Answer:
x ≈ 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesTrigonometry
Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA
a is a side lengthb is a side lengthc is a side lengthA is an angle corresponding with side aStep-by-step explanation:
Step 1: Define
a = x
A = 30°
b = 16
c = 30
Step 2: Solve for x
Substitute: x² = 16² + 30² - 2(16)(30)cos30°Exponents: x² = 256 + 900 -2(16)(30)cos30°Evaluate: x² = 256 + 900 -2(16)(30)(√3/2)Multiply: x² = 256 + 900 - 480√3Add: x² = 1156 - 480√3Subtract: x² = 324.616Isolate x: x = √324.616Evaluate: x = 18.0171Round: x ≈ 183. In the figure, m/_ 2 = 92, and m/_12 = 74. Find the measure of each angle. Tell which postulate(s) or theorem(s) you used.
/_13
a. 106, vertical angles
b. 74, alternate interior angles
c. 106, supplementary angles
d. 74, consecutive interior angles
Answer:
C
Step-by-step explanation:
The radius of a circular clock is 10.5 inches.Which measurement is the closet to the measurement of the circumference of the clock in inches.
A.33
B.132
C.66
D.346
Answer:
C: 66 in.
Step-by-step explanation:
The circumference formula is C = 2(pi)(r). Here, r = 10.5 in. Thus, the circumference of the clock to the nearest inch is:
2(3.14)(10.5 in) = 65.94 in, which rounds off to C: 66 in.
Which equation represents a line that passes through the points (7,5) and (6, 1)?
the slope of the line is 4
a grocery store would like to determine whether there is a difference in the shelf life of two different brands of doughnuts. a random sample of 40 boxes of each brand was selected and the shelf life in days was determined for each box. a 95% confidence interval for , the difference in mean shelf life between brand a and brand b, was found to be . based on this confidence interval, what, if any, conclusions can we draw?
If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B includes zero, then there is no significant difference in the shelf life of the two brands of doughnuts. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B does not include zero, then there is a significant difference in the shelf life of the two brands.
Based on the question, a grocery store wants to determine whether there is a difference in the shelf life of two different brands of doughnuts.
They took a random sample of 40 boxes of each brand and determined the shelf life in days. A 95% confidence interval for the difference in mean shelf life between Brand A and Brand B was found.
Unfortunately, you didn't provide the actual values of the confidence interval. However, I can still explain how to interpret it.
1. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B includes zero (e.g., -2 to 3 days), then there is no significant difference in the shelf life of the two brands of doughnuts. This means that at a 95% confidence level, we cannot conclude that one brand has a longer or shorter shelf life than the other.
2. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B does not include zero (e.g., 1 to 4 days), then there is a significant difference in the shelf life of the two brands. This means that at a 95% confidence level, we can conclude that one brand has a longer or shorter shelf life than the other, depending on the sign of the interval (positive or negative).
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aldosterone stimulates the reabsorption of sodium while enhancing potassium secretion.
a. true b. false
I believe that may be false
Answer:
Step-by-step explanation:
True.
Aldosterone is a hormone produced by the adrenal gland that plays an important role in regulating electrolyte and water balance in the body. It acts on the cells of the distal tubules and collecting ducts of the kidneys to increase the reabsorption of sodium ions and the secretion of potassium ions.
This helps to increase blood volume and blood pressure by retaining more sodium and water in the body while getting rid of excess potassium. Aldosterone release is regulated by the renin-angiotensin-aldosterone system, which is activated in response to low blood pressure or low sodium levels in the blood.
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A movie theater sells two sizes ofpopcorn. How much more doesthe box hold than the cone?
Given the box of popcorns and the cone of popcorns, you can assume that the box is a rectangular prism.
You can use this formula to calculate the volume of the box:
\(V_{r.prism}=lwh\)Where "l" is the length, "w" is the width, and "h" is the height.
In this case:
\(\begin{gathered} l=5\text{ }in \\ w=3\text{ }in \\ h=6\text{ }in \end{gathered}\)Using the formula, you get:
\(V_{r.prism}=V_{box}=(5\text{ }in)(3\text{ }in)(6\text{ }in)=90\text{ }in^3\)Use this formula to calculate the volume of the cone:
\(V_{cone}=\frac{\pi r^2h}{3}\)Where "r" is the radius and "h" is the height.
In this case (knowing that the radius is half the diameter):
\(\begin{gathered} r=\frac{6\text{ }in}{2}=3\text{ }in \\ \\ h=8\text{ }in \\ \\ \pi\approx3.14 \end{gathered}\)Then, you get:
\(V_{cone}=\frac{(3.14)(3in)^2(8in)}{3}\approx75.36\text{ }in^3\)Subtract the volume of the cone from the volume of the box, in order to determine how much more the box holds than the cone:
\(90\text{ }in^3-75.36\text{ }in^3=14.64\text{ }in^3\)Hence, the answer is:
\(14.64\text{ }in^3\)4(3y + 2) - 5(6y - 1) = 2(y - 8) - 6(7y - 4) + 4y
answer: y= 1/4 is the answer
If p and q vary inversely and p is 29 when q is 25, determine q when p is equal to 5.
Answer:If p and q vary inversely, it means that their product remains constant. So we can set up the equation:
p * q = k
where k is the constant of variation.
Given that p is 29 when q is 25, we can substitute these values into the equation:
29 * 25 = k
725 = k
Now, let's determine the value of q when p is equal to 5:
p * q = k
5 * q = 725
Dividing both sides of the equation by 5:
q = 725 / 5
q = 145
Therefore, when p is equal to 5, q is equal to 145.
Step-by-step explanation:
Answer:p1q1=p2q2
q1=25,p1=29;
p2=5,q2=?;
q2=p1q1/p2;
q2=25*29/5;
q2=29*5;
q2=145.
Step-by-step explanation:
developing countries are providing new markets for companies that can provide them with needed: multiple select question. managers goods services technology
Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.
Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.
Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.
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What percent of the customers paid less than $50 for their telephone service? A. 20 B. 25 C. 75 D. 80
Answer:
a
Step-by-step explanation:
Answer:D
there is 5 who pay more then 50$ and there is 15 who pay less then 50$
do the math 75% pay less
Step-by-step explanation:
In a container, Samantha has different colored gum: 2 white, 5 green, 6 blue, and 7 orange. If Samantha randomly selects a piece of gum, what is the probability she will select blue?
The probability of Samantha randomly selecting a blue piece of gum from the container is 3/10 or 0.3.
The probability of Samantha selecting blue gum can be calculated by dividing the number of blue gum pieces by the total number of gum pieces in the container:
Probability of selecting blue = Number of blue gum pieces / Total number of gum pieces
Probability of selecting blue = 6 / (2 + 5 + 6 + 7)
Probability of selecting blue = 6 / 20
Probability of selecting blue = 3 / 10
Therefore, the probability of Samantha selecting blue gum is 3/10 or 0.3.
Probability is a mathematical concept used to measure the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain).
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En la tienda de mascotas "Animalo-T", se desea elevar un elefante de 2,900 kg utilizando una elevadora hidráulica de plato grande circular de 75 cm de radio y plato pequeño circular de 13 cm de radio. ¿Calcula cuánta fuerza hay que hacer en el émbolo pequeño para elevar al paquidermo?
Answer:
Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.
Step-by-step explanation:
Por el Principio de Pascal se conoce que el esfuerzo experimentado por el elefante es igual a la presión ejercida por el plato pequeño. Es decir:
\(\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}\) (1)
Donde:
\(F_{1}\) - Fuerza experimentada por el elefante, medida en newtons.
\(F_{2}\) - Fuerza aplicada sobre el plato pequeño, medida en newtons.
\(A_{1}\) - Área del plato grande, medida en metros cuadrados.
\(A_{2}\) - Área del plato pequeño, medida en metros cuadrados.
La fuerza aplicada sobre el plato pequeño es:
\(F_{2} = \left(\frac{A_{2}}{A_{1}} \right)\cdot F_{1}\)
La fuerza experimentada por el elefante es su propio peso. Por otra parte, el área del plato es directamente proporcional al cuadrado de su diámetro. Es decir:
\(F_{2} = \left(\frac{D_{2}}{D_{1}} \right)^{2}\cdot m\cdot g\) (2)
Donde:
\(D_{1}\) - Diámetro del plato grande, medido en centímetros.
\(D_{2}\) - Diámetro del plato pequeño, medido en centímetros.
\(m\) - Masa del elefante, medida en kilogramos.
\(g\) - Aceleración gravitacional, medida en metros por segundo cuadrado.
Si sabemos que \(D_{1} = 0.75\,m\), \(D_{2} = 0.13\,m\), \(m = 2900\,kg\) y \(g = 9.807\,\frac{m}{s^{2}}\), entonces la fuerza a aplicar al émbolo pequeño es:
\(F_{2} = \left(\frac{0.13\,m}{0.75\,m} \right)^{2}\cdot (2900\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\)
\(F_{2} = 854.473\,N\)
Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.
Solve for the linear equation 3x+2+x=x+5 please show work
Answer:
3x +2 +X = X+5
4x + 2 = X + 5
3x = 3
X = 1
Step-by-step explanation:
brain list me plzzz I need it
x = 1
Step-by-step explanation:3x + 2 + x = x + 5
3x + x - x = 5 - 2
3x = 3
x = 3 : 3
x = 1
Suppose that A is an n x n diagonal matrix with rank r, where rsn. Which of the following is true about
A?
A. O is an eigenvalue with algebraic muitiplicity n-r
B. O is an eigenvalue, but there is not enough information to determine the geometric multiplicity
C O is an eigenvalue with geometric multiplicity ner
DO is not an eigenvalue.
A is an n x n diagonal matrix with rank r , where rsn and the statement (a)"O is an eigenvalue with algebraic muitiplicity n-r " about A is true
Since A is an n x n diagonal matrix with rank r, the number of non-zero entries on the diagonal is r. This means that there are n - r zero entries on the diagonal.
For any diagonal matrix, the eigenvalues are simply the entries on the diagonal. Since there are n - r zero entries, the eigenvalue O has a geometric multiplicity of n - r.
Therefore, the correct statement is that O is an eigenvalue with geometric multiplicity n - r.
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There are two numbers whose sum is 73. Three times the smaller number is equal to 19 more than the larger number. What are the numbers?
Answer:
23 and 50
Step-by-step explanation:
3x=19+y
y=3x-19
x+3x-19=73
4x=92
x=92/4=23
73-23=50
What are the values ?? HELP PLEASE
Answer:
f(0) = 0
f(5) = 65
f(18) = 0
Step-by-step explanation:
If we know that f(x) = x(18 - x), we can do the following to find the needed values.
If we have f(0), then the value is...
f(x) = x(18 - x)
f(0) = 0(18 - 0)
f(0) = 0
If we have f(5), then the value is...
f(x) = x(18 - x)
f(5) = 5(18 - 5)
f(5) = 5(13)
f(5) = 65
If we have f(18), then the value is...
f(x) = x(18 - x)
f(18) = 18(18 - 18)
f(18) = 18(0)
f(18) = 0
Eexperts can you in step by step none is helping me plz
Answer:
hope this help you
God bless you
Let f and g be functions such that
f(0) = 5, g(0) = 5
f'(0) = 6, g'(0) = 2
find h'(0) for the function h(x) = g(x) f(x)
h'(0) = 40 for the function h(x) = g(x) f(x). the values of f(0), g(0), f'(0), and g'(0), which allows us to evaluate the derivatives at x = 0.
To find h'(0), we can use the product rule for differentiation. The product rule states that if we have two functions u(x) and v(x), then the derivative of their product is given by:
(d/dx)(u(x) v(x)) = u'(x) v(x) + u(x) v'(x)
In this case, u(x) = g(x) and v(x) = f(x). We are given the values of f(0), g(0), f'(0), and g'(0), which allows us to evaluate the derivatives at x = 0.
First, let's calculate u'(x) and v'(x):
u'(x) = g'(x) [Using the given value g'(0) = 2]
v'(x) = f'(x) [Using the given value f'(0) = 6]
Now, let's substitute the values into the product rule formula and evaluate it at x = 0:
h'(0) = u'(0) v(0) + u(0) v'(0)
= g'(0) f(0) + g(0) f'(0)
= 2 * 5 + 5 * 6
= 10 + 30
= 40
Therefore, h'(0) = 40 for the function h(x) = g(x) f(x).
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NO LINKS NO LINKS PLEASE ANSWER ACCURATE PLEASE IF YOU DO YOU WILL GET BRAINLIEST DONT TAKE POINTS JUST BECAUSE!!!!!!!!’n
Answer:
\(12my ^{2} \)
\(4my\)
\( - 5m\)
determine whether the planes are parallel, perpendicular, or neither. 15x − 3y 12z = 2, 2y = 10x 8z
The given equations of planes are: 15x - 3y + 12z = 2 & 2y = 10x - 8z
To determine whether these planes are parallel, perpendicular or neither, we need to compare the normal vectors of the planes. The normal vector of a plane is given by the coefficients of x, y and z in the equation of the plane.
The normal vector of the first plane (1) is [15, -3, 12] and the normal vector of the second plane (2) is [10, 2, -8/2] = [10, 2, -4].
Now, to check if the planes are parallel or perpendicular, we can take the dot product of the normal vectors. If the dot product is 0, then the planes are perpendicular, and if it is non-zero, then the planes are parallel.
The dot product of the normal vectors of the given planes is:
[15, -3, 12] · [10, 2, -4] = (15)(10) + (-3)(2) + (12)(-4) = 0
Since the dot product is zero, the planes are perpendicular to each other.
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Which two situations result in a solution of 0?
Responses
On Tuesday morning, the temperature outside is −5∘F. On Tuesday night, the temperature outside is 5∘F. How much does the temperature change from Tuesday morning to Tuesday night?
On Tuesday morning, the temperature outside is − − 5 ∘ ∘ F. On Tuesday night, the temperature outside is 5 ∘ ∘ F. How much does the temperature change from Tuesday morning to Tuesday night?
On Friday morning, a student earns $35 mowing lawns. On Friday night, the student spends the $35 while out with friends. How much of the money that the student earns from mowing lawns is left?
On Friday morning, a student earns $ 35 mowing lawns. On Friday night, the student spends the $ 35 while out with friends. How much of the money that the student earns from mowing lawns is left?
A vacationer goes scuba diving and is at a depth of −30 yards during the dive. Later in the day, the vacationer hikes up to a lookout 30 yards above the ocean. What is the vertical distance between the diving position and the lookout position?
A vacationer goes scuba diving and is at a depth of − − 30 yards during the dive. Later in the day, the vacationer hikes up to a lookout 30 yards above the ocean. What is the vertical distance between the diving position and the lookout position?
A student walks 5 blocks west to school then another 10 blocks west after school. How far is the student from the starting location?
A student walks 5 blocks west to school then another 10 blocks west after school. How far is the student from the starting location?
A student owes a friend $7.50. If the student pays the friend $7.50, how much does the student owe the friend?
A student owes a friend $ 7.50 . If the student pays the friend $ 7.50 , how much does the student owe the friend?
The two situations which would result in a solution of 0 include the following:
B. On Friday morning, a student earns $35 mowing lawns. On Friday night, the student spends the $35 while out with friends. How much of the money that the student earns from mowing lawns is left?
D. A student owes a friend $7.50. If the student pays the friend $7.50, how much does the student owe the friend?
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
For this exercise, the expression which represents the first situation is given by:
Amount of money left = $35 - $35
Amount of money left = 0
For this exercise, the expression which represents the second situation is given by:
Amount of money owed = $7.50 - $7.50
Amount of money owed = 0.
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Find a nonzero vector parallel to the line of intersection of the two planes 2y - 2x + z = -3 and 3z - 5x = 3.
A vector parallel to the line of intersection of the two planes 2y - 2x + z = -3 and 3z - 5x = 3 is u = (3, 1, -2).
To find the vector parallel to the line of intersection of the two planes 2y - 2x + z = -3 and 3z - 5x = 3, first use the two equations to find the parametric form of the line of intersection.
This can be done by solving one of the equations for one of the variables, such as by solving the first equation for z, resulting in z = 2x + 2y - 3. Substitute this expression into the second equation, 3(2x + 2y - 3) - 5x = 3, to get 6x + 6y - 9 = 5x.
Solve for x to get x = 6y - 9, and substitute this into the first equation, 2y - 2(6y - 9) + z = -3, to get z = -12y + 21.
Therefore, the parametric form of the line of intersection is x = 6y - 9, y = y, z = -12y + 21. Since this line is parallel to a vector, take a nonzero value of y, such as y = 1, to get the vector u = (3, 1, -2).
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What is the equation of the line going through the points (1,1 and (4,1)?
Answer:
y = 1
Step-by-step explanation:
Note the line passes through (1, 1 ) and (4, 1 ) both with a y- coordinate of 1
This indicate the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through, then
y = 1 ← equation of line
HELP
HELP HELP HELP HELP
Answer:
B=107
Step-by-step explanation:
Foremost, D and B are equal measure which can be shown by proving that these two triangles are congruent. A+C+D=180, D=180-(32+41)=107
Consider the same firm with production function: q=f(L,K) = 20L +25K+5KL-0.03L² -0.02K² Make a diagram of the total product of labour, average product of labour, and marginal product of labour in the short run when K = 5. (It is ok if this diagram is not to scale.) Does this production function demonstrate increasing marginal returns due to specialization when L is low enough? How do you know?
The MP curve initially rises to its maximum value because of the specialized nature of the fixed capital, where each additional worker's productivity rises due to the marginal product of the fixed capital.
Production Function: q = f(L,K) = 20L + 25K + 5KL - 0.03L² - 0.02K²
Given, K = 5, i.e., capital is fixed. Therefore, the total product of labor, average product of labor, and marginal product of labor are:
TPL = f(L, K = 5) = 20L + 25 × 5 + 5L × 5 - 0.03L² - 0.02(5)²
= 20L + 125 + 25L - 0.03L² - 5
= -0.03L² + 45L + 120
APL = TPL / L, or APL = 20 + 125/L + 5K - 0.03L - 0.02K² / L
= 20 + 25 + 5 × 5 - 0.03L - 0.02(5)² / L
= 50 - 0.03L - 0.5 / L
= 49.5 - 0.03L / L
MP = ∂TPL / ∂L
= 20 + 25 - 0.06L - 0.02K²
= 45 - 0.06L
The following diagram illustrates the TP, MP, and AP curves:
Figure: Total Product (TP), Marginal Product (MP), and Average Product (AP) curves
The production function demonstrates increasing marginal returns due to specialization when L is low enough, i.e., when L ≤ 750. The marginal product curve initially increases and reaches a maximum value of 45 units of output when L = 416.67 units. When L > 416.67, MP decreases, and when L = 750 units, MP becomes zero.
The MP curve's initial increase demonstrates that the production function displays increasing marginal returns due to specialization when L is low enough. This is because when the capital is fixed, an additional unit of labor will benefit from the fixed capital and will increase production more than the previous one.
In other words, Because of the specialised nature of the fixed capital, the MP curve first climbs to its maximum value, where each additional worker's productivity rises due to the marginal product of the fixed capital.
The APL curve initially rises due to the MP curve's increase and then decreases when MP falls because of the diminishing marginal returns.
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wallpaper is sold in rolls that are 2 feet wide what is the minimum length you would need to purchase to cover the wall and 60 feet covers the wall
Answer:
28feetStep-by-step explanation:
Let the wallpaper be a rectangle
Area of a rectangle = Length * Width
A = LW
Perimeter P = 2L+2W
If the wallpaper is sold in rolls that are 2 feet wide, then the width is 2 feet, to get the length, substitute W = 2 and P = 60 into the formula for calculating the perimeter of a rectangle.
60 = 2L + 2(2)
60 = 2L + 4
2L = 60-4
2L = 56
L = 56/2
L = 28
The minimum length that will be purchased to cover the wall is 28 feet
Image transcription textSuppose the following two simple statements are true.
The scroll is open.
The writings are visible.
Determine which of the following compound statements would also be true. Select all that apply.
Answer
The scroll is not open or the writings are visible.
" The scroll is open or the writings are not visible.
The scroll is open or the writings are visible.
1 The scroll is not open or the writings are not visible.... Show more
Based on the given simple statements, "The scroll is open" and "The writings are visible," we can determine which compound statements would also be true.
The scroll is not open or the writings are visible.
This compound statement would be true. Since the first simple statement states that the scroll is open, the negation of this statement would be that the scroll is not open. The second simple statement states that the writings are visible, which aligns with this compound statement. Therefore, this compound statement is true.
The scroll is open or the writings are not visible.
This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, the second part of this compound statement contradicts the given information.
The scroll is open or the writings are visible.
This compound statement would be true. It directly matches the given simple statements, where both the scroll being open and the writings being visible are mentioned. Therefore, this compound statement is true.
The scroll is not open or the writings are not visible.
This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, neither part of this compound statement aligns with the given information.
The compound statements that would be true are:
The scroll is not open or the writings are visible.
The scroll is open or the writings are visible.
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what is the value of x after the following code is executed? x = 17 if x * 2 <= 34: x = 0 else: x = x 1 x = x 1
The value of x after the execution of the given code x = 17 if x * 2 <= 34: x = 0 else: x = x + 1 is 0 (zero).
The initial value of variable x is 17. The code then checks if x multiplied by 2 is less than or equal to 34. Since 17 multiplied by 2 is 34, this condition is true, and the code assigns 0 to x. Therefore, the value of x after the execution of the first line is 0.
The next line is an else statement, which means that if the condition in the if statement is false, the code inside the else block will be executed. Since the condition was true and x was assigned 0 in the if block, the else block is not executed.
The final line of code assigns x + 1 to x, which means that the value of x after this line is executed will be 1. However, this line of code does not affect the previous value of x, which was already set to 0 in the if block.
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Estimate 40% of 128
Please help :c
Answer:
51.2 is 40% of 128
Step-by-step explanation:
Answer:
76.8
Step-by-step explanation:
128 x .40 = 51.2
128 - 51.2 =76.8
A bus entered the freeway and traveled at a constant speed of 80 mph. Two hours later a second bus followed the first bus, entering the freeway from the same point as the first bus, and traveled at a constant speed of 65 mph. How long will it take the second bus to catch up with the first bus?
Answer:
It will take about 15-20 Minutes to catch up to that bus.
Step-by-step explanation:
65+ 20= 85 so its a tad bit over but it works.