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4 years ago

What is the solution for x in the equation -4+5x-7=10+3x-2x in a fraction

Mathematics

1 answer:

Alex4 years ago

5 0

Answer:

x = 21/4

Step-by-step explanation:

re-arrange the equation

-4+5x-7-3x = 10-2x (move 3x to the other side)

-4+5x-7-3x+2x = 10 (move 2x to the other side)

5x-7-3x+2x = 10+4 (move 4 to the other side)

5x-3x+2x = 10+4+7 (move 7 to the other side)

4x = 21 (add up both sides)

x = 21/4 (divide both sides by 4

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What is tooth plapue

Illusion [34]

Answer:

It is a cavity.

Step-by-step explanation:

If it is not treated well you may feel pain in your gum.

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3 years ago

What happens to the volume of a rectangular prism when its length is tripled?

earnstyle [38]

The volume of a rectangular prism is represented by the following equation:

$V=wlh$

where w is the width , l is the length, and h is the height

Replace $l$ with $3l$ since the length is tripled

$V_0=w(3l)h$

$=3(wlh)$

From this, we see that this new volume is 3x larger than the original. Thus, the volume is tripled when its length is tripled.

Let me know if you need any clarifications, thanks!

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3 years ago

Suppose a ball is thrown upward to a height of h 0 meters. After each bounce, the ball rebounds to a fraction r of its previous

gladu [14]

Answer:

A)1st term:45

2nd term:48.75

3rd term:49.6875

4th term:49.921875

B) Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

Step-by-step explanation:

We are given;

h₀ = Initial height of the ball = 30

r = Rebound fraction = 0.25

a) The arithmetic sequence of bouncing balls is given by the following;

Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)

The first term of the sequence is;

S₁ = h₀ + 2h₀r¹

S₁ = 30 + (2 × 30 × 0.25)

S₁ = 45

The second term of the sequence is;

S₂ = h₀ + 2h₀(r¹+r²)

S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75

The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875

B) The general expression for the nth term of the sequence is;

Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

4 0

3 years ago

A researcher is testing a hypothesis of a single mean. The critical z value for a = .05 and a two‑tailed test is +1.96. The obse

grandymaker [24]

Answer:

The decision made by the researcher based on this information is to reject the null hypothesis.

Step-by-step explanation:

Two-tailed hypothesis test:

Critical value: $z_c$

Test statistic: z

If $|z| < |z_c|$ , we do not reject the null hypothesis.

If $|z| > |z_c|$ , we reject the null hypothesis.

In this question:

$z_c = 1.96, z = -2.05, |z| = 2.05$

Since $|z| > |z_c|$ , we reject the null hypothesis.

The decision made by the researcher based on this information is to reject the null hypothesis.

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3 years ago

A circle has a circumference of 9π what is the diameter?

mixas84 [53]

C=πd where C=circumference, π=the constant pi, and d=diamter

d=C/π and since we are told that C=9π

d=9π/π

d=9

7 0

3 years ago