Answer:
True
Step-by-step explanation:
The second derivative of an implicit function can be found using sequential differentiation of the initial equation F(x,y)=0. At the first step, we get the first derivative in the form y′=f1(x,y). On the next step, we find the second derivative, which can be expressed in terms of the variables x and y as y′′=f2(x,y).
I hope this is correct or at least helps incase I understood the directions above incorrect
Petra jogs 2 miles in 22 minutes. At this rate, how long would it take her to jog 11 miles?
Petra would take ___ minutes to jog 11 miles.
Answer:
11 minute
Step-by-step explanation:
22 min/2 miles
11 min/ 1 mile
22 minutes ÷2=11 minutes for 1 mile
11 ×11=121 for 11 miles
I need help with this question.
1. The function f that determines the height of the beanstalk is \(h(t) = 7 * (1.15)^t\)
2. f(1)/f(0) = 1.15.
3. f(2)/f(1) = 1.149.
What function f determines the height of the beanstalk?Let h be the height of the beanstalk in inches after t days. Then we can write: \(h(t) = 7 * (1.15)^t\) where 1.15 is the factor by which the height increases each day.
Computation of the value of the following ration:i. To compute f(1)/f(0), we need to substitute t = 1 and t = 0 into the function f and divide:
f(1)/f(0) = [7 * (1.15)^1] / [7 * (1.15)^0]
f(1)/f(0) = 1.15/1
f(1)/f(0) = 1.15
ii. To compute f(2)/f(1), we need to substitute t = 2 and t = 1 into the function f and divide:
f(2)/f(1) = [7 * (1.15)^2] / [7 * (1.15)^1]
f(2)/f(1)= (1.3225) / (1.15)
f(2)/f(1) = 1.149
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A transponder for a toll bridge costs $17.50. With the transponder, the toll is $5 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $7.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
Answer: you would need to cross the bridge 5 times
Step-by-step explanation:
costing a total of $42.50 for each option.
hope this helps
There are 176 slices of bread in 8 loaves
If there are the same number of slices in each loaf how many slices of bread are in 5 loaves
Answer:
110
Step-by-step explanation:
Divide 176 by 8 to get 22 and then multiply 22 by 5 to get 110
Answer:
110
Step-by-step explanation:
176/8 is 22 so there are 22 slices per loaf.
To find the amount of slices in 5 loaves you multiply 22 and 5 to get 110.
Hope this helped :)
What is the area of a circle (added a screen shot)
Answer:
2pi(5) - 2pi(3)
Step-by-step explanation:
hopefully that helped. just use formula and plug in the radius (:
Answer:
28.26 cm ^2
Step-by-step explanation:
A= \(\pi\) r ^2
A= 3.14 x 3 x 3
A = 28.26 cm ^2
Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
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Please answer quickly!!! I'll give BRAINLIEST!!!!! I attached the picture.
Answer: No.
Step-by-step explanation:
The graph doesn't represent a linear, exponential, or quadratic function.
An example of a linear function is a straight line.
An example of a quadratic function is like a smile.
An example of an exponential function is a curved line.
So hence, this doesn't represent a function.
Reply below if you have any questions of concerns.
You're welcome!
- Nerdworm
a) Al usar un microscopio el microscopio se amplía una célula 400 veces. Escribe el factor de ampliación como cociente o como escala.
b) La imagen de una célula usando dicho microscopio mide 1,5 mm ¿ Cuánto mide la célula en la realidad?
Answer:
x = 0,00375 mm
Step-by-step explanation:
a) El factor de ampliación es 400/1 es decir el tamaño real se verá ampliado 400 veces mediante el uso del microscopio
b) De acuerdo a lo establecido en la respuesta a la pregunta referida en a (anterior) podemos establecer una regla de tres, según:
Si al microscopio el tamaño de la célula es 1,5 mm, cual será el tamaño verdadero ( que es reducido 400 en relación al que veo en el microscopio)
Es decir 1,5 mm ⇒ 400
x (mm) ⇒ 1 (tamaño real de la célula)
Entonces
x = 1,5 /400
x = 0,00375 mm
What is the following quotient?
6square + 11square divided by
5square +3 square
Which one is the correct choice?
Therefore, the correct response From these integral is option D is.
``` 10 + ∫₅¹ R(t) dt
What is an integral?An integral is a mathematical construct in mathematics that can be used to represent an area or a generalization of an area. It computes volumes, areas, and their generalizations. Computing an integral is the process of integration.
Integration can be used, for instance, to determine the area under a curve connecting two points on a graph. The integral of the rate function R(t) with respect to time t can be used to describe how much water is present in a tank.
The following equation can be used to determine how much water is in the tank at time t = 5 if there are 10 gallons of water in the tank at time t = 1.
``` 10 + ∫₅¹ R(t) dt
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A rectangle is ____ a rhombus.
A. Always
B. Sometimes
C. Never
Answer:
for a rectangle to be rhombus its sides must be equal. when its satisfied we have square. so a rectangle can be a rhombus only if it has extra properties which would make it a square.
A rectangle is sometimes a rhombus. The correct option is B. Sometimes.
What is a rectangle?A rectangle is a quadrilateral with four right angles, meaning its interior angles measure 90 degrees each. In contrast, a rhombus is a quadrilateral with four sides of equal length, but its angles are not necessarily right angles.
The rectangle is a special type of parallelogram where all angles are right angles. Its properties include having two pairs of parallel sides and diagonals that are equal in length and bisect each other. Rectangles are commonly encountered in everyday life, from the shape of windows and doors to the screens of electronic devices.
Since a rectangle can have equal side lengths, it can also be a rhombus, but only when all four angles measure 90 degrees. Therefore, while a rectangle can be a rhombus under specific conditions, it is not always the case, leading to the answer of "Sometimes."
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Which choice correctly expresses the number below in the scientific notation?
The APR on my credit card is 16.8%. What is the monthly interest rate?
Based on a sample of 400 people, 22% owned cats
The p value is
Answer:
88 people
Step-by-step explanation:
400*22/100
4*22
88 people
Based on a sample of 400 people, the 88 people owned cats.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that on a sample of 400 people, 22% owned cats
Let consider that the number of cats are p then we have;
22% of 400 = p
Thus, p = 400 x 22/100
p = 4 x 22
p = 88 people
The p value is 88
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Use the following sample data to answer the questions below
Favorite cola Number of responses
29
Coke
Pepsi
Diet Coke
Diet Pepsi
Coke Zero
Other
21
37.
28
19.
16
150
150
2
17)
a. Find the Probability of selecting a Coke person from this group.
Answer:
To find the probability of selecting a Coke person from this group, we need to divide the number of people who prefer Coke by the total number of people in the group.
The number of people who prefer Coke is 29. The total number of people in the group is 29 + 21 + 37 + 28 + 19 + 16 + 150 + 150 + 2 = 452.
Therefore, the probability of selecting a Coke person from this group is:
P(Coke) = Number of people who prefer Coke / Total number of people in the group = 29 / 452 ≈ 0.064
So the probability of selecting a Coke person from this group is approximately 0.064.
I hope this helps! Let me know if you have any other questions.
Step-by-step explanation:
Content
Calculator
|||
m³
A rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Basic
4.07 Quiz: Finding the Volume of a Prism
7.
If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.
How to find the volume of the prism?The volume of a rectangular prism is given by the formula:
Volume = length x width x height
Substituting the given values, we get:
Volume = 2 meters x 4 meters x 2 meters
Simplifying this expression, we get:
Volume = 16 cubic meters
Therefore, the volume of the prism is 16 cubic meters.
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Answer correctly and I will mark you brainless ❤️
What numbers add up to 3 but multiply 18
Answer:
the two numbers that add up to 3 but multiply to 18 are 6 and -3.
Step-by-step explanation:
We can start by using algebra to solve for the two numbers. Let x and y be the two numbers we are looking for. Then we can write two equations:
x + y = 3 (since the numbers add up to 3)
xy = 18 (since the numbers multiply to 18)
We can solve for one of the variables in terms of the other using the first equation. For example, we can solve for y:
y = 3 - x
Then we can substitute this expression for y into the second equation:
x(3 - x) = 18
Expanding the left side and simplifying, we get:
3x - x^2 = 18
Rearranging and factoring, we get:
x^2 - 3x + 18 = 0
(x - 3)(x - 6) = 0
Therefore, either x = 3 or x = 6. If x = 3, then y = 3 - x = 0, which doesn't work since we want two numbers that multiply to 18. So the two numbers are x = 6 and y = 3 - x = -3.
So the two numbers that add up to 3 but multiply to 18 are 6 and -3.
A student had a 30 question quiz. The students got 24 questions correct on the quiz.
What percent did the student earn on the quiz?
The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. (1 point)
Function 1
(look at the graph below)
Function 2
f(x) = −x2 + 2x − 15
Function 1 has the larger maximum at (4, 1).
Function 1 has the larger maximum at (1, 4).
Function 2 has the larger maximum at (−14, 1).
Function 2 has the larger maximum at (1, −14).
A function that has a greater maximum include the following: A. Function 1 has a larger maximum at (4, 1).
How to determine the function that has a larger maximum?In order to determine the maximum value of function 2, we would have to take the first derivative with respect to x and then, substitute this x-value into the original function while equating it to zero (0), and then evaluate as follows;
f(x) = −x² + 2x - 15
f(x) = −2x + 2
0 = −2x + 2
2x = 2
x = 2/2
x = 1
For the maximum value of function 2, we have:
f(1) = −(1)² + 2(1) - 15
f(1) = -14
For the maximum value of function 1, we can logically deduce that it is equal to 1 based on the graph in image attached above.
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The theater was full when the movie began. Seventy-six people left
before the movie ended. One hundred twenty-four people remained.
How many people were in the theater when it was full?
The number of people were 200 in the theater when it was full.
What is a theater?
In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.
Given that, the theater was full when the movie began.
76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.
Apply algebraical operation that is addition to find the required answer.
Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.
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2) A bag contains 6 black and 8 white marbles. One marble is drawn at random.What is the probability that the marble drawn is black? *
The Probablity is calculated as
\(P(b)=\frac{b}{\text{total}}\)Here P(b) is the probablity of black marble and b is the number of black marbles. So
\(P(b)=\frac{6}{6+8}=\frac{6}{14}=\frac{3}{7}\)So out of the seven balls drawn, three will be black.
A researcher wants to make a 99% confidence interval for a population proportion. A preliminary sample produced the sample proportion of 0.46. The sample size that would limit the margin of error to be within 0.061 of the population proportion is:
Answer:
the sample size that would limit margin of error is 443
Step-by-step explanation:
The confidence level = 99 percent = 0.99
1 - alpha = 0.99
Alpha = 1 - 0.99
= 0.01
The critical z value for alpha = 0.01 = 2.576
Sample proportion = 0.46
Margin of error E = 0.061
Sample size = p(1-p)(Z/E)²
= 0.46(1-0.46) x (2.576/0.061)²
= 0.46(0.54)(42.23)²
= 0.2484 x 1783.37
= 442.989
= 443
The sample size would be 443
Julio invests $6,100 into an account that earns 5.2% annual compound interest. If Julio makes no additional deposits or withdrawals, which best represents the amount of interest Julio will earn after 8 years?
A $15,250.73
B $2,120.73
C $3050.73
D $9150.73
D) $9150.73
Step-by-step explanation:
Simple compound irate =
principal*growth rate^years
or
V(t) = p*g^t
Where g = 100% + the given growth rate,
in this case, 5.2%
So,
V(8) = 6,100*1.052^8
V(8) = 9150.73
What is 10.3607 rounded to the nearest thousandth?
Answer: 10.361
Step-by-step explanation:
What are the center and radius if the equation (x-2)^2 + (y-9)^2
Step-by-step explanation:
(x-2)^2 + (y-9)^2 = r^2
this is of the form fora circle with center h,k and radius r
(x-h)^2 + (y-k)^2 = r^2
for the equation given center = 2, 9 and radius = r
Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit.
(Hint: Assume that the central point of each arc is its corresponding vertex.)
The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.
To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.
First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.
In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.
Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.
Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.
Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.
Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.
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29.4.3 Quiz: Parabolas with Vertices at the Origin
Question 5 of 10
The equation below describes a parabola. If a is negative, which way does the
parabola open?
y=ax²2²
O A. Right
B. Down
OC. Up
OD. Left
SUBMIT
The equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. option B.
The equation y = ax² represents a parabola with its vertex at the origin. In this case, if the coefficient 'a' is negative, it determines the direction in which the parabola opens.
When 'a' is negative, the parabola opens downward. This means that the vertex, which is at the origin (0, 0), represents the highest point on the graph, and the parabola curves downward on both sides.
To understand this concept, let's consider the basic equation y = x², which represents a standard upward-opening parabola. As 'a' increases, the parabola becomes narrower. Conversely, when 'a' becomes negative, it flips the parabola upside down, resulting in a downward-opening parabola.
For example, if we have the equation y = -x², the negative coefficient causes the parabola to open downward. The vertex remains at the origin, but the shape of the parabola is now inverted.
In summary, when the equation of a parabola with its vertex at the origin includes a negative coefficient 'a', the parabola opens downward. This can be visually represented as a U-shape curving downward from the origin. So Optyion B is correct.
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PLS HELP I DONT UNDERSTAND :( WILL MARK BRAINLIEST+
Answer:
C
Step-by-step explanation:
functions can only have domains that are different numbers, (first number) the rest repeat the domain and that makes it not a function
Answer:
C
Step-by-step explanation:
A set of pairs is a function if and only if there is only one y-value for each x-coordinate. In other words, the x-coordinate cannot repeat. If it does, then it must equal the same thing.
Let's go through each of the choices.
For A, -5 repeats twice. It simultaneously equals both 4 and -2. This cannot be true if this is a function, so A is not correct.
For B, 2 repeats twice. It equals both 6 and -6. So, this is also not a function.
For C, no digits are repeating. Thus, this is a function.
To make sure, in D ,-3 is repeating. It is both -4 and 8, so this is not a function.
So, our answer is C.
And we're done!