i just need help with the table

Using the factor of 40, the equivalent expression of √40 is 2√10.

In the given question we have to find the expression that are equivalent to the given expression.

The given expression is √40.

To find the equivalent expression we simplify the given expression.

We can write 40 as the factor

40 = 2*2*2*5

So √40=√2*2*2*5

Since this is the square root so the the number which have power two so

√40=2√2*5

√40=2√10

So the equivalent expression of √40 is 2√10.

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(A) The probability that a randomly chosen child has a height of less than 56.55 inches is 0.456.

(B) The probability that a randomly chosen child has a height of more than 55.8 inches is 0.492.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

A) To solve this problem, we need to calculate the z-score of the height value using the formula -

z = (x - μ) / σ

where x is the height value, μ is the mean, and σ is the standard deviation.

Then, we can use a standard normal distribution table or calculator to find the corresponding probability.

For x = 56.55 inches -

z = (56.55 - 55.9) / 5.7 = 0.114

Using a standard normal distribution table or calculator, we find that the probability of a z-score less than 0.114 is approximately 0.4562.

Therefore, the probability value is obtained as 0.4562.

B) Again, we need to calculate the z-score of the height value -

z = (x - μ) / σ

For x = 55.8 inches -

z = (55.8 - 55.9) / 5.7 = -0.018

Using a standard normal distribution table or calculator, we find that the probability of a z-score more than -0.018 is approximately 0.5080.

However, we are looking for the probability that a randomly chosen child has a height of more than 55.8 inches, which is the complement of the probability of a height of less than or equal to 55.8 inches.

Therefore, we subtract this probability from 1 -

P(x > 55.8) = 1 - P(x ≤ 55.8) = 1 - 0.5080 = 0.4920

Therefore, the probability value is obtained as 0.4920.

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Answer:

35!

Step-by-step explanation:

5squared is 25 so you then do 25+10 wich = 35!

The number of turns the wheel makes is 1.93 ≈ 2.

What is Turns?

This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.

formular for calculating Turns:

Turns =         Lenght

              Circumference

Circumference of a circle, C= πD

Where,

Diameter=D

            π =22/7

Calculating Circumference;

C= 22  * 66

            7

    =207.4

From the question:

D= 66cm

L  =400m

Calculating Turns:

Turns =  Lenght

              Circumference

          =   400m

               207.4

      Turns =1.93

Turns =1.93≈ 2

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Answer:

(jk+9)(k+3)

Step-by-step explanation:

jk(k+3)+9(k+3)=(jk+9)(k+3)

Answer:

Step-by-step explanation:

B

The 50 fewer people will attend for every dollar the admission price increases option (b) is the correct interpretation of the slope of this equation.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

The number of people (n) who will attend a dance depends on the admission price (p), in dollars. This relationship is represented by the equation shown below:

n = 800 - 50p

The above equation represents the linear equation and the slope of the equation:

m = -50

As we can see the price increases the number of attendants decreases because the slope of the line is negative.

Thus, the 50 fewer people will attend for every dollar the admission price increases option (b) is the correct interpretation of the slope of this equation.

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Answer: b

Step-by-step explanation:

The vertices of the feasible region is (4, 3)

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

x + y ≤ 7

x - 2y ≤ -2

x ≥ 0

y ≥ 0

Express as equations

So, we have

x + y = 7

x - 2y = -2

Subtract the equations

3y = 9

So, we have

y = 3

Next, we have

x + 3 = 7

This gives

x = 4

Hence, the vertex of the feasible region is (4, 3)

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Answer:

by solving the angles of triangles we get A= 35 degree

Answer:

how do i cancel i dont know this

Step-by-step explanation:

Answer:

ANSWER

Step-by-step explanation:

Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.

If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).

For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.

Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any n-gon is 360°

Answer: hello your question is incomplete attached below is the missing codes

Answer : It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement was not written in the main function

Step-by-step explanation:

It may not work because; the double pointer P was not allotted a double using a new double ( I.e. Error in the main function ) also the cout statement  should be moved to the Main

The correction  is below

{

   double* p = new double;

   hypotenuse(1.5, 2.0, p);

  cout << "The hypotenuse is " << *p << endl;

}

Answer:

the standard form of

one hundred thousand, fifty-two is: 100,052

The sketch of the front elevation and the side elevation of the prism are added as an attachment

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

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

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Step-by-step explanation:

estimation of 6$+_+_?_!(_

Step-by-step explanation:

w = width

2w + 2 =  Length

Area = W x L  = 84 = w (2w+2)

                          84 = 2w^2 + 2w

                            0 = 2w^2 + 2w - 84        Use Quadratic Formula

                                                                 a = 2    b=2    c = -84

to find  

W = 6      then     L =  14 inches

Answer:

The domain of the vector function is :  ( -6, -2) ∪ ( -2, 6)

Step-by-step explanation:

The given vector function  can be correctly expressed as:

\(r(t) = \dfrac{t-2}{t+2}i + sin \ tj + In(36-t^2) k\)

The domain of the given function can be determined by finding the domain of each respective component.

To start with \(\dfrac{t-2}{t+2}\)

Not defined, t = -2

Thus, the domain of the first component of the vector = \(( - \infty , -2) \cup ( 2, \infty )\)

The 2nd component = sin t

No restriction on t

The 3rd component of the function is ㏑(36 - t²)

Let recall that natural is defined for +ve numbers,

i.e.

36 - t² > 0

(6 + t) (6 - t) > 0

Thus, it satisfies the inequality  -6 < t < 6

The third domain = (-6,6)

Overall;

The domain of the vector function is :  ( -6, -2) ∪ ( -2, 6)

Domain of a function is the set all possible inputs for that function.The domain of the given vector function is,

\((-6, -2) \cap (-2,6)\)

Domain of a function is the set all possible inputs for that function.

Given information-

The vector function given in the problem is,

\(r(t)=\dfrac{t-1}{t+2} \hat i++sin(t)\hat j+ln(49-t^2)\hat k\)

To find the domain of the above vector function, we need to find the domain of each function of vector quantity.

Lets find the domain of \(\hat i\) first which is given by,

\(\dfrac{t-2}{t+2}\)

This function is defined at all values except, t equals to -2 as the function is not defined at,

\(t=-2\)

Hence the domain of component \(\hat i\) is,

\((-\infty, -2) \cap (\infty,2)\\\)

Lets find the domain of \(\hat j\) first which is given by,

\(\sin(t)\)

Two trigonometry function sine and cosine defined for all real number.

This function is defined at all real numbers. Hence the domain of component \(\hat j\) is

Lets find the domain of \(\hat k\) first which is given by,

\(\ln(36-t^2)\)

Set the above argument greater than zero to find where the expression is defined.Thus,

\((36-t^2)>0\\(6+t)(6-t)>0\)

Therefore,

The domain of it should be \((-6,6)\)

Hence the domain of the given vector function is,

\((-6, -2) \cap (-2,6)\)

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Answer:

length= 17.5

width=11.5

( I worked this out myself but I don't know if its right tho)

1.  The new volume will be 60 cubic feet. 2. Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

In general, volume refers to the amount of space occupied by an object or substance, measured in three dimensions: length, width, and height. It is a physical quantity that is typically expressed in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).

1. The volume of the cuboid is calculated as follows:

Volume = length x width x height

Volume = 5 ft x 3 ft x 2 ft

Volume = 30 cubic feet

If we double the height, the new height will be 2 x 2 ft = 4 ft. The new volume can be calculated as:

New Volume = length x width x new height

New Volume = 5 ft x 3 ft x 4 ft

New Volume = 60 cubic feet

Therefore, the new volume will be 60 cubic feet.

2. Step 1: Determine how many dog beds Molly can make with the fabric she bought.

Molly bought 12.5 yards of fabric, and she uses 2.5 yards of fabric for each dog bed. We can use division to find how many dog beds she can make:

12.5 yards / 2.5 yards per dog bed = 5 dog beds

Therefore, Molly can make 5 dog beds with the fabric she bought.

Step 2: Calculate the cost of the fabric for each dog bed.

Molly bought the fabric for $4.50 per yard, and she uses 2.5 yards of fabric for each dog bed. Therefore, the cost of the fabric for each dog bed is:

$4.50 per yard x 2.5 yards per dog bed = $11.25 per dog bed

Step 3: Calculate the revenue from selling one dog bed.

Molly sells each dog bed for $17.50.

Step 4: Calculate the profit from selling one dog bed.

Profit = revenue - cost

Profit = $17.50 - $11.25

Profit = $6.25

Step 5: Calculate the total revenue from selling all of the dog beds.

Molly can make 5 dog beds, and each dog bed sells for $17.50. Therefore, the total revenue is:

5 dog beds x $17.50 per dog bed = $87.50

Step 6: Calculate the total cost of the fabric for all of the dog beds.

Molly uses 2.5 yards of fabric for each dog bed, and she can make 5 dog beds. Therefore, the total cost of the fabric is:

2.5 yards per dog bed x 5 dog beds = 12.5 yards

$4.50 per yard x 12.5 yards = $56.25

Step 7: Calculate the total profit from selling all of the dog beds.

Profit = revenue - cost

Profit = $87.50 - $56.25

Profit = $31.25

Therefore, Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

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Answer:

1,2, and 4

Step-by-step explanation:

vertical angles theorem, which says that the vertical angles that are formed when two lines intersect are congruent.

Answer:

C. 500

Step-by-step explanation:

Given that

The ordering cost per order is $50

The carrying cost percentage is 20%

The weekly demand is 100 units and there are 50 weeks in the work year

The cost per unit is $10

We need to find out the economic order quantity i.e. EOQ

So we applied the above formula

= √(2 × weekly demand × no of weeks × ordering cost) ÷ √(carrying cost × cost per unit)

= √(2 × 100 × 50 × $50) ÷ √(20% × $10)

= √(500,000 ÷ 2)

= 500 units

hence, the option c is correct

Answer:

Step-by-step explanation:

First one is TRUE...you'd multiply by negative one third

Second is FALSE...no multiplication needed to get x as a positive.

Answer:

y=(5/3)x

Step-by-step explanation:

Since y varies directly with x, then the constant of proportionality is equal to k=y/x. Since y/x=20/12=5/3, then k=5/3. This means the equation to relate x and y is y=(5/3)x

Definition for Simple Random Sampling:

A simple random sampling can be created by using a lottery method, where each member of the population is assigned a number after which numbers are selected at random. This is the sampling method the restaurant used: Simple random sampling.

Answer:

x + y = 87

1.5x + 0.5y = 78.50

Step-by-step explanation:

Let x be the number of nachos sold and y be the number of sodas sold

x nachos will cost 1.50x dollars
y sodas will cost 0.50y dollars

So total sales = 1.5x + 0.5y and we know he made $78.50

so one equation is
1.5x + 0.5y = 78.50

Total sold = x + y and we know that this number is 87

So the second equation is

x + y = 87

Answer:

V=TT r²h

Step-by-step explanation:

TT=3.14

r=6

h=15

V=TTr²h

V=3.14×6²×15

V=3.14×36×15

V=1695.6inch³

Given:

Find the probability that a randomly selected game from the session was played by the wolves, given that is was a loss.

Sol:

The probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

The formula of probability is:

So the total outcome is:

So, the probability is:

The probability is 0.200

Gregor scored 65 points on the Stats exam.

We can use the formula for calculating z-score:

z = (x - μ) / σ

Where

We are given that the population mean (μ) is 75 and the population standard deviation (σ) is 5.

We are also given that Gregor's z-score (z) is -2.

We can plug these values into the formula and solve for x:

-2 = (x - 75) / 5

Multiplying both sides by 5, we get:

-10 = x - 75

Adding 75 to both sides, we get:

x = 65

Hence, the score is 65 points

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The endpoints of AB are (2, 5) and (-4, 7). So the coordinates of the midpoint are (-1, 6).

These are the specified parameters:

AB are (2, 5) and (-4, 7)

Here,

x₁ = 2 and y₁ = 5

x₂ = -4 and y₂ = 7

The coordinates of the midpoint

= ((x₁ + x₂)/2 , (y₁ + y₂)/2)

= ((2 + (-4))/2 , (5 + 7)/2)

= (-2/2 , 12/2)

= (-1, 6)

So the coordinates of the midpoint of segment AB are (-1, 6).

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Answer: 600

Step-by-step explanation: 555

The five in the tens place is equal to 5

To round to the nearest tens place the number has to be 5 or more than 5