Graph the inequality y ≥ 3x + 3.

Order matters is permutation

Order doesn't matters is combination

So

The correct combinations are

to get the equation of any straight line, we simply need two points off of it, so let's use the ones provided in the table above.

[tex]\begin{array}{|cc|ll} \cline{1-2} \stackrel{millions}{population}&year\\ \cline{1-2} 161&1950\\ 291&2000\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{161}~,~\stackrel{y_1}{1950})\qquad (\stackrel{x_2}{291}~,~\stackrel{y_2}{2000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2000}-\stackrel{y1}{1950}}}{\underset{run} {\underset{x_2}{291}-\underset{x_1}{161}}} \implies \cfrac{ 50 }{ 130 }\implies \cfrac{5}{13}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1950}=\stackrel{m}{\cfrac{5}{13}}(x-\stackrel{x_1}{161}) \\\\\\ y-1950=\cfrac{5}{13}x-\cfrac{805}{13}\implies y=\cfrac{5}{13}x-\cfrac{805}{13}+1950\implies y=\cfrac{5}{13}x+\cfrac{24545}{13}[/tex]

Answer:

341 cm²

Step-by-step explanation:

Formula :

Surface area = Area of 4 triangle faces + Area of square base

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

Solving :

⇒ Surface area = 4 × 1/2 × 11 × 10 + 11²

⇒ Surface area = 2 × 110 + 121

⇒ Surface area = 220 + 121

⇒ Surface area = 341 cm²

The surface area of the square pyramid is 341 square centimeter.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The surface area of a square pyramid is calculated by the equation S = B + 1/2 × P × S

where B is the area of the base,

P is the perimeter of the base, and

S is the slant height of the pyramid.

the area of the base =11×11

B=121 square centimeter

The perimeter of the base = 2(11+11)

P= 44 cm

Slant height (S) is 10 cm.

Surface Area = 121 + 1/2 (44×10)

=121+220

=341 square centimeter

Hence,  the surface area of the square pyramid is 341 square centimeter.

To learn more on Three dimensional figure click:

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Answer:

4.22675 cups are equal to 1000 milliliters

Step-by-step explanation:

1000 milliliters is equivalent to __4.22675__ cups

Hope This Helped

Answer:

4.22675

Step-by-step explanation:

Answer:

0.705

Step-by-step explanation:

| -1/2 - 1/8| + ( -3/4 + 5/6)

| -1/2 - 1/8| + ( -0.75 + 0.83)

| -1/2 - 1/8| + 0.08

| -0.5 - 0.125| + 0.08

|-0.625| +0.08

0.625+0.08

0.705

hope it helps

Answer:

B

Step-by-step explanation:

just find the equal difference of y values.

Step-by-step explanation:

to add to the explanation :

an arithmetic sequence is defined as

an = an-1 + d

so, every term of the sequence is created by adding the same constant d (the common difference) to the previous term.

therefore, you find the common difference by finding the difference of 2 sequential terms.

like here e.g.

a3 = 38

a4 = 53

53 - 38 = 15

bingo !

and to verify that it truly is an arithmetic sequence, we can quickly also check the differences between the other pairs. yes, they are all 15.

be prepared for a trap like

1 8

2 23

3 38

5 68

notice the sudden jump in x ? suddenly x is increased by 2.

that just means we compare

an and an-2 instead of an-1.

so, how is related to an-2 ?

an = an-1 + d = (an-2 + d) + d = an-2 + 2d

and so we would get

a3 = 38

a5 = 68

a5 - a3 = 2d = 30

d = 15

so, don't get confused by such jumps or gaps.

Answer: The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height

Step-by-step explanation:

Area of ΔABC= 1/2 × Base × Height = 1/2 × h × BC

If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.

Thus, we have seen the formula and definition of the area of triangle ABC.

Answer:

12

Step-by-step explanation:

127491733816383827i 9273

Using the Empirical Rule, it is found that the interval that would represent a similar percentage of Great Danes would fall between 130 and 170 pounds.

It states that, for a normally distributed random variable:

68% fall within 1 standard deviation of the mean, hence for the Great Danes, the values are given as follows:

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

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Answer:

f(x) = 3x + 9:  y - intercept is option  c. (0,-9)

f(x) = 3x - 9:  y - intercept is option   b. (0, 9)

Step-by-step explanation:

option a and d cant be correct since y = 0 in those answer when the y - intercept is when x = 0

If the function f(x) = 3x + 9

than x = 0

f(x) = 3(0) + 9

f(x) = 0 + 9

f(x) = 9

x = 0 and y = 9 (0, 9)

If the function f(x) = 3x - 9

than x = 0

f(x) = 3(0) - 9

f(x) = 0 - 9

f(x) = -9

x = 0 and y = -9 (0, -9)

Answer:

59 degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees

Angles in a triangle add up to 280 degrees

180 minus 149 is 31

31 add 90 is 121

180 minus 121 is 59

Answer:

Step-by-step explanation:

Answer:

Points on the inverse are [tex](1,-1), (4,2), \text{and } (0,0)[/tex]

Step-by-step explanation:

When writing the inverse function of a set of points, you simply switch the coordinates:

[tex]\text{Function}: (x,y)\\\text{Inverse}: (y,x)[/tex]

We are given the points

[tex](-3,9), (-1,1), (0,0), \text{and } (2,4)[/tex]

Using our rule for function, our new points will be

[tex](9,-3), (1,-1), (0,0), \text{and } (4,2)[/tex]

From the list, the points we have for the graph of the inverse are

[tex](1,-1), (4,2), \text{and } (0,0).[/tex]

Answer:

I can find at least 10 4-letter words out of hexagon.

Step-by-step explanation:

1.) Hexa (means 6)

2.) gone

3.) nage (a type of bullion)

4.) gane (to yawn)

5.) hage (a frightening old woman; a witch)

6.) hane (ghostly)

7.) axon (a part of a nerve cell)

8.) hang

9.) oxen

10.) hoax

Answer:

A. 3/10

B.1/7

Step-by-step explanation:

Answer:

648 in^2

Step-by-step explanation:

your must find the surface area of the rectangular prism

this can be modelled by

2(9 * 9) + 2(13.5 * 9) + 2(13.5 * 9)

or

2(9 * 9) + 4(13.5 * 9)

then you do whats inside the parenthesis

2(81) + 4(121.5)

and lastly you multiply and add

162 + 486 = 648

the answer is 648 in^2

Answer: its c

Step-by-step explanation: im a smarty boy i hope u its right or not

Answer:

The bird's speed is 50mph.

The bird's feeder is 25 miles away.

Step-by-step explanation:

10/6=x/30

6*x=30 is 6/30=x

x=5

6*5=30 so 10*5=50

x=50

mph/time=distance per hour

50/(1/2)=25 miles

Answer:

[tex]x = 2, y = -3[/tex]

Step-by-step explanation:

Add the 2 equations together, then solve for x.

[tex](2x + 2y) + (3x - 2y) = (-2) + (12)\\ 2x + 3x + 2y - 2y = -2 + 12\\5x = 10\\x = 2[/tex]

Now that we know the value of x, we can easily find y by substitution.

[tex]3x - 2y = 12\\3(2) - 2y = 12\\6 - 2y = 12\\-2y = 6\\y = -3[/tex]

These are the answers

- Kan Academy Advance

Answer:

  410 g

Step-by-step explanation:

Radioactive decay can be modeled by an exponential equation. The amount remaining (y) after a time period (t) can be expressed in terms of the initial amount (a) and the half-life (h).

  y = a(1/2)^(t/h)

__

We can use this equation with the given values to find the amount remaining.

  y = (680 g)(1/2)^((19 yrs)/(26 yrs)) ≈ (680 g)(0.602583)

  y ≈ 410 g

About 410 grams of element X will remain after 19 years.

Answer:

17

Step-by-step explanation:

at f(7) means x is 7

7+10 is 17

Answer:

Objects mostly have one or more geometrical shapes like the following. These types of shapes are called three dimensional (3-D) shaped solids. All these geometrical shapes have faces. We have learned about faces like triangular faces, rectangular face, square face and circular face.

Answer:

∠ QPR = 125°

Step-by-step explanation:

the angles subtended by 2 congruent arcs are congruent , that is

5x = 4x + 25 ( subtract 4x from both sides )

x = 25

Then

∠ QPR = 4x + 25 = 4(25) + 25 = 100 + 25 = 125°

Answer:it's 24

Step-by-step explanation:

its multiplying the 5, 6 times

Answer:

The first one with the number 38

Step-by-step explanation:

Answer:

Step-by-step explanation:

The triangles are congruent when corresponding sides are congruent.

__

ΔFGH ≅ ΔABC means corresponding sides are ...

  (GH, BC) = (V, 16)

  (HF, CA) = (48, W)

Corresponding sides being congruent means ...

  V = 16

  W = 48

Answer:

Dimensions:  150 m x 150 m

Area:  22,500m²

Step-by-step explanation:

Given information:

Let [tex]x[/tex] = width of the field

Let [tex]y[/tex] = length of the field

Create two equations from the given information:

  Area of field:   [tex]A= xy[/tex]

  Perimeter of fence:   [tex]2(x + y) = 600[/tex]

Rearrange the equation for the perimeter of the fence to make y the subject:

[tex]\begin{aligned} \implies 2(x + y) & = 600\\ x+y & = 300\\y & = 300-x\end{aligned}[/tex]

Substitute this into the equation for Area:

[tex]\begin{aligned}\implies A & = xy\\& = x(300-x)\\& = 300x-x^2 \end{aligned}[/tex]

To find the value of x that will make the area a maximum, differentiate A with respect to x:

[tex]\begin{aligned}A & =300x-x^2\\\implies \dfrac{dA}{dx}& =300-2x\end{aligned}[/tex]

Set it to zero and solve for x:

[tex]\begin{aligned}\dfrac{dA}{dx} & =0\\ \implies 300-2x & =0 \\ x & = 150 \end{aligned}[/tex]

Substitute the found value of x into the original equation for the perimeter and solve for y:

[tex]\begin{aligned}2(x + y) & = 600\\\implies 2(150)+2y & = 600\\2y & = 300\\y & = 150\end{aligned}[/tex]

Therefore, the dimensions that will give Tanya the maximum area are:

150 m x 150 m

The maximum area is:

[tex]\begin{aligned}\implies \sf Area_{max} & = xy\\& = 150 \cdot 150\\& = 22500\: \sf m^2 \end{aligned}[/tex]