a) The term-to-term rule of a sequence is
MULTIPLY BY 2 and ADD 1
The sequence starts 5 11
Work out the next two terms of the sequence.
b) The term-to-term rule of another sequence is
MULTIPLY BY 2 and ADD 3
The third term of the sequence is 17
17
Work out the first term of the sequence.

Number of years old is a shark that is 175 centimeters long = 17.6 years

Given that,

The length l (in centimeters) of a scalloped hammerhead shark can be modeled by the function \(l\) = 266 - 219\(e^{-0.05t}\)

Where t is the age (in years) of the shark

A shark that is number of centimeters long = 175

Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects. For example, a rectangle has its dimensions as length and breadth.

So,

We can write,

A shark that is number of centimeters long = The length l (in centimeters) of a scalloped hammerhead shark can be modeled by the function

175 = 266 - 219\(e^{-0.05t}\)

- 219\(e^{-0.05t}\) = 175 - 266

We can sum or difference of the coefficient,

- 219\(e^{-0.05t}\) = -91

We can cancel the negative symbols,

219\(e^{-0.05t}\) = 91

\(e^{-0.05t}\) = \(\frac{91}{219}\)

- 0.05t = | \(n^{\frac{91}{219} }\)

t ≅ 17.6 years

Therefore,

Number of years old is a shark that is 175 centimeters long = 17.6 years

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the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

Let x be the side length of the square cut from each corner of the tin sheet. Then the dimensions of the base of the box will be (10-2x) by (10-2x), and the height of the box will be x. Thus, the volume of the box is given by:

V = (10-2x)^2 * x = 4x^3 - 40x^2 + 100x

To maximize V, we take the derivative of this expression and set it equal to zero:

dV/dx = 12x^2 - 80x + 100 = 0

Solving for x using the quadratic formula, we get:

xx = (80 ± sqrt(80^2 - 4*12*100))/24 ≈ 1.74, 5.76

The solution x = 1.74 is extraneous, since it would result in negative dimensions for the box. Thus, the optimal size of the square to be cut from each corner is x = 5.76 inches.

The dimensions of the box with the largest volume are:

Length = Width = 10 - 2x = 10 - 2(5.76) ≈ 3.48 inches

Height = x = 5.76 inches

Therefore, the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.

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The length of side v in the triangle VWX is 3.2 cm

An equation is an expression that shows how two numbers and variables are related using mathematical operations such as addition, subtraction, exponent, division and multiplication.

Sine rule shows the relationship between the sides and angles of a triangle. It is given by:

a/sin(A) = b/sin(B) = c/sin(C)

In triangle VWX, x = 1.5 cm, m∠X=26° and m∠V=71°. Hence:

v/sin(V) = x/sin(X)

substituting:

v/sin(71) = 1.5/sin(26)

v = 3.2 cm

The length of v is 3.2 cm

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The length of side A in centimeters is 6cm

D. 6

Answer:

Blank 1: x

Blank 2: 1.5

Step-by-step explanation:

#thanks for the points!

#Chloe919

#carry on learning

Answer:

5 weeks

Step-by-step explanation:

Let factory B produce the same amount of shoes as factory A in w weeks.

then,

70+50w = 120+40w

50w - 40w = 120 - 70

10w = 50

w = 50/10

w = 5

Therefore, in 5 weeks factory B will produce the same amount of shoes as factory A will produce in 5 weeks time.

Step-by-step explanation:

Factor, in mathmatechis, a number or algebric expression that divides another number or expression evenly.

For example, 3 and 6 are factors of 12 because 12 divided by 3 equals 4 exactly and 12 divided by 6 equals 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Answer:

487

or

4870

Step-by-step explanation:

(I might not have done it right)

is it 24,354 / 5 or 2,435 / 5?

Because I got 487

But to check an answer you must multiply

When I multiplied 5 x 487 the answer is 2,435

But 5 x 4870 is 24,350

It has to be one of these

De acuerdo con la información, podemos inferir que el valor de la hipotenusa es 40.

Para calcular el valor de la hipotenusa de este triángulo debemos utilizar el Teorema de Pitágoras. Entonces, debemos aplicar esta fórmula:

En este caso, el valor de a sería 32, el valor de b sería 24. Una vez remplazamos los valores debemos solucionar la fórmula para hallar el valor de c (hipotenusa):

Entonces podemos inferir que 40 es el valor de la hipotenusa de este triángulo.

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Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

Answer:  (10*4)*2  = 80

Step-by-step explanation: 10*4= 40

                                              40*2 = 80

I hope it helps. Please mark as brainliest if it helps

Answer: 80

Step-by-step explanation:

Answer:

its x^3 or 1

Step-by-step explanation:

there's nothing else you can do with it

also it might be 1 because x by itself is 1 so x^3 is considered  1^3

Answer:

7/20

0.35

35%

Step-by-step explanation:

12 year olds: 40%

12 year olds: 25%

11 year olds: 100% - 40% - 25% = 35%

35% = 35/100 = 7/20

35% = 0.35

35% = 35%

x = 54 ft

d = 46.8 ft

Step-by-step explanation:

Let x be the length of the guy wire. Using the definition of cosine,

cos 60 = 27/x ----> x = (27 ft)/cos 60 = 54 ft

To find the distance d, we use either the sine or tangent of 60°. Let's use the sine:

sin 60 = opp/hyp = d/(54 ft)

or d = (54 ft)sin60°

= 46.8 ft

Answer:

k

Step-by-step explanation:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

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Answer:15 hours

Step-by-step explanation:

You have to subtract to get your answer.I'll show you how I got 15:

374-8=366

366-8=358

358-8=350

350-8=342

Whatever number you get after you subtracted, you subtract that number from 8 until you get your answer.

Answer:

you gave no context....so ill just guess 3.

Answer:

314.97

Step-by-step explanation:

Answer:

Depending on the upwards pull ( also known as c356Q) it would equal 75c

Step-by-step explanation:

Sorry if this is not the you should of explained a little bit more

Answer:

75c

Step-by-step explanation:

:)

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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Answer:

Step-by-step explanation:

2.06

Answer:

35/17 = 2.06 (to the nearest hundredth)

Answer:

Ronald types 40 words per minute.

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

A prime number is a whole number (bigger than 1) that is divisible only by itself and 1.

The first 6 prime numbers are 2, 3, 5, 7, 11 and 13.

2 + 3 + 5 + 7 + 11 + 13 = 41.

Answer: 41

Step-by-step explanation: We know that the first 6 prime numbers are 2, 3, 5, 7, 11, 13. We add them all and get 41!

x term equals to 60 years

Step-by-step explanation:

Sanji is 3 times older than Mimi

and Mimi's age is 18 years now

that means 3×18=60

Answer:

it would take them 4 days to build the house