Calculate the unit rate.
322 meters in 28 seconds

Answer:

Horizontal: y = 9

Vertical: x = 3

Step-by-step explanation:

Any point is given in the form (x,y). The first number is the x and the second number is the y.

Horizontal lines (a left-right line like the horizon) have an equation in the form "y = anumber" This works because a horizontal line has ZERO slope. So there is no x in the equation because--

y = 0x + b

y = b (a number, use the y-number from the point)

A vertical line has undefined slope so you can't even pretend to use a slope equation. A vertical line (up and down) has an equation in the form

"x = anumber" Use the x from the point.

Horizontal line through (3,9) is y=9.

Vertical line through (3,9) is x=3

Answer:

Lauren

Step-by-step explanation:

1/2 is Erin

3/4 is Lauren

Answer:

1/2 for Eric and 6/8 for lauren

Eric: 1/2 = 4/8

Lauren: 6/8

Lauren was more succesful

Step-by-step explanation:

There are various factors that can distort the relationship between the independent and dependent variables. Nonetheless, the factor that most likely distorts the relationship between the two is the presence of a confounding variable.

What is a confounding variable

A confounding variable is an extraneous variable in a statistical model that affects the outcome of the dependent variable, providing an alternative explanation for the relationship between the dependent and independent variables. Confounding variables may generate false correlation results that lead to incorrect conclusions. Confounding variables can be controlled in a study through the experimental design to avoid invalid results. Thus, if you want to get a precise relationship between the independent and dependent variables, you need to ensure that all confounding variables are controlled.An example of confounding variables

A group of researchers is investigating the relationship between stress and depression. In their study, they discovered a positive correlation between stress and depression. They concluded that stress is the cause of depression. However, they failed to consider other confounding variables, such as lifestyle habits, genetics, etc., which might cause depression. Therefore, the conclusion they made is incorrect as it may be due to a confounding variable. It is essential to control all possible confounding variables in a research study to get precise results.Conclusively, confounding variables are the most likely factors that can distort the relationship between the independent and dependent variables.

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Answer:

it's only 2pi/B because the period of sin and cos is 2pi. If we were dealing with tan it'd be pi/B, since the period of tan is just pi.

Anyways, the question isn't clear. Can you get a better screenshot?

Answer:

Domain, -1<x<=6

Range, -3<=y<=5

Step-by-step explanation:

Just trust me

The integral is, (3m/16a³) π.

The simple answer for (a) is - x (1/m) cos(mx) + (1/m²) sin(mx) + c. The simple answer for (b) is (3m/16a³) π.

(a) Evaluation of integrals.

Given Integral is,∫ x sin(mx) dx

Let’s assume u = x and v' = sin(mx)Therefore, u' = 1 and v = - (1/m) cos(mx)According to the Integration formula,∫ u'v dx = uv - ∫ uv' dx

By substituting the values of u, v and v' in the formula, we get,∫ x sin(mx) dx= - x (1/m) cos(mx) - ∫ - (1/m) cos(mx)dx= - x (1/m) cos(mx) + (1/m²) sin(mx) + c

Therefore, the solution is,- x (1/m) cos(mx) + (1/m²) sin(mx) + c (where c is the constant of integration).

(b) Evaluation of Integral:

Given Integral is,∫ infinity x sin(mx) / (x² + a²)² dx

Let’s assume x² + a² = z

Therefore, 2xdx = dz

According to the Integration formula,∫ f(x)dx = ∫ f(a+b-x)dx

Therefore, the given integral can be rewritten as∫ 0 ∞ (z-a²)/z² sin(m√z) 1/2 dz

= 1/2 ∫ 0 ∞ (z-a²)/z² sin(m√z) d(z)

Now, let’s assume f(z) = (z-a²)/z² and g'(z) = sin(m√z)

By applying the integration by parts formula,∫ f(z)g'(z) dz= f(z)g(z) - ∫ g(z)f'(z) dz

= -(z-a²)/z² [(2/m²)cos(m√z) √z + (2/m)sin(m√z)] + 2∫ (2/m²)cos(m√z) √z / z dz

Since, cos(m√z) = cos(m√z + π/2 - π/2)= sin(m√z + π/2)

By taking z = y²,∫ x sin(mx) / (x² + a²)² dx

= -[x sin(mx) / 2(x² + a²)¹/²]∞ 0 + [m/(2a²)] ∫ 0 ∞ sin(my) cosh(my) / sinh³(y) dy

Now, by taking w = sinh(y), we get

dw = cosh(y) dy

Therefore,

∫ x sin(mx) / (x² + a²)² dx= m/(4a³) ∫ 0 ∞ dw / (w² + 1)³

= m/(8a³) [(3w² + 1) / (w² + 1)²]∞ 0

= (3m/8a³) ∫ 0 ∞ [1 / (w² + 1)²] dw

= 3m/16a³ [w / (w² + 1)]∞ 0= (3m/16a³) π

Therefore, the solution is, (3m/16a³) π.

The simple answer for (a) is - x (1/m) cos(mx) + (1/m²) sin(mx) + c. The simple answer for (b) is (3m/16a³) π.

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Answer:

Yes

5,5

Y

Step-by-step explanation:

The value of x in the solution set of the inequality is -4.

Inequalities are of two types, > and <. The > sign means that left hand side is greater than the right hand side, while the < sign means that the left hand side is less than than the right hand side.

We can solve the inequality by assuming the inequality sign as the = sign, except that when we divide or multiply one side by (-1), the inequality sign will reverse (for eg it will change from > to <).

9(2x+1) < 9x - 18

2x+1 < x - 2

2x < x - 3

x < -3

This means that x can be any value less than -3 (but not equal to -3 since the sign is < and not ≤) . Hence, the answer is -4.

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Answer:

-4

Step-by-step explanation:
taking  test

Answer:

Step-by-step explanation:

If two parallel lines are cut by a transversal and form a pair of alternate exterior angles, then the sum of the two exterior angles will be equal to 180° as shown;

If one angle measures (6x+5) and other measures (7x+4), then;

(6x+5)+(7x+4) = 180° (sum of two exterior angles)

Firstly, lets get the value of x from the equation.

6x+7x+9 = 180°

13x= 180-9

13x = 171

x = 171/13

x = 13.15°

The first angle 6x+5 will measure 6(13.15)+5 = 83.9°

The other angle 7x+4 will mesure 7(13.15)+4 = 96.1°

Answer:

Since the lines are parallel, the alternate exterior angles are congruent. Therefore you can set the expressions equal to each other and solve for x. Then you can substitute the value of x back into either expression to find the angle measure.

Step-by-step explanation: exact answer

The probability that at least 2 people believe that they have seen a ufo is 0.1937102445. The probability that exactly 1 person believes that he or she has seen a ufo is problem: P(X = 1) = 10C₁ (0.10) (0.90)⁹= 0.3874204890.

The probability that at least 2 people believe that they have seen a UFO would be 0.1937102445. For this we use the binomial distribution formula.

P(X ≥ 2) = 1 − P(X = 0) − P(X = 1)P(X = 0) = (9/10)¹⁰

P(X = 1) = 10C₁ (0.10) (0.90)⁹= 0.3874204890 (rounded to 10 decimal places)

P(X ≥ 2) = 1 − 0.3874204890 − 0.3486784401 = 0.1937102445 (rounded to 10 decimal places)

The probability that 2 or 3 people believe that they have seen a UFO would be 0.1937102445. Using the formula of binomial distribution again we can solve for the probability of this event.

P(2 ≤ X ≤ 3) = P(X = 2) + P(X = 3)P(X = 2) = 10C₂ (0.10)² (0.90)⁸= 0.1937102445 (rounded to 10 decimal places)

P(X = 3) = 10C₃ (0.10)³ (0.90)⁷= 0.0573956280 (rounded to 10 decimal places)

P(2 ≤ X ≤ 3) = 0.1937102445 + 0.0573956280 = 0.2511058725 (rounded to 10 decimal places)

The probability that exactly 1 person believes that he or she has seen a UFO would be 0.3874204890. Using the binomial distribution formula to solve this problem:

P(X = 1) = 10C₁ (0.10) (0.90)⁹= 0.3874204890 (rounded to 10 decimal places)

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Step-by-step explanation:

f(x) = x³ - ax² - 13x + b.

f(1) = 1³ - a(1)² - 13(1) + b = 0

=> 1 - a - 13 + b = 0, b - a - 12 = 0.

f(-3) = (-3)³ - a(-3)² - 13(-3) + b = 0

=> - 27 - 9a + 39 + b = 0, 12 - 9a + b = 0.

Therefore, b - a - 12 = 12 - 9a + b. 8a = 24, a = 3.

=> b - (3) - 12 = 0, b = 15.

Question:

Which function is shown in the graph below?

A. y=2^x-2 +3

B. y=2^x+2 +3

C. y=2^x-3 +2

D. y+2^x+3 +2

Answer:

B.

Let x = 0.555…

Then 10x = 5.555…

Subtract one from the other to get

10x - x = 5.555… - 0.555…

Notice how the fractional parts on the right cancel. This leaves you with

9x = 5

and so

x = 5/9

Answer:

59

Step-by-step explanation:

Since this fraction repeats the same number it must have a denominator of 9 and a numerator of the repeating digit the repeating digit is 5 so the fraction is 59

To determine the number of hex digits required to represent decimal numbers up to 1,999, we need to find the largest decimal number within that range and convert it to hexadecimal representation.

The largest decimal number within the range is 1,999. To convert it to hexadecimal, we divide it by 16 repeatedly until the quotient is 0, and then concatenate the remainders in reverse order.

1,999 divided by 16 gives a quotient of 124 and a remainder of 15 (F in hexadecimal representation).

124 divided by 16 gives a quotient of 7 and a remainder of 12 (C in hexadecimal representation).

7 divided by 16 gives a quotient of 0 and a remainder of 7 (7 in hexadecimal representation).

Thus, 1,999 in hexadecimal representation is 7CF. It requires three hex digits (7, C, F) to represent 1,999.

To calculate the number of bits required, we need to know the number of bits in one hex digit. Since each hex digit represents 4 bits, three hex digits would represent 3 * 4 = 12 bits.

Therefore, to represent decimal numbers up to 1,999, three hex digits are required, and it would take 12 bits.

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Answer:

2/5 *3/3= 6/15

1/3*5/5= 5/15

6/15+5/15=11/15

4/15 remaining

we showed that det(A3) = 0 implies det(A) = 0, and hence A is not invertible.  

The determinant of a matrix is a scalar value that can be computed from the entries of the matrix. In this case, we are given that the determinant of A raised to the third power (i.e., det(A3)) is zero.

We can use the fact that det(AB) = det(A)det(B) for any two matrices A and B to write det(A3) = det(A)det(A)det(A) = [det(A)]^3. Thus, we have [det(A)]^3 = 0, which means that det(A) = 0.

A matrix is invertible if and only if its determinant is nonzero. Therefore, since det(A) = 0, A is not invertible.

To summarize, we used the fact that the determinant of a matrix can be computed from its entries and the property that the determinant of a product of matrices is the product of their determinants. From there, we showed that det(A3) = 0 implies det(A) = 0, and hence A is not invertible.  

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Answer:

Area_square = 4 cm2

Area_triangle = 4 cm2

Step-by-step explanation:

The first thing to do is calculate the area of both figures.

The area of the square is given by:

Area_square = side * side

The side of the square is 2 cm, so:

Area_square = 2 * 2 = 4 cm2

The area of the triangle is given by:

Area_triangle = base * height / 2

The base is 2 cm, and the height is 4 cm, so we have:

Area_triangle = 2 * 4 / 2 = 4 cm2

So we have that Area_square = Area_triangle = 4 cm2

With the exception of the form f(x) = ax + b, non-linear equation can take any form.

As the name suggests, a nonlinear function is one that is NOT linear.

To put it another way, a nonlinear function's graph is not a line. In other words, its graph is not limited to being a line.

Any function whose graph is not a straight line should be considered a nonlinear function since a nonlinear function is one that is NOT linear

Since none of the graphs in the following figure are straight lines, they all illustrate nonlinear functions.

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Answer:

-21

Step-by-step explanation:

put in -3 where x is

-3^2  9

-9-12 = -21

Answer:

-21

Step-by-step explanation:

We know that  \(f(x)=-x^2-12\)  and we also know that \(f(x)=f(-3)\). Therefore, you will have to substitute x with -3.

Calculations:

\(f(x)=-x^2-12\)  

\(f(-3)=-(-3)^2-12\)

\(-9-12=-21\)

Answer:

124°

Step-by-step explanation:

The angles CGH and AHF have the same size.

● 7x - 72 = 3x + 40

Add 72 to both sides

● 7x - 72 + 72 = 3x + 40 + 72

● 7x = 3x + 112

Substract 3x from both sides

● 7x - 3x = 3x + 112 - 3x

● 4x = 112

Divide both sides by 4

● 4x/4 = 112/4

● x = 28

■■■■■■■■■■■■■■■■■■■■■■■■■■

● < CGH = 7x - 72 = 7×28 - 72 = 124°

Hyponatremia is associated with overhydration and dehydration. Hyponatremia is a condition characterized by low levels of sodium in the blood.

While options a and c (insufficient intake of dietary calcium and excessive intake of dietary sodium) may have an impact on overall health, they are not directly linked to hyponatremia. The correct associations for hyponatremia are overhydration (b) and dehydration (d).

Overhydration, or water intoxication, occurs when the body takes in more water than it can excrete. This dilutes the concentration of sodium in the blood, leading to hyponatremia. Overhydration can be caused by excessive fluid intake, particularly in cases of endurance sports or drinking large amounts of water without proper electrolyte balance.

On the other hand, dehydration can also contribute to hyponatremia. When the body loses more water than it takes in, the sodium levels in the blood become relatively higher, resulting in diluted sodium concentration. This can occur due to excessive sweating, vomiting, diarrhea, or certain medical conditions.

In both cases, the balance of fluids and electrolytes in the body is disrupted, leading to low sodium levels and the development of hyponatremia. It is important to maintain a healthy fluid intake, ensuring a proper balance of water and electrolytes, to prevent these conditions and maintain overall well-being.

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Answer:

406 candles in all.

Step-by-step explanation:

She needs 6 large arrangements with 25 candles in each arrangement.

Multiply 25 and 6 to find how much candles for all large arrangements combined.

25*6=150

She also needs 13 small arrangements with 12 candles in each arrangement.

Multiply 13 and 12 to find how much candles for all the small arrangements combined.

13*12=156

Add the answers together to find how many candles in all.

156+150=406.

She needs 406 candles in all.

Hope this helps!

Answer:

306

Step-by-step explanation:

First we find the number of candles needed for each size of arrangement.

Large Arrangements:

6 large arrangements with 25 candles each:

25 × 6 = 150

Small Arrangements:

13 small arrangements with 12 candles each:

13 × 12 = 156

Now we add the results above to find a grand total:

total = 150 + 156 = 306

About 57 red pens were sold

According to the information given:

number of packs of black pens sold: number of packs of red pens sold: number of packs of green pens sold = 7:3:4

Number of red pens sold = 3/14 * 268

Number of red pens sold = 57 pens

Hence about 57 red pens were sold

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under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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Answer:

no but they can change in speed

Answer:

it depends

Step-by-step explanation

when there is a force its moving from some kind of energy ex: gravity

so when its faced with different energy it could change in position

It will be either Options A, D and E are correct.

When a plane cuts a solid, such as a cone, cylinder, or sphere, it creates a shape known as a cross-section. Depending on how the plane cuts the cone, the cross-section of a solid, such as a cone, can be a circle, a parabola, or a triangle.

Given:

A cone is intersected by a plane.

A cone that is crossed by a plane

When the cone intersects the plane, we must determine the shape of the cross-section.

When the Plane intersects the cone parallel to the base, the resulting cross-section is circular in shape.

When the plane intersects the cone at an angle, the resulting cross section is of parabola shape.

As a result, choices A, D, and E are correct.

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Answer:

10

Step-by-step explanation:

1.turn 7 1/2 into a mixed number: 15/2.

2:Follow the rule keep, switch flip.

3.Before=15/2 divided by 3/4

4.Now= 15/2 x 4/3 = 60/6

5.Simplify 60/6 to 10.

Answer:

The answer is 10.

Answer:

\(\frac{3}{5} *\frac{10}{7}\)  

=  \(\frac{30}{35} =\frac{6}{7}\)

Answer:

f(-3) = -9

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

We are given a graph of a quadratic function f(x).

Step 2: Evaluate

f(-3) is x = -3 for the function f(x). According to the graph, when x = -3, y = -9.

∴ f(-3) would equal -9.

The value of f(-3) from the graph of the quadratic function is -9

A polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables. Polynomials are classified based on degree as linear, quadratic, cubic etc.

A quadratic equation is a polynomial of degree 2.

The value of f(-3) can be obtained from the graph. From the graph, the value of f(-3) is -9

The value of f(-3) from the graph of the quadratic function is -9

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