At which angle will the hexagon rotate so that it maps onto itself ?

Answer:

option 1

Step-by-step explanation:

Given (x, y ) lies on the graph of f(x) , then the corresponding point on the graph of its inverse is (y, x ) , so

If point (- 7, 5 ) lies on the graph of f(x) , then

(5, - 7 ) lies on the graph of its inverse

Answer:

Step-by-step explanation:

266 divided by 7 is 38 laps a day

Answer:

Because 8 hours to drain 80% would mean it takes 10 hours to completely drain the pool leaving the 2 hours to drain.

Step-by-step explanation:

Using a system of equation, the amount in pounds of chocolate required is 4

Let :

Hence, we can create an equation thus :

0.45c + 6(1) = 0.78(6 + c)

0.45c + 6 = 4.68 + 0.78c

Collect like terms

6 - 4.68 = 0.78c - 0.45c

1.32 = 0.33c

Divide both sides by 0.33

c = 1.32 / 0.33

c = 4

Hence, 4 pounds of chocolate is required.

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Answer: Use SoupCalculator I have the answer I just dont want you to get it wrong

96 = 2 × 2 × 2 × 2 × 2 × 3 = 25 × 31, where 2 and 3 are the prime numbers. brainliest me pls

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thanks for the points

Answer:  2^5 · 3

Step-by-step explanation: Prime Factorization refers to finding which prime numbers multiply together to form the original number. The prime factors of 96 thus obtained are written as 96 = 2 × 2 × 2 × 2 × 2 ×

Answer:

please write the q in a straiet way

Step-by-step explanation:

i cant understand

Answer:

D. The graphs are the same shape but have different y-intercepts.

Step-by-step explanation:

Answer:

Some of the graph's coordinates are:

(-2, 1/2)

(-1, 1)

(0, 2)

(1, 4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) (72 + 78 + 80 + 85 + 85 + 92 + 96) / 7 = 588 / 7 = 84  mean

b) (72 + 78 + 80 + 85 + 85 + 92 + 96)                         85  median

     1       2      3      4       3       2     1

c) (72 + 78 + 80 + 85 + 85 + 92 + 96)                          85 mode

    1        1       1           2           1       1

d) the sum of the difference of median and scores is greater below the median than it is above the median

e)  (588 + 100) / (7 + 1)    =    688/8     =                      86

Answers:

========================================================

Explanation:

1)

For any vertical line, the slope is always undefined. Recall that slope = rise/run. For a vertical line, the run is 0 because there is no left or right movement. This leads to a division by zero error. The vertical line is also parallel to the y axis, meaning that there isn't a y intercept whenever the line isn't directly on top of the y axis.

The equation of this vertical line is x = 3 as all points on this line have the same x coordinate of 3.

-----------------------

2)

We can use the slope formula for the points [tex](x_1,y_1) = (-1,-4) \ \text{ and } \ (x_2,y_2) = (3,4)[/tex]

So,

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-4)}{3-(-1)}\\\\m = \frac{4+4}{3+1}\\\\m = \frac{8}{4}\\\\m = 2\\\\[/tex]

The slope is 2.

The y intercept is -2 as this is the location where the diagonal line crosses the y axis.

The equation of this line is y = 2x-2.

-----------------------

3)

Same idea as problem 2.

[tex](x_1,y_1) = (-2,3)\\\\(x_2,y_2) = (3,-2)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-2-3}{3-(-2)}\\\\m = \frac{-2-3}{3+2}\\\\m = \frac{-5}{5}\\\\m = -1\\\\[/tex]

The slope is -1.

The y intercept is 1 because the line cuts through 1 on the y axis.

The equation is y = -1x+1 which is the same as y = -x+1.

-----------------------

4)

Pick any two points from the table. Each column represents a different (x,y) ordered pair point. Those two points selected are then plugged into the slope formula. I'll pick the first two columns.

[tex](x_1,y_1) = (1,-2)\\\\(x_2,y_2) = (2,-2)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-2-(-2)}{2-1}\\\\m = \frac{-2+2}{2-1}\\\\m = \frac{0}{1}\\\\m = 0\\\\[/tex]

Notice how the y coordinates are the same, which leads to a difference of 0 up top and ultimately the slope itself is also 0. We have a horizontal flat line here. All horizontal lines have a slope of 0.

The y intercept is -2 because all y values for this function are the same.

The equation is y = 0x-2 which is the same as y = -2.

-----------------------

5)

Again I'll pick the first two columns to plug into the slope formula, but you can pick any two columns you prefer.

[tex](x_1,y_1) = (-3,11)\\\\(x_2,y_2) = (-1,3)\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{3-11}{-1-(-3)}\\\\m = \frac{3-11}{-1+3}\\\\m = \frac{-8}{2}\\\\m = -4\\\\[/tex]

The slope is -4.

Use this slope value, along with any column from the table to form the (x,y) point, to plug into the slope intercept form below. I'll use the first column

y = mx+b

11 = -4*(-3)+b

11 = 12+b

11-12 = b

-1 = b

b = -1

The y intercept is -1.

The equation is y = -4x-1.

Answer:

slope is 1

Step-by-step explanation:

y2-y1/x2-x1 is 1/1 so the answer is 1

Answer:

B. y + 7 = -6/5 (x+3)

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula  y − y 1 = m ( x − x 1 ) .

Slope-intercept form:  y = − 6 /5 x − 53 /5

Point-slope form:  y + 7 = − 6 /5 ⋅ ( x + 3 )

Step-by-step explanation:

Cash Price = $442

installments of $20 for 24 months = $480

in the end, he would be paying $38 dollars more.

Answer:

29. b. 20

30. c. any real numbers

Step-by-step explanation:

I used a calculator let me know if im incorrect

Answer:

d

Step-by-step explanation:

because you flip the numerator and denominator so the you'd get 8 4/1

Answer:

I thought it would be A

Step-by-step explanation:

because if you make 8 1/4 an improper fraction, it becomes 33/4.

the reciprocal of 33/4 is 4/33

Answer:

the answer would be 4

Step-by-step explanation:

.16x25

Answer:

$3.10

Step-by-step explanation:

Money earned by mowing 5 lawns (income) = $4.70 x 5 = $23.50

Cost of filling 3 tanks (expenditure) = $6.80 x 3 = $20.40

Profit = income - expenditure

         = $23.50 -  $20.40

        = $3.10

Answer:

74%

Step-by-step explanation:

Ive done this before

Answer:

She will spend 2.66 dollars

Step-by-step explanation:

Answer:

she would spend $7.52

Step-by-step explanation:

Answer:

305

Step-by-step explanation:

sorry!

9514 1404 393

Answer:

  a. reflection across line l

  b. see attached

  c. no

Step-by-step explanation:

The easiest transformation to put figure H' back where figure H is will be "reflection across line l". A reflection back across the same line of reflection puts the figure in its original location.

__

The attached figure shows the requested translation and labeling. The dim dotted figure is the original translation of H along vector EF. The reflection of that across line l is marked H''' as required.

__

No, figures H'' and H''' are not in the same location. One only needs to look at the diagram to see this.

In general the order of translation and reflection makes a difference. This means reflection of H to H', then translation to H'' will have a different result than translation of H to H(shadow), then reflection to H'''.

Answer:

-9

Step-by-step explanation:

The slope of the the solving equation is triple the slope of the given equation. Therefore, the y coefficient must also be triple of the other y coefficient.

Answer:

8+h3-4

Step-by-step explanation:

10(h+2)−2h when h = 9.

The relation between the expression at h = 9 will be;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expressions are,

⇒ 7 + h² - 5

⇒ 10 (h + 2) - 2h

Now,

Solve the expression for h = 9 and find the relation between them as;

Since, The expressions are,

⇒ 7 + h² - 5    ...(i)

⇒ 10 (h + 2) - 2h       ...(ii)

Substitute h = 9 in (i), we get;

⇒ 7 + h² - 5 = 7 + 9² - 5

                  = 7 + 81 - 5

                  = 83

And, Substitute h = 9 in (ii), we get;

⇒ 10 (h + 2) - 2h = 10 (9 + 2) - 2 x 9

                         = 10 x 11 - 18

                         = 110 - 18

                         = 92

Thus, We get;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

Therefore, The relation between the expression at h = 9 will be;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

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Answer: B should be the answer

hope it helps :]

Answer:

Step-by-step explanation:

Cup of coffee has milk content:

The mixture after adding milk has:

Percentage of milk in the mixture:

If you project S onto the (x,y)-plane, it casts a "shadow" corresponding to the trapezoidal region

T = {(x,y) : 0 ≤ x ≤ 10 - y and -4 ≤ y ≤ 4}

Let z = f(x, y) = √(16 - y²) and z = g(x, y) = -√(16 - y²), each referring to one half of the cylinder to either side of the plane z = 0.

The surface element for the "positive" half is

dS = √(1 + (∂f/∂x)² + (∂f/dy)²) dx dy

dS = √(1 + 0 + 4y²/(16 - y²)) dx dy

dS = √((16 + 3y²)/(16 - y²)) dx dy

The the surface integral along this half is

[tex]\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16-y^2} \sqrt{\frac{16+3y^2}{16-y^2}} \, dx \, dy[/tex]

[tex]\displaystyle \iint_T xz \,dS = \int_{-4}^4 \int_0^{10-y} x \sqrt{16+3y^2}\, dx \, dy[/tex]

[tex]\displaystyle \iint_T xz \,dS = \frac12 \int_{-4}^4 (10-y)^2 \sqrt{16+3y^2} \, dy[/tex]

[tex]\displaystyle \iint_T xz \,dS = 416\pi[/tex]

You'll find that the integral over the "negative" half has the same value, but multiplied by -1. Then the overall surface integral is 0.

Answer:

18%

Step-by-step explanation:

percentaje:

%= [tex](\frac{8260-7000}{7000}) (100)=(\frac{1260}{7000} )(100)=(0.18)(100)=18[/tex]

I hope this help you

Answer:

b=-5, m= - 3/-2

Step-by-step explanation:

Slope equation is y=mx+b. Slope is finding the rise(vertical change) over run(horizontal change). In this case, -3 is our negative rise and 2 is our run. Put that into fraction form, we get negative 3/2. In the slope equation, b represents the y-intercept(where the line touches the y-axis). In this case, it is -5. Hope this helps you!

The question is an illustration of unit conversion

10 hands is equivalent to 6.5 heads

The given parameters are:

[tex]\mathbf{6\ hands = 2\ feet}[/tex]

[tex]\mathbf{3\ feet= 7\ arms}[/tex]

[tex]\mathbf{3\ arms= 2.5\ heads}[/tex]

Divide both sides of [tex]\mathbf{6\ hands = 2\ feet}[/tex] by 2

[tex]\mathbf{3\ hands = 1\ feet}[/tex]

Multiply both sides by 3

[tex]\mathbf{3 \times 3\ hands = 3 \times 1\ feet}[/tex]

[tex]\mathbf{9\ hands = 3\ feet}[/tex]

Recall that:

[tex]\mathbf{3\ feet= 7\ arms}[/tex]

Substitute 7 arms for 3 feet

[tex]\mathbf{9\ hands = 7\ arms}[/tex]

Divide both sides by 7

[tex]\mathbf{\frac{9\ hands}{7} = \frac{7\ arms}{7}}[/tex]

[tex]\mathbf{\frac{9\ hands}{7} = 1\ arm}[/tex]

Multiply both sides by 3

[tex]\mathbf{\frac{9\ hands}{7} \times 3= 1\ arm \times 3}[/tex]

[tex]\mathbf{\frac{27\ hands}{7}= 3\ arms}[/tex]

Recall that: [tex]\mathbf{3\ arms= 2.5\ heads}[/tex]

So, we have:

[tex]\mathbf{\frac{27\ hands}{7}= 2.5\ heads}[/tex]

Multiply both sides by 7

[tex]\mathbf{27\ hands= 17.5\ heads}[/tex]

Divide both sides by 27

[tex]\mathbf{1\ hands= \frac{17.5}{27}\ heads}[/tex]

Multiply both sides by 10

[tex]\mathbf{10 \times 1\ hands= 10 \times \frac{17.5}{27}\ heads}[/tex]

[tex]\mathbf{10 \times 1\ hands= \frac{175}{27}\ heads}[/tex]

[tex]\mathbf{10\ hands= \frac{175}{27}\ heads}[/tex]

[tex]\mathbf{10\ hands= 6.5\ heads}[/tex]

Hence, 10 hands is 6.5 heads

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