How to do the sum
25 cm 25 mm = --------------------m

pls give the ans with explanation

Answer:

Step-by-step explanation:

C

x²-7x+10 when x=-3

( - 3)² - 7( - 3) + 10 = 9 + 21 + 10 = 30 + 10 = 40

Therefore, the equation of the line passing through (0, -3) and (5, -3) is y = -3.

An equation is a mathematical statement that shows the equality between two expressions. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equals sign (=) and can be manipulated in various ways to find the value of the variable(s) that satisfies the equation.

Here,

To find the equation of the line passing through two points (x₁, y₁) and (x₂, y₂), we can use the point-slope form of a linear equation, which is:

y - y₁ = m(x - x₁)

where m is the slope of the line.

In this case, the two points are (0, -3) and (5, -3), so we have:

x₁ = 0, y₁ = -3

x₂ = 5, y₂ = -3

The slope of the line can be found using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the values, we get:

m = (-3 - (-3)) / (5 - 0)

m = 0 / 5

m = 0

Since the slope m is zero, the line is a horizontal line.

To find the equation of the line, we can use the point-slope form with one of the points, say (0, -3). Substituting the values, we get:

y - y₁ = m(x - x₁)

y - (-3) = 0(x - 0)

y + 3 = 0

y = -3

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Answer: Tyson is 188 centimetres tall.

Answer:

A

Step-by-step explanation:

You just find out which number is closer to the speed of light

Answer:

9x10^15

Step-by-step explanation:

9,460,528,400,000,000

If you count the numbers up until 9 you get 15. So the easy hack is to just count the numbers up until the VERY first then whichever answer had that number is the right one.

Answer:

7930.3 miles = d

Step-by-step explanation:

The circumference equals

C = pi *d

24901 = 3.14 d

Divide each side by 3.14

24901 / 3.14 = d

7930.254777 = d

Rounding to the nearest tenth

7930.3 =d

Answer:

1800 (packages )muffins

Step-by-step explanation:

360  muffins         x muffins

--------                 =    --------

12 min                       60 min

Answer:

1800 maybe

Step-by-step explanation:

in 12 minutes can wrap 360

in 1 hr have 60 minutes

60/12=5

than 360*5 = 1800

The mean of this distribution is 0.55

The standard error of this distribution is 0.0384

We have the following:

p=0.55

sample size, n=168

Mean of distribution:

Mean=true proportion of voters who support a restaurant

Mean=p=0.55

Hence, the mean of distribution is 0.55

Standard error of the distribution:

\(=\sqrt{\frac{p(1-p)}{n} }\)

\(=\sqrt{\frac{0.55(1-0.55)}{168} }\)

=0.0384

Hence, the standard error is 0.0384

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The questions was incomplete, the complete question is given below:

Suppose the true proportion of voters in the county who support a restaurant tax is 0.55. Consider the sampling distribution for the proportion of supporters with sample size n = 168.

What is the mean of this distribution?

What is the standard error of this distribution?

1.  If Henry sells 3 computers in a day, he will earn $140.

2. Henry's earnings for selling 10 computers in a day would be $315.

To find Henry's daily earnings for selling 3 computers, we need to substitute x = 3 in the given function:

p(3) = 65 + 25(3)

p(3) = 65 + 75

p(3) = 140

Therefore, if Henry sells 3 computers in a day, he will earn $140.

Similarly, we can find his earnings for selling 4, 5, 6, 7, 8, 9, and 10 computers per day by substituting the respective values of x in the given function.

Number of computers sold (x) Earnings (p(x))

3 140

4 165

5 190

6 215

7 240

8 265

9 290

10 315

Thus, Henry's earnings for selling 10 computers in a day would be $315.

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Answer:

17 minutes    i had this same answer and question 2day, so ur lucky.

Step-by-step explanation:

The initial solution most people will think of is to use the fastest person as an usher to guide everyone across. How long would that take? 10 + 1 + 7 + 1 + 2 = 21 mins. Is that it? No. That would make this question too simple even as a warm up question.

To reduce the amount of time, we should find a way for 10 and 7 to go together. If they cross together, then we need one of them to come back to get the others. That would not be ideal. How do we get around that? Maybe we can have 1 waiting on the other side to bring the torch back. Ahaa, we are getting closer. The fastest way to get 1 across and be back is to use 2 to usher 1 across. So let's put all this together.

1 and 2 go cross

2 comes back

7 and 10 go across

1 comes back

1 and 2 go across (done)

Total time = 2 + 2 + 10 + 1 + 2 = 17 mins

Answer:

17 minutes

Step-by-step explanation:

Let A be the person who takes 1 min,

B who takes 2 mins, C who takes 7 mins and D who takes 10 mins

A and B cross the river in 2 mins, A comes back in 1 min

C and D cross the river in 10 mins, B comes back in 2 mins

A and B cross the river in 2 mins

Total time:

2 + 1 + 10 + 2 + 2 = 17 minutes

Answer: 3.14159265358979.....

Step-by-step explanation:

Answer:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067.

Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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Answer:

5:7.

...................................

Answer:

-13

Step-by-step explanation:

3x-5x+10=35

-2x+10=36

-2x=36-10

-2x\-2=26\-2

x=-13

The critical value of f(x) = 5x⁶ - 3x⁵ is x = 0.5 which is also its maxima point

f(x) = 5x⁶ - 3x⁵

differentiation w.r.t x

=> f'(x) = 30x⁵ - 15x⁴

Putting f'(x) = 0

30x⁵ - 15x⁴ = 0

=> x⁴(30x - 15) =0

=> 30x - 15 = 0

=> x = 15/30

=> x = 0.5 , 0

Critical number is 0.5 , 0

(B) To find where f(x) is increasing

for x > 0.5 ,

(30x-15) > 0 => x⁴(30x - 15) > 0

Therefore , f(x) is increasing at ( 0.5 , ∞ )

(C)To find where f(x) is decreasing

for x < 0.5 ,

(30x-15) < 0 => x⁴(30x - 15) < 0

Therefore , f(x) is decreasing at ( -∞ , 0.5)

(D) Differentiation f'(x) again w.r.t to x

f'(x) = 30x⁵ - 15x⁴

f"(X) = 150x⁴ - 60x³

Substituting critical values of x

=> 150(0.5)⁴ - 60(0.5)³

=>9.375 - 7.5

=> -1.875 < 0 , Hence , x = 0.5 is point of maxima

(E) no point of minima

Similarly , we can solve other parts

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The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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Answer:

3.43 hrs

or

3 13/30

orrrr

103/30

Step-by-step explanation:

In a sequence diagram, we usually represent: The sending of Messages

In a sequence diagram, we represent the interaction between different objects or components of a system through the sending of messages. Messages are used to depict the communication or interaction between objects or components during the execution of a particular scenario or sequence of events.

Each message in a sequence diagram represents a specific action or request that one object sends to another. These messages can be synchronous or asynchronous, depending on whether the sender waits for a response or not. The messages are represented as arrows that connect the participating objects or components in the diagram.

By showing the sending of messages in a sequence diagram, we can visualize the order of interactions and the flow of control between objects or components, helping to understand the behavior and communication patterns within a system.

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To show that det U = 1, we can use the fact that U'U = I, which implies that U^-1 = U'. Taking the determinant of both sides, we have det U^-1 = det(U') = (det U)^T, where T denotes transpose. But det(U') = det U since U is a square matrix. Therefore, (det U)^2 = det(U'U) = det(I) = 1. Taking the positive square root, we get det U = 1 or -1.

However, the problem statement specifies that det U = 11, which is not possible since det U can only be 1 or -1 for a matrix satisfying U'U = I. Therefore, there must be an error in the problem statement.
To show that det U = 1 when U'U = I. Here's the answer using the provided terms:

Since U'U = I, we can apply the determinant to both sides of the equation:

det(U'U) = det(I)

Now, we use the property that det(AB) = det(A) * det(B), so:

det(U') * det(U) = det(I)

The determinant of the identity matrix is 1, so:

det(U') * det(U) = 1

For an orthogonal matrix like U, det(U') = det(U)^(-1), therefore:

det(U)^(-1) * det(U) = 1

Since det(U)^(-1) * det(U) = 1, it implies that det(U) = 1.

So, the correct option to achieve the desired result is B. det(U') * det(U) = 1.

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Answer:

4

Step-by-step explanation:

\( \frac{p - 1}{p} = 4\)

Solve for p.

The numerator. difference has to be 4 times the answer of the denomiator.

So we can say

\(p - 1 = 4p\)

Solve for p

\( - 1 = 3p\)

\(p = - \frac{1}{3} \)

Now plug this in for the other formula.

\(( \frac{ - \frac{1}{3} +1}{ \frac{1}{3} } ) {}^{2} = 2 {}^{2} = 4\)

So

Answer:8

Step-by-step explanation: behind the x value (5) there are 2 ages that had a value. You add the two values (5+3) and you get 8.
Final answer is 8.

Answer:

39$

Step-by-step explanation:

20+15+4=39$

Answer:

70

10=70

70x3 = 210

The average time spent at each toll booth to less than 2 minutes.The average number of vehicles that pass through the tunnel each way during peak times is 4796MTA would like to keep the number of vehicles waiting in line (on average) to less than 10.

To determine the number of toll lanes that should be opened, we must first determine how many vehicles can pass through a single toll lane in one hour.To find out how many vehicles pass through a single toll lane in one hour, we can use the formula below:Number of vehicles that can pass through a single toll lane in one hour = (Number of minutes in an hour) / (Average time spent at each toll booth)Let's first convert the number of minutes in an hour so that we can plug it into the formula:60 minutes/hourPlugging in the numbers:Number of vehicles that can pass through a single toll lane in one hour = 60/2= 30We can see that one toll lane can handle 30 vehicles per hour.

To find out how many toll lanes are needed to handle 4796 vehicles, we must divide the total number of vehicles by the number of vehicles that a single toll lane can handle:4796/30 = 160Since there can't be a fraction of a toll lane, we must round up to the nearest whole number. Therefore, we can conclude that MTA should open six toll lanes to ensure that no more than ten vehicles are waiting in line on average.

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You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

Suppose the equation be \(a = b\\\)

Let there is a symbol \(c\) such that we have \(a = b = c\)

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

\(a = c\\b = c\)

in addition to  \(a = b\\\)

Since the given equation is \(log_{0.5}(x) = log_2(2+x)\)

The 2d graphs are usually expressed as \(y = f(x)\) on X-Y plane.

Taking the equation's expressions equal to y, we get

\(log_{0.5}(x) = log_2(2+x) = y\)

or, we get system of equations as

\(y = log_{0.5}(x)\\\\y = log_3{(2 + x)}\)

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

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Answer:

Step-by-step explanation:

5 = 4y - 25x

25x = 4y-5

x = 4y-5/25

x = 4y/25 - 1/5

The correct statement about the electromagnetic spectrum is (d) the frequency of infrared radiation, which has a wavelength of 1.0 × 10³ nm, is twice that of radio waves, which have a wavelength of 1.0 × 10⁶ nm.

The speed of light in a vacuum is constant, so the speed of different types of electromagnetic waves is the same. Therefore, statement (a) is incorrect because the speed of x-rays and infrared radiation is the same.

The wavelength of visible radiation decreases as its color changes from red to violet, not from blue to green. Thus, statement (b) is incorrect.

The frequency of a wave is inversely proportional to its wavelength. Since infrared radiation has a shorter wavelength (1.0 × 10³ nm) compared to radio waves (1.0 × 10⁶ nm), it has a higher frequency. Therefore, statement (c) is incorrect.

On the other hand, statement (d) is correct because a shorter wavelength corresponds to a higher frequency. Thus, the frequency of infrared radiation (1.0 × 10³ nm) is indeed twice that of radio waves (1.0 × 10⁶ nm) due to the significant difference in their wavelengths.

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Answer: $62.75

Step-by-step explanation:

1.)$20.00 x2= $40.00

2.)$14.50 +$8.25= $22.75

3.)$40.00 +$22.75= $62.75

Hope this helps

Answer: $171

Step-by-step explanation:

$247 divided by 13 hrs = $19/hr

$19/hr times 9 hrs = $171