What the distance between (2,1) and (-5,8)
Answer:
[tex]\sqrt{98}[/tex] or 9.89949
Step-by-step explanation:
use the distance formula
d=[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1})^{2} }[/tex]
d=[tex]\sqrt{(-5-2)^{2}+(8-1)^{2} }[/tex]
d=[tex]\sqrt{(-7)^{2} +(7)^{2} } \\\\\sqrt{49+49}[/tex]
d=[tex]\sqrt{98}[/tex] or 9.89949
for which of the following conditions will the sum of integers m and n always be an odd number?
F. m is an odd integer
G. n is an odd integer
H. m and n are both odd integers
J. m and n are both even integers
K. m is an odd integer and n is an even integer
Answer:
Option K
m is an odd integer and n is an even integer
Step-by-step explanation:
The sum of intergers when one is even and another is odd results into an even number. Take for example, if x is even and the next number x+1 their sum will be 2x+1. The presence of +1 at the end shows the number is not divisible by 2 hence an odd number.
Practically, if you add 2+3=5 and 2 is even number while 3 is odd, clearly the sum being 5 is an odd number.
Otherwise, if you add two even numbers or two odd numbers the sum will be an even number.
Even numbers can be divided by 2 without leaving a remainder, while odd numbers can't.
The true condition is condition K: m is an odd integer and n is an even integer
If m is odd and n is odd, then the sum will be even
This means that: Conditions F, G and H cannot be true
As an illustration, we have:
[tex]m + n= 5+ 7[/tex]
[tex]m + n= 12[/tex]
12 is even.
The result will always be even, provided that m and n are odd numbers.
If m is even and n is even, then the sum will be even
This means that: Conditions J cannot be true
As an illustration, we have:
[tex]m + n = 6 + 8[/tex]
[tex]m + n =14[/tex]
14 is even.
The result will always be even, provided that m and n are even numbers.
If m is odd and n is even, then the sum will be odd
This means that: Conditions K is true
As an illustration, we have:
[tex]m + n = 6 + 7[/tex]
[tex]m + n = 13[/tex]
13 is odd.
The result will always be odd, provided that m is odd while, n is even.
Hence: the true condition is:
K. m is an odd integer and n is an even integer
Read more about odd and even integers at:
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a coin lands on heads 200 times
the relative frequency of heads is 0.4
Answer:
The number of times coin thrown was 500.
Step-by-step explanation:
Relative\ frequency=\frac{Number\ of\ lands\ on\ heads}{Number\ of\ times\ coin\ thrown}
0.4=\frac{200}{x}
By cross multiplying we get:
0.4x=200
Dividing both sides by 0.4 we get:
x=500.
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 2. An experiment consists of drawing a
marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue
marbles to each outcome.
Complete the probability distribution table on your own paper. Answer the question in the text box below.
Probability Distribution
Number of blue
Probability
What is the probability of drawing exactly one blue marble? Write a simplified fraction
Mark this and return
Save and Exit
Next
Submit
Answer:
The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.
X | P(X)
0 | 0.390625
1 | 0.46875
2 | 0.140625
b) The probability of drawing exactly one blue marble = 0.46875
Step-by-step explanation:
Complete Question
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.
To write the Probabilty mass function, we have to establish that in two draws with replacement, the possible number of blue marbles that can be drawn is 0, 1 and 2.
Probability of drawing a blue marble = P(B) = (3/8)
Probability of not drawing a blue marble = P(B') = 1 - (3/8) = (5/8)
- Probability of drawing 0 blue marbles in 2 draws with replacement = P(B') × P(B') = (5/8) × (5/8) = (25/64) = 0.390625
- Probability of drawing one blue marble in 2 draws with replacement
= [P(B) × P(B')] + [P(B') × P(B)]
= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875
- Probability of drawing two blue marble in 2 draws with replacement = P(B) × P(B)
= (3/8) × (3/8) = (9/64) = 0.140625
The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.
X | P(X)
0 | 0.390625
1 | 0.46875
2 | 0.140625
b) Probability of drawing one blue marble in 2 draws with replacement
= [P(B) × P(B')] + [P(B') × P(B)]
= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875
Hope this Helps!!!
ASAP PLZ (there will be more) thank u for answering Btw:)
Alice is making an octahedron out of origami. The last step requires her to blow into the octahedron to fill it up.
A square pyramid on top of an upside down square pyramid the same size. The length of each side of the square base is a and the height of each pyramid is b.
Which expression represents the volume of air she will need to inflate the octahedron?
A. 23a2b2
B. 23ab2
C. 23−a2b
D. 23a2b
Answer:a negative equals a positive so I do believe the answer would be c
Step-by-step explanation: and also the girls who is fine said it.
The volume inside will be 2/3a²b.
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, A square pyramid on top of an upside down square pyramid the same size. The length of each side of the square base is a and the height of each pyramid is b.
The volume of octahedron will be the sum of volumes of both the pyramid.
Volume of pyramid = base area*h/3
Volume = a²b/3+a²b/3 = 2/3a²b
Hence, The volume inside will be 2/3a²b.
For more references on volumes, click;
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which expression is equivalent 3/4(3x-5)
Answer:
The question is incomplete.
please help i will give you brainliest for correct answers and a thank you and the rest of my points
Answer:
530.7?
Step-by-step explanation:
Answer: 530.7m
Step-by-step explanation:
The formula for the area of a circle is [tex]A=\pi r^2[/tex]
From the picture we can see that the diameter of the circle is 26m
The r, or radius of the circle is just half the diameter, thus the radius is 13m
Now that we have all the values of the variables, we can solve for A
Plug in 3.14 for π and 13 for r and solve
[tex]A=(3.14)(13)^2[/tex]
[tex]A=(3.14)(169)[/tex]
[tex]A=530.66m[/tex]
6.72 greater than or less 6.69
Answer: 6.72 is greater than 6.69
Step-by-step explanation: 6 and 6 is the same number so we don't have to compare those. And we all know, 72 is always greater than 69 and there is your answer 6.72. Hope you mark me as brainiliest.
6.72 is greater than 6.69.
Explanation:This question is asking whether 6.72 is greater than or less than 6.69.
When comparing decimal numbers, from left to right, the first digit in 6.72 is 6 and the first digit in 6.69 is also 6.
Since they are the same, move to the next digit.
The second digit in 6.72 is 7 whereas it is 6 in 6.69.
Since 7 is greater than 6, we can therefore conclude that 6.72 is greater than 6.69.
Learn more about Comparing Decimals here:https://brainly.com/question/123818
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If the base of a prism has an area of 24 m2
and the prism has a height of 7 m, what is the volume
of the prism?
A. 168 m3
B. 31 m3
C. 1176 m3
D. Not enough information.
help please
A. 168 m3
Step-by-step explanation:
V = Bh
V = 24(7)
V = 168 m3
Answer:
i really dont know bro
Step-by-step explanation:
Sample response: Start by calculating the volume of the original prism. The area of the base, B, is 4(6) = 24 m2. Multiply that by the height to get the volume: 24(10) = 240 m3. Now, if you double all of the dimensions, you would have a rectangular prism with a base that is 8 m by 12 m and a height of 20 m. The area of the base, B, is 8(12) = 96 m2. Multiply that by the height to get the volume: 96(20) = 1,920 m3. To compare, look at the ratio of the original prism to the new prism: 96/1,920 = 1/8. The volume increases by 8 times the original volume.
Un niño quiere medir una caja de zapatos
con una cinta métrica cuyas unidades
apenas pueden leerse. El niño concluye
que la base de la caja mide 6 x 9.
¿Cuál es la estimación MÁS razonable del
área de la base de la caja?
Answer: OPTION D.
Step-by-step explanation:
The missing options are: [tex]A. 15 ft^2\\ B. 15\ in^2\\C. 54\ ft^2\\ D. 54\ in^2[/tex]By definition, the area of a rectangle can be calculated applying the formula shown below:
[tex]A=lw[/tex]
Where "l" is the length of the rectangle and "w" is the width of the rectangle.
In this case, according to the information given in the exercise, the kid concludes that the dimensions of the shoes box are the following:
[tex]l=9\ units\\\\w=6\ units[/tex]
Then, substituting values into the formula, you get that the area is:
[tex]A=(9\ units)(6\ units)\\\\A=54\ units^2[/tex]
You need to identify which unit corresponds to this area. It must be Option C or Option D.
Since [tex]54\ ft^2[/tex] is too big for a shoes box, you can conclude the correct one is the area given in the Option D.
Therefore, you get that thea area is:
[tex]A=54\ in^2[/tex]
Exponential functions increase rapidly how would you describe the behavior of an inverse function to that
The exponential functions have the form f(x) = bˣ where b> 0 and b≠0.
Step-by-step explanation:
Exponential function is given in the form of f(x)= bˣ
When working with the inverse of a function, the inputs (x) and outputs(y) exchange their places and the inverse will be the reflection over the identity line y= x
The example of exponential function is the growth of bacteria. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours and it is written as f(x) = 2x.
The exponential function will be bigger than the polynomial and it always have the positive number other than 1 as the base.
The instantaneous rate of change of a quantity with respect to time is proportional to the quantity by itself.
Mr. Mole and Bugs Bunny started digging their way into the ground from different locations at the same time. They each dug at a constant rate.
The following equation gives Mr. Mole's altitude (in meters relative to the ground) as a function of time (in minutes). A = -4-0.6t
Bugs Bunny's altitude (in meters relative to the ground) as a function of time (in minutes) is given by the following table of values:
Time (Minutes) Altitude (Meters)
2 -1.6
9 -7.2
16 -12.8
Who dug faster?
A) Mr. Mole
B) Bugs Bunny
C) They both dug at the same rate
Who started at a higher altitude?
A) Mr. Mole
B) Bugs Bunny
C) They both started at the same altitude
Answer:
Bugs bunny did both
Step-by-step explanation:
B
Bugs Bunny dug faster than Mr. Mole since his digging rate is -0.8 meters per minute compared to Mr. Mole's -0.6 meters per minute. Bugs Bunny also started at a higher altitude compared to Mr. Mole. This comparison involves understanding the rates of change from given functions and data points.
To determine who dug faster between Mr. Mole and Bugs Bunny, we need to compare their digging rates.
Comparing Digging Rates
Mr. Mole's altitude function is given by A = -4 - 0.6t. The rate at which Mr. Mole digs is represented by the coefficient of t, which is -0.6 meters per minute.
To find Bugs Bunny's digging rate from the table, we need to calculate the change in altitude over the change in time:From time 2 minutes (-1.6 m) to time 9 minutes (-7.2 m):Rate = (final altitude - initial altitude) / (final time - initial time)= (-7.2 - (-1.6)) / (9 - 2) = -5.6 / 7 ≈ -0.8 meters per minuteFrom time 9 minutes (-7.2 m) to time 16 minutes (-12.8 m):Rate = (final altitude - initial altitude) / (final time - initial time)= (-12.8 - (-7.2)) / (16 - 9) = -5.6 / 7 ≈ -0.8 meters per minuteSince Bugs Bunny's rate is -0.8 meters per minute and Mr. Mole's rate is -0.6 meters per minute, **Bugs Bunny dug faster**.
Comparing Starting Altitudes
Comparing their initial altitudes:
Mr. Mole's initial altitude is -4 meters (when t = 0).
From the table, Bugs Bunny's initial data point is at time 2 minutes, altitude -1.6 meters. To find his initial altitude, we assume constant rate from this point backward:
(-1.6 meters at 2 minutes) + (0.8 meters/minute × 2 minutes) = -1.6 + 1.6 = 0 meters
Thus, Bugs Bunny started at a higher altitude.
A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M?
Answer:
5 Months start with"J" or "M"
January March May June July
So the probability of a randomly selected month beginning with J or M is
5 / 12
Step-by-step explanation:
Answer: C 5/12
Step-by-step explanation:
EDGE (GOT RIGHT) (:
5 cm
What is measure of angle A?
3 cm
Enter your answer as a decimal in the box.
Round only your final answer to the nearest
hundredth
4 cm
Answer:
The graph is missing, so there are two options m∠A = 36.87° or m∠A = 53.13°
Step-by-step explanation:
Assuming that 3 cm, 4 cm and 5 cm are the length of the sides of a triangle, then a right triangle is formed, in which 5 cm is the length of the hypotenuse and 3 cm and 4 cm are the length of the legs.
Angle A is either the angle between 4 cm and 5 cm sides or between 3 cm and 5 cm sides. For the first case:
cos(A) = adjacent/hypotenuse =
cos(A) = 4/5
A = arccos(4/5) = 36.87°
For the second case:
cos(A) = 3/5
A = arccos(3/5) = 53.13°
The measure of angle [tex]\( A \)[/tex] is approximately [tex]\( 53.13^\circ \)[/tex].
Given a right triangle [tex]\( \triangle ABC \)[/tex] with the following side lengths:
[tex]\( AB = 3 \) cm[/tex]
[tex]\( BC = 4 \) cm[/tex]
[tex]\( AC = 5 \) cm[/tex]
We need to find the measure of angle [tex]\( A \)[/tex].
Since [tex]\( \triangle ABC \)[/tex] is a right triangle, and the side lengths 3, 4, and 5 satisfy the Pythagorean theorem [tex](\( 3^2 + 4^2 = 5^2 \))[/tex], we can proceed to use trigonometric ratios to find the measure of angle [tex]\( A \)[/tex].
Using Trigonometric Ratios
The trigonometric function tangent is often used in right triangles. The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side.
For angle [tex]\( A \)[/tex]:
[tex]\[\tan(A) = \frac{\text{opposite}}{\text{adjacent}} = \frac{BC}{AB} = \frac{4}{3}\][/tex]
To find the measure of angle [tex]\( A \)[/tex], we use the arctangent (inverse tangent) function:
[tex]\[A = \tan^{-1}\left(\frac{4}{3}\right)\][/tex]
[tex]\[A \approx \tan^{-1}(1.3333) \approx 53.13^\circ\][/tex].
The complete question is:
What is measure of angle A?
Ten feet below sea level is farther below sea level than 2 and a half feet below sea level
Answer:
correct
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
cuz 10 is bgger than 2.5
6. Under what circumstances would it be better for you to work at Burger Bistro, and under what circumstances would it be better for you to work at Cheeseburger City? Please be specific in your answer.
Answer:
Burger Bistro would be better at 8+ hours. Cheeseburger City would be better at 1-7 hours.
Step-by-step explanation:
Answer:
If you were working either 8-12 hours a day it would be better to work at Burger Bistro. If you multiply 8 by $8 you will get $64 which is more pay then cheese burger city.
estimate the following difference by replacing each fraction with 0, 1/2 or 1.
7/8 - 6/11
drag numbers to the boxes to complete your answer. numbers may be used more than once or not at all.
1, 1/2, 0, 1/4, 1/8, 2
The estimated difference is [tex]\( \frac{1}{2} \).[/tex]
To estimate the difference [tex]\( \frac{7}{8} - \frac{6}{11} \)[/tex] by replacing each fraction with 0, 1/2, or 1, let's break it down:
For [tex]\( \frac{7}{8} \):[/tex]
- [tex]\( \frac{7}{8} \)[/tex] is close to 1 since it's almost a whole.
For [tex]\( \frac{6}{11} \):[/tex]
- [tex]\( \frac{6}{11} \)[/tex] is close to 1/2 since it's a bit more than half.
So, we have:
[tex]\( 1 - \frac{1}{2} = \frac{1}{2} \)[/tex]
Therefore, the estimated difference is [tex]\( \frac{1}{2} \).[/tex]
What is a parent reciprocal
Answer:
Step-by-step explanation: The general form of a reciprocal function is r(x) = a / (x - h) + k. The graphs of reciprocal functions are made up of branches, which are the two main parts of the graph; and asymptotes, which are horizontal and vertical lines that the graph approaches but doesn't touch.
Solution of systems of equations
Answer:where is the equation
Step-by-step explanation:
Susan is going to build a large wooden storage box. The box will be in the shape of a rectangular prism, as shown below. She wants to cover all the sides of the box with special wallpaper that costs 3$ per square foot. How much will the wallpaper cost in total?
Given:
Length = 5 ft
Width = 2 ft
Height = 5 ft
To find:
The cost of total wallpaper.
Solution:
Total surface area = 2(lw + wh + lh)
= 2(5 × 2 + 2 × 5 + 5 × 5)
= 2(10 + 10 + 25)
= 2(45)
Total surface area = 90 ft²
Cost of wallpaper per square foot = $3
Cost of wallpaper for 90 square feet = 3 × 90
= $270
Therefore total cost of wallpaper is $270.
Answer:
270
Step-by-step explanation:
just did it on aleks
The number 49 has exactly three factors. Since 98 is a multiple of 49, which must be true of 98? A. It must have only two factors. B. It must have fewer than three factors.C. It must have exactly three factors.D. It must have more than three factors.
Answer:
Step-by-step explanation:
⇒49=7×7 =1 × 49
Factors of 49 = 1,7,49
⇒It is given that ,98 is a Multiple of 49.
98 = 49 × 2
So, apart from factors of 49, number 2, and 98 are also included in the set of factors of 98.
→Factors of 98 are =1,2,7,49,98
A movie ticket cost me $5.60 after a 20% coupon. What was the original price of the ticket?
Answer:
7.00
Step-by-step explanation:
discount = original price *20%
final price = original price - discount
Substituting the equation for discount
final price = original price - original price*20%
Factoring out the original price
final price = original price (1-20%)
Changing to decimal form and putting the final price
5.60 = original price (1-.2)
5.60 = original price (.8)
Divide by each side by .8
5.6/.8 = original price (.8)/.8
7 = original price
Find the greatest common factor of 12 w' and 8w
Answer:4w
Step-by-step explanation:
To find the greatest common factors of 12w and 8w
Using product of prime factor we get
12w=2×2×3×w
8w=2×2×2×w
Common factors
=2×2×w
=4w
Answer:
4w.
Step-by-step explanation:
12w and 4w:
The GCF of 12 and 8 = 4.
So the answer is 4w.
Express 20 cm to 400 mm in simplest form
Answer:
Step-by-step explanation:
36/24 or 3/2
can anyone answer this
If the number of bacteria in a colony doubles every 45 hours and there is currently a population of 500,000 bacteria, what will the population be 180 hours from now?
Answer:
8,000,000
Step-by-step explanation:
180 divided by 45 equals 4.
500,000 times 2 equals 1,000,000
1,000,000 times 2 equals 2,000,000
2,000,000 times 2 equals 4,000,000
4,000,000 times 2 equals 8,000,000
2 Points
It's Crazy Sock Day, and you need to wear a pair of mismatched socks to
school. You have White, Red, Blue, and Green socks to choose from. Which
list shows all possible combinations of two different sock colors?
O
A. WR, RW, WB, BW, WG, GW, RB, BR, RG, GR, BG, GB
O B. WR, WB, WG, RB, RG, BG
O C. WR, RB, BG, GW
O D. WW, WR, WB, WG, RR, RB, RG, BB, BG
Answer:
B. WR, WB, WG, RB, RG, BG
Step-by-step explanation:
It's only asking for how many color combos you can get, so you multiply 4 by 3, then divide by 2, to get the 6 different combinations.
In a system of linear equations in two variables, if the graphs of the equation are the same, the equations are ______ equations.
A. Dependent
B. Extraneous
C. Independent
D. Inconsistent
Answer:
A
Step-by-step explanation:
A system of linear equations can have two or more equations.
The true option is (A) Dependent
When a system of linear equations, then the solutions of the system would be:
[tex]\mathbf{x = x}[/tex] or [tex]\mathbf{y = y}[/tex] or [tex]\mathbf{n = n}[/tex]
Where x and y are the variables, and n represents any number
When the solution of a system of equations is any of [tex]\mathbf{x = x}[/tex] or [tex]\mathbf{y = y}[/tex] or [tex]\mathbf{n = n}[/tex]
Then, the system of equations is dependent
Hence, the true option is (A) Dependent
Read more about system of linear equations at:
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USA scientific notation to express the diameter of a red blood cell that measures 0.00075 centimeters
Answer: 7.5×10^-4
Step-by-step explanation:
0.00075
Scientific notation means standard form
There are 3 zeros in front of the 7
So take the decimal to the back of 7
You have
7.5
Since you are counting backward, it will be negative
So we have
7.5×10^-4
Answer:
[tex]7.5 * 10^{-4}[/tex]
Step-by-step explanation:
Scientific notation is basically taking a decimal number and writing it as the product of a number between 1 and 10 (including 1 but excluding 10) and a power of 10.
Here, to get a number between 1 and 10, we see that 7.5 could work. However, if we have 7.5, we're disregarding all the zeros that came before it, which can't work. So, we need to take those into account by dividing 7.5 by 10000, which is the same as multiplying 7.5 by [tex]10^{-4}[/tex].
Thus, our final answer is the scientific notation: [tex]7.5 * 10^{-4}[/tex].