We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate

of 5 units per minute.

Find the rate of change of the side angle teta when x=2.

Answer:

x = 0,4

Step-by-step explanation:

Given

Simplifying

Answer:

Step-by-step explanation:

In this question we have given an equation that is x² - 4x = 0 and we have asked to find all the possible values of x . So finding our answer ,

\( \longmapsto \: x {}^{2} - 4x = 0\)

Step 1 : We are taking x common :

\( \longmapsto \: x(x - 4) = 0\)

Step 2 : That means :

\( \longmapsto \:x = 0 \: and \: (x - 4) = 0\)

Step 3 : Finding value of x for x - 4 :

\( \longmapsto \:x = 4\)

\( \pink{ \boxed{ \sf{Therefore , \: value \: of \: x \: are \: 0 \: and \: 4 }}}\)

Answer:

f(x)=-2x+5

Step-by-step explanation:

The line shown in the graph is always decreasing at a constant rate, has a slope of -2, and has a y-intercept of 5.

So the parent function has been reflected across the x-axis (multiplied by -1), vertically stretched by a factor of 2 (multiplied by 2), and vertically translated up 5 units (5 added to it).

Therefore, the slope-intercept equation that represents this linear function is f(x)=-2x+5.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=-2x+5.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The given line passes through two points with coordinates (0,5) and (1,3). Therefore, the slope and the y-intercept of the given equation of a line can be written as,

Slope, m = (5 - 3)/(0 - 1) = 2/-1 = -2

y-intercept, c = 5

Now, the equation of the line can be written as,

y = mx + c

y = -2x + 5

Hence, the equation of the given line is y=-2x+5.

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The number of 3 / 16 yards pieces that can be cut from 3 / 4 yard of ribbon is 4.

The actual length of the ribbon is 3 / 4 yards.

He wants to cut 3 / 16 yards pieces from the actual length of the ribbon.

Therefore, the number of 3 / 16 yard that can be cut from 3 / 4 yard of ribbon can be calculated as follows;

number of pieces of ribbon = 3 / 4 ÷ 3 / 16

number of pieces of ribbon = 3 / 4 × 16 / 3

number of pieces of ribbon =  48 / 12

Therefore,

number of pieces of ribbon =  4 yards

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Answer:

proportional

Step-by-step explanation:

test = 100%

Answer: The correct answer is that it is proportional?

Thus, the cardinal number of the set E is found to be: N(E) = 6.

A cardinal number describes or expresses how many of anything are present.

So all natural numbers are often refereed to as cardinal numbers. Cardinal numerals have been used for counting. When an ordinal number is an integer that represents the location or place of an object.

The description of a cardinal number is really a number that is used to express quantity in whole numbers. Decimals and fractions are not regarded as cardinal numbers. Natural numbers and numbering numbers constitute cardinal numbers. Each of them is a positive integer.

Given data:

N(CxE) = 18

C = {4, 5, 6)

In which N is the cardinal number, that is the total elements present in the set.

So,

N(C) = 3

Given that: N(CxE) = 18

The formula for the Cartesian product is:

N(CxE) = N(C) * N(E)

18 = 3* N(E)

N(E)  = 18 /3

N(E) = 6

Thus, the cardinal number of the set E is found to be: N(E) = 6.

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Complete questions:

Find N(E), Given That N(CxE) = 18 And C = {4, 5, 6).

Α. 6

B. 9

C. 3

D. 5

Answer:

y - 7 = 5(x + 4)

Step-by-step explanation:

Point-slope form: y - y₁ = m(x - x₁)

(x₁,y₁) = (-4,7)

I am assuming your slope is 5.

m = slope = 5

Plugging these in, we have

y - 7 = 5(x-(-4))

Simplifying,

y - 7 = 5(x + 4)

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Answer:

I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion * 360° = 0.6 * 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.

Answer:

d. 35

Step-by-step explanation:

y = 35x + 40

The slope is 35 as 'm' is the slope of the equation

LMK IF IT WAS RIGHT!!

Answer:

D (35)

Step-by-step explanation:

Answer:

existing or occurring now

Answer:

Corresponding angles are congruent:

3x - 17 = 2x - 2, so x = 15.

Answer:

Check photo.

Step-by-step explanation:

Answer: 0.5 or - 0.834

Step-by-step explanation: Here is the explanation!

Answer:

20%

Step-by-step explanation:

Divide 3 by 15 to get 1/5. If you divide 1 by 5, you will get a decimal answer of 0.2. To convert a decimal to a percent, you must multiply the decimal by 100, which basically means to move the decimal place to the right twice. You will then get the product and final answer of 20%.

A more modern explanation would be, "Parallel lines are two lines within a given plane that never intersect."

Two lines on a sphere are an illustration that defies the notion of parallel lines. Meridians are the name given to longitude lines on spheres like the Earth.

Meridians are lines that run parallel to one another from the North Pole to the South Pole. However, if we take into account two meridian lines, they will cross at the North and South Poles. Two lines that are originally parallel will, therefore, eventually intersect at the poles on a sphere, defying the notion of parallel lines.

We can change the original definition of parallel lines to read, "Parallel lines are two lines that do not intersect within a given plane."

This adjustment accounts for the fact that lines can exist in many geometrical contexts, such as on a sphere or in three-dimensional space, where the idea of parallelism may be different. By including the phrase "within a given plane," we restrict the concept to the typical geometry seen in Euclidean geometry, where parallel lines do not meet.

A newer definition may therefore read, "Parallel lines are two lines within a given plane that never intersect." This updated definition makes clear that parallel lines must be taken into account inside a certain plane in order to maintain their validity, while also acknowledging the limitations of the idea.

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This differential equation states that the rate of change of the amount of salt in the tank is equal to the difference between the rate at which brine containing salt is being added to the tank.

(a) The initial amount of salt in the tank is 50 lbs.

(b) The initial volume of solution in the tank is 100 gal.

(c) The concentration of salt being added to the tank is 1 lb of salt per gallon of brine.

(d) The rate at which the solution is being added to the tank is 5 gal/s.

(e) The rate at which the solution is being removed from the tank is 3 gal/s.

(f) The volume of the solution in the tank at time t can be represented by V(t) = 100 + (5 - 3)t = 100 + 2t gal.

(g) The concentration of salt in the tank at time t can be represented by C(t) = x(t) / V(t), where x(t) represents the number of pounds of salt in the tank at time t.

(h) A differential equation with initial conditions that models this mixture problem is:

dx/dt = 5 - 3 = 2 (lb/s), where x(0) = 50 lbs.

This differential equation states that the rate of change of the amount of salt in the tank is equal to the difference between the rate at which brine containing salt is being added to the tank and the rate at which brine is being removed from the tank. The initial condition x(0) = 50 lbs states that the initial amount of salt in the tank is 50 lbs. The units in this differential equation make sense as the rate of change of the amount of salt in the tank is in lbs/s and the amount of salt in the tank is in lbs.

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Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Answer:

2

Step-by-step explanation:

1+1=2

9514 1404 393

Answer:

  -2

Step-by-step explanation:

The slope formula can be used. Fill in the given information and solve for b.

  m = (y2 -y1)/(x2 -x1)

  -3/4 = (b -4)/(6 -(-2))

  -6 = b -4 . . . . . . multiply by 8

  -2 = b . . . . . . . . add 4

The value of b is -2.

Answer:

length = 10 in.

width = 8 in.

Step-by-step explanation:

volume of cuboid = length(l) * width(w) * height(h)

l = w + 2

(w + 2) * w * 6 = 480

(w + 2) * w = 480/6 = 80 in²

w² + 2w =  80

w² + 2w - 80 =  0

solve for w (AC method):

w² + 10w - 8w - 80 = 0

w(w + 10) - 8 (w + 10) = 0

(w-8)(w+10) = 0

w = 8 or w = -10

As length cannot be negative, w = 8 in.

substitute w with 8:

l = 8 + 2 = 10 in.

10 * 8 * 6 = 480 in³

Answer:

9.75 is the answer rounded to 10.

10 is the final answer

Hope it helps!!!

Say if my answer is correct....

Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.

To solve the given equations, we need to find the value of the function f(x) for specific values of x.

"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"

To find f(2), we can substitute x = 2 into the equation and solve for f(2).

Plugging in x = 2, we get:

f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)

Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.

"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"

To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).

Plugging in x = -3, we get:

f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2

Simplifying, we have:

f(-3) / 0 = 3(9) + 12 + 2

f(-3) / 0 = 27 + 12 + 2

f(-3) / 0 = 41

Additional information or context is needed to solve for f(-3).

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Therefore, the simplified result of the expression (1/10x − 23) - (4/5x − 16) is (137x - 3)/10x.

A fraction is considered to be in its simplest form when the top and bottom can both be whole numbers and not smaller. To simplify a fraction, multiply the top and bottom by the biggest number that divides both values exactly (they must stay whole numbers).

To subtract the fractions (1/10x − 23) - (4/5x − 16), we first need to find a common denominator. The least common multiple of the denominators 10x and 5x is 10x, so we can rewrite the fractions as follows:

1/10x - 23 = (1/10x)(5/5) - (23/1)(10x/10x) = 5/50x - 230x/10x

4/5x - 16 = (4/5x)(2/2) - (16/1)(10x/10x) = 8/10x - 160x/10x

Now we can combine the fractions by subtracting the numerators:

(1/10x − 23) - (4/5x − 16) = (5/50x - 230x/10x) - (8/10x - 160x/10x)

= (5 - 23x)/10x - (8 - 160x)/10x

= (137x - 3)/10x

Therefore, the simplified result of the expression (1/10x − 23) - (4/5x − 16) is (137x - 3)/10x.

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Therefore, the simplified result of the expression (1/10x − 23) - (4/5x − 16) is (137x - 3)/10x.

When both the top and bottom can be whole numbers and are not smaller, a fraction is said to be in its simplest form. The top and bottom of a fraction can be multiplied by the largest number that divides both values equally to simplify the fraction (they must stay whole numbers).

To subtract the fractions (1/10x − 23) - (4/5x − 16), we first need to find a common denominator. The least common multiple of the denominators 10x and 5x is 10x, so we can rewrite the fractions as follows:

1/10x - 23 = (1/10x)(5/5) - (23/1)(10x/10x) = 5/50x - 230x/10x

4/5x - 16 = (4/5x)(2/2) - (16/1)(10x/10x) = 8/10x - 160x/10x

Now we can combine the fractions by subtracting the numerators:

(1/10x − 23) - (4/5x − 16) = (5/50x - 230x/10x) - (8/10x - 160x/10x)

= (5 - 23x)/10x - (8 - 160x)/10x

= (137x - 3)/10x

Therefore, the simplified result of the expression (1/10x − 23) - (4/5x − 16) is (137x - 3)/10x.

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Answer:

Oh gosh, this was very hard, Answer - C on edge 2021

Please thank me

Step-by-step explanation:

Take 3π/2

sin²(3π/2)<2sin(3π/2)+3

If less than turns equal to then it's true

Take 2π

True

Option D is correct

Answer:

Any two lines intersect in exactly one point.

Step-by-step explanation:

D. Any two points determine a unique line.

In spherical geometry

In Plane geometry:

So, we have

Any two lines in plane geometry intersect in exactly one point

Any two intersecting great circles intersect at two points

Therefore, the correct option is D.

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Answer:

Step-by-step explanation:

By choosing the LIFO method for inventory, the following items would be decreased (compared to what would have happened if they chose to use FIFO):

Net income

Taxes payable

Total assets

Owner's equity

This is because the LIFO method results in higher cost of goods sold and lower ending inventory, which in turn decreases net income and taxes payable. Lower ending inventory also decreases total assets and owner's equity.

The items that would be decreased by the choice of LIFO (compared to what would have happened if they chose to use FIFO) are Ending inventory and Net profit

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

Inventory costs in 2012 were rising

Now,

LIFO stands for last-in, first-out, and FIFO stands for first-in, first-out. These are two ways of assigning costs to the units of inventory that you sell. FIFO assumes that you sell the oldest units first, while LIFO assumes that you sell the newest units first1.

The choice of LIFO or FIFO has implications on a company’s financial statements as this decision impacts the value of inventory, cost of goods sold, and net profit2. If inventory costs are rising during a period, then LIFO will result in a lower value of ending inventory, a higher cost of goods sold, and a lower net profit compared to FIFO1.

Therefore, by unitary method the answer will be Ending inventory and Net profit

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EXPLANATION:

8..This is an octagon and it is a regular polygon because its sides and interior angles are equal or measure the same.

9.This is a pentagon and it is a regular polygon because its sides and interior angles are equal or mesure the same.

10.This is an equilateral triangle that means that its three sides are equal, and its three internal angles are also equal.

11.This triangle has two equal sides and one unequal, which is why it is an obtuse triangle;that is, it is equiangular, it only has two equal sides.

12.This is a regular square because all four sides are equal.

13.This is an equiangular polygon is a type of polygon whose vertex angles are equal. they are equiangular polygons because they alternate sides of two lengths.