Answers
Answer:
slope=100
$100 per deposit
Step-by-step explanation:
Related Questions
How many pennies are on the nth square? 2n 2n â€"" 1 2n 1 2n â€"" 1 2n 1.
Answers
The number of pennies is an illustration of pattern and sequence.
The number of pennies in the nth square is [tex]2^{n-1[/tex]
From the complete question, we have the following parameters
[tex]f(1) =1[/tex]
[tex]f(2) =2[/tex]
[tex]f(3) =4[/tex]
[tex]f(4) =8[/tex]
Rewrite the functions as follows:
[tex]f(1) = 2^0[/tex]
[tex]f(2) = 2^1[/tex]
[tex]f(3) = 2^2[/tex]
[tex]f(4) = 2^3[/tex]
Express 3 as 4 - 1
[tex]f(4) = 2^{4-1[/tex]
Replace 4 with n
[tex]f(n) = 2^{n-1[/tex]
Hence, the number of pennies in the nth square is [tex]2^{n-1[/tex]
Read more about pattern and sequence at:
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What the time in your region ?
Answers
Answer:
Step-by-step explanation:
2:33pm
Answer:
11:35 pm here in Dubai.....Hehe.......Jamie and Hudson took a road trip to the beach. Their total distance traveled after getting on the highway can be found using the function d(h)=55h+10, where h is the number of hours they have been driving on the highway.
1) Explain why the relationship between total distance and hours is a function.
2) Is this function continuous or discrete? Explain how you know.
3) If the girls can drive a maximum of 8 hours, what is the domain for the function? Explain your answer.
4) If the girls can drive a maximum of 8 hours, what is the range for the function? Explain your answer.
5) Create a graph that models this function. Be sure to include a title and to label your x- and y-axis with the variable names, but just x and y.
6) What is the slope of the function? What does it represent?
7) What is the y-intercept? What does it represent?
Answers
The total distance is an illustration of a linear function.
(1) Why the relationship is a function
The relationship is a function because all input values of h, have exactly one corresponding output value of d
(2) The function type
The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)
(3) The domain for a drive of 8 hours
The domain is the set of time the girls drive.
So, the domain is: [0,8]
(4) The range
The function is given as:
[tex]d = 55h +10[/tex]
When h = 0,
[tex]d = 55(0) +10 = 10[/tex]
When h = 8,
[tex]d = 55(8) +10 = 450[/tex]
So, the range is: [10,450]
(5) The graph
See attachment
(6) The slope
A linear function is represented as:
[tex]y = mx + c[/tex]
Where:
m represents the slope.
So, by comparison:
[tex]Slope = 55[/tex]
The slope in this case represents the distance travelled per hour
(7) The y-intercept
In (6) above, c represents the y-intercept.
So, by comparison:
[tex]c = 10[/tex]
The y-intercept in this case represents the initial distance
Read more about linear functions at
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-g + 2 (3 + g) = -4 (g + 1)
Answers
g+6=-4g-4
-6. -6
g=-4g-10
+g. +g
5g=-10
g=-2
what is the equation of the line that passes through the point (0, -2) with a slope of 2
Answers
Answer:
Step-by-step explanation:
You can use a fill in the blank formula called "point-slope" formula because you were given a point and the slope. But there's an even easier way because they gave you a special point. The point (0, -2) is on the y-axis. So it actually IS the y-intercept. So just in this case, you can use the slope-intercept formula as a fill-in-the-blank formula bc you were actually given the slope (we always use m for slope) and the y-intercept.
This is y = mx + b... fill in the given slope for the m, fill in the y-intercept for the b, then you're done!
y = 2x -2
PLZ HELP URGENT GET THE BRAINLIEST AND MORE POINTS
an arithmetic sequence has sixth term 15 and ninth term 16. Find its common difference. determine which term has value 22.
Answers
Answer:
The 27th term is 22Step-by-step explanation:
Let the first term is a and common difference is d.
The nth term is:
aₙ = a + (n - 1)dWe have:
a₆ = 15a₉ = 16The difference of these terms is:
(a + 8d) - (a + 5d) = 16 - 153d = 1d = 1/3Then the first term is:
a + 5*1/3 = 15a = 15 - 5/3 = 13 1/3The nth term equation is:
aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13If the nth term is 22, find n:
1/3n + 13 = 221/3n = 22 - 131/3n = 9n = 9*3n = 27help me with this math problem pleasee. I will give brainliest to the correct answer
Answers
Answer:
answer is x=15
AM=18
AB=4
1=2
2=10
3=20
8 + 2 + (1/2) + (1/8) +...... Find the sum of the infinite series.
Answers
Explain why the square root of a number is defined to be equal to that number to the 1/2 power
Answers
Answer:
Because square root is essentially the same thing as the power to a half
sqrt(x) is the same as (x)^1/2
in the figure given alongside if X=3y find the sizes of angles represented by a and b
Answers
Answer:
Step-by-step explanation:
x = 3y
x + y = 180°
3y + y = 180° ⇒ y = 45° = a
x = 3( 45° ) ⇒ x = 135° = b
The sizes of angles represented by a and b are 45 and 135 degrees.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
We are given that
x = 3y
Since we know that the linear pair is
x + y = 180°
Therefore, 3y + y = 180°
y = 45° = a
x = 3( 45° )
x = 135° = b
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(5z+5)+(7z+4) what is this confused ?
Answers
Answer:
U have to solve this equation[tex](5z + 5) \: + \: (7z + 4)[/tex]
[tex]5z + 5 - 7z - 4[/tex]
[tex]5z - 7z + 5 - 4[/tex]
[tex]2z + 1[/tex]
hope this helps you !!HOLA necesito ayuda... como puedo combertir 50% en fraccion y decimal. Y como combertir 25% en fraccion y decimal
Answers
Answer:
Step-by-step explanation:
50/100 = 1/2 or 0.5
25/100 = 1/4 or 0.25
If a transversal intersects two parallel lines then find the ratio of the number of pairs of alternate angles to the number of pairs of corresponding angles so formed
Answers
all the information given in the question.
Assume two parallel lines as 'm' and 'n'.
And name all the angles formed by the
intersection of transverse with parallel
lines. Use the property that says that the
corresponding angles and opposite angles
are equal for a pair of parallel lines.
Combine the two hence formed equations
to get the required relationship.
Complete step-by-step answer:
Here in this problem, we are given two
parallel lines and a transversal intersects it.
Now within this situation, we need to prove
that each pair of alternate angles is equal.
Before starting with the solution to the
above problem, we must draw a figure
using all the information given to us.
Alternate angles are the two angles, other lines.
So according to the above figure, we
assumed that the two parallel lines be 'm
and 'n' with one transverse cutting both of
them at two points and forming eight
angles named as <1, <2, <3, <4, <5, <6,<7 and
<8
Here we need to prove that the pair
alternate angles, i.e. <3=<5 and <4=26
As we know that the corresponding angles
between two parallel lines are equal in
measure. A corresponding angle is the
angles that occupy the same relative
position at each intersection where a
straight line crosses two others.
i.e. <2=<6,<1= <5,43=<7 and <4=<8
•(i)
Also, the opposite angles formed in the
intersection of two lines are equal in
measure,
i.e. <1=43,42= <4,46= <8 and <5=<7
.. (11)
From relation (i) and (li), we can write two
pairs as <2=<6 and <2=<4 we can say <6=<4
Similarly, if we take two pairs from (i) and (li)
aS <1=<5
and <1=<3
From these above equations, we can
conclude that <3=<5
Therefore, we get the required relation
<3=45 and <4=<6
Hence, we proved that the alternate angles
of two parallel lines intersected by a
transverse are equal in measure.
Note: Remember that the original problem
was to prove that the alternate angles are
equal for two parallel lines and an
intersecting transverse. We here used our
assumption of two lines 'm' and 'n' and a
transverse using a figure. Naming the
angles formed on the intersection of these
lines helped us to form the relations and
equations. Questions like this method are
always useful. An alternative approach can
be to use the theorem that says that the From these above equations, we can
conclude that <3=<5
Therefore, we get the required relation
<3=25 and <4=26
Hence, we proved that the alternate angles
of two parallel lines intersected by a
transverse are equal in measure.
Note: Remember that the original problem
was to prove that the alternate angles are
equal for two parallel lines and an
intersecting transverse. We here used our
assumption of two lines 'm' and 'n' and a
transverse using a figure. Naming the
angles formed on the intersection of these
lines helped us to form the relations and
equations. Questions like this method are
always useful. An alternative approach can
be to use the theorem that says that the
sum of interior angles on the same side is
supplementary
on a winter day, the maximum temperature of an island was recorded 15.5°C and the minimum temperature was recorded -2.5°C. what is the difference between the maximum and the minimum temperature on that day?
Answers
Answer:
The difference between the maximum and the minimum temperature on that day is [tex]18^0C[/tex]
Step-by-step explanation:
The maximum temperature of an island was recorded [tex]15.5^0C[/tex]
The minimum temperature was recorded [tex]-2.5^0C[/tex]
Difference in temperature
[tex]=15.5--2.5\\\\=18^0C[/tex]
Answer:
the difference between 15.5 and -2.5 is 18
Step-by-step explanation:
The cost of 5 scarves is $33.75. What is the unit price?
Answers
Answer:
$6.75
Step-by-step explanation:
Divide 33.75 by 5, they are $6.75 each
By which reason can it be proven that triangles DAB and DAC are congruent?
AAS
SSS
SSA
AAA
Answers
Answer:
AAS
Step-by-step explanation:
Answer:
AAS
Step-by-step explanation:
The national debt of a country is
$27,895,168,401,112. What is this number as a
product of a single digit and a power of 10?
Answers
Answer: [tex]3 \times 10^{13}[/tex]
Explanation:
Highlight the first digit on the very left (2). The 7 right next to it means we'll round that 2 up to a 3. Every other digit becomes a zero.
The number 27,895,168,401,112 rounds to 30,000,000,000,000 which is the number 30 trillion.
It converts to the scientific notation [tex]3 \times 10^{13}[/tex] because we basically start with 3.0 and move the decimal point 13 spots to the right to arrive at 30 trillion as shown above.
What's the Answer ~
[tex] \sf \tiny{14 + 14 \div 7}[/tex]
Answers
Step-by-step explanation:
remember the priorities of the different mathematical operations
1. brackets
2. exponents
3. multiplications and divisions
4. additions and subtractions
so,
14 + 14/7 = 14 + 2 = 16
Hey there!
14 + 14 ÷ 7
14 ÷ 7 = 2
= 14 + 2
= 16
Therefore, your answer is: 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which one of Aiko's steps makes a false assumption? Why is it false?
Aiko's Proof:
1. Draw 2 rectangles. Label one ABCD and the other PQRS
2. Translate rectangle ABCD by the directed line segment from A to P.A' and P now coincide. The points coincide because that's how we defined
our translation
3. Rotate rectangle A'B'C'D' by angle D'A'S. Segment A"D" now lies on ray PS. The rays coincide because that's how we defined our rotation.
4. Dilate rectangle A"B"C"D" using center A" and scale factor AD. Segments A"D" and PS now coincide. The segments coincide because A" was
the center of the rotation, so A" and P don't move, and since D" and S are on the same ray from A", when we dilate D" by the right scale factor, it
will stay on ray PS but be the same distance from A" as S is, so S and D' will coincide.
5. Because all angles of a rectangle are right angles, segment A'B' now lies on ray PQ. This is because the rays are on the same side of PS and
make the same angle with it (If A'B' and PQ don't coincide, reflect across PS so that the rays are on the same side of PS.)
6. Dilate rectangle A"B"C"D" using center A" and scale factor AB Segments A'"'**" and PQ not coincide by the same reasoning as in step 4.
7. Due to the symmetry of a rectangle, if 2 rectangles coincide on 2 sides, they must coincide on all sides.
Answers
Answer:
6th step is wrong
Step-by-step explanation:
We have the dilation transformations we only needed one, and that is the 6th step. It would make more sense to do the dilation transformation early in the steps and we already did these steps at the beginning.
6x² = 7xy + 20y² where x ˃ 0 and y ˃ 0
Find the ratio x : y
Answers
More Icon
STEP
1
:
Equation at the end of step 1
((6 • (x2)) - 7xy) - (22•5y2)
STEP
2
:
Equation at the end of step
2
:
((2•3x2) - 7xy) - (22•5y2)
STEP
3
:
Trying to factor a multi variable polynomial
3.1 Factoring 6x2 - 7xy - 20y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (2x - 5y)•(3x + 4y)
Final result :
(2x - 5y) • (3x + 4y)
please help with this
Answers
A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5
miles an hour in the same direction. How many hours must B travel to overtake A?
Answers
It will take B 8 hours to travel in order to overtake A.
The relationship among the distance, time and speed can be expressed by using the relation.
[tex]\mathbf{speed = \dfrac{distance}{time}}[/tex]
In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.
Here:
as speed (v) rises;time (t) decreases, and distance (d) is constantFrom the given relation:
Distance = speed × timeSo, we can have a table expressing the parameters given in the question as follows:
v t d
A 4 t+2 4t + 8
B 5 t 5t
Equating both distance together, we have:
4t + 8 = 5t
collecting like terms, we have:
4t - 5t = -8
t = 8 hours
Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.
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Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month average for monthly tips? June July August Septemper October November $133. 45 $235. 31 $239. 45 $258. 87 $298. 45 $115. 67 a. Her monthly average would have decreased by $19. 57. B. Her monthly average would have increased by $19. 57. C. Her monthly average would have increased by $2. 7. D. Her monthly average would have decreased by $2. 7. Please select the best answer from the choices provided A B C D.
Answers
Her monthly average would have decreased by $19.57 and it can be determined by using taking the average value of every month.
Given that,Katie works as a waitress and records her monthly tips in the table shown below.
June, July, August, September, October, November
$133.45, $235.31, $239.45, $258.87, $298.45, $115.67
If Katie decided not to work the month of November,
We have to determine,How would her five-month average compare to her six-month average for monthly tips?
According to the question,Katie works as a waitress and records her monthly tips in the table below.
June, July, August, September, October, November
$133.45, $235.31, $239.45, $258.87, $298.45, $115.67
To find out how not working in November would affect the average of Katie's tips.
The average of her working June until October only.
[tex]\rm Average = \dfrac{133.45 + 235.31 +239.45 + 258.87 + 298.45}{5}\\\\Average =\dfrac{ 1165.53 }{ 5}\\\\Average = 233.10[/tex]
Then, The average is with the month of November is,
[tex]\rm Average = \dfrac{133.45 + 235.31 +239.45 + 258.87 + 298.45 + 115.67}{6}\\\\Average =\dfrac{ 1281.2 }{ 6}\\\\Average = 213.53[/tex]
Therefore,
On comparing the average of her five-month average to her six-month average for monthly tips is,
[tex]233.10 - 213.53 = 19.57[/tex]
The average will decrease because 213.53 is less than 233.10.
Therefore, Her average will decrease by $19.57.
Hence, Her monthly average would have decreased by $19.57.
For more details about the Average value refer to the link given below.
https://brainly.com/question/8916264
Answer:
b
Step-by-step explanation:
Ethan was simplifying 3xl(-2xl + 1)2 State and correct the error below
3xl(-2x1 + 1)
(-6x²/²+3x1²
(-6x?[2 + 3x1)(-6x12 + 3xl)
-36X414 - 18x13 – 18x13 + 9x²12
-36X*1* 36x12 + 9x212
-36x* (1) – 36x®(-1) + 9x?(-1)
36x4 + 36x°– 9x2
Answers
17) The growth of a certain bacteria colony is modeled by the function y = 100(1.20)*. Which statements are
correct?
A)
B)
100 is the initial number of bacteria.
x is the growth factor.
This is an exponential function.
1.20 is the number of time intervals.
D)
E)
y equals the final number of bacteria.
C)
Answers
Answer:
the corect answers is d and c
Step-by-step explanation:
Answer: B D E
Step-by-step explanation: I got it right on usetestprep
A line with the slope of -4 passes through the point (8,-3). What is the equation in point slope form
Answers
The slope is given already so it will be :
Y=-4x+c
Now you can find C by replacing the given points
-3=-4(8)+c
C=9
Final answer is :
Y= -4x+9
(4z^7+1/z^7)^2 how do i solve this?
Answers
Answer:
if i am correct this is the formula you asked?
[tex](4z^7+\frac{1}{z}^7)^2[/tex]
Step-by-step explanation:
the answer is
[tex](\frac{(4z^{14} +1)^2}{z^{14} } )[/tex]
if i put the wrong equation tell me so i can do it again
:)
Sports science researchers determined that, for those people who skateboard, 22% have never had an injury, 45% have had one injury, 18% have had two injuries, and 15% have had three or more injuries. What is the probability that a randomly chosen skateboarder has had at least one injury?
0.22
0.45
0.50
0.78
Answers
Answer: D) 0.78
Step-by-step explanation:
Add all the given probabilities to find the answer:
45/100 + 18/100 + 15/100 = 78/100 = 78% or 0.78
Colby worked three more hours
on Tuesday than he did on Monday. On
Wednesday, he worked one hour more
than twice the number of hours that he
worked on Monday. If the total number
of hours is two more than five times the
number of hours worked on Monday,
how many hours did he work on
Mondav?
Answers
Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!
Answers
Answer:
The awnser should be 4. (3x4 = 12, 12 x 4 = 48, 48 x 12 = 192, 192 x 4 = 768. )
Step-by-step explanation:
(Hope this helps, Happy holidays!!)