Let's call the time it takes for the birds to be 25 miles apart t, in hours. In this time, the first bird will fly a distance of 8t miles to the east, and the second bird will fly a distance of 6t miles to the north.
To determine t, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the distance between the birds) is equal to the sum of the squares of the other two sides.
So, for the two birds to be 25 miles apart, we have:
25^2 = (8t)^2 + (6t)^2
25^2 = 64t^2 + 36t^2
25^2 = 100t^2
t^2 = 25^2 / 100
t^2 = 0.25
t = √0.25
t = 0.5
So, it will take the birds 0.5 hours, or 30 minutes, to be 25 miles apart.
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on the south side of the building, the first quartile is 43cm, the median is 46cm, and the third quartile is 48cm. if she goes to the south side and randomly selects three daffodils, what is the probability that none of them are between 46cm and 48cm?
Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.
What is probability?Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.
Since the median of the data is 46cm
the third quartile is 48cm,
this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.
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PLEASE HELP!!!
for top box say A1 for bottom box say A2.
Part 1:
Domain = (-2, -1, 0, 2)
Range = (-4, -2, 2)
Part 2:
Domain = (-4, -2, 1, 4)
Range = (-2, 1, 4)
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Part 1:
From the function figure:
All the x values are domain and all the y values are codomain.
All the y values that are an image of an x value are called the range.
So,
Domain = (-2, -1, 0, 2)
Range = (-4, -2, 2)
Part 2:
From the table:
All the x values are domain and all the y values are range.
So,
Domain = (-4, -2, 1, 4)
Range = (-2, 1, 4)
Thus,
The domain and range are given above.
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Simplify the expression (64)2.
Answer:16
Step-by-step explanation:
Answer:
128
Step-by-step explanation:
When dealing with those types of problems, that's just another way of saying it's multiplication.
(64)2=64×2
which in this case, if you multiply to those numbers
64×2
youll get 128
64×2=128
The bearing of a plane from an airport is 065°.
Calculate the bearing of the airport from the plane.
The bearing of the airport from the plane is calculated as; 245 degrees
How to calculate the bearing angle?The parameter given is that the bearing from the airport to the plane is 65 degrees.
From the the diagram I have attached, since the bearing from airport to plane is 65 degrees, we see that the bearing is calculated from North.
Thus, the 360° covering the North to the south in the clockwise direction is 180°
When the bearing required is from plane to bearing , the angle will be;
180 + 65 = 245 degrees
So the bearing from plane to airport will be = 245 degrees
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*find x
26x-4=15x+24
a student has to take twelve hours of classes a week. due to her extracurricular activities, she must take at least three hours of classes on monday, at least two on thursday, and at least one on friday. (a) in how many ways can she do this? (b) in how many ways can she do this if there is only one class on tuesday that she may take?
The number of permutations for the remaining hours is 6 hours.
Permutation is a mathematical concept that refers to the arrangement of objects or elements in a specific order. It is used to find the number of possible combinations of a given set of elements.
Let's assume that she takes exactly three hours of classes on Monday, two on Thursday, and one on Friday. Now, we have three hours left for Tuesday, Wednesday, and the rest of the week.
To find the number of permutations for the remaining hours, we can use the permutation formula, which is:
P(n, r) = n! / (n-r)!
Where n is the total number of items and r is the number of items being selected. In this case, n = 3 (hours left for Tuesday, Wednesday, and the rest of the week) and r = 3 (hours being selected).
So, the number of permutations for the remaining hours is:
P(3, 3) = 3! / (3-3)! = 6
Now, we have found the number of permutations for the remaining hours.
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The blues band, Jonny and the Silver Toads, charges $25 per ticket at their performances. Their next venue charges them $800 for use of the venue. Based on the inequality below, how many tickets, t, do they need to sell in order to profit at least $1,725?
If they want to make a profit of $1,725 or more, then they need to sell at least 101 tickets.
How many tickets do they need to sell?We know that each ticket costs $25, then if they sell t tickets the revenue is:
R(t) = 25t
We know that the band has a cost of $800, and they want to make a profit of at least $1,725, then we can write the inequality below:
25t - 800 ≥ 1,725
(remember that the profit is the difference between the revenue and the cost).
Now we can solve that for t.
25t ≥ 1,725 + 800
25t ≥ 2,525
t ≥ 2,525/25
t ≥ 101
They need to sell at least 101 tickets.
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[tex]\frac{10}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}[/tex]
The value of the rationalization is 5√2
What are surds?Surds are described as the nth root of a number, say x and a number r which, when raised to the power n
Given that;
n is a positive integer or the degree of the root.
It is also seen as an expression that includes a square root, a cube root or other roots.
They are used to write irrational numbers only.
Given the surds;
10/√2 × √2/ √2
Multiply the values
10√2/2
Divide the values
5√2
Hence, the value is 5√2
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with a side length of 10 feet. what will be the length of the path? round your answer to 2 decimal places.
The length of the path is determined by Pythagoras theorem and the length is equal to 14.14 feet.
The flower garden is in the shape of a square with a side length of 10 feet.
We have to find the length of the path at which Chi is paving the stones.
Since the length of the path is in the shape of the diagonal of the square.
Let, the length of the path be "L" feet.
By Pythagoras theorem,
[tex]10^{2} + 10^{2} =L^{2} \\100+100=L^{2} \\L^{2} = 200\\L=\sqrt{200} \\L=\sqrt[10]{2} = 14.142= 14.14 feet.[/tex]
Hence, the length (L) of the path is equal to 14.14 feet.
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Complete question:- ChiChi is planning to put a path of paving stones throughthrough her flower garden and the path is situated as a diagonal of her garden as the garden is a square with a side length of 10 feet. What will be the length of the path? Round your answer to 2 decimal places.
Four boys have heights of 155155 centimeters, 156156 centimeters, 158158 centimeters, and 162162 centimeters.
What is the mean height of the four boys?
The mean height of the four boys is 157657.75 centimeters.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
Given, Four boys have heights of 155155cm, 156156cm, 158158cm, and 162162cm.
Therefore, The mean height of the boys is the sum of the heights of boys divided by the total number of boys which is,
= (155155 + 156156 + 158158 + 162162)/4.
= 630631/4.
= 157657.75 cm.
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PLEASE HELP EASY MATH
The length PR is given as follows:
PR = 337.75 ft.
What are similar triangles?Similar triangles share these two features:
Congruent angles, that is, angles that have the same measure.Proportional side lengths.The similar triangles for this problem are given as follows:
PRE and POC.
Hence the equivalent side lengths are given as follows:
PR = x and 165 ft.x + 125 ft and 255 ft.Then the proportional relationship among the equivalent side lengths is given as follows:
x/165 = (x + 125)/255.
Applying cross multiplication, the length PR, represented by x, is obtained as follows:
255x = 165(x + 125).
225x = 165x + 20625
60x = 20265
x = 20265/60
x = 337.75 ft.
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Find the area of this circle
Answer:
153.86
Explanation:
using 3.14 as pi and 7 as radius
type (3.14)7^2 into calculator
A sphere has a volume of 2304πft3. What is the radius of the sphere?
The radius of the sphere is 42 feet.
The correct option is D.
What is volume?Space occupied by an object in three dimensional space is called as volume of an object. In simple words space is taken by object.
Given:
A sphere has a volume of 2304π cubic feet.
The volume of sphere = 4/3 π r³
4/3 π r³ = 2304π
r³ = 1728
r = 41.6
r ≈ 42 feet.
Thererfore, the radius is 42 feet.
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suppose that 90% of all batteries from a certain supplier have acceptable voltages. a certain type of flashlight requires two type-d batteries, and the flashlight will work only if both its batteries have acceptable voltages. among ten randomly selected flashlights, what is the probability that at least nine will work? what assumptions did you make in the course of answering the question posed?
Suppose that 90% of batteries that are supplied from the certain supplier have acceptable voltages, probability that among all the batteries supplied least nine will work is 26 and 0.3076 .
M: Math
P: Physics
S: Statistic
n(Math) = 24
n(Physics) = 29
Formula:
Putting the values, we get,
Thus, 26 students took statistic.
Probability is basically based on the possible chances or the chances of happening of something. The theoretical probability is a type of probability that is mainly based on the reason behind that probability. For example, if a coin is tossed, the theoretical probability or the outcome of getting a head will be ½.
Probability is the branch of mathematics that basically concern about the occurrence of a random event or the chances of favorable outcome and there are mainly four types of probability exist: classical, empirical, subjective and axiomatic.
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The function f(x) is invertible. Find the value of
�
(
−
43
)
f(−43).
The function f(x) has a value of 1929 for f(-43)
How to evaluate the invertible functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x^2 - 2x - 6
An invertible function involves a function that have an inverse function or relation
The value of x in f(-43) is
x = -43
Substitute the known values in the above equation, so, we have the following representation
When the function f(-43) is calculated, we have
f(-43) = (-43)^2 - 2(-43) - 6
Evaluate the function
f(-43) = 1929
Hence, the value is 1929
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Complete question
The function f(x) is invertible. Find the value of
f(−43). if f(x) = x^2 - 2x - 6
Lars bought a carton of
eggs for $2.19. He handed
the cashier $5.00. How
much change did Lars
receive?
Answer:
$2.81
Step-by-step explanation:
four teams a,b,c, and dcompete in a tournament and exactly one of them will win the tournament. teams aand bhave the same chance of winning the tournament. team cis twice as likely to win the tournament as team d. the probability that either team aor team cwins the tournament is 0.6. find the probabilities of each team winning the tournament.
The probability of each team winning the tournament is A= 0,2 B= 0,2 C= 0,4 D=0,2
We know that only one team can win, so the sum of each probability of winning is one
P(A)+P(B)+P(C)+P(D)=1
then we know that the probability of Team A and B are the same, so
P(A)=P(B)
And that the probability that either team A or team C wins the tournament is 0.6, so P(A)+Pc)= 0,6, then P(C)= 0.6-P(A)
Also, we know that team C is twice as likely to win the tournament as team D, so P(C)= 2 P(D) so P(D) = P(C)/2= (0.6-P(A))/2
Now if we use the first formula:
P(A)+P(B)+P(C)+P(D)=1
P(A)+P(A)+0.6-P(A)+(0.6-P(A))/2=1
0,5 P(A)+0.9=1
0,5 P(A)= 0,1
P(A)= 0,2
P(B)= 0,2
P(C)=0,4
P(D)=0,2
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5x - (x + 3) = 3(2 - 2x) + x
X=
Step-by-step explanation:
To find the value of x, we need to solve the equation:
5x - (x + 3) = 3(2 - 2x) + x
Expanding the right-side expression:
5x - (x + 3) = 6 - 6x + x
Combining like terms on both sides:
6x - 3 = 6 - 5x
Adding 5x and 3 to both sides:
11x = 9
Dividing both sides by 11:
x = 9/11
So the value of x is approximately 0.818181818.
please help fill in each black so that the resulting statement is true.
Answer:
(x^2 + 4x) + (y^2 - 18 y) - 5, complete the square on on x by adding to both sides.
Step-by-step explanation:
Answer:
The 4th answer: ((x1+x2)/2 , (y1+y2)/2)
Step-by-step explanation:
To find the midpoint of a segment, you get the average of the x intercepts and y intercepts. So for the x-intercept, add the x-intercepts and divide by 2 and for the y-intercept, add the y-intercepts and divide by two.
((x1+x2)/2 , (y1+y2)/2)
help! My brain is really not working but I just cant figure this out:
Find x
Provide working out in order to get brainiest
Answer:
7.66
Step-by-step explanation:
Properties of triangle
solve for y.
Assume the equation for y.
q•(a+y)=67y+93
y=
please help me!!
Answer:y
=
93
−
q
a
q
−
67
Step-by-step explanation:
Half of the fish in a tank are rainbow fish.
20% are gouramis and the rest are corydoras.
Write the ratio of rainbow fish to gouramis to corydoras in the simplest form.
Originally there were 20fish. Three more rainbow fish are added.
What fraction of the fish in the tank are now rainbow fish?
The ratio of the rainbow fish to guoramis to corydoras is 5:2:3
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
Rainbow fish is half, this means that the percentage of rainbow fish is 100×1/2 = 50%
percentage of guoramis is 20%
therefore the percentage corydoras = 100-(20+50) = 30%
therefore the ratio of rainbow fish to guoramis to corydoras = 50:20:30
divide through by 10 = 5:2:3
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one inch represents 2,000 feet is what type of scale? group of answer choices verbal scale graphical scale fractional scale
'One inch represents 2,000 feet' is a verbal type scale.
The link between a length unit on a map and its corresponding length on the ground is known as the map scale. It will be beneficial for you to carefully study this section because we will use map scale principles throughout the course.
We can use three distinct scales to relate a map to the ground:
verbal scalegraphic/ bar scalerepresentative fraction/ ratio scale'One inch represents 2,000 feet' is an example of a Verbal scale. The relationship between a map distance and a ground distance is expressed verbally using a verbal scale.
Here, it is inferred that one inch on the map corresponds to 2000 feet on the ground. Popular atlases and maps frequently use verbal scales.
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Anni rode her bicycle on a trail for 80 minutes at an average speed of 12 miles per hour. How long will it take her to ride the same trail at a speed of 15 miles per hour?
Answer: 100 minutes
Step-by-step explanation:
What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The volume of the given cylinder would be = 4300 in³
How to calculate the volume of a cylinder?The formula that can be used to calculate the volume of a cylinder = V= πr²h
where,
π = 3.14
r = 14
h = 7
volume = 3.14× 14² × 7
= 3.14× 196× 7
= 4308.08
= 4300 in³
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In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average?
Tasha, because she has the lowest ratio since 0.9 > 0.8
Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
Jana, because she has the lowest ratio since 0.9 > 0.8
Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30
Answer: Tasha
Step-by-step explanation:
9/10 = .900 avg
12/15 = .800 avg
If you standardize the ratios to 30, then:
27/30 = .900 avg
24/30 = .800 avg
If you were considering buying a stock, which time frame would you use to analyze its price history (1-day, 5-day, 1-month, etc)? Why?
Help me out please.
When considering buying a stock then the best time frame to use to analyze the price history depends on your investment goals but on average, 1 year to 5 years.
How to determine a time frame for analysis ?The time frame for analyzing a stock's price history depends on the investment horizon and the goals of the investor. If you are a short-term trader who seeks to make quick profits, you might use a 1-day or 5-day time frame to analyze the stock's price movements.
Medium-term investor with a horizon of a few months to a year, should use a 1-month or 3-month time frame. For long-term investors with a horizon of several years, use a 1-year or even longer time frame, such as 5 years or 10 years.
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how to find the hypotenuse of a triangle with two sides?
The Pythagorean formula, c=√a²+b², can be used to get the required hypotenuse.
What is the hypotenuse?The hypotenuse is the longest side of a right-angled triangle or the side that faces away from the right angle.
The length of the hypotenuse can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse's length equals the sum of the squares of the lengths of the other two sides.
If one of the other sides in this situation is 3 (when squared, this equals 9) and the other is 4, this equals 16, and the sum of their squares is 25.
The length of the hypotenuse is equal to the square root of 25, or 5.
The hypotenuse can be found using the Pythagorean formula, which is c=√a²+b².
Therefore, the Pythagorean formula, c=√a²+b², can be used to get the hypotenuse.
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Rewrite the following equation in slope-intercept form. 8x + 13y = -9
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Step-by-step explanation:
Rewrite the following equation in slope-intercept form. 8x + 13y = -9 Write your answer using integers, proper fractions, and improper fractions in simplest form.
Slope intercept form mean to solve for y:
8x + 13y = - 9
subtract 8x from both sides:
8x + 13y - 8x = - 9 - 8x
13y = - 9 - 8x
rearrange right side:
13y = - 9 - 8x becomes:
13y = - 8x - 9
divide both sides by 13:
13y/13 = (- 8x - 9)/13
Answer: y = [tex]\frac{-8}{13} x-\frac{9}{13}[/tex]
the ratio of length to width f a rectangular garden is 6:7. if the permeter of the rectangle is 78 meters, what s the area of the garden in square meters
The area of the garden will be = 1512 square meters.
The formula for calculating the area of a rectangle.
Rectangle surface area. A = l × b.
Once the length and breadth of a rectangle are determined, the area is computed.
The area of a rectangle may be calculated by multiplying its length and width.
Let's assume the length of the garden is 6x meters and the width is 7x meters, where x is a positive value that we need to find.
From the given ratio, we have:
6x + 7x = 78
13x = 78
x = 6
So the length of the garden is 6 * 6 = 36 meters and the width is 7 * 6 = 42 meters.
The area of the garden can be calculated as: 36 * 42 = 1512 square meters.
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