which phrase best describes the relationship indicated by the scatterplot? A. Constant correlation B. negative correlation C. positive correlation D. no correlation

Answer:

a) Arithmetic    yₙ = 3*(n - 1) + 13

b) Geometric   yₙ = 2*5⁽ⁿ⁻¹⁾

Step-by-step explanation:

The formula for the nth term e, of that sequence is; yₙ = 3*(n - 1) + 13 and yₙ = 2*5⁽ⁿ⁻¹⁾

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is

T_n = a + (n-1)d

(for all positive integer values of n)

(a) 13, 16, 19

Here,  yₙ = 3*(n - 1) + 13

This is an Arithmetic.

b) 2, 10, 50

Here, yₙ = 2*5⁽ⁿ⁻¹⁾

This is Geometric .  

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Answer:

ol so polygon all sum is 540

we know that pentagon of 5 sides always has sum 540

so 5x = 540

x = 108

as per me ...

Answer:

Either a 45°-45°-90° triangle or an isosceles right triangle depending on the question

Step-by-step explanation:

A triangle that has two 45° angles always has a third angle of 90° making it a 45-45-90 as well as a right triangle.

Answer:

30 centimeters

Step-by-step explanation:

true

Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.

First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.

That is, the percentage indicates what part of a total represents a quantity.

To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.

In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.

Then:

So, the percentage is calculated as:

percentage= (102.9÷490) ×100

percentage= 0.21×100

percentage= 21%

The correct option is: 21 percent of her net pay is left for savings.

Learn more about percentage with this examples:

Answer:

Standard form is Ax + By = C

Step-by-step explanation:

Answer:

The standard form is Ax + Bx = C

Answer:

2552cm^2

Step-by-step explanation:

C.S.A=1320cm^2 ;r=?

h=15cm.

[C.S.A. = 2πrh]

(r=1320×7/660=14cm)

Now,

TSA of cylinder = 2πr (h + r) sq

TSA=2×22/7(15+14)=2552cm^2

Answer:

how is it possible this is impossible

Answer:

3990/(1.14)=3500

Step-by-step explanation:

Answer:

6,265 votes

Step-by-step explanation:

The residents of a city voted on whether to raise property taxes. The ratios of yes votes to no votes was 5 to 7. If there were 10,740 total votes, how many no votes were there?

Given that :

Ratio of yes votes to no votes = 5 to 7

Yes votes : no votes = 5 : 7

Total votes = 10,740

The actual number of yes votes and no votes can be obtained thus :

Sum of ratio = (5 + 7) = 12

(ratio of vote / sum of ratio) * total votes

Number of no votes :

(Ratio of no votes / total ratio) * total votes

(7 / 12) * 10,740

0.5833333 * 10,740

= 6,265 votes

Number of no votes = 6,265 votes.

Answer:

population parameter

Step-by-step explanation:

A population  is said to be category of individuals under study.

A population parameter is a numerical value which provides a summary to a measure of an average or percentage which describes the entire population under a study.

In a Normal Curve, the population parameter can be a population mean or population standard deviation , population proportion which represent the population.

∴

The average SAT score of  1356 in the given study  is a population parameter

Answer:

I think D but im not sure

Step-by-step explanation:

9514 1404 393

Answer:

  A.  264 mi³

Step-by-step explanation:

The area of the right triangular base is ...

  A = 1/2bh

  A = 1/2(6 mi)(8 mi) = 24 mi²

Then the volume of the prism is ...

  V = Bh . . . . . where B is the base area and h is the distance between bases

  V = (24 mi²)(11 mi) = 264 mi³

Answer:

The amount (revenue) she makes in the third month to break even is $97

Step-by-step explanation:

The given parameters are;

The cost of the app = Initial cost + fees for producing the app

The amount she loss in the first month = Cost of the app - revenue = $324

The amount she loss in the second month = Loss from first month - revenue in second month = $324 - revenue in second month = $97

The amount Whitney has to make in the third month to break even  is therefore;

The amount she makes in the third month to break even is given by the equation;

Revenue from third month - Loss from second month = 0

Which gives;

The amount she makes in the third month to break even is given by Revenue from third month - $97 = 0

∴ Revenue from third month = $97

The amount (revenue) she makes in the third month to break even = $97

Answer:

Step-by-step explanation:

a) 144x³y² = 2 *2*2*2* 3* 3* x³ * y² = 2⁴ * 3² * x³ * y²

 81xy⁴      = 3 * 3 * 3 * 3 * x * y⁴      =         3⁴ * x * y³

GCD is  that are in both term

Greatest common divisor = 3² * x * y² = 9xy²

b) 144x³y² - 81xy⁴ = 9xy² * 16x²y  - 9xy²*9y²

                             = 9xy²(16x²y - 9y²)

Answer:

[tex]\frac{99}{14}[/tex] or [tex]7\frac{1}{14}[/tex]

Step-by-step explanation:

[tex]5\frac{1}{2}[/tex] × [tex]1\frac{2}{7}[/tex]

Step 1. Convert the mixed fractions into an improper fraction (by multiplying the denominator by the whole number and adding the numerator with de denominator to the result)

Answer:

[tex]5\frac{1}{2}=[/tex] [tex]2[/tex] × [tex]5+1=[/tex] [tex]\frac{11}{2}[/tex]

[tex]1\frac{2}{7}=[/tex] [tex]7[/tex] × [tex]1+2=\frac{9}{7}[/tex]

Step 2. Multiply (by multiplying numerator by numerator and denominator by denominator)

Answer:

[tex]\frac{11}{2}[/tex] × [tex]\frac{9}{7}=\frac{99}{14}[/tex] or [tex]7\frac{1}{14}[/tex]

Answer:

The product of 5 1/2 and 1 2/7 is 7 1/14

Step-by-step explanation:

Turn the mixed numbers into improper fractions.

11/2 * 9/7

Multiply.

11/2 * 9/7 = 99/14

Turn into a mixed number.

99/14 = 7 1/14

Hope this helps!

Answer:C=d/ab

Step-by-step explanation:

D=abc

D/ab=abc/ab (both side divided by ab)

Ab cancel by ab and c= d/ab remains

The solution of the given equation D = ABC for C will be D/(AB).

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

D = ABC

The value of the above equation for C will be as,

D = (AB)C

C = D/(AB)

Hence "The solution of the given equation D = ABC for C will be D/(AB)".

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here we want to multiply different monomials, the particular important thing about this problem is learning how to simplify these multiplications.

Here we need to remember the property:

[tex]a^n*a^m = a^{n + m}[/tex]

Now we want to directly multiply the monomials:

a) a³ , -6 a² b and 2 b³

Here we just have:

[tex]a^3*(-6*a^2*b)*(2*b^3)[/tex]

Let's reorder that, so we can separate the variables and the coefficients, so then we can use the above property to solve this:

[tex]a^3*(-6*a^2*b)*(2*b^3) = (-6*2)*(a^3*a^2)*(b*b^3) = -12*a^5*b^4[/tex]

b) 16 x⁶ , -10 xy² and 3/5 x² y²

Like before, we want to simplify:

[tex](16*x^6)*(-10*x*y^2)*(\frac{3}{5}*x^2*y^2)[/tex]

Again, reordering that we get:

[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2)[/tex]

Now solving each parenthesis:

[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2) = -96*x^{6 +1 + 2}*y^{2 + 2}[/tex]

Simplifying the last expression we get:

[tex]-96*x^{6 +1 + 2}*y^{2 + 2} = -96*x^9*y^4[/tex]

c)  -4 p² q² and 3/8 pq²

Here we want to simplify:

[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2)[/tex]

Using the same approach as before, we will get:

[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2) = (-4*\frac{3}{8})*(p^2*p)*(q^2*q^2) = \frac{-3}{2}*p^3*q^4[/tex]

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Answer:

Step-by-step explanation:

Answer:

The probability of flipping heads is 1/2

The probability of rolling 5 or more is 1/3.

So the total probability is 1/2 x 1/3 , which is 1/6.

Let me know if this helps!

Answer:

1/6

Step-by-step explanation:

The probability of flipping heads is 1/2

The probability of rolling 5 or more is 1/3.

So the total probability is 1/2 x 1/3 , which is 1/6.

Answer:

5x-4y = -32

Step-by-step explanation:

First write the equation in point slope form

y-y1 = m(x-x1)

y - -2 = 5/4 ( x- -8)

y+2 = 5/4 (x+8)

Multiply each side by 4 to clear the fraction

4( y+2 )= 4*5/4 (x+8)

4y +8 = 5(x+8)

4y+8 = 5x+40

Subtract 4y from each side

8 = 5x-4y +40

Subtract 40 from each side

-32 = 5x-4y

5x-4y = -32

Answer:

The answer is

Step-by-step explanation:

To write an equation of a line given a point and slope use the formula

y - y1 = m( x - x1)

where

m is the slope

( x1 , y1) is the point

From the question

slope = 5/4

point (-8 , -2)

So the equation of the line is

Multiply through by 4

4y + 8 = 5( x + 8)

4y + 8 = 5x + 40

5x - 4y = 8 - 40

We have the final answer as

Hope this helps you

Answer:

see below

Step-by-step explanation:

7s + 8s - 6h

7  8 and -6 are coefficients

s and h are variables

We can combine like terms

15s -6h

15 and -6 are coefficients and

s and h are variables

Answer:

Variable Terms:  (Alphabets)

s and h

Constant terms:   (Numbers)

No constants

Coefficient terms:  (Numbers with alphabets)

7 , 8 and -6

Answer:

Step-by-step explanation:

Surface Area of Cylinder = 2πrh+2πr^2

2π(3)(12) + 2π(3)^2

= 282.7 yd^3

answered by g a u t h m a t h

Answer:

x=3

Step-by-step explanation:

I suggest getting this app called photo math, it will help you soo much.

Answer:

x = 3

Step-by-step explanation:

4 (x - 1 ) + 4x -1 = 19

solve the brackets first

4x - 4 + 4x -1 = 19

4x + 4x -4 -1 = 19

8x -5 = 19

8x = 19+5

8x = 24

x = 24/8

x = 3

A cube has sides that are all equal lengths .

Volume of a cube is S^3, where S is the length of the side.

Volume = 3^3 = 3 x 3 x 3 = 27 cubic inches.

The volume of box will be 27 inch³.

A square notepaper is stored in a cube shape box with an inside edge length of 3 inches.

We have to calculate the volume of the box.

What is the volume of a cube ?

The volume of a cube is the multiplication of the edge length (a) for three times i.e., a × a × a = a³ .

As per the question ,

Inside edge length of cube = 3 inches

So ,

the volume of box will be ;

= a × a × a

= 3 × 3 × 3

= 27 inch³

Thus , the volume of box will be 27 inch³.

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1) 9.8 cm

3) 194.68 kilo litters

Step By Step Explanation

Sister these questions are related to volume of cylinder.

You need to use this formula πr²h [ Where r is radius and h is height or depth]

_______________________________________

3)

Given:

Diameter = 4m

Therefore radius = 2m

Depth is 31/2 m

To Find:

How many kilo litters will it hold ?

Actually It's asking about Volume.

Solution:

You know, volume = πr²h

[tex] = \pi {(2 \: m)}^{2} \times ( \dfrac{31}{2})m[/tex]

[tex] = 3.14 \times 4 \: {m}^{2} \times \dfrac{31}{2} m[/tex]

[tex] = \: 62 \times 3.14 \times {m}^{3} \sf [\because \: {m}^{3} = kilolitters][/tex]

[tex] = \sf 194.68 \: \: kilolitters[/tex]

_______________________________________

1)

Given:

Diameter = 14 cm

[tex] \sf \therefore \: radius \: = 7 \: cm[/tex]

height = 20 cm

Diameter of other cylinder = 20 cm

[tex] \sf \therefore \: radius = 10 \: cm[/tex]

To Find:

Deep of water in other cylinder

Consider the depth of water be x

Solution:

Volume of water will remain constant in both

So,

[tex]V_1 = V_2[/tex]

[tex] \sf \: \pi {(r_1)}^{2} h_1 = \pi {( r_2 )}^{2} h_2[/tex]

[Eliminating π from both sides]

[tex] {(7)}^{2} \times 20= {(10)}^{2}x[/tex]

[tex]49 \times 20 = 100x [/tex]

[tex]x = \dfrac{49 \times 2}{10} [/tex]

[tex]x = \dfrac{98}{10} \implies \: 9.8[/tex]

Therefore the required value of x is 9.8 cm .

Answer:

C. 2[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Square root of 116 is 10.7703296

Square root of 29 is 5.38516481, but as it is multiplied by 2, it becomes 10.7703296

Answer:

A

Step-by-step explanation:

Total money earned=40*8.95=358

Total money earned after deductions=358-(35.24+24.82+21.33)=276.61

Answer:

a) 16, 19, 22, 25, 28, 31, 34, 37, 40

b) 1, 3, 9, 27, 81, 243, 729, 2187

a) Add 3 on every number.

b) Multiply every number by 3.

Answer:

V = 1/32 yd^3

Step-by-step explanation:

To find the volume

V= l*w*h  where l is length, w is width, and h is height

V = 1/4 * 1/4 * 1/2

V = 1/32 yd^3

Answer:

The graph representing the above equation is attached below.

Step-by-step explanation:

The equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day is:

[tex]y=\frac{196-3x}{x}[/tex]

Simplify the expression as follows:

[tex]y=\frac{196-3x}{x}[/tex]

[tex]y=\frac{196}{x}-3[/tex]

The graph representing the above equation is attached below.

On moving the pointer to y = 15, it was determined that the value of x was 10.89.

The point is also plotted on the graph

Answer:

There would be 11 hours of production in a day.

Step-by-step explanation: