Find the value of x so that (x, 12) satisfies y = 4x +4.

The number, such that the geometric mean of the number and four times the number is 22, will be 11.

The arithmetic mean of two numbers [a] and [b] is equal to (a + b)/2  and their geometric mean is equal to  [tex]\sqrt{ab}[/tex]

We have the geometric mean of a number and four times the number is 22.

According to the question, we can write -

G.M. = [tex]\sqrt{ab}[/tex]

Assume that the number is [x]. Then the second number will be [4x]. So -

22 = √4x²

22 = √(2x)²

2x = 22

x = 11

Therefore, the number, such that the geometric mean of the number and four times the number is 22, will be 11.

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Answer:

x = 1.02564

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

35 + 0.8x = 43 - 7x

Step 2: Solve for x

Answer:

Error

Step-by-step explanation:

Unfinished question

Answer:

- 13 × k = -13k

good luck, hope this helps :)

Answer:

18: Safe volume: s <= 115. Unsafe: s > 115.

19: 2-a, 1-b, 3-c, 4-d

20a: Justin is incorrect. 12 is a solution. 12 >= 12 is a true statement.

20b: f > 12

Step-by-step explanation:

The geometric sequence is a sequence with a common ratio. The common ratio is the ratio between the succeeding term and the preceding term of a sequence and must be equal to a constant k.

Given a sequence 2, 4, 8, 16... This sequence is geometric in nature because of a constant common ratio of 2.'

Common ratio = 4/2 = 8/4 = 2

Hence a geometric sequence is characterized by its common ratio

Complete question :

A grocer sells mangos for $4 per pound and apples for $3 per pound. The grocer starts with

45 pounds of mangos and 50 pounds of apples each day. The grocer's goal is to make atleast $300 each day. What combinations of mangos and apples that could be sold to meet the goal. List two possible

combinations

Answer:

m = 45 ;a = 40

m = 45 ; a = 45

Step-by-step explanation:

Mangoes, m = $4

Apples, a = $3

Total :

45 pounds of mangoes

50 pounds of apple

4m + 3a ≥ 300

If m = 45

a = 40

4(45) + 3(40)

180 + 120 = 300

If m = 45 ; a = 45

4(45) + 3(45)

180 + 135 = 315

Hence, 2 possible combination :

m = 45 ;a = 40

m = 45 ; a = 45

For all possible solutions :

4m + 3a ≥ 300

Answer:

f=8/5

Step-by-step explanation:

f*2+=f7

2f+8=f*7

2f+8=7f

2f=7f-8

2f-7f=-8

-5f=-8

Answer:

Step-by-step explanation:

70

Answer:

7 hours

So you so 642-425= 217, then you do 217/31= 7

your answer is 7

Answer:

look up

Step-by-step explanation:

Answer:

A2 + B2 = C2, so 4 squared + 19 squared = C2, 16 + 361 = 377. 377's square root is 19.4.

Step-by-step explanation:

The measure of the hypotenuse is 19.4 cm.

Given that, one of the legs of a right triangle measures 4 cm and the other leg measures 19 cm.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Let the measure of the hypotenuse be x.

Using Pythagoras theorem,

x² = 4² + 19²

⇒ x² = 16 + 361

⇒ x² = 377

⇒ x = √377

⇒ x = 19.4 cm

Therefore, the measure of the hypotenuse is 19.4 cm.

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Answer:

Answer : - diagonals of rhombus are perpendicular. According to the property of rhombus. Diagonals of rhombus are perpendicular. In this question the triangle NQM is a right angled triangle and it is clear that it is right angled triangle because he mentioned angle MQN = 90°

Answer:

Whats the question?

Step-by-step explanation:

Answer:

91%

Step-by-step explanation:

Hope I helped:)

Answer:

26.7777778 or 26.78 rounded

Step-by-step explanation:

Answer: use division

Step-by-step explanation:

Answer:

x=21

Step-by-step explanation:

69+90= 159

180-159=21

Answer:

Step-by-step explanation:

E.......................

Answer:

25

Step-by-step explanation:

225 divided by 9 is 25

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

Answer:

The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.

All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.

Answer:

Faces

Step-by-step explanation:

They both have 5 faces each....

Hope it helps!!!

Answer:

17, 18

Step-by-step explanation:

closest perfect square that is lower than 307 is 289

closest perfect square that is greater than 307 is 324

[tex]\sqrt{289} < \sqrt{307} < \sqrt{324}[/tex]

[tex]17<\sqrt{307} <18[/tex]

Answer:

they ate 1/3 and thrte is 2/3 left

Step-by-step explanation:

subtraction

One-third of the pizza will be left

Let the total amount of pizza eaten be "x

Total pizza ate = x/3 + x/3

Total pizza eaten = 2x/3

Amount of pizza left = x - 2x/3

Amount of pizza left = (3x-2x)/3

Amount of pizza left = x/3

Hence one-third of the pizza will be left

Learn more on ratio and proportion here: https://brainly.com/question/21602143

Answer:

1) D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Step-by-step explanation:

Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president

Given that;

P(D) = 0.23

P(R) = 0.64

Conditional P(D | R) =  0.35

1) Are R and D independent events?

we know that two events A & B are independent events if; P(B | A) = P(B)

here, P(D | R) =  0.35 and P(D) = 0.23

so; P(D | R) ≠ P(D)

Therefore D and R are NOT independent events

2) The probability of electing a Republican president and an economic decline in 2020;

we know that;

P(D | R) = P(D ∩ R) / P(R)

we substitute

0.35 = P(D ∩ R) / 0.64

P(D ∩ R) = 0.35 × 0.64

P(D ∩ R)  = 0.224

Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224

3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?

P(R | D) = P(D ∩ R) / P(D)

we substitute

P(R | D) = 0.224 / 0.23

P(R | D) = 0.9739

Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739

4) the probability of economic decline or a Republican president elected in 2020 or both

P(D ∪ R) = P(D) + P(R) - P(D ∩ R)

we subtitute

P(D ∪ R) = 0.23 + 0.64 - 0.224

P(D ∪ R)  = 0.646

Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646

Answer:

76 cm cubed

Step-by-step explanation:

2 x 2 x 4 = 16 cm cubed

3 x 4 x 5 = 60 cm cubed