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Galina-37 [17]
3 years ago
12

Help pleaseeeeeeeeee

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
5 0

9514 1404 393

Answer:

  47 -6√10

Step-by-step explanation:

As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.

  (a -b)² = a² - 2ab + b²

  (√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²

  = 2 - 6√10 + 3²(5)

  = 47 -6√10

__

<em>Check</em>

  √2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals

  (√2-3√5)² ≈ 28.02633

  47 -6√10 ≈ 28.02633

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h(x) = -3x + 1 g(x) = 4x + 3 Find h(g(x))
siniylev [52]

Answer:

-12x -8

Step-by-step explanation:

Substitute g(x) into h(x) so h(4x + 3) = -3(4x +3) + 1 = -12x - 9 + 1 = -12x -8

8 0
3 years ago
Online jewelry sales have increased steadily over the last 10 years. In 2003, sales were approximately 2 billion dollars, and in
KiRa [710]

Answer:   <em>(i)  The unit rate at which online jewelry sales have been increasing is 1.33 billion dollars per year. </em>

<em>(ii)  The online jewelry sales in 2019 will be 191.7 billion dollars.</em>

Step-by-step explanation:

In 2003, sales were approximately 2 billion dollars and in 2010, they were approximately 14.8 billion dollars.

(i)  If x is the number of years after 2003 and y is the amount of sales....

then the equation will be:   y= ab^x , where a is the initial amount and b is the growth rate.

for 2003,  x=0 and for 2010,  x=7

So, the two points in form of (x, y) will be:   (0,2) and (7,14.8)

Now plugging these two points int the above equation....

2= ab^0\\ \\ a= 2\\ \\ and\\ \\ 14.8=ab^7\\ \\ 14.8=2*b^7\\ \\ b^7=7.4\\ \\b= \sqrt[7]{7.4}=1.3309.... \approx 1.33

Thus, the online jewelry sales have been increasing at a rate of 1.33 billion dollars per year.

(ii)   As we got a=2 and b=1.33, so the equation will be now:  y= 2(1.33)^x

<u>For the year 2019, the value of</u>  x will be: (2019-2003) = 16

So plugging x=16 into the above equation, we will get.....

y=2(1.33)^16\\ \\ y=191.7150... \approx 191.7

<em>(Rounded to the nearest tenth)</em>

Thus, the online jewelry sales in 2019 will be 191.7 billion dollars.


6 0
4 years ago
My brothers stuck on these 2 problems and won’t stop bothering me so can someone help him
lidiya [134]

Answer:

2. b

3. d

Step-by-step explanation:

I checked it  based on the decimals. 5/8 = 0.625, which is B on the numberline in 2.

5/6 is 0.833, which is D on the numberline in 3

7 0
3 years ago
Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 and standard deviation 5
Stels [109]

Answer:

a) 0

b) 0.579 is the probability that chloride concentration is less than 105.

c) 0.32 is the probability that chloride concentration differs from the mean by more than 1 standard deviation.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 104

Standard Deviation, σ = 5

We are given that the distribution of blood chloride concentration is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) Since normal distribution s a continuous distribution, the probability for a particular value is zero. Therefore,

P(x =105) = 0

b) P(chloride concentration is less than 105)

P(x < 105) = P(z < \displaystyle\frac{105-104}{5}) = P(z < 0.2)

Calculating the value from the standard normal table we have,

P(z

c) P(chloride concentration differs from the mean by more than 1 standard deviation)

Since it is a normal distribution, the Empirical rule shows that 68% falls within the first standard deviation, 95% within the first two standard deviations, and 99.7% within the first three standard deviations.

= 1 - P(chloride concentration within the mean by 1 standard deviation)

= 1 - 0.68 = 0.32

3 0
4 years ago
By using shadows, Tatiana wants to find the height of a building. At a certain time of day, her shadow is 2.4 feet long and the
ivanzaharov [21]

9514 1404 393

Answer:

  38 2/3 feet

Step-by-step explanation:

In shadow problems, the usual assumption is that object height and shadow length are proportional.

  height/length = b/16 = 5.8/2.4 . . . . . for building height b

  b = 16(5.8/2.4) = 38 2/3

The building is 38 2/3 feet tall.

4 0
3 years ago
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