A bald eagle flies 43.2 meters in 3 seconds. Part C: At these rates, what is the difference in the distances, in kilometers, flown by these two birds after 3 hours of flight?
PLEASE PLEASE PLEASE HELP ASAP
Answers
The difference between the distances flown by these birds is 150 Km.
We have a graph given in the question.
We have to find the difference in the distances flown by these two birds after 3 hours of flight.
What is the general equation of a line ?The general equation of a line is -
y = mx + c
According to the question -
The slope of the line is -
m = 400/5 = 80
The y - intercept of the line is 0. Therefore → c = 0.
Therefore, the equation of the line will be -
y = 80x
The distance covered by Bird 1 →
D[1] = initial distance + 80 x 3 = 250 + 240 = 490 Km.
The distance covered by Bird 2 →
D[2] = initial distance + 80 x 3 = 400 + 80 x 3 = 400 + 240 = 640 Km.
Therefore, difference between the distances flown by these birds -
D[2] - D[1] = 640 - 490 = 150 Km.
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[ The given question is incomplete. A graph is attached at the end of answer which is also a part of the question]
Related Questions
What is the 2 nd term of the geometric sequence 3, II, 12, . . . . . . . ?
Answers
The second term of the given geometric sequence is: 6.
What is a geometric progression?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.Given:
First term of GP = 3 (a₁).Third term of the GP = 12 (a₃).To find: Second term of the GP (a₂).
Finding:
Since the given sequence is a GP, the nth term will be given by: [tex]a_n=a_1(r^{n-1})[/tex], where r = common ratio of the GP.
Now, for n = 3, [tex]a_3=3(r^{3-1})[/tex]
=> 12 = 3 (r²)
=> 4 = r²
=> r = ±2
Since the given sequence is increasing and positive, r = 2.
Thus, a₂ = a₁ (r¹)
=> a₂ = 3 (2) = 6
Hence, The second term of the given geometric sequence is: 6.
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A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 175,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 8% each year. How many total fish did the company catch over the first 10 years, to the nearest whole number?
Answers
The company catches 1,237,275.5 fishes over 10 years.
Given that, a company catches 175000 fishes in a year, the population decreases, the number of fish the company was able to catch decreased by 8% each year.
So, the population in 10 year =
The second year = 175000 × 0.92 = 161000
The third year = 161000 × 0.92 = 148120
The fourth year = 148120 × 0.92 = 136,270.4
The fifth year = 136270.4 × 0.92 = 125368.8
The sixth year = 125268.8 × 0.92 = 115339.3
The seventh year = 115339.3 × 0.92 = 106112.2
The eighth year = 106112.2 × 0.92 = 97623.2
The ninth year = 97623.2 × 0.92 = 89813.3
The tenth year = 89813.3 × 0.92 = 82628.3
The total = 175,000+161000+148120+136,270.4+125368.8+115339.3+106112.2+97623.2+89813.3+82628.3 = 1,237,275.5
Hence, the company catches 1,237,275.5 fishes over 10 years.
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Find the expression for h(x)
Answers
Hello,
[tex]f(x) = - {x}^{2} + 8[/tex]
[tex]h(x) = - {x}^{2} + 8 - 3 = - { {x}^{2} } + 5[/tex]
Help Please
Solve for y : | y | = 16 .
y= ____ , ____
Answers
explanation: the absolute value bars make the expression inside positive, if they were negative to begin with. so, a negative number like -16 becomes 16, and a positive number like 16 still stays the same
If p(a|b) =0.40, p(b) = 0.74, and p(a) = 0.42, are the events a and b independent?
Answers
The set of items that exist as part of both sets A and B exists at the intersection of the two sets.
If p(a|b) =0.40, p(b) = 0.74, and p(a) = 0.42, then P(A∩B) is 0.46.
What is Probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
It exists given that the Probability of two independent event A and B exists given by P(A) and P(B).
The intersection of event A and B is given by P( A∩B).
The group of items that are part of both sets A and B is the intersection of the two sets. A ∩ B represent the intersection. The symbol "∩" can be used to represent the intersection of sets.
The collection of all outcomes that are components of both sets A and B is known as the intersection of events A and B (abbreviated AB).
Given: P(a|b) = 0.40
P(A) = 1 - 0.40 = 0.6
P(B) = 1 - 0.74 = 0.26
P(A∪B) = P(A) + P(B) − P(A∩B)
substitute the values in the above equation, we get
0.40 = 0.6 + 0.26 - P(A∩B)
- P(A∩B) = 0.40 - 0.6 - 0.26
P(A∩B) = 0.46
Therefore, the independent events of A and B exists 0.46.
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The temperature is 10 degrees below zero. The sun come out and the temperature went
up 15 degrees. What is the temperature now since the sun came out?
Answers
Answer:
5 degres
Step-by-step explanation:
0-10 is -10
-10+15 is 5
Find the values of x and y given that 182x + 247 y = gcd(182, 247)
Answers
Answer:
Hello,
x=-4, y=3
Step-by-step explanation:
14*x+19*y=1 since gcd(182,247)=13
Here is a automatic calculus (using Bezout 's method)
All you have to do is to put in B1 and B2 the right numbers
The values of x and y given that 182x + 247 y = gcd(182, 247) would be x=-4 and y=3.
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
To solve an equation, then the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
And Solutions to an equation are values of the variables involved in that equation for which the equation is true.
We have given the equation as;
182x + 247 y = gcd(182, 247)
Then we get
14*x+19*y=1
Thus, x=-4 and y=3.
since we have given gcd(182,247)
=13
Hence, The values of x and y given that 182x + 247 y = gcd(182, 247) would be x=-4 and y=3.
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What does f(5) =23 mean
Answers
Answer:
Step-by-step explanation:
when f is evaluated at 5 the output is 23
This equation means that f, which is the variable representing our unknown number or value, is being multiplied by 5 to equal 23. Here’s what this looks like:
f x 5 = 23
Out loud, this can sound like:
“f times five equals twenty three”
or
“An unknown number times 5 will equal 23”
If you want to actually solve for the answer, follow along with these steps below:
*** As a reminder, our original equation is ***
f (5) = 23.
••• STEP ONE: •••
Since we know that f is being multiplied by 5, we can remove the parenthesis and rewrite the equation.
f (5) = 23
Rewritten as:
f x 5 = 23
••• STEP TWO: •••
We now have f x 5 = 23. We need to isolate our variable on one side of the equation. To put it differently, we need to get the letter f ( our variable) to be by itself on one side of the = sign. Since f is currently being multiplied by 5, all we need to do is the opposite of multiplication to counteract this, which is division. Therefore, we can divide both sides of the equation by the number 5 so as to isolate our variable. Here’s what it looks like to divide our equation by 5, where the denominator represents the division:
f x 5 23
____ = ___
5 5
^Note that on the left hand side of the equation, we are diving f x 5 by 5 (f x 5 / 5). Again, we are isolating our variable in this step. So, the two 5s on the left side cancel each other out because we are using opposite processes (multiplication to division) with the same equal number to eliminate the “times 5” on the left side and be left with only the remaining f. Being said, we have isolated our variable and we no longer need to worry about the 5 on the left side of the equation, as it has been cancelled out. We are now simply left with our variable f on the left hand side.
Now that our variable is isolated, we are left with f on the left side of the = sign, and 23 divided by 5 on the right hand side. The problem looks like this:
23
f = ___ or f = 23 ÷ 5
5
The equations above are equal, and they both show that our variable (f) is equal to 23/5.
••• STEP THREE: •••
Since we now know that f = 23 divided by 5, we can use a calculator or long division to divide 23 by 5. When we do this, we get the decimal 4.6.
**Please note that there are many different ways to write this answer. Above, I have just shown you this fraction (23/5) as a decimal (4.6). If you are solving this equation for an assignment, check what form your instructor wants you to use as the final answer.**
If you were looking for a decimal, you are done with this equation, as we have found the decimal 4.6.
Below, I will include some alternative ways you may write a solution of this equation as a final answer.
Initial equation: f (5) = 23
• FINAL ANSWER:
- Final answer as a decimal:
f = 4.6
- Final answer as a fraction
(in simplest form):
23
f =. ___ or f = 23/5
5
- Final answer as a mixed number:
3
f = 4 ___ or f = 4 3/5
5
(“f equals four and three fifths”)
- Final answer as a percentage:
f = 460%
I really hope this helps!
pls helppppppppppppp
Answers
Answer:
Option 2
Step-by-step explanation:
2.2 x 1.25 = 2.7510-2.75=7.25
help me with this question
Answers
A die is rolled. Find the probability of the outcome. P( less than 2 )
Answers
When a die is rolled, the probability of outcome less than 2 is 1/6.
As given in the question,
Let the possible outcomes of the given event is represented by S.
Formula used :
Probability of an event
= (Favorable outcomes) /(Total Number of possible outcomes)
When a dice is rolled, all possible outcomes are 1, 2, 3, 4, 5, 6.
Sample space, S =(1, 2, 3, 4, 5, 6)
Favorable outcomes = Only 1 is smaller than 2, remaining number is greater than 2
So, total number of favorable outcomes = 1
Probability of outcome less than 2
= (Favorable outcomes) /(Total Number of possible outcomes)
⇒ Probability = 1/6
Therefore, when a die is rolled, the probability of outcome less than 2 is 1/6.
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-8(-10/7)=4(-10/7+5)+2(-10/7)
help pls
just like show solution
Answers
Answer:
Step-by-step explanation:
[tex]\displaystyle\\-8(-\frac{10}{7})= 4(-\frac{10}{7} +5)+2(-\frac{10}{7} )\\[/tex]
[tex]\displaystyle\\Let \ -\frac{10}{7} =t\\Hence,\\(-8)(t)=(4)(t+5)+(2)(t)\\-8t=(4)(t)+(4)(5)+2t\\-8t=4t+20+2t\\-8t=6t+20\\-8t+8t=6t+20+8t\\0=14t+20\\0-20=14t+20-20\\-20=14t\\-20=(14)(-\frac{10}{7} )\\-20=-\frac{(14)(10)}{7} \\\\-20=-\frac{(7)(2)(10)}{7} \\-20=-(2)(10)\\-20\equiv-20[/tex]
Find the values of x and y. State which theorem(s) you used.
Answers
The required simplified value of x and y is 32 and 84 respectively.
Given that,
To find the values of x and y. State which theorem(s) you used.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Vertical opposite angles
3x = 5x - 64
2x = 64
x = 32
Now,
5x - 64 = 5*32 - 64
= 160 - 64
= 96°
Now complementary angle y
y = 180 - 96°
y = 84°
Thus, the required simplified value of x and y is 32 and 84 respectively.
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FITNESS A fitness instructor is starting a new aerobics class using fitness hoops. She, wants to confirm that all of the hoops are the same size. What measure(s) can she use to prove that all of the hoops are congruent? Explain your reasoning.
Answers
The instructor can use Mathematical coincidence to prove that all of the hoops are congruent.
What do we mean by Mathematical coincidence?The term "coincide" refers to something happening at the same time. In mathematics, coincident lines are lines that lie on top of each other so that when we look at them, they appear to be a single line rather than double or multiple lines. Two lines as well as shapes that are exactly on top of one another.For instance, these two lines are coincidental, but they appear to be one line because they are on top of each other.So, the fitness instructor should use Mathematical coincidence and should keep the hoops on one another to check the congruency.
Therefore, the instructor can use Mathematical coincidence to prove that all of the hoops are congruent.
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After robbing a bank in Dodge City, a robber gallops off at 14 mi/h. 30 minutes later, the marshall leaves to pursue the robber at 16 mi/h. How long (in minutes) after the marshall takes off does it take the marshall to catch up to the robber?
Answers
The number of minutes it will take the marshal to catch up to the robber in discuss is; 210.
How long will it take to catch up with the robber?Let 30minutes = 0.5 hours.
Let x represent the time for which the marshal has ran.
On this note, the robber must have galloped at; (x +0.5) hours.
Hence, it follows from the task content that if they are at the same distance from the bank; we have;
14(x+0.5) = 16(x)
14x + 7 = 16x
7 = 2x
x = 7/2 = 3.5 hours.
= 3.5 × 60minutes = 210minutes.
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Ms. Lopez is creating posters to decorate
her classroom. She uses 0.25 ounce of paint
per poster. If she has 4.05768 ounces of
paint, how many posters can she make?
Answers
Give an example of a 2x2 matrix whose
determinant is 13.
Answers
Answer:
The method for appearing with numbers for the 2x2 matrix whose determinant is 13 is clarified.
Step-by-step explanation:
Determinant of 2×2 matrix
If we have a 2×2 matrix A of the form;
A =
\binom{a \: \: \: b}{c \: \: \: d}(
cd
ab
)
The determinant of the matrix is;
|A| = (a.d) - (b.c)
Therefore, to appear with numbers for a, b, c, and d, we must ensure; (a.d) - (b.cdeterminantse, if a = 3, d = 15, b = 2, and v = 1.
Ultimately, |A| = (3×5) - (2×1) = 13
Urijah is starting a food cart business. The cost to start the business is $20,000 and the monthly costs are $8,000. He has been earning $8,800 every month in revenue. In how many months will Urijah's business break-even and earn a profit?
Answers
He will break even on the 25th month.
How to find the number of month his business will break even?The cost to start the business is $20,000 and the monthly costs are $8,000.
He has been earning $8,800 every month in revenue.
Profit = Selling Price - Cost Price
Therefore,
let
x = number of month
Hence,
selling price = 8800x
cost price = 20000 + 8000(x) = 20,000 + 8000x
Therefore,
profit = 8800x - (20,000 + 8000x)
profit = 8800x - 20000 - 8000x
profit = 8800x - 8000x - 20000
profit = 800x - 20000
Hence,
The month when they will break even is as follows:
8800x = 20,000 + 8000x
20000 = 8800x - 8000x
20000 = 800x
x = 20000 / 800
x = 25
Therefore, he will break even on the 25th month.
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The monthly cost of using a cell phone is $29.95 plus $0.035 per minute of talk time. An equation to
represent this monthly cost would be:
C = 29.95 + 0.035x, where C represents the monthly cost and x represents the number of minutes used.
How many minutes were used during a month if the cost amounted to $43.53 ?
O 506 minutes
O 426 minutes
O 388 minutes
438 minutes
Answers
Answer:
c) 388 minutes
Step-by-step explanation:
Given equation,
→ C = 29.95 + 0.035x
Then the call duration will be,
→ C = 29.95 + 0.035x
→ 43.53 = 29.95 + 0.035x
→ 0.035x = 43.53 - 29.95
→ x = 13.58/0.035
→ [ x = 388 ]
Hence, option (c) is correct.
234.8−38.94 helppppp
Answers
Answer:
195.86
Step-by-step explanation:
Answer: 195.86. Yw.
Step-by-step explanation: Pls add me Brainliest >3
What is the slope of a line perpendicular to the line whose equation is x+4y=16x+4y=16. Fully simplify your answer.
Answers
The slope of a line perpendicular to the line of x + 4y = 16 is 4.
What is the slope of a line perpendicular to the line of the given equation?Given the equation of line;
x + 4y = 16
First, rearrange in slope intercept form ( y = mx + b ) by solving for y
x + 4y = 16
Subtract x from both sides
x - x + 4y = 16 - x
4y = -x + 16
Divide each term by 4 and simplify
4y/4 = -x/4 + 16/4
y = -(1/4)x + 4
Using the slope intercept form ( y = mx + b ) to compare.
y = -(1/4)x + 4
Slope m = -(1/4)
Now, the equation of a perpendicular line to y = -(1/4)x + 4 must have a slope that is the negative reciprocal of the original slope.
Hence, m_perpendicular will be;
m_perpendicular = -( 1 / original slope )
m_perpendicular = -( 1 / -(1/4) )
m_perpendicular = -( -4 )
m_perpendicular = 4
Therefore, the slope of a line perpendicular to the line of x + 4y = 16 is 4.
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Find the value of x if A C=4 x-3, D C=2 x+9, m∠ E C A=15 x+2, and EC is a median of ΔAED. Is EC also an altitude of Δ A E D ? Explain.
Answers
If AC = 4x - 3, DC = 2x + 9, m ∠ ECA = 15x + 2, and EC is a median of ΔAED then EC is not an altitude of ΔAED because of m ∠ ECA = 92.
What is meant by the altitude of a triangle?
In geometry, an altitude is a line that passes through two very specific points on a triangle: a triangle's vertex, or corner, and its opposite side at a right, or 90-degree, angle. The base is the opposite side. Triangles have three vertices and three opposite sides in common.
Given: AC = DC
4x - 3 = 2x + 9
4x - 2x - 3 = 2x - 2x + 9
simplifying the above equation, we get
2x - 3 = 9
2x - 3 + 3 = 9+3
2 x = 12
x = 6
Substitute the value of x in m ∠ ECA, then we get
m ∠ ECA = 15x + 2
= 15(6) + 2
m ∠ ECA = 92
EC is not an altitude of ΔAED because of m ∠ ECA = 92.
Therefore, EC is not an altitude of ΔAED.
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Write a two-column proof. (Lesson 4-4)
Given: Δ L M N is isos. with LM ≅ NM , and MO bisects ∠L M N .
Prove: Δ M L O ≅ ΔM N O
Answers
It is proved that ΔLMN is an isosceles triangle.
What exactly do we mean by a triangle's congruency?Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure.These triangles can be moved, rotated, flipped, and turned to appear identical.If they are repositioned, they will coincide.If two triangles satisfy the five congruence conditions, they are congruent.They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), and right angle-hypotenuse-side (RHS).So,
Given:
LM ≅ NMMO bisects ∠L M NTo prove congruency:
MO = MO (Common line)LM = NM = Given∠LM0 = ∠NMO = equal angles (As MO bisects ∠LMN)Therefore, ΔM LO ≅ ΔMNO under SSA congruency.
Since the 2 sides are similar so the angles in front of them will also be similar.So we can say that ΔLMN is an isosceles triangle.Therefore, it is proved that ΔLMN is an isosceles triangle.
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#3 i
The endpoints of AB are A (-8, 5) and B (0,7). Find the coordinates of the midpoint M.
The coordinates of the midpoint M
Answers
The coordinates of the midpoint M of the segment AB is (-4,6).
What is the coordinates of the midpoint M of the segment AB?The midpoint formula is expressed as;
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
Given the data in the question;
Point A (-8, 5)
x₁ = -8y₁ = 5Point B (0,7)
x₂ = 0y₂ = 7To determine the midpoint, plug the given points into the formula above and simplify.
M = ( (x₁+x₂)/2, (y₁+y₂)/2 )
M = ( ((-8)+0)/2, (5+7)/2 )
M = ( ( -8+0 )/2, (5+7)/2 )
M = ( ( -8 )/2, (12)/2 )
M = (-4,6)
Therefore, the coordinates of the midpoint M of the segment AB is (-4,6).
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help asap!! check screenshot
Answers
The sequence of the angles from lower to bigger will be ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In a triangle, if the angle is small then the opposite side will be short, and if the angle increases then the side also increases.
The sides of the triangle are in ascending order, then we have
WY < YZ < WX < XY < XZ
Then the sequence of the angles is given as,
∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ
The sequence of the angles from least to biggest is ∠WXY < ∠YXZ < ∠WYX < ∠XZY < ∠XYZ.
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What's 3/6 + 2/6? (Note: you will get 99 points if you solve this!)
Answers
================================================
the fractions have like denominators so we add numerators :
[tex]\sf{\frac{3}{6} +\frac{2}{6} =\frac{3+2}{6} =\frac{5}{6}[/tex]
5/6================================================
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[tex]\textcopyright ELIZA[/tex]
there are 5 more of this same question get free pounts! Rex and Samir participated in a walkathon. Rex walked for 1 2/3 hours, and Samir walked for 3 1/3 hours. complete the comparison. Samir walked _____ times ad many hours as Rex walked.
Answers
Answer:
2 times as much
Step-by-step explanation:
1 hour 2/3 = 60 + (2/3) 40 mins = 100 minutes
3 hours 1/3 = (60 ×3 ) + 20 mins = 200 mins
200 is twice as much as 100
The scatter plot shows the number of stamps Katie collected in different months:
plot ordered pairs 1, 30 and 2, 70 and 3, 110 and 4, 150 and 5, 190
What is the approximate predicted number of stamps she collected in the 25th month? (1 point)
980
990
1,000
1,010
Answers
Hello!
The approximate predicted number of stamps she collected in the 25th month is 990.
Step-by-step explanation:
The ordered pairs are as follows:
( 1, 30), ( 2, 70), ( 3, 110), ( 4, 150), and ( 5, 190).
The pattern visible is that each month the value increases by 40 from each previous month.
The equation you would have to do in order to see how many stamps she collected is:
[tex]30[/tex] + [tex]40[/tex] × [tex]24=30[/tex] + [tex]960=990[/tex]
Hope this helps!
A b = 8x - 7 BC = 6X + 7 what is AC
Answers
Answer:
a
Step-by-step explanation: codigo binario
Thomas took a 140-mile bus trip to visit his grandparents.
His trip is outlined on the graph
Explain what might have happened in the interval
between D and E.
a. Show work (50 points). Mark the graph
Answers
Answer:
they stopped at 110 for a restroom break?
I don't think I fully understand lol srry
Thomas and his grandparents are on a trip of 140-mile. From Points D and E, there is no movement of the bus, which means they halt at the point.
What is a graph?An orderly schematic illustration or diagram of facts or quantities is known as a graph in mathematics.
Usually, the graph's examples indicate how two or more items are related to one another.
As per the graph provided in the question,
As we can see in the graph there are covering 140 miles in a bus and the graph shows distance (in miles) and time (in hours).
From the graph we can see that between point D and E only time is increasing but the distance is constant which means they stopped at some place to halt.
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