Which is the value of the expression (3+9 2) divided by (3•2+11)

9514 1404 393

Answer:

  y = 20·2^x

Step-by-step explanation:

Use the given points to write two equations, then solve for 'a' and 'b'.

  20 = a·b^0 = a

  5120 = a·b^8 = 20·b^8   ⇒   256 = b^8

  b = 256^(1/8) = 2

Your function is ...

  y = 20·2^x

Answer:

A) 151 in³ or 151 cubic inches

Step-by-step explanation:

Volume of rocket = Volume of Cylinder + Volume of Cone

Step 1

Find the volume of the cylinder

Volume of a cylinder = πr²h

r = Diameter/2

= 5/2 = 2.5 inches

h = 6 inches

Hence,

π × 2.5² × 6

= 117.81 cubic inches

Step 2

Find the volume of the cone

Volume of a cone =1/3 πr²h

h = 11 inches - 6 inches

= 5 inches

r = 2.5 inches

Hence,

1/3 × π × 2.5² × 5

= 32.72 cubic inches

Therefore:

Volume of rocket = Volume of Cylinder + Volume of Cone

= 117.81 cubic inches + 32.72 cubic inches

= 150.53 cubic inches

Approximately to the nearest inch = 151 in³ or 151 cubic inches

Option A is correct

Answer:

[tex]y=-\frac{2}{7} x+7[/tex]

Step-by-step explanation:

First Solve For The Slope Using The Two Given Points!

M = Slope

M = [tex]\frac{y2-y1}{x2-x1}[/tex]

M = [tex]\frac{5-9}{7--7}[/tex]           Two negative signs together makes addition!

M = [tex]\frac{-4}{14}[/tex]               Move the negative sign (only if the fraction has a negative)

M = [tex]-\frac{4}{14}[/tex]            Simplify

M = [tex]-\frac{2}{7}[/tex]              Final Answer

Then see how many units the graph goes up = y-intercept

Answer: 7

Answer:

2nd one

Step-by-step explanation:

They are similar of course. But with the scale factor 3/4. 9/12 is 3/4, so is 12/16. Hope this is correct!

Step-by-step explanation:

Find the score for evan then subtract the points for min and evan tu find the difference

Step-by-step explanation:

any two methods that you can use to graph the equation are

y+4/3=x

y+4=3x

Answer:

B, I don't remember the reasoning but I know that's the answer

Given:

Consider the given equation is:

[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex]

To find:

The slope of the line that is represented by the given equation.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]                                      ...(i)

Where, m is the slope and b is y-intercept.

We have,

[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex]           ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{7}{2}[/tex]

Therefore, the slope of the given equation is [tex]-\dfrac{7}{2}[/tex].

Answer:

Step-by-step explanation:

(2). 1 yd ≈ 0.9144 m

1 yd³ ≈ 0.76455 m³

2 yd³ ≈ 1.53 m³ ≈ 2 m³

(3). 1 ft ≈ 0.3048 m

1 ft² ≈ 0.0929 m²

162 ft² ≈ 15.1 m²

(4). 1 mi ≈ 1.60934 km

1 mi² ≈ 2.59 km²

503 mi² ≈ 1302.8 km²

Step-by-step explanation:

the answer is in the image above

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

d+ 2d + 60 = 180

3d = 180 - 60

3d = 120

d = 40

The angles are 40, 80, 60

Answer:

x = 110 degree

Step-by-step explanation:

Hope this helps u !!

Answer:

197.92

Step-by-step explanation:

pretty simple not hard bub

Answer:

Step-by-step explanation:

so u gotta do 1=1/9nk

Answer:

True, a translation is a slide of a congruent shapes.

Step-by-step explanation:

If the size and shape of the figure is not changed, then the figures are congruent.

Answer:

x=9

Step-by-step explanation:

angle A =angle B (because they are corresponding angles)

5x-5=3x+13

5x-3x=13+5

2x=18

x=18/2

x=9

angle A=5x-5

=5*9-5

=45-5

=40

angle B=3x+13

=3*9+13

=27+13

=40

Answer:

A = B

5X-5 = 3X+13

5X-3X. =13+5

2X =18

X = 9

5X-5

(5×9)-5

45-5

=40

ANGLE A=ANGLE B =40

Answer:

i solve the question and answer is (a)5/13

Answer: 0.421, 0.422, 0.423, 0.43, 0.434

Step-by-step explanation:

Answer:

x = 7

y = 4

Step-by-step explanation:

y + 12 = 3x - 5

5y - 4 = 3x - 5

So y + 12 = 5y - x

To solve the equation above, y =4

Sub y = 4,

x = 7

Answer:

D. Four right angles

Step-by-step explanation:

Answer:

Step-by-step explanation:

one of the property of all rectangles is that it has four right angles

:-)

Answer:

En la clase hay 25 alumnos.

Step-by-step explanation:

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.

De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?

[tex]totalidad de los alumnos=\frac{100*5}{20}[/tex]

totalidad de los alumnos= 25

En la clase hay 25 alumnos.

Answer:

x = 30

Step-by-step explanation:

Side splitter theorem,

"If a line intersects two sides of a triangle and is parallel to the third side of the triangle, will divide the sides proportionally."

Therefore, ratio of the parts of two sides intersected will be proportional.

[tex]\frac{3}{15}= \frac{6}{x}[/tex]

[tex]x=\frac{6\times 15}{3}[/tex]

[tex]x=30[/tex]

Therefore, [tex]x=30[/tex] will be the answer.

Answer:

Step-by-step explanation:

The two lines intersect at one point.  At this one point, the two students will have drunken the same amount of liquid.

There is sufficient info here so that one could determine that time and that volume of liquid if desired.

Answer:

The Coordinates of Point C are C(5,2)

The slope of CD is 3  

The possible coordinates of point D(a,b) are (6, 5) and (4, -1)  

Step-by-step explanation:

According to the Question,

Now, Let The Coordinates of Point C are C( x , y ) .  

The Coordinates of Point C are C( x , y ) ⇒C(5, 2).  

And, The slope of AB = (1 - 3)/(8 - 2) ⇒ -2/6 ⇔ -1/3 .

Let the coordinate of D be (a, b) then

⇒ √{ (b - 2)² +(a - 5)² } = √10

 on squaring both sides we get,

 ⇒ a² - 10a + 25 + b² - 4b + 4 = 10

 ⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)  

We Know, the slope of CD = 3

⇒Thus,  (b - 2)/(a - 5) = 3

⇒ b - 2 = 3a - 15

⇒ b = 3a - 13 ⇔⇔ (Equation 2)

Putting value of Equation 2 into Equation 1, We get

⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19

⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19

⇒10a² - 100a + 240 = 0

⇒a² - 10a + 24 = 0

⇒(a - 4)(a - 6) = 0

⇒a = 4 or a = 6

Now,  

When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1

When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5

Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).

Answer:

The answer above is 100% correct

Step-by-step explanation:

I got 100 on my quiz.

Answer:

D.  [tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (-5, -3)

Point (3, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer: 8

Step-by-step explanation:

Answer:

10x² + 14x - 48

Step-by-step explanation:

F: (5x)(2x) = 10x²

O: (5x)(6) = 30x

I:  (-8)(2x) = -16x

L:  (-8)(6) = -48

combine the two middle terms to get 14x

10x² + 14x - 48

Answer:

I'm sorry I wish if I could help you but not sure of the answe

Answer:

B.

Symmetric Property

Step-by-step explanation: