As x increases by 1 unit, what is the exponential growth factor??

Answer:

Step-by-step explanation:

D.The sign of h must be negative and the signal of k must be positive *it’s for sure the answer.

Answer:

D.The sign of h must be negative and the signal of k must be positive EDGE 2021

Given:

The graph of system of inequalities.

To find:

The system of inequalities.

Solution:

From the given graph it is clear that the shaded region is lies below the line y=10 and the boundary line y=10 is a solid line. So, the sign of inequality must be [tex]\leq[/tex].

[tex]y\leq 10[/tex].

The shaded region lies on the right side of the y-axis. So, [tex]x\geq 0[/tex].

Another boundary line passes through the point (0,1) and (1,2). So, the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-1=\dfrac{2-1}{1-0}(x-0)[/tex]

[tex]y=1(x)+1[/tex]

[tex]y=x+1[/tex]

The boundary line [tex]y=x+1[/tex] is a dotted line and the shaded region lies above the boundary line, so the sign of inequality must be [tex]>[/tex].

[tex]y> x+1[/tex]

So, the required system of inequalities is:

[tex]y> x+1[/tex]

[tex]y\leq 10[/tex]

[tex]x\geq 0[/tex]

Therefore, the correct option is B.

Answer:

1.-dh/dt  =  5.31*10⁻⁵ m/seg

2.-dh/dt =   1.99*10⁻⁵  m/seg

3.-dh/dt  =  1.59*10⁻⁴  m/seg

Step-by-step explanation:PREGUNTA INCOMPLETA NO SE INDICAN LAS FORMAS DE LOS TANQUES.

Asumiremos que los tres tanques son:

el primero cilindro recto     de  Vc = π*r²*h      ( r es radio de la base y h la altura)

el segundo asumiremos que es eliptico recto de Ve = π*a*b*h aqui a y b son los ejes de la elipse y h la altura

El tercero es un cono invertido Vco  = 1/3 *π*r²*h  ( r es el radio de la base.

1.-Caso del cilindro

Vc = π*r²*h

Derivando en ambos miembros de la expresión tenemos:

dV(c) / dt  = π*r²*dh/dt

Sustituyendo

1.5 Lts/seg =  3.14 * (3)²*dh/dt  

1.5/1000 m³/seg  =  28.26 m² dh/dt

1.5/ 28260 m  =  dh/dt

Despejando dh/dt

dh/dt  =  1.5 / 28260    =  5.31*10⁻⁵ m/seg

dh/dt  =  5.31*10⁻⁵ m/seg

2.-La elipse

Ve  = π*a*b*h  

Aplicando el mismo procedimiento tenemos:

DVe/dt  =  1.5 Lts/seg  =  π* 6*4* dh/dt

1.5 /1000   =  75.36 *dh/dt

dh/dt =  1.5 / 75360  m/seg

dh/dt =   1.99*10⁻⁵  m/seg

3. El cono invertido

Vco = (1/3)*π*r²*h

DVco/dt =  (1/3)*π*r²*dh/dt

1.5/1000  =  9.42 *dh/dt

dh/dt  =  1.5/9420

dh/dt  =  1.59*10⁻⁴  m/seg

Answer:

7900 is the round off to the nearest hundred

Answer:

38.5

Step-by-step explanation:

b^2= 29^2+20^2-2×20×29× Cos 102

b^2=841+400-1160 (-0.2079)

=1241- 241.164

b^2=1482.164

b= square root of 1482.164

AC = 38.5

Answer:

$5

Step-by-step explanation:

Find the markup by finding 25% of 20:

20(0.25)

= 5

So, the markup is $5

Answer:

16 2/3 ounces per mile

Step-by-step explanation:

50 ounces of blueberries/3 miles = 16.666 repeated

16.666 repeated = 16 2/3 ounces/mile

Answer:

The table on the right, the green table, is the one that shows a proportional relationship

Step-by-step explanation:

Answer:

Well the correct answer is 9=2+(x/3) or

(3/x)+2=9

Answer:

Step-by-step explanation:

e) 3√2 (-3√6 -2 -6)

3√2 (-3√6 - 8)

-9√12 - 24√2

-9√(2^2 * 3) - 24√2

-18√3 - 24√2

or

6(-3√3 - 4√2)

f) -5√2 (3 + 2√2 - 6 - 1)

-5√2(-4 + 2√2)

20√2 - 20

or

20(√2 - 1)

Answer:

The minimum value of f(x) is greater than the minimum value of g(x).

Step-by-step explanation:

Given

[tex](h_1,k_1) = (3,4)[/tex] --- vertex of f(x)

[tex]g(x) = 4(x - 4)^2 + 3[/tex] --- g(x) equation

Required

Which of the options is true

First, we identify the vertex of g(x)

A quadratic function is represented as:

[tex]g(x) =a(x - h)^2 + k[/tex]

Where:

[tex](h,k) \to[/tex] vertex

So, we have:

[tex](h_2,k_2) = (4,3)[/tex]

[tex]a = 4[/tex]

If [tex]a>0[/tex], then the curve opens upward

From the question, we understand that f(x) also open upward. This means that both functions have a minimum

The minimum is the y (or k) coordinate

So, we have:

[tex](h_1,k_1) = (3,4)[/tex] --- vertex of f(x)

[tex](h_2,k_2) = (4,3)[/tex] --- vertex of g(x)

The minimum of both are:

[tex]Minimum = 4[/tex] ----  f(x)

[tex]Minimum = 3[/tex] ----  g(x)

By comparison:

[tex]4 > 3[/tex]

Hence, f(x) has a greater minimum

Answer:

The minimum value of f(x) is greater than the minimum value of g(x).

Step-by-step explanation:

Step-by-step explanation:

the correct answer for the question is 85

We know that, in a triangle,

Exterior angle = Sum of interior opposite angles

So,

missing angle = 45° + 40°

=> missing angle = 85°

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]x(8 + 9) = 34 \\ 8x + 9x = 34 \\ 17x = 34 \\ x = \frac{34}{17} \\ x = 2[/tex]

=> The answer is 2.

Answer:

[tex]2^{3}[/tex]×5×3×[tex]x^{2}[/tex]×[tex]y^{4}[/tex]

Step-by-step explanation:

[tex]8xy^{4}[/tex]= [tex]2^{3}[/tex]×[tex]x[/tex]×[tex]y^{4}[/tex]

6[tex]x^{2} y[/tex]= 2×3×[tex]x^{2}[/tex]×[tex]y^{}[/tex]

10[tex]x^{2} y^{2}[/tex] = 2×5×[tex]x^{2}[/tex]×[tex]y^{2}[/tex]

[tex]2^{3}[/tex]×5×3×[tex]x^{2}[/tex]×[tex]y^{4}[/tex]

Answer:

I attached pictures of the two graphs, I hope they help!

Step-by-step explanation:

Answer:

x = 2 is a vertical line going through 2 on the x-axis. It has an undefined slope.

y = 4 is a horizontal line going through 4 on the y-axis. It has a slope of zero

They are perpendicular.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

1/2 ÷3/4 =

1/2 ×4/3 =  4/6

4/6 ÷2  = 2/3 is the answer

Answer:

4

Step-by-step explanation: This one is easy if you have 6 groups of ones then times it by 4 and you will get 24.

Answer:

N= 4

C=5

T=22

K=1

Step-by-step explanation:

Edge 2021

Answer:

Last year sales increased by 200%. This year sales decreased by 50%.

Step-by-step explanation:

Answer:

2√10 km

Step-by-step explanation:

By Pythagoras theorem,

x^2 + 9^2 = 11^2

x^2 + 81 = 121

x^2 = 121 - 81

x^2 = 40

= 4 x 10

x^2 = 2^2 x 10

x = 2√10 km

Answer:

So the volume of a sphere is calculated using the formula: [tex]\frac{4}{3} \pi r^{3}[/tex]

Substitute in the value of r and solve:

[tex]\frac{4}{3} \pi 11^{3}\\\\=\frac{4}{3} \pi *1331\\\\=\frac{4*3.14*1331}{3}\\\\=5,575.28[/tex]

5 + (1 + 1)3 × 2

5 + (2) 3 x 2

5 + 6 x 2

5 + 12

17

Answer:

17

Step-by-step explanation:

5 + (1+1)3*2

1+1= 2

5+2*3*2

3*2= 6

6*2= 12

12+5=17

Answer:

ANSWER :

it's x + 3 + x

Answer:

Option (1)

Step-by-step explanation:

Given inequality is,

-4(x + 3) ≤ -2 - 2x

Further solve this inequality,

-4x - 12 ≤ -2 - 2x

-4x + 2x - 12 ≤ -2 - 2x + 2x

-2x - 12 ≤ -2

-2x - 12 + 12 ≤ -2 + 12

-2x ≤ 10

-x ≤ 5

x ≥ -5

Therefore, on a number line draw an arrow starting with a solid circle (because of equal to sign) and moving towards the numbers greater than -5.

Option (1) is the answer.

Answer:

[tex]Area = \frac{1}{2} * AC * D[/tex]

Step-by-step explanation:

From the complete question, we have:

Length D to be perpendicular to side AC

So, the area of the triangle is:

[tex]Area = \frac{1}{2} * Base * Height[/tex]

Since:

Length D is perpendicular to side AC

Then:

[tex]Base = AC[/tex]

[tex]Heigjt =D[/tex]

So:

[tex]Area = \frac{1}{2} * AC * D[/tex]

Answer:

sorry I don't know

Step-by-step explanation:

.........

Answer:

Step-by-step explanation:

In each option you need to find the number of outcomes of a single event and then multiply that by the number of times that event takes place.

1. 2 outcomes (heads and tails)

2. 6 outcomes (2 outcomes * 3 tosses)

3. 60 outcomes (6 outcomes per die * 10 rolls)

4. 12 outcomes (6 outcomes per die * 2 rolls)

5. 10 outcomes (10 numbers on the pad)

6. 52 outcomes (52 cards in a regular deck)

7. 32 outcomes (32 letters in the alphabet)

8. 7 outcomes (7 letters to choose from)

9. 10 outcomes (10 letters to choose from)

10. 36 outcomes (36 crayons to choose from)

Answer:

Step-by-step explanation:

Binomial Expansion:

[tex](2x-3y)^4 \\\\= 4C_0(2x)^4 (-3y)^0 + 4C_1(2x)^3 (-3y)^1 + 4C_2(2x)^2(-3y)^2 \\\\+ 4C_3(2x)^1 (-3y)^3 + 4C_4(2x)^0 (-3y)^4\\\\=16x^4 + 4(8x^3)(-3y) + 6(4x^2)(9y^2) + 4(2x)(-27y^3) + 81y^4\\\\=16x^4 - 96x^3y + 216x^2y^2-216xy^3 +81y^4[/tex]

Pascal's Triangle:

  Zero row                        1

 First row                  1                 1

 Second row          1           2             1

 Third  row         1         3              3          1

 Fourth row    1       4            6           4          1