Make a scatter plot and describe the correlation.

(-10,5),(-5,-5),(-2,0),(0,3),(5,-2)

Answer: p = 24  − 5 q /2

Step-by-step explanation:

Answer:

\(p = \frac{ - 5}{2} q + 24\)

Step-by-step explanation:

Let's solve for p:

\(2p+5q=48\)

Step 1: Add -5q to both sides.

\(2p+5q+−5q=48+−5q\)

\(2p=−5q+48\)

Step 2: Divide both sides by 2.

\( \frac{2p}{2} = \frac{ - 5q + 48}{2} \)

\(p= \frac{ - 5}{2} q+24\)

Answer:

slope = - \(\frac{1}{3}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 1)

m = \(\frac{1-2}{3-0}\) = - \(\frac{1}{3}\)

Answer:

11

Step-by-step explanation:

I used a bunch of formulas that would clog this page, so I can't put them down.  Sorry if it's wrong

Answer:

67.1

Step-by-step explanation:

You would see if the 3 can go into the seven and seven into three to make it 4, 4 into eight 8 into 6 to make it 7 and then when you get to eight you would round it up into nine to make it 10.

If we round 67.981468373 to 1 decimal place then we'll get 68.

Rounding means replacing variety with an approximate value.

The given number which we've to gather is 67.981468373 and that we must round this number to 1 decimal.

To round we've to simply see the second digit after the decimal and if it's greater than 5 then we are going to add 1 to the primary digit after decimal and if it's but or capable 5 then we are going to deduct the entire digits except the primary digit after the decimal.

In the given number second digit after decimal is 8 which is larger than 5 so we'll add 1 to the primary digit after decimal which is 9. therefore the number which we are going to get is 67.9+1=68

Hence round of 67.981468373 to 1 decimal is adequate 68.

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Answer:

20

Step-by-step explanation:

Multiply 4/7 with 35, this will get you 140/7, which simplifies to 20 employees

Answer:

The correct option is 4 it lies on the 4th quadrant

The rectangular field that has a the perimeter of 134yd has a length of 47yd and width of 20yd

To solve this geometry exercise the equation and procedure we will use is:

P = (2*L) + (2*W)

Where:

Information about the problem:

Applying the perimeter equation of a rectangle, we have:

P = (2*L) + (2*W)

134 = [2*(x+ 27)] + (2*x)

134 = 2x+ 54 + 2x

134 - 54 = 2x + 2x

80 = 4x

x = 80/4

x = 20

Substituting the value of (x) in the data and we have:

W= x

W= 20yd

L= x + 27yd

L= 20yd + 27yd

L= 47yd

The perimeter is the total length of the edge of a geometric figure.

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The annual percentage rate, APR, for the loan is about 5.486%

The annual percentage rate is the cost of a loan or interest on an investment per year during the loan term or period.

Price of the car = $35,000.00

The down payment = 20% of $35,000 = $7,000

The installment loan details include;

The number of installment = 48 monthly installment

The amount paid each month = $651

The total payment, A= 48 × 651 = 31248

The equal monthly installment (EMI) formula is presented as follows;

\(EMI = P\cdot \frac{r\cdot (1+r)^n}{(1+r)^n -1}\)

Where;

EMI = The equal monthly installment paid = $651

P = The principal amount of the loan

r = The interest rate

n = Number of payments to be made = 48

The principal is therefore;

P = $35,000.00 - $7,000.00 = $28,000.00

Therefore;

The

\(651 = 28000\times \frac{r\cdot (1+r)^{48}}{(1+r)^{48} -1}\)

Using an online calculator and by trial and error, or by graphing we get;

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bottom was cut off a bit its 4=b

Answer:

\( t - 9 \)

Step-by-step explanation:

Given that t represents a number which is unknown to us, the difference of the number and 9 can be expressed algebraically as:

\( t - 9 \).

The difference of t and 9 = \( t - 9 \).

In a month with 3 inches of rain, 50,000 gallons of water will be used for irrigation at the pistachio orchard.

The general variation equation for an inverse variation relationship is:

y = k/x

In this equation, y represents the dependent variable (amount of water used for irrigation), x represents the independent variable (amount of rainfall), and k is the constant of variation.

In the given scenario, the amount of water used (y) is inversely proportional to the amount of rainfall (x). We are given that they use 30,000 gallons of water when there are 5 inches of rain. Plugging these values into the general variation equation, we get:

30,000 = k/5

To find the value of k, we can solve for it by multiplying both sides of the equation by 5:

k = 30,000 * 5 = 150,000

Now that we know the value of k, we can use the general variation equation to find the amount of water used in a month with 3 inches of rain:

y = 150,000/3

Simplifying this, we find:

y = 50,000

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Answer:

Answer is C

Step-by-step explanation:

have a nice day!!

~ jassy

Answer:

The answer would be c

Step-by-step explanation:

Answer:

672 had dark hair, 592 had blond hair, and 48 had red hair

Step-by-step explanation:

To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.

Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:

42 + 37 + 3 = 82

We can then divide 1,312 by 82 to get the scaling factor:

1,312 ÷ 82 = 16

This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.

To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:

Dark-haired people: 42 × 16 = 672

Blond-haired people: 37 × 16 = 592

Red-haired people: 3 × 16 = 48

Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.

The area of the largest possible norman window with a perimeter of 25 ft is 43.75 ft²

Let r = the semicircle's radius

h = the rectangle's radius

2r = the window's width

C = 2πr is the formula for the perimeter of a circle,

The perimeter of the semicircle =πr

The perimeter of the window is

P=πr + 2h + 2r = 25

2h + (π +2)r = 25

h = ½[25 - (π + 2)r]

h = 12.5 - (π/2 +1)r ...............(1)

The formula for the area of a circle is A= πr²,  so

½πr² = the perimeter of the semicircle

The area of the window is

A = ½πr² + 2rh.............. (2)

Substitute (1) with (2).

A = ½πr² + 2r[12.5 - (π/2 +1)r] = ½πr² + 25r - (π +2)r²

A = 25r - (π + 2 - π/2)r²

A =  -(π/2 + 2)r² + 25r ........(3)

One way to notice the vertex is to set the first derivative equal to zero.

dA/dr =-2(π/2 + 2)r + 25 = 0

-(π + 4)r  + 25 = 0    

 r = 25/(π + 4)

 r ≈ 3.50 ft .......... (4)

Substitute (4) with (1).

h = 12.5 - (π/2 +1)(3.50) = 12.5 - (2.571× 3.50)

h  = 12.5 - 9.00 = 3.50  

h = 3.50 ft

Area =  1.571(3.50)² + 2×3.50×3.50 = 19.25 + 24.50

Area = 43.75 ft²

So, the area is 43.75 ft².

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The answer is a discount price: RS.300

                           Selling price: RS 1700

                           Cost price: RS 1500

The marked price is 2000

by applying the known mathematics

discount amount: 100 × (Original price - Discounted price) / Original price

                              =2000 × 15%

                              =300

 selling price: Cost Price + Profit Margin.

                        =2000-300

                        =1700

  cost price :  {100/(100 + Profit%)} × SP.

                     =2000-2000×25%

                    = 1500

by these calculations, we can achieve our answers

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The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

Answer:

x > 1.5

Step-by-step explanation:

In order to solve for x, we must isolate x on one side of the inequality.

\(4.2x > 6.3\)

x is being multiplied by 4.2 The inverse of multiplication is division. Divide both sides of the equation by 4.2

\(\frac{4.2x}{4.2} >\frac{6.3}{4.2}\)

\(x> \frac{6.3}{4.2}\)

\(x> 1.5\)

The solution to the inequality 4.2x > 6.3 is x>1.5

Answer:

\(\huge\boxed{x>1\dfrac{1}{2}\to x\in\left(1\dfrac{1}{2},\ \infty\right)}\)

Step-by-step explanation:

\(4.2x>6.3\qquad/\text{divide both sides by 4.2}\\\\\dfrac{4.2x}{4.2}>\dfrac{6.3}{4.2}\\\\x>\dfrac{6.3\cdot10}{4.2\cdot10}\\\\x>\dfrac{63:21}{42:21}\\\\x>\dfrac{3}{2}\\\\x>1\dfrac{1}{2}\)

The Law of Sines often yields better results due to its broader applicability and flexibility in solving trigonometric problems involving non-right triangles. The Law of Cosines is also reliable, especially when the lengths of sides are known. The Law of Tangents has limited use and is typically employed in specific right triangle scenarios.

To compare the results of the verification of the Law of Sines, Law of Cosines, and Law of Tangents, we can create a table showcasing the findings and analyze which law had better results:

Law               |                         Results                                |                             Accuracy

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

Law of Sines      |  Satisfied for various triangle scenarios   | Dependent on angle and side accuracy

Law of Cosines   | Satisfied for various triangle scenarios   | Dependent on side accuracy

Law of Tangents | Satisfied for specific triangle scenarios   | Dependent on angle accuracy

The Law of Sines may often have better results because it is applicable to a broader range of triangle scenarios, allowing for more flexibility in solving trigonometric problems. It is useful when working with non-right triangles, as it relates the ratios of angles to the ratios of opposite sides. However, it heavily relies on the accuracy of both angles and sides for precise calculations.

The Law of Cosines, while also effective in various triangle scenarios, is particularly useful for solving triangles when the lengths of all three sides are known or when an angle and the lengths of two sides are known. It is less dependent on angle accuracy but relies more on side accuracy.

The Law of Tangents has more limited applicability and is primarily used when dealing with right triangles. It relates the tangent of an angle to the ratios of sides, but its usage is not as widespread as the other two laws.

The Law of Sines and the Law of Cosines generally yield satisfactory results for various triangle scenarios. However, their accuracy can vary depending on the accuracy of angles and sides. The Law of Tangents, on the other hand, is more limited in its application, as it only applies to specific triangle scenarios.

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Answer:

Erin

Step-by-step explanation:

I believe Erin is right in this case.

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a Z-Score.

In statistics, each mathematical formula and each element has an internationally recognised name. This is to ensure that everyone in the world understands what every researcher has to say in every letter. A statistic that tells the number of standard deviations a data value is above or below the mean is called a z-score. And its formula is, Z = (X − μ)/σ

where, μ--> population mean,

σ --> population standard deviation and

x --> the raw-score.

Hence, when a data value is converted to a standardized scale, new value, Z-Score is representing the number of standard deviations the data value lies from the mean.

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Answer:

The triangles are similar by the Side Angle Side postulate (SAS).

Step-by-step explanation:

Sides 2 and 3 are proportional to sides 4 and 6 by a scale factor of 2. Angles O are congruent to each other by the vertical angles theorem.

Answer: The answer is 226.2 feet.

Step-by-step explanation: The formula to find the total surface area of a cylinder is 2\(\pi\) x radius squared x height. If you use the formula you will get 226.19 feet as your answer and I rounded that to 226.2 feet.

UR MOM

Answer:

8

Step-by-step explanation:

the denominator of 5/8 is 8

the denominator of 3/4 is 4

4 can be multiplied by 2 to get 8. If we multiply the entire fraction by 2/2, the fraction changes into 6/8

Now 5/8 and 6/8 share the same denominator and it's the smallest denominator shared between the two.

Answer:

Step-by-step explanation:

first we need to know that redious isn't gien

so we have to find redious

according to Pythagoras theorem

a²+b²=c²

a=√c²-b²

a=17²-15²

a=√(17+15)(17-15)

a=√64

a=8

\(as \: we \: khow \: volume \: of \: a \: cone\)

\( = \frac{1}{3} \pi {r}^{2} h\)

\( \frac{1}{3} \pi \times {8}^{2} \times 15\)

\( \frac{\pi}{3} \times 64 \times 15\)

\(\pi \times 64 \times 5\)

\(3.141 \times 64 \times 5\)

\(1005.12\)

Hi there! :)

Answer:

\(\huge\boxed{x = 4.5}\)

m∠BGC = 16x - 4

m∠CGD = 2x + 13

m∠BGC + m∠CGD sums up to 90°, therefore:

(16x - 4) + (2x + 13) = 90

Combine like terms and simplify:

16x + 2x - 4 + 13 = 90

18x - 4 + 13 = 90

18x + 9 = 90

18x = 81

18x/18 = 81/8

x = 4.5

With formula of arithmatic series, the sum from 10 to 99 is 4905.

What is a arithmatic series?

An arithmetic series is a sequence of numbers in which each term is obtained by adding a fixed constant, called the common difference, to the previous term. The terms in an arithmetic series follow a pattern of increasing or decreasing by a constant amount.

For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic series, with a common difference of 3, because each term is obtained by adding 3 to the previous term.

The sum of the terms in an arithmetic series can be found using the formula:

S = (n/2)(a + l)

Now,

To find the sum of integers starting with 10 and ending with 99, we can use the formula for the sum of an arithmetic series, which is:

S = (n/2)(a + l)

where S is the sum, n is the number of terms, a is the first term, and l is the last term.

In this case, we have:

a = 10

l = 99

n = (l - a) + 1 = 90

Substituting these values into the formula, we get:

S = (90/2)(10 + 99) = 45(109) = 4905

Therefore, the sum of integers starting with 10 and ending with 99 is 4905.

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The answer choice which represents the solution to the inequality as given in the task content is; x>-2 or x≤ 1.

On this note, it follows that the inequalities can be solved individually as follows;

-4 < 3x +2

-6 < 3x

x > -2

Also, 3x +2 ≤ 5

3x ≤ 3

x ≤ 1.

Ultimately, the correct answer choice is; Choice C; x>-2 or x≤ 1.

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3rd

Step-by-step explanation:

i am not sure though so confirm it

Answer:

Its the THIRD choice.

Step-by-step explanation:

The values in ascending order are:

6 6 7 9 11 14 15 15 17 19 21 23 23 23 28 31

So the median = (15+17)/2 = 16.

The lowest and highest values are 6 and 31.

The lower quartile is 10.

The upper quartile is 23.

Answer:

picture po mero po ba kayong pic nyan