EMERGENCY! Please give me the correct answer!​

Answer:

-28

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

Answer:

  12

Step-by-step explanation:

In 8 years, the difference in their ages will still be 10 years. If Winnie is half as old as Greg then, Greg will be 20 in 8 years (and Winnie will be 10).

Greg is 12 years old now.

___

Winnie is 2 years old now.

Answer:

1 West and 1 South.

___________________________

The origin is (0,0).

Cory is currently at (1,1)

To move from (1,1) to (0,0):-

We need to Subtract 1 from both X and Y coordinates,

To do that, We need to move in the Negative direction in both X and Y.

On the X axis.. Moving West 1 step, (1 - 1 = 0).

On the Y axis.. Moving South 1 step, (1 - 1 = 0).

hope this helped.

Answer: A ratio compares two numbers or two quantities. The two numbers being compared are called terms. ... A rate is a special ratio that compares two quantities that have different units of measure. If the second term in a rate is 1, the ratio is called a unit rate.

Step-by-step explanation:

A ratio compares two numbers or two quantities. The two numbers being compared are called terms. ... A rate is a special ratio that compares two quantities that have different units of measure. If the second term in a rate is 1, the ratio is called a unit rate.

Answer:

$66.80

Step-by-step explanation:

The monthly payment can be computed using the pmt formula in excel spreadsheet as shown below:

=pmt(rate,nper,-pv,fv)

the rate is the interest rate of 3.5% divided by 12 months to show interest rate per month

nper is the number of months it would take to complete the payments which is 4 years multiplied by 12 months i.e 48 months

pv is the cost of the gadget at $2,988

fv is the sum of all month payments which is not unknown

=pmt(3.5%/12,48,-2988,0)=$66.80  

Answer:

Graph B

Step-by-step explanation:

Point-line graphs are usually used to compare data over a course of time, and bar graphs are more commonly used to compare statistics between different data sets (in this case it is between different countries)

translating phrases and sentences into expressions, equations, and inequalities is an important skill in mathematics. It involves identifying key words and phrases that indicate mathematical operations and relationships. By understanding these key words, we can represent real-world problems using mathematical language and symbols, making it easier to solve and analyze them.

translating phrases and sentences into expressions, equations, and inequalities

When solving mathematical problems, it is often necessary to translate phrases and sentences into mathematical expressions, equations, and inequalities. This process involves identifying key words and phrases that indicate mathematical operations and relationships.

For example, let's consider the following sentence:

'The sum of a number and 5 is equal to 12.'

In this sentence, the key words 'sum,' 'number,' 'equal to,' and '12' indicate that we need to perform addition and find the value of the unknown number. We can represent this sentence as the following equation:

x + 5 = 12

Here, 'x' represents the unknown number.

Similarly, let's consider the following sentence:

'Twice a number decreased by 7 is greater than 15.'

In this sentence, the key words 'twice,' 'decreased by,' 'greater than,' and '15' indicate that we need to perform multiplication, subtraction, and comparison. We can represent this sentence as the following inequality:

2x - 7 > 15

Here, 'x' represents the unknown number.

By understanding key words and phrases, we can effectively translate real-world problems into mathematical language and solve them using expressions, equations, and inequalities.

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1) An inequality to represent the given phrase is 5q>30.

2) An equation to represent the given phrase is 2b²=8.

1) The given phrase is "The product of 5 and q is greater than 30."

Here, the product of 5 and q = 5×q

= 5q

Now, the product is greater than 30.

Thus, 5q>30

q>30/5

q>6

2) The given phrase is "Twice the square of b is equal to 8."

Here, the square of b = b×b

= b²

Twice the square of b = 2b²

So, the product is equal to 8.

That is. 2b²=8

b²=4

b=±2

Therefore,

1) An inequality to represent the given phrase is 5q>30.

2) An equation to represent the given phrase is 2b²=8.

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"Your question is incomplete, probably the complete question/missing part is:"

Translate phrases and sentences into expressions, equations and inequalities.

1) The product of 5 and q is greater than 30.

2) Twice the square of b is equal to 8.

The function \(h(x) = (x + 7)²\) can be expressed in the form f(g(x)), where\(f(x) = x²\), and \(g(x) = x + 7.\)

Given function: \(h(x) = (x + 7)²\)

To express the given function h(x) in the form of\(f(g(x))\), we need to find an intermediate function g(x) such that \(h(x) = f(g(x)).\)

Let's find the intermediate function \(g(x):g(x) = x + 7\)

Therefore, we can express h(x) as:

\(h(x) = (x + 7)²\\= [g(x)]²\\= [x + 7]²\)

Now, let's define \(f(x) = x²\)

So, we can express h(x) in the form of f(g(x)) as:

\(f(g(x)) = [g(x)]²\\= [x + 7]²\\= h(x)\)

Therefore, the function \(h(x) = (x + 7)²\) can be expressed in the form f(g(x)), where\(f(x) = x²\), and \(g(x) = x + 7.\)

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Answer:

1. 25%

2. 33.33%

3. -60%

4. 9.09%

Step-by-step explanation:

1. 5 - 4 = 1

1/4 = 0.25 = 25%

2. 100 - 75 = 25

25/75 = 0.3333 = 33.33%

3. 2 - 5 = -3

-3/5 = -0.6 = -60%

4. 24 - 22 = 2

2/22 = 0.0909 = 9.09%

Answer:

X'= (-3,6)

Y'=(7,8)

Z'=(11,2)

Step-by-step explanation:

when a point is reflected over the y axis, (x,y) becomes (-x,y). so the x value is just multiplied by -1

Answer:

X′(−3, 6), Y′(7, 8), Z′(11, 2)

Step-by-step explanation:

Imagine you are a spy who needs to infiltrate a secret base located at the origin of the coordinate plane. You have three accomplices, X, Y, and Z, who are waiting for you at different points on the plane. X is at (3, 6), Y is at (-7, 8), and Z is at (-11, 2). You have a device that can reflect any point over the y-axis, which you plan to use to confuse the enemy guards. You decide to reflect X, Y, and Z over the y-axis to create X', Y', and Z', respectively. What are the coordinates of these new points?

To find the coordinates of X', you simply change the sign of the x-coordinate of X. So, X' is at (-3, 6). Similarly, to find the coordinates of Y' and Z', you change the sign of the x-coordinates of Y and Z. So Y' is at (7, 8) and Z' is at (11, 2). Now you have three new points that are symmetric to the original ones over the y-axis.

But wait! There's a problem. The enemy guards have noticed that something is wrong. They see four points on their radar: one at the origin (you) and three on the right side of the y-axis (X', Y', and Z'). They realize that these points are reflections of some other points on the left side of the y-axis. They quickly deduce that there must be a spy among them. They start searching for you.

You need to act fast. You use your device again to reflect yourself over the y-axis. This creates a new point at (-0, 0), which is exactly the same as (0, 0). You have effectively disappeared from their radar. You sneak into the base while they are busy looking for you on the wrong side of the plane.

You have successfully completed your mission. Congratulations! You are a master of reflections.

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧

Answer:

AE = 22.86

Step-by-step explanation:

In triangle CDE

cos 30° = CD/CE

\( \frac{\sqrt 3}{2} = \frac {7\sqrt 3}{CE}\)

\(CE= {7\sqrt 3}\times \frac{2}{\sqrt 3} \)

\(CE= 14 \)

In triangle BCE

sin 45° = CE/BE

\( \frac{1}{\sqrt 2}= \frac{14}{BE}\)

\(BE= 14\sqrt 2\)

In triangle ABE

sin 60° = BE/AE

\( \frac{\sqrt 3}{2}= \frac{14\sqrt 2}{AE}\)

\(AE= 14\sqrt 2\times\frac{2}{\sqrt 3} \)

\(AE= \frac{28\sqrt 2}{\sqrt 3} \)

\(AE= \frac{28\sqrt 6}{ 3} \)

\(AE= \frac{68.5857128}{ 3} \)

AE = 22.8619043

AE = 22.86

Answer:

30

Step-by-step explanation:

Hope this helps.

True. The mathematical equations that describe simple harmonic motion (SHM) involve sine and cosine functions. For example, if the block is released at a distance from its equilibrium position, its displacement x varies with time t according to the equation x = a cos(ωt), where ω is the angular frequency of the motion.

True. Due to the periodic properties of Simple Harmonic Motion (SHM), the mathematical equations that describe this motion involve sine and cosine functions. If the block is released at a distance A from its equilibrium position, its displacement x varies with time t according to the equation:

x(t) = A * cos(ωt + φ)

where A is the amplitude, ω is the angular frequency, t is time, and φ is the phase angle. Both sine and cosine functions are used to describe the displacement, velocity, and acceleration of an object in SHM because of their periodic nature.

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The values of T, N and k for the space curve can be seen in the given image.

A vector space in mathematics represents a set of vectors that meet particular requirements.

A vector, detected as an array of values, presents the direction and magnitude of any object. As per this definition, within a vector space, these configured objects can be added together and even oscillated by a definitive number referred to as scalar multiplication.

Closure under addition or scalar multiplication, commutativity, associativity, zero-vector existence and inverses are some critical features necessary for classifying this ensemble of vectors as a vector space.

Significantly utilized in geometry, linear algebra, functional analysis, not forgetting physics, engineering, and computer science being areas where their application is regular.

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Answer:

Step-by-step explanation:

overall the answer is wrong i say it is the first one  

Answer:

The first one is theost plausible because root 16 is 4, 30 + 4 is 34, the actual answer is 25.38

a. To find the steady-state response Yss(t) to the given input function f(t) = 6sin(9t) using the transfer function T(S) = Y(S)/F(S) = 8/s(s^2 + 10s + 100), we can use the formula Yss(t) = lim(t→∞) y(t), where y(t) = L^-1 [T(S) F(S)], L^-1 denotes inverse Laplace transform, and F(S) is the Laplace transform of f(t).

First, we need to find the Laplace transform of f(t):
F(S) = L{f(t)} = L{6sin(9t)} = 6L{sin(9t)} = 6(9/S^2 + 81)

Then, we can find Y(S) using Y(S) = T(S) F(S):
Y(S) = 8/s(s^2 + 10s + 100) * 6(9/S^2 + 81)
Y(S) = 432/(s^3 + 10s^2 + 100s)

Next, we need to find the inverse Laplace transform of Y(S) to get y(t):
y(t) = L^-1 [432/(s^3 + 10s^2 + 100s)]
y(t) = 36(cos(5t) - sin(5t)) + 24e^-5t

Finally, we can find Yss(t) by taking the limit as t approaches infinity:
Yss(t) = lim(t→∞) y(t) = 36(cos(5t) - sin(5t))

Therefore, the steady-state response Yss(t) to the input function f(t) = 6sin(9t) using the transfer function T(S) = 8/s(s^2 + 10s + 100) is Yss(t) = 36(cos(5t) - sin(5t)).

b. To find the steady-state response Yss(t) to the given input function f(t) = 92(5+1)' using the transfer function T(S) = Y(S)/F(S) = 10/(S^2 + 5S + 6), we can follow the same steps as in part a.

First, we need to find the Laplace transform of f(t):
F(S) = L{f(t)} = L{9(2(5+1)')} = 18L{(5+1)'} = 18(S/(S+1)^2)

Then, we can find Y(S) using Y(S) = T(S) F(S):
Y(S) = 10/(S^2 + 5S + 6) * 18(S/(S+1)^2)
Y(S) = 180S/(S+1)^2(S+3)

Next, we need to find the inverse Laplace transform of Y(S) to get y(t):
y(t) = L^-1 [180S/(S+1)^2(S+3)]
y(t) = 60(2e^-t - te^-t) + 60e^-3t

Finally, we can find Yss(t) by taking the limit as t approaches infinity:
Yss(t) = lim(t→∞) y(t) = 60e^-3t

Therefore, the steady-state response Yss(t) to the input function f(t) = 92(5+1)' using the transfer function T(S) = 10/(S^2 + 5S + 6) is Yss(t) = 60e^-3t.
Hi, I'll help you find the steady-state response Yss(t) for both given transfer functions and input functions.

a. Transfer function: T(s) = 8 / [s(s^2 + 10s + 100)], Input function: f(t) = 6 sin(9t)

To find the steady-state response, we'll first need to find the Laplace Transform of the input function: F(s) = L{6 sin(9t)} = 6(9) / (s^2 + 9^2) = 54 / (s^2 + 81).

Now, we'll find Y(s) by multiplying T(s) with F(s): Y(s) = T(s) * F(s) = 8 / [s(s^2 + 10s + 100)] * [54 / (s^2 + 81)].

Finally, we'll find the inverse Laplace Transform of Y(s) to get Yss(t): Yss(t) = L^{-1}{Y(s)}.

b. Transfer function: T(s) = 10 / [s^2(5 + s)], Input function: f(t) = 9 sin(2t)

Similarly, we'll find the Laplace Transform of the input function: F(s) = L{9 sin(2t)} = 9(2) / (s^2 + 2^2) = 18 / (s^2 + 4).

Next, we'll find Y(s) by multiplying T(s) with F(s): Y(s) = T(s) * F(s) = 10 / [s^2(5 + s)] * [18 / (s^2 + 4)].

Lastly, we'll find the inverse Laplace Transform of Y(s) to get Yss(t): Yss(t) = L^{-1}{Y(s)}.

Please note that finding the inverse Laplace Transforms for both cases would require further calculations and possibly the use of tables or software.

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Assuming that the random variable X is normally distributed with a mean (µ) of 100 and a standard deviation (σ) of 10, you are looking to compute the probability P(X < 108). Probability in this case was found to be 0.788

To find this probability, we can utilize the standard normal distribution (Z-distribution) by converting the given value (X = 108) into a Z-score using the following formula:  Z = (X - µ) / σ
plugging in the given values, we get:
Z = (108 - 100) / 10

Z = 0.8

Now, we can find the probability P(X < 108) by looking up the corresponding value in the Z-table, which gives us the area under the standard normal curve to the left of the Z-score. For Z = 0.8, the table value is approximately 0.7881. This means that the probability P(X < 108) is approximately 0.7881, or 78.81%.

Therefore, among the given options, 0.788 is the closest and most accurate answer for the probability P(X < 108) in a normally distributed random variable with a mean of 100 and a standard deviation of 10.

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Considering the sum of the internal angles of a triangle, the measures are given as follows:

The sum of the internal angles of a triangle is of 180º.

In general terms, the sum of the internal angles of a polygon of n sides is given by:

S = (n - 2) x 180º.

For a triangle, n = 3, hence S = 180º.

For this problem, the three internal angles of the triangle are given as follows:

7x - 4, 4x, 73.

Hence we can solve for x applying the sum as follows:

7x - 4 + 4x + 73 = 180

11x = 111.

x = 10.09.

Hence:

A = 4x = 4 x 10.09 = 40.36º.

B = 7 x 10.09 - 4 = 66.64º.

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f(x) is concave down on an interval I if all of the tangents to the curve on I are above the graph of f(x)

Answer: 3 / 10

Step-by-step explanation:

It's a 30% chance.

Answer:

I dont know the probability scale letters, but the probability of getting a yellow sweet would be 3/10, 0.3, or 30% (they all say the same thing just different ways)

Hope this helps :)

Step-by-step explanation:

Answer:

The symbol (∞) is read as infinity. and indicates that the set is unbounded to the right on a number line. Interval notation requires a parenthesis to enclose infinity. The square bracket indicates the boundary is included in the solution.

Step-by-step explanation:

Answer:

10.11875

Step-by-step explanation:

just take $10,000 then multiply it by 0.0475 then multiply that py 0.25 then whatever you get just add $10,000

Answer:

x = 0, x = - 1

Step-by-step explanation:

The solutions are at the points of intersection of the graphs of f(x) and g(x)

The points of intersection occur at x = 0 and x = - 1

Then the solutions are x = 0, x = - 1

Answer: y = 1 and x = 4

Step-by-step explanation:

-8x + 10y = -22

8x - 15y = 17

-----------------------

- 5y = -5 Add the two equations to eliminate x

y = 1 Solve for y

=====

8x - 15y = 17 (y = 1) Use y=1 in either equation

8x - 15 = 17

8x = 32

x = 4 Ta da

Answer:

solution:  x = 4, y = 1 or (4, 1)

Step-by-step explanation:

To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):

-8x + 10y = -22

+ 8x -  15y =  17

       - 5y  = -5

Divide both sides by -5 to solve for y:

\(\frac{-5y}{-5} = \frac{-5}{-5}\)

y = 1

Next, substitute the value of y into one of the equations to solve for x:

-8x + 10y = -22

-8x + 10(1) = -22

-8x + 10 = -22

Subtract 10 from both sides

-8x + 10 - 10 = -22 - 10

-8x = -32

Divide both sides by -8 to solve for x:

\(\frac{-8x}{-8} = \frac{-32}{-8}\)

x = 4

Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).

Answer:

l=30ft

h=10ft

Step-by-step explanation:

Area 'A' is defined as the product of length and height

\(A=lh=300ft^2\\h= \frac{1}{3} l\)

\(\\300=l( \frac{1}{3}l)\\300=\frac{1}{3} l^{2}\\900=l^{2}\\30=l\\l=30ft\\\\h= \frac{1}{3}(30)\\h=10ft\)

Thus,  the length and the height of the wall is 30 ft and 10 ft respectively.

Answer:

B 8.5 Pounds

Step-by-step explanation:

I hope this helps!

Answer: 8.5

Step-by-step explanation:

16 ounces is a pound

so we divide 136 by 16 and get 8.5

Answer:

Step-by-step explanation:

See attached image

Explanation: I would use the substitution method for this system

because one of the variables, x, is already isolated in the first equation.

Since our first equation states that x = 12 - y, 12 - y can be substituted

in for x in the second equation which becomes 2(12 - y) + 3y = 29.

Now we can solve this equation by first distributing the 2

through the parentheses to get 24 - 2y + 3y = 29 and you

should be able to easily finish solving from here to get y = 5.

Now substitute a 5 back in for the first equation to get

x = 12 - (5) or x = 7 which means that our solution is (7, 5).

The experimental units in this setting are the white shirts.

A physical entity that is the primary unit of interest in a specific research objective in an experimental study. The experimental unit is typically the person, animal, or object that is the subject of the experiment.

An experimental unit is a treatment-receiving item (or physical entity). In most experiments, identifying the experimental unit is a simple task, but there are exceptions.

Since the researcher conducts an experiment using 10 loads of white shirts with similar stains. The white shirts are the experimental units.

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