Answer:
What’s your question

A.3(f) The line graphed on the grid represents the first of two equations in a system of linear equations.20-1612-8-20 -16 -12--4481216 2024-8-1216If the graph of the second equation in the system passes through (-12, 20) and (4,12), which statement is true?

Graph or explain how to graph the equation: y = 3x -5

Solve the following expression: (9 x 10) - (30 + 30). Show all steps taken.

Im still stuck.... help? :',)

Someone please tell me and also what b is

Graph or explain how to graph the equation: y = 3x -5

Solve the following expression: (9 x 10) - (30 + 30). Show all steps taken.

Im still stuck.... help? :',)

Someone please tell me and also what b is

**Answer:**

Vincent’s proportion is incorrect. His corresponding parts are not in the same position. The heights and bases are in different positions.

**Step-by-step explanation:**

I got it right on my assignment

**Answer: **Vincent’s proportion is incorrect. His corresponding parts are not in the same position. The heights and bases are in different positions.

**Step-by-step explanation: i got it right on my assignment **

**Answer:**

**Step-by-step explanation:**

Please refer to the attached figure.

So, we can see that our angle θ is in QII.

Recall **A**ll **S**tudents **T**ake **C**alculus. Since this is QII, we use the **S**tudents. In other words, only sine (and cosecant) is positive. So, cosine and tangent are negative.

Now, we also know that a point is (-4,5). Referring to our figure, this means that our adjacent side is 4 (technically -4, but we can ignore this) and our opposite side is 5. So, to find the other ratios, let's find the hypotenuse.

Use the Pythagorean Theorem:

Substitute 4 for a and b for 5. Solve for c. So:

Square:

Add:

Take the square root:

So, our side lengths are: Opposite=5; Adjacent=4; and Hypotenuse=√41.

Now, we can find our side lengths.

**Sine and Cosecant**:

Substitute 5 for Opp and √41 for Hyp. So:

Rationalize:

Since our angle is in QII, sine stays positive.

Cosecant is the reciprocal of sine. So:

**Cosine and Secant: **

Substitute 4 for Adj and √41 for Hyp:

Rationalize:

Since our angle is in QII, cosine is negative. So:

Secant is the reciprocal of cosine. So:

**Tangent and Cotangent: **

Substitute 5 for Opp and 4 for Adj. So:

Since our angle is in QII, tangent is negative. So:

Cotangent is the reciprocal of tangent:

And we are finished!

Using the given point (-4,5) in standard position, first calculate the radius using the Pythagorean theorem. Then, calculate each of the six trigonometric functions using the coordinates and the calculated radius.

The given point is (-4,5). In the standard position, the x-coordinate represents the cosine of the angle, while the y-coordinate represents the sin of the angle. However, we need to find the radius (r), which can be found using Pythagorean theorem:

r = sqrt(x

2

+ y

2

)

meaning, r = sqrt((-4)

2

+ 5

2

) = sqrt(41).

Now, each of the six trigonometric functions can be calculated as follows:

**Sine**(Sin θ = y/r): Sin θ = 5/sqrt(41),**Cosine**(Cos θ = x/r): Cos θ = -4/sqrt(41),**Tangent**(Tan θ = y/x): Tan θ = -5/4,**Cosecant**(Csc θ = r/y): Csc θ = sqrt(41)/5,**Secant**(Sec θ = r/x): Sec θ = -sqrt(41)/4,**Cotangent**(Cot θ = x/y): Cot θ = 4/5.

#SPJ3

b. (10,10,0)

c. (21,21,-81)

d. (-10,-10,0)

**Answer:**

b. (10,10,0)

**Step-by-step explanation:**

r+v can be evaluated if the vectors/matrices have the same dimensions.

These do. They are both 1 by 3 vectors.

Just add first to first in each.

Just add second to second in each.

Just add third to third in each.

Example:

(5,-5,6)+(1,2,3)

=(5+1,-5+2,6+3)

=(6,-3,9)

Done!

In general, (a,b,c)+(r,s,t)=(a+r,b+s,c+t).

r+v

=(7,3,9)+(3,7,-9)

=(7+3,3+7,9+-9)

=(10,10,0)

Done!

33.54 -10.69 = 22.85

correct, the word difference means to subtract so the difference of 33.54 and 10,69 just means 33.54-10.69=22.85

Answer=$22.85

Answer=$22.85

house in Kenton County, what is the probability the house size is:

a. over 1371 square feet?

O Z=

o probability =

b. under 1296 square feet?

O Z=

o probability =

c. between 773 and 1637 square feet?

o zl =

o Z2 =

o probability =

Note: Z-scores should be rounded to 2 decimal places & probabilities should be

rounded to 4 decimal places.

License

Points possible: 8

This is attempt 1 of 3.

**Answer:**

**(a) The probability that the house size is over 1371 square feet is 0.4483.**

**(b) The probability that the house size is under 1296 square feet is 0.3974.**

**(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.**

**Step-by-step explanation:**

We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346 square feet with a standard deviation of 191 square feet.

Let **X** = *the sizes of houses in Kenton County*

**The z-score probability distribution for the normal distribution is given by;**

Z = ~ N(0,1)

where, = mean size of houses = 1346 square feet

= standard deviation = 191 square feet

**(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)**

** **P(X > 1371) = P( > ) = P(Z > 0.13) = 1 - P(Z 0.13)

** **= 1 - 0.5517 = **0.4483**

The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.

**(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)**

** **P(X < 1296) = P( < ) = P(Z < -0.26) = 1 - P(Z 0.26)

** **= 1 - 0.6026 = **0.3974**

The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.

**(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)**

P(773 < X < 1637) = P(X < 1637) - P(X 773)

P(X < 1637) = P( < ) = P(Z < 1.52) = 0.9357

P(X 773) = P( ) = P(Z -3) = 1 - P(Z 3)

** **= 1 - 0.9987 = 0.0013

The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.

**Therefore, P(773 square feet < X < 1637 square feet) = 0.9357 - 0.0013 = 0.9344. **

What equation models this function?

(My graph is below)

Enter your answer in the box.

f(x)=

f(x) = 8·1.25^x

An exponential function has the form ...

... f(x) = a·b^x

Then f(0) = a. Your graph shows f(0) = 8.

The base "b" can be found from any other point on the graph. You have marked the point (1, 10), so we can find "b" from ...

... f(1) = 10 = 8·b^1 = 8b

... 10/8 = b = 1.25 . . . . . . . divide by the coeffiicient of b

Now, we know the exponential function is ...

... **f(x) = 8·1.25^x**

**Answer:**

The correct answer is f(x) = 8·1.25^x

**Step-by-step explanation:**