True or False? When Samantha includes more batteries in her project, the current in her project increases. Current is the independent variable in this situation. True False
Answers
Answer:
FALSE
Step-by-step explanation:
Since what Samantha is doing (varying) by including more batteries in her project, the number of batteries is the variable that she manipulates at her wish. So this is the independent variable.
The current increasing is the result to the changes she had made modifying the independent variable (number of batteries), therefore the current is the DEPENDENT variable (dependent on the number of batteries used).
So the statement is FALSE
Answer:
False
Step-by-step explanation:
Related Questions
Which of the given pairs of expressions are equivalent? Select all that apply.
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Answer:
sorry I don't know about this Question
Can someone please answer some of my questions?
*They are all math
Answers
Answer:
DA FA WERE ARE THE QUESTIONS?????????
Step-by-step explanation:
7) What does a multiplier of \( 1.2 \) mean?
Answers
A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.
A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.
A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.
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RAMP The height of a ramp can be modeled by f(x) = −1/12||x−24||+2 , where f(x) is the height of the ramp, in feet, and x is the distance from one side of the ramp. Graph the function on a separate piece of paper. Find and interpret the key features of the graph in the context of the situation.
Answers
The graph of the function is attached
The domain is the set of all real numbers and the range is (-∝, 2]
The graph of the functionFrom the question, we have the following parameters that can be used in our computation:
Function of the ramp height: f(x) = -1/2|x - 24| + 2
Next, we plot the ramp height function, f(x) = -1/2|x - 24| + 2 on a graph
See attachment for the graph of the function
The key features of the functionThe key features to explore here are the domain
The above equation is an absolute value equation
An absolute value equation can take any value as its input
This means that the domain is the set of all real numbers
When represented as an interval, we have
The domain is (-∝, ∝)
For the range
Here, we have
f(x) = -1/2|x - 24| + 2
The above equation is an absolute value function
An absolute value function represented as
y = a|x - h| + k
Where
Vertex = (h, k)
So, we have
Vertex = (24, 2)
Remove the x value
y = 2
Because the leading coefficient is negative, then the vertex is a maximum
i.e. (-∝, 2]
So, the range is (-∝, 2]
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7. Number Sense Hadori made this solid
figure by paper folding. What is the name
of the figure she made? How many faces,
edges, and vertices does it have?
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The Figure is Cube with edges= 12, Vertices =8 and faces= 6.
what is Cube?A solid shape with six square faces is called a cube. Because every square face has the same side length, each face is the same size. A cube has 8 vertices and 12 edges.
Given:
The figure made by Hadori have all square faces and a 3 D figure with square face is a Cube.
Now, The number of face in cube = 6
number of edges in cube = 12
number of vertices in cube = 8
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PLEASE HELP (just answer don’t explain)
Answers
Answer:
y = 25(1.2)^t
Step-by-step explanation:
Initial population = 25
The general exponential function is expressed as;
y = y0(1+r)^t
y0 is the initial population
at t = 1, r = 20% = 0.2
y = 25(1+0.2)^t
y = 25(1.2)^t
Hence the required equation is y = 25(1.2)^t
4 What transformation will the following function undergo? Click all that apply?y =- 2(x + 8)? – 5A) vertical stretch B) vertical compression C) reflection across the x-axis D) translated to the left 8 units E) translated to the right 8 units F) translated up 5 units G) translated down 5 units
Answers
Firstly, the function is shifted 5 units down because of the -5 at the end of the function. OPTION G
It is also translated 8 units to the left because +8 is added to x. OPTION D
The function is also vertically compressed. OPTION B
The graph will be depicted below:
adam can run 15 miles in 2 1/2 hours
Answers
The speed of Adam is 6 miles per hour.
According to the question,
We have the following following information:
Distance covered by Adam = 15 miles
Time taken by Adam to cover the given distance = \(2\frac{1}{2}\) hours
Now, we know that the following formula is used to find the speed:
Speed = distance covered/time taken
Speed = 15/\(2\frac{1}{2}\)
We will cover the time from the mixed fraction into a simple (proper or improper fraction).
Speed = 15/(5/2)
Speed = (15*2)/5
Speed = 30/5 miles per hour
Speed = 6 miles per hour
Hence, the speed of Adam when the distance is 15 miles is 6 miles per hour.
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A new solid waste treatment plant is to be constructed in Washington County. The initial installation will cost \( \$ 35 \) million (M). After 10 years, minor repair and renovation \( (R \& R) \) will
Answers
The capitalized cost for the solid waste treatment plant, based on a 6% MARR, is approximately $579 million.
To calculate the capitalized cost for the solid waste treatment plant, we need to determine the present value of all the costs over the project's lifespan.
The costs involved in the project are as follows:
Initial installation cost: $35 million.
Minor repair and renovation (R&R) after 10 years: $14 million.
Major R&R after 20 years: $18 million.
Operating and maintenance (O&M) costs each year, increasing at a compound rate of 6% per year.
First, let's calculate the present value of the O&M costs over the 20-year period: Using the TVM Factor Table calculator, the present value factor for a 6% MARR and 20 years is 10.206.
The total O&M costs over 20 years can be calculated as follows: O&M costs for the first year: $3 million. O&M costs for the subsequent years: $3 million * (1 + 0.06) + $3 million * (1 + 0.06)^2 + ... + $3 million * (1 + 0.06)^19.
Using the formula for the sum of a geometric series, the O&M costs over the 20-year period can be calculated as: O&M costs = $3 million * (1 - (1 + 0.06)^20) / (1 - (1 + 0.06)) = $3 million * (1 - 1.418519) / (-0.06) = $3 million * (-0.418519) / (-0.06) = $2.91038 million.
Now, let's calculate the present value of the costs: Present value of the initial installation cost: $35 million.
Present value of the minor R&R cost after 10 years: $14 million * 10.206 (present value factor for 6% MARR and 10 years) = $142.884 million. Present value of the major R&R cost after 20 years: $18 million * 10.206^2 (present value factor for 6% MARR and 20 years) = $371.001 million.
Present value of the O&M costs: $2.91038 million * 10.206 = $29.721 million. Finally, the capitalized cost of the solid waste treatment plant is the sum of all the present values: Capitalized cost = $35 million + $142.884 million + $371.001 million + $29.721 million = $578.606 million.
Rounding the final answer to the nearest whole number, the capitalized cost for the solid waste treatment plant is $579 million.
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The complete question is:
A new solid waste treatment plant is to be constructed in Washington County. The initial installation will cost $35 million (M). After 10 years, minor repair and renovation (R&R) will occur at a cost of $14M will be required; after 20 years, a major R&R costing $18M will be required. The investment pattern will repeat every 20 years. Each year during the 20 -year period, operating and maintenance (O\&M) costs will occur. The first year, O\&M costs will total $3M. Thereafter, O\&M costs will increase at a compound rate of 6% per year. Based on a 6% MARR, what is the capitalized cost for the solid waste treatment plant? Click here to access the TVM Factor Table calculator. $ Carry all interim calculations to 5 decimal places and then round your final answer to a whole number. The tolerance is ±25,000.
Sammy´s candy is solid in cylindircal containers that are 20 cm tall and have bases with a radius of 8 cm each.
Answers
Answer:
What is the question? Surface area? Volume?
Step-by-step explanation:
Eight times the sum of a number and 9 equals 7.
Answers
Answer:
8(x+9)=7
comment if you need anything else like solving for x
Two polygons are _____if and only if there is a correspondence among their
angles and among their sides so that all corresponding angles are congruent and all
corresponding sides are proportional.
Answers
Need help will give brainliest!!
Answers
Answer:
Step-by-step explanation:
zoom factor=1/2
new dimensions=11/2,16/2
or 5.5 ,8
Help ASAP!!!!!
Rodgers has a triangular prism that has an equilateral base. Also, the base of the prism is of the same length as its height. Pick all the possible shapes that can be obtained either by horizontal or vertical slicing through the prism.
OPTIONS
Square
Rectangle
Triangle
Pentagon
Answers
Answer:
Triangle and rectangle :)
An ice cube melts such that its volume decreases at a rate of -715cm3/hour. At what rate does the length of the sides of the cube decrease at the precise moment when the sides measure 19cm?(Reminder of the steps to follow: What is the known rate? What is the desired rate? What is the relationship between the variables? What is the implicit derivative with respect to time of the equation representing the relationship between the variables? What is the value of the rate being sought based on the known data?)
Answers
At the pecise moment when the sides of the cube measure 19 cm, the length of the sides decreases at a rate of approximately -0.6602 cm/hour
The known rate is the rate at which the volume of the ice cube decreases, which is -715 cm³/hour.
The desired rate is the rate at which the length of the sides of the cube decreases.
The relationship between the variables is given by the volume of a cube, V = s³, where V is the volume, and s is the side length.
We'll now find the implicit derivative with respect to time (t) of the equation representing the relationship between the variables. Differentiating both sides of the equation V = s³ with respect to time, we get:
dV/dt = 3s²(ds/dt)
We need to find the value of the rate being sought (ds/dt) based on the known data. We know dV/dt = -715 cm³/hour, and the side length s = 19 cm at the precise moment in question. Substitute these values into the equation from Step 4:
-715 = 3(19²)(ds/dt)
Now, solve for ds/dt:
ds/dt = -715 / (3 * 19²) = -715 / (3 * 361)
ds/dt = -715 / 1083 ≈ -0.6602 cm/hour
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Somebody help me quickly please:)
Answers
Answer:
the 3rd dot is correct........
Let u = <-4, 3>. Find the unit vector in the direction of u, and write your answer in component form. (2 points)
Answers
Answer: < -4/5, 3/5>
This is equivalent to writing < -0.8, 0.6 >
======================================================
Explanation:
Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.
We have a right triangle with legs of 4 and 3. The hypotenuse is \(\sqrt{4^2+3^2} = \sqrt{16+9} = \sqrt{25} = 5\) through use of the pythagorean theorem.
We have a 3-4-5 right triangle.
Therefore, the vector is 5 units long. This is the magnitude of the vector.
Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.
Therefore, we go from < -4, 3 > to < -4/5, 3/5 >
This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6
Side note: Unit vectors are useful in computer graphics.
12 people fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is
10 feet deep on ONE side of the street along a 1 mile section of a parade route.
Answers
Let B be an ordered basis for vector space V. If x, y eV then (x + y)s = Xs + ys Select one: True O False Let B.C be ordered bases for vector space V and write Ics for the matrix that transforms coordinate vectors from the B to the basis. Then I must be an invertible matrix Select one: O True False Let E, B be ordered bases for R" where is the standard basis and B = (b ..... b.). Then, 182= (b Select one: True O False
Answers
1. The statement "If x, y ∈ V then (x + y)s = Xs + ys" is TRUE. This statement is related to the property of linearity in a vector space.
Given that B is an ordered basis for vector space V, when you add two vectors x and y and then represent their sum with respect to the basis B, it is equivalent to representing x and y separately with respect to the basis B and then adding their coordinates.
2. The statement "I must be an invertible matrix" is true. Ics, the matrix that transforms coordinate vectors from the B to the C basis, must be an invertible matrix. Invertible matrices have a unique inverse, and the existence of the inverse ensures that the transformation between bases can be reversed.
3. The statement "182 = (b" is false. The given information is not sufficient to determine the relationship between the standard basis E and the basis B, represented by (b1,...,bn).
To find the relationship between the two bases, you would need more information about their components or a specific transformation matrix.
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Determine the measure of ∠Y. images attached
Answers
Answer:
The answer is option CStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y
To find the value of ∠Y we use tan
We have
\( \tan(∠Y) = \frac{25}{20} \\ \tan(∠Y) = \frac{5}{4} \\ ∠Y = { \tan^{ - 1} } \frac{5}{4} \\ ∠Y = 51.34019...\)
We have the final answer as
51.34°Hope this helps you
Answer:
C
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanY = \(\frac{opposite}{adjacent}\) = \(\frac{XZ}{XY}\) = \(\frac{25}{20}\) , thus
∠ Y = \(tan^{-1}\) ( \(\frac{25}{20}\) ) ≈ 51.34° → C
julian rolled a normal 6-sided die 12 times. his rolls were as follows: 2, 4, 3, 3, 5, 1, 2, 6, 3, 1, 3, 5, 4. what is the probability that he will roll a 3 on the next roll?
Answers
The probability that Julian will roll a 3 on the next roll is approximately 16.67%. The probability of rolling a 3 on a normal 6-sided die is independent of the previous rolls. This means that regardless of the outcomes of Julian's previous rolls, the probability remains the same.
Explanation
On a 6-sided die, there is 1 favorable outcome for rolling a 3 (the number 3 itself) out of 6 possible outcomes (1, 2, 3, 4, 5, and 6).
To find the probability, you can use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
In this case:
Probability of rolling a 3 = 1 (favorable outcome) / 6 (total outcomes)
Probability of rolling a 3 = 1/6 ≈ 0.1667 or 16.67%
So, the probability that Julian will roll a 3 on the next roll is approximately 16.67%.
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HELP ME PLS!!!!!!! Using limits, for which value of x is the function continuous? Check all that apply. –2 –1 0 3 5
Answers
Answer:
1st 3rd and last option
Step-by-step explanation:
just did it on edge:)
The correct answers are:
A.) -2
C.) 0
E.) 5
Edge 2023
what is the least whole number that is the solution of 4r-4.9>14.95
fast 30 points please
Answers
Assume we have two events, A and B, that are mutually exclusive. Assume further we know P(A) = .30 and P(B) = .40. What is P(A ⋂ B)? What is P(A | B)? A student in statistics argues that the concept of mutually exclusive events and independent events are the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement?
Answers
I do not agree with the statement that mutually exclusive events and independent events are the same, as they are two distinct concepts.
P(A ⋂ B) = 0 since A and B are mutually exclusive. This means that they cannot both occur together. Mutually exclusive events are not necessarily independent events, meaning that they don’t necessarily have no effect on each other. P(A | B) = 0 since P(A ⋂ B) = 0.
No, I do not agree with this statement. Mutually exclusive events and independent events are not the same. Mutually exclusive events cannot occur together, meaning that their probabilities can never be added, and the occurrence of one event does not affect the probability of the other. However, independent events are events that are not affected by each other and their probabilities can be added.
I do not agree with the statement that mutually exclusive events and independent events are the same, as they are two distinct concepts.
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5.5 x 10 ^-3 I need help on this question pls.
Answers
Answer:
0.0055
Step-by-step explanation:
i answered the same on , mark me brainliest
Answer:
0.0055
Step-by-step explanation:
I dont have a step by step explanation.
Simplify to a single power of 5: 5^8/5^6
Answers
Answer:
5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.
Step-by-step explanation:
Answer:
the answer for that is 5^6-3 = 5^3 = 125
Step-by-step explanation:
Simplify each expressionplease be sepific to
7(3x + 5y) =
Answers
Answer:
21x+35y
Step-by-step explanation:
7*3x+7*5
21x+35y
Find the variation constant and an equation of variation for the given situation. y varies inversely as x, and y=14 when x=1/7
Answers
We found that the variation constant, k, is equal to 2. Using the inverse variation formula, we derived the equation of variation as y = 2/x.
When a quantity varies inversely with another quantity, it means that as one value increases, the other value decreases, and their product remains constant. To find the variation constant and equation of variation for the given situation where y varies inversely as x, and y = 14 when x = 1/7, we can use the formula for inverse variation:
y = k/x
where k is the variation constant.
Given that y = 14 when x = 1/7, we can substitute these values into the equation:
14 = k/(1/7)
To solve for k, we can multiply both sides of the equation by (1/7):
14 * (1/7) = k
2 = k
Therefore, the variation constant, k, is 2.
Now we can write the equation of variation:
y = 2/x
This equation represents the inverse variation relationship between y and x, where the product of y and x is always equal to 2. As x increases, y decreases, and vice versa, maintaining the constant value of 2.
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if x varies directly as y, and y=6 when x=27, find x when y=2
Answers
Answer:
x = 9
Step-by-step explanation:
Given y varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition y = 6 when x = 27
27 = 6k ( divide both sides by 6 )
4.5 = k
x = 4.5y ← equation of variation
When y = 2 , then
x = 4.5 × 2 = 9
the equation y=mx+b is given. solve the equation for b
Answers
Answer:
b = y - mx
Step-by-step explanation:
Given
y = mx + b ( isolate b by subtracting mx from both sides )
y - mx = b
Answer:
b=y-mx
Step-by-step explanation:
You need to get b by itself, so you subtract mx.