Please see the picture below. I need parts A B and C

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Since angle D is 50, E is 80, we can add those two for now, 50+80=130, to make it 180, we can do 180-130 which gives us 50. So the value of x is 5. Sorry that its pretty confusing

The volume of gasoline in the tank as a function of time can be determined as,

The time taken to fill the tank can be determined as,

Thus, the requried domain is,

The range of the function can be determined as,

Thus, the above expressions gives the required domain and range of the function.

The probability that joe and jane end up in the same class is 0.3258 .

In the question ,

it is given that

90 students is to be split into 3 equal size classes , so ,

the three classes  will have 30 students each .

let these classes be Class A , Class B and Class C .

Let Joe and Jane be in Class A .

the total number of ways of selecting 30 students for class A from 90 students is C(90,30) .

Since , we have fixed Joe and Jane in Class A , the remaining 28 spots of class A can be filled by remaining 88 students  in C(88,28) ways ,

So , the probability that Joe and Jane end up in the same class is

= C(88,28)/C(90,30) .

Since there are three  classes ,

the required probability is 3*C(88,28)/C(90,30) .

= 3×[tex]\frac{88!}{28!*60!}[/tex]×[tex]\frac{60!*30!}{90!}[/tex]

= 29/89

= 0.3258

Therefore , the probability that joe and jane end up in the same class is 0.3258   .

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Answer:

no solution

Step-by-step explanation:

After you level up solving equations, sometimes there is NO solution (and sometimes there is infinite solutions) instead of always getting a number answer.

How do you know when?

Solve as usual:

2x - 3 = 4 + 2x

Subtract 2x from both sides.

-3 = 4

When all your variables "fall out" of the equation and you end up with a false statement, then you have NO Solution.

Answer:

B, D, E

Step-by-step explanation:

2x - 5 = 15

2x = 20

x = 10

B) 2x = 20

x = 10

D) 2x - 20 = 0

2x = 20

x = 10

E)4x - 10 = 30

4x = 40

x = 10

The first one is TRUE since there are not outliers

The second one is FALSE

The interquartile range is 10, so the third one is FALSE

The data is skewed since the median is not in the middle,so the fourth is TRUE and the fifth is FALSE

The sixth one is TRUE

The last one is FALSE.

Summirizing, we have

True

False

False

True

False

True

False

Answer:

49.5ft³

Step-by-step explanation:

If it is 2 ft more than 3 times as long as it is wide then:

l = 3w + 2

which means:

w = (l-2)/3

and:

d = 1/2((l-2)/3)

Now just substitute in 11 for l

w = (11 - 2)/3

w = 9/3

w = 3

d = 1/2((11-2)/3)

d = 1/2(9/3)

d = 1/2(3)

d = 1.5

So the total volume is:

11 * 3 * 1.5

49.5

The mean lifetime of a bulb is 520 hours, while the variance of the lifetime is 225. The probability that a light bulb will survive at most 533 hours is 0.86.

Given that,

The lifespan of light bulbs is generally distributed. The mean lifetime of a bulb is 520 hours, while the variance of the lifetime is 225.

We have to calculate the probability that a light bulb will survive at most 533 hours.

We would use the normal distribution formula, which is stated as, because the lifespan of light bulbs is distributed regularly,

z = (x - µ)/σ

Where

x = life of light bulbs.

µ = mean lifetime

σ = standard deviation

From the information given,

µ = 520 hours

Variance = 225

σ = √variance = √225

σ = 15

The probability that a light bulb will last for no more than 560 hours is given by

P(x ≤ 533)

For x = 533

z = (533 - 520)/15 = 0.86

According to the normal distribution table, 0.86 represents the probability for the z score.

Therefore, the probability that a light bulb will survive at most 533 hours is 0.86.

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Area = 300 ft^2

Formula

Area = length of a side x length of a side

Substitution

300 = length of a side ^2

The length of a side is between 17 and 18

Answer:

The length of the side of the square is approximately [tex]17.32[/tex] feet, which lies between the whole numbers [tex]17[/tex] and [tex]18[/tex].

Step-by-step explanation:

Step 1: Assume your variable

Since all the sides of a square are the same, let's consider the side to be the variable: [tex]x[/tex].

Step 2: Create an equation

The formula for the area of a square is:

[tex]\text{Area}=\text{Side}^{2}[/tex]

We have assumed the side to be [tex]x[/tex], and the area is said to be [tex]300[/tex], so substitute these values into the formula:

[tex]\text{Area}=\text{Side}^{2}\\300=x^{2}[/tex]

Step 3: Solve the equation

Using the formula for the area of a square, we came to find an equation:

[tex]x^{2}=300[/tex]

Now, let's find the value of [tex]x[/tex]:

[tex]x^{2}=300\\\\\text{Square root both sides of the equation:}\\\sqrt{x^{2}}=\sqrt{300}\\\\\text{Simplify:}\\x=\sqrt{300}\\\\\text{Calculate:}\\x\approx 17.32[/tex]

The length of the side of the square is approximately [tex]17.32[/tex] feet.

As we know, this number lies between [tex]17[/tex] and [tex]18[/tex].

Different possibilities for the given case are, 267540

4 railroads chosen from 15 class I railroads

2 railroads chosen from 8 class II railroads

1 railroad chosen from 7 class III railroads

So total combinations    = ¹⁵C₄ ˣ ⁸C₂ ˣ ⁷C₁

   = (15!)/(4!*11!) x (8!)/(2!6!) x (7!)/(1!6!)

   = 15 x 7 x 13 x 4 x 7 x 7 = 267540

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In the Mediterranean, the Mycenaeans rose to prominence by a mix of military prowess, economic connections, and cultural sway.

Thus, Military Might: The Mycenaeans had a strong military force and were expert warriors. They used sophisticated bronze weapons and chariot warfare as a tactic.

They were able to increase their influence and take control of neighbouring territories thanks to their military might.

Control over Trade Routes: The Mycenaeans had complete control over key trade routes in the Mediterranean, particularly those that extended from the Aegean to the eastern Mediterranean and beyond.

Thus, In the Mediterranean, the Mycenaeans rose to prominence by a mix of military prowess, economic connections, and cultural sway.

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Answer:

76 square feet of wood.

Explanation:

Bethany is building a storage trunk with the following dimensions:

• Length = 5 ft.

• Height = 4 ft.

• Width = 2 ft.

We are to determine how much wood is needed to make the trunk.

The amount of wood that will be needed to make the truck is the surface area of the trunk. The storage trunk is in the shape of a rectangular prism.

The surface area of a rectangular prism is found using the formula below:

Substitute the given dimensions:

Bethany needs 76 square feet of wood to make the trunk.

If Bob only fixes 50 computers, his total loss is $3,750.

The total loss results from the negative difference between the total revenue and the total costs.

The total costs consist of variable and fixed costs.

The result is a loss when the total costs exceed the total revenue.  This result becomes a profit or income when the total revenue exceeds the total costs.

Equipment = $5,000

Premises = $6,000

Advertising = $4,000

Total fixed costs = $15,000

Variable cost per unit = $25

Selling price per unit = $250

Total number of computers fixed = 50

The total variable cost for 50 units = $1,250 (50 x $25)

The total costs (fixed and variable) = $16,250

The sales revenue for 50 units = $12,500 (50 x $250)

Loss = $3,750 ($12,500 - $16,250)

Thus, Bob will incur a total loss of $3,750 if he fixes only 50 computers based on his fixed and variable costs.

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Answer:

m∠1 = 151°

m∠2 = 29°

m∠3 = 151°

Step-by-step explanation:

        We can use knowledge of vertical angles and supplementary angles.

➜ Vertical angles are congruent

➜ Supplementary angles are equal to 180° when added together

Answer:

m∠1 = 151, m∠2 = 29, m∠3 = 151.

Step-by-step explanation:

We know m∠4 is equal to 29. We know m∠4 and m∠2 are equal because they are vertical angles. That means m∠2 is 29. Now, m∠4 and m∠3 equal 180, and m∠2 and m∠1 also equal 180. Since we know m∠4 is 29, you can do 29 + m∠3 = 180. You get m∠3 = 151. Now, m∠1 and m∠3 are also equal because they are vertical angles. That means m∠1 is equal to 151 as well. So your final answers are m∠1 = 151, m∠2 = 29, and m∠3 = 151.

Answer:

The average yearly growth o

Explanation:

Given that the tree grew from 18 ft 35 1/2 feet in 3 1/2 years.

The growth within these years is:

35 1/2 - 18

= 35.5 - 18

= 17.5

Now, this averages:

17.5/3.5 (3.5 is the number of years)

= 5

The average is 5 ft per year

Answer:

a. 0.8 = 0.5 + 0.3

b. 30.9 = 2.7 + 28.2

c. 15.4 = 3.1 + 2.4 + 9.9

d. 17.4 = 15.2 + 1.4 + 0.8

e. 42.5 = 39.2 + 2.5 + 0.8

f. 8 = 4 + 4

g. 35 = 23 + 8 + 4

h. 84 = 53 + 3 + 28

i. 121 = 11 + 17 + 93

j. 35 = 24 + 8 + 3

The total possible choices of password that are available is 21,266,960,000.

The length of the password has to be of 9 characters.

Three of them should be letters, 2 should be symbols from the 11 choices of the symbols and 4 have to be digits.

Any of the following can be repeated in the password,

So, making the combination of 9 characters.

As we know, letters are 26, so, there are 26 choices each for three places.

Also, if 11 symbols are available, then there are 11 choices each are available for the two places and the total number of 10 which are 0 to 9, so, there are 9 choices each for the last four places,

Hence the final combination would be,

= 26 x 26 x 26 x 11 x 11 x 10 x 10 x 10

= 21,266,960,000

Hence the total password available are 21,266,960,000.

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The total area of the figure is 298.17 ft².

For the given question;

Let divide the given the figure in three parts;

The dimensions of the rectangle is;

Length = 26 - 9 = 15 ft

Breadth = 9 ft

Area = length x breadth

Area = 15 x 9

Area = 135 ft²

The dimension of the triangle is-

Base = 9 ft

Height = 15 - 7 = 8 cm

Area = (1/2) base x height

Area = (1/2) x 9 x 8

Area = 36 ft²

The dimension of semi circle is -

Radius = 9 ft

Area = πr²/2

Area = 3.14 x 9² / 2

Area = 127.17 ft²

Total area = rectangle +triangle + semicircle

Total area = 135 + 36 + 127.17

Total area = 298.17 ft²

Thus, the total area of the figure is 298.17 ft².

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2x+32+x = 17

Combine 2x and X to get 3x.

3x+32 = 17

Subtract 32 on both sides.

3x = 17−32

Remains 32 of 17 to obtain −15.

3x = −15

Divide both sides by 3.

x = -15/3

Divide −15 by 3 to get −5.

x = −5

The value of x after solving the given equation 2x + 32 + x = 17, is x = -5, which is the last option.

Given an equation:

2x + 32 + x = 17

It is required to find the value of x after solving or simplifying the equation.

In order to get the value of x, the equation has to be solved in such a way that the terms with the variable have to be placed on one side and the constant terms on the other side.

Consider:

2x + 32 + x = 17

Add x and 2x since they are like terms in variables.

3x + 32 = 17

Subtract 32 from both sides of the equation.

3x = 17 - 32

3x = -15

Divide both sides of the equation by 3.

x = -5

Hence, the value of x is -5.

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The car was driven 105 miles.

What is rent?

An agreement where a fee is paid for the temporary use of a good, service, or property owned by another is known as renting, sometimes known as hiring, or letting.

In the given example the cost function is, c = 15 + 2m

Where, c is the total cost and m is the number of miles car driven.

The total cost was $225.

So, plug c = $225 in the above equation.

225 = 15 + 2m

210 = 2m

   m = 105

Therefore, the car was driven 105 miles.

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Answer:

x = 2.64

Step-by-step explanation:

Do the distributive property first.

0.9(x + 1.4)

0.9(x) + 0.9(1.4)

0.9x + 1.26 - 2.3 + 0.1x = 1.6

Simplify the left side by adding like terms. I'm going rewrite the equation and group the like terms together.

0.9x + 0.1x + 1.26 - 2.3 = 1.6

1x - 1.04 = 1.6

1x is the same as x, so I am going to remove the 1. Solve for x.

x - 1.04 + 1.04 = 1.6 +1.04

x = 2.64

Answer:

-9

Step-by-step explanation:

−6 − 3

= −6 + −3

= -9

Answer:

-9!

Step-by-step explanation:

When you add negatives, it becomes more negative. Think of -6 getting 3 smaller.

Answer:

√105 meters, or about 10.25 meters

Step-by-step explanation:

[tex] {x}^{2} + {4}^{2} = {11}^{2} [/tex]

[tex] {x}^{2} + 16 = 121[/tex]

[tex] {x}^{2} = 105[/tex]

[tex]x = \sqrt{105} = 10.25[/tex]

Answer:

10.246 or sqrt(105)

Step-by-step explanation:

Given,

length of the ladder = 11 m

distance of the foot of the ladder from the base of the wall = 4 m

According to Pythagoras' theorem,

(hypotenuse)^2 = (side1)^2 + (side2)^2

As per the problem,

hypotenuse = 11m

side1 = distance from wall = 4 m

side2 = height reached by the ladder on the wall

that is, (11)^2 = (4)^2 + (side2)^2

              121 = 16 + (side2)^2

               121 - 16 = (side2)^2

                (side2)^2 = 105

                  (side2) = sqrt(105) = 10.246 m

Hence, the ladder can reach up to 10.246 m height on the wall.

The triangles are similar. The smaller is isosceles, so the 3 of them are as well.

Let's Start by finding the hypotenuse of the smaller one:

a² = 2

Part B

The most appropriate choice for linear equation will be given by -

Third option is correct

c = 7.36p  is the required equation for total cost of p pounds of meat

The cost is $58.88

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here,

Price of one pound of meat = $7.36

Cost of p pounds of meat = $7.36p

By the problem,

c = 7.36p

This is the required equation for total cost of p pounds of meat

Putting p = 8

c = [tex]7.36 \times 8\\[/tex]

c = $58.88

Third option is correct

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Answer:

3 1/3  I am assuming that you cannot by 1/3 of an aubergines, so you would need to buy 4.  if you can buy a partial one then it would be 3 1/3

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] = [tex]\frac{a}{10}[/tex]    Set up a proportion and then cross multiply and solve for a

3a = 10  Divide both sides by 3

a = [tex]\frac{10}{3}[/tex] = 3 1/3

Answer: 23 - 19 = 4

Step-by-step explanation:

Answer:

how many does eat cookies left??? what

Step-by-step explanation:

anyway, it should be 4 cookies i guess?

23 - 19 = 4

...unless this is like a trick question with bad grammar

Answer:

26.425

Step-by-step explanation:

Answer:

The answer is 75 degrees

Step-by-step explanation:

Remember that the sum of the three angles of any triangle is 180 degrees.

So, 180=58+47+x

180=105+x

75=x