Someone answer all 1-10 please

The average velocity between 3 and 6 seconds will be found with the following equation:

The only shape that has at least 3 angles of 90° would be; RECTANGLE

Since we have a 4-sided figure that had 2 sides that were 3.4 centimeters long and 2 sides that were 3.3 centimeters long. It had at least 3 right angles.

Since there are two pairs of equal sides; one pair of length 3.4 cm each and one pair of 3.3 cm each.

There quadrilateral (four-sided shape) that meets this first condition is:

Parallelogram

Rhombus

Rectangle

The only shape that has at least 3 angles of 90° would be; RECTANGLE as the other shapes don't have the right angle.

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The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

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Answer:

true

Step-by-step explanation:

i do beleive the answer is false because one answer is a fraction an the other a deciaml with 2 different values

The standard deviation of the binomial trial can be obtained using the formula below

Where

Standard deviation is the square root of the product of the number of trials, probability of success, and probability of failure.

Thus, we will have

Answer:

3/4

Step-by-step explanation:

Answer:

2 ÷ 8/3 is 0.75 !!

there you go!

Step-by-step explanation:

1) m∠1 = m∠4, m∠2 = m∠3   (1) Given

2) m∠AFC = ∠1 + ∠2             (2) Angle Addition Postulate

3) m∠EFC = ∠3 + ∠4            (3) Angle Addition Postulate

4) m∠EFC = ∠1 + ∠2             (4) Substitution

5) m∠AFC = m∠EFC             (5) Transitive Property

Thnk you

The principal value of za has a limit as z tends to 0 for all complex values of a except when a = 0.

This can be shown using the definition of the limit:

limz → 0 za = L

This means that for any ε > 0, there exists a δ > 0 such that |za - L| < ε whenever |z - 0| < δ.

If a ≠ 0, then we can choose δ = ε/|a|, and we have:

|za - L| = |a||z - 0| < |a|δ = ε

Therefore, the limit exists for all complex values of a except when a = 0.

When a = 0, the principal value of za is always 0, regardless of the value of z. Therefore, the limit does not exist as z tends to 0.

In conclusion, the principal value of za has a limit as z tends to 0 for all complex values of a except when a = 0.

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For the principal value of za to have a limit as z tends to 0, the value of a must be greater than or equal to 1. This is because as z approaches 0, the value of za will also approach 0, but only if a is greater than or equal to 1. If a is less than 1, the value of za will approach infinity as z approaches 0, and therefore will not have a limit.

To justify this answer, we can use the definition of a limit. The limit of a function f(x) as x approaches a value c is defined as the value that f(x) approaches as x gets closer and closer to c. In this case, the function is za and the value c is 0. As z gets closer and closer to 0, the value of za will approach 0 if a is greater than or equal to 1. However, if a is less than 1, the value of za will approach infinity and therefore will not have a limit.

Therefore, the complex values of a for which the principal value of za has a limit as z tends to 0 are all values greater than or equal to 1.

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Answer:

4

Step-by-step explanation:

If each person has 2 eggs, you'd need 48, and since a dozen is 12, 12*4=48.

Answer:

4 dozen eggs

Step-by-step explanation:

12 is a dozen and 12+12=24.

So you would need 4 dozen eggs to give each person 2 eggs.

The age of a fossil can be determined using Carbon 14 dating. Carbon 14 dating is a method of determining the age of an object that is based on the decay of the isotope carbon-14. Carbon-14 has a half-life of approximately 5,730 years, which means that half of the initial amount of carbon-14 in a sample will decay in 5,730 years.

What is carbon dating in simple words?

Simply said, carbon dating is the process of using the presence of carbon 14 to estimate the age of ancient material (such as an archaeological or paleontological specimen).

If 32% of the initial amount of Carbon 14 in a sample remains, we can use the formula:

Age = t = (t1/2) * ln(2) / ln(A0/A)

Where t1/2 is the half-life of carbon-14 (5730 years), A0 is the initial amount of carbon-14 (100%), and A is the remaining amount of carbon-14 (32%).

Age = (5730) * ln(2) / ln(100/32)

Age = (5730) * 0.693 / (-1.51)

Age = 8129 years

So, approximately 8129 years have elapsed since the fossil was formed.

Note that this is an estimate and this method of dating can only be used for fossils that are less than about 60,000 years old. Also, this method assumes that the initial amount of carbon-14 in the sample is known, which can be affected by the environment and other factors that can affect the accuracy of the dating.

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Answer:

The Lower Left Option

Step-by-step explanation:

The upper-left graph is neither increasing or decreasing, it's slope is infinite

The upper-right graph decreases, then increases slightly, and increases again

The last graph increases then decreases

Answer:

1. 501

2. 1258 or 4258 or 9258

Step-by-step explanation:

1. represent number (d3d2d1) in terms of x. let x = 10's digit (dxd) then

d2 = x

d1 = x + 1

d3 = 5(x + 1) = 5x + 5

d3 + d2 + d1 = 6

(5x + 5) + (x) + (x + 1) = 6

7x + 6 = 6

7x = 0

x = 0   SO

d3 = (5x + 5) = 5

d2 = 0

d1 = x + 1 = 1

501

2. d4d3d2d1 and d1 not = d2 not = d3 not = d4, let d3 = x and d2 = y then

d2 = y

d3 = x

d1 = 4x and d1 = y + 3 so 4x = y + 3 or y = 4x - 3

d4 = perfect square (1 or 4 or 9)

any d must be <= 9

d4d3d2d1 = (1 or 4 or 9)(x)(4x - 3))(4x) so x<3 (0,1,2) or d1 fails <= 9

(1,4,9)(0,1,2)((4x - 3 = (1,5))((4x = 0,4,8)

d3 (0,1,2) must be 2 because 0 does not work for d2 and 1 does not work for d1, so this make d1 (4x) = 8 so

(d4)(2)(4x - 3 = 5)(4x = 8) = d4 (1,4,9) and 258 so

1258 or 4258 or 9258

The particular solution is y = 4x + 3.

This is the general solution to the equation dy/dx = (y² - 1)/x.

Question 1:

i. y = x³ - 2, where -∞ < x < 3

Domain: The domain represents all possible values of x for which the function is defined. In this case, there are no restrictions on x, so the domain is (-∞, 3).

Range: To find the range, we observe that as x approaches negative infinity, y also approaches negative infinity. As x approaches positive infinity, y approaches positive infinity. Therefore, the range is (-∞, +∞).

ii. y = x⁴

Domain: There are no restrictions on x, so the domain is (-∞, +∞).

Range: For any real value of x, x⁴ is always non-negative. Therefore, the range is [0, +∞).

iii. y = √(1 - x²)

Domain: The square root function is defined only for non-negative values inside the square root. So, we have the condition 1 - x² ≥ 0. Solving this inequality, we get -1 ≤ x ≤ 1. Hence, the domain is [-1, 1].

Range: The square root function always returns non-negative values. Therefore, the range is [0, +∞).

Question 2:

A.

i. f(x) = b∘a(x)

  = b(a(x))

  = b(x + 3)

  = 4(x + 3)

  = 4x + 12

ii. g(x) = a∘b(x)

  = a(b(x))

  = a(4x)

  = (4x)³

  = 64x³

B.

i. f(x) = a(b∘c(x))

  = a(b(c(x)))

  = a(b(x - 5))

  = a(2(x - 5))

  = (2(x - 5))³

  = 8(x - 5)³

ii. g(x) = c(a∘b(x))

  = c(a(b(x)))

  = c(a(2x))

  = c(2x³)

  = (2x³) - 5

Question 3:

a. lim (12 - 11/n²) as n approaches infinity

  As n approaches infinity, 11/n² becomes very small and approaches 0. Therefore, the limit simplifies to 12 - 0, which is equal to 12.

b. lim (3n² - 2n + 4)/(-6 - 2n - 7n²) as n approaches infinity

  As n approaches infinity, the terms with lower powers of n become insignificant compared to the higher powers. The dominant term is -7n² in the denominator. Dividing all terms by n², we get lim (-3/n + 2/n² - 4/n²) / (-6/n² - 2/n - 7) as n approaches infinity. This simplifies to 0 / (-7), which is equal to 0.

c. lim (√(2n² + 2)/(3n - 5)) as n approaches infinity

  As n approaches infinity, the dominant terms in the numerator and denominator are 2n² and 3n, respectively. Dividing all terms by n, we get lim (√(2 + 2/n²)/(3 - 5/n)) as n approaches infinity. This simplifies to √(2/3), which is a finite value.

d. lim (√(n² + 1

) - n) as n approaches infinity

  As n approaches infinity, the term n in the expression becomes negligible compared to √(n² + 1). Therefore, the limit simplifies to √(n² + 1) - n. This cannot be further simplified since it involves the difference of two terms. The limit is indeterminate.

Question 4:

i. eˣ dy/dx = 4

  Integrating both sides with respect to x:

  ∫eˣ dy = ∫4 dx

  y = 4x + C, where C is the constant of integration.

  Given y = 3 when x = 0, substitute the values into the equation:

  3 = 4(0) + C

  C = 3

  Therefore, the particular solution is y = 4x + 3.

ii. dy/dx = (y² - 1)/x

  Separating variables:

  dy/(y² - 1) = dx/x

  Integrating both sides:

  ∫(1/(y² - 1)) dy = ∫(1/x) dx

  Applying partial fraction decomposition on the left side:

  ∫(1/((y - 1)(y + 1))) dy = ln|x| + C

  Now we need to solve the integral on the left side:

  ∫(1/((y - 1)(y + 1))) dy = (1/2)ln|((y + 1)/(y - 1))| + D

  Combining the results:

  (1/2)ln|((y + 1)/(y - 1))| + D = ln|x| + C

  Simplifying further:

  ln|((y + 1)/(y - 1))| = 2ln|x| + C

  Exponentiating both sides:

  |((y + 1)/(y - 1))| = e^(2ln|x| + C)

  Removing absolute value signs:

  ((y + 1)/(y - 1)) = ±e^(2ln|x| + C)

  Simplifying:

  ((y + 1)/(y - 1)) = ±e^(ln|x|^2 + C)

  ((y + 1)/(y - 1)) = ±(e^(ln|x|^2) * e^C)

  ((y + 1)/(y - 1)) = ±(x² * e^C)

  Solving for y:

  y + 1 = ±(x² * e^C)(y - 1)

  y + 1 = ±(x² * e^C)(y - 1)

  y + 1 = ±(x² * Ke^C)(y - 1), where K = ±e^C

  y + 1 = (x² * Ke^C)(y - 1)

  y(1 - x²Ke^C) = (x²Ke^C) - 1

  y = ((x²Ke^C) - 1) / (1 - x²Ke^C)

  This is the general solution to the equation dy/dx = (y² - 1)/x.

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Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

Step-by-step explanation:

Do you have any options or a graph?

Answer:  310.5       2) 7 , -1

Step-by-step explanation:

1) divide 229.50 by 17 (13.5) and multiply by 23 (310.5)

2) To find the vertical asymptotes, set the denominator equal to zero and solve for x. This is already factored in, so set each factor to zero and solve. Since the asymptotes are lines, they are written as equations of lines. The vertical asymptotes are 7 and -1.

5.30085603 × 10-34 m2 kg / s

Answer:

5.30085603 × 10-34 m2 kg / s

Step-by-step explanation:

The dimensions of the rectangle has a width = 12cm and length = 5cm.

In calculating the area of a rectangle, we multiply its length and width.

Let us use the letter x to represent the width, so that the length = x - 7

hence we calculate for the unknown x as follows;

x(x - 7) = 60

expand and equate to zero to derive a quadratic equation

x² + 7x - 60 = 0

by factorisation;

x² - 12x + 5x - 60 = 0

x(x - 12) +5(x -12) = 0

(x + 5)(x - 12) = 0

thus for x + 5 = 0

x = -5

and for x - 12 = 0

x = 12

Therefore, x = 12 is true for the quadratic equation and also for the width = 12 and length = 5cm for the rectangle.

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Answer:

5

Step-by-step explanation:

With the equation \(x^2 + 2xy - 4y\), we can substitute the values of x = 3 and y = -2 into the equation to find its result.

\((3^2) + (2\cdot3\cdot-2) - (4\cdot-2)\\\\9 + (6\cdot-2) - (-8)\\9 - 12 + 8\\5\)

Hope this helped!

Normal distribution has a mean of 196 and a standard deviation of 18.5. using the Empirical Rule 68% of the distribution would we expect to fall between 177.5 and 214.5.

The correct answer is B. About 68%.

The Empirical Rule, also known as the 68-95-99.7 Rule, states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean

In this case, the mean is 196 and the standard deviation is 18.5. One standard deviation from the mean would be between 177.5 (196 - 18.5) and 214.5 (196 + 18.5). Therefore, we would expect about 68% of the distribution to fall between 177.5 and 214.5, according to the Empirical Rule.
Answer: B. About 68%

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The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer: the answer is

Step-by-step explanation: its simple bro just count the numbers inbetween 0 and

Answer:

what this equation wants you to do is find the value of x.

since I don't know how to explain this to you i'll give you the answer which is 3. x=3

The value of x for the expression will be \(x = \dfrac{( 4 + 8y ) }{ -7}\).

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Considering that the formula is 7x8y=4, The calculation for x is as follows:

−7x−8y=4

Apply the mathematical operation of addition and subtraction and solve the expression for the value of x below,

-7x = 8y + 4

\(x = \dfrac{( 4 + 8y ) }{ -7}\)

Therefore, the value of x will be  \(x = \dfrac{( 4 + 8y ) }{ -7}\).

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The complete question is given below.

The expression for the x and y variables is −7x−8y=4. Solve the expression for the value of x.

According to the strict necessity test, Conclusions of inductive arguments do not follow by strict logical necessity from their premises. The correct option is a).

It means that even if the premises of an inductive argument are true, the conclusion can still be false, and the truth of the premises does not guarantee the truth of the conclusion.

Inductive reasoning involves making generalizations based on specific observations or evidence, but it does not provide conclusive proof like deductive reasoning. Therefore, the conclusions of inductive arguments are not necessarily true, even if the premises are true. So, The correct answer is a).

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Answer:

5.74

Step-by-step explanation:

Answer:

I think It's A. How many Goats Did She Sell?

Step-by-step explanation:

if she Sold Out of her goods To her dad. I am Thinking Of How many goats Are left.

Counting from point M (0 unit) on this number line, we can logically deduce that point H is located at -7.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

In Mathematics, there are six (6) common types of numbers and these include the following:

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length. Also, the negative numerical values are positioned at the left from zero while the positive numerical values are positioned at the right from zero.

Note: Each of the tick represents 1 unit.

Therefore, counting from point M (0 unit) on this number line, we can logically deduce that point H is located at -7.

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Answer:

263,500

Step-by-step explanation:

Population in 2012 = 252,960

Population in 2002 = ? = x

% decrease in population from 2002 to 2012 = 4%

% decrease = (2002 population - 2012 population)/2002 population × 100

Plug in the value into the equation:

\( 4 = \frac{x - 252,960}{x} * 100 \)

\( 4 = \frac{100(x - 252,960)}{x} \)

Multiply both sides by x

\( 4*x = \frac{100(x - 252,960)}{x}*x \)

\( 4x = 100x - 25,296,000 \)

Subtract 100x from both sides

\( 4x - 100x = 100x - 25,296,000 - 100x \)

\( -96x = -25,296,000 \)

Divide both sides by -96

\( \frac{-96x}{-96} = \frac{-25,296,000}{-96} \)

\( x = 263,500 \)

Population of the town in 2002 was 263,500.