phone providers. Double Mint Mobile has a $100 startup
fee and costs $30 per month for a cell phone plan. BT&T has a $20 startup fee and costs
$50 per month for a similar cell phone plan.
After how many months will both cell phone plans cost the same?
Answer:
4 months
Step-by-step explanation:
Let
x = number of months
Double Mint Mobile = 100 + 30x
BT&T = 20 + 50x
After how many months will both cell phone plans cost the same?
Equate the cost of both phone plans
Double Mint Mobile = BT&T
100 + 30x = 20 + 50x
100 - 20 = 50x - 30x
80 = 20x
x = 80/20
x = 4 months
Number of months = 4 months
What is the area of the triangle below (in square units)?
2 mm
14 mm
Answer:
A = 14 mm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 14 and h = 2 , then
A = [tex]\frac{1}{2}[/tex] × 14 × 2 = 7 × 2 = 14 mm²
What is the relationship between the exterior angle of a triangle and its remote
interior angles?
Answer:
The sum of the interior angles of a triangle is always 180 degrees. The exterior angle is the angle between any side of a shape, and a line extended from the next side. The sum of an exterior angle and its adjacent interior angle is also 180 degrees.
The relationship between the exterior angle of a triangle and its remote
interior angle is the exterior angle is equal to the sum of the two remote interior angles.
Which is known as the Exterior Angle Theorem.
What is a triangle?
A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
In a triangle, the exterior angle is formed when one side of the triangle is extended.
The exterior angle and the two remote interior angles (angles adjacent to the exterior angle on the triangle) form a linear pair, which means they add up to 180 degrees.
More specifically, the exterior angle is equal to the sum of the two remote interior angles.
This relationship is known as the Exterior Angle Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
For example, if one of the remote interior angles of a triangle measures 40 degrees, and the exterior angle adjacent to it measures 120 degrees, then the other remote interior angle measures 180 - 40 - 120 = 20 degrees.
Thus,
The relationship between the exterior angle of a triangle and its remote
interior angle is the exterior angle is equal to the sum of the two remote interior angles.
This relationship is known as the Exterior Angle Theorem.
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One day a retail store received a box of 24 shirts. If this shipment had 6 defective shirts, what can the store expect for upcoming shipments?
F.
A box of 32 shirts will have 12 defective shirts.
G.
A box of 40 shirts will have 10 defective shirts.
H.
A box of 48 shirts will have 3 defective shirts.
J.
A box of 64 shirts will have 8 defective shirts.
Answer:
the answer is H.
Step-by-step explanation:
what is M and N? THE PICTURE IS DOWN
Answer:
M and N is N and M
Step-by-step explanation:
I need help please is for tomorrow):
Answer:
Step-by-step explanation:
If a number gets increased by scale factor = k
Then k > 1
If the number gets decreased by a scale factor 'k'
Then 0 < k < 1
Let numbers gets increased by the scale factor = 2,
And decreased by the scale factor = [tex]\frac{1}{2}[/tex]
Numbers Scale up by 2 Scale down by [tex]\frac{1}{2}[/tex]
0.05 0.05 × 2 = 0.1 0.05 × [tex]\frac{1}{2}[/tex] = 0.025
[tex]\frac{1}{2}[/tex] [tex]\frac{1}{2}\times 2 = 1[/tex] [tex]\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}[/tex]
7 7 × 2 = 14 7 × [tex]\frac{1}{2}[/tex] = 3.5
13 13 × 2 = 26 [tex]13\times \frac{1}{2}=6.5[/tex]
25 25 × 2 = 50 [tex]25\times \frac{1}{2}=12.5[/tex]
102 102 × 2 = 204 [tex]102\times \frac{1}{2}=51[/tex]
Mateo has 60 wooden tiles in the shape of diamonds as shown below. He plans to glue these tiles side by side onto a tabletop. What will the area of the tabletop be?
Plz help me! And no links!
Answer:
hi
Step-by-step explanation:
1) Mrs. Pinkard is wrapping a present in a box. What is the total amount of wrapping paper he will need if the dimensions of the box are 4 inches in height, 8 inches in width, and 12 inches in length? *
Answer:
2,304
Step-by-step explanation:
4x8x12
4x8=32
32x12=384
384x6=2,304
Pls I need help and do not post that link thank you
Answer:
4 the one
hope 5hid will you
If you know how to do this problem, please help me out!
Step-by-step explanation:
Parallel
[tex]y = - \frac{2}{5} x + 3[/tex]
Perpendicular
[tex]y = \frac{5}{2} + 4[/tex]
Answer:
Slope of a parallel line: 2/5
Slope of a perpendicular line: 5/2
Explanation:
Parallel lines function
1. y = -2/5x+(R-4)
Perpendicular line function
2. y = 5/2x
Which of the following correctly completes the square for: x^2+2x=48
A. (x+2)^2=52
B. (x+1)^2=49
C. (x+2)^2=47
D. (X-1)^2=26
Answer:
(x+1)²= 49, the answer is B
Step-by-step explanation:
x² + 2x = 48
x² + 2x + (2/2)² - (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² - (2/2)²]
(x+1)²= 49, the answer is B
Answer:
hey I'm pretty sure it's B. (x+2)²=49
Step-by-step explanation:
x²+2x+(2\2)²=48 + (2\2)²
(x+1)²=49
2 over 2 by the power of 2 = 1
4. Based on the original question, how many quarters and dimes must Jada have?
Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each week, he deposits $11 in the account. Write an algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months.
Answer:
140 + 96 m
Step-by-step explanation:
There are 4 weeks in 1 month.
Therefore:
Jonny has $50 in a savings account. Each week, he deposits $13 in the account.
$50 + $13 × 4m
The algebraic expression is given as:
50 + 52m
Jonny's brother has $90 in a saving account.
Each week, he deposits $11 in the account.
The algebraic expression is given as:
$90 + $11 × 4m
90 + 44m
An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:
Amount Jonny has + Amount his brother has
50 + 52m + 90 + 44m
= 50 + 90 + 52m + 44m
= 140 + 96 m