<img src="https://tex.z-dn.net/?f=%5Csf%206-2x%2B5%2B4x" id="TexFormula1" title="\sf 6-2x+5+4x" alt="\sf 6-2x+5+4x" align="absmi

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Elza [17]

3 years ago

ddle" class="latex-formula">

Last one! bye!
Thanks!

Mathematics

2 answers:

tekilochka [14]3 years ago

8 0

Step-by-step explanation:

$6 - 2x + 5 + 4x \\ 2x + 11 = 0 \\ 2x = - 11 \\ x = \frac{ - 11}{2} \\ x = - 5.5$

hope helpful <3

wolverine [178]3 years ago

6 0

$\sf 6-2x+5+4x$

$\sf \longmapsto - 2x + 4x + 6 + 5$

$\sf \longmapsto - 2x + 4x + 11$

$\sf \longmapsto2x + 11$

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Hüseyin draws a fox with a scale of 3 units on his graph paper represents 15cm. The fox has an actual height of 80cm. What is th

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Answer:

The height of the fox in Huseyin's drawing is, 16 units

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

As per the statement: Huseyin draws a fox with a scale of 3 units on his graph paper represents 15 cm. The fox has an actual height of 80 cm.

⇒ We are given Scale of 3 units.

On graph paper the length of fox is 15 cm.

The fox has an actual height = 80 cm

let x be the height in units of the fox in Huseyin's drawing.

By definition of proportion;

$\frac{3}{15} = \frac{x}{80}$

by cross multiply we get;

$3 \times 80 = 15x$

Simplify:

240 = 15x

Divide both sides by 15 we get;

x = 16 units.

Therefore, the height of the fox in Huseyin's drawing is, 16 units

6 0

4 years ago

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How many minutes are in 2 days?

Artist 52 [7]

There are 24 hours in a day
1 hour = 60 minutes.
24 hours = 60 x 24 = 1440

Total 48 hours in 2 days
1440 x 2 = 2880
Answer : 2880 minutes.

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4 years ago

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Answer:

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3 years ago

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The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equatio

AnnZ [28]

The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.

The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; $\displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}$

Reasons:

The given parameters are;

The variation of the height of the tip of the hour hand = 9 feet to 10 feet

At t = 0, the time = 12.00 a.m.

Required: The equation that can be used to model the height as a function of time.

Solution:

The general form of the cosine function is presented as follows;

y = a·cos(b·x - c) + d

The amplitude = a

$\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}$

Therefore;

$\displaystyle a = \frac{10 -9}{2} = 0.5$

b = The cycle speed

The period, T, is given as follows;

$\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}$

The period of a block, T = 12 hours

Therefore;

$\displaystyle b = \frac{2 \cdot \pi}{T}$

$\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}$

$\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5$

At t = 0, H = The highest point = 10 ft.

Which gives;

$\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10$

$\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1$

-c = arcos(1) = 0

-c = 0

c = 0

The equation is therefore;

$\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}$

The above equation is the same as; <u>H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5</u>

Learn more about the cosine function here:

brainly.com/question/4458343

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3 years ago

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Answer:

The answer to your question is:

9th term = $\frac{1}{781250}$

Step-by-step explanation:

The factor is 1/5, then:

$\frac{1}{2} , \frac{1}{10} , \frac{1}{50} , \frac{1}{250} , \frac{1}{1250}$

$\frac{1}{6250} , \frac{1}{31250} , \frac{1}{156250}, \frac{1}{781250}$

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4 years ago

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