The sperm whale's underwater duration is seven times that of the sea cow, showcasing remarkable breath-holding abilities, likely adapted for deep-sea foraging and hunting.
The relationship between the underwater durations of a sperm whale and a sea cow suggests that the sperm whale's capability is sevenfold that of the sea cow. Let's denote the sea cow's duration as "x." Accordingly, the sperm whale's underwater duration would be 7 times x.
In practical terms, if we assume the sea cow can stay submerged for 10 minutes (x = 10), then the sperm whale, being seven times more proficient, can stay underwater for 7 times 10, which is 70 minutes (7x = 7 * 10 = 70). This sevenfold difference implies a significant contrast in their breath-holding abilities.
The numerical representation extends universally; if the sea cow can endure underwater for "x" units of time, the sperm whale can endure for 7 times "x" units of time. This relationship showcases the remarkable adaptation of the sperm whale to extended submersion, likely linked to its deep-sea foraging behavior and hunting strategies.
In essence, the sperm whale can stay underwater for a duration that is seven times longer than that of the sea cow, highlighting its remarkable breath-holding capacity.
A sperm whale can stay underwater for 7 times longer than a sea cow, so it can stay underwater for 7 times the duration of a sea cow.
If a sperm whale can stay underwater 7 times longer than a sea cow, we can express this relationship as:
Time a sperm whale can stay underwater = 7 * Time a sea cow can stay underwater
So, if we let the time a sea cow can stay underwater be represented by 'x', then the time a sperm whale can stay underwater is:
7 * x
Therefore, a sperm whale can stay underwater for 7 times longer than a sea cow, which means it can stay underwater for 7x.
Let a(−9, 4) and b(3, −12) be points in the plane. (a) find the slope of the line that contains a and
b.
Slope of the line = -4/3
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
The slope of line is the measure of steepness or the direction of line the coordinate plane.
m = Δy/Δx
where, m is the slope
Given,
A = (-9,4)
B = (3, -12)
Slope of line AB = (y - y')/(x-x')
= -12-4/3 - -9
= -16/12
Slope of line AB = -4/3
Hence, -4/3 is the slope of the line.
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find the value of x
A species of catfish, can generate up to 350 voltsWrite an inequality to represent the amount of electricity generated by the catfish
The inequality to represent the amount of electricity generated by the catfish, which can generate up to 350 volts, is: [tex]\[ 0 \leq E \leq 350 \][/tex] where [tex]\( E[/tex] represents the amount of electricity in volts.
This inequality indicates that the electricity generated by the catfish is at least 0 volts and at most 350 volts. The lower bound of 0 volts is included because the catfish cannot generate negative voltage, and the upper bound of 350 volts is the maximum it can generate.
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Serena paid $194.99 for a game system and then bought two equally-priced games. If she spent a total of $284.97, what is the price, p, of one game? Enter your answer in the box.
Serena bought two equally priced game at a price of $44.99 each and the total money spent in buying all three games is $284.97.
Given information:
The price Serena paid for buying the first game is $194.99
The overall price Serena paid for buying three games is $284.97
Let, the price of one of the two equally priced game is [tex]\bold{P}[/tex]
As, the price of second and third game is equal, we can consider the combined price of second and third game.
Thus , the equation formed according to the information given in the question is:
[tex]\bold{194.99+2P=284.97}[/tex]
Solve, the above equation in order to find the price of one game.
[tex]2P=284.97-194.99\\\2P=89.98}\\{P=44.99}[/tex]
Hence, the price of one game in two equally priced game is $44.99
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What is the value of x in the triangle?
A rectangular solid is dilated by a factor of 0.5.
How many times larger is the volume of the resulting solid than the volume of the original solid?
Enter your answer as a decimal in the box.
Answer:
0.125 took test
Step-by-step explanation:
Volume of the resultant solid will be 0.125 times of the original solid.
Volume scale factor of a rectangular solid:If the sides of a rectangle solid is dilated by a scale factor 'k',Volume of the solid will be given by the expression,
Volume = (k)³(Volume of the original solid)
If a rectangular solid is dilated by a scale factor 'k' = 0.5
Volume of the resultant solid = (0.5)³(Volume of the original solid)
= 0.125(Volume of the original solid)
Therefore, volume of the resultant solid will be 0.125 times of the original solid.
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Nina has $5 bills and $10 bills in her wallet. she has a total of 7 bills with a value of $55. how many of each type of bill does she have? show all work to justify your answer.
Perpendicular lines AB and CD intersect at point E. If m∠AED = x + 20, what is the value of x?
A.) 160
B.) 110
C.) 90
D.) 70
What is the future value of $1,600 in 17 years assuming an interest rate of 10 percent compounded semiannually?
OUCH MY BRAIN IS HURTING AFTER TRYING TO SOLVE THIS QUESTION
If sec a = 5/4 and a is an angle in quadrant iv find the value of cos a
PLEASE HELP ASAP!!!
The first figure is dilated to form the second figure.
Which statement is true?
The scale factor is 0.8.
The scale factor is 1.25.
The scale factor is 2.0.
The scale factor is 18.0.
Answer: The answer is (a) The scale factor is 1.25.
Step-by-step explanation: We are given two figures in the question, where the second one is dilated from the first one. We are to find the scale factor here.
One side of the dilated figure is of length 10 inch and the original figure has a side of length 8 units.
Therefore, the scale factor is given by
[tex]S.F.=\dfrac{10}{8}=1.25.[/tex]
Therefore, the scale factor is 1.25 and (B) is the correct option.
What is the value of n?
Enter your answer in the box.
n =
Answer:
n = 5
Step-by-step explanation:
This problem follows the theorem "If two chords intersect each other inside a circle, the products of their segments are equal."
To follow this theorem, you must multiply both segments of the chord with each other.
Do it to both chords.
The two chords are equal to each other. It should look like:
18*(n+1) = 9*(n+7)
[distributive property]
18n + 18 = 9n + 63
9n = 45
n = 5
What is the value of y in the parallelogram below?
Answer:
The answer is the option B
[tex]23\°[/tex]
Step-by-step explanation:
we know that
In a parallelogram consecutive angles are supplementary
so
In this problem
[tex]5y\°+65\°=180\°[/tex]
Solve for y
[tex]5y\°=180\°-65\°[/tex]
[tex]y=115\°/5=23\°[/tex]
Answer:
23
Step-by-step explanation:
just took the test
Anybody have a real answer for the question?
CD←→ is tangent to circle A at point B.
What is the measure of ∠ABD?
45º
60º
90º
180º
The measure [tex]\angle ABD[/tex] is C. [tex]90^{\circ}[/tex]
Given,CD is tangent to the circle A at point B.
We have to find the measure of [tex]\angle[/tex][tex]ABD[/tex].
Tangent:We know that,
Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent on a point to circle. The Tangent makes an angle of [tex]90^{\circ}[/tex] with the radius of the circle at the point of contact.Hence [tex]\angle ABD[/tex] is [tex]90^{\circ}[/tex].The correct option is C. [tex]90^{\circ}[/tex]
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In two or more complete sentences, define the key features of the graph below and explain how to write its equation using function notation.
Answer:
The function notation of the graph is f(x) = |x-3| - 2
Step-by-step explanation:
From the graph it is evident that it is the graph of the absolute value of the function i.e. f(x) = |x| and we know that 'Translation' is a transformation that shifts the graph of a function in any direction.
Now, as we can see that the graph is shifted towards the right of the y-axis at point x=3, this means that it is translated by 3 units to the right of y-axis.
Therefore, the function becomes f(x) = |x-3|.
Furthermore, it is also shifted downwards at the point x= -2, this means that it is translated by 2 units downward from the x-axis.
Hence, the new function is f(x) = |x-3| - 2.
It can also be seen from the figure below that the graph of above f(x) is same as that of the provided image.
John bought 6 dumplings for $3.00.
Let x represent the number of dumplings purchased, and let y represent the total cost.
Graph the line that represents the proportional relationship.
how are solutions, roots, and x-intercepts of a quadratic related?
Answer:
Step-by-step explanation:
The quadratic equation [tex]ax^2+bx+c=0[/tex]
The roots of quadratic equation is defined as that value when we substitute in the quadratic equation then we get zero.
Solution of quadratic equation is defined as that value of roots which substitute in the equation then we get zero.
x-intercept of the quadratic equation is defined as that real value of x on the x- axis when we substitute in the equation then the value of equation becomes zero.
From the above definitions we can see that roots of quadratic equation can be imaginary or real but x- intercept value of equation is always a real value.
Solution is also called the value of roots but x- intercept is equal to roots when the value of roots is real.
Now, we can says that roots and solutions of quadratic equation are same when values of roots are real. But when the roots are imaginary then we can not find x- intercept in cartesian coordinate plane .
Jorge and Mary are both filling cups with fruit punch in preparation for a party. After 3 minutes, Jorge had 53 cups left to be filled, and after 5 minutes, he had 25 cups left to be filled. Mary’s progress is shown in the table of values below. Assuming that both Jorge and Mary are filling cups at a constant rate, which statement is correct?
Mary’s Cup-Filling Progress
Time (minutes)
0.5
1
1.5
2
2.5
Cups Remaining
99
81
63
45
27
Jorge is filling 14 cups per minute, which is faster than Mary.
Jorge is filling 28 cups per minute, which is faster than Mary.
Mary is filling 18 cups per minute, which is faster than Jorge.
Mary is filling 36 cups per minute, which is faster than Jorge.
Answer:
Mary is filling 36 cups per minute, which is faster than Jorge.
Step-by-step explanation:
Lets get Jorge's time :
As the rate is constant, we can find the slope to know the number of cups he is filling per minute.
Slope is found using: [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{53-25}{5-3}[/tex]
= [tex]\frac{28}{2}=14[/tex]
From the table lets get Mary's time:
[tex]\frac{99-81}{1-0.5}[/tex]
= [tex]\frac{18}{0.5}=36[/tex]
Another data: [tex]\frac{63-45}{2-1.5}[/tex]
= [tex]\frac{18}{0.5}=36[/tex]
Therefore, we can see that Mary is filling 36 cups in a minute and Jorge is filling 14 cups.
Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.
Answer:
Mary is filling 36 cups per minute, which is faster than Jorge.
Step-by-step explanation:
Melina has 4 sheets of wacky face sticker individually from the sheet. She then divides them evenly into 3 piles to give to friends. How many stickers are in each pile?
The answer explains how to divide 4 stickers into 3 piles, resulting in 1 sticker each.
To find out how many stickers are in each pile:
Count the total number of stickers = 4 sheets x 1 sticker per sheet = 4 stickers.Divide the total number of stickers evenly into 3 piles: 4 stickers ÷ 3 piles = 1 sticker in each pile.What is the relation between the graphs of f(x)=x^2 and g(x)=x^2+6?
a.
the graph of g(x) is a translation of the graph of f(x) up 6 units
c.
the graph of g(x) is a translation of the graph of f(x) right 6 units
b.
the graph of g(x) is a translation of the graph of f(x) left 6 units
d.
the graph of g(x) is a translation of the graph of f(x) down 6 units
Answer:
I think it is the first one
Step-by-step explanation:
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WILL GIVE BRAINLIEST ANSWER!!! PLEASE HELP!!! 12 POINTS!!!!!!!
The formula for the volume, V, of a right rectangular pyramid is one-third its base length, l, times its base width, w, times its height, h. Which of the equations below are equivalent to the formula described?
-----Note: more than one must be used-----
ANSWER OPTIONS:
* l = V over 3hw
* w = V over 3lh
* l = 3V over wh
* h = 3Vl over w
* w = 3V over lh
* h = V over 3lw
Write a two-column proof
it says Given: the top number is 2x+6 and the bottom number is 96. Prove: x = 45
It's a little blurry sorry. Please help me I have never understood two-column proofs and they don't make sense to me
Thank you
If f(x)=x+7 and g(x)=1/x-13 what is the domain of (f*g)(x)
A. {x| x = 6}
B. {x| x = -6}
C. {x| x = -13}
D. {x| x = 13}
Answer:
The Answer is B
Step-by-step explanation:
If you do the math, this would be the conclusion you would come up with.
This is the first part of a three-part problem. express $18\sqrt 8$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $b$ is as small as possible.
Answer:
[tex]18\sqrt{8}=36\sqrt{2}[/tex]
Where a=36 and b=2 with b is small.
Step-by-step explanation:
Given problem [tex]18\sqrt{8}[/tex]
We have to write the given problem in form of [tex]a\sqrt{b}[/tex], where a and b are integers and b is as small as possible.
Consider the given problem [tex]18\sqrt{8}[/tex]
8 can be written in factored form as 2 × 2 × 2
Substitute, in given problem, we have
[tex]18\sqrt{8}=18\sqrt{2 \times 2\times 2}[/tex]
This can be written as,
[tex]18\sqrt{2 \times 2\times 2}=18(\sqrt{4}\sqrt{2})[/tex]
We know [tex]\sqrt{4}=2[/tex] , thus,
[tex]18(\sqrt{4}\sqrt{2})=18\cdot 2\sqrt{2}=36\sqrt{2}[/tex]
Thus,[tex]18\sqrt{8}=36\sqrt{2}[/tex]
Where a=36 and b=2 with b is small.
Each of two trapezoidal prisms has a volume of 120 cubic centimeters. the prisms have no dimensions in common. give possible dimensions for each prism.
NEED HELP ASAP
What are the restrictions of:
(n^2 -6) / (n^2 -2)
5 and 2
+/- SQRT5 and +/- SQRT2
5 and -2
In this activity, you'll calculate a probability and use it to predict the result of repeating a simple chance-based trial many times.
You are in charge of the casino night game area at a fundraising event. In one of the games, called Odd Odds, the player rolls two six-sided dice. The player gets points if the product of the two numbers rolled is odd. So, success in the game depends on the chances of getting an odd number for the result.
1)Find the number of outcomes in the sample space, n(S), of the trial of this game.
2)List and count all the outcomes for event E, in which the product of the two numbers rolled is odd.
3)Find the probability of getting an odd number. In this case, you will calculate the probability, P(E), of event E, in which the product of the two numbers rolled is odd. Write the probability as a fraction reduced to lowest terms and as a decimal correct to two places.
Answer:
Step-by-step explanation:
They are saying the player gets points if the PRODUCT of the two numbers rolled is odd not the SUM So the answer should be
(1,3) (1,5) (3,1) (3,3) (3,5) (5,1)(5,3)(5,5) which is 9 out of 36 which would be 1/4 or 0.25
Final answer:
In this activity, the student needs to calculate the number of outcomes in the sample space, list and count the outcomes for event E, and find the probability of getting an odd number.
P(E) = 9/36 = 1/4 = 0.25.
Explanation:
To find the number of outcomes in the sample space (n(S)) of the trial, we need to consider all the possible combinations of rolling two six-sided dice. Since each die has six sides, the total number of outcomes for each die is 6. To find the total outcomes in the sample space, we multiply the outcomes for each die: n(S) = 6 * 6 = 36.
In this game, we are interested in the outcomes where the product of the two numbers rolled is odd. To list and count these outcomes, we need to consider the combinations where one or both of the numbers rolled is odd. By listing all the possible outcomes, we have: (1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5). There are 9 outcomes for event E.
To find the probability of getting an odd number, we need to divide the number of outcomes for event E by the total number of outcomes in the sample space. P(E) = 9/36 = 1/4 = 0.25.