Write the numbers in each circle that is described by the attribute written outside the circle. Numbers in the overlapping regions must meet the requirements of each circle. Justify why you placed the numbers in the overlapping regions.

The fact that Dean Field places random numbers in the general ledger system to make it balance and leaves the office to catch his flight is wrong.

It should be noted that a ledger simply means a record of the balance of each of the accounts of a business.

In this case, when he realizes the company’s trial balance is a mess and it does not balance, he should have waited and ensured that he re calculated it and made it balance.

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The angle of depression of the airplane is 39.8°, length of the runway is 45794 ft, and approximate height of the tower is 321 m.

The angle of depression of the airplane is given as follows:

Let the angle of depression be A.

[tex]A= {tan}^{ - 1} ( \frac{15000}{8000} ) = {39.8}^{o} [/tex]

Angle of depression is 39.8°.

If the angle of elevation is 6.8°, the length of the runway l is calculated thus:

horizontal distance of airplane from end of runway = d

length of runway, L = d - 80000 ft

[tex]d = \frac{15000}{tan 6.8°} = 125794 ft[/tex]

L = 125794 - 80000

L = 45794 ft

The length of the runway is 45794 ft

2. Let the height of the tower be H

[tex]H = \tan(69.8) \times 118 = 321m[/tex]

The approximate height of the tower is 321 m

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Answer:

4th one is correct

Step-by-step explanation:

it perfectly matches all the given condition

Answer: [tex]x^{2}+14x-6y[/tex]

Step-by-step explanation:

[tex]4(3x+y)+2(x-5y)+x^{2} \\ \\ 12x+4y+2x-10y+x^{2} \\ \\ \boxed{x^{2}+14x-6y}[/tex]

a) T - Calories, 2000 - Minimum calories, 500 - Additional calories per exercise hour, b) We should consume 3500 calories to spend three hours exercising.

In this question we have a linear function where the independent variable is the exercise time (h), in hours, and the dependent variable is the calorie gain (T), in calories. The constant "2000" is the minimum calorie consumption and the constant "500" represents the amount of additional calories per each hour of exercise.

Now we proceed to respond the questions of the part a):

(i) T - Amount of calories needed, (ii) 2000 - Minimum calorie consumption, (iii) 500 - Amount of additional calories per hour of exercise.

b) And lastly we calculate the amount of calories by evaluating the function:

T = 2000 + 500 · 3

T = 2000 + 1500

T = 3500

We should consume 3500 calories to spend three hours exercising.

The statement is incomplete, the complete form is shown below:

You are trying to bulk up and gain muscle. Your trainer says that your daily calorie intake should increase based on the hours you spend exercising and can be represented by the following equation: T = 2000 +  500 · h

a) What does each part of this expression represent? (i) T = , (ii) 2000, (iii) 500, (iv) h

b) If you spend 3 hours exercising, how many calories should you consume?

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Using the binomial distribution, it is found that there is a 0.3438 = 34.38% probability that fewer than 3 of them are boys.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, the values of the parameters are given as follows:

n = 6, p = 0.5.

The probability that fewer than 3 of them are boys is given by:

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{6,0}.(0.5)^{0}.(0.5)^{6} = 0.0156[/tex]

[tex]P(X = 1) = C_{6,1}.(0.5)^{1}.(0.5)^{5} = 0.0938[/tex]

[tex]P(X = 2) = C_{6,2}.(0.5)^{2}.(0.5)^{4} = 0.2344[/tex]

Then:

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0156 + 0.0938 + 0.2344 = 0.3438[/tex]

0.3438 = 34.38% probability that fewer than 3 of them are boys.

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This is an identity used to determine the measure of sides and angles of a triangles. The value of x from the given diagram is 7.18 units

This is an identity used to determine the measure of sides and angles of a triangles

From the given triangle

Opposite =  5.5

Hypotenuse = x

According to the theorem

sin 50 = 5.5/H

x = 5.5/sin50

x = 7.18units

Hence the value of x from the given diagram is 7.18 units

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Using it's concept, it is found that the percentage of students surveyed that said their favorite color was blue was of 53%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, 424 out of the 800 students surveyed said their favorite color was blue, hence the percentage is given by:

[tex]P = \frac{424}{800} \times 100\% = 53\%[/tex]

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Answer:

3/10

Step-by-step explanation:

So you have 2/5 left in your cupboard. Say the amount of chips originally in your cupboard would be 30. 2/5 of 30 would be 12.

Then multiply 12 by 3/4 so it would be 3/4 of 12.

The result would be 9

9/30 = 3/10

this is complicated explanation

there are much easier explanations tho

Answer:

603.44 [in²]

Step-by-step explanation:

A = πr²/2 = 192.08 * π [in²] ≈ 603.44 [in²]

Answer:

The area of the semicircle having a radius of 19.6 meters is

603.68 [tex]m^{2}[/tex].

Detailed Answer:

The formula for the area of a circle is π[tex]r^{2}[/tex]. Therefore, the formula for the area of a semi-circle is ([tex]\frac{1}{2}[/tex] π[tex]r^{2}[/tex]).When the calculation is done

[tex]\frac{1}{2}[/tex] ×[tex]\frac{22}{7}[/tex] × 19.6 × 19.6 = 603.68 meters squared.

Answer:

2

Step-by-step explanation:

the same as...

(2) is the answer

If the population is highly skewed, the sample size needed for the central limit theorem to apply usually has to be the same as that when the population is not highly skewed.

The central limit theorem states in probability theory that, in many instances, when independent random variables are added together, their correctly normalized sum tends toward a normal distribution, even if the original variables are not normally distributed.

If the population is highly skewed, the sample size needed for the central limit theorem to apply usually has to be the same as that when the population is not highly skewed.

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Considering the given function, the ordered pair (5,8) means that the signed up for 5 weeks of yoga classes and 8 weeks of kickboxing classes.

The function that represents the relationship between the number x of yoga classes that Donovan signs up for and the number y of kickboxing classes is given by:

8x + 12y = 136.

Hence the ordered pair (5,8) means that the signed up for 5 weeks of yoga classes and 8 weeks of kickboxing classes.

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Answer:

8.5

Step-by-step explanation:

24x = 17 ×12

24×= 204

divide each side to get your awnser.

Answer:

Sqrt (11/8)

Step-by-step explanation:

Sec^2 - Tan^2 = 1

- Tan^2 = 1 - Sec^2

Tan^2 = -1 + Sec^2

Tan^2 = 3/8

3/8 = -1 + Sec^2 Theta

1 + 3/8 = Sec ^2 Theta

11/8 = Sec^2 Theta

Sqrt ( 11/8) = Sec of theta

-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)

Answer:

B. 3.25 p.m.

Step-by-step explanation:

[tex]20 + 30 + 45 = 96 \: minutes \\ 95 \: minutes \: = 60 \: minutes + 35 \: minutes \\ 95 \: minutes \: = 1 \: hour \: 35 \: minutes\\ 5.00 \: p.m. - 1 \: hour \: 35 \: minutes = 3.25 \: p.m.[/tex]

Let's consider the relationship between the circumference and the radius:

 ⇒ first, consider the equation for finding the circumference

      [tex]Circumference = 2\pi *radius[/tex]

Let's consider the known information

Let's plug the known information to find the radius:

  [tex]Circumference = 2\pi *radius\\36\pi =2\pi *radius\\radius = 18[/tex]

Thus the radius is 18 cm

Answer: 18 cm

Hope that helps!

The time it will take to fill the vat if both pipes are left open is = 4.3 hours

The number of pipes a vat has = 2

The time it takes the inlet pipe to fill the vat = 3hrs

The time it takes the outlet pipe to empty the vat= 10hrs

Therefore, the time it will take to fill the vat if both pipes are left open is;

1/t = 1/3-1/10

1/t = 7/30

Make t the subject of formula,

t = 30/7

t= 4.3 hours

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[tex]\begin{cases} v=5i-7j\\\\ w=3i+2j \end{cases}\qquad \begin{cases} < \stackrel{a}{5}~~,~~\stackrel{b}{-7} > \\\\ < \stackrel{a}{3}~~,~~\stackrel{b}{2} > \end{cases}\qquad \qquad \stackrel{magnitude}{\sqrt{a^2 + b^2}} \\\\[-0.35em] ~\dotfill\\\\ ||v||~~ - ~~||w||\implies \sqrt{5^2+(-7)^2}~~ - ~~\sqrt{3^2 + 2^2}\implies \sqrt{74}-\sqrt{13} ~~ \approx ~~ 5[/tex]

Answer:

the answer is yuo 4utvnjj

Answer:

Step-by-step explanation

Answer= 224

x=224

190x20=3,800/17=223.529412 (make sure to round up)

224

Answer:

B

Step-by-step explanation:

Answer:

es esta 1/5 y 6/8 o 15 y 68?

Answer:

2.165 × 10⁻⁵

Step-by-step explanation:

Move the decimal -5 places to the right. For every scientific notation, 10 is the default number you are multiplying the decimal by. The exponent is the number of places you moved the decimal point. The exponent is positive when moving left, negative when moving right.

Hope it helps!

[tex]\text{According to the factor theorem,}\\\\x-a~ \text{is a factor of}~ f(x)~ \text{if}~ f(a) = 0, ~ \text{where}~ a \in\mathbb{R}\\\\\text{Given that,}\\ \\P(x) = x^7 -5x^5 +2x^4 -x^2 +9\\\\P(6) = 6^7 -5\cdot 6^7 +2 \cdot 6^4 -6^2 +9 = 243621 \neq 0\\\\\text{Since} ~ P(6)\neq 0~, ~ x -6 ~ \text{is not a factor of P(x).}[/tex]

Answer:

a ) Electronically , by reviewing billing receipts

Step-by-step explanation:

The main purpose of controlling inventory is to make sure that the optimal amount of products are being kept.

Therefore, option A is correct.

Answer:

[tex] { - 7y}^{2} + 20y + 32[/tex]

Step-by-step explanation:

1.) -7y times y = -7y(squared)

2.) -7y times -4 = 28y

3.) -8 times y = -8y

4.) -8 times -4 = 32

5.) Combine like terms

[tex] { - 7y}^{2} + 28y - 8y + 32 = { - 7y}^{2} + 20y + 32[/tex]

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(6,5)\qquad B(6,15)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(6,5)=3(6,15)[/tex]

[tex](\stackrel{x}{12}~~,~~ \stackrel{y}{10})=(\stackrel{x}{18}~~,~~ \stackrel{y}{45})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{12 +18}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +45}}{3+2} \right)} \\\\\\ P=\left( \cfrac{30}{5}~~,~~\cfrac{55}{5} \right)\implies P=(6~~,~~11)[/tex]

Answer:

x=101

Step-by-step explanation:

Fun angles......................

Answer:

x = 79°

Step-by-step explanation:

The arrows on the line segments indicate that the lines are parallel.

As the parallel line segments are the same length, the other pair of opposite line segments are also parallel and the same length.  Therefore, we can apply the Alternate Interior Angles Theorem.

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Therefore, the missing angle in the triangle including angle x is 28°.

Interior angles of a triangle sum to 180°

⇒ 73° + 28° + x = 180°

⇒ x = 180° - 73° - 28°

⇒ x = 79°

Hi Student!

Let's go through each of the options that were provided to the question stating what part of the circle was highlighted in red and talk about what they mean.

First off, radius is the distance from the outer line to the middle which perfectly incapsulates what the red line is.  Therefore, the correct answer would be option A, Radius.

However, if you want to understand the rest of the definitions you can follow with the bullets provided.