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VikaD [51]
3 years ago
7

How to do this question plz answer me ​

Mathematics
1 answer:
Sati [7]3 years ago
7 0

Answer:

d =  \frac{4 - 3c}{c + 1}

Step-by-step explanation:

To make d the subject of formula, we need to rearrange the equation such that we arrive at d= _____.

c =  \frac{4 - d}{d + 3}

<em>Remove the fraction by multiplying (d +3) on both sides:</em>

c(d + 3) = 4 - d

<em>Expand</em><em>:</em>

<em>cd + 3c = 4 - d</em>

<em>Bring</em><em> </em><em>all</em><em> </em><em>the</em><em> </em><em>d</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em> </em><em>and</em><em> </em><em>move</em><em> </em><em>the</em><em> </em><em>others</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em> </em><em>side</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>equation</em><em>:</em>

cd + d = 4 - 3c

<em>Factorise</em><em> </em><em>d</em><em> </em><em>out</em><em>:</em>

<em>d(c + 1) = 4 - 3c</em>

<em>Divide</em><em> </em><em>by</em><em> </em><em>(</em><em>c</em><em> </em><em>+</em><em>1</em><em>)</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>

<em>d =  \frac{4 - 3c}{c + 1}</em>

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How do u round 14,494 to the nearest thousand
Reil [10]
Look at the digit one number place to the right of the thousands place, the hundreds. In this case it is another 4. Since it is less than 5, the thousands place will stay the same. If it were 5 or greater, the thousands place would go up by one number. 14,494 rounded to the nearest thousand is 14,000
7 0
3 years ago
What is the total perimeter of the pitch and seating area?
natima [27]
1m = 100 cm

so
40 m = 4,000 cm
25 m = 2,500 cm
10 m = 1,000 cm

perimeter of big rectangle = 2(4,000 + 2000) = 12,000 cm
perimeter of small rectangle on the left: 2(2,500 + 800) = 6,600 cm
perimeter of small rectangle on the right: 2(1,000 + 800) = 3,600 cm
perimeter of circle = πd = 3.141593 x 200 = 628.32 cm

total area of the pitch and seating area :
=  12,000 + 6,600 + 3,600 + 628.32 = 22,828.32<span> cm

answer
</span>22,828.32 cm<span>

</span>
4 0
3 years ago
Read 2 more answers
5. A study found that the average time it took a person to find their dream home was 5.9 months. If a sample of
solong [7]

Answer:

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{0.8}{\sqrt{36}} = 0.26

The lower end of the interval is the sample mean subtracted by M. So it is 5.9 - 0.26 = 5.64 months

The upper end of the interval is the sample mean added to M. So it is 5.9 + 0.26 = 6.16 months.

The 95% confidence interval of the mean time it took a person to find their dream home is between 5.64 months and 6.16 months.

4 0
4 years ago
PLEASE HELP<br> how can you simplify 208/1000??
dsp73
The answer is 26/125.
7 0
3 years ago
If an archer shoots an arrow straight upward with an initial velocity of 160
HACTEHA [7]

Answer:

maximum height of the arrow will be 408 m

Step-by-step explanation:

We have given the function of height as h(t)=-16t^2+160t+8

We know that first derivative of height will be velocity

So first derivative of height

\frac{dh}{dt}=-32t+160

v(t)=-32t+160

We know that at maximum height velocity will be zero

-32t+160=0

t = 5 sec

Sp arrow will be at maximum height at t = 5 sec

So height at t = 5 sec will be

h(5)=-16\times 5^2+160\times 5+8=408m

So maximum height of the arrow will be 408 m

5 0
3 years ago
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