What is this ? x<-2 .....HELP please ! ( sorry if the picture is blurry)

Answer:

15

Step-by-step explanation:

anything that is a variable is automatically one

4+1=5

5 x 3=15

Answer:

-7

-3

28

-3

-6

-20

-6

-42

6

15

Answer:

B

Step-by-step explanation:

The equivalent expression is \(16x^{8}\). So, the correct option is B.

Given:

The given expression is:

\(4x^2\sqrt{5x^4}3\sqrt{5x^8},x\neq 0\)

To find:

The equivalent expression.

Explanation:

We have,

\(4x^2\sqrt{5x^4}3\sqrt{5x^8}\)

On simplification, we get

\(=4x^2(x^2\sqrt{5})3(x^4\sqrt{5})\)

\(=(4\times 3)(x^{2+2+4})(\sqrt{5}\times \sqrt{5})\)

\(=12(x^{8})(5)\)

\(=16x^{8}\)

Therefore, the correct option is B.

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Answer:

x= -1.8

Step-by-step explanation:

4x-22=9x+2(1-4x)

2(1 - 4x)

so you have to distribute

new equation

4x-22=9x+2-8x

you combine like terms on the right

9x + 2 -8

+8. +8

17x+2

new equation

4x-22=17x+2

-4x. -4x

-22=13x + 2

-2. -2

-24=13x

-24÷13= - 1.8

X= -1.8

Answer:

\(4x - 22 = 9x + 2 - 4x \\ - x = 24 \\ x = - 24\)

Answer:

D. none of the above

Step-by-step explanation:

If g(x)=8 is the only equation, then none of the answers are correct. The correct answer would have been 8 because 8=8.

The number of candy bars sold, x, is equal to 8 candy bars.

The number of bags of chips sold, y, is equal to 12 chips.

In order to write a linear equation to describe this situation, we would assign variables to the number of bags of chips sold and the number of candy bars sold respectively, and then translate the word problem into a linear equation as follows:

Since the price of each candy bar is $1 and the price of each bag of chips is $2, and he made $32 from selling a total of 20 candy bars and bags of chips, a system of linear equations to describe this situation can be written as follows;

x + y = 20

x + 2y = 32

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Evaluating Expressions-

z−5+ x= -7

x = 1, and z = -3

z−5+ x=-3 + (-5) + 1

          = -3-5+1=-7

to assess an algebraic expression way to find the price of the expression while the variable is changed by using a given range.

to evaluating expression, we replacement the given range for the variable within the expression and then simplify the expression the use of the order of operations

What does “Evaluating Expressions” suggest?

Simplification of expressions can be performed with the help of operations’ order. It consists of changing the variable to discover the expression’s fee. The given number is substituted to evaluate expressions. After this, one needs to simplify it primarily based at the order of the operations

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Answer:

15 + 4 x

Step-by-step explanation:

multiple all

then answer is

=15 + 4x

Answer:

not possible or not determined is answer

Step-by-step explanation:

because let his father be 33

ad his son be 17

15 years ago

son will be 2

and father will be 18

not possible father's age ≠son's age in any respect unless and until father's age is decreased

Answer:

127

Step-by-step explanation:

6m+65=2m+57

-2          -2

4m+65=57

     -65  -65

4m=-8

divide by 4 on both sides

m=-2

plug in the 2

6(-2)+65=53

a line =180

180-53=127

Step-by-step explanation:

1/5×80=80/5=16 because 1/5 out of 80 means to multiply 1/5 by 8o so the answer to that question is 16.

48÷1/2=48×2/1=96/1=96 because when you divide a fraction by fraction or a fraction with a number there is a rule that says you have to reverse the fraction on the right side and replace the division sign to a multiply sign and multiply. so the answer becomes 482)×2/1 which equals 96.

Jessica has 5 cupcake cases left.

First, divide 50 into groups of five. Next, subtract two groups of five from 50. Third, divide the remaining cases into groups of six. Finally, subtract 5 groups of six from the remains from the last subtraction equation.

The number of cupcake cases that Janissa has left will be 5.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Janissa bought 50 cupcake cases for baking.

She used 2/5 of the cases to bake vanilla cupcakes. Then the number of vanilla cupcakes will be

⇒ 50 x 2 / 5

⇒ 20 vanilla cupcakes

Then the remaining cupcake cases will be

⇒ 50 - 20

⇒ 30 cupcake cases

She then used 5/6 of the remaining cases to bake chocolate cupcakes. Then the number of chocolate cupcakes will be

⇒ 30 x 5 / 6

⇒ 25 chocolate cupcakes

Then the remaining cupcake cases will be

⇒ 30 - 25

⇒ 5 cupcake cases

Then the number of cupcake cases that Janissa has left will be 5.

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Rotate R and reflect 90

Step-by-step explanation:

Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,

for a total of $95. We can set up the following equation to represent this information:

35 + 15x = 95

Solving for x, we get:

15x = 60

x = 4

Therefore, Gabriella skied for 6 hours.

Here is a more detailed explanation of how to solve the equation:

Subtract $35 from both sides of the equation.

15x = 60

15x - 35 = 60 - 35

15x = 25

Divide both sides of the equation by 15.

15x = 25

x = 25 / 15

x = 4

Therefore, x is equal to 4, which is the number of hours that Gabriella skied.

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The height of the pile is increasing at a rate of approximately 0.056 feet per minute when the pile is 12 feet high.

We are given that sand is falling off at a rate of 14 cubic feet per minute, and the diameter of the base of the cone is approximately three times the altitude. Let h be the height of the pile at a given time t, then we can write the volume of the cone as V = (1/3)πr^2h, where r is the radius of the base of the cone. Since the diameter is three times the altitude, we have r = 3h/2.

Taking the derivative of the volume with respect to time, we get dV/dt = (1/3)π(9h^2/4)(dh/dt). Plugging in the given values, we get:

14 = (1/3)π(9h^2/4)(dh/dt)

Simplifying, we get:

dh/dt = 56/(3πh^2)

When the height of the pile is 12 feet, the rate of change of the height of the pile is:

dh/dt = 56/(3π(12)^2) ≈ 0.056 ft/min.

Therefore, the height of the pile is changing at a rate of approximately 0.056 ft/min when the pile is 12 feet high.

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The expressions that could be equivalent to x^2+bx-36 where b is negative is option 1: (x + 3)(x - 12) and option 5: (x - 9)(x + 4).

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is - x² + bx - 36

The first expression is - (x + 3)(x - 12)

Solve using the multiplication property -

= (x + 3)(x – 12)

= x(x - 12) + 3(x - 12)

= x² - 12x + 3x - 36

= x² - 9x - 36

The second expression is - (x - 2)(x + 18)

Solve using the multiplication property -

= (x - 2)(x + 18)

= x(x + 18) - 2(x + 18)

= x² + 18x - 2x - 36

= x² + 16x - 36

The third expression is - (x - 13)(x - 3)

Solve using the multiplication property -

= (x - 13)(x - 3)

= x(x - 3) - 13(x - 3)

= x² - 3x - 13x + 39

= x² - 16x + 39

The fourth expression is - (x + 4)(x + 9)

Solve using the multiplication property -

= (x + 4)(x + 9)

= x(x + 9) + 4(x + 9)

= x² + 9x + 4x + 36

= x² + 13x + 36

The fifth expression is - (x - 9)(x + 4)

Solve using the multiplication property -

= (x - 9)(x + 4)

= x(x + 4) - 9(x + 4)

= x² + 4x - 9x - 36

= x² - 5x - 36

Therefore, the choices for b being negative is x² - 5x - 36, and x² - 9x - 36.

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Select all expressions that could be equivalent to x^2+bx-36 where b is negative.

(x + 3)(x - 12)

(x - 2)(x + 18)

(x - 13)(x - 3)

(x + 4)(x + 9)

(x - 9)(x + 4)

D(t)= 6sin (pi/5t) + 10

General form:

y = A sin (Bx +C) +D

Where:

A = amplitude

D= vertical shift

C = phase shift B= period

For the given function:

Amplitude = 6

Phase shift = 10

The bottom graphs are Cosine functions, so they are not.

Among the top ones, The first one has an amplitude of 6 and the second one has an amplitude of 3 .

Correct answer:

The number of bags of fiber stuffing needed to fill the cones is 52 bags.

Given:

Height (h) = 10 inches

Radius (r) = 4 inches

To calculate the number of bags of fiber stuffing needed to fill the ice cream cones, we first need to calculate the volume of a single cone ( cone + hemisphere) using its height and radius.

The volume of a cone can be calculated using the formula:

= (1/3) πr²h

The volume of a hemisphere can be calculated using the formula:

= (2/3) πr³

Substituting these values into the formula, we can find the volume of a single cone:

V = (1/3) π × 4² × 10 + (2/3)π × 4³

V = 167.5 + 134.04

V = 301.54

V ≈ 167.5516 cubic inches (rounded to 4 decimal places)

Now, to determine the number of bags of fiber stuffing needed, we divide the total volume of the cones by the volume that can be filled by a single bag of fiber stuffing:

Number of bags = Total volume of cones / Volume filled by a single bag

Total volume of cones = Volume of a single cone x Number of cones

Total volume of cones = 167.5516 cubic inches x 125 cones

Total volume of cones ≈ 37692.66 cubic inches (rounded to 2 decimal places)

Number of bags = 37692.66 cubic inches / 720 cubic inches (per bag)

Number of bags ≈ 52 (rounded to nearest whole number)

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Answer:

a function is like f(X)=2x+6 where X can be anything , you just substitute in the number u have been given

Step-by-step explanation:

other examples could include

f(X)=X+1

or they can start with

g(X)=3x+7

h(X)=4-3x

and there are inverse functions witch can be found be rearranging the function

example if substituteing a function

if

f(X)= 2x+1

f(3)=2(3)+1

f(3)=6+1=7

Hope this helps

Given:

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

To find:

The probability of both events occurring, in that order.

Solution:

If A and B are two independent events, then

\(P(A\cap B)=P(A)\cdot P(B)\)

It is given that,

The probability for success of an event is P(A)

The probability of success of a second, independent event is P(B).

Since A and B both are independent event and we need to find the probability of both events occurring, in that order, i.e., \(P(A\cap B)\), therefore \(P(A\cap B)=P(A)\cdot P(B)\).

Hence, the correct option is A.

There is a relative minimum at (0, 0), and there are no relative maxima or saddle points.

To find the relative maximum, relative minimum, and saddle points of the function f(x, y) = 72y\(^2\)+ x\(^2\) - x\(^2y\), we need to calculate its critical points and determine their nature using the second partial derivative test.

First, we find the partial derivatives of f(x, y) with respect to x and y:

∂f/∂x = 2x - 2xy

∂f/∂y = 144y - x\(^2\)

Setting these partial derivatives equal to zero and solving the resulting system of equations:

2x - 2xy = 0     ...(1)

144y - x\(^2\) = 0    ...(2)

From equation (1), we can factor out 2x to get:

2x(1 - y) = 0

This equation is satisfied when x = 0 or y = 1.

From equation (2), we can solve for y in terms of x:

144y = x\(^2\)

y = x\(^2\)/144

Substituting y = x\(^2\)/144 into equation (1), we find the corresponding x-values:

2x - 2x(x\(^2\)/144) = 0

2x - (2x\(^3\))/144 = 0

2x - x\(^3\)/72 = 0

144x - x\(^3\) = 0

x(144 - x\(^2\)) = 0

This equation is satisfied when x = 0 or x = ±12.

Now we have the critical points: (0, 0), (12, 12), and (-12, 12).

To determine the nature of these critical points, we need to calculate the second partial derivatives:

∂²f/∂x² = 2 - 2y

∂²f/∂y² = 144

∂²f/∂x∂y = -2x

Using the second partial derivative test:

1. At (0, 0):

  ∂²f/∂x² = 2 - 2(0) = 2 > 0, and ∂²f/∂y² = 144 > 0

  Since ∂²f/∂x² > 0 and the determinant (∂²f/∂x²)(∂²f/∂y²) - (∂²f/∂x∂y)² = 2 * 144 - (0)² = 288 > 0, (0, 0) is a relative minimum.

2. At (12, 12):

  ∂²f/∂x² = 2 - 2(12) = -22 < 0, and ∂²f/∂y² = 144 > 0

  Since ∂²f/∂x² < 0, (12, 12) is not a relative extremum.

3. At (-12, 12):

  ∂²f/∂x² = 2 - 2(12) = -22 < 0, and ∂²f/∂y² = 144 > 0

  Since ∂²f/∂x² < 0, (-12, 12) is not a relative extremum.

Therefore, the answers are:

- Relative maximum: There are no relative maxima.

- Relative minimum: There is a relative minimum at (0, 0).

- Saddle points: There are no saddle points.

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Answer:7 21/100

Step-by-step explanation: We will covert 7.21 into a fraction. .21 = 21/100. Since 21 can only be divided by 3 and 7, the simplest form of 21/100 is 21/100. So, the mixed number is 7 and 21/100

Answer:

7 and 21/100

Step-by-step explanation:

Since .01 is 1/100, 7.21 will be 7 and 21/100. There is no way to further simplify this, therefore, it is our final answer. Hope this helps! :)

Answer:

Step-by-step explanation:B

Answer:

Step-by-step explanation:

Number of people 41 - 50 who read DIY books = 69

Total number of people = 750

% reading DIY = (69/750) * 100 = 9.2%

a) The probability that all three people have type B blood is 0.000512 or 0.0512%.

b) The probability that none of the three people have type B blood is 0.999488 or 99.9488%.

c) The probability that at least one of the three people has type B blood is 0.000512 or 0.0512%.

a) To find the probability that all three people have type B blood, we multiply the individual probabilities together since the events are independent.

P(all three have type B blood) = P(B) * P(B) * P(B) = (0.08) * (0.08) * (0.08) = 0.000512

So, the probability that all three people have type B blood is 0.000512 or 0.0512%.

b) To find the probability that none of the three people have type B blood, we subtract the probability of at least one person having type B blood from 1.

P(none have type B blood) = 1 - P(at least one has type B blood)

Since the complement rule states that P(A') = 1 - P(A), we can rewrite the probability as:

P(none have type B blood) = 1 - P(B) * P(B) * P(B) = 1 - 0.000512 = 0.999488

So, the probability that none of the three people have type B blood is 0.999488 or 99.9488%.

c) To find the probability that at least one of the three people has type B blood, we can subtract the probability of none of them having type B blood from 1.

P(at least one has type B blood) = 1 - P(none have type B blood) = 1 - 0.999488 = 0.000512

So, the probability that at least one of the three people has type B blood is 0.000512 or 0.0512%.

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Answer:

The annual total cost is $135 when he purchases 17 books

Step-by-step explanation:

Given function is:

C(b) = 5b + 50

Here c is the output which is cost and b is the input which is number of books purchased in an year.

In order to find the total cost when he purchases 17 books, we have to put 17 in place of b and find the cost.

So,

Putting b = 17

\(C(17) = 5(17) + 50\\= 85+50 = 135\)

Hence,

The annual total cost is $135 when he purchases 17 books

The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.

The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.

To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.

The modified code for binary search in descending order would look like this:

public static int binarysearch2(int[] list, int key) {

   int low = 0;

   int high = list.length - 1;

   while (high >= low) {

       int mid = (low + high) / 2;

       if (key > list[mid])

           high = mid - 1;

       else if (key < list[mid])

           low = mid + 1;

       else

           return mid;

   }

   return -1; // Not found

}

By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.

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Answer:

b

Step-by-step explanation:

point B has coordinates (0, 0 ) which is the origin

The area of the rectangular farm is 197,600 square meters.

Let's assume the breadth of the rectangular farm is x meters. According to the given information, the length of the farm is 140 meters longer than its breadth, so the length would be (x + 140) meters.

The perimeter of a rectangle is given by the formula P = 2(length + breadth). We can set up the equation as follows:

2(length + breadth) = 1800

Substituting the values, we get:

2((x + 140) + x) = 1800

Simplifying the equation:

2(2x + 140) = 1800

4x + 280 = 1800

4x = 1800 - 280

4x = 1520

x = 1520 / 4

x = 380

Therefore, the breadth of the farm is 380 meters.

Using this value, we can find the length:

Length = x + 140 = 380 + 140 = 520 meters.

The area of a rectangle is given by the formula A = length * breadth. Substituting the values, we have:

Area = 520 * 380 = 197,600 square meters.

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