Evaluate the expression when b= 2 and c = -2 -b+2c

The equation of a line with slope 5 and passing through point (-8, -44) is y = 5x - 4, written in slope-intercept form, y = mx + b.

The slope of a line is represented by the letter m.

We know that the slope of the line is equal to 5 and that it passes through the point (-8, -44).

So, the equation of a line with slope 5 and passing through point (-8, -44) can be found by using the slope-intercept form of a line: y = mx + b.

In the slope-intercept form, m represents the slope, and b represents the y-intercept.

To find the y-intercept, we can use the point-slope formula, which is:\(y − y₁ = m(x − x₁)\)where (x₁, y₁) is the point (-8, -44).

Substituting the values in the formula, we get:\(y - (-44) = 5(x - (-8))y + 44 = 5(x + 8)y + 44 = 5x + 40y = 5x + 40 - 44y = 5x - 4.\)

Therefore, the equation of the line with slope = 5 and passing through (-8, -44) in slope-intercept form is \(y = 5x - 4\).The  answer is:\(y = x - 4.\)

The conclusion is that the equation of a line with slope 5 and passing through point (-8, -44) is \(y = 5x - 4,\)written in slope-intercept form,\(y = mx + b.\)

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Answer:

7 ( 2x + 3y - z)

Step-by-step explanation:

To factor this expression, you need to find the GCF, which is 7.

7 ( 2x + 3y - z)

Answer:

7(2x+3y-z)

Step-by-step explanation:

You have to factor by graphing !

Answer:

-12

Step-by-step explanation:

3q-6=x q=-2

(3(-2))-6

-6-6=x

-12=x

The total derivative of a function is not necessarily one-to-one. The total derivative represents the change in a function with respect to all of its input variables.

If a function has multiple input variables, the total derivative is a matrix, called the Jacobian matrix, whose entries represent the partial derivatives of the function with respect to each input variable.

A function with a non-invertible Jacobian matrix is not one-to-one, since multiple input values can result in the same output value. For example, consider the function f(x,y) = (x^2, y^2). The total derivative of f is given by the Jacobian matrix:

| 2x 0 |

| 0 2y|

This matrix is non-invertible when x=0 or y=0, since it has a determinant of zero. Thus, the function f is not one-to-one when x=0 or y=0.

In terms of polynomials, the total derivative is important for determining whether a polynomial has multiple roots. A root of a polynomial is a value of the input variable that causes the polynomial to equal zero. If a polynomial has multiple roots, it is not one-to-one, since different input values can result in the same output value.

The total derivative of a polynomial can be computed using the power rule of differentiation. For example, consider the polynomial p(x) = x^3 - 6x^2 + 11x - 6. The total derivative of p with respect to x is:

p'(x) = 3x^2 - 12x + 11

If p'(x) has multiple roots, then p(x) has multiple roots as well. In this case, p'(x) has roots at x=1 and x=11/3, so p(x) has multiple roots at x=1 and x=3. Thus, the total derivative is useful for identifying when a polynomial is not one-to-one.

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Is total derivative  is one-to-one? explain the significance of this result in terms of the derivative on polynomials.

Based on the tables given and the functions represented, the two functions that are inverses of each other are Tables 3 and 4.

When two functions are said to be inverses of each other, it means that the value of x is one is the corresponding value of y in the other function.

For instance, when the point is (5, 16) in one function, the other function's point would be (16,5).

The functions that are inverses are therefore Tables 3 and 4 as shown attached.

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The power series expansion of 67 - x with centre c = 0 is: 67 - x = ∑n=0∞ (11 - 0ⁿ)(x - 0)ⁿ = ∑n=0∞ 11xⁿ.

Using the equation:

For |x| 1, 11 x = n=0 xn

In a power series with centre c = 0, we want to expand 67 - x using this expression.

To accomplish this, 67 - x must be rewritten as a function of (x - c), where c = 0:

67 - x = 67 - (x - 0) = 67 - (x - c) (x - c)

In the solution above, we can now change x to (x - c):

For |x - c| 1, the expression 11 - (x - c) = n=0 (x - c)n

for |x - c| 1, = 11 - n=0 (x - c)n

For |x - c| 1, = n=0 (11 - cn)(x - c)n

The power series growth of 67 - x with centre c = 0 is as follows:

67 - x = ∑n=0∞ (11 - 0ⁿ)(x - 0) (x - 0)

ⁿ = ∑n=0∞ 11xⁿ.

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Answer:

y = -4x + (-3)      or       y = -4x - 3,

Step-by-step explanation:

So the symbol would be negative (-). The rest of the equation is constructed by adding the slope which is -4x to the y intercept which is -3

The conclusion she should  make is that there is a correlation between test score and amount of TV watched. There may or may not be causation. Further studies would have to be done to determine this. The Option C.

Correlation refers to a statistical measure, expressed as a number, that describes the size and direction of a relationship between two or more variables.

To determine the conclusion in this context, we wll analyze the information provided. Ms. Campbell observed that students who watched less TV tended to earn higher scores on the physics test. This indicates a relationship between the variables "amount of TV watched" and "test score."

From the observation, we can conclude that: there is a correlation between test score and amount of TV watched. There may or may not be causation. Further studies would have to be done to determine this.

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Answer:

No

Step-by-step explanation:

x - 8 ≤ -10, x = 5

Plug x =5 into the inequality.

5 - 8 ≤ -10

Simplify.

-3 ≤ -10

False, so the answer is no.

Answer:

C

Step-by-step explanation:

parallel means no matter how far you stretch it the 2 lines will never touch and these 2 lines won’t EF and CD

Hopes this helps please mark brainliest

$31.56

37.50-20%=30

30+5.2%=31.56

Answer:

False

Step-by-step explanation:

Check if there is a right angle using the Pythagorean Theorem:

7.2^2 + 9.1^2 ≟ 12^2

134.65 ≠ 144,

so since there isn't a right angle, this is not a rectangle.

Answer:

$9288.23

Step-by-step explanation:

try it on paper bigger number on top and line up the decimals

Answer:

y = 0.10

Step-by-step explanation:

Using the equation, y = -0.44x + 886.7:

You can plug in the year (2015) as the value of x into the given equation. In doing so, you'll be able to determine what the value of y is (the amount of sea ice left).

y = -0.44x + 886.7

y = -0.44(2015) + 886.7

y = -886.6 + 886.7

y = 0.10

Therefore, the amount of sea ice left in 2015 is 0.10.  

Note: I'm not sure which unit of measure to follow because on the graph, it states that the "Area of Sea Ice" is (in millions of sq km); while in your given instructions, it states that "The scatterplot below shows the relationship between millions of square miles of arctic sea ice and the year."  I don't know if the unit of measure matters, but no matter what, the y-value should be 0.10.

The closest option which depicts the probability that a person played frisbee given that they do not have a dog is (Option A) 0.297. However, the actual answer is 0.152.

According to the Venn Diagram, the total number of persons who played frisbee given that they do not have a dog is 19.

Since the total number of persons in the sample is 125, hence

The probability that a person played frisbee given that they do not have a dog is 19/125

= 0.152.

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(a) The common ratio (r) is 2/3.

(b) The first term (a) is 20.25.

(c)  The sum to infinity of the progression is 60.75.

(a) Finding the common ratio (r):

In a geometric progression (GP), the ratio between consecutive terms is constant. We can use this property to find the common ratio.

Third term (T3) = 9

Sixth term (T6) = 2(2)/(3)

We know that the sixth term is the third term multiplied by the common ratio squared (since there are three terms between them).

\(T6 = T3 * r^3\)

Substituting the given values:

\(2(2)/(3) = 9 * r^3\)

To solve for r, we can rearrange the equation:

\(r^3 = (2(2)/(3)) / 9\)

\(r^3 = 4/27\)

Taking the cube root of both sides:

r = ∛(4/27) = 2/3

Therefore, the common ratio (r) is 2/3.

(b) Finding the first term (a):

To find the first term of the geometric progression, we can use the third term and the common ratio.

T3 = a * \(r^2\)

Substituting the given values:

9 = a * \((2/3)^2\)

9 = a * (4/9)

Simplifying:

a = 9 * (9/4)

a = 81/4 = 20.25

Therefore, the first term (a) is 20.25.

(c) Finding the sum to infinity of the progression:

The sum to infinity of a geometric progression can be calculated using the formula:

Sum = a / (1 - r)

Substituting the values we found:

Sum = (20.25) / (1 - 2/3)

Simplifying:

Sum = (20.25) / (1/3)

Sum = (20.25) * (3/1)

Sum = 60.75

Therefore, the sum to infinity of the progression is 60.75.

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The correct statement is a) The line integral of B⋅ds around any closed path equals μ0I, where I is the total steady current passing through any surface bounded by the closed path.

The correct option is a) The line integral of B⋅ds around any closed path equals μ0I, where I is the total steady current passing through any surface bounded by the closed path.

Ampere's law is one of the fundamental equations in electromagnetism and relates the magnetic field B to the electric current I. It states that the line integral of the magnetic field around a closed path is equal to the permeability of free space (μ0) times the total steady current passing through any surface bounded by the closed path.

Option b) is incorrect because Ampere's law does not state that the line integral of B⋅ds around any closed path equals zero. It relates it to the current passing through the surface.

Option c) is also incorrect because Ampere's law does not directly address the net magnetic flux through a closed surface. It specifically relates the line integral of the magnetic field around a closed path to the current passing through the surface.

Option d) is incorrect because the net magnetic flux through any closed surface is not equal to μ0. The net magnetic flux through a closed surface depends on the distribution of magnetic field lines and the characteristics of the surface.

Therefore, the correct statement is a) The line integral of B⋅ds around any closed path equals μ0I, where I is the total steady current passing through any surface bounded by the closed path.

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Answer:

they sold 548 less this year meaning they sold 2192

Step-by-step explanation:

Answer:

  a.  0

Step-by-step explanation:

You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.

Since we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.

The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...

  lim[x→0] (k(x) -1)/k(x)

The limit of k(x) as x → 0 is 1, so this becomes ...

  lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0

At x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

  lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1

The fact that k(0) = 0 is irrelevant with respect to this limit.

__

Additional comment

We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.

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Answer:

A

Step-by-step explanation:

Answer:

6^2+11^2 = c^2

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2+11^2 = c^2

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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The statement that shows equivalent measurements is "52 meters = 520 decimeters." Option C.

To determine the equivalent measurements, we need to understand the relationship between different metric units.

In the metric system, each unit is related to others by factors of 10, where prefixes indicate the magnitude. For example, "deci-" represents one-tenth (1/10), "centi-" represents one-hundredth (1/100), and "kilo-" represents one thousand (1,000).

Let's analyze each statement:

5.2 meters = 0.52 centimeters: This statement is incorrect. One meter is equal to 100 centimeters, so 5.2 meters would be equal to 520 centimeters, not 0.52 centimeters.

5.2 meters = 52 decameters: This statement is incorrect. "Deca-" represents ten, so 52 decameters would be equal to 520 meters, not 5.2 meters.

52 meters = 520 decimeters: This statement is correct. "Deci-" represents one-tenth, so 520 decimeters is equal to 52 meters.

5.2 meters = 5,200 kilometers: This statement is incorrect. "Kilo-" represents one thousand, so 5.2 kilometers would be equal to 5,200 meters, not 5.2 meters.

Based on the analysis, the statement "52 meters = 520 decimeters" shows equivalent measurements. So Option C is correct.

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Note the correct and the complete question is

Select the statement that shows equivalent measurements.

A.) 5.2 meters = 0.52 centimeters

B.) 5.2 meters = 52 decameters

C.) 52 meters = 520 decimeters

D.) 5.2 meters = 5,200 kilometers

Answer:

5

Step-by-step explanation:

Answer:

4(4x1-16)

Hope this helps

Have a good day :)

PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64

Step-by-step explanation:

The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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Answer:

0.9

Step-by-step explanation:

Y = B0 + B1X

B1 is the slope an from the question the slope estimate is 0.5

S.E= standard error at 0.2

At 5percent Level of significance, the z value for the test is equal to 1.96

We are required to find out the largest value of b for which the null hypothesis would be accepted.

0.5 + 1.96 x 0.2

= 0.892

Approximately 0.9

Answer:

Step-by-step explanation:

2(x+y)=parameter

xy=area

If area=parameter then 2(x+y)=xy.

If y=3, then

2(x+3)=3x

2x+6=3x

X=6

now, let’s double check.

6*3=18

2(3+6)=18

To represent decimal values ranging from 0 to 12,500, we need 14 bits.

To determine the number of bits needed to represent decimal values ranging from 0 to 12,500, we need to find the smallest number of bits that can represent the largest value in this range, which is 12,500.

The binary representation of a decimal number requires log base 2 of the decimal number of bits. In this case, we can calculate log base 2 of 12,500 to find the minimum number of bits needed.

log2(12,500) ≈ 13.60

Since we can't have a fraction of a bit, we round up to the nearest whole number. Therefore, we need at least 14 bits to represent values ranging from 0 to 12,500.

Using 14 bits, we can represent decimal values from 0 to (2^14 - 1), which is 0 to 16,383. This range covers the values 0 to 12,500, fulfilling the requirement.

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