Which solution is correct? Be sure to check for extraneous solutions.
2/x / 1/4 = 1/x
a) x=2
b)no solution
c)x=-1
d)x=-4

Answer:

He is 20 at oldest, or [tex]x\leq 20[/tex]

Step-by-step explanation:

The first step in finding a possible age is:

Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.

This means Joe is younger than or 20 years old.

Answer:

I think it's 4

Step-by-step explanation:

Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

Answer:

slope=y2-y1/x2-x1

=-5+5/7-2

=0/5

=0

Step-by-step explanation:

Answer:

C) this is the false statement

Step-by-step explanation:

data set in list form:

35, 42, 45, 55, 65, 65, 68, 76, 85

Range: 85-35 = 50

Median: 65

Mean: 536/9 = 59.5

Mode:  65

The statement that is not true about this data set is C. The mean is 65 people.

This Stem-and-Leaf Plot shows the number of people who attended a local nine-day carnival.

The data set in list form:

35, 42, 45, 55, 65, 65, 68, 76, 85

Mean is the ratio of sum of the observations to the total number of observations.

Mean: 536/9 = 59.5

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

Median: 65

Range = Maximum value of the data set - Minimum value of the dataset

Range: 85-35 = 50

Mode is the number in given data that occurs frequently.

Mode:  65

Learn more about skewed distribution here:

https://brainly.com/question/13111221

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Answer:

Its right skewed

→ √20 + √45

→ 2√5 + 3√5

→ (2 + 3)√5

→ 5√5

Therefore, option A is correct.

Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.

Define combinations?

In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.

To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.

Multiplying the number of choices at each step, we get:

2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.

Therefore, there are 3 possible dinner combinations for Leila.

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Answer:

C) The fossil is between 10 million and 50 million years old.

Step-by-step explanation:

Since Layer B is located between Layer A and C, option C is the only reasonable answer because Layer A is 50 million years old and Layer C is 10 million years old.

Answer:

The circumfrence is 75.36

Step-by-step explanation:

I hope this helps

Answer:

(y - 3 )² = 8 ( x - 4 )

The given vertex of Parabola is ( 4 , 3)

And Directrix is X = 6

The equation of parabola is

( y - k )² = - 4 ( P) ( x - h )

Now  p = 4 - x = 4 - 6 = - 2

And given value of ( k , h) = ( 4 , 3)

Or ( y - 3 )² = - 4 ( - 2) ( x - 4 )

Or,  ( y - 3 )² = 8 ( x - 4 )

Hence The equation of parabola with directrix x = 6 And

vertex ( 4 , 3 ) is  ( y - 3 )² = 8 ( x - 4 )     Answer

The answer  is (y - 3 )² = 8 ( x - 4 ).

The given vertex of Parabola is ( 4 , 3)

And Directrix is X = 6

The equation of a parabola is :

⇒ [tex]( y - k )^{2} = - 4 ( P) ( x - h )[/tex]

Now  p = 4 - x = 4 - 6 = - 2,

And given value of ( k , h) = ( 4 , 3)

Or [tex]( y - 3 )^{2} = - 4 ( - 2) ( x - 4 )[/tex]

Or, [tex]( y - 3 )^{2} = 8 ( x - 4 )[/tex]

Hence, The equation of a parabola with directrix x = 6 and

vertex ( 4 , 3 ) is  ( y - 3 )² = 8 ( x - 4 )

Learn more about the equation of a parabola here: brainly.com/question/4061870

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Answer:

2

Step-by-step explanation:

Answer:

Probability [chosen code starts with M and ends with E] = 0.05

Step-by-step explanation:

Given:

Total alphabet = A, F, E, R, and M

Creating name without repeat

Find:

Probability [chosen code starts with M and ends with E]

Computation:

Probability Name start with M = 1 / 5

Probability Name start with E = 1 / (5-1)

Probability Name start with E = 1 / 4

Probability [chosen code starts with M and ends with E] = Probability Name start with M x Probability Name start with E

Probability [chosen code starts with M and ends with E] = (1/5)(1/4)

Probability [chosen code starts with M and ends with E] = 1 / 20

Probability [chosen code starts with M and ends with E] = 0.05

Answer: 12x^6+104x^5-319x^4-2890x^3+4661x^2+14000x-19600 sorry I don't have enough time to explain I got to go hope that helps tell me if I was right or not bye!

Step-by-step explanation:

Answer:

20 is the answer :))))

20

Answer:

C

Step-by-step explanation:

20 ÷ 5 = 4

24 ÷ 6 = 4

28 ÷ 7 = 4

32 ÷ 8 = 4

So the correct answer is C

Answer:

86

Step-by-step explanation:

Considering that it is a triangle ABC which means AB = AC + BC AB = 48 + 38 = 86

 I think that's it I hope it will help you

Answer:

1 square and 4 triangles

Step-by-step explanation:

Answer:

The answer is (A) or 1 square and 4 triangles .

Step-by-step explanation:

Looking at a picture of a square pyramid would help to answer this question. (Btw sorry if im late) Stay safe<3 .

Can you please give attachments? Thank you :)

Answer:

a) 36yards

Step-by-step explanation:

I just took the test

Answer:

(7x + 14)° = 84°

(15x - 4)° = 146°

Step-by-step explanation:

62° + (7x + 14)° = (15x - 4)°

62° +7x + 14 = 15x - 4

15x - 7x = 62 + 14 + 4

8x = 80

x = 10

Therefore, exterior angle (15x - 4)° = 146°

                interior angle (7x + 14)° = 84°

Given:

The equation is:

[tex]y=-x+4[/tex]

To find:

The graph of the line that contains ordered pairs that are solutions of the given equation.

Solution:

We need to find the graph of the given equation.

We have,

[tex]y=-x+4[/tex]

At [tex]x=0[/tex], we get

[tex]y=-0+4[/tex]

[tex]y=4[/tex]

So, the x-intercept of the given equation is at point (0,4).

At [tex]y=0[/tex], we get

[tex]0=-x+4[/tex]

[tex]x=4[/tex]

So, the y-intercept of the given equation is at point (4,0).

From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).

Therefore, the correct option is C.

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 =opposite /hypotenuse

1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)

24[tex]\sqrt{2}[/tex]=k

Given :

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.

To Find :

How many mugs did Jack make if he had 28.88 lbs of clay left over.

Solution :

Clay required to make 1 mug, r = 0.72 lbs.

Amount of clay left after making sculpture is, T = 28.88 lbs.

Now, number of clay mug Jack can make is :

[tex]n = \dfrac{28.88}{0.72}\\\\n= 40.11[/tex]

Since, number of mug cannot be in decimal, so we take the floor value.

Therefore, number of mug that can be prepared is 40 .

Answer:

4/3π(0.973r³)

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Given the radius of dodge ball rd = r

radius of tennis ball rt = 0.3r

Taking their difference

Volume difference  = 4/3πrd³ - 4/3πrt³

Volume difference  = 4/3π(r)³ - 4/3π(0.3r)³

Volume difference  = 4/3π(r³ - 0.027r³)

Volume difference = 4/3π(0.973r³)

Hence the differmce in volume is  4/3π(0.973r³)

Answer:

d) f(n) = 4 . 3^(n-1)

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