Determine the equation of the line represented in the graph below.

y = 2/3x - 1
y = 3/2x - 1
y = 2/3x + 1
y = 3/2x + 1

Answer:

Step-by-step explanation:

Each term is 3 times the previous term:  

                                                                r = 3

The sum of the first nine terms in a sequence is 49,205:

                                                      \(S_n=a_1\cdot\dfrac{1-q^n}{1-q}\\\\\\49205=a_1\cdot\dfrac{1-3^9}{1-3}\\\\49205=a_1\cdot\dfrac{1-19683}{-2}\\\\49205=a_1\cdot9841\\\\a_1=5\)

What is the third term?

                                     \(a_n=a_1\cdot q^{n-1}\\\\a_3=5\cdot3^8=32805\)

Answer:

146

Step-by-step explanation:

jjahgayuaiwjwnwbwb

(27.26604445073)

this answer for this question

Answer:

g+h+(j+k)

Step-by-step explanation:

(g+h)+j+k

(g+k)+j+h

(g+j)+h+k

(k+h)+j+h

(j+h)+g+k

Answer:

1 and 3

Step-by-step explanation:

dont mind me this needed to be longer wait still needs no be longer

Answer:

x=23

Step-by-step explanation:

1/6 as a decimal is 0.16666667 but i rounded it to 0.2

so the equation is the 0.2(3x-9)-9=3

then i did 0.2 times 3x =0.6x

then 0.2 times -9= -1.8

so the equation now looks like this:

0.6x-1.8x-9=3

so i add 1.8 and 9 to 3 which gives you 13.8

then the equation looks like this:

0.6x=13.8

then you do 13.8 divided by 0.6 which equals 23.

hope this helps

tell me if i got it right or wrong

Answer:

Step-by-step explanation:

For obects already in motion, the distance travelled, s, is:

s = vi*t + (1/2)at^2

where vi is the initial velocity, a is the acceleration, and t is the time in seconds.

We want the time, t, to reach 1000 meters.

1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)

(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2

0.05t^2 + 3t -1000 = 0

Solve quadratic equation:

t = 114.6 seconds

Answer: should be B

Step-by-step explanation:

Given two points of a line, (x₁, y₁) and (x₂, y₂), we can find the slope of the line, m, using the fllowing equation:

Since we have the points (3, 2) and (-12, -15), the slope is:

The predicted mean amount of natural gas Joan will use per day in a month with a mean temperature of 30°F is approximately 828.9 cubic feet.

To predict the mean amount of natural gas Joan will use per day in a month with a mean temperature of 30°F, we will use the given regression line equation: y^ = 1425 - 19.87x.

Step 1: Substitute the value of x (mean temperature) with 30.
y^ = 1425 - 19.87(30)

Step 2: Perform the calculations.
y^ = 1425 - 596.1

Step 3: Simplify the equation.
y^ = 828.9

So, the predicted mean amount of natural gas Joan will use per day in a month with a mean temperature of 30°F is approximately 828.9 cubic feet.

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The statement "there is a strong relationship showing that as the number of days increases, the height of the plants increases" is correct.

It is defined as the relation between two variables, which is a quantitative type and gives an idea about the direction of these two variables.

\(\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}\)

Here, the value of the correlation coefficient is 0.85

As we know, when the value of r is near to 1, the correlation is strong.

And when r > 1, the relation between x and y such that as x increases, y also increases.

Thus, the statement "there is a strong relationship showing that as the number of days increases, the height of the plants increases" is correct.

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Answer:

The image is not clear but get the idea

Answer:

5+4+9.05+11=9+9.05+11=18.05+11=29.05

Answer:

the odds against Zahra climbing to the top are,

B. 4:1

Step-by-step explanation:

Since she has climbed 7 times in 28 attempts,

the probability of a successful climb is,

P = 7/28

P = 1/4

So, the odds against Zahra climbing to the top are 4:1

Answer:

Step-by-step explanation:

Given is the quadratic function

In order to have two real roots the discriminant should be posivive

We need D > 0

There is no solution as b² is never negative

The sum of all possible values of N is 336.

What is an integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

Here, we have

Let the three integers be a, b, and c.

N = abc = 6(a + b + c) and c = a + b.

Then N = ab(a + b) = 6(a + b + a + b) = 12(a + b).

Since a and b are positive, ab = 12

so {a, b} is one of {1, 12}, {2, 6}, {3, 4}

a + b is one of 13, 8, 7

N is one of 12× 13 = 156, 12× 8 = 96, 12×7 = 84

156 + 96 + 84 = 336.

Hence, the sum of all possible values of N is 336.

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Answer:

m< JKL = 63°

m< MKL = 27°

Step-by-step explanation:

(12x+3) + (6x-3) =90°

18x = 90

x= 90/18

x=5

m< JKL (12x+3) = 12(5)+3=60+3=63

m< MKL (6x-3)=6(5)-3=30-3=27

I hope I helped you^_^

Answer/Step-by-step explanation:

"Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent." True

"Side AB is equal to side DC and DB is the side common to triangles ABD and BCD."  True

Now we have 2 triangles, with 2 congruent sides, and the angles between these pairs of congruent sides, are also congruent..

This means that:

Therefore, the triangles ABD and CDB are congruent by SAS postulate, NOT SSS postulate, which would require 3 pairs of congruent sides.

Answer: Triangles ABD and CDB are congruent by the SAS postulate.

Answer:

Step-by-step explanation:

Let the other end point be (a,b)

Then the midpoint p(0,-1) is between the two end points (-1,0) and (a,b)

So

(0,-1) = ( (-1+a)/2 , (0+b)/2)

So we have

0 = (-1 +a) /2

0 = -1 + a

a =1

and

-1 = (0+b)/2

-2 = 0+b

b = -2

So the other end point is ( 1, -2)

Answer: 3.93701

Step-by-step explanation:

Answer:

10 cm to inches is 3 15/16 inches, or in decimal, is 3.9370 inches

Step-by-step explanation:

Answer:

f(4) = 2

Step-by-step explanation:

x = 3(4) - 10

x = 12 - 10

x = 2

Answer:

The dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53

Step-by-step explanation:

The first step will be to find the diagonal of the rea life mural.

We can use Pythagoras' Theorem to do this.

Diagonal = \(\sqrt{15^2 +45^2 }\) =47.43 feet.

Now we have the real-life diagonal, we will now relate the diagonal of the painting outside with the one on paper. We can do this by dividing the two diagonals.

This will be 47.43 / 6.3 units = 7.53.

The scale factor is 7.53

To get the dimensions of the length and the breadth on paper, we divide the outside dimensions by the scale factor.

This will be

Length = 15/ 7.53 = 1.992

Breadth = 45/7.53 = 5.976

Therefore, the dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53

Answer:

whsdf

Step-by-step explanation:

dsaf

\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

Answer:

12/3=4 ..............

c. 1,256 m³ is the approximate volume of the sphere.

The approximate volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere. In this case, the diameter of the sphere is given as 10m.

The radius of the sphere is half of the diameter, so the radius would be 10m/2 = 5m.

Plugging the radius value into the formula, we get V = (4/3)π(5m)^3. Simplifying further, we have V = (4/3)π(125m^3).

Calculating the value, V = (4/3)π(125m^3) ≈ 1,256 m³.

Therefore, the approximate volume of the sphere is approximately 1,256 m³.

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Answer:

$72

Step-by-step explanation:

Cost of the lunch = $60

Sales tax = 5% of $60

= 5/100 × 60

= 0.05 × 60

= $3

Tip = 15% of $60

= 15/100 × 60

= 0.15 × 60

= $9

how much in total did he pay?

Total amount paid = cost of the lunch + sales tax + tip

= $60 + $3 + $9

= $72

Latrell paid $72 in total for the lunch

Answer:

y - 2 = -3(x - 5)

Step-by-step explanation:

Solving the given −x+3y=12. for 3y yields 3y = x + 12, which becomes

        x + 12

y = -------------

            3

and so we see that the slope of the given line is 1/3.  Thus the slope of any line which is perpendicular to this one is the negative reciprocal of 1/3, or -3.

Use the point-slope form of the equation of a straight line and the given point (5, 2) to find the desired equation:

y - k = m(x - h) becomes  y - 2 = -3(x - 5)

Number of cards made from the sheet of paper is 243.

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

On the entire sheet of paper, 243 cards were created.

The sheet is described as being 324 cm 144 cm in size.

Measures 324 centimeters in length.

The sheet has a 144-cm width.

We need to determine how many cards with a 16 cm by 12 cm size can be produced from a single sheet of paper.

The paper's size is 324 144.

46656 sq. cm is the size of the paper's surface.

Now, one card is equal to 16 divided by 12.

Currently, the area of a single card is 192 square centimetres.

Hence, Number of cards made from the sheet of paper is 243.

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Arrange the data in ascending order,

The mean is ,

The mean is 98.6.

The median is,

The median is 96.5.u

The mode is the value that appears most often in a set of data values.

The range is determined as the difference between the maximum and minimum value.

Answer:

a) y = -3/10x + 24.

Step-by-step explanation:

2.5y + 0.75x = 60

2.5y = -0.75x + 60

Divide through by 2.5:

y = -3/10x + 24.