What is the size of the augmented matrix for the linear system?

The predicted height if the man with shoe-size 10 is 427.09 cm.

We get the answers using the following steps.

a. The equation of the line of best fit is: y = 42x - 19.81

b. The slope, 42, represents the rate of change of the height variable with respect to the shoe size variable. It means that for every 1-unit increase in shoe size, we can expect a 42-unit increase in height.

c. The y-intercept, -19.81, is the point where the line of best fit crosses the y-axis. It represents the height when the shoe size is 0. It means that if a man has 0 shoe size, his height would be -19.81, both of which is impossible.

d. To predict the height of a man with a shoe size of 10.5, we substitute x = 10.5 into the equation of the line of best fit:

y = 42x - 19.81

y = 42(10.5) - 19.81

y = 447.9 - 19.81

y = 427.09

So, a man with a shoe size of 10.5 would have a predicted height of 427.09 cm

It's worth noting that this is just a predicted value and it might not be accurate. The line of best fit is calculated based on the given data set, it might not be accurate for other data points.

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The provided expression can be simplified in the form 2y4/x4 option ( B) Using the integer exponent characteristics,  = [x[tex]^\frac{1}{8}[/tex] . y⁸]  is the right answer.

In mathematics, integer exponents are exponents that fall under the integer category. It's possible for the number to be either positive or undesirable. The positive integer exponents in this example dictate how many times that base number must be multiplied by itself.

It's possible for the number to be either positive or undesirable. The positive integer exponents in this example dictate how many instances the base number must be multiplied by itself.

= [x[tex]^\frac{1}{4}[/tex] . y¹⁶][tex]^\frac{1}{2}[/tex]

= [x[tex]^\frac{1}{8}[/tex] . y⁸]

The provided expression can be simplified in the form 2y4/x4 option ( B) Using the integer exponent characteristics,  = [x[tex]^\frac{1}{8}[/tex] . y⁸]  is the right answer.

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Answer:

106.2

Step-by-step explanation:

A 18% increase of a number is the same as multiplying it by 1.18.

If we multiply 90 by 1.18 we get:

90 * 1.18

106.2

The number of hours that the team trians per week is 17 hours.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. The number of hours will be:

( 1 1/4 + 1/2 + 2 1/2) × 4

= 4.25 × 4

= 17 hours.

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Answer:

8/10

Step-by-step explanation:

12 - 4       8

-------- =  -----

7 - (-3)     10

Answer:

5

Step-by-step explanation:

y2 - y1 / x2 - x1

12 - (-3) / 7 -4

15 / 3

5

9514 1404 393

Answer:

  D  2.14

Step-by-step explanation:

The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.

  Sin = Opposite/Hypotenuse

  sin(34°) = AC/AB   ⇒   AB = AC/sin(34°)

  sin(53°) = AC/AD   ⇒   AD = AC/sin(53°)

The desired difference in lengths is ...

  AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446

The difference in lengths is about 2.14 units.

Answer:

8 sides

Step-by-step explanation:

(n-2)×180=1080

180n-360=1080

180n=1080+360

180n=1440

n=1440/180

n=8 sides

it's an octagon

Answer:

It has 8 sides

Step-by-step explanation:

This is because the formula is 180(n-2) where n is the amount of sides. An octagon has 8 sides so the sum of the angles is 180(8-2)=180(6)=180×6=1080 degrees

Hope that helps :)

The answers to all the subparts are shown:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

In a fraction, the number above the line is the numerator.

For instance, the numerator of the fraction 3/5 is 3.

A fraction's numerator displays the number of pieces that make up the whole while the denominator, or a number of equal parts, is displayed below the line.

So, we have the equation:

2x² + x/2x - 2 + x - 4/ 2x - 2

Now, answering questions taking the above-given equation into consideration:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

(3) We complete the square, but we can also use the straightforward factoring approach.

(4)  We eliminate or simply cancel the factors in the numerator that are also present in the denominator to simplify the sum.

Therefore, the answer to all the subparts are shown:

(1) The numerator is simply added. The denominator is copied.

(2) Yes, it has; yet, we include them since that is what needs to be done.

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Answer:

The null hypothesis is [tex]H_0: \mu = 14[/tex]

The alternate hypothesis is [tex]H_a: \mu < 14[/tex]

The test statistic is t = -1.95.

The p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

Step-by-step explanation:

Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours.

At the null hypothesis, we test if the mean is 14 hours, that is:

[tex]H_0: \mu = 14[/tex]

At the alternate hypothesis, we test if the mean is less than 14 hours, that is:

[tex]H_a: \mu < 14[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

14 is tested at the null hypothesis:

This means that [tex]\mu = 14[/tex]

X = 13.6 hours, s = 1.3 hours. Sample of 40:

In addition to the values of X and s given, we have that [tex]n = 40[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{13.6 - 14}{\frac{1.3}{\sqrt{40}}}[/tex]

[tex]t = -1.95[/tex]

The test statistic is t = -1.95.

P-value:

The p-value of the test is the probability of finding a sample mean lower than 13.6, which is a left tailed test, with t = -1.95 and 40 - 1 = 39 degrees of freedom.

Using a calculator, the p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

Answer:

number 3

Step-by-step explanation:

it helped us try to learn hieroglyphics

Answer:

first function

Step-by-step explanation:

there is a common difference between consecutive terms , that is

13 - 10 = 16 - 13 = 19 - 16 = 22 - 19 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 10 and d = 3 , then

[tex]a_{n}[/tex] = 10 + 3(n - 1) = 10 + 3n - 3 = 7 + 3n

Answer:

48 cm

Step-by-step explanation:

Answer:48 cm

Step-by-step explanation:

a^2+b^2=c^2

a^2+16^2=20^2

a^2+256=400

a^2= 144

a = 12

12+16+20=48

Answer:

50 pages per hour

Step-by-step explanation:

The requried derivative of the given function is [tex]F'(x) = 2xe^{x^{14}} - e^{x^7}[/tex].

The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol

here,
Given expression,
[tex]F(x) = \int\limits^{x^2}_x {e^{t^7}} \, dx[/tex]

Following the Leibniz rule
[tex]F'(x) = \frac{d}{dx}[ \int\limits^{x^2}_x {e^{t^7}} \, dx]\\F'(x) = \int\limits^{x^2}_x \delta/\delta x (e^{t^7}) + (e^{(x^2)^7}) d/dx (x^2) - e^{x^7}d/dx [x] \\F'(x) = 0 + 2xe^{x^{14}} - e^{x^7}\\F'(x) = 2xe^{x^{14}} - e^{x^7}[/tex]

Thus, the requried derivative of the given function is [tex]F'(x) = 2xe^{x^{14}} - e^{x^7}[/tex].

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Answer:

I would go with D, 8.

Step-by-step explanation:

Tossing a coin, but not saying heads or tails is accepting both (2 outcome branches)

There are 4 consonants in ALGEBRA (each of the two branches above have 4 outcomes that match)

2 x 4 = 8

I don't like how the question is written, because the "total number of outcomes" usually includes the ones you don't want, which would be 14. But since that's not an option, I would chose D.

Answer:

The central angle of a circle is measured in either degrees or radians. It is measured with the help of length of the arc and length of the radius of the circle. The formula to measure central angle (in radians) = (Length of the arc)/(Length of the radius).

Step-by-step explanation:

Answer:14

Step-by-step explanation:You can use distance formula to find the length of each side, and then add them together to approximate the perimeter.

Answer:

B- 200

Step-by-step explanation:

ye ye

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

Pentagons are two-dimensional polygons having five sides and fifth angles. When we mix the Greek terms "penta" and "gon," which mean "five" and "angles," respectively, we have the word "pentagon."

Here,

we know that a pentagonal prism has five rectangular sides in addition to two pentagonal bases at the top and bottom.

Pentagonal prisms are pentagon-shaped if we look at them from the bottom.

When viewed from the side, a pentagonal prism would have a rectangular shape.

If we were to look at the pentagonal prism from the front, it would appear rectangular.

Therefore , the solution of the given problem of pentagonal comes out to be Nadia has created a pentagonal prism as a result.

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Answer:

Sure mate, n is equal to 27

Step-by-step explanation:

side ab is similar side pq. This is given.

12/4=3 therefore your  scale factor from small to large is 3

side cb is similar to rq. This is given.

the length of cb is equal to 9 multiplying this by 3 will give you the length of line segment rq. and therefore the value of N.

9*3=27

Answer:

4[tex]q^{3}[/tex]( q³ + 2)

Step-by-step explanation:

4[tex]q^{6}[/tex] + 8q³ ← factor out 4q³ from each term

= 4q³ (q³ + 2)

Answer:

4q^3(q^3 + 2)

Step-by-step explanation:

The GCF of the exponents is 3, and the GCF of the bases is 4q. So divide both numbers by 4q ^ 3 and get

4q ^ 6 / 4q ^ 3 = q ^ 3

8q ^ 3 / 4q ^ 3 = 2

so you get

4q^3 (q ^ 3 + 2)

Answer:

It's neither:

x =√ 9.000 = 3.00000 or :

x =√ 9.000 = -3.00000 or :

x =√ 8.000 = 2.82843 or :

x =√ 8.000 = -2.82843

Four solutions

Answer:

x^4 - 17x^2 + 72 = (x^2 - 9)(x^2 - 8)

Step-by-step explanation:

First, we need to find two numbers that multiply to give us 72 and whose sum is -17. We can see that 8 and 9 multiply to give us 72, and their sum is 8 + 9 = 17. Since we want the sum to be negative, we need to change one of the signs. So we write -(8 + 9) = -17.

Next, we write the expression as the product of two binomials. We factor out the common factor x^2 from the first two terms: x^4 - 17x^2 + 72 = x^2(x^2 - 17) + 72

Now, we complete the square in the first binomial. To do this, we need to add and subtract (17/2)^2 = (8.5)^2 = 72.25 inside the bracket:

x^2(x^2 - 17) + 72 = x^2(x^2 - 17 + 72.25 - 72.25) + 72 = x^2(x^2 - 17 + 72.25) - 72.25 + 72

Now we can rewrite the square of a binomial :

x^2(x^2 - 17 + 72.25) = x^2((x-8.5)^2)

Finally, we can combine the two binomials

x^2((x-8.5)^2) + 72 = (x^2(x-8.5)^2) + 8(9)

So the expression x^4 - 17x^2 + 72 factors completely as (x^2 - 9)(x^2 - 8)

Hope this helps!

Answer:

11

Step-by-step explanation:

All you have to do is plug in a. In this case, a=3.

21/a+4

21/(3)+4

21/3+4

7+4

11

If this helps please mark as brainliest

Answer:

11

Step-by-step explanation:

Follow the order of operations, PEMDAS.

First, divide, then add. Plug in 3 for a in the given expression:

21/(3) + 4

Divide, then add:

(21/3) + 4

7 + 4 = 11

11 is your answer.

~

Answer:

hypotenuse,adjacent and opposite

For her research, a geneticist has to raise a stock of fruit flies. She presently has 200 fruit flies in stock;

The mathematical function she may use to calculate is given as

f(n)=log1.38(n/200)

Which function could she use to calculate, the number of days required for her stock to grow to n fruit flies?

Generally, the equation for the final value is mathematically given as

A=Ao(1+u)^t

Therefore

n=200(1+0.38)*t

log(1.38^t)=log(n/200)

t=log1.38(n/200)

In conclusion, The function she could use to calculate is

f(n)=log1.38(n/200)

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Answer:

I think its C

Step-by-step explanation:

Answer:

reducing 9.35  to  19.44  is rounded to 19.4  

Step-by-step explanation:

9.35  to  19.44  is rounded to 19.4  

19.35  = 19.4

19.36  = 19.4

19.37 = 19.4

19.38 = 19.4

19.39 = 19.4

19.40 = 19.4

19.41  = 19.4

19.42 = 19.4

19.43 = 19.4

19.44 = 19.4

Hence Lower bound of   of the rectangle  = 19.35 mm

Answer:

[tex]here \: is \: your \: solution... \\ \\ radius \: of \: circle = 35 \: cm \\ \\ perimeter \:of \: circle = \pi \: r {}^{2} \\ \\ perimeter \: of \: circle = (22 \div 7)35 \times 35 \\ \\ perimeter \: of \: circle = 3846.5 \: cm \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}[/tex]

Answer:

Index or vertex are 77 so context and factors are already divided each 5..so i think radio and centimeter are 45/95 take ADF from fraction and multiplyit!! as a exactly answer!! and perimeter are revolved!!

Step-by-step explanation:

HOPE IT HELPS!!