I need help ! I’m learning area and permitter and I’m really confused could u guys help plz ! :)

Answer:

y = 4.71 and y = -8.71

Step-by-step explanation:

Step 1:  Subtract 5 from both sides:

((y + 2)^2 + 5 = 50) - 5

(y + 2)^2 = 45

Step 2:  Take the square root of both sides, subtract 2 from both sides, and round to the nearest hundredth to solve for y.  

Positive answer:

√(y + 2)^2 = √45

(y + 2 = √45) - 2

y = √45 - 2

y = 4.708203932

y = 4.71

Thus, one answer for y (rounded to the nearest hundredth) is approximately 4.71.

Negative answer:

√(y + 2)^2 = -√45

(y + 2 = -√45) - 2

y = -√45 - 2

y = -8.708203932

y ≈ - 8.71

Thus, the other answer for y (rounded to the nearest hundredth) approximately. -8.71

Optional Step 3:  We can check our work by plugging in 4.71 and -8.71 for y and seeing whether we get 50.  Because they're rounded, you won't get exactly 50, but the answer should be close enough for us to trust our approximations:

Plugging in 4.71 for y:

(4.71 + 2)^2 + 5 = 50

(6.71)^2 + 5 = 50

45.0241 + 5 = 50

50.0241 > 50

Our answer is close enough to 50 that we can trust our approximation.

Plugging in -8.71 for y:

(-8.71 + 2)^2 + 5 = 50

(-6.71)^2 + 5 = 50

45.0241 + 5 = 50

50.0241 > 50

Again, our answer is close enough to 50 that we can trust our approximation.

Answer:

Loan analysis is an evaluation method that determines if loans are made on feasible terms and if potential borrowers can and are willing to pay back the loan. It checks the eligibility of the potential borrower against the criteria set forth for lending. Loan analysis helps in assessing the skills and financial knowledge of the borrower to ...

The given information is:

- The function that represents the sales price at the superstore is:

- The function that represents the HST owed on a purchase with a selling price of x dollars is:

a. The function that represents the HST owed on an item with a price tag of x dollars after it has been beaten by 10% is given by the composite function:

So, we replace the x in the f(x) function with the g(x) value, as follows:

The equation is above.

b. How much HST would be charged on a $39.99 purchase if this price is also lowered by 10% first?

Then, by using the equation we found in part a, we replace x by 39.99 and solve:

$4.68 would be charged

Answer:

Step-by-step explanation:

YOU KNOW HOW TO WRITE IN SPANISH

Answer:

QS ≅ TR

Step-by-step explanation:

QS and TR are diagonals.

Diagonals are equal in both rectangle as well as parallelogram.

Answer:

#1= 24.23

#2= 57.91

#3= 35.84

#4= 48.59

Step-by-step explanation:

soh cah toa

sin=opposite/hypotenuse

cos=adjacent/hypotenuse

tan= opposite/adjacent

use inverse sin cos and tan to find angles!

Answer:

Example 1 tan-1(9/20)=24.23°

Example 2 cos-1(17/32)=57.91°

Example 3tan-1(13/18)=35.84°

Example 3 sin-1(21/28)=48.59°

The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).

To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.

Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3

Similarly, the y-coordinate of the point is given by:

y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5

Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).

To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).

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Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Dimensions of triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

For making it a right triangle it must satisfy the "Pythagoras theorem" which states that

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

H²=B²+P²

20²=15²+18²

400=225+64

400≠289

No, it will not be able to make a right triangle.

Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.

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The complete question is given below:

Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.

1. Will he be able to make a right triangle out of his fence? Why or why not?

Answer:

the 1st cylinder

Step-by-step explanation:

V=πr2h

1st cylinder= 78.5

V = (3.14)(2.5ˆ2)(4)

2nd cylinder= 70.65

V = (3.14)(3ˆ2)(2.5)

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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The Measure of center or measure of variation of the weights are; Range = 23 pounds; Median = 70 pounds; Mean = 71 pounds; Mode = 70 pounds

We are given the weights as;

Weights of 5 girls = 70 pounds, 68 pounds, 85 pounds, 62 pounds, and 70 pounds

1) The difference of the least and the greatest values is;

Range = 85 - 62 = 23 pounds

2)  The middle value after arranging all the values from least to greatest is; 62, 68, 70, 70, 85

Median = 70

3) Adding all the values and dividing by 5 is;

Mean = (62 + 68 + 70 + 70 + 85)/5

Mean = 71 pounds

4) Value that appeared the most is;

Mode = 70

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Answer:

-3.5, -3, -1, 3, 4.5

Step-by-step explanation:

Answer:

-3.5, -3, -1, 3, 4.5 because the higher the negative is, the lower the number.

Required function y = 2x + 40 to represents linear relationship between number of people and total cost shows following statements are true:

a. Independent variable represents the number of people.

b. Initial value for the picnic is $40.

d. Cost of the picnic increases as per the number of people.

As given in the question,

Let 'x' represents the number of people

And 'y' represents the total cost

Linear relationship between number of people and total cost is:

y = mx + b

Consider two points (x₁ , y₁) = (6, 52) and ( x₂ , y₂ ) = ( 9 , 58)

Slope 'm' = ( y₂ - y₁)/ (x₂ - x₁)

              = (58 - 52)/ (9 -6)

              = 6 / 3

              = 2

y = 2x + b

Now for, (x. y) = ( 12,64)

64 = 2(12) +b

⇒b = 64 - 24

⇒b = 40

Hence, required function is :

y = 2x + 40

a. Independent variable is the number of people.

Here it is x which represents the number of people.

True.

b. Initial value for the picnic is $40

y- intercept when x =0 ⇒ y = $40

True.

c. Rate of change is $8.67 per person.

No, rate of change is $2 per person.

d. Number of people increases as total cost of picnic increases

True .

e. If x = 4

⇒y = 2(4) + 40

     = 48 ≠46

False.

Therefore, function y = 2x + 40 represents that following statements are true:

a. Independent variable represents the number of people.

b. Initial value for the picnic is $40.

d. Cost of the picnic increases as per the number of people.

The above question is incomplete, the complete question :

The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic. Which statements about the function described by the table are true? Check all that apply. a. The independent variable is the number of people.

b. The initial value (initial fee) for the picnic is $40.

c.  The rate of change is $8.67 per person.

d. As the number of people increases, the total cost of the picnic increases.

e.  If 4 people attended the picnic, the total cost would be $46.

Number of people               Total cost ($)

6                                                 52

9                                                 58

12                                               64

15                                               70

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Answer:

0.44

Step-by-step explanation:

Given the estimated logistic regression model on risk of having squamous cell carcinoma

-4.84 + 4.6*(SMOKER)

SMOKER = 0 (non-smoker) ; 1 (SMOKER)

What is the predicted probability of a smoker having squamous cell carcinoma?

exp(-4.84 + 4.6*(SMOKER)) / 1 + exp(-4.84 + 4.6*(SMOKER))

SMOKER = 1

exp(-4.84 + 4.6) / 1 + exp(-4.84 + 4.6)

exp^(-0.24) / (1 + exp^(-0.24))

0.7866278 / 1.7866278

= 0.4402863

= 0.44

Answer:

$138.58

Step-by-step explanation:

You would first set up an equation. You want to know how much money Rachel earned that week, so let's refer to that by using variable t for total money earned this week.

Next, we also know that Rachel is paid 10.66 per hour, so we'll be multiplying it by the number of hours she worked this week. This allows us to set our equation up as follows:

10.66(2.5+3.5+2+5) = t

You would now add like terms.

10.66(13) = t

You would now multiply 10.66 and 13(total number of hours worked this week).

This would get us 138.58, or the total numnber of money Rachel earned this week.

Answer:

S=2000/P^2L^3

Step-by-step explanation:Step 1:Write the correct equation. Combined variation problems are solved using a combination of direct variation (y = kx), inverse variation , and joint variation (y = kxz) equations. When dealing with word problems, you should consider using variables other than x, y, and z, you should use variables that are relevant to the problem being solved. Also read the problem carefully to determine if there are any other changes in the combined variation equation, such as squares, cubes, or square roots.Step 2:Use the information given in the problem to find the value of k, called the constant of variation or the constant of proportionality.Step 3:Rewrite the equation from step 1 substituting in the value of k found in step 2.Step 4:Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. When solving word problems, remember to include units in your final answer.

Answer:

To graph rational functions:

\(\textsf{Asymptote} \implies (x+3)^2=0 \implies x=-3\)

\((x+3)^2\geq 0 \implies f(x) > 0 \implies \textsf{asymptote}:y=0\)

\(\textsf{y-intercept}\implies \dfrac{1}{(0+3)^2}=\dfrac{1}{9} \implies \left(0,\dfrac{1}{9}\right)\)

\(\textsf{Factor denominator} \implies x^2+2x-3=(x-1)(x+3)\)

\(\textsf{Asymptote} \implies x-1=0 \implies x=1\)

\(\textsf{Asymptote} \implies x+3=0 \implies x=-3\)

\(\textsf{x-intercept} \implies x+1=0 \implies x=-1 \implies (-1,0)\)

\(\textsf{y-intercept}\implies \dfrac{0+1}{0^2+2(0)-3}=-\dfrac{1}{3} \implies \left(0,-\dfrac{1}{3}\right)\)

\(\textsf{Asymptote} \implies x-2=0 \implies x=2\)

\(\textsf{x-intercepts} \implies x^2-9=0 \implies x=\pm 3 \implies (-3,0)\:(3,0)\)

\(\textsf{y-intercept}\implies \dfrac{0^2-9}{0-2}=\dfrac{-9}{-2}=4.5 \implies (0,4.5)\)

Answer:

Step-by-step explanation:

Answer: 15.55 miles

Step-by-step explanation:

in 3 days, Samuel ran 8+4.25+3.3=15.55 miles

Answer:

12.5miles

Step-by-step explanation:

8+4.25+3.3=12.5miles

If the length of OB was ³/₄, then the length of OB' after dilation is; Option B: 3 units.

What this means is that it was enlarged by a scale factor of 4 with point O as the center of dilation.

Scale factor = new dilated length OB'/(³/₄)

new dilated length OB' = ³/₄ × 4

new dilated length OB' = 3 units

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Answer:

its 4 units trust just answered it

Step-by-step explanation:

Answer:

\(6x^4y^8\sqrt{5x}\)

Step-by-step explanation:

\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)

\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)

\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)

\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)

\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)

\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)

\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)

\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)

\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)

\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)

\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)

\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)

\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)

\(6 \sqrt{5x}\;x^4\;y^8\)

\(\textsf{Rearrange:}\)

\(6x^4y^8\sqrt{5x}\)

\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)

\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Answer:

Part a

First option
Increase from around  $160,000 to around  $245000 about a 53% increase

Part b
The prices increased from $220,000 to $245,000

Part c
The prices decreased from  $245,000 to $215,000 . This is about a 12% decrease (actual value is 12.24%)

Step-by-step explanation:

a. From the graph (or looking at the answer choices) we see that in 1999 the median housing price was $160,000

In 2007, we see that the median housing price was approx $245,000. We can eliminate the second and third choices since in 2007, the median price was definitely greater than $220,000

\(\% \;increase = \dfrac{\$ \;increase }{price \;in \;1999} \times 100\\\\= \dfrac{245,000 - 160,000}{160,000} \times 100\\\\= \dfrac{85,000}{160,000} \times 100\\\\= 0.53125\times 100\\\\= 53.125%\\\\\approx 53 \%\)

Hence the correct answer choice is the first option

Part b

From what I can see of the graph(kinda difficult) the median house price was $220,000 in 2004(the point being halfway between 210,000 and 230,000

The median price in 2007 from the information provided in Part a was $245,000

Increase in median price between 2004 and 2007 is 245,000 - 220,000 = $25,000

As a percentage relative to 2004 price this would be

25,000/220,000 x 100

= 11.36 % which I guess, if you rounded up would be 12%

So I am not a 100% sure on this but this is what I can read from the graph

Answer: The prices increased from $220,000 to $245,000

(c) Price for 2007 from part (a) $245,000

Price for 2009 from graph = $215,000
Price decrease = 215,000 - 245,000 = -30,000 (negative indicating a decrease)

Price decrease from 2007 to 2009 as a percentage of 2007 prices:
30,000/215,000 x 100 = 12.24 %which i guess you can round down to 12% or round up to 13% - again not sure.

Answer should be:
The prices decreased from  $245,000 to $215,000 . This is about a 12% decrease

The statement that is true based on the data set is B. There is one outlier that indicates an unusually small number of assignments required in that class.

The given data set is

22, 23, 23, 21, 18, 4, 17, 15, 23, 20, 24, 15, 25, 16

Arrange the data is ascending order.

4, 15, 15, 16, 17, 18, 20, 21, 22, 23, 23, 23, 24, 25

Divide the data in 4 equal parts.

(4, 15, 15), 16, (17, 18, 20), (21, 22, 23), 23, (23, 24, 25)

Now, we can say that

Q1= 16

Q3= 23

The interquartile range of the data set is 23- 16 = 7

If the data lie in the interval [Q1-1.5(IQR), Q3 + 1.5 (IQR)], then the data set has no outliers.

All the data lie in the interval [5.5,33.5] except 4. So, 4 is an outlier of the given data.

There is one outlier that indicates an unusually small number of assignments required in that class. Therefore the correct option is option B

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Which of the following statements is true based on the data set?

There is one outlier that indicates an unusually large number of assignments required in that class.

There is one outlier that indicates an unusually small number of assignments required in that class.

There are two outliers that indicate an unusually large number of assignments required in those two classes.

There are two outliers that indicate an unusually small number of assignments required in those two classes.

Answer:

The given equation is:

-4√x - 3 = -12

Add 3 to both sides:

-4√x = -9

Divide both sides by -4:

√x = 9/4

Square both sides:

(√x)² = (9/4)²

x = (81/16)

Thus, the solution of the equation is x = 81/16.

It is not an extraneous solution because it satisfies the original equation.

Answer:200

Step-by-step explanation:

The number that must be added to complete the square in the expression is 0.9².

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

x² + 1.8x

The complete square is given as,

(a + b)² = a² + 2ab + b²

Now,

x² + 2 x 0.9(x) + 0.9²

(x + 0.9)²

Thus,

0.9² completes the square in the expression.

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Answer:

2+7+X=12

2+7-12=-X

X=3