The school counselor needs to meet with students who have more than three absences. Here is some of the data about the students. Who are the individuals in this data set?


- Students

- School counselors

- Homeroom teachers


What does this data set contain?


- 2 variables, 1 of which is quantitative

- 2 variables, 2 of which are quantitative

- 5 variables, 1 of which is quantitative

- 5 variables, 3 of which are quantitative

Answer:

$20,000

Step-by-step explanation:

20,000 / 0.07 = 1400

The weight of the male that has a body surface area of 2.3 would be = 108kg

The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.

The formula for BSA = √w×h/3600

The weight of the male = X

The height of the male = 176cm

The BSA = 2.3

From the formula, make w the subject of formula;

w = BSA²× 3600/h

w = 2.3²× 3600/176

w= 5.29×3600 /176

w = 19044/176

w = 108kg

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b = 6 (option D)

a = 8, c = 10, b = ?

The triangle is right-angled

Using pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

Hypotenuse = c, opposite = b, adjacent = a

10² = b² + 8²

b² = 10²- 8²

b² = 100 - 64

b² = 36

squre root both sides:

b = √36

b = 6 (option D)

Answer: $5,040 & $5,085

Step-by-step explanation:

The expected value of the Computer Co. stock is $5,040, and the expected value of the US Treasury bond is $5,085

The expected value of both the stocks Computer Co. and  US Treasury bond is  $5,062.5.

When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.

To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.

The expected value is the weighted average also known as the mean.

Given, The expected value of the Computer Co. stock is $ 5,040, and the expected value of the US Treasury bond is $ 5,085.

Therefore the expected value of both stocks is,

= (5040 + 5085)/2.

= $5,062.5

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Answer:

No solution exists

Step-by-step explanation:

x - 1 < 2x + 2 < 2x + 1

examine the center and right terms

2x + 2 < 2x + 1

Subtract 2x from both sides

2 < 1      

This is False. Therefor

No solution exists

Answer:

n=6

Step-by-step explanation:

\(\frac{1}{2} n=3\)

Multiply both sides by 2

2*1/2n=3*2

Simplify;

n=6

Answer: n=6

Step-by-step explanation:

6*1/2=3 so this is y n=6.

Answer:

2.5 half-lives

Step-by-step explanation:

Find \(t_{h}\) in \(N(t)=N_{0}e^{-kt}\) given \(N(t) = 2, N_{0} =64,t=\frac{25}{2}\)

\(N(t)\) is the amount after the time \(t\), \(N_0\) `is the initial amount, \(t_{h}\) is the half-life

We know that after half-life there will be twice less the initial quantity:

\(N(t_{h})=\frac{N_{0} }{2}=N_{0}e^{kt_{h} }\).

Simplifying gives \(\frac{1}{2} =e^{-kt_h} or k = -\frac{In(\frac{1}{2}) }{t_{h} } .\)

Plugging this into the initial equation, we obtain that \(N(t)=N_{0}e^\frac{In(\frac{1}{2}) }{t_{h} }\)or \(N(t)= N_{0} (\frac{1}{2})^\frac{t}{t_h}.\)

Finally, just plug in the given values and find the unknown one.

From \(2=64(\frac{1}{2})^\frac{\frac{25}{2} }{t_h}\), we have that \(t_h\) = \(\frac{25 In (2)}{2 In (32)\\}\)

So you should get: \(t_{h} =\frac{25 In (2)}{2 In (32)\\}=2.5.\)

The number of half-lives that transpired during this time period is equal to 2.5 hours.

Given the following data:

Time = 12.5 hours.

Initial mass = 64 grams.

Remaining mass = 2.0 grams.

Mathematically, the amount of a radiocative element that is remaining after time (t-hours) is given by this formula:

\(ln(\frac{A}{A_0} )=ln(\frac{1}{2} )\frac{t}{H}\)

Where:

Substituting the given parameters into the formula, we have;

ln(2/64) = ln(1/2) × 12.5/H

-3.466 = -0.693 × 12.5/H

H = 12.5 × -0.693/-3.466

H = 12.5 × 0.1999

H = 2.5 hours.

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Answer:

71. 19  72. 100  73. 9  74.1  75. 90  76. 4

Step-by-step explanation:

#71.

Start with 2b-a

Plug in the given numbers where the variables are.

Now the equation is 2(12) - 5

Solve 2(12) - 5

2(12) = 24      24 - 5 = 19

#72.

Start with d(ab-c)

Plug in the given numbers where the variables are.

Now the equation is 2((5×12) - 10)

Solve in the parenthesis first.

5×12= 60    60-10=50    2(50)= 100

#73.

Start with 3+ \(\frac{b}{d}\)

Plug in the given numbers where the variables are.

Now the equation is 3+ \(\frac{12}{2}\)

Solve.

\(\frac{12}{2}\) = 6    3+6 = 9

#74.

Start with \(\frac{4a}{b+4d}\)

Plug in the given numbers where the variables are.

Now the equation is \(\frac{4(5)}{12+(4x2)}\)

Solve.

4(5)= 20    

(4×2)= 8    12+8= 20

Now the fraction is  \(\frac{20}{20}\) = 1

#75.

Start with 2a² - c

Plug in the given numbers where the variables are.

Now the equation is 2(5)² - 10

Solve 2(5) = 10      10² = 100  100-10= 90

#76.

Start with b - c + d

Plug in the given numbers where the variables are.

Now the equation is 12 - 10 + 2

Solve.

12 - 10 = 2     2 + 2 = 4

Answer:

10  (5x−3)

Hope this helps!

The value of x is 33.2

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.

Also the ratio of corresponding sides of similar triangles are equal.

Therefore;

Triangle EHG and EFG are similar

39/36 = 36/x

36 × 36 = 39x

39x = 1296

divide both sides by 39

x = 1296/39

x = 33.2

Therefore the value of x is 33.2

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Answer: -2

Step-by-step explanation:

Answer:

x ≈ 2.4

Step-by-step explanation:

Area of the triangle = 1/2 absin theta

Find the diagram of the triangle attached

a = 2x-3

b =x+2

theta = 45°

Substitute and find x

4√2 = 1/2(2x-3)(x+2)sin45

8/√2 = (2x-3)(x+2)(1/√2)

8 = (2x-3)(x+2)

Expand

8 = 2x²+4x-3x-6

2x²+x-6-8=0

2x²+x-14 = 0

x = -1±√1²-4(14)(2)/2(2)

x = -1±√1+112/4

x = -1±√113/4

x = -1+10.63/4

x = 9.63/4

x = 2.4

The value of x is 3.075.

Given that,

The area of the triangle is \(4\sqrt{2}\) square meter,

and \(\theta\) is 45 degrees.

The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).

We have to determine

The value of x.

According to the question

The area of the triangle is determined by the following formula,

\(\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta\)

Substitute all the values in the formula

\(\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\\)

\(\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575\)

The value of x can not be negative so the value of x is 3.075.

Hence, The required value of x is 3.075.

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Answer:

0.45x−0.125

Step-by-step explanation:

0.45x-1/4

0.45x - 0.25 ÷ 2

0.45x−0.125

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

A

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

i just did this test today

The first three non zero terms in the Taylor polynomial approximation to the given DE is y(t) = t + t²/2 -(3/2)t³ .

In the question ,

it is given that ,

the differential equation is

y'' + 9y + 5y³ = Cos(10t)   ...equation(1)

y(0) = 0, y'(0) = 1

for y = 0 , the differential equation is

y''(0) + 9y(0) + 5{y(0)}³ = Cos90)

y''(0) + 9 + 5 = 1 ;

y''(0) = 1.

differentiating equation(1) with respect to "t" , we have

y''' + 9y' + 15y²y' = -10Sin(10t)

y'''(0) + 9y'(0) + 15{y(0)}².y'(0) = -10Sin(0)

y'''(0) + 9 + 0 = 0

y'''(0) = -9

The Taylor series is given by

y(t) = y(0) + y'(0)t + 1/2.y''(0)t² + 1/3!.y'''(0)t³ + ....

Now substituting the values of y(0) , y'(0) , y''(0) , y'''(0) , we have

y(t) = 0 + 1.t + 1/2.t² + 1/6.(-9)t³ + ....

= t + t²/2 - 3/2.t³ + ...

Therefore , the first three terms are t , t²/2 , -3/2.t³   .

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Answer:

14m^2

Step-by-step explanation:

Area is the space taken up by a two dimensional object.

The formula is (1/2) base times height for only triangles.  Other shapes or objects use different formulas.

7m * 4m = 28m^2

28m^2 * 1/2

28m^2/2

Divide 2 into 28, which is 14.  And two variables multiplied by each other become variable squared or to the second power.

14m^2

So, the area of the triangle is 14m^2.

Answer:

x - 27 + 27 = 62 + 27

x - 0 = 89

(annex rule)

x = 89

Step-by-step explanation:

please mark brainlist

Answer:

D. 75

Step-by-step explanation:

The cost to buy all of the crown molding for the bedroom would be $75.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that bedroom and office in the diagrams below are similar rectangles and the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.

Since it will cost $120 to buy the materials for crown molding in the completed office. Thus Crown molding is the decorative border where , the walls meet the ceiling. It will go all the way around all four walls.

Hence, cost to buy all of the crown molding for the bedroom = $75.

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The length of GC could be 7.2 when Triangle GHC is similar to triangle JKC.

What is a triangle ?

Triangle can be defined in which it contains 3 sides and 3 angles and the sum of three angles is 180 degrees .

Given

Triangle GHC is similar to triangle JKC

JK = 15

KC = 20

JC = 18

GH = 6

SO,

△GHC ~ △JKC

we know that

(GH/GC) = (JK/JC)

(6/GC) = (15/18)

GC= 6 * 18 / 15

GC = 36 / 5

GC = 7.2

Hence , the length of GC could be 7.2 when Triangle GHC is similar to triangle JKC.

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Answer:

false

Step-by-step explanation:

consider y = 3

its 6 for one and 3 for the other

Answer:

30

Step-by-step explanation:

Answer:

3 times 10 + 5 times 1

Step-by-step explanation: