4x - 7y + z - 4 how many terms does the following expression have?

Answer: y is all real numbers

Step-by-step explanation:

Let's begin by finding the derivative of f(x) = 16/x using the definition:

f(x + h) - f(x)

  h

= [16/(x+h)] - [16/x] / h

= (16x - 16(x+h)) / (x(x+h)h)

= (-16h) / (x(x+h)h)

= -16 / x^2 + xh

Now, we can find f'(-2), f'(0), and f'(5) by plugging in the corresponding values for x:

f'(-2) = lim h→0 [-16 / (-2)^2 + (-2h)] = lim h→0 [16 / 4 + 2h] = 4

f'(0) = lim h→0 [-16 / (0)^2 + 0h] does not exist as the denominator would be zero.

f'(5) = lim h→0 [-16 / (5)^2 + 5h] = lim h→0 [-16 / 25 + h] = -16/25

Learn more about derivative here:

https://brainly.com/question/8791755

#SPJ11

Answer:

x = 19° ; Write 19° in the box ( don't forgot ° or answer will be incorrect )

Step-by-step explanation:

If XW ║YZ, we can tell that YW is a transversal, as YW ∩ XW, YX;

By alternate interior angles, ∠ ZYW ≅ ∠ YWX, so that ⇒

m∠ ZYW = m∠ YWX,

m∠ YWX = 2x, ⇒ given m∠ ZYW = 2x

By ∑ of angles in triangle Theorem;

m∠ YXW + m∠ XYM + m∠ YWZ = 180° ⇒ through substitution,

( 3x - 5 ) + 90 + ( 2x ) = 180 ⇒ now apply algebra,

3x - 5 + 90 + 2x = 180 ⇒ combine like terms,

3x + 2x - 5 + 90 = 180 ⇒ add,

5x + 85 = 180 ⇒ subtract 85 from either side of equation,

5x = 95, divide 5 on either side,

x = 19°

Solution; x = 19°

The closest solution to this total among the available possibilities is 0.68, indicating that the portfolio is likely to surpass its benchmark in three or fewer quarters over the course of a year.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.

Here,

The probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is the sum of the probabilities of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters.

Since the probability of outperforming the benchmark in any quarter is 0.75, the probability of not outperforming the benchmark in a quarter is 1 - 0.75 = 0.25.

The probability of not outperforming the benchmark in exactly 0 quarters is 0.25⁰ = 1

The probability of not outperforming the benchmark in exactly 1 quarter is 0.25¹= 0.25

The probability of not outperforming the benchmark in exactly 2 quarters is 0.25² = 0.0625

The probability of not outperforming the benchmark in exactly 3 quarters is 0.25³ = 0.015625

So, the probability of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters is 1 - 0.25⁰, 1 - 0.25¹, 1 - 0.25², and 1 - 0.25³, respectively.

The sum of these probabilities is the probability of outperforming the benchmark in three or fewer quarters over the course of a year:

P(outperform in three or fewer quarters) = 1 - 0.25⁰ + 1 - 0.25¹ + 1 - 0.25² + 1 - 0.25³

This expression can be calculated to get an exact answer, but to get the closest answer to the options given, we can round off the intermediate results to 2 decimal places:

P(outperform in three or fewer quarters) = 1 + 0.75 + 0.94 + 0.98

The closest answer to this sum among the options given is 0.68, so the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to 0.68.

To know more about probability,

https://brainly.com/question/30034780

#SPJ4

Answer: Ellie bought 25 robots.

Step-by-step explanation:

7=5

14=10

21=15

28=20

35=25

The required fraction is 1123/20.

To find the fraction with an integer numerator and denominator whose decimal expansion starts with 0.11235 ..., we will use the following approach.

1) Consider the first few digits of the decimal expansion. The fraction should be greater than 0.1123 and less than 0.1124.

The decimal fraction lies between `0.1123` and `0.1124`. So, the numerator will be between the range of `(0.1123 × 100) ≈ 11.23` and `(0.1124 × 100) ≈ 11.24`. Hence, the numerator can be `1124`, or `1123`.

2) Multiply the decimal expansion by 1000 and remove the integer part. This gives us a 3-digit number to work with.

Now, `(0.11235 × 1000) ≈ 112.35`.3) We need to find the denominator of the fraction now. We can see that the first three digits of the resulting number are the numerator of the fraction. To find the denominator, we need to look at the remaining digits. The remaining digits are `35`.So, the denominator is a number that is divisible by 5 and is less than 100. So, we can see that the denominator is `100 ÷ 5 = 20`.

Therefore, the fraction is `1123/20`.

To learn more about decimal expansion: https://brainly.com/question/26301999

#SPJ11

Answer:

5 over 7, 7 over 9

Step-by-step explanation:

Answer:

5/7 and 7/9

Step-by-step explanation:

Answer:

Acute and Equilateral

Step-by-step explanation:

The little dashes on the sides indicate congruent sides

Each side has a singular dash meaning that all the sides are congruent. If all the sides are congruent then all of the angles are congruent

The angles in an equilateral triangle are 60

An acute triangle angles are all less than 90

All of the angles in a equilateral triangle are less than 90 therefore this is an equilateral acute triangle

Answer:

acute equilateral

Step-by-step explanation:

According to the statement the distance from the plane to the top of the larger sphere is 3 + 2 = 5 units.

The distance from the plane to the top of the larger sphere can be found by considering the arrangement of the spheres.

We have three smaller spheres of radius 1 that are mutually tangent to each other and the plane.

On top of them, there is a larger sphere of radius 2.
Let's denote the distance from the plane to the center of the larger sphere as h.

Since the spheres are tangent to each other, the distance from the plane to the top of the larger sphere will be equal to the sum of the radii of the smaller spheres (3 x 1 = 3) plus the radius of the larger sphere (2).
Therefore, the distance from the plane to the top of the larger sphere is 3 + 2 = 5 units.

To know more about tangent visit :

https://brainly.com/question/10053881

#SPJ11

Answer:

To determine the number of sheets of cardboard in a stack, we need to use the information given in the problem.

We know that each sheet of cardboard is 1 inch thick, and 16 sheets are stacked on top of each other in packages. The height of each stack is 21 inches.

Using the model of a ruler, we can divide the height of the stack (21 inches) by the thickness of each sheet (1 inch) to find the number of sheets in the stack.

21 ÷ 1 = 21

So, there are 21 sheets of cardboard in a stack.

To write an expression that can be used to determine the number of sheets of cardboard in a stack, we can use:

Number of sheets = height of stack ÷ thickness of each sheet

Or, substituting the given values: Number of sheets = 21 ÷ 1 = 21

This expression is simply a representation of the model we used earlier. It shows that we can determine the number of sheets in a stack by dividing the height of the stack by the thickness of each sheet. In this case, the expression yields the same result as the model, which is 21 sheets.

Answer:

y km = (x+2)y km

Step-by-step explanation:

Given that,

A car covers (x+2) kilometre in 1 litre.

We need to find the distance it will cover in y litres.

1 litre = (x+2) km

y km = (x+2)y km

Hence, it will cover (x+2)y km in y litres.

You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

The CHARINDEX() function is defined as returning the substring's location within the given string. Like the SUBSTRING function, it operates in reverse.

⇒ Syntax of CHARINDEX() function is CHARINDEX (substring, input_string)

Substring: Here, we specify the substring within the input string that we wish to look for. A maximum of 8000 characters may be used in this argument.

Input_string: The input string is defined in this argument.

Therefore, You would use the CHARINDEX string function to locate the index of the first character of the first occurrence of a substring within another string.

Learn more about the CHARINDEX function here:

https://brainly.com/question/12959116

#SPJ4

Answer:

2 < x

Step-by-step explanation:

7-2(x+2)<-4-3(1 - x)

Distribute

7 - 2x-4 < -4 -3 +3x

Combine like terms

3 -2x < -7 +3x

Add 2x to each side

3-2x +2x< -7+3x+2x

3< -7+5x

Add 7 to each side

3+7 <-7+7+5x

10 <5x

Divide each side by 5

10/5 <5x/5

2 < x

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

The true statement is (b) the random variable is x, the possible values are 0 to 3 and the values are numerical

The table is added as an attachment

From the attached image, we have:

Number of girls (x)          P(x)

0                                         0.125

1                                         0.375

2                                         0.375

3                                         0.125

In the above, the random variable is x, while P(x) represents its probabilities.

Also, the possible values are 0 to 3 as shown in the table.

0 to 3 are numerical digits, and the values are numerical

Hence, the true statement is (b)

Read more about random variables at:

https://brainly.com/question/15246027

#SPJ12

Answer:

  bbb

Step-by-step explanation:

bbb  idk sorry x

Answer:

the first option is the answer

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

No because the dot is not in the area where BOTH red AND blue cover. It is only in the red area, not in BOTH red AND blue.

The square inches of paper Ray needs are equal to the area of the sides he wants to cover.

The area of an object refers to the surface or space occupied by the object.

In this situation calculating the area is essential because by doing this, Ray can know how much paper he needs.

Different formulas can be used to calculate the area depending on the shape of the object.

Rectangle: Side x side

Triangle: 1/2 base x height

Circle: πr2

This means to know the exact answer, Ray needs to calculate the area of the sides he wants to cover and this is equal to the paper he needs to buy.

Note: This question is incomplete because the picture was not attached. Due to this, I answered it based on general knowledge

Learn more about the area of a rectangular pyramid on https://brainly.com/question/27270944

#SPJ1

To determine the value of b in the expression x^2b(x - 7)^2, we can compare it with the given equivalent expression x^2b49. By equating the two expressions, we can solve for b.

In the given expression x^2b(x - 7)^2, we can simplify it by multiplying the exponents:

x^2 * b * (x - 7)^2 = x^2b(x^2 - 14x + 49)

Comparing this with the equivalent expression x^2b49, we can equate the coefficients of the like terms:

x^2b(x^2 - 14x + 49) = x^2b49

From this equation, we can see that the coefficient of the x term is -14b. For it to be equivalent to 49, we have:

-14b = 49

Solving for b, we divide both sides by -14:

b = -49/14 = -7/2

Therefore, the value of b is -7/2.

To know more about algebraic expressions  click here: brainly.com/question/28884894

#SPJ11

Answer:

1 1/2 miles

Step-by-step explanation:

(aka option A on edge)

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:

Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).

Let's assume we have a 2x2 matrix A:

  | a  b |

A = | c d |

To find the eigenvalues, we need to calculate the characteristic equation:

det(A - λI) = 0,

where I is the 2x2 identity matrix and λ is the eigenvalue.

A - λI = | a-λ b |

| c d-λ |

The determinant of this matrix is:

(a-λ)(d-λ) - bc = 0,

which simplifies to:

λ² - (a+d)λ + (ad - bc) = 0.

This quadratic equation gives us the eigenvalues.

Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.

Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.

For each eigenvalue, set up the homogeneous system of equations:

(A - λI)v = 0,

where v is the eigenvector.

Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.

To know more about eigenvalues, visit

https://brainly.com/question/29861415

#SPJ11

Answer:

900

Step-by-step explanation:

3*300=900

Answer:

3 x 300=900

brainly me pls

Answer: 1. 33 , 2. 21 , 3. $5.00 , 4. 39.

Step-by-step explanation:

4. Let the original number of baseball trading cards in Tim's possession be

x

An equation to arrive at the number will be:

x

+

9

2

=

24

This is because half the collection AFTER adding

9

new cards is

24

(the other half was eaten by his dog).

Multiply both sides by

2

.

x

+

9

=

48

Subtract

9

from both sides.

x

=

39

The expression for the isothermal compressibility (κT) is A. −P/nRT

The isothermal compressibility (κT) is defined as κT = -V⁻¹ (∂P/∂V)T, where V is the volume, P is the pressure, n is the number of moles, R is the ideal gas constant, and T is the temperature.

To find the expression for κT, we start with the ideal gas equation, PV = nRT, and differentiate it partially with respect to V at constant temperature (T):

∂/∂V (PV) = ∂/∂V (nRT)

P (∂V/∂V) + V (∂P/∂V) = 0

P + V (∂P/∂V) = 0

V (∂P/∂V) = -P

Taking the reciprocal of both sides:

1/(V (∂P/∂V)) = -1/P

Thus, κT = -V⁻¹ (∂P/∂V)T = -P/nRT.

Therefore, the correct expression for the isothermal compressibility (κT) is A. −P/nRT.

For more questions like Expression click the link below:

https://brainly.com/question/29583350

#SPJ11

C.) Y = 125000(1.035)x

Step-by-step explanation:

I took the test and got it right