use the following graph to answer the questions below. Water in a Tank: The graph shows the amount of water in a 100-gallon tank after x minutes have elapsed. PLEASE HELPPPP!!!!

The required solutions are as follows,
(A)  Independent variable = the size of the wire
(B) dependent variable = battery life
(C) controlled variables = the other factors that may affect battery life,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

The independent variable in Drew's experiment is the size of the wire, as it is what Drew is manipulating to see its effect on the battery life.

The dependent variable in Drew's experiment is the battery life, as it is what is being measured or observed as a result of changing the size of the wire.

The controlled variables in Drew's experiment are the other factors that may affect battery life, such as the type of battery, the type of circuit, the amount of current flowing through the wire, and the temperature. These variables should be kept constant so that the only factor affecting the battery life is the size of the wire.

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Answer: 20.76

Step-by-step explanation:

Since you're given the hypotenuse and need to find the opposite side, use sine.

sin53 = x/26

x = 26sin53

x = 20.76

Answer:

160in³

Step-by-step explanation:

V = lwh

V = 5(4)(8)

V = 40(4)

V = 160in³

Answer:

the first one (in quadrant 1, pointing upwards)

Step-by-step explanation:

since the function is positive the graph will be facing upwards and start off at 1

Answer:

9

Step-by-step explanation:

In order to find what needs to be added, you can subtract the number your already have. In this case, subtract twelve from twenty-one.

21 - 12 = 9

To check, we can add nine to 12 and see if it works.

12 + 9 = 21 is correct.

So 9 is our answer.

Brainliest please?  

The number that makes the sum of 21 when added with 12 is 9. Found solving the linear equation x + 12 = 21. Hence, option B is the right choice.

Linear equations are relations between two expressions having their degree less than or equal to 1.

In the question, we are given that the sum of a number and 12 is 21.

We are asked to find the number.

We assume the number to be x.

∴ The sum of a number and 12 is expressed using the expression: x + 12

This expression is equal to 21, which can be represented by the linear equation: x + 12 = 21.

To find x, we solve this linear equation using the given steps:

Equation: x + 12 = 21

Subtract 12 from both sides of the equation: x + 12 - 12 = 21 - 12

∴ x = 9.

∴ The number that makes the sum of 21 when added with 12 is 9. Found solving the linear equation x + 12 = 21. Hence, option B is the right choice.

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Answer:

504

Step-by-step explanation:

I hope this helps you out!

Answer:

OA = 13

Step-by-step explanation:

Use the Pythagorean theorem: a²+b²=c²

a² = OC, the first base, or the radius of the circle, we use the variable x to denote this

b² = 12, this is the other base

x²+12² = (x+8)²

x²+144 = x²+16x+64

-x²          -x²

144 = 16x+64

-64           -64

16x = 80

Divide both sides by 16, and you get:

x = 5

Hope this helps!

Answer:

1/3

Step-by-step explanation:

Take the second term and divide by the first

9/27 = 1/3

Take the third term and divide by the second

3/9 = 1/3

Check each subsequent ratio, we can see the common ratio is 1/3

The temperature of the steam is 441.7 K.

A 1-m³ tank contains 2.1085 kg of steam at 0.6 MPa.

The gas constant, critical pressure, and critical temperature of steam are

R = 0.4615 kPa.m³/kg.K,

TCr = 647.1 K, and

PCr = 22.06 MPa.

Using data from the steam tables, let's find the temperature of the steam.

According to the steam table, the specific volume of the steam is 0.194 m³/kg at 0.6 MPa and 393.71 K. Since 1 m³ tank contains 2.1085 kg of steam, the total volume of steam is:

V = m/v

= (2.1085 kg)/(0.194 m³/kg)

= 10.8665 m³

The ideal gas equation of state is:

Pv = mRTor

T = PV/mR

Substituting the values we get:

T = (0.6 MPa)(10.8665 m³)/(2.1085 kg)(0.4615 kPa.m³/kg.K)

T = 441.7 K

Therefore, the temperature of the steam is 441.7 K.

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The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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Answer:-4

Step-by-step explanation:

11,7,3,-1,-5,......they have a difference of -4

11-4=7

7-4=3

3-4=-1

-1-4=-5

Recursive formula for the given sequence is \(a_{n}=a_{n-1}-4\)

A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).

Consider

The first term \(a_{1} =11\)

second term \(a_{2}=7\)

Common difference = 7-11 = -4

Third term \(a_{3}=3\)

Common difference = 3-7 =- 4

Fourth term \(a_{4}=-1\)

Common difference = -1-3= -4

Then the formula for the sequence is \(a_{n}=a_{n-1}-4\)

Hence, the Recursive formula for the give sequence is \(a_{n}=a_{n-1}-4\)

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Answer-

Not quite sure what your asking but the if I understood correctly the answer is -122z+56

Answer:

−112z+56

Step-by-step explanation:

−56z+28−56z+28

Combine −56z and −56z to get −112z.

−112z+28+28

Add 28 and 28 to get 56.

−112z+56

14.3 is probability  of the variance of the number of home runs bautista is projected to hit in 100 games.

How does probability explain work?

Given: n = 100

p = 0.173

Variance = np(1-p)

= 100*0.173*0.827

= 14.3071

Therefore, the variance to two decimal places is

= 14.3.

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Surveying and Search and Rescue activities are two such jobs that make use of indirect measurement.

Surveying is one occupation that makes use of the indirect measuring technique. Building heights, tree heights, and the height of other structures are all measured using angle of elevation by surveyors. Surveyors can determine the height of an object by measuring the angle between a ground reference point and the top of the construction. When the structure is inaccessible or risky to climb, this strategy is especially helpful.

Search and rescue activities are another industry that applies the indirect measuring technique. Search and rescue teams may employ angle of depression to find people or groups that have gotten lost in remote or hilly areas. Teams can calculate the distance to the missing person by measuring the angle between the searcher's line of sight and the ground. When visibility is restricted and other search techniques have proven fruitless, this method is especially helpful.

In both situations, the indirect measurement method enables experts to gather data that would otherwise be challenging or impossible to do so directly. In a number of circumstances, having this knowledge is essential for making wise decisions and acting appropriately.

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The Triangle Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

If the three sides of one triangle are known to be congruent to the three sides of another triangle, the Triangle Postulate can be used to prove that the two triangles are congruent. For example, if two triangles have sides of length a, b, and c, then if the sides of the first triangle are congruent to the sides of the second triangle, the two triangles must be congruent. This can be proven using the Triangle Postulate.To prove the congruence of two triangles using the Triangle Postulate, first the lengths of the sides of each triangle must be known. Once the lengths are known, the two triangles can then be compared side-by-side. If the lengths of the three sides of the first triangle are equal to the lengths of the three sides of the second triangle, the two triangles are congruent. This can be proven using the Triangle Postulate, which states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

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Answer:

$21.50 after 15% sales tax

÷ 1.15

----------

$18.70 before 15% sales tax

Step-by-step explanation:

11/4 X 5/12

Lcm of denominators= 12

11 3 33

X =

4 3 12

33/12 X 5/12 = 165/12

Hope it's correct

Please mark as brainliest

Yes, each vector in R4 can be written as a linear combination of the columns of matrix A.

To explain this, first, we must convert matrix A into its reduced row echelon form. This is done by performing row operations so that the leading (i.e. leftmost non-zero) entry in each row is a 1.

By doing this we can see that the columns of the matrix A form a basis for R4, which means that any vector in R4 can be written as a linear combination of the columns of A.

To be more specific, we can show that the columns of A span R4 by showing that the columns are linearly independent. To do this, we solve the equation Ax = 0, where x is the vector of unknowns. We can see that the only solution to this equation is x = 0, which implies that the columns of A are linearly independent and therefore span R4.

This means that any vector in R4 can be written as a linear combination of the columns of A. In other words, any vector in R4 can be expressed as a linear combination of the columns of A, which means that the columns of A span R4.

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The complete question is attached below.

Answer:

1/2 pound

Step-by-step explanation:

2 1/2 = 2.5 pounds

2.5/5 = 0.5 = 1/2 pound

Answer: 1/2

Step-by-step explanation:

To find out how many pounds of berries each friend receives, we need to divide the total amount of berries by the number of friends.

Total amount of berries = 2 1/2 pounds

Number of friends = 5

To divide fractions, we need to first convert the mixed number 2 1/2 to an improper fraction:

2 1/2 = 5/2

So, we can write:

2 1/2 pounds = 5/2 pounds

Now, we can divide the total amount of berries by the number of friends:

5/2 pounds ÷ 5 friends = (5/2) ÷ 5

To divide fractions, we invert the second fraction and multiply:

(5/2) ÷ 5 = (5/2) x (1/5) = 5/10

We can simplify 5/10 to 1/2:

5/10 = 1/2

So, each friend will receive 1/2 pound of berries.

Answer: Yes

Step-by-step explanation: The sum of the length of the 2 smaller side must be greater than the biggest side (hypotneus) So yes, 9+2=11 which is greater than 10.

Answer:

not a right triangle

Step-by-step explanation:

right triangles are those that prove out to be true when you square the two smaller sides and the sum is equal to the square of the longest side

true or false?

10² + 12² = 14²

100 + 144 = 196

False, ∴ not a right triangle

========================================================

Explanation:

We have a triangle with sides a,b,c where a = 3 and b = 3 are given. The side c is unknown, but using the variation of the triangle inequality theorem allows us to say the following:

b-a < c < b+a

3-3 < c < 3+3

0 < c < 6

The missing side c is between 0 and 6 units long, but cannot be equal to 0 and can't be equal to 6 either. Therefore, the answers must be A) 4, C) 5, and D) 2. All of these values satisfy the inequality 0 < c < 6.

Something like c = 12 is too large. I recommend cutting out two slips of paper that are 3 inches long, and you'll find it impossible to form a triangle that has a third side of 12 inches. The longest side you can form is 3+3 = 6 inches, but you wouldn't have a triangle at that point (it would be a straight line instead). This is a visual way to rule out choice E, and it also rules out choices B and F for similar reasoning.

Answer:

obtuse

Step-by-step explanation:

45^2 = 2025

42^2 = 1764

13^2 = 169

169+1764=1933

2025 > 1933

therefore it is an obtuse triangle

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

\(a)x = 1 \\ x = - 1 \\ b)x = 1 \\ x = 0 \\ c)x = 3 \\ d)x = 11 \\ x = 2 \\ e)x = 3 \\ x = - 3\)

The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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Answer: y=2x-3

Step-by-step explanation: I looked it up.