Describe the shape of the data for German male adults, and explain how you came to that conclusion. Are there any outliers in the data?

Answer:

x = 5

Step-by-step explanation:

Complementary angles are two angles whose sum is 90º

So, if we have two complementary angles 7x and 11x we know that their sum is 90

We are going to write the equation and solve for x:

[tex]7x+11x=90\\18x=90\\x=90/18\\x= 5[/tex]

Therefore, x would be 5. And the angles would be 7(5) = 35º and 11(5) = 55º

Answer: the correct answer would be 8.8 ft/s

Answer:

f(x) = sqrt(x-5) Domain: all real numbers greater or equal to 5 f(x) = 7/(x-8) Domain: all real numbers except 8 f(x) = sqrt(x) Domain: all positive real numbers and 0 f(x) = 8x Domain: all real numbers The domain of a function is the set of all numbers for which that function is valid.

Step-by-step explanation:

Answer:

63 and 59 are correct

Step-by-step explanation:

f(x) = x^2-25

 inverse:

y = x^2-25

x = y^2-25

y = sqrt(5 +25)

 Answer is B

the first one because all the other ones are wrong

Answer:

60

Step-by-step explanation:

Answer:  The hexagon will rotate onto itself at 60°.

Step-by-step explanation:

A hexagon is a regular polygon with six sides) having all its sides and all its angles are equal.

For a regular polygon , Order of rotation of the figure = Number of sides .

i.e.  Order of rotation for hexagon = 6

Let [tex]\theta[/tex] be the angle at which hexagon rotate onto itself, then we have

[tex]\theta=360^{\circ}\ \div6=60^{\circ}[/tex]   [∵One complete rotation= [tex]360^{\circ}[/tex]]

Hence, The hexagon will rotate onto itself at 60°.

The equation of the tangent line to the function y = 4x⁴ at (1, 4) will be y = 16x - 12.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The function is given as,

y = 4x⁴

The slope of the line is given as,

m = y'

m = 16x³

m = 16 (1)³

m = 16

Then the equation of the tangent line is given as,

y = 16x + c

The equation is passing through (1, 4). Then we have

4 = 16 (1) + c

4 = 16 + c

c = - 12

The equation of the tangent line to the function y = 4x⁴ at (1, 4) will be y = 16x - 12.

More about the function link is given below.

https://brainly.com/question/5245372

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The width of the pasture is 210 feet.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that pasture is twice as long as it is wide. its area is 88,200 ft2.

If the width is w and the length is l, then the length is 2w=l.

In addition,

The area of the rectangle = length × Width

l x w=88200

Using the area formula, Plugging 2w in for l, we get ;

2w x w = 88200

88200= 2w².

Now Dividing both sides by 2, we get;

w²=44100

w= √(44100)

w =210.

Learn more about the area;

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Answer:

3 - 5.5 +1.5

Step-by-step explanation:

LEts analyze the given number line

We always start with 0

Arrow goes 3 units to the right, so we put positive 3

from 3 , the arrow ends at -2.5. Arrow goes to the left so we subtract to find the distance. -2.5-3= -5.5

from -2.5 we add 1.5 to reach -1

So the expressio becoems 3 and then subtract 5.5 and then add 1.5

3 - 5.5 +1.5

Answer:

it will be 4

Step-by-step explanation:

Answer:

Bean plant grew faster .

Step-by-step explanation:

As given

Plants A birch tree grew 2.5 inches in five months.

i.e 2.5 inches = 5 months

Now calculate birch tree in one month .

[tex]Birch\ tree\ grew\ in\ one\ month = \frac{2.5}{5}[/tex]

                                                               = 0.5 inches

As given

A bean plant grew 8 inches in 10 months.

i.e 8 inches = 10 months

Now calculate bean plant in one month .

[tex]Bean\ plant\ grew\ in\ one\ month = \frac{8}{10}[/tex]

                                                                = 0.8 inches

As given

It rosebush grew 5 inches in eight months.

i.e 5 inches = 8 months

Now calculate rosebush in one month .

[tex]Bean\ rosebush\ in\ one\ month = \frac{5}{8}[/tex]

                                                                = 0.63 inches (Approx)

Therefore Bean plant grew faster .

The given values of x, the corresponding values of y are:

1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]

2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]

3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]

Let's solve the equation [tex]\(6x = 7 - 4y\)[/tex] for y:

[tex]\[6x = 7 - 4y\][/tex]

First, isolate the term with y:

[tex]\[4y = 7 - 6x\][/tex]

Next, divide both sides by 4 to solve for y:

[tex]\[y = \frac{7 - 6x}{4}\][/tex]

Now, we can find the values of y for each given value of x:

1. For x = -2:

 [tex]\[y = \frac{7 - 6(-2)}{4} = \frac{7 + 12}{4} = \frac{19}{4}\][/tex]

2. For x = -1:

 [tex]\[y = \frac{7 - 6(-1)}{4} = \frac{7 + 6}{4} = \frac{13}{4}\][/tex]

3. For x = 0:

[tex]\[y = \frac{7 - 6(0)}{4} = \frac{7}{4}\][/tex]

Therefore, for the given values of x, the corresponding values of y are:

1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]

2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]

3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]

Complete question:

Solve equation for y. Then find the value of y for each value of x.

6x = 7 - 4y; x = -2, -1, 0

Final answer:

To solve the equation 6x = 7 - 4y for y, subtract 7 from both sides and divide by -4 to isolate y.

Explanation:

To solve the equation 6x = 7 - 4y for y, we need to isolate y on one side of the equation. First, we can move the 7 to the other side by subtracting it from both sides:

6x - 7 = -4y

Next, we can divide both sides by -4 to solve for y:

y = (6x - 7) / -4

The range of the composition is:

R (-∞, 3)

How to find the range?

We have the functions:

u(x) = -2x² + 3

v(x) = 1/x

The composition gives:

(u o v)(x) = -2*v(x)² + 3

(u o v)(x) = -2(1/x)² + 3

Now, as x tends to infinity, the first term tends to zero (because the denominator is to large) then the function has an upper bound at 3.

Then as x decreases, the function decreases, when x tends to zero, the function tends to negative infinity.

So the range is:

R (-∞, 3)