The unit rates for each animal in mass per heart rate (beats/minute) are as follows:
Animal Unit RateCat 13.33g/1 beat per min
Cow 12,307.69g/1 beat per min
Hamster 1.36g/1 beat per min
Horse 2,666.67g/1 beat per min
What is the unit rate?The unit rate is the ratio of two different variables expressed in a common denominator.
The unit rate is the quotient of the division operation between, for instance, the mass of an animal and its heart rate.
In this instance, the mass of the animal is the numerator with the heart rate used as the denominator.
Animal Heart Rate Mass (g) Unit Rate
(beats/min) (mass per heart rate)
Cat 150 2,000 13.33g/1 beat per min (2,000/150)
Cow 65 800,000 12,307.69g/1 beat per min (800,000/65)
Hamster 44 60 1.36g/1 beat per min (60/44)
Horse 450 1,200,000 2,666.67g/1 beat per min (1,200,000/450)
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An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled. Aquarium 20 15 Height (inches) 10 5 1 2 3 4 5 6 7 8 9 Time (seconds) Which statement best describes the rate of change for this situation? A The height of the water increases 20 inches per second. B The height of the water increases 1 inch per second. C The height of the water increases 5 inches per second. D The height of the water increases 2.5 inches per second.
Answer:d
Step-by-step explanation:
I am lost on this question i found both but it keeps on telling me i am incorrect
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
I Need the Answer to this !!!!!
3(x-2)= 9
Answer:
x=5
Step-by-step explanation:
Answer : x = 5
3(х-2)= 9
(3)(x) - (3)(2) = 9
3x - 6 = 9
3x = 9 + 6
x = 15 ÷ 3
x = 5 Answer.
Solution set: {5}
Hope that helps...
PLZ HELP I WILL MARK BRAINLEST!
Answer:
Most likely B.}21 inches,
Please mark me brainliest
Answer:
The answer is B, 21 inches
Step-by-step explanation:
You find what happened with the width which is time 3. Then you multiply 7 by 3 to get 21!
Hopefully that helps! Please mark BRAINILEST
Type of matter where all of
the atoms that make up the
matter are exactly the same
Answer:
Pure substance
Step-by-step explanation:
A pure substance is matter that is uniform throughout and has consistent properties
The residual plot shows the residuals for the day of the month and the amount in Kali’s checking account. Which statement best assesses the linearity of the relationship between the day of the month and account balance if the scatterplot appears to be reasonably linear?
A) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
B) Because the residual plot has an obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
C) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
D) Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is not appropriate to use the line of best fit to predict the account balance based on the day of the month.
The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.
When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).
If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.
Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.
Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.
In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.
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Answer:
person above
Step-by-step explanation:
the obvious
Approximate the measure in degrees of angle in a right triangle given that the side adjacent to angle is 5 and the hypotenuse of the triangle is 9 units. (Round your answer to one decimal place.)
Measure of perpendicular side for the given right triangle with adjacent side 5units and hypotenuse 9 unit is equal to 7.5 units(Upto one decimal place).
As given in the question,
In a right triangle,
Measure of a adjacent side = 5units
Measure of a hypotenuse = 9units
Let x be the measure of the perpendicular side
Using Pythagoras theorem we get,
(Hypotenuse)² = (Adjacent side)² +(perpendicular side)²
⇒ (9)² = (5)² + (x)²
⇒ (x)² = (9)² - (5)²
⇒x² = 81 -25
⇒ x = √56
⇒ x= 7.4833..
⇒x = 7.5 units(round upto one decimal)
Therefore, measure of perpendicular side for the given right triangle with adjacent side 5units and hypotenuse 9 unit is equal to 7.5 units(Upto one decimal place).
The complete question is :
Approximate the measure in degrees of angle in a right triangle given that the side adjacent to angle is 5 and the hypotenuse of the triangle is 9 units. Find the measure of perpendicular side.(Round your answer to one decimal place.)
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Which lines are the directrices of the ellipse?
x = −4.25 and x = 8.25
x = −3.25 and x = 9.25
y = −4.25 and y = 8.25
y = −3.25 and y = 9.25
The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.
How to calculate the ellipse?From the information given, the equation of parabola will be:
= (x - 3)²/5² + (y - 2)²/3² = 1
Hence, h = 3, k = 2, a = 5, b = 3
e = ✓1 - ✓3²/5²
E = 4/5 = 0.8
The directix will be:
x = 3 + 5/0.8
x = 9.25
x = 3 - 5/0.8
x = -3.25
Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.
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I need all the spaces filled in please :)
Answer:
3x + y = -16
Step-by-step explanation:
Explanation:-
Given a system of equations are
5x+6y =-5
- 2x - 5y = -11
multiply '1' and Adding two system of equtions
+ 1 (5x + 6y = -5)
+ 1 ( -2x - 5y = -11)
3x + y = -16
Final answer:-
5x + 6y = -5
-2x - 5y = -11
3x + y = -16
An airplane flies at 500 mph with a direction of 135° relative to the air. The plane experiences a wind that blows 60 mph with a direction of 60°.Part A: Write each of the vectors in linear form. Show all necessary calculations. (6 points)Part B: Find the sum of the vectors. Show all necessary calculations. (2 points)Part C: Find the true speed and direction of the airplane. Round the speed to the thousandths place and the direction to the nearest degree. Show all necessary calculations. (7 points)
The diagram above shows the vector for the plane, which is 500 mph at 135 degrees, along with the vector for the wind, which is 60 mph at 60 degrees. One thing that we know about vectors is that we can move them around, so long as we don't change their magnitude or direction, so, we can draw a diagram like this:
We moved the wind vector on top of the plane vector, and the dotted line represents the sum of the two vectors. Lets now look at each vector separately and solve part A:
The one above is the plane vector. To find an equation in linear form, we have to solve for its components using trigonometry. Note that there is a 45 degrees in there because 180 - 135 is 45, and this makes calculations easier. The cosine of 45 degrees is x/500. We can use this to solve for the x component:
\(\begin{gathered} cos(45)=\frac{x}{500} \\ \frac{\sqrt[\placeholder{⬚}]{2}}{2}*500=x \\ x=250\sqrt[\placeholder{⬚}]{2}\approx353.553 \end{gathered}\)Note that x is in the negative direction, so our actual component is -353.55. Let's do the same for the y component, given that sin(45) is y/500:
\(\begin{gathered} sin(45)=\frac{y}{500} \\ \frac{\sqrt[]{2}}{2}*500=y \\ y=250\sqrt[\placeholder{⬚}]{2}\approx353.553 \end{gathered}\)Therefore, our plane vector is -353.553i + 353.553j (i and j are direction vectors)
We can now do the same thing for the wind vector:
Our x component is the following:
\(\begin{gathered} cos(60)=\frac{x}{60} \\ \frac{1}{2}*60=x \\ x=30 \end{gathered}\)Our y component is the following:
\(\begin{gathered} sin(60)=\frac{y}{60} \\ \frac{\sqrt[]{3}}{2}*60=y \\ y=30\sqrt[\placeholder{⬚}]{3}\approx51.962 \end{gathered}\)Therefore, our wind vector is 30i + 51.962j
For part B, we have to find the sum of the plane and wind vectors. All we have to do for that is add up the i components and add up the j components. The calculation is below:
\(\begin{gathered} -353.553i+353.553j+(30i+51.962j)=(-353.553+30)i+(353.553+51.962)j \\ =-323.553i+405.515j \end{gathered}\)Therefore, the sum of the vectors is -323.553i + 405.515j
For part C, we have to find the magnitude and direction of the new vector that we calculated (the sum of the plane and wind vectors). Below is the graph for the sum of the vectors:
To find r, which is the true speed of the plane we can use the Pythagorean theorem (since the triangle above is a right triangle). The Pythagorean theorem says that the hypotenuse squared is the sum of each of the legs squared. Let's calculate r:
\(\begin{gathered} r^2=323.553^2+405.515^2 \\ r^2=104686.544+164442.415 \\ r^2=269128.959 \\ r\approx518.776 \end{gathered}\)To find theta, which is the direction, we can take use the fact that tangent of theta is opposite over adjacent. Therefore, theta is the inverse tangent of the opposite side (405.515) over the adjacent side (-323.553). The calculation is below:
\(\theta=tan^{-1}(\frac{405.515}{-323.553})=tan^{-1}(1.253)=128.593\approx129\)Therefore, the true speed is 518.776 mph and the direction of the airplane is 129 degrees relative to the air
Part A: plane vector is -353.553i + 353.553j, wind vector is 30i + 51.962j
Part B: sum of the vectors is -323.553i + 405.515j
Part C: true speed is 518.776 mph and the direction of the airplane is 129 degrees relative to the air
9. division fractions problems
You have 3 3/5 pizzas. You and yours 3 friends eat while watvhing a movie. If you each ate the same amount how much of the pizza does each person eat?
Answer:
9/10 of a pizza each
Step-by-step explanation:
3 whole pizzas is 30/10 and 3/5 made into /10 is 6/10 and if add them you will get 36/10 and dived that in 4 you will get 9/10
Each roll of tape is 30.5 feet long. A box contains 454 rolls of tape. How many yards are there in total
Answer:
Answer: 4615.66667
Steps: 1 foot=0.33333
total feets=30.5×454=13847
13847 feets=46.1566667 yards
QUICK PLS 30 POINTS
For a quadratic function, f, f(0) = 15.
Which equation could represent f?
A: f(x)=x²-8x+15
B: f(x)=(x-3)(x+5)
C: f(x)=x²+3x+5
D: f(x)=(x-15)²
Answer:
The answer is A
Step-by-step explanation:
You can use a graphing calculator (geogebra) It works
Which of the following shows a 90° counterclockwise rotation of the blue figure
Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48
Answer:
B. 16°Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
x = 16
Hence the value of x is 16°
HELP! ALgebra 2 Honors
How do you find the x-intercept and y-intercept of
f(x)-2|x+4|-3
Teri tau KO tailai Mubarak ha bak
Reflections of Shapes
Graph the image of the figure using the transforma
1) reflection across the x-axis
A graph of the image of the figure after a reflection across the x-axis is shown below.
What is a reflection over the x-axis?In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).
This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.
By applying a reflection over or across the x-axis to triangle GLQ, we have;
(x, y) → (x, -y)
G (3, 4) → (3, -(4)) = G' (3, -4)
L (1, 2) → (1, -(2)) = L' (1, -2).
Q (4, -1) → (4, -(-1)) = Q' (4, 1)
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\( \rm \sum_{n = 0}^ \infty \frac{( - 1) {}^{n} \zeta(n) }{ {2}^{n} } \\ \)
Assuming the correction I suggested in comments, our sum is
\(\displaystyle S = \sum_{n=2}^\infty \frac{(-1)^n \zeta(n)}{2^n}\)
Rewrite with the definition of the Riemann zeta function, and condense the subsequent double series.
\(\displaystyle S = \sum_{n=2}^\infty \frac{(-1)^n}{2^n} \sum_{m=1}^\infty \frac1{m^n} \\\\ ~~~~ = \sum_{n=2}^\infty \sum_{m=1}^\infty \left(-\frac1{2m}\right)^n\)
The condition for Fubini's theorem is met so we can interchange the sums.
\(\displaystyle S = \sum_{m=1}^\infty \sum_{n=2}^\infty \left(-\frac1{2m}\right)^n\)
Sum the geometric series.
\(\displaystyle S = \sum_{m=1}^\infty \left(\sum_{n=0}^\infty \left(-\frac1{2m}\right) - 1 + \frac1{2m}\right) \\\\ ~~~~ = \sum_{m=1}^\infty \left(\frac1{1+\frac1{2m}} - 1 + \frac1{2m}\right) \\\\ ~~~~ = \sum_{m=1}^\infty \left(\frac1{2m} - \frac1{2m+1}\right)\)
Considering the terms in the summand as even/odd parts, we can condense this further to the alternating series
\(\displaystyle S = \sum_{m=2}^\infty \frac{(-1)^m}m\)
and recalling the power series
\(\displaystyle \ln(1+x) = - \sum_{n=1}^\infty \frac{(-x)^n}n\)
we let \(x=1\); it follows that
\(\displaystyle S = \sum_{m=1}^\infty \frac{(-1)^m}m + 1 = \boxed{1 - \ln(2)}\)
Solve the inequality.
Answer:
\(m \geqslant \frac{3}{4} \)
The volume of a rectangular prism is 5,890.625 cm3. If the height is 14.5 cm and the length is 25 cm, what is the value of the width?
Answer:
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.
Substituting these values into the formula, we get:
5,890.625 = 25w(14.5)
5,890.625 = 362.5w
w = 16.25
Therefore, the width of the rectangular prism is 16.25 cm.
Answer:
It's A
Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25
(I am giving branlest) (plz help only if you understand )
Which expression has the sum of twenty six twentieths?
two fifths plus four tenths
four fifths plus two fourths
one half plus three tenths
three fourths plus two fifths
b. four fifths plus two fourths
Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.
Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.
4/5 20/5 = 4 4×4 = 16 so 4/5 is equivalent to 16/20
2/4 20/4 = 5 5×2 = 10 so 2/4 is equivalent to 10/20
Add: 16/20 + 10/20 = 26/20
brainliest me
What are the x-intercepts and the y-intercepts of the graph of 12x−3y=36
Answer:
Step-by-step explanation:
12x −3y=36 ⇔ 3y = 12x - 36
y = 4x - 12
y = 0 ⇔ 4x - 12 = 0 ⇔ 4x = 12 ⇔ x = 12/4 = 3
So (0 ; - 12) and (3 ; 0)
Answer:
x-intercept=3, y-intercept=-12
Step-by-step explanation:
at x-intercept y=0 such that:
12x-3(0)=36
12x=36
\(x=\frac{36}{12} =3\)
additionally, at y-intercept x=0 such that
12(0)-3y=36
-3y=36
\(y= \frac{36}{-3}=-12\)
Help me!
“Average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. What is the percent increase in the average cost of a dozen oranges from October 2020 to 2021?”
Answer:
The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.
Step-by-step explanation:
To find the percent increase in the average cost of a dozen oranges from October 2020 to 2021, we need to first calculate the difference in the average cost and then divide it by the original average cost, and finally multiply by 100 to get the percentage increase.
The difference in the average cost of a dozen oranges between October 2020 and October 2021 is:
$5.59 - $1.72 = $3.87
To calculate the percent increase, we need to divide the difference by the original average cost and multiply by 100:
Percent increase = (difference/original average cost) x 100
Percent increase = ($3.87/$1.72) x 100
Percent increase = 224.41%
Therefore, the percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 224.41%.
Step by step (for more help understanding):
The problem states that the average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. We need to find the percent increase in the average cost from October 2020 to October 2021.
Step 1: Find the difference in the average cost
To find the difference in the average cost, we subtract the original average cost from the new average cost.
$5.59 - $1.72 = $3.87
This means that the average cost of a dozen oranges increased by $3.87 from October 2020 to October 2021.
Step 2: Find the ratio of the difference to the original cost
To find the percentage increase, we need to express the difference as a percentage of the original cost. We do this by dividing the difference by the original cost.
$3.87 / $1.72 = 2.25
This means that the new average cost is 2.25 times the original average cost.
Step 3: Convert the ratio to a percentage
To convert the ratio to a percentage, we multiply it by 100.
2.25 x 100 = 225%
Step 4: Round the percentage to one or two decimal places
Finally, we round the percentage to one or two decimal places, depending on the level of accuracy required.
The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.
Hope this helps, If not I'm sorry. If you need more help, ask me! :]
Can someone help please ASAP
Answer:
4
Step-by-step explanation:
2 · 4 = 8
8 + 4 = 12
the value of x is 4
If V= {i}, subset of V are?
Answer:
Defintion. A subset W of a vector space V is a subspace if
(1) W is non-empty
(2) For every v, ¯ w¯ ∈ W and a, b ∈ F, av¯ + bw¯ ∈ W.
Expressions like av¯ + bw¯, or more generally
X
k
i=1
aiv¯ + i
are called linear combinations. So a non-empty subset of V is a subspace if it is
closed under linear combinations. Much of today’s class will focus on properties of
subsets and subspaces detected by various conditions on linear combinations.
Theorem. If W is a subspace of V , then W is a vector space over F with operations
coming from those of V .
In particular, since all of those axioms are satisfied for V , then they are for W.
We only have to check closure!
Examples:
Defintion. Let F
n = {(a1, . . . , an)|ai ∈ F} with coordinate-wise addition and scalar
multiplication.
This gives us a few examples. Let W ⊂ F
n be those points which are zero except
in the first coordinate:
W = {(a, 0, . . . , 0)} ⊂ F
n
.
Then W is a subspace, since
a · (α, 0, . . . , 0) + b · (β, 0, . . . , 0) = (aα + bβ, 0, . . . , 0) ∈ W.
If F = R, then W0 = {(a1, . . . , an)|ai ≥ 0} is not a subspace. It’s closed under
addition, but not scalar multiplication.
We have a number of ways to build new subspaces from old.
Proposition. If Wi for i ∈ I is a collection of subspaces of V , then
W =
\
i∈I
Wi = {w¯ ∈ V |w¯ ∈ Wi∀i ∈ I}
is a subspace.
Proof. Let ¯v, w¯ ∈ W. Then for all i ∈ I, ¯v, w¯ ∈ Wi
, by definition. Since each Wi
is
a subspace, we then learn that for all a, b ∈ F,
av¯ + bw¯ ∈ Wi
,
and hence av¯ + bw¯ ∈ W. ¤
Thought question: Why is this never empty?
The union is a little trickier.
Proposition. W1 ∪ W2 is a subspace iff W1 ⊂ W2 or W2 ⊂ W1.
i hope this helped have a nice day/night :)
cos(θ)=−2√5 / 5
If (θ) is an angle in quadrant ll what is the value of sin (θ)
The exact value of sin(θ) given that cos(θ) = -2√5/5 is √5/5
How to determine the value of sin(θ):The given trigonometry ratio is
cos(θ) = -2√5/5
By the trigonometry ratio, we have
sin²(θ) + cos²(θ) = 1
Substitute cos(θ) = -2√5/5 into the above equation
So, we have the following representation
sin²(θ) + (-2√5/5)² = 1
Evaluate the exponent
sin²(θ) + 4/5 = 1
Subtract 4/5 from both sides
This gives
sin²(θ) = 1/5
Take the square root of both sides
√sin²(θ) = √1/5
Evaluate the square root
sin(θ) = ±1/√5
Sin is positive in quadrant II
So, we have
sin(θ) = 1/√5
Rationalize
sin(θ) = 1/√5 * √5/√5
This gives
sin(θ) = √5/5
This gives the value of sin(θ)
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the median is the ____ of an ordered data set
A. end
B. the most occurrences of a number
C. middle
D. average
Answer:
C. middle
Step-by-step explanation:
PLEASE HELP ASAP! WILL GIVE BRAINLEIST!
Find the area of the shaded region. Use pi = 3.14
Answer:
Step-by-step explanation:
Square
The side length of the square = 8 cm
The area of the square = s^2
The area of the square = 8^2 = 64
Circle
r = d/2
r = 8/2
r = 4
Area of the circle = pi r^2
Area of the circle = 3.14 * 16
Area of the circle = 50.24
Shaded Area
Area of the Shaded area = area Square - Area Circle
= 64 - 40.24
= 23.76
Where did the 45% come from. It states 55% in question
Answer:
is this a question......
Find the volume of the cylinder. Round your answer to the nearest hundredth, if necessary.
Answer:
The volume is 423.33 cubic millimeters.
Step-by-step explanation:
The formula for volume of a cylinder is given by:
V = πr^2h, where
V is the volume in cubic units,r is the radius of the circle,and h is the height (distance between the two circles in a cylinder).Step 1: Find radius, r, of the cylinder:
The diagram shows us the diameter, d, of the circle is 7 mm. Since the diameter is twice the radius, r, we can find r by dividing the diameter by 2:
r = d / 2
r = 7 / 2
r = 3.5 mm
Thus, the radius of the cylinder is 3.5 mm.
Step 2: Plug in values and round to the nearest hundredth to find the volume, V, of the cylinder:
Now we can plug in 3.5 for r and 11 for h to find V, the volume of the cylinder. We can round at the end.
V = π(3.5)^2(11)
V = π(12.25)(11)
V = 134.75π
V = 423.3296101
V = 423.33 mm^2
Thus, the volume of the cylinder is 423.33 cubic millimeters.