74. Noam wants to put a fence around his rectangular garden. His garden measures 35 feet by 50 feet. Thegarden has a path around it that is 3 feet wide. How much fencing material does Noam need to enclose thegarden and path?A. 97 ftB. 194 ftC. 182 ftD. 146 ft

Given:

Number of boys=10

Number of girls=12

Out of 22 members, 4 members is need to be selected.

To find probability to form a committee consisting of 2 boys and 2 girls:

So, we get

Hence, the correct option is B.

Explanation

The question wants us to select all the domains in the set of functions graphed.

The domain of a function is the set of all possible inputs for the function.

To do so, we have to be aware that there are 3 pieces of functions

These are shown below

These are

ANSWER

C. 9

EXPLANATION

The volume of a cone is:

The system of equation are:

to solve this problem we can solve the second equation for x so:

Now we can replace x in the firt equation so:

and we can solve for y so:

Now we replace the value of y in the secon equation so:

So the solution as a ordered pair is:

The length of the line segment from a to b is 6.08 units or [tex]\sqrt{37}[/tex] units.

The length is described as the distance between the two points in a line. The coordinate usually refers to the dimensions of the point with respect to the two dimension graph.

Relation between the coordinates and length:  [tex]\sqrt{(x_{1} -x_{2}) ^{2} +(y_{1} -y_{2} )^{2} }[/tex]

Now let point a be ([tex]x_{1},y_{1}[/tex]) and point b be ([tex]x_{2},y_{2}[/tex])

Thus putting values,

length = [tex]\sqrt{(3-(-3))^{2}+(4-3)^{2} }[/tex]

length = [tex]\sqrt{36+1}[/tex]    

length = [tex]\sqrt{37}[/tex]

Hence the length of ab is [tex]\sqrt{37}[/tex] or 6.08 units.

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1) To add or subtract fractions, let's firstly check the denominators

In this case, the denominator is the same.

The plus before the bracket does not change the sign.

That is why we get to -3/13 as a result.

Answer:

Explanation:

Here, we want to write a figure that would make the given expression a perfect square

As a perfect square, we mean that:

In this case, what we have to do is to divide the coefficient of x by 2, square it and write it

The coefficient of x is the number before x (we must consider its sign however)

Thus, we have the coefficient in this case as -18

Dividing this by 2 and squaring, we have:

Thus, we have:

y= 11 + 4x

3x +2y = 0

Put the first equation into the second one. (replace the value of y)

3x +2 (11 + 4x) = 0

Solve for x:

3x + 22 + 8x = 0

3x+8x = -22

11x = -22

x = -22/11

x = -2

Replace x=-2 in the first equation and solve for y

y= 11 + 4 (-2)

y= 11-8

y= 3

Solution:

x= -2 , y=3

The given polynomial is:

Using the long division method:

The equattion can be written in the form:

Quotient + Remainder / Divisor

In this case r =3, h= 7

In this case,

r=3, h=7

Hence

volume of cone + volume of cylinder = 263.89 cube units

Solution:

Using the formula;

Thus;

ANSWER: $33

Angle (D) = m(D) = 50°, CDE provides the following: 3. angles

CDE provides the following: 3. angles

The total of the angles in a triangle is 180 degrees, so:

From both sides, deduct 36 as follows:

From the aforementioned query, we are requested to determine:

Hence:

Therefore, angle (D) = m(D) = 50°, CDE provides the following: 3. angles

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We have that Linda's mean speed is 54 miles per hour. Since the total trip is 378 miles, we have the following rule of three:

therefore, we have:

Finally, we have that Linda should expect to drive 7 hours.

The probability that the sample mean will differ from the population mean by more than 1.8 mm = 0.9949

Given,

In the question:

According to the given problem the mean diameter μ= 149 mm (population mean) and the standard deviation is σ = 8mm

random sample size, n= 50 steel bolts is selected

Let the random variable that represents the diameter of steel bolts be denoted by x and from the problem we have x = 3.3mm

Let z = (x-μ) / (σ/√n ) ....(1)

using formula (1) and when the sample mean differs from the population mean by more than 1.8mm

z = (3.3 - 149) /(8/√50 )

⇒z = -2.575

The probability that the sample mean will differ from the population mean by more than 1.8 mm

P( z > -2575) = 1 - P(z< -2.575) = 1 - 0.0051 = 0.9949

Hence, The probability that the sample mean will differ from the population mean by more than 1.8 mm = 0.9949.

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Answer:

A. x > -1

Step-by-step explanation:

x > -1

        -------------->

<----0------------->

       -1

x < -1

<-------

<------0------------>

        -1

x ≥ -1

            ---------->

<---------|---------->

            -1

x ≤ -1

<----------

<---------|---------->

            -1

< and > represent an open circle

≤ and ≥ represent a closed circle

I hope this helps!

we have that

the number of patients is (14+6+3+17)=40

patients AB=3

so

40 -----> 100%

applying proportion

100/40=x/3

x=3*100/40

ThereforeGiven the image, we can find the missing angle using the sum of angles at a point rule.

The sum of angles at a point is known to be 360 degrees.

Therfore,

Therefore, the measure of "a" is

Answer:

According to the table, the statement "note sent to parents" is represented by the following inequality:

this can be represented as all integers less than zero. That is all integers to the left of 0.

We can conclude that the correct answer is:

Draw points on the integers to the left of 0.

Answer:

4

Step-by-step explanation:

The slope of the line through the points is

[tex]\frac{1-5}{-3-(-2)}=4[/tex]

Parallel lines have the same slope, so the answer is 4.

The velocity of the body under simple harmonic motion (SHM) at time t  is equal to -2sint. (Option D)

A type of self-sustaining periodic motion known as simple harmonic motion.

It is observed by the formula:

y = y' + Δy · cos ωt     ....1.

Where,

 y' = Initial position

Δy = Amplitude

ω = Angular frequency.

 t = Time

To find the equation for the velocity of the body in simple harmonic motion differentiating equation w.r.t time (1),

then we get

v = - ω · Δy · sin ωt      ....2.

If we know that ω = 1, t = t and Δt = 2, then the velocity of the body is:

v = - 1 · 2 · sin t

v = -2sint

The velocity is equal to -2sint

The velocity of the body under simple harmonic motion (SHM) at time t  is equal to -2sint. (Option D)

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Given the expression

Using product rule

Where

Hence, answer is 1/243

The numerator is 1

The denominator is 243

In this problem, we have an exponential growth function of the form

where

a=10 bacteria (initial value at 2 pm)

b is the base of the exponential function

Find out the value of b

we know that

For x=0 (2 pm), y=10 bacteria

At 5 pm

y=33,750 bacteria

x=(5 pm-2 pm)=3 hours

substitute in the exponential equation

Solve for b

the equation is

Part B

At 7 pm

x=(7 pm-2 pm)=5 hours

substitute

The inequality is:

now we solve the inequality for x

This means that all the number, from -1 to infinit are solution of the inequality, and the only option that is not a solution is a) -2

We know that

• The volume of one ball is 221 cubic centimeters.

Since the ball is spherical, we can find its radius with the following formula.

The diameter would be double than the radius, by definition.

Since there are three balls in the cylinder, the height would be

Now, we find the volume of the cylindrical package.

we have the parent function

f(x)=|x| ------> vertex is (0,0)

Translate at (-3,2)

The rule of the translation is given by

(x,y) ----> (x-3,y+2)

that means ----> 3 units at the left and 2 units up

so

Applying the translation

the new function is equal to

To find the linear equation, we use two points from the table (1, -3) and (3, -11). First, we have to find the slope with the following formula.

Where,

Let's those coordinates to find the slope.

The slope is -4.

Now, we use the point-slope formula to find the equation.

Now, we solve for y to express it in slope-intercept form.

26

Here, we want to write a range of values for x.

The shape we have is not a parallelogram but we have two equal sides

If it was a complete parallelogram, the two marked angles will be equal

But since what we have is not a complete parallelogram,

then;

It is to be noted that the slope of the line is 5/2. This means that 5 mm of rain falls every 2 hours. See the calculation below.

In general, the slope of a line indicates its gradient and direction. The slope of a straight line between two locations, say (x₁,y₁) and (x₂,y₂), may be simply calculated by subtracting the coordinates of the places. The slope is often denoted by the letter 'm.'

To find the slope of the line in the graph, we use the following equation:

m = [y₂ - y₁]/[x₂-x₁]

Where (x1,y1) = coordinates of the first point in the line; and

(x₂,y₂) = coordinates of the second point in the line

Given that the points (2, 5) from the graph is (x₁, y₁) and the point on graph (4, 10) are (x₂,y₂) Hence,

m = [10-5]/[4-2]

The slope (m) = 5/2

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Full Question:

This is the complete question and the described graph is attached

This graph shows the amount of rain that falls in a given amount of time.

What is the slope of the line and what does it mean in this situation?

Select from the drop-down menus to correctly complete each statement

The slope of the line is ___

This means that ___ mm of rain falls every ___

Nominal data refers to non numerical data, for example categories, colors, etc...

Ordinal data refers to numerical data with a natural order, it comprehends real numbers.

Intervals comprehends data with equal distance between the values and no meaningful zero

Ratios comprehends data with equal distance between the values and a meaningul zero value.

With this in mind, the IQ scores of the college students represent numerical data, with a natural order, and the distance between the values is not equal, so you can classify the data as "ordinal"

Answer

11) a > 3

12) b > (2/3)

Explanation

11) a - 15 > -4 (-6 + 3a)

a - 15 > 24 - 12a

a + 12a > 24 + 15

13a > 39

Divide both sides by 13

(13a/13) > (39/13)

a > 3

In graphing inequality equations, the first thing to note is that whenever the equation to be graphed has (< or >), the circle at the beginning of the arrow is usually unshaded.

But whenever the inequality has either (≤ or ≥), the circle at the beginning of the arrow will be shaded.

Then, the direction of the graph depends on the direction of the inequality sign, for example, the answer here says a is greater than 3. So, the graph will start with an unshaded circle and cover the numbers greater than 3.

12) 3 (6b - 2) > (8 - 3b)

18b - 6 > 8 - 3b

18b + 3b > 8 + 6

21b > 14

Divide both sides by 21

(21b/21) > (14/21)

b > (2/3)

This answer is similar to that of number 11. For the graph, it will start with an unshaded circle and move towards the numbers greater than (2/3)

Hope this Helps!!!