Answer:
32 miles
Step-by-step explanation:
I just took away 16 from 48 and I got 32
Answer:
16 + x = 48; x = 32 miles
Step-by-step explanation:
because the total is 48 miles that is on the right with an equal sign to the left of it
the x represents how much left she has to travel
she already traveled 16 miles so you add that to x on the left
16 + x = 48
then you can subtract 16 on both sides and be left with 32 miles
At 10:00 am, Han and Tyler both started running toward each other from opposite ends of a 10 mile path along a river. Han runs at a pace of 12 minutes per mile Tyler runs at a pace of 15 minutes per mile, HOW FAR DOES HE RUN AFTER AN HOUR?
Answer:
Tyler runs 4 miles, and Han runs 5 miles.
Step-by-step explanation:
60 minutes in an hour.
60/12=5 miles for Han
60/15=4 miles for Tyler
The stress tensor components & or a continuum are given as ti^= x Sij dkk +2ß dij
depending on the strain tensor. Show that the equations of motion for this medium can be written as gvi = p fit (x+p) √3, i5 +ß vi, Ĵ5
∝ and are known constants.
The equation of motion for a medium can be given as gvi = p fit (x+p) √3, i5 + ß vi, Ĵ5. In this equation, the known constants are p, g, ß, and Ĵ5. The components of the stress tensor & or a continuum are given as ti^= x Sij dkk +2ß dij depending on the strain tensor.
We have to show that the equations of motion for this medium can be written in the above form.Let us consider the stress tensor's divergence to derive the equations of motion for this medium.
According to the principle of conservation of mass, the divergence of the stress tensor is equal to the force density, which is given by the following equation:ti^,j = fjHere, the comma indicates partial differentiation. Therefore, the force density is given as:f = tii,j = x Sij,k dkk,j + 2ß dij,j = x (∂Sij/∂xi + ∂Sij/∂xj) dkk + 2ß ∂dij/∂xjThe equilibrium of forces in this medium can be given as follows:gvi = - fi - p δi3 (x+p) √3.
The divergence of the stress tensor and the force density is used to derive the above equation. Now, let us consider the force density to derive the equations of motion of the medium. According to Newton's second law of motion, the force acting on a body is equal to the product of its mass and acceleration.
Therefore, the force density can be given as:f = p(dv/dt)Here, p is the density of the medium. The acceleration of the medium can be given as follows:a = dv/dtTherefore, the force density can be rewritten as:f = paHere, a is the acceleration of the medium.
Equating the two expressions for force density, we get:pa = x (∂Sij/∂xi + ∂Sij/∂xj) dkk + 2ß ∂dij/∂xjWe know that the stress tensor is symmetric. Therefore, the above equation can be simplified as:pa = x (∂Sij/∂xi + ∂Sji/∂xi) dkk + 2ß ∂dij/∂xjNow, we can simplify the above equation further by introducing a tensor notation.
Therefore, the above equation can be given as:pa = x (∂Si j/∂xi) dkk + 2ß (∂di j/∂xj)The above equation is the equation of motion for the medium in tensor notation. We can simplify this equation further by introducing the stress tensor and the Kronecker delta.
Therefore, the equation of motion can be given as follows:pa = x (∂Si j/∂xi) δkk + 2ß (∂di j/∂xj)Here, the Kronecker delta is used to simplify the above equation. Therefore, we can rewrite the equation as:
pa = x (∂Si j/∂xi) δij + 2ß (∂di j/∂xj)Here, we have used the Einstein summation convention to simplify the above equation.
Therefore, the equations of motion for this medium can be written as:gvi = p fit (x+p) √3, i5 + ß vi, Ĵ5.
The equations of motion for a medium can be derived using the stress tensor's divergence and the force density. The stress tensor components & or a continuum can be given as ti^= x Sij dkk +2ß dij depending on the strain tensor.
The equations of motion for this medium can be written as gvi = p fit (x+p) √3, i5 +ß vi, Ĵ5.
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End Behaviors
For each graph,
a.) describe the end behavior
b.) determine whether it represents an odd-degree or an even degree function
c.) state the number of real zeros
#1
Left:-RiseRight:-Fall#2
Left:-FallRight:-Rise#Degree:-Find nodes
#1
1Odd degree function#2
2Even degree function#Real zerosFind x intercepts
#1
2#2
5Write an equation for the translation of y=|x| 8 units left
Answer:
y=|x + 8|
Step-by-step explanation:
y = f(x + C) C > 0 moves it left
y=|x + 8| since we want to move it 8 units to the left
Answer:
y = |X + 8|
Step-by-step explanation:
This seems counterintuitive. However, if you've studied a graph of an equation, you would notice two observations:
1. If you add a positive integer to the X, the graph would shift to the left
2. (The converse) if you add a negative integer to the X, the graph would shift right.
John has 3 apples. Mrs. Meaner takes 2.3283929037213729132183213892382132 apples away from him. How many does he have left?
Click this link to view O*NET’s Work Activities section for Loading Machine Operators. Note that common activities are listed toward the top, and less common activities are listed toward the bottom. According to O*NET, what are some common work activities Loading Machine Operators perform? Select four options. Operating vehicles, mechanized devices, or equipment interacting with computers scheduling work and activities identifying objects, actions, and events inspecting equipment, structures, or material getting information
Answer:
so it is 12 45
Step-by-step explanation:
Answer:
its actually 1 4 5 6
Step-by-step explanation:
The total cost (t) after 8% sales tax is added to an item’s price (p): 1.08=t
Step-by-step explanation:
Use an area model to multiply (3x+7)(4x+5).
Fill in the blanks with the correct numbers.
Answer:
12^2 + 43x + 35
Step-by-step explanation:
(3x+7)(4x+5)
=(3x+7)(4x+5)
=(3x)(4x)+(3x)(5)+(7)(4x)+(7)(5)
=12x2+15x+28x+35
=12x2+43x+35
A box of cereal contains 13 1/2 cups of cereal. Maria's children eat 1 1/2 cups of cereal each day.
How many days will the box of cereal last?
Answer:
12 days
Step-by-step explanation:
Covert them in decimals first
13 1/2 will be 13.5
1 1/2 will be 1.5
= 13.5-1.5
= 12 days
I hope it helps.
============================================================
Explanation:
The mixed number 13 & 1/2 converts to the improper fraction 27/2
Use this formula to convert
a & b/c = (a*c+b)/c
So,
13 & 1/2 = (13*2+1)/2 = 27/2
Through similar steps, you should find that 1 & 1/2 = 3/2.
We have 27 half cups of cereal total and the children eat 3 half cups per day. Divide the two values and ignore the "half cups" units because they cancel when we divide.
27/3 = 9
The cereal will last 9 days.
----------------
Another way to find the answer:
13 & 1/2 = 13 + 1/2 = 13 + 0.5 = 13.5
1 & 1/2 = 1 + 1/2 = 1 + 0.5 = 1.5
There are 13.5 cups of cereal total and they eat 1.5 cups of it per day
(13.5)/(1.5) = 9 days is how long the cereal will last
The angle of depression of a boy from a top of a vertical Cliff 120 high is 22.7 . Find the distance of the boy from the base of the Cliff
Answer:
wowwowowowowowowwowowowwowowow
a restaurant offers two different kinds of soup and five different kinds of salad. (a) if you are having either soup or salad, how many choices do you have? (b) if you are having both soup and salad, how many choices do you have?
If you are having either soup or salad, you have 7 choices in total (2 kinds of soup + 5 kinds of salad). If you are having both soup and salad, you have 10 choices in total (2 kinds of soup x 5 kinds of salad).
(a) If you are having either soup or salad, you have two choices of soup and five choices of salad. To find the total choices, add the two options together:
2 (soups) + 5 (salads) = 7 choices
(b) If you are having both soup and salad, you need to find the combinations of soup and salad. To do this, multiply the number of soups by the number of salads:
2 (soups) x 5 (salads) = 10 choices
So, you have 7 choices for either soup or salad, and 10 choices for both soup and salad.
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Ok guys i need your help. can someone give me the answer and EXPLAIN it? I don´t get any of this and if someone explains, it MIGHT help.
Answer: C. y=25x+125
Step-by-step explanation:
it multiplies by 75 and adds 125 each time
Mike bought a total of 50 tickets that costed $29. If the ride tickets were 70cents and the game tickets were 50 cents how many ride tickets did he buy
Answer:
Mike bought 20 ride tickets.---------------------------------
Let r be the number of ride tickets Mike bought and g be the number of game tickets.
From the problem, we know that:
And we also know that:
0.70r + 0.50g = 29 (because the ride tickets cost 70 cents and the game tickets cost 50 cents, and he spent a total of $29).Let's first simplify the second equation, by multiplying both sides by 100 to get rid of decimals:
70r + 50g = 2900Now we can use the first equation to solve for g in terms of r:
g = 50 - rWe can substitute this into the second equation:
70r + 50(50 - r) = 2900 70r + 2500 - 50r = 2900 20r = 400 r = 20So Mike bought 20 ride tickets.
Find an equivalent ratio in simplest forms 10:45
\(10~~ : ~~45\implies \cfrac{10}{45}\implies \cfrac{5\cdot 2}{5\cdot 9}\implies \cfrac{5}{5}\cdot \cfrac{2}{9}\implies \cfrac{2}{9}\implies 2~~ : ~~9\)
is shape A congruent to shape 82BA
Solution
For this case the answer would be:
yes
And the reason is because we have the same shape and with the smae structure so then are congruent
i dont know if im right or not
Answer:
You are right
Step-by-step explanation:
80% of a number is always going to be less than 100% of a number. Assuming the numbers positive, which it said
Answer: its >
Step-by-step explanation: beacuse80% x .01 =0.008 and 0.008= 0.8%
Please help quickly!!! The triangles are similar. AC=___ units
Answer:
Step-by-step explanation:
EB/BC=15/12=5/4
ED/AC=X+5/Y=5/4
5y=4x+20
y=0.8x+4
Find the 2 numbers whose product is -78 and sum is -7.
Answer:
The two numbers are -18 and 11 or 7 and -14, since the order of the numbers does not matter in finding their product and sum.
Step-by-step explanation:
Given the product of two numbers is -78 and their sum is -7, we can use algebra to find these two numbers. Let's call these numbers x and y. Then, we have:
x * y = -78
x + y = -7
We can use the second equation to solve for one of the variables and then substitute it into the first equation to find the other variable. For example, solving for x:
x = -7 - y
x * y = -78
(-7 - y) * y = -78
-7y - y^2 = -78
y^2 + 7y + 78 = 0
This is a quadratic equation which can be solved using the quadratic formula or factoring. The two solutions for y are -14 and 11. Then, we can use the second equation to find x:
x = -7 - y
x = -7 - (-14) = 7
x = -7 - 11 = -18
So, the two numbers are -18 and 11 or 7 and -14, since the order of the numbers does not matter in finding their product and sum.
HELP PLEASE
Find the value of x.
110°
50
5x
A. 10
B. 36
C. 8
O D. 12
4. A map of an amusement park is shown on a coordinate plane, where each square
of the grid represents 1 square meter. The water ride is at (3,8), and the roller
coaster is at (27,40).
The Ferris wheel is located halfway between the water ride and the roller
coaster. What is the location point of the Ferris wheel? Show your work or
explain your reasoning.
If Tiffany and her sister are at the Ferris wheel and their parents are
waiting for them at the water ride, how far do they need to walk? Show
your work or explain your reasoning.
The hotdog stand is located directly east of the water ride. The distance between the hotdog stand and the water ride is the same as that as the distance between the Ferris wheel and the water ride. what are the coordinates of the hotdog stand? show your work or explain your reasoning.
Using cartesian coordinates concepts such as midpoint and distance between two points, it is found that:
The location point of the Ferris wheel is (15,24).They need to walk 20 units.The coordinates of the hotdog stand are (23,8).Water ride is at point (3,8).Roller coaster is at point (27,40).The Ferris wheel is at the midpoint of the water ride and the roller coaster, thus it's coordinates are the mean of their coordinates.\(x = \frac{3 + 27}{2} = 15\)
\(y = \frac{8 + 40}{2} = 24\)
The location point of the Ferris wheel is (15,24).
The distance between two points, \((x_1,y_1)\) and \((x_2,y_2)\) is given by:
\(D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
Here, Tiffany and her sister are at (15,24) while their parents are at (3,8). Thus, their distance is:
\(D = \sqrt{(15 - 3)^2 + (24 - 8)^2} = 20\)
They need to walk 20 units.
Hotdog stand is directly east of the water ride, thus, it has the same y-coordinate, while the x-coordinate is increased.The distance is of 20 units, thus:\((3 + 20, 8) = (23,8)\)
The coordinates of the hotdog stand are (23,8).
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what is the measure of ABC?
Answer:
ABC = 55°
Step-by-step explanation:
Angle A plus Angle C equals Angles B.
Add them together then subtract from 180°.
The roof of a gazebo is a regular octagonal pyramid. If the base of the pyramid has sides of 0.5 meters and the slant height of the roof is 1.9 meters, find the area of the roof. (roof is lateral surface area)
Answer:
The area of the roof is 3.80 m².
Step-by-step explanation:
The lateral surface area of an octagonal pyramid is given by:
\(A = 2s(\sqrt{4h^{2} + 5.828s^{2}})\) (1)
Where:
s: is the length of the base edge = 0.5 m
h: is the height
We can find the height from the slant height (S = 1.9 m):
\( S = \sqrt{h^{2} + 1.457s^{2}} \) (2)
By solving equation (2) for "h" we have:
\( h = \sqrt{S^{2} - 1.457s^{2}} = \sqrt{(1.9)^{2} - 1.457(0.5)^{2}} = 1.80 m \)
Now, we can calculate the area of the roof (equation 1):
\(A = 2s(\sqrt{4h^{2} + 5.828s^{2}}) = 2*0.5(\sqrt{4(1.80)^{2} + 5.828(0.5)^{2}}) = 3.80 m^{2}\)
Therefore, the area of the roof is 3.80 m².
I hope it helps you!
What graph is defined by the function (x+3)(x+3)? (apex)
Answer:
graph A
Step-by-step explanation:
(x+3)(x+3) is the x-intercepts of the parabola.
x+3=0 is how to determine the x-intercept.
x= -3
Since both of them are -3, the graph would be A, because the part where the graph touches the x axis is -3.
What is the negative zero of the quadratic function f(x) = 4x2 – 81?
Julie went to the post office and bought both $0.41 stamps and $0.26 postcards. She spent $51.40. The number of stamps was 20 more than twice the number of postcards. How many of each did she buy?
The number of postcards she bought is 40.
What are a formula and an equation?Your example is an equation since an equation is any expression with an equals sign. Due of mathematicians' love of equal signs, equations are commonly used in mathematical expressions.
A formula is a collection of guidelines for producing a specific outcome.
Write the equation by adding the total values of each item.
0.41 (2p+20)+0.26p = 51.40
We can solve this equation for p to find the number of postcards.
0.41(2p+20)+0.26p =51.40
0.82p+8.20+0.26p=51.40
1.08p=43.2
p=40
So, the number of postcards she bought is 40. Since the number of 41-cent stamps is 20 more than twice the number of postcards, the number of 41-cent stamps is 2(40)+20=100.
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PLEASE HELP 10 POINTS
r - I0 = -(10 - r)
Answer:
Infinite Number of Solutions
Step-by-step explanation:
\(r-10=-(10-r)\\\\r-10=-10+r\\\\r-10+10=-10+10+r\\\\r=r\\\\r-r=r-r\\\\\boxed{0=0}\)
The sides are even. There are an infinite number of solutions.
what is -2r plus 3 greater than or equal to 19
Answer:
r ≤-8
Step-by-step explanation:
-2r + 3 ≥19
Subtract 3 from each side
-2r + 3-3 ≥19-3
-2r≥16
Divide each side by -2, remembering to flip the inequality
-2r/-2 ≤16/-2
r ≤-8
what is the angle of x when the other is 51
Answer:
I'm sorry, your question is not clear. Please provide more information or context so I can better understand what you are asking.
Step-by-step explanation:
Mia rides her bike 15 1/4 miles every day.
How many miles does Mia ride in 4 days?
Answer:
61 miles
Step-by-step explanation:
Since the distance Mia travels is constant, we can find the distance travelled over four days by multiplying 15 1/4 by 4:
(15 1/4) * 4 = 61
Thus, Mia travels 61 miles in 4 days
Question 2 Given the following the equation: f(x) = 2.1. Find the poles and zero analytically s+1 s² + s +1
The zero of the equation f(x) = (s + 1) / (s² + s + 1) is s = -1, and the equation does not have any real-valued poles.
To find the poles and zero of the given equation f(x) = (s + 1) / (s² + s + 1), we can set the numerator and denominator equal to zero and solve for the values of s that make them equal to zero.
2.1. Finding the poles and zero analytically:
The numerator is s + 1. To find the zero, we solve for s:
s + 1 = 0
s = -1
The denominator is s² + s + 1. To find the poles, we set the denominator equal to zero and solve for s:
s² + s + 1 = 0
Using the quadratic formula, we have:
s = (-b ± √(b² - 4ac)) / (2a)
In this case, a = 1, b = 1, and c = 1. Substituting these values:
s = (-1 ± √(1 - 4(1)(1))) / (2(1))
= (-1 ± √(-3)) / 2
Since the discriminant (-3) is negative, the equation does not have any real solutions. Therefore, there are no real-valued poles for this equation.
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