The count of numbers in the list a, a+1, a+2.... b is b - a + 1
How to determine the count of numbers in the list a, a+1, a+2.... b?The list of numbers is given as:
a, a+1, a+2.... b
From the above list, we can see that the numbers are consecutive numbers.
This means that, the count of numbers in the list is
Count = Highest - Least + 1
Where
Highest = b
Least = a
Substitute the known values in the above equation
Count = b - a + 1
Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1
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What is foreshortening?
a.
a technique used to create light and shadow
b.
a technique used to create depth in an image
c.
a technique that draws attention to the foreground
d.
a technique of shading with black pencil
Please select the best answer from the choices provided
A
B
C
D
Answer:
c
Step-by-step explanation:
Foreshortening is a technique used in perspective to create the illusion of an object receding strongly into the distance or background.
Foreshortening is a technique used to create the illusion of depth and three-dimensionality in a two-dimensional image.
Option B is the correct answer.
What is foreshortening?Foreshortening is a technique used in art to create the illusion of depth and three-dimensionality in a two-dimensional image.
It involves distorting the shapes of objects or figures to make them appear closer or farther away from the viewer, often by shortening the lengths of their features or changing the angle from which they are viewed.
Foreshortening is often used in drawing, painting, and other visual arts to create a sense of perspective and realism.
We have,
Foreshortening is a technique used to create the illusion of depth and three-dimensionality in a two-dimensional image.
It involves distorting the shapes of objects and figures to make them appear closer or farther away from the viewer, often by shortening the lengths of their features or changing the angle from which they are viewed.
Foreshortening can be used in drawing, painting, and other visual arts to create a sense of perspective and realism.
Thus,
Foreshortening is a technique used to create the illusion of depth and three-dimensionality in a two-dimensional image.
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Which two tables represent the same function
Answer:
A and D
Step-by-step explanation:
Let's find the slope of the functions in all tables.
A. -1/2
B. -1/2
C. -1/2
D. 1
E. -1/2
Option D. is out since it has a different slope.
The answer has to be two tables out of A, B, C, and E.
Start with Table A.
As x goes from 8 to 6, y goes up by 1.
We can create points for x = 0 and x = 2
x = 2, y = 9
x = 8, y = 6
This is exactly table D.
Answer: Tables A and D
Work out the upper quartile of this list of numbers: 3,4,1,2,9
Answer:
23 24
it is the answer it is answered
JD Scott I have no idea how to go but she is kind I don't really care about
Aspen has 306 green beads and 210 silver beads. For every 5 cm of a belt that Aspen sews,
they use 40 green beads and 24 silver beads.
After how many centimeters of the belt will Aspen have equal numbers of green and silver
beads left?
Answer:
30 cm
Step-by-step explanation:
every 5 cm of a belt, 16 more green beads are used.
there are 96 more green beads than silver, so it will take 6 5 cm belts in order to have equal numbers of green and silver beads left
Answer:
Step-by-step explanation:
After Aspen sews 30 cm of the belt, they have equal numbers of green and silver beads left. ANSWER:30
The probability of buying a movie ticket with a popcorn coupon is 0.629 and without a popcorn coupon is 0.371. If you buy 29 movie tickets, we want to know the probability that more than 16 of the tickets have popcorn coupons.
Consider tickets with popcorn coupons as successes in the binomial distribution. Do not include p= in your answer.
Answer:
Step-by-step explanation:
The probability and the parameter
Step-by-step explanation:
The formula for probability in a binomial distribution is where p is the probability of success (ticket with popcorn coupon), n is the number of trials (tickets bought) and x the number of successes desired. In this case p=0.629 (probability of buying a movie ticket with coupon), n=29, and x=17,18,19, ...29.
The probability of more than 16 is equal to the sum of the probability of x=17, 17,18,19, ...29.
Find the interquartile range of the following data set.
Number of Points Scored at Ten Basketball Games
48, 26, 31, 50, 38, 40, 42, 34, 44, 36
3
8
6
10
The interquartile range of 48, 26, 31, 50, 38, 40, 42, 34, 44, 36, is: D. 10.
What is the Interquartile Range of a Data Distribution?The interquartile range of a data distribution is determined as: upper quartile (Q3) - lower quartile (Q1).
How to Find the Upper Quartile and Lower Quartile of a Data Distribution?The upper quartile of a data distribution is the center of the second half of a data distribution while the lower quartile is the center of the first half of a data distribution.
Given the data, 48, 26, 31, 50, 38, 40, 42, 34, 44, 36:
Order the data set as, 26, 31, 34, 36, 38, 40, 42, 44, 48, 50
The first half of the data is: 26, 31, 34, 36, 38.
The center is 34.
Lower quartile (Q1) = 34.
The second half of the data is: 40, 42, 44, 48, 50. The center is 44.
Upper quartile (Q3) = 44.
Interquartile range = 44 - 34
Interquartile range = 10
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why kilogram is more appropriate unit than milligram?
Step-by-step explanation:
that question is fundamentally wrong.
"appropriate" completely depends on the situation and circumstances.
if we are dealing with a weight that a human can feel, lift and distinguish from other weights without any special tool, then we are usually using kg. because then we humans can "connect" with the case, and deal with every day numbers.
if we are dealing with tiny little quantities like dosages of substances in a pill or other medication, then milligram is more than "appropriate".
because then, as humans, we are still dealing with numbers we can understand. like tens or hundreds.
if we kept kg in such situations, we would have to deal with numbers like 0.000008 kg vs. 0.000021 kg, where we could not see the magnitude of difference right away.
if g(x)=-2f(x), whats the right graphing
Answer:
IT HAS A SLOPE OF -2
Y INTERCEPT IS 0,0
Step-by-step explanation:
In the given figure,
XZ¯= 14 and YZ¯= 3. Find the measure of XY¯.
Answer: 11
Step-by-step explanation:
XY + YZ = XZ
XY + 3 = 14
XY = 11
A map uses a scale of 1
cm = 5½ miles. In actual
distance, the entrances to
two parks are 24 miles
apart. How far apart are
they on the map?
Answer:
3.36 cm
Step-by-step explanation:
24 - 5 1/2 = 18.5
To find the distance on the map, we can set up a proportion:
1 cm / 5.5 miles = x cm / 18.5 miles
5.5 times 37/11 equals to 18.5; 1 times 37/11 is approximately equals to 3.36 cm (rounded to the nearest hundredths).
Anyone know the answer to this?
Answer: y = 3x+5, 3, (-1,2)
Step-by-step explanation:
y = mx + c where m is the slope, so we must find the slope
Slope = rise/run = (5-2)/(0-(-1)) = 3
So y = 3x + c
To find c, we have to substitute one of the coordinates on the graph into the equation, (-1,2), the point that is marked
2 = 3(-1) + c
c = 5
So the equation of the graph is y = 3x + 5
If 7 and 9 are the remainders when 98 and 165
respectively, are divided by a positive integer a, then a =
Answer:
Step-by-step explanation:
98-7=91
165-9=156
(91/156)/13=7/12
Answer = 13
It is divided by a positive integer a, which will equal the number 13.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the data provided by the question,
The number are 98 and 165.
The remainders are 7 and 9.
So, the actual number is,
98 - 7 = 91 and,
165 - 9 = 156
They are divided by the number 13, so the value of a will be equal to 13.
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three hens lay 3 eggs any 3 days. in how many days will 3n hens lay at this rate 9nk eggs? please i need answer fast!!! will give brainliest!
If three hens lay 3 eggs any 3 days. The number of days that 3 Hens give in 9 eggs is: 9days.
Number of days that three hens lay 9 eggsGiven:
3 hens lay 3 eggs in 3 days
First step is to determine the number of egg one hen lay in 3 days
1 hen in 3 days lays 3/3
1 hen in 3 days lays=1 egg
Second step is to determine the number of egg 3 hens lay 1 day
1 hen in 1 day lays 1/3 egg
3 hens in 1day lay=(1×3)/3
3 hens in 1day lay=1 egg
Third step is to determine the number of eggs 3 hens lay in 9 days
3 hens in 9 days lay=(1×9)
3 hens in 9 days lay=9 eggs
Therefore assuming three hens lay 3 eggs any 3 days. The number of days that 3 Hens give in 9 eggs is: 9days.
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The perimeter of a football field is 1040 feet. The length of the field is 120 feet less than 3 times the width. What are the dimensions of the field?
Answer:
length: 360 ftwidth: 160 ftStep-by-step explanation:
The perimeter formula and the given relation between length and width can be used to write and solve an equation for the field dimensions.
SetupLet w represent the width of the field. Then (3w-120) is the length of the field, and its perimeter is ...
P = 2(L +W)
1040 = 2((3w-120) +w)
SolutionDividing by 2 and simplifying, we have ...
520 = 4w -120
130 = w -30 . . . . . . divide by 4
160 = w . . . . . . . . . add 30
3w-120 = 3(160) -120 = 360 . . . the field's length
The dimensions of the field are 160 feet long by 360 feet wide.
Draw out a two column proof for each problem below. Complete all problems on one page and upload ONE photo of the entire assignment Make sure your file/image is clear (not blurry) and easy to read. Problem 1. Congruent Triangle Proof (10 Points) Given: NQ is the bisector of MNP and NMQ ~ ZNPQ| Prove: A MNQA PNQ 0 Problem 2. Proof Involving CPCTC (14 Points) Given: S is the midpoint of QR QR PS and RSP and QSP are right angles. Prove: PR PQ S 0
Two or more triangles are congruent if on comparison, they have equal lengths of sides, and measure of angles.
Therefore, the required proofs for each question are shown below:
Problem 1:
Congruent triangles are triangles with equal lengths of corresponding sides and measures of internal angles.
Thus,
STATEMENT REASON
1. <NMQ ≅ <NPQ Any point on a perpendicular bisector
makes equal measure of angle with the
two ends of the line segment.
2. NQ ⊥ MP Definition of a line.
3. MQ ≅ PQ Equal segments of a bisected line.
4. MN ≅ PN Any point on a perpendicular bisector
is at the same distance to the
two ends of the line segment.
5. <MNQ ≅ <PNQ Equal measure of the bisected angle.
Problem 2:
A line segment is the shortest distance between two points.
STATEMENTS REASONS
1. m<PSR ≅ m<PSQ A perpendicular bisector is always at a right
angle to the bisected line segment.
2. m<RPS ≅ m<QPS Equal measure of the bisected angle.
3. RS ≅ QS Property of a bisected line segment.
4. PR ≅ PQ Any point on a perpendicular bisector
is at the same distance to the two ends of
the line segment.
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What is the range of the function f(x) = 2x^2 + 2 over the interval of -2 ≤ x < 5?
Answer:
10 ≤ f(x) < 52
Step-by-step explanation:
the range is the values of f(x) given by the domain - 2 ≤ x < 5
substitute the end points of the interval into f(x)
f(- 2) = 2(- 2)² + 2 = 2(4) + 2 = 8 + 2 = 10
f(5) = 2(5)² + 2 = 2(25) + 2 = 50 + 2 = 52
then range is 10 ≤ f(x) < 52
which theorem can be used to show that LABC is to LDEC
Find the volume of the figure
h=9.5', r=1.8'
Answer:
Volume=96.7
Step-by-step explanation:
V=πr^2h=
V=π·1.8^2·9.5=
96.69822
1) La suma de dos números es 58. Si uno de los números es 12 más que el otro
número,
cuáles son los números?
Answer:
Los números son 23 y 35.
Step-by-step explanation:
Q: The sum of two numbers is 58. If one of the numbers is 12 more than the other number, what are the numbers?
Set the numbers as x and y. Using the given information, we have two equations:
x+y=58
x=y+12
Solving using substitution, we have:
y+y+12=58 -> y=23
Substituting, x=23+12=35
The numbers are 23 and 35.
A participant in a medical study walked 10,388 steps per day. If their
steps are 2.5 feet per step, how many kilometers would they walk in aweek if they took 10,388 steps per day? Round to the nearest kilometer.
Do not include units with your answer.
Answer:
55.4068881439
Step-by-step explanation:
Lets first find the feet they walk per day, multiply the steps by the feet/step:
[tex]10,388*2.5=25970[/tex]
Now lets find the feet/week by multiplying that value by 7:
[tex]25970*7=181790[/tex]
Now lets convert the feet to km:
[tex]181790/3281=55.4068881439[/tex]
Resulting in approximately 55 kilometers
The idea of a rigid motion is a significant concept in geometry. Explain what a rigid motion is and why it is essential. Using the diagram below, identify the specific rigid motions used for the following shapes.
A rigid motion is a type of motion in which all points on a given object move at the same time, in the same direction, and cover the same distance.
A rigid motion is a type of motion in which all points on a given object move at the same time, in the same direction, and cover the same distance. It is an essential type of motion used in geometry due to the rigid transformation of objects considered in the topic.
Rigid transformation is a method required to change the position, size, orientation, or dimensions of a given shape. This implies that the given shape (object) undergoes the appropriate transformation into its image. Types of rigid transformation are translation, rotation, dilation, and reflection.
Considering the given question, the quadrilateral performed a rigid motion. This was done by first reflecting it about the vertical axis, and now translating it 2 units downwards towards the horizontal axis.
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Which graph shows a system with no solutions?
Graph A
Graph B
y
201
OA. Graph B
OB. Graph C
OC. Graph A
5
5
Graph C
Y
5
5+
y=2x-1
5
2y=4x-2
Answer:
i belive its graph B
What is the answer?im having trouble
Answer:
130
Step-by-step explanation:
let the inside value be,x
x+30°+20°=180°(Being sum of interior angle of triangle)
or,x+50°=180°
or,x=180°-50°
or,x=130°
Now,
let the exterior angle be,a
a=x(VOA)
a=130°
Therefore the value of a is 130°.
Consider an urn containing 8 white balls, 7 red balls and 5 black balls.
1)Randomly select 2 balls without replacement. The probability of getting 2 white balls is equal to:
2)Randomly select 5 balls without replacement. the probability of getting 2 white balls is equal to:
3) randomly select 150 balls with replacement. The probability of getting at least 72 white balls is:
Answer + Step-by-step explanation:
1) The probability of getting 2 white balls is equal to:
[tex]=\frac{8}{20} \times \frac{7}{19}\\\\= 0.147368421053[/tex]
2) the probability of getting 2 white balls is equal to:
[tex]=C^{2}_{5}\times (\frac{8}{20} \times \frac{7}{19}) \times (\frac{12}{18} \times \frac{11}{17} \times \frac{10}{16})\\=0.397316821465[/tex]
3) The probability of getting at least 72 white balls is:
[tex]=C^{72}_{150}\times \left( \frac{8}{20} \right)^{72} \times \left( \frac{7}{20} \right)^{78} +C^{73}_{150}\times \left( \frac{8}{20} \right)^{73} \times \left( \frac{7}{20} \right)^{77} + \cdots +C^{149}_{150}\times \left( \frac{8}{20} \right)^{149} \times \left( \frac{7}{20} \right)^{1} +\left( \frac{8}{20} \right)^{150}[/tex]
[tex]=\sum^{150}_{k=72} [C^{k}_{150}\times \left( \frac{8}{15} \right)^{k} \times \left( \frac{7}{15} \right)^{150-k}][/tex]
First of all, we would determine the total number of balls in the urn as follows:
Total number of balls = 8 + 7 + 5
Total number of balls = 20 balls.
Next, we would determine the probability of getting two (2) white balls without replacement:
P(2 white balls) = 8/20 × 7/19
P(2 white balls) = 2/5 × 7/19
P(2 white balls) = 0.1474.
Part 2.When 5 balls are selected without replacement, the probability of getting two (2) white balls would be calculated as follows:
P = [⁵C₂ × (8/20 × 7/19) × (12/18 × 11/17 × 10/16)]
P = [5!/(2! × (5 - 2)!) × (2/5 × 7/19) × (2/3 × 11/17 × 5/4)]
P = [5!/(2! × 3!) × (2/5 × 7/19) × (2/3 × 11/17 × 5/4)]
P = [20/2 × (2/5 × 7/19) × (2/3 × 11/17 × 5/4)]
P = [10 × (2/5 × 7/19) × (2/3 × 11/17 × 5/4)]
P = 0.3456.
Part 3.When 150 balls are randomly selected with replacement, the probability of getting at least seventy two (72) white balls would be calculated by applying binomial probability equation. Mathematically, binomial probability is given by this equation:
[tex]P =\; ^nC_r (p)^r (q)^{(n-r)}[/tex]
Substituting the given parameters into the formula, we have;
P = [¹⁵⁰C₇₂ × (8/20)⁷² × (8/20)⁽¹⁵⁰ ⁻ ⁷²⁾]
P = [150!/(72! × (150 - 72)!) × (8/20)⁷² × (8/20)⁽¹⁵⁰ ⁻ ⁷²⁾]
P = [150!/(72! × (78)!) × (4/5)⁷² × (4/5)⁽⁷⁸⁾]
P = 0.7948.
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What’s the slope please help
By secant line formula, the slope of the line represented in the table is equal to - 2.
How to determine the slope of a linear function based on a table
In this problem we must determine the slope of a function based on the secant line formula. After a quick glance at the table, we find that the slope formula can be used as Δx and Δy are constant at every pair consecutive points. Then, the slope of the line is:
m = (- 3 - 9)/(9 - 3)
m = - 12/6
m = - 2
By secant line formula, the slope of the line represented in the table is equal to - 2.
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Slope=-6/5
Y intercept=2
What is the point slope form?
Answer: [tex]\Large\boxed{y-2=-\frac{6}{5} (x-0)}[/tex]
Step-by-step explanation:
Given the requirement of function form
Point-slope form: y - y₁ = m (x - x₁)
m = slope(x₁, y₁) = Any point on the lineGiven information
Slope (m) = -6/5
Y-intercept (x₁, y₁) = 2 = (0, 2)
Substitute values into the required form
y - y₁ = m (x - x₁)
y - (2) = (-6/5) (x - 0)
[tex]\Large\boxed{y-2=-\frac{6}{5} (x-0)}[/tex]
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The value of your stock investment in a certain company decreased 10 % over the last year. If the value of your stock investment is $7000
today, then what was the value of your stock investment a year ago
The value of the stock a year ago is $7778
How to determine the value of the stock a year ago?The given parameters are:
Depreciation rate, r = 10%
Value of investment today, V(t) = $7000
The value of the stock a year ago is then calculated as:
Value of investment today = Value of investment last year * (1 - Depreciation rate)
Substitute the known values in the above equation
7000 = Last year * (1 - 10%)
Evaluate the difference of 1 and 10%
7000 = Last year * (90%)
Divide both sides by 90%
Last year = 7778
Hence, the value of the stock a year ago is $7778
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Find the area of the rhombus 12 5
You are on the Arithmetic Reasoning section.
Q: If the following series continues the same pattern. What is the next
number in the series 1, 10, 7, 16?
Answer:
13
Step-by-step explanation:
This problem is a type of puzzle called a Number Pattern. Number patterns always follow a specific pattern. In this case, its +9, -3.
The first number in this pattern is 1.
The second number in this pattern is 10.
That is an increase of +9.
The third number in this pattern is 7
That is a decrease of -3.
The fourth number in this pattern is 16.
That is an increase of +9.
Therefore, we can conclude that the next number will have to be a decrease of -3.
16 - 3 = 13
That is your answer. I hope I helped. If you feel like this is the best answer, please rate brainliest.
please help 30 points
See attachment for the graph of the function y = 5 sin(4x)
How to graph the trigonometry function?The trigonometry function is given as:
y = 5 sin(4x)
To plot the graph, we use the following domain:
x > 0
This represents the minimum value of x
Also, we use
x < π/2
This represents the maximum value of x
When the domain are combined, we have:
0 < x < π/2
This means that the domain that gives a complete cycle is 0 < x < π/2
See attachment for the graph of the function
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