An expression to show how many books would be on each table is a/10
To find out how many books would be on each table, we need to divide the total number of books by the number of tables.
First, let's express the total number of books in terms of a and d. Since we are not given any specific numbers for a and d, we can simply use variables to represent them. Therefore, the total number of books is given by a.
Next, we need to divide a by 10, the number of tables. This gives us the expression:
a/10
So, the above expression shows how many books would be on each table if Mrs. Marcus combines her books and magazines and then divides them among 10 different tables.
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Complete question is:
Mrs. Marcus combines her atlases and dictionaries and then divides them among 10 different tables. If a represents the number of atlases and d represents the number of dictionaries Mrs. Marcus has, write an expression to show how many books would be on each table.
please help me with this question thank you
The difference between the adjustable-rate mortgage (ARM) and the fixed-rate mortgage is $176,494.80.
How to find the difference ?First, find the total amount paid on the adjustable-rate mortgage would be :
= ( 5 years x 12 months x 2, 506.43 payment ) + ( 10 x 12 x 3, 059. 46 ) + ( 5 x 12 x 3, 646.76) + ( 5 x 12 x 3, 630.65 )
= $ 1, 172, 971. 20
Then we can find the total payment for the fixed - rate mortgage :
= Monthly payment x Number of years
= 2, 767. 99 x 30 years x 12 months
= $ 996, 476. 40
The difference is:
= 1, 172, 971.20 - 996, 476. 40
= $ 176,494. 80.
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I know I asked this before but i need help asap
Answer:
15h-6k+12m
Step-by-step explanation:
The perimeter of the triangle is the sum of all of its side lengths
P=a+b+c
If a=5h-4k
b=10h+7m
c=5m-2k
Then the formula would be
P=(5h-4k)+(10h+7m)+(5m-2k)
P=15h-6k+12m
Hope this helps!
help struggling pealse if do brainliest!
Based on the data in the table, if Colin draws a marble 336 times, he predicts a yellow marble will be drawn roughly 63 times, but probably not exactly 63 times.
Based on the data in the table, if Colin draws a marble 216 times, he predicts a white marble will be drawn roughly 2 times that a purple marble will be drawn.
What is the number of times the yellow marble can be drawn?If Colin draws a marble x times, he predicts a yellow marble will be drawn roughly 63 times.
The number of times = 63 / 3/16)
The number of times = 336 times.
If Colin draws a marble 216 times,
Number of times he can draw a white marble = 216 * 1/4
Number of times he can draw a white marble = 54 times
Number of times he can draw a purple marble = 216 * 1/6
Number of times he can draw a purple marble = 36 times
The number of times a white marble can be drawn more than a purple marble = 54/36 or 1.5 times more
The number of times a white marble can be drawn more than a purple marble is approximately two times.
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What is 0 + 0? Please help I wont pass kinder garden :(
Answer:
Step-by-step explanation: 0+0=0
Answer:
0
Step-by-step explanation:
0+0= nothing that why.
Please help me l don’t understand new topic
Answer:
(x-3)(x+4)
Step-by-step explanation:
This way is how it s done in Greece. If u don't understand don't read the explanation Δ=β2-4αγ=81-32=49
χ1,2=-1+-7^2=3
=-4
5. Find the area of the kite.
18 m
-21 m-
Answer: 189 m^2
Step-by-step explanation:
Area = (Diagonal 1 x Diagonal 2) ÷ 2
Alicia took a friend for a birthday dinner. The total bill for dinner was $44.79 (including tax and a tip). If Alicia paid a 21.6% tip, what was her bill before adding the tip?
(Round your answer to the nearest cent.)
Answer: 27.33
Step-by-step explanation: If you use a calculator to do the hard stuff the rest is a breeze
Find the amount that results from the given investment.
$700 invested at 4% compounded daily after a period of 4 years
After 4 years, the investment results in $.
(Round to the nearest cent as needed.)
C
After 4 years, the investment of $700 at 4% compounded daily results in a future value of $821.45.
How is the future value determined:The future value represents the present value or investment compounded at an interest rate periodically for a certain number of years.
The future value can be determined using the FV formula or an online finance calculator.
N (# of periods) = 1,460 days (4 years x 365)
I/Y (Interest per year) = 4%
PV (Present Value) = $700
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $821.45
Total Interest = $121.45
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The estimated population of a certain city over time is given in the table below. Answer the questions below to determine what kind of function would best fit the data, linear or exponential.
Number of Years Since Last Census, x
1
2
3
4
Estimated Population, f(x)
49,372
58,207
66,998
75,798
function would best fit the data because as x increases, the y values change
. The
of this function is approximately
.
A linear function would best fit the data because as x increases, the y values change by an approximate constant. The rate of change of this function is approximately 8950 people a year.
How to determine that it is a linear functionTo determine which type of function best fits the data, we can analyze the difference in the y values (Estimated Population) as x increases.
Differences between consecutive y values:
58,207 - 49,372 = 8,835
66,998 - 58,207 = 8,791
75,798 - 66,998 = 8,800
The differences between consecutive y values are relatively constant as x increases. This suggests that a linear function would be more appropriate than an exponential function
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I need help figuring out this answer
The proof that angles D and E are congruent is added below
Proving that angles D and E are congruentFrom the question, we have the following parameters that can be used in our computation:
∠CDB and ∠CEB are inscribed in a circle A.
The general rule is that angles that are inscribed in the same arc are congruent.
So, we have the following two column proof
Statements Reasons
∠CDB = ∠CEB Given
Segments BD = CE CPCTC
Segments BE = CD CPCTC
Arcs BE = CD Corresponding arcs
∠D = ∠E Corresponding angles
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PLS HELP ASAP
I AM SO CONFUSED WID THIS!
The numbers 1-20 are written on pieces of paper and put in a box. Two pieces of paper are randomly selected and not replaced.
a) Are the events dependent or independent? _________
b) What is the probability of selecting a number less than 6 both times? ________
the probability of selecting a number less than 6 both times is 1/19 or approximately 0.0526.
how to find probability ?a) The events are dependent because the selection of the first number affects the probability of selecting a number less than 6 on the second draw.
b) To calculate the probability of selecting a number less than 6 both times, we need to first find the probability of selecting a number less than 6 on the first draw and then the probability of selecting a number less than 6 on the second draw given that a number less than 6 was selected on the first draw.
The probability of selecting a number less than 6 on the first draw is 5/20, or 1/4, since there are 5 numbers less than 6 (1, 2, 3, 4, and 5) out of 20 total numbers.
Given that a number less than 6 was selected on the first draw, there are only 4 numbers less than 6 left in the box out of a total of 19 remaining numbers. So, the probability of selecting a number less than 6 on the second draw is 4/19.
To find the probability of both events occurring, we multiply the probabilities:
P(selecting a number less than 6 both times) = P(selecting a number less than 6 on the first draw) × P(selecting a number less than 6 on the second draw given that a number less than 6 was selected on the first draw)
P(selecting a number less than 6 both times) = (1/4) × (4/19) = 1/19
Therefore, the probability of selecting a number less than 6 both times is 1/19 or approximately 0.0526.
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If cos(x) = -5/6, x in quadrant II, then find exact values (without finding x):
sin(2x)= ?
cos(2x)=?
tan (2x)=?
If cos(x) = -5/6, and x lies in quadrant"II", then exact values are:
sin(2x) = (-5√11)/(18);
cos(2x) = 7/18;
tan (2x) = -5√11/7.
We know that, Cos(x) = -5/6 and "x" is in quadrant II, so, we can use the Pythagorean identity to find sin(x):
sin(x) = √(1 - cos²(x)) = √(1 - (-5/6)²) = √(1 - 25/36) = √(11/36) = √11/6
Using the double angle trigonometry identities for sine and cosine, we find sin(2x) and cos(2x):
Substituting the value of Sin(x) and Cos(x),
We get,
sin(2x) = 2sin(x)cos(x) = 2(√11/6)(-5/6) = (-5√11)/(18);
cos(2x) = cos²(x) - sin²(x) = (-5/6)² - (11/6) = 25/36 - 11/36 = 14/36 = 7/18;
Finally, we find tan(2x) by using the identity:
tan(2x) = sin(2x)/cos(2x) = (-5√11/18) / (7/18) = -5√11/7.
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If the number 48700 is written in scientific notation, it will be in the form 4.87×10n. What is the value of n?
If the number 48700 is written in scientific notation, it will be in form 4.87×10ⁿ, and the value of n is 4.
What is scientific notation?Scientific notation describes the shorthand way of writing very large or very small numbers in standard forms.
Writing in scientific notation, a number between 1 and 10 is multiplied by a power of 10.
48700 = 4.87×10ⁿ = 4.87×10⁴
Thus, the n represents the exponent of power 10 to which the number is reduced.
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Find the area and central angle of the polygons given the apothem or side length. Thank you.
The missing parameters of the regular polygons are listed below:
Case 1: θ = 45°, a = 10.864 cm
Case 2: θ = 72°, s = 5.812 cm
How to compute parameters of regular polygons
In this problem we must determine missing parameters of regular polygons, that is, polygons with sides of equal length. All parameters are summarized below:
Central angle
θ = 360 / n
Relationship between apothema and side length
a = s / [2 · tan (180 / n)]
Where:
n - Number of sidesa - Apothemas - Side lengthNow we proceed to find missing parameters:
Case 1: s = 9 cm, n = 8
θ = 360 / 8
θ = 45°
a = (9 cm) / [2 · tan (180 / 8)]
a = 10.864 cm
Case 2: a = 8 cm, n = 5
θ = 360 / 5
θ = 72°
s = 2 · a · tan (180 / n)
s = 2 · (8 cm) · tan (180 / 5)
s = 5.812 cm
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what is the answer? compute the following integral.
The integral for this problem has the result given as follows:
[tex]\int_2^5 -8f(x) dx = 168[/tex]
How to solve the integral?The integral over the largest region for this problem is given as follows:
[tex]\int_2^9 f(x) dx = -14[/tex]
The integral can be divided into two smaller regions, as follows:
[tex]\int_2^9 f(x) dx = \int_2^5 f(x) dx + \int_5^9 f(x) dx[/tex]
Hence the integral from x = 5 to x = 9 is given as follows:
[tex]-14 = \int_2^5 f(x) dx + 7[/tex]
[tex]\int_2^5 f(x) dx = -21[/tex]
Multiplying -21 by -8, the result of the integral is given as follows:
[tex]\int_2^5 -8f(x) dx = 168[/tex]
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Which expression represents the volume of a shipping box? s(2^3) (8 + 2)3 (8x2)3 8+23
As a result, the right response is s(23), which can be written as [tex]8s^3[/tex] as to calculate a shipping box's volume is based on the box's dimensions.
what is volume ?A tri object's volume is a measurement of how much space it takes up. The usual measurement tool is a cubic unit, such as a cubic metre (m3) or cubic foot (ft3). The formula used to determine a solid item's volume depends on the shape of the object. For instance, the volume of a cube is determined by multiplying the length of a single of its sides by six, whereas the capacity of a cylinder is determined by dividing the area of its base by the diameter. Engineering, mathematics, and architecture are just a few of the disciplines where the idea of volume is crucial.
given
The formula used to calculate a shipping box's volume is based on the box's dimensions.
The box's volume can be expressed as follows if its side length is s:
[tex]V = s^3[/tex]
As a result, the right response is s(23), which can be written as [tex]8s^3[/tex] as to calculate a shipping box's volume is based on the box's dimensions.
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. When completed, the Crazy Horse Monument in South Dakota will be 563 ft high. The monument is based on a 16-foot-tall scale model of the structure. What is the scale used in the construction?
Based on the information, we identified that the scale used in the construction is approximately 1:35.2.
How to find the scale?To find the scale used in the construction of the Crazy Horse Monument, we need to divide the height of the actual monument by the height of the model. Let's use the following formula to calculate the scale:
scale = (height of actual monument) / (height of scale model)The height of the actual monument is 563 feet and the height of the scale model is 16 feet. Substituting these values in the formula, we get:
scale = 563 feet / 16 feetSimplifying the fraction, we get:
scale = 35.1875Therefore, the scale used in the construction of the Crazy Horse Monument is approximately 1:35.2.
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A triangle is translated by using the rule (x,y) → (x-4.y+1). Which describes how the figure is moved?
O four units left and one unit down
O four units left and one unit up
O one unit right and four units down
O one unit right and four units up
Mark this and return
Save and Exit
Next
Submit
Answer:
Four units left and one unit up
Step-by-step explanation:
Since we're subtracting from x, the figure is going to go toward the left side of the coordinate plane, and since we're adding to y, the figure is going to go up.
HELPP ASAAP 15 POINTSSS
In the picture below\
in^3 (hint)
The volume of each cup shown above are as follows;
Volume of small cup = 50.24 in³.
Volume of medium cup = 127.56 in³.
Volume of large cup = 226.08 in³.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the parameters, we have:
Volume of small cylinder, V = 3.14 × 2² × 4
Volume of small cylinder, V = 50.24 in³.
Volume of medium cylinder, V = 3.14 × 2.5² × 6.5
Volume of medium cylinder, V = 127.56 in³.
Volume of large cylinder, V = 3.14 × (6/2)² × 8
Volume of large cylinder, V = 226.08 in³.
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Edgar accumulated $7,000 in credit card debt. If the interest rate is 50% per year and he does not make any payments for 5 years, how much will he owe on this debt in 5 years by compounding continuously?
Using the continuously compounded interest formula, the amount of debt owed after 5 years is $ 8988.18
What is continous compounding interest formula?The continuous compounding interest formula is given by P = Peⁿˣ where
P = final amount after time, t, P' = initial amount n = interest rate and x = timeSince Edgar accumulated $7,000 in credit card debt. If the interest rate is 50% per year and he does not make any payments for 5 years, how much will he owe on this debt in 5 years by compounding continuously? To determine that, we use the continuously compounded interest formula.
Given that
P' = $7000n = 50% per year = 0.5 per year andx = 5 yearsSubstituting the values of the variables into the equation, we have that
P = Peⁿˣ
P = $7000e⁰°⁵ ˣ ⁵
P = $7000e⁰°²⁵
P = $7000(1.28)
P = $ 8988.18
So, the amount of debt owed is $ 8988.18
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The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
The scale factor between a square of dimensions 7 by 7 and a scaled copy of dimensions 21/2 by 21/2 is 3/2 or 1.5.
We know that the dimensions of the square on the left are 7 by 7, and the dimensions of the square on the right are 21/2 by 21/2.
To find the scale factor, we can divide the dimensions of the square on the right by the dimensions of the square on the left
scale factor = (21/2) / 7
We can simplify this fraction by dividing both the numerator and the denominator by the greatest common factor, which is 7
scale factor = (21/2) / 7 = (21/2) * (1/7) = 3/2
Therefore, the scale factor is 3/2, or 1.5.
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Which of the following points represents a striking deviation in the box plot above?
A.
P
B.
R
C.
S
D.
Q
Answer:
A. P
Step-by-step explanation:
You want to identify the point that represents a striking deviation in the given box plot.
IQRThe interquartile range for this box plot is the difference between the upper and lower quartiles:
29 -26 = 3
OutlierThe "fence" that is 1.5 times the IQR below the lower quartile is ...
26 -3·1.5 = 21.5
Point P lies beyond this fence, so is considered an outlier in the data set.
Point P represents a striking deviation, choice A.
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A local supermarket offers a pack of 12 sodas for $3.48 on sale, and the local discount warehouse offers the soda in a 36-can case for $11.52. Which is the better value?
If local supermarket offers a pack of 12 sodas for $3.48 on sale, and the local discount warehouse offers the soda in a 36-can case for $11.52, In terms of price per soda, the supermarket pack is the better value.
To determine which is the better value between the supermarket pack of 12 sodas for $3.48 and the discount warehouse 36-can case for $11.52, we need to calculate the price per soda for each option.
For the supermarket pack, the price per soda can be found by dividing the total cost by the number of sodas in the pack:
Price per soda = $3.48 / 12 = $0.29
For the discount warehouse case, the price per soda can be found by dividing the total cost by the number of sodas in the case:
Price per soda = $11.52 / 36 = $0.32
From these calculations, we can see that the price per soda is lower for the supermarket pack at $0.29 compared to $0.32 for the discount warehouse case. Therefore, in terms of price per soda, the supermarket pack is the better value.
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Pythagorean theorem - Missing sides
Pls help me I need your help to my homework
If you help me, I help you too I promise
-3x+6y-2z=5 7x+2y+9z=19 -x+y-z=0
Answer:
x = 7, y = 3, z = -4
Step-by-step explanation:
Overview
Question Progress
1/3 Marks
11
12
13
14
Homework Progress
27/30 Marks
At a school there are five lessons in a day.
In total, the five lessons last for 4 hours.
a) Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?
Optional working
+ Answer:
b) In fact, the first lesson of the day is shorter than the other lessons.
The other lessons last the same amount of time.
What does this tell you about the length of the final lesson?
A It is shorter than the answer to part a)
B It is the same as the answer to part a)
C It is longer than the answer to part a)
minutes
Submit Answering
Time taken by final lesson is 48 minutes and time consumption will not be affected if first lesson takes less time to finish.
Given that;
The time to finish five lessons = 4 hours
Then one lesson takes = 4/5 hours to finish
(a) Since each lesson takes equal amount of time
Therefore,
The time taken by final lesson in minutes = (4/5)x60
= 48 minutes
(b) Since each lesson has own capacity of time so the time consumption for other lesson is not affected if first lesson takes less time.
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help nowwwwwwww PLSSSS
Answer: y = -|x + 1| + 1
Step-by-step explanation:
This is a "V" shaped graph, so we know it uses the absolute value function. This is the parent function:
y = |x|
This represents the possible transformations:
➜ a is amplitude
➜ h is horizontal shift
➜ k is vertical shift
f(x) = a | x - h | + k
Next, we see it is shifted one unit upwards.
y = |x| + 1
Then, we see it is also shifted one unit left.
➜ Note that this shift is -h units, so we will use positive for moving left.
y = |x + 1| + 1
Lastly, we see this graph is flipped and has a negative slope, or amplitude.
y = -|x + 1| + 1
PLEASE SOLVE THIS QUICKLY!!!!!
The ratio of the two arc lengths is equal to a / b. (Correct choice: B)
How to find the ratio of two arc lengths
In this problem we must determine the ratio of two arc lengths, that is, the ratio between two circular arcs. The length of a circular arc is described by the following expression:
s = θ · r
Where:
s - Arc length
θ - Angle, in radians.
r - Radius
And the ratio of the length JK to the length MN is:
JK / MN = (θ · a) / (θ · b)
JK / MN = a / b
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Apply the repeated nearest neighbor algorithm to the graph above. Starting at which vertex or vertices produces the circuit of lowest cost?
The vertices that produces the circuit of lowest cost is A and D. So, the correct answer is A) and D).
To apply the repeated nearest neighbor algorithm, we need to start at a vertex and repeatedly choose the nearest neighbor until all vertices have been visited. Then, we return to the starting vertex to complete the circuit.
Starting at vertex A, we can follow the path A-DE-BE-C-AD-BC-E-A. The total cost of this circuit is 3 + 1 + 13 + 7 + 6 + 5 + 3 = 38. Starting at vertex B, we can follow the path B-E-DE-BC-AD-C-A-B. The total cost of this circuit is 1 + 3 + 7 + 6 + 5 + 15 + 10 = 47.
Starting at vertex C, we can follow the path C-BC-AD-DE-E-B-CA-C. The total cost of this circuit is 5 + 6 + 1 + 13 + 3 + 15 = 43. Starting at vertex D, we can follow the path D-AD-BC-C-E-DE-BD-DA. The total cost of this circuit is 6 + 5 + 7 + 3 + 10 + 11 = 42.
Starting at vertex E, we can follow the path E-DE-BE-C-BC-AD-CA-E. The total cost of this circuit is 1 + 13 + 7 + 5 + 6 + 15 = 47. Therefore, the circuits with the lowest cost are those starting at vertex A and vertex D, both with a total cost of 38 and 42 respectively. So, the correct option is A) and D).
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What is the perimeter of the regular pentagon?
Answer:
To find the perimeter of a regular pentagon, you need to know the length of one side and the number of sides. In a regular pentagon, all sides have the same length and the shape has 5 sides.
Let's say the length of one side of the regular pentagon is 's'.
The formula for the perimeter of a regular pentagon is:
Perimeter = 5s
This is because a regular pentagon has 5 sides of equal length, so you can simply add the length of each side together 5 times.
Therefore, the perimeter of a regular pentagon with a side length 's' is 5s.
Step-by-step explanation: