Which of the following is the line of symmetry for the figure shown below?
B
OA. Line A
OB. Line C
C. This figure is not symmetrical.

Answer:

Step-by-step explanation:

x ml of 26% saline solution mixed with 40 ml of 50% saline solution to obtain a 42% saline solution.

The amount of salt is same at the input and output:

Answer:

Step-by-step explanation:

I'm assuming you're trying to solve this for x. We use the difference identity for cosine and rewrite:

\(cos(x-30)=cosxcos30+sinxsin30\) and simplify using the unit circle to help.

\(cosx(\frac{\sqrt{3} }{2})+sinx(\frac{1}{2})=0\\cosx(\frac{\sqrt{3} }{2})=-\frac{1}{2} sinx\\cosx=-\frac{1}{2}(\frac{2}{\sqrt{3} })sinx\\cosx=-\frac{1}{\sqrt{3} }sinx\\1=-\frac{1}{\sqrt{3} }\frac{sinx}{cosx}\\1=-\frac{1}{\sqrt{3} }tanx\\-\sqrt{3} =tanx\)

and on the unit circle, the angle where the tangent is negative square root of 3 is -60° which is also a positive 300°

Answer:

x = n*360° + 120°      or     x = n*360° + 300°

Step-by-step explanation:

cos(x-30°)=0

x-30° = 90° or x-30° = 270°

it means can be : x-30° = n*360° + 90°    or    x-30° =n*360° + 270°

x = n*360° + 120°      or     x = n*360° + 300°   n is integers

Answer:

shown below

Explanation:

so first you can graph a dot at (2,-1), since it must go through that line. Then you can use the slope, 3, to figure out the next dot. The slope 3 can be put into a fraction, liking like 3/1. Then you use rise/run from your point (2,-1). You go up 3, and right 1. Using that, your next point is (3,2). Plot that dot, and then use a straight edge to draw your line. It looks like how it is in the picture.

The rate of change of this function (s = 4m^1.6) tells you how the speed of the dog changes as its stride length changes.

The rate of change of a function tells you how the output of the function changes as the input changes. In this case, the rate of change of the function s = 4m^1.6 with respect to m tells you how the speed changes as the stride length changes.

Since the exponent on the m term is positive (1.6), the rate of change of the function is positive. This means that as the stride length increases, the speed also increases. This is consistent with the association between stride length and speed that the researcher found, which is that dogs with longer stride lengths tend to be faster.

If the function of step length in meters is s = 4m^-1.6. The rate of change of the function tells you that the association between stride length and speed is inverse. As stride length increases, speed decreases at a rate that is determined by the exponent of the function. In this case, the exponent is -1.6, which means that the rate of change is relatively steep, indicating a strong inverse relationship between stride length and speed.

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For a list size of 1000, the sequential search would make about 500 key.

The sequential search algorithm searches a list item by item until the desired item is found or the end of the list is reached. On average, for a list size of 1000, the sequential search would make about 500 key comparisons. Therefore, the correct answer is 500.

Here's a concise description of the sequential search algorithm:

1.Start at the beginning of the list.

2.Compare the target value with the current element.

3.If they match, return the current position.

4.If they don't match, move to the next element.

5.Repeat steps 2-4 until the target is found or the end of the list is reached.

If the target is not found, return a designated value (e.g., -1) to indicate its absence.

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Student solved the case without assistance

The surface area of the rectangular prism is 436 square cm

From the question, we have the following parameters that can be used in our computation:

14 cm by 9 cm by 4 cm

The surface area of the rectangular prism is calculated as

Area = 2 * (Length * Width + Length * Height + Width * Height)

Substitute the known values in the above equation, so, we have the following representation

Area = 2 * (14 * 9 + 14 * 4 + 9 * 4)

Evaluate

Area = 436

Hence, the area is 436 square cm

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Complete question

Find the surface area of the prism with the following dimensions: Length = 14 cm, Width = 9 cm, Height = 4 cm

Gale needs to get a 77 on his next test to get a B for the term since the average of the 5 tests need to be 84 in order to get a B.

To calculate Gale's average grade for the term, we need to find the sum of his five test grades and then divide by the number of tests. We know that his first four grades are 80, 95, 78, and 90, so the sum of these four grades is:

80 + 95 + 78 + 90 = 343

In order to get an average of 84 for the term, Gale needs to have a total of 84 * 5 = 420 points for the five tests. Since he already has 343 points from the first four tests, he needs to get 420 - 343 = 77 points on the next test. So, Gale needs to get a 77 on his next test to get a B for the term

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Complete question: gale's grade in science for the term is determined by the average of five test grades. his first four grades are 80, 95, 78, and 90. in order to get a b for the term, gale needs to have an average of 84. what grade must gale get on the next test to get a b for the term?

The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.

A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.

B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.

C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.

D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.

Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.

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Answer:

7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Let the number of true or false questions be x.

2x+(20-x)6=100

2x+120-6x=100

-4x=-20

x=5

Ans: There are true or false questions

Answer:

Speed is 171.6 ft/s and distance is 1716 feet

Step-by-step explanation:

Given that,

The speed of a parachute = 117 miles per hour.

1 mph = 1.47 ft/s

117 mph = 171.6 ft/s

We need to find the distance it travel during 10 s. We know that the distance covered is equal to the product of speed and time taken. So,

d = vt

\(d=171.6\ ft/s\times 10\ s\\\\=1716\ \text{feet}\)

Hence, this is the required solution.

Answer:

The answer is 119.7 hope this helped! Also please mark me as brainliest.

Answer:

D

Step-by-step explanation:

cuz its a 90° angle

Answer:

b

Step-by-step explanation:

Sure, I can help you with that. So, let's start by breaking down the given premise: -(P&Q) v (R&S) The parentheses around (P&Q) indicate that it is a conjunction (i.e. "and") of two statements, P and Q. The "-" sign in front of it means that it is negated (i.e. "not (P&Q)").

The parentheses around (R&S) indicate that it is a disjunction (i.e. "or") of two statements, R and S. To do a proof by cases on this premise, we want to consider all possible ways that it can be true. Since there are two main components (the negated conjunction and the disjunction), we'll have two cases to consider:

Case 1: -(P&Q) is true

Case 2: (R&S) is true

Note that we don't need to include the outer parentheses in our cases, since they just indicate the overall structure of the premise.

Let me know if you have any further questions.If you want to perform proof by cases on the given premise, you'll first need to identify the cases. The premise is: -(P&Q)v(R&S). When doing proof by cases, you'll consider the disjunction (the "v" operator) and separate the two cases. In this case, they are:

1. -(P&Q)
2. (R&S)

For each case, you'll analyze the statements and proceed with the proof. Remember, you don't need to include the outer parentheses when writing your cases, so the final answer is:

Case 1: -(P&Q)
Case 2: R&S

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The structure that does not pass through the carpal tunnel is (c) Flexor carpi radialis tendon.

The carpal tunnel is a narrow passageway located on the palm side of the wrist that protects the median nerve and the flexor tendons that bend the fingers and thumb. The structures that pass through the carpal tunnel include:

- Flexor pollicis longus tendon (a)
- Flexor digitorum profundus tendons (b)
- Median nerve (d)
- Flexor digitorum superficialis tendons (e)

However, the flexor carpi radialis tendon (c) does not pass through the carpal tunnel. Instead, it passes through a separate tunnel called the carpal tunnel of the flexor carpi radialis.

Hence Option C is correct.

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Answer:

\(y=\frac{3}{4}x-4\)

Step-by-step explanation:

\(3x-4y=16\\-4y=16-3x\\y=-4+\frac{3}{4}x\\y=\frac{3}{4}x-4\)

Answer: y= 3/4x - 4

Step-by-step explanation:

start by moving everything to the right side of the y variable.

-4y=-3x + 16

then, divide both sides by -4 which then gives you

y= 3/4x - 4

therefore your answer is y= 3/4x - 4

The equation of the tangent plane to the given ellipsoid at the point (-1, -2, -2) is:6x - 5y + 4z - 1 = 0And, the parametric form of the line through this point that is perpendicular to that tangent plane is given by:

L(t) = (-1, -2, -2) + t(6, -5, 4) = (-1 + 6t, -2 - 5t, -2 + 4t).

The equation of the ellipsoid is 3x² + y² + z² = 11 ...(1)Let the point given be P(-1,-2,-2) ...

(2)Differentiating the equation of ellipsoid w.r.t. x, we have :6x + 2y(dy/dx) + 2z(dz/dx) = 0

At point P(-1,-2,-2), the tangent is 6(-1) + 2(-2)(dy/dx) + 2(-2)(dz/dx) = 0which gives dy/dx = 6/5

Differentiating the equation of ellipsoid w.r.t. y, we have :2y + 2z(dy/dy) = 0i.e., dy/dz = -y/z

Differentiating the equation of ellipsoid w.r.t. z, we have :2z + 2y(dz/dz) = 0i.e., dz/dz = -y/zAt P(-1,-2,-2), we have dy/dz = 2/-2 = -1

Differentiating (1) w.r.t. x, we have:6x + 2y(dy/dx) + 2z(dz/dx) = 0i.e., 6x - 24/5 + 8/5(dz/dx) = 0or dz/dx = -15/4At P(-1,-2,-2), the equation of tangent plane is given by:6(x + 1) - 5(y + 2) + 4(z + 2) = 0i.e., 6x - 5y + 4z - 1 = 0

The direction ratios of the line perpendicular to the tangent plane are 6, -5, 4.

The parametric form of the line is given by:

L(t) = (-1, -2, -2) + t(6, -5, 4)L(t) = (-1 + 6t, -2 - 5t, -2 + 4t)

Therefore, the equation of the tangent plane to the given ellipsoid at the point (-1, -2, -2) is:6x - 5y + 4z - 1 = 0

And, the parametric form of the line through this point that is perpendicular to that tangent plane is given by:

L(t) = (-1, -2, -2) + t(6, -5, 4) = (-1 + 6t, -2 - 5t, -2 + 4t).

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The implicit form of the tangent plane to the ellipsoid at (-1, -2, -2) is -6x - 4y - 4z = 10. The parametric form of the line through (-1, -2, -2) that is perpendicular to the tangent plane is L(t) = (-1 - 6t, -2 - 4t, -2 - 4t).

The implicit form of the tangent plane to the ellipsoid 3x^2 + y^2 + z^2 = 11 at the point (-1, -2, -2) can be found by taking the partial derivatives of the ellipsoid equation with respect to x, y, and z, and evaluating them at the given point.

The partial derivative with respect to x is 6x, with respect to y is 2y, and with respect to z is 2z. Evaluating these partial derivatives at (-1, -2, -2), we get 6(-1) = -6, 2(-2) = -4, and 2(-2) = -4.

The implicit form of the tangent plane is therefore -6x - 4y - 4z = -6(-1) - 4(-2) - 4(-2) = -6 + 8 + 8 = 10.

To find the parametric form of the line through the point (-1, -2, -2) that is perpendicular to the tangent plane, we can use the normal vector of the plane as the direction vector of the line. The normal vector can be obtained by taking the coefficients of x, y, and z in the equation of the tangent plane, which are -6, -4, and -4, respectively.

So, the parametric form of the line is L(t) = (-1, -2, -2) + t(-6, -4, -4) = (-1 - 6t, -2 - 4t, -2 - 4t), where t is a parameter that allows us to find different points on the line.

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Answer:

x=10

y=-9

Step-by-step explanation:

eqn 2-1

-1x+10=0

x=10

in eqn 1

y=-2 ×10+11

-20+11

-9

Answer:

it increases by 125 for each ton of sugar being transported

Step-by-step explanation:

750-875= 125

Answer:

1

Step-by-step explanation:

The answer is x because x is the unknown i have defined for this unknown equation.

Answer: 4.1

Step-by-step explanation:

Answer:

4 1/10

hope this helps have a good day :)

Answer: 25 weeks

Step-by-step explanation:

Let W represent the number of weeks

Judy equation is

12W + 300

Cassie equation is

20W + 100

Now let's solve it! Our system of equation is

12W + 300 = 20W + 100

Subtract 300 from both sides

12W = 20W -200

Subtract 20W from both sides

-8W = -200

W = 25 weeks

So, it takes 25 weeks for Judy and Cassie to have the same amount saved.

Answer:

let judy = 300 + 12W

cassie = 100 + 20W

300 + 12W =  100 + 20W

300 - 100 = 20W - 12W

200 = 8W

W = 25

300 +  12(25) = 100 + 20(25)

300 + 300 = 100 + 500

600 = 600

Therefore, it will take 25 days for Judy and Cassie so that they have the same amount saved.

THE GRAPH IS IN THE PICTURE,line graph

Step-by-step explanation:

Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

Answer:

25cm

Step-by-step explanation:

Answer:

D. Zero hopefully it helps :)

Answer:

1a

2d

3I

4j

5b

6o

7q

Step-by-step explanation: