What is a simple way to tell that 112
is not the slope of this graph?

On a coordinate plane, a line goes through points A (0, 2.5) and B (0.833, 0).

Answer: it is 8103.38

Step-by-step explanation:

A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

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Answer:

4 seconds

Step-by-step explanation:

Given equation:

\(y=256-16x^2\)

where:

The penny reaches the ground when the height is zero, so when y = 0.

Substitute y = 0 into the given equation and solve for x:

\(\begin{aligned}y&=256-16x^2\\y=0 \implies 0&=256-16x^2\\0+16x^2&=256-16x^2+16x^2\\16x^2&=256\\\dfrac{16x^2}{16}&=\dfrac{256}{16}\\x^2&=16\\\sqrt{x^2}&=\sqrt{16}\\x&=\pm4\end{aligned}\)

As time is positive, x = 4 only.

Therefore, it takes 4 seconds for the penny to reach the ground.

Answer:

0.74, 74

Step-by-step explanation:

just do 37÷50 for decimal, and do (37÷50)100 for percentage

If we know that the first toss is a head, the probability of two heads is 1/2. The probability of two heads if we know that at least one toss is a head is 2/3.

(a) If we know that the first toss is a head, the probability of two heads is 1/2 because the second toss is still independent and has a 50% chance of being either heads or tails.

(b) If we know that at least one toss is a head, the probability of two heads can be found by adding up the probability of getting two heads on the first and second tosses and then getting heads on the first and tails on the second toss. This can be represented as:

P(two heads | at least one head) = P(two heads) / P(at least one head) = (P(heads on first and heads on second) + P(heads on first and tails on second)) / (1 - P(tails on first and tails on second))

Since each toss has a 50% chance of being heads, the probability of getting two heads on the first and second tosses is 0.5 × 0.5 = 0.25. The probability of getting heads on the first and tails on the second is also 0.5 × 0.5 = 0.25. And the probability of getting tails on both tosses is 0.5 × 0.5 = 0.25.

Therefore, the answer is:

P(two heads | at least one head) = (0.25 + 0.25) / (1 - 0.25) = 0.5 / 0.75 = 2/3

So the probability of two heads, if we know that at least one toss is a head, is 2/3.

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Answer:

40.4

Step-by-step explanation:

Answer:

= 40

Step-by-step explanation:

so if you mean x = -8

\((x - 2)(x + 4) \times (x + 9) \\ \)

\(( - 8 - 2)( - 8 + 4) \times ( - 8 + 9)\)

\(( - 10)( - 4) \times 1\)

\(40 \times 1\)

\(40\)

Answer:

x = 11

Step-by-step explanation:

The Frequency column has to total 50 ( number of rolls on dice )

Thus total the given frequencies and equate to 50, that is

12 + 8 + 7 + 3 + 9 + x = 50

39 + x = 50 ( subtract 39 from both sides )

x = 11

Answer:

x=11

Step-by-step explanation:

12+8+7+3+9=39

50-39= 11

The value of x  for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

Expand

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

10x.10 = 50/10

x = 5

Hence the value of x is 5

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The volume of the prism is approximately 4519.16 cubic centimeters.

We have,

To find the volume of the prism, we need to multiply the area of the base by the height.

The area of a regular pentagon can be found using the formula:

\($A = \frac{5}{4} s^2 \cot(\frac{\pi}{5})$\)

where s is the length of the side of the Pentagon.

We are given that the area of the pentagon is 45 cm².

Solving for s:

\($45 = \frac{5}{4} s^2 \cot(\frac{\pi}{5})$\\\)

\($s^2 = \frac{4}{5} \cdot \frac{45}{\cot(\frac{\pi}{5})}$\\\)

\($s^2 \approx 28.478$\\\)

\($s \approx 5.334$\)

Now that we know the length of a side of the pentagon, we can find the area of the base of the prism:

\($A_{base} = 5 \cdot \frac{1}{2} s \cdot h$\)

\($A_{base} = 5 \cdot \frac{1}{2} \cdot 5.334 \cdot 13$\)

\($A_{base} \approx 346.935$\)

Finally, we can find the volume of the prism:

\($V = A_{base} \cdot h$\)

\($V = 346.935 \cdot 13$\)

\($V \approx 4519.16$\)

Therefore,

The volume of the prism is approximately 4519.16 cubic centimeters.

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Answer:

\( \frac{160}{3} \)

Step-by-step explanation:

Step 1: A discount of

\( \frac{1}{3} \)

means that the current price is two thirds of the original cost.

Step 2: The total cost is

\(80 \times \frac{2}{3} = \frac{160}{3} \)

and the answer follows.

Solution:

Note that:

Simplify the expression.

Lynn will pay $53.33.

The vertex, zeros, and y-intercept for the given quadratic equation f(x)=       -x² - 4x+5 are respectively,

Vertex- (2, 1)

Zeros-  (2 + i)

Y-intercept- 5

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

f(x) = y =  -x² - 4x+5

y = -x² - 4x+5

For making it perfect square, we can add and subtract square value of half of coefficient of x

So,  adding and subtracting +4 and -4 in the given equation

y = -x² - 4x+5+4-4

  = -x² - 4x+4+5-4

  = (-x +2)² +1

y-1 = (-x +2)²

So, for vertex

-x +2 = 0

x = 2

y-1 = 0

y = 1

For Zeros, y = 0

y-1 = (-x +2)²

(-x +2)² = -1

x = 2 + i,   -2-i

the zeros are imaginary

For y intercept, x = 0

y-1 = (-x +2)²

y   = 1 + (2)²

y   = 5

Hence,  vertex, zeros, and y-int. are respectively (2, 1), (2 + i), 5

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The length of the field is 4/9 meters.

To find the length of the rectangular field, we'll use the formula for the area of a rectangle: length multiplied by breadth.

Area = 1/3 sq.m

Breadth = 3/4 m

Let's assume the length of the field is L meters.

The formula for the area of a rectangle is:

Area = Length × Breadth.

Substituting the given values into the formula, we get:

1/3 = L × (3/4).

To solve for L, we need to isolate it on one side of the equation.

We can do this by dividing both sides of the equation by (3/4):

(1/3) ÷ (3/4) = L.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(1/3) × (4/3) = L.

Simplifying the multiplication, we get:

4/9 = L.

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The length of t, to the nearest 10th of a centimeter is 2.8 cm.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given that, for a triangle RST,

s = 8.1 cm, m ∠S = 41° and m ∠T = 13°.

We have to find the length of t.

We know that the sine rule of a triangle states that,

a / Sin A = b / Sin B = c / Sin C

where a, b and c are opposite sides to the angles A, B and C respectively.

Using the sine rule here,

s / sin S = t / sin T

8.1 / sin 41° = t / sin 13°

t = (8.1 × sin 13°) / sin 41°

t = (8.1 × 0.225) / 0.656

t = 2.777 cm ≈ 2.8 cm

Hence the length of t is 2.8 cm to the nearest 10th of a centimeter.

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From the logarithmic differentiation, function \(f(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}\),

a) \( ln (f(x)) = \frac{1}{x} ln( 1 + 2x) - ln(sin(x))\\ \)

b) \( \frac{f'(x)}{f(x)} = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

c ) The derivative of function, f(x) is

\(f'(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}( \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)) \\ \)

A logarithmic differentiation calculator is one of online tool used to calculate the derivative of a function using logarithm.

We have a function, \(f(x) = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}\).

We have to use logarithmic differentiation to determine the derivative and other values of the function.

a) Taking natural logarithm both sides in f(x), \(ln (f(x)) = ln( \frac{( 1 + 2x)^{\frac{1}{2}}}{ sin(x)})\)

Now, using the logarithm property,

\(ln(\frac{m}{n}) = ln(m) - ln(n) \)

\(ln (f(x)) = ln( 1 + 2x)^{\frac{1}{x}} - ln(sin(x)) \\ \). Also use power property, ln(p)² = 2ln(p),

\( ln (f(x)) = \frac{1}{x} ln( 1 + 2x) - ln(sin(x)) - - (1) \\ \)

b) Now, we determine the ratio of f'(x)/f(x)

Take a derivative of equation (1), we have

\(\frac{f'(x)}{f (x) } = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - \frac{cos(x)}{sin(x)}\\ \)

\(= \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

c) Now, we determine the derivative of f(x), Substitute original value of f(x) in previous equation,\( \frac{f'(x)}{ \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}} = \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x) \\ \)

f'(x) \( = \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}( \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)) \\ \). Hence, required value is \( \frac{( 1 + 2x)^{\frac{1}{x}}}{ sin(x)}[ \frac{2}{x( 1 + 2x)} - \frac{1}{x²} ln( 1 + 2x) - cot(x)] \\ \).

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Answer:

a=14

b=6

c=5

Step-by-step explanation:

\(x-6\sqrt{x} + 4 = 0\)

\(x +4 =6\sqrt{x}\)

\(x^2 + 8x + 16 = 36x\)

\(x^2 - 28x + 16 = 0\)

14 ±6\(\sqrt{5}\)  

Answer:

A=14,B=6, C=5

Step-by-step explanation:

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Answer:

2x (2x + 1) + 4(5x + 6)

2(x + 2) (2x + 1)

Step-by-step explanation:

The linear equation that describes the total wait time(y) based on the number of family groups in the line(x) is given by:

\(y = 3.5x\)

A linear equation is modeled by:

\(y = ax + b\)

In which:

In this problem:

Hence, the equation is:

\(y = 3.5x\)

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The statement by Reverend Parris, "There is either obedience or the church will burn like hell is burning," means that the people of Salem must obey the church or suffer severe consequences

. If the people do not obey the church, the church will lose its power and influence over them and may eventually crumble and fall. Reverend Parris is a man who is deeply committed to the church and its teachings, and he believes that the people of Salem must follow its rules and regulations to the letter.

If they fail to do so, they will face divine punishment, and the church will lose its authority. This statement shows Parris's strict and uncompromising attitude towards the church and his belief that its teachings are the only way to maintain order and harmony in Salem.

Parris fears that the church's power is waning, and he will do anything to ensure that it remains strong and influential. Ultimately, Parris's obsession with the church will have devastating consequences for the people of Salem, leading to the tragic events that unfold throughout the play.

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Answer:

Same

Step-by-step explanation:

it's that the question interesting anaways

Answer: same

you have to name the transformation i guess

Step-by-step explanation:

Every point moves the same distance in the same direction on a coordinate plane.

Translation mean Reflection, Rotation, and Dilation

The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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Answer:

ok check the attachment.

Step-by-step explanation:

follow me and thanks give me and BRAINLIEST also

The values of the missing sides are;

1. f = 8. 55

2. c = 28. 80

3. m = 23. 39

4. b = 15. 83

To determine the missing sides, we need to use the different trigonometric identities and their ratios.

We have;

1. Using the sine identity, we have;

sin 55 = 7/f

cross multiply the values, we have;

f = 8. 55

2. Using the cosine identity;

cos 37 = 23/c

cross multiply the values

c = 28. 80

3. Using the tangent identity;

tan 54 = m/17

m = 23. 39

4. Using the sine identity

sin 46 = b/22

b = 15. 83

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The inverse is y = x/2 - 4

Steps involved are -

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The value of the expression is 1/(9x)^2

From the question, we have the following parameters that can be used in our computation:

(-9x)^-2

We can write the expression without negative exponents by using a fraction with a positive exponent:

(-9x)^-2 = 1/(-9x)^2

And without parentheses, this expression becomes:

1/(9x)^2

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Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249