What can you say about the graph of the function below? Check all that apply. F(x) = 3⋅(9)

The equivalent operation is: b = (a < 5) ? 12 : (d = 30);

The original if/else statement is:

if (a < 5)

   b = 12;

else

   d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true (i.e., if the value of a is less than 5), then the statement b = 12; is executed. Otherwise, if the condition is false (i.e., if the value of a is greater than or equal to 5), then the statement d = 30; is executed.

The equivalent operation using the conditional (ternary) operator is:

b = (a < 5) ? 12 : d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true, the value 12 is assigned to b. This is indicated by ? in the statement. The : separates the true and false cases.

If the condition is false (i.e., if the value of a is greater than or equal to 5), the value 30 is assigned to d. This is the value assigned after the : in the statement.

The ternary operator statement (a < 5) ? 12 : d = 30; achieves the same outcome as the original if/else statement, providing an alternative way to write the logic based on the condition a < 5.

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Answer:

341÷674+846 is exaclly 846.505934718

Answer:

341/674 +846=846.50

it also may be

\( \frac{341}{674 + 856} \)

341/1530=0.22

Answer:

6x + 35

Step-by-step explanation:

distribute three and five through parenthesis

remove parenthesis

collect like terms

calculate

8x+3(x+5)-5(x-4)

8x+3x+15-5x+20

6x+35

Step-by-step explanation:

Original Equation:

8x+3(x+5)-5(x-4)

Multiply the number behind bracket one(x+5) and bracket two(x-4)

So it's going to be;

8x+3x+15-5x+20

We have +20 because when you multiply two negative numbers it becomes a positive.

So now we will Combine Like Terms

11x+3x-5x+15+20

Then you will add

11x-5x+35

6x+35

So when you are done this will be the final answer will be;

6x+35

The 4 is the number the student thought about.

To solve this problem, we will use algebraic expressions. First, let us define the unknown number, x. The problem states that "4 times my number increased by 30 equals 70 decreased by the number." This can be translated into the following equation:

4x + 30 = 70 - x

To solve for x, we need to isolate it on one side of the equation. Let's start by moving all the terms with x to the left side and all the constant terms to the right side.

4x + x = 70 - 30x + 4x + x = 40

Simplifying, we get:

10x = 40

Dividing both sides by 10:

x = 4

Therefore, the number that the student thought of is 4.

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The is a parallel to b and m is parallel n.

Given that

To find

So, according to the question

We have,

and the value of two angles m∠2 and m∠4.

From diagram we can see a is parallel to b and m is parallel to n.

So, we can say that

   m∠4 = m∠3    { they are vertical congruent angles } and

   m∠3 = m∠2    { they are congruent angles}

∴  m∠4 = m∠2 -------------(1)

Now, putting the values in equation(1)

So, will be get

                m∠4 = m∠2 -------------(1)

              11x+16 = x²+5x

  x²+5x - 11x-16 = 0

         x²- 6x-16 = 0  

    x²-8x+2x-16 = 0  

  x(x-8)+2(x-8) = 0

        (x-8)(x+2) = 0

If               (x+8) = 0

                      x = 8

And if        (x+2) = 0

                      x = -2

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Answer:

516

Step-by-step explanation:

to solve this equation, multiply both sides by 4

a/4 * 4 = 129 * 4

a = 516

Answer:

a= 516

Step-by-step explanation:

a= 129*4

4*129 = 516

Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

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Answer:

140.4

Step-by-step explanation:

Answer:

$141.01 and if it is the nearest whole number it would be $141

Step-by-step explanation:

first you have to do 94 divided by 6. you do this to see how much 1 meal cost.

then you get: 15.67

now you take 15.67x3=47.01

cuz we need 3 more meals. we know this cuz we have 6 and want 9 so 6-9 is 3.

now we take 47.01+94=141.01

we just need to add 3 to the 6 we have to make 9 meals.

so your answer would be $141.01

plz give brainliest!

Answer:

1/4

Step-by-step explanation:

I think that you forgot the addition or the subtraction sign between -4x  and 5.  I will assume that it was an addition sign

3(-4x+5) = 12  Multiply everything in the parentheses by 3

-12x + 15 = 12  Subtract 15 from both sides

-12x = -3  Divide both sides by -12

x = -3/-12 = 3/12 =1/4

When 3 candies are added, we can say that the probability of picking a toffee becomes 2/7. The probability of picking a toffee becomes 2/7.

Vishnu has a box of toffees and candies. The likelihood of selecting a toffee is 1/2. If Vishnu puts 3 candies into the box.

Given that, Vishnu has a box containing toffees and candies.

The probability of picking a toffee is 1/2.When 3 candies are added to the box, we need to find the probability of picking a toffee. Let us suppose, initially, the box has 2 toffees and 2 candies.

The probability of choosing a toffee is 2/4 = 1/2.Now, if 3 candies are added, the number of items in the box would be 2 toffees + 5 candies = 7.The likelihood of picking a toffee would be 2/7.

Therefore, when 3 candies are added, we can say that the probability of picking a toffee becomes 2/7.

The probability of picking a toffee becomes 2/7.

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56 feet is the total distance your cousin swings. This can be solved by using the concept of explicit formula.

From the term of the series, it is simple to get the explicit formula for the arithmetic sequence. For the mathematical series a, a + d, a + 2d, a + 3d,.......a + (n - 1)d, and the nth component in the sequence provides the explicit formula. Consequently, a = a + (n - 1)d serves as the explicit formula for the arithmetic series.

Given that,

You push your younger cousin on a tire swing one time and then allow your cousin to swing freely. On the first swing, your cousin travels a distance of 14 feet.

So, a₁ = 14 feet

the second swing the person travels a distance that is 75% of the first, hence, a₂ = 0.75 a₁

On the third swing it is a₃ = 0.75 a₂

since, a₂ = 0.75 a₁ and a₃ = 0.75 a₂

Now, using explicit formula we find that,

a₂ = 0.75 a₁ = 14 × 0.75

a₃ = 0.75 a₂ = 0.75 × (14 × 0.75) = 14 × (0.75)²

a₄ = 0.75 a₃ = 0.75 × 14 × (0.75)³

Thus, the general formula becomes: a(n) = 14 × (0.75)ⁿ

Now use formula for the Sum of infinite geometric series to calculate the total distance: S = a₁ / (1 - r)

S = 14 / ( 1 - 0.75)

S = 14 / 0.25

S = 56 feet

56 feet is the total distance your cousin swings.

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The purchase value of an office compute

Value= 12350

Anuall depreciation = 1930

Value of computer in 9 years t=9

then we can create the formula

then

after 9 years the value of the computer is

since we have a negative value, the minimum value of the computer is 0

then 3

the value after 9 years of the computer is

$0

New question

V=12780

Depreciation=1947

time = 6 years

in 6 years The value of the computer is 1098

Answer: Line A Is the answer

ANSWER

EXPLANATION

We want to reduce the given fraction to the lowest terms.

To do that, we have to check if we can divide the numerator and denominator by a common factor.

Since 50 and 4 are divisible by 2, we can reduce the fraction:

To write it as a mixed fraction, we want to write it as a mixture of a whole number and a fraction.

To do this, find the greatest multiple of 2 that is less than 25, divide it by 2, and then, write the difference of 25 and the multiple as a numerator.

The greatest multiple of 2 less than 25 is 24. Hence, we have that:

That is the fraction as a mixed number in the lowest terms.

Answer:

E

Step-by-step explanation:

If you substitute values you will see its the same

Answer:

The answer is E

Step-by-step explanation:

The cooking time for Erica's 7-pound roast is 196 minutes.

To determine the cooking time for Erica's 7-pound roast, we can set up a proportion based on the relationship between the weight of the roast and the cooking time.

Let's assume that the cooking time is directly proportional to the weight of the roast. Therefore, the proportion can be set up as follows:

(Weight of 3-pound roast)/(Cooking time for 3-pound roast) = (Weight of 7-pound roast)/(Cooking time for 7-pound roast)

Using the values given in the problem, we can substitute the known values into the proportion:

(3 pounds)/(84 minutes) = (7 pounds)/(x minutes)

To solve for x, we can cross-multiply and then solve for x:

3 * x = 7 * 84

3x = 588

x = 588/3

x = 196

It's important to note that cooking times can vary depending on factors such as the type of oven and desired level of doneness. It is always a good idea to use a meat thermometer to ensure that the roast reaches the desired internal temperature, which is typically around 145°F for medium-rare to 160°F for medium.

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Answer:

an=101+13(n−1)

an+1=an+13, a1=101

Answer:2y>x  or x<2y

x+y < 500

The points satisfying the 2nd inequality is a triangle bordered by the x and y axes and a downward sloping line connecting points (0,500) and (500,0)

the 1st inequality is half a plane, above the line x=2y or a  line through the origin, with slope 1/2

the two overlap in a triangle bordered by the y axis, the line x+y=500 and the line x=2y

It's a triangle with vertices (333 1/3, 166 2/3) (0,500) and the origin (0,0)

Basically

Step-by-step explanation:

Answer:

See attachment

Step-by-step explanation:

y = 4x       [ the amount, y, donated to the Educational Growth Foundation to be at least four times the amount donated to the City Youth Fund, x]

y + 4x ≤ $500

Answer:

add 8 and 7= 4d + 3y + 15

Step-by-step explanation:

trust me :)

a. We must first recognize that f ( x ) = ln ( 5 − x ) is an anti-derivative of a more familiar function. To find this function, we find d d x [ ln ( 5 − x ) ] =d/dx[ln(5 - x)] = -1/(5 - x)

b. Since d d x [ ln ( 5 − x ) ] , ∫ − 1 /5 − x d x = -1/5 ∑ (1/n+1) * (x/5)^(n+1) + C

c.  Factor -1 from the numerator and 5 from the denominator. This will give us − 1/5 − x = − 1/5 (x - 5) .

d. Therefore, we get − 1 5 − x = − 1 5 [infinity] ∑ n = 0 (x - 5)/5 n .

e. After the integrating the power series, we have C − 1/5 [infinity] ∑ n = 0   [x^(n+1)/(5^n * (n+1))]

f.  In order to find C , we let x = 0 and get f ( 0 ) = ln (5 - x)  = C − 1/5 ∑ [x^(n+1)/(5^n * (n+1))] , and so C = ln(5 - x) = ln(5) - 1/5 ∑ [x^(n+1)/(5^n * (n+1))]

g. Now, f ( x ) = ln ( 5 − x ) = ln 5 − [infinity] ∑ n = 1 [x^(n+1)/(5^n * (n+1))]

h. The series converges for |x - 5| < 5, and the radius of convergence is R = 5.

To find a power series representation for f(x) = ln(5 - x), we start by recognizing that f(x) = ln(5 - x) is an anti-derivative of the function 1/(5 - x). We can find this function by taking the derivative of ln(5 - x):

d/dx[ln(5 - x)] = -1/(5 - x)

Now, we aim to find a power series for -1/(5 - x) and then integrate it. To do this, we can factor out -1/5 from the numerator and write -1/(5 - x) as:

-1/(5 - x) = -1/5 ∞ ∑ n = 0 ((x - 5)/5)^n

Now, we can write ln(5 - x) as an integral of the power series:

ln(5 - x) = -1/5 ∫ [ ∞ ∑ n = 0 ((x - 5)/5)^n ] dx

Integrating the power series term by term, we get:

ln(5 - x) = C - 1/5 ∑ [x^(n+1)/(5^n * (n+1))]

To determine the constant C, we can evaluate ln(5 - 0):

ln(5) = C - 1/5 ∑ [0^(n+1)/(5^n * (n+1))]

Simplifying, we have:

ln(5) = C

Therefore, C = ln(5). Substituting this back into the power series representation, we have:

ln(5 - x) = ln(5) - 1/5 ∑ [x^(n+1)/(5^n * (n+1))]

This power series representation converges for |x - 5|/5 < 1, which simplifies to |x - 5| < 5. Therefore, the radius of convergence, R, is 5.

In summary, the power series representation for f(x) = ln(5 - x) is:

ln(5 - x) = ln(5) - 1/5 ∑ [x^(n+1)/(5^n * (n+1))]

The series converges for |x - 5| < 5, and the radius of convergence is R = 5.

Your question is incomplete but most probably your full question attached below

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Answer:

Step-by-step explanation:

1. use the slope formula --> (y2-y1)/(x2-x1)

2. (8 - 4)/(13 -(-3))

3. 4/16

4. m = 1/4

grad(f) = (3x/(x²+y²+z²)) i + (3y/(x²+y²+z²)) j + (3z/(x²+y²+z² )) k This vector field has a magnitude that is inversely proportional to the distance from the origin.

A function's gradient vector field is a vector field that points in the direction of the function's maximum rate of change at every point in space. The following is a definition of the gradient vector field for a scalar function f(x, y, z):

grad(f) is equal to (f/x) i, (f/y) j, and (f/z) k, where i, j, and k are the unit vectors in the respective x, y, and z directions.

To find the inclination vector field of f(x, y, z) = 3√(x²+y²+z²), we want to take the halfway subordinates of f as for x, y, and z, and afterward structure the slope vector field utilizing the above condition.

The gradient vector field of f is, therefore, as follows: f/x = 3/2 * (2x)/(x²+y²+z²) = 3x/(x²+y²+z²); f/y = 3/2 * (2y)/(x²+y²+z²) = 3y/(x²+y²+z²); f/z = 3/2 * (2z)/(x²+y²+z²);

grad(f) = (3x/(x²+y²+z²)) i + (3y/(x²+y²+z²)) j + (3z/(x²+y²+z² )) k This vector field has a magnitude that is inversely proportional to the distance from the origin.

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A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

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We would expect about 1683 tires to last more than 28,000 km.

We can solve this problem by using the normal distribution and the z-score formula.

First, we need to calculate the z-score for a tire that lasts more than 28,000 km:

z = (28000 - 30000) / 2000 = -1

This means that a tire with a lifespan of 28,000 km is 1 standard deviation below the mean.

Next, we need to find the probability of a tire lasting more than 28,000 km. We can use a standard normal distribution table or a calculator to find this probability.

The probability of a standard normal variable being less than -1 is about 0.1587. Therefore, the probability of a tire lasting more than 28,000 km is about:

P(X > 28000) = 1 - P(X <= 28000)

P(X > 28000) = 1 - 0.1587

P(X > 28000) = 0.8413

This means that about 84.13% of the tires would be expected to last more than 28,000 km. To find the expected number of tires that would last more than 28,000 km, we can multiply this probability by the total number of tires:

Expected number of tires = 0.8413 x 2000

Expected number of tires = 1682.6

Rounding this to the nearest whole number, we would expect about 1683 tires to last more than 28,000 km.

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Answer:

hi

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.

nth term of an AP is a1 + d(n - 1)

6th term = 6 + 7(6 - 1)

= 6 + 35

= 41.

15th term

= 6 + 7(15-1)

= 6 + 98

= 104.

2.

12th term :

3 + d(12-1) = -41

11d = -44

d =-4

So,

20th term = 3 + -4* 19

= -73

3.

8 A B C D 38 44 50

d = (38 - 8) / 5

= 6

So, A B C D = 14, 20 , 26  32.

4.

a1 = 8 and d = -6

8 - 6(n - 1) = -82

8 - 6n + 6 = -82

-6n = -96

n = 16

It has 16 terms.

Answer:

66

Step-by-step explanation: