Ignoring friction and air resistance, what is the acceleration of the box, to the nearest tenth? 0.5 m/s2 4.9 m/s2 8.5 m/s2 9.8 m/s2
Answers
The option second -4.9 m/s² is correct the negative sign shows that a positive direction "upward along the ramp".
What is mass?A tangible body's mass is the amount of matter it possesses. It's also a metric of inertial, or the resistance to velocity when a net force is exerted.
The question is incomplete.
The complete question is:
A box that has a mass of 80 kg slides down a ramp with a 30-degree angle. The free-body diagram shows the forces acting on the box. Ignoring friction and air resistance, what is the acceleration of the box, to the nearest tenth?
-0.5 m/s²
-4.9 m/s²
-8.5 m/s²
-9.8 m/s²
First we calculate the weight:
W = mg = 80×9.8
W = 784 N
The weight component parallel to the ramp is:
W₁ = Wsin30
W₁ = (784)(sin30)
W₁ = 392 N
From the Newton's second law:
a = F/m
a = 392/80
a = 4.9 m/s²
Thus, the option second -4.9 m/s² is correct the negative sign shows that a positive direction "upward along the ramp".
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Related Questions
I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
Answers
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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3. Write < or > for each pair of numbers.
-6.48 -6.5
5.983 5.99
3.09. 3.01
Answers
-6.48 > -6.5
5.983 < 5.99
3.09 > 3.01
Hope it helps
The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining Inventory for a particular item and the
number of days that have passed since the stock was replenished.
Which type of function best models the relationship between the number of days and the inventory remaining?
Answers
Answer:
y = -2.8x +69.4
Step-by-step explanation:
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
The linear function which best models the relationship between the number of days and remaining inventory is \(y = \frac{-35}{12}x + \frac{50}{3}\) .
What is linear function?
A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.
According to the given equation
We have a graph which shows the remaining inventory.
In which x represents the number of days and y represents the inventory remaining.
Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.
Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.
Substitute y = 30 and x = 14 in y = mx + b
⇒ \(30 = m(14) + b...(i)\)
Similarly,
substitute y =65 and x =2 in y = mx + b
⇒\(65 = 2m + b..(ii)\)
From equation (i) and (ii)
\(m = \frac{-35}{12}\)
and \(\frac{50}{3}\)
Therefore, \(y = \frac{-35}{12}x + \frac{50}{3}\)
Hence, the linear function which best models the relationship between the number of days and remaining inventory is \(y = \frac{-35}{12}x + \frac{50}{3}\) .
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1. Choose the correct answer.
A _____ is an equation whose graph is a straight line.
linear equation
system of linear equations
quadratic equation
linear inequality
Answers
It's Linear Equation!!!
A linear equation is an equation whose graph is a straight line.
What is Line segment?
Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The graph of equation is a straight line.
Now,
Since, The graph of equation is a straight line.
We know that;
The graph of a linear equation is always a straight line.
Thus, A linear equation is an equation whose graph is a straight line.
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In a ________ method, relationships between variables are studied by making observations or measures of the variables of interest.
Answers
In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.
What is nonexperimental research?Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.
The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.
It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.
Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.
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a) Set-up an integral for the area of the surface obtained by rotating the curve y=tanx,0≤x≤π3about the x-axisb) Set-up an integral for the area of the surface obtained by rotating the curve y=tanx,0≤x≤π3about the y-axis
Answers
The area of the surface obtained by the curve rotated along the x-axis is \(S_1=\int\limits_0^{\pi/3}2\pi (\tan x)\sqrt{1+\sec^4x}\;dx\). The area of the surface obtained by the curve rotated along the y-axis is \(S_2=\int\limits_0^{\sqrt{3}}2\pi (\tan^{-1}y)\sqrt{1+\left(\frac{1}{1+y^2}\right)^2}\;dy\).
A surface type that results from rotating a curve around a specific axis is the area of the surface of revolution. The formula for the area around the x-axis is given by, \(S_1=\int\limits_a^b2\pi f(x)\sqrt{1+(f'(x))^2}\;dx\) and around the y-axis is \(S_2=\int\limits_a^b2\pi g(y)\sqrt{1+(g'(y))^2}\;dy\).
a) Given the expression is rotated about the x-axis. Let,
\(\begin{aligned}f(x)&=y\\&=\tan x \in \left[0,\frac{\pi}{3}\right] \end{aligned}\)
Then,
\(f'(x)=\sec^2x.\)
Substitute f(x) and f'(x) value in the S₁ formula, we get,
\(S_1=\int\limits_0^{\pi/3}2\pi (\tan x)\sqrt{1+\sec^4x}\;dx\)
b) Given the expression is rotated about the y-axis. Let,
\(\begin{aligned}x&=g(y)\\&=\tan^{-1}y \in \left[0, \sqrt{3}\right] \end{aligned}\)
Then,
\(g'(y)=\frac{1}{(1+y^2)}\)
Substitute g(y) and g'(y) value in the S₂ formula,
\(S_2=\int\limits_0^{\sqrt{3}}2\pi (\tan^{-1}y)\sqrt{1+\left(\frac{1}{1+y^2}\right)^2}\;dy\)
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The complete question is -
a) Set up an integral for the area of the surface obtained by rotating the curve y=tanx,0≤x≤π/3 about the x-axis.
b) Set up an integral for the area of the surface obtained by rotating the curve y=tanx,0≤x≤π/3 about the y-axis.
A shop sells dress fabric for $2.97 per metre.
A customer buys 9 metres of this fabric.
Calculate the change he receives from $50.
Answers
Answer:
He recives 23.17$
Step-by-step explanation:
2.97 × 9= 26.73
50$-26.73 = 23.27
select the slope of the line that joins the pair of points. a. (9, 10) and (7, 2) 1 of 5. 4 b. (-8, -11) and (-1, -5) 2 of 5. select choice c. (5, -6) and (2, 3) 3 of 5. select choice d. (6, 3) and (5, -1) 4 of 5. select choice e. (4, 7) and (6, 2) 5 of 5. select choice
Answers
The required slopes are:
(a) slope = 4
(b) slope = 6/7
(c) slope = -3
(d) slope = 4
(e) slope = -5/2
We know that,
When a line passing through (x₁, y₁) and (x₂, y₂)
Then the slope of the line be,
slope (m) = (y₂ - y₁) / (x₂ - x₁)
Using this formula, calculate the slope for each given points
a. (9, 10) and (7, 2)
⇒ slope (m) = (2 - 10) / (7 - 9)
= -8/-2 = 4
So, the slope is 4.
b. (-8, -11) and (-1, -5)
⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))
= 6/7
So, the slope is 6/7.
c. (5, -6) and (2, 3)
⇒ slope (m) = (3 - (-6)) / (2 - 5)
= 9/-3
= -3
So, the slope is -3.
d. (6, 3) and (5, -1)
⇒ slope (m) = (-1 - 3) / (5 - 6)
= -4/-1
= 4
So, the slope is 4.
e. (4, 7) and (6, 2)
⇒ slope (m) = (2 - 7) / (6 - 4)
= -5/2
So, the slope is -5/2.
Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.
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En una caja de cartón se empacan 400 latas de atún al acomodarlas resultan que caben 5 latas más a lo largo que a lo ancho y a lo alto caben 3 latas más que a lo ancho ¿Cuántas latas en total tocan el fondo de la caja?
Answers
Answer:
Hay 50 latas en total que tocan el fondo de la caja.
Step-by-step explanation:
Una caja de cartón es representada por un cuadrilátero, cuyas caras son rectángulos. Si la caja esta ocupada por completo, entonces la cantidad total de latas es representada por la siguiente expresión:
\(n_{V} = n_{w}\cdot n_{h}\cdot n_{l}\) (1)
Donde:
\(n_{V}\) - Total de latas de atún, adimensional.
\(n_{w}\) - Cantidad de latas de atún a lo ancho de la caja, adimensional.
\(n_{h}\) - Cantidad de latas de atún a lo alto de la caja, adimensional.
\(n_{l}\) - Cantidad de latas de atún a lo largo de la caja, adimensional.
De acuerdo con el enunciado, tenemos las siguientes relaciones:
\(n_{V} = 400\) (2)
\(n_{l} = n_{w} +5\) (3)
\(n_{h} = n_{w}+3\) (4)
Si aplicamos estas fórmulas a (1), tenemos el siguiente polinomio de tercer orden:
\(n_{w} \cdot (n_{w}+5)\cdot (n_{w}+3) = 400\)
\(n_{w}\cdot (n_{w}^{2}+8\cdot n_{w}+15) = 400\)
\(n_{w}^{3}+8\cdot n_{w}^{2}+15\cdot n_{w} -400 = 0\)
Este polinomio se puede resolver por vía analítica por el Método de Cardano o por vía numérica, sus raíces son:
\(n_{w,1} = 5\), \(n_{w,2} = -6.5+i\,6.144\), \(n_{w,3} = -6.5-i\,6.144\)
En consecuencia, la única solución válida es \(n_{w} = 5\) y las variables restantes son por (3) y (4):
\(n_{l} = 10\) y \(n_{h} = 8\)
La cantidad de latas que tocan el fondo de la caja es igual al producto de la cantidad de latas a lo largo de la caja y la cantidad de latas a lo ancho de la caja, es decir:
\(n_{A} = n_{w}\cdot n_{l}\) (5)
\(n_{A} = (5)\cdot (10)\)
\(n_{A} = 50\)
Hay 50 latas en total que tocan el fondo de la caja.
How do I use the tables to evaluate the expression
Answers
Solution:
Given:
\(\begin{gathered} To\text{ find }(fg)(9),\text{ this means:} \\ (fg)(9)=f(9)\cdot g(9) \end{gathered}\)From the table,
\(\begin{gathered} f(9)=-4 \\ g(9)=-5 \\ \\ Hence, \\ (fg)(9)=f(9)\cdot g(9)=-4\times-5 \\ (fg)(9)=20 \end{gathered}\)Therefore, the answer is 20.
what was the ending balance? a sample bank statement. responses $597.35 $597.35 $715.26 $715.26 $751.58 $751.58 $880.88 $880.88
Answers
The final balance of the bank statement was $880.88. This amount reflects deposits, withdrawals, fees, and interest accrued during the statement period.
The final balance of a bank statement is the amount of money that is in the account after all deposits, withdrawals, fees, and interest have been accounted for during the statement period. To calculate the ending balance, start with the beginning balance and then add any deposits that were made during the statement period. Then, subtract any withdrawals, fees, and interest that were charged during the statement period. The final balance will be the amount that remains after all transactions have been accounted for. In this example, the ending balance was $880.88.
The complete question:
what was the ending balance? a sample bank statement.
A) $597.35
B) $715.26
C) $751.58
D)$880.88.
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Rewrite the expression using properties of exponents:
Answers
pls help me solve thisss
Answers
Answer:
D. 8
Step-by-step explanation:
\(3\frac{3}{5} x2\frac{2}{9}\) Convert the fractions into a improper fractions
\(\frac{18}{5} x\frac{20}{9}\) Multiply 18 x 20 / 5 x 9
\(\frac{360}{45}\) Simplify
8
Larry and Jack are playing a game of rock-paper-scissors. The probability that Larry will win two times in a row is. Using this probability, determine if the event of Larry winning the first game and the second game was independent, dependent, both, or neither.
Answers
The event of Larry winning the first game and the second game was dependent since it was stated that he won two in a row.
How to depict the probability?It should be noted that dependent events are the events that depend on what happened before.
In this event, the first game is being considered in this situation. Therefore, the event of Larry winning the first game and the second game is dependent.
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ab=3(3x-1) ac =5(2x+2) solve for x , ab,bc and ac
Answers
The measure of x, AB, BC, and AC are 8, 69, 69 and 138 respectively
The point where two lines meet is known as an angle:
Given the following expressions
AB = 3(3x -1)
AC = 5(2x+2)
If B lies in the middle of AC then;
AB = BCAB + BC = ACHence;
AB + AB = AC
2AB = AC
2(9x-3) = 5(2x+2)
18x - 6 = 10x + 10
18x - 10x = 10 + 6
2x = 16
x = 16/2
x = 8
Get AB
AB = 9x - 3
AB = 9(8) - 3
AB = 72 - 3
AB = 69
Since AB = BC, hence the measure of BC os 69
Get the measure of AC:
AC = AB + BC
AC = 69 + 69
AC = 138
hence the measure of x, AB, BC, and AC are 8, 69, 69 and 138 respectively
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How many solutions does this have? 2x = 2x - 9
A. No
B. One
C. Two
D. Infinity
Answers
Answer:
A. No solutions
Step-by-step explanation:
2x-2x=-9
0= -9
Since 0 does not equal -9, there are no solutions.
Which statements are correct about the following expression? Select TWO that apply.
2y + 1
Answers
Answer:
Step-by-step explanation:
2y + 1 is a binomial, in that it has two terms.
If we set 2y + 1 equal to x, then 2y = x - 1, or
x - 1
y = -----------
2
Francis is 9 years older than Vincent. Francis is 17 years old. Let v represent how old Vincent is.
Which equation shows an equality between two different ways of expressing how old Francis is?
A. v + 9 = 17
B. v – 9 = 17
C. v x 9 = 17
D.
Answers
Answer: A
Step-by-step explanation:
Francis = v+9
17 = v +9 so A
Answer:
it would be a
Find the area of the composite figure.19 mm 25 mm 3 mm 6mm
Answers
The figure consists of a rectangle and 2 right triangles, as shown in the diagram below
The areas of a rectangle and a triangle are given by the following formulas
\(\begin{gathered} A_{\text{rectangle}}=lw \\ A_{\text{triangle}}=\frac{1}{2}b\cdot h \end{gathered}\)In our case,
\(\begin{gathered} A_{\text{rectangle}}=6\cdot19=114 \\ A_{\text{triangle}}=\frac{1}{2}(25-19)\cdot(3+3)=\frac{1}{2}\cdot6\cdot6=\frac{36}{2}=18 \end{gathered}\)Thus,
\(\begin{gathered} A_{\text{figure}}=A_{\text{rectangle}}+2A_{\text{triangle}}=114+36=150 \\ \Rightarrow A_{\text{figure}}=150 \end{gathered}\)The total area is 150mm^2
The cost of tuition at a 2 year school is $12,000 per academic year. Alejandro is eligible for $7,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school. What is the minimum amount he needs to save each month? $375 $450 $750 $1,200.
Answers
Division is one of the most basic arithmetical operators. The amount that Alejandro need to save for each month is $375.
What is division?The division is one of the most basic arithmetical operators. When we divide a number (P) by another number(q), then it tells us how many times the other number(q) must be added to itself to form the first number(P).
It is given that the cost of tuition for the two years is $12,000, while the financial aid that Alejandro is eligible for is $7500, therefore, the amount that he will not be able to pay with his scholarship(financial aid) will be the difference in the fees of the student and the financial aid he is getting.
Difference = Two-year tuition fees - Financial Aid
= $12,000 - $7,500
= $4,500
Now, since Alejandro needs to save for a year so the sum he saves is $4500 therefore, the amount he needs to save each month can be written as,
\(\text{Amount Alehjandro needs to save each moth}=\dfrac{\text{Amount that Alejandro need to save}}{\text{Number of months he needs to save}}\)
\(\text{Amount Alehjandro needs to save each moth}=\dfrac{4500}{12} = \$375\)
Hence, the amount that Alejandro need to save for each of the month so that he can pay his tuition fee is $375.
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HELPPPP MEEEE I NEED TO TURN IN THIS LATE MATH HOMEWORK
Answers
Answer:
enter the step by step answer u did and then add the number the match and enter them in the box and u shall be done
Step-by-step explanation:
compute the orthogonal projection of onto the line through and the origin. The Orthogonal Projection Is
Answers
The orthogonal projection of [-2,2] onto the line passing through the origin and the point [-1,5] is the point [0.9231, 4.6154].
Orthogonal projection is a concept in linear algebra that allows us to find the closest point on a line to a given point.
To find the orthogonal projection of the point [-2,2] onto this line, we need to find the point on the line that is closest to the given point.
This line will be the line passing through the given point and perpendicular to the given line.
So, the projection of the given point [-2,2] onto the line passing through the origin and the point [-1,5] is given by the formula:
proj_l([-2,2]) = (([-2,2] . [-1,5]) / ([-1,5] . [-1,5])) x [-1,5]
where . represents the dot product of two vectors.
Evaluating this formula, we get:
proj_l([-2,2]) = (-12/26) x [-1,5]
proj_l([-2,2]) = [0.9231, 4.6154]
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Complete Question:
Compute the orthogonal projection of [-2 2] onto the line through [-1 5] and the origin.
The orthogonal projection is
in the evenings jake and his friends would cookout and make smores for dessert. the ratio of chocolate squares to graham crackers that they used is shown in the graph below.
Answers
there is no graph :l
Step-by-step explanation:
Henry is buying school supplies for the start of the school year for every 3 pencils he buys 2 pens if Henry buys 21 pencils how many total pencils and pens did Henry buy
Answers
Total number of pencils and pens bought by Henry = 35.
What is the unitary method of problem solving?
The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Given, for every 3 pencils, number of pens bought = 2
Therefore, every 1 pencil, number of pens bought = 2/3
Thus, for 21 pencils, number of pens bought = (2/3)*21 = 14
Therefore, total number of pencils and pens bought by Henry = 21 + 14 = 35.
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A segment has endpoints at (3,−4) and (3,−17). How many units long is the segment?
Answers
The length of the line segment is 13 units.
What is a segment?A line segment includes all the points on the line between two clearly defined endpoints and is part of a line. As a one-dimensional object, a segment has only length and neither breadth nor height.
The formula for distance between two locations in a two-dimensional coordinate system, (x1, y1) and (x2, y2), is as follows:
d = \(\sqrt{x} [(x2 - x1)^2 + (y2 - y1)^2]\)
Here, the two ends of the segment are (3,-4) and (3,-17).
In this equation, predict
x₁ = 3 , y₁ = - 4 , x₂ = 3 , y₂ = - 17
We need to calculate the distance between these two locations in order to determine the segment's length:
d = \(\sqrt{x} [(3 - 3)^2 + (-17 - (-4))^2]\)
= \(\sqrt{x} [0 + (-13)^2]\)
= \(\sqrt169\)
d= 13
As a result, the distance between the segments with end positions of (3, - 4) and (3, - 17) is 13 units.
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PLEASE OPEN FILE (vertical (90) and supplementary angle(180)
Solve for D
value of e
value f
value of g
Answers
The values of the angles of d° is 120°, e° is 72°, f° is 20° and g° is 101° all can be determine by using Supplementary angles.
Define the vertical and supplementary angle?Vertical points are sets of non-adjoining points shaped by two meeting lines. Pairs of angles that add up to 180 degrees are called supplementary angles.
From the given figure,
for angle d; (the Supplementary angles)
d° + 15° + 45° = 180°
d° = 180° - 60°
d° = 120°
for angle e; (the Supplementary angles)
(e - 27°) + d° + 15° = 180° (put value of d)
e - 27° + 120° + 15° = 180°
e° = 72°
for angle f; (the Supplementary angles)
(6f)° + 45° + 15° = 180°
(6f)° = 120°
f° = 20°
for angle g; (the Supplementary angles)
(g-86)° + (6f)° + 45° = 180° (put value of f)
(g-86)° + (6×20)° + 45° = 180°
(g-86)° + 120° + 45° = 180°
g° = 101°
Therefore, the angles of d° is 120°, e° is 72°, f° is 20° and g° is 101°
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use the gradient to find the directional derivative of the function at p in the direction of pq. g(x, y, z) = xye4z, p(5, 20, 0), q(0, 0, 0)
Answers
the directional derivative of the function g(x, y, z) = xye^(4z) at point p(5, 20, 0) in the direction of pq is given by: (-1/5)(ye^(4z)) + (-4/5)(xe^(4z))
To find the directional derivative of the function g(x, y, z) = xye^(4z) at point p(5, 20, 0) in the direction of pq, we need to compute the gradient of g and then take the dot product with the unit vector in the direction of pq.
First, let's find the gradient of g(x, y, z):
∇g = (∂g/∂x, ∂g/∂y, ∂g/∂z)
Taking partial derivatives:
∂g/∂x = ye^(4z)
∂g/∂y = xe^(4z)
∂g/∂z = 4xye^(4z)
So, the gradient vector ∇g is:
∇g = (ye^(4z), xe^(4z), 4xye^(4z))
Next, we need to find the direction vector pq. The direction vector from p to q is given by:
pq = q - p = (0 - 5, 0 - 20, 0 - 0) = (-5, -20, 0)
To calculate the directional derivative, we take the dot product of the gradient vector ∇g and the unit vector in the direction of pq:
Directional derivative = ∇g · (pq / ||pq||)
where ||pq|| is the magnitude of the vector pq.
First, let's find the magnitude of pq:
||pq|| = sqrt((-5)^2 + (-20)^2 + 0^2) = sqrt(625) = 25
Now, let's calculate the directional derivative:
∇g · (pq / ||pq||) = ∇g · (-5/25, -20/25, 0/25)
= ∇g · (-1/5, -4/5, 0)
= (-1/5)(ye^(4z)) + (-4/5)(xe^(4z)) + 0
Therefore, the directional derivative of the function g(x, y, z) = xye^(4z) at point p(5, 20, 0) in the direction of pq is given by:
(-1/5)(ye^(4z)) + (-4/5)(xe^(4z))
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23. How many different outfits can be put together using 3 different pairs of pants, 2 shirts and 2 pairs of shoes
Answers
There are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.
There are 12 different outfits that can be put together using 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.
How to solve the problem:
To find out the number of different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes, we will simply multiply the number of options for each category together.
Number of options for pants = 3
Number of options for shirts = 2
Number of options for shoes = 2
Number of different outfits that can be put together
= 3 × 2 × 2
= 12
Therefore, there are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.
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Find X (2/3 x) (x + 40)
Answers
The Answer Is X=84
Make an equation for x.
x+40+2/3x=180
x+2/3x=140
Combine like terms.
1 2/3x=140
140/1 2/3 =84
x=84
in the figure below, what is the measure of angle x
Answers
Check the picture below.
