Find the missing term in the geometric sequence.
60, [?], 3/5

50-3x<20

the answer is C. 11

D and F are functions on an appropriate domain. A, C, and D are functions that take in a real number and output a real number, so they are valid functions on the domain of real numbers.

A domain is a set of names or IP addresses that are associated with a particular website or web server. It is what allows users to access a website's content using a web browser. Domains are typically purchased from a domain registrar and can be used to host websites, email accounts, and other services.

B and F are invalid functions because they take in a real number and output something that is not a real number.

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Answer:

width= 3.17

Step-by-step explanation:

Divide 38 (the area) by 12 (the width)

Answer:

4 weeks

Step-by-step explanation:

Wyatt's equation:

t=14w+40

Julian's equation:

t=19j+20

Since both equations equal the same thing, or t, we can equal them against each other as 1 equation

14t+40=19t+20

(subtract 20 from both sides)

14t+20=19t

(subtract 14t from both sides)

20=5t

(divide both sides by 5)

t=4 weeks

Step-by-step explanation:

61 degree

180 _ 58 =122

122 is the sum of the two angles

If we divide 122 by 2 we'll get 61

Answer:

61°

Step-by-step explanation:

hope this helps! :D

The solution of the equation 4 = 13 – 3x is x = 3 which is the correct answer would be an option (B).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given an equation as

4 = 13 – 3x

Rearrange the terms non-variables and variables,

3x = 13 - 4

Apply the subtraction operation,

3x = 9

x = 9/3

Apply the division operation, and we get

x = 3

Therefore, the correct answer would be an option (B).

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Respuesta:

3x-y-1 = 0

Explicación paso a paso:

La forma estándar de ecuación de una línea se expresa como y = mx + b

M es la pendiente

b es la intersección con el eje y

Dada la coordenada P1 (2,5) y P2 (4,11)

Pendiente m = y2-y1 / x2-x1

m = 11-5 / 4-2

m = 6/2

m = 3

Sustituya m = 3 y (2,5) en y = mx + b

5 = 3 (2) + b

5 = 6 + b

b = 5-6

b = -1

Obtén la ecuación

y = 3x-1

Igualar a cero

y - 3x +1 = 0

Multiplicar por -1

3x-y-1 = 0

Esto da la ecuación requerida

Answer:

The answer would be 4th one

'cause the difference between them is ur slope and ( the first term - the difference) is ur *y intercept* .

Step-by-step explanation:

Good luck .

Hope this helped u ;)

The cost is directly proportional to the lateral area, the silo with the smallest lateral area, which is Silo D, will also have the lowest cost to paint.

To determine which silo will cost the least to paint, we need to calculate the lateral area for each silo using the formula for the lateral area of a cylinder, which is LA = 2πrh.

Silo A:

Radius (r) = 6 feet

Height (h) = 60 feet

Lateral Area (LA) = 2π(6)(60) = 720π square feet

Silo B:

Radius (r) = 8 feet

Height (h) = 50 feet

Lateral Area (LA) = 2π(8)(50) = 800π square feet

Silo C:

Radius (r) = 10 feet

Height (h) = 34 feet

Lateral Area (LA) = 2π(10)(34) = 680π square feet

Silo D:

Radius (r) = 12 feet

Height (h) = 20 feet

Lateral Area (LA) = 2π(12)(20) = 480π square feet

To compare the costs, we multiply the lateral area of each silo by the cost per square foot, which is $1.20:

Cost of Silo A = 720π * $1.20 = 864π dollars

Cost of Silo B = 800π * $1.20 = 960π dollars

Cost of Silo C = 680π * $1.20 = 816π dollars

Cost of Silo D = 480π * $1.20 = 576π dollars

Since the cost is directly proportional to the lateral area, the silo with the smallest lateral area, which is Silo D, will also have the lowest cost to paint.

Therefore, Silo D will cost the least to paint.

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Answer: Each friend should bring 10 cups, 10 plates, and 20 napkins.

Sorry if this isn't the proper answer your looking for; I might not be understanding the context of the question.

Answer:

2.9 or 2.90

Step-by-step explanation:

The fraction is 10 so it's pretty easy as decimals run through tens

The second derivative, inflation point and slope of differential equation are explained below.

differential equation states how a pace of progress (a "differential") in one variable is connected with different factors. For example, when the position is zero (ie. the spring is neither extended nor compacted) then the  velocity isn't evolving.

We have,

dy/dx = 2x-y

Suppose f'(x) = 2x - y

d^2y/dx^2 = d(2x - y)/dx

⇒ 2

(b) To find the inflection points, equate f(x) to zero and solve for x.

f"(0) =0

f" (x)=2

So, the function defined on the interval (- ∞, 2) (2,  ∞)

In the interval (- ∞, 2), when x-1

f"(1)=2>0

So, the concave up wards on this interval.

In the interval (2,∞) when x=2

f"(2)=2>0

the concave up wards on this interval

Now, the slope of the function,

f(2)=3

here x-2y=3

Then, x = 2, y = 3

\(\frac{dy}{dx}|_{2, 3}\) = 2(2) - 3 = 1

Thus, the slope of the function is 1.

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The formula f(x) = Pe^(rx) models the population in millions x years after 2010, where P is the initial population, r is the annual growth rate (in decimal form), and e is the base of the natural logarithm.

In Mathematics, logarithms are the other way of writing the exponents. A logarithm of a number with a base is equal to another number. A logarithm is just the opposite function of exponentiation.

(a)  Given that the population in 2010 was 40 million (P = 40) and the annual growth rate is 1.03% (r = 0.0103), we can write the formula as:

\(f(\text{x}) = 40e^{(0.0103\text{x})}\)

(b) To estimate the population in 2021, we need to substitute x = 2021 - 2010 = 11 into the formula and calculate the value of f(x):

\(f(11) = 40e^{(0.0103 \times 11)}\)

Using a calculator, we find that f(11) is approximately 44.80 million. Rounded to the nearest whole number, the population in 2021 is 45 million.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The options that can be used as indices for the array are option A (i) and option E ((int)(Math.random() * 100)).

To determine which expressions can be used as an index for the array double[] t = new double[100], let's evaluate each option :

A. i: Since i is an integer variable with a value of 5, it can be used as an index because it falls within the valid index range of the array (0 to 99).

B. I + 6.5: This expression adds 6.5 to the variable i. Since array indices must be integers, this expression would result in a double value and cannot be used as an index.

C. 1 + 10: This expression evaluates to 11, which is an integer value and can be used as an index.

D. Math.random() * 100: The Math.random() function returns a double value between 0.0 (inclusive) and 1.0 (exclusive). Multiplying this value by 100 would still result in a double value, which cannot be used as an index.

E. (int)(Math.random() * 100): By multiplying Math.random() by 100 and casting the result to an integer, we obtain a random integer between 0 and 99, which falls within the valid index range and can be used as an index.

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The functions when ordered from narrow to wide is g(x) = 4x², h(x) = 2x² and f(x) = (1/3)x²

The width of the graph of a quadratic function is determined by the coefficient of the squared term.

The greater the value of this coefficient, the narrower the graph, and vice versa.

So, in order of increasing width, we have:

g(x) = 4x²

h(x) = 2x²

f(x) = (1/3)x²

f(x) has the widest graph because its coefficient is the smallest, followed by h(x), and g(x) has the narrowest graph because its coefficient is the largest.

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The chance of x 92 is the best option since it corresponds to the shaded area under a normal distribution with a mean of 100 and a standard deviation of 5.

Identify the mean (μ) and standard deviation (σ),

Here,  mean μ = 100, standard deviation σ = 5
Recognize that x = 92 is within the shaded region of normal distribution, so the probability we're looking for is either x ≤ 92 or x ≥ 92.
Since the shaded region is to the right of 92, the best choice is the probability of x ≥ 92.

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Answer:

I think that it should be

\( {(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)\)

Step-by-step explanation:

Here,

we take , a - b = A,b-c = B , c - a= C

A+B+C = 0

we know that,

\( {a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)\)

Here , A+B+C = 0

so,

A^3 +B^3 + C^3 = 3 ABC

now we put the values

\({(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)\)

I am done .

I think that it should be

{(a - b)}^{3}  +  {(b - c)}^{3}  +  {(c - a)}^{3}  = 3(a - b)(b - c)(c - a)

Step-by-step explanation:

Here,

we take , a - b = A,b-c = B , c - a= C

A+B+C = 0

we know that,

{a}^{3}  +  {b}^{3}  +  {c}^{3}   - 3abc = (a + b + c)(  {a}^{2}  +  {b}^{2}  +  {c}^{2}  - ab - bc - ca)

Here , A+B+C = 0

so,

A^3 +B^3 + C^3 = 3 ABC

now we put the values

{(a - b)}^{3}  +  {(b - c)}^{3}  +  {(c - a)}^{3}  = 3(a - b)(b - c)(c - a)

I am done .

The height of the kite above Brian's head is approximately 186 meters.To determine the height of the kite above Brian's head, we can use trigonometry and the given angle of elevation.

Let's consider the right-angled triangle formed by the kite string, the height of the kite, and the horizontal distance from Brian to the kite. The angle of elevation, 70°, is the angle between the horizontal ground and the kite string. In this triangle, the opposite side represents the height of the kite, and the hypotenuse represents the length of the kite string, which is 65 meters. Using the trigonometric function tangent (tan), we can set up the following equation: tan(70°) = height / 65. Solving for the height, we have: height = tan(70°) * 65. Calculating this value, we find: height ≈ 185.55.

Rounding this to the nearest whole number, the height of the kite above Brian's head is approximately 186 meters.

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Answer: Cylinder uses less material to make.

Box holds more soup then cylinder.

Step-by-step explanation:

Total surface area of cuboidal box =2(lw+wh+lh), l= length, w=width, h=height

Total surface area of cylinder = \(2\pi r(r+h)\)  where r= radius and h is height.

Given , Dimension of box : 7.5 cm by 4.7 cm by 14.5 cm

Dimension of cylinder : radius of 3.3 cm and a height of 10 cm.

Total surface area of box =2((7.5)(4.7)+(4.7)(14.5)+(7.5)(147.5)) sq. cm

= 2(1209.65)

=2419.3 sq. cm

Total surface area of cylinder = \(2(3.14)(3.3)(3.3+10)\)\(=275.63\ \text{ sq. cm}\)

[π=3.14]

(Total surface area of cylinder)<(Total surface area of box )

So, cylinder uses less material to make.

Volume of box = l x w x h

= (7.5)(4.7)(14.5) = 511.13 cubic cm

Volume of cylinder = \(\pi r^2h\)

\(=(3.14)(3.3)^2(10)\)

= 341.946 cubic cm

As (Volume of box) > (Volume of cylinder )

So, Box holds more soup then cylinder.

Answer:

\(37d + 0.20m \le 95\)

Step-by-step explanation:

Given

\(Cost = 95\) --- not more than

\(daily = 37\)

\(mile = 0.20\)

Required

Represent as an inequality

Let the number of days be d and the number of miles be m.

So, we have:

37d for d days and 0.20m for miles

Not more than means \(\le\)

So, the inequality is: \(37d + 0.20m \le 95\)

Answer:

13.29x

Step-by-step explanation:

1.97x - 4.83x = -2.86x

-2.86x + 7.95x = 5.09x

5.09x + 11.83x = 16.92x

16.92x - 3.63x = 13.29x

Answer:

30+30=11

Step-by-step explanation:

so bye

Answer:

The answer to your problem is 540

Step-by-step explanation:

The answer is 180 because all triangles have 3 sides and a pentagon is 3 triangles formed as one so you need to do 180 x 3 which is 540

Answer:

Diagram 1

Step-by-step explanation:

This diagram does not represent a function because the x value 6 is outputting 2 different y values, 4 and 6. This goes directly against the rules of a function.

Answer:

The measurement for "A" is 1.5

Answer:

1 unit

......................................

Answer:

Step-by-step explanation: