Find the sum of the following series 5+10+20+...+40960

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Answers:

There are two possible outcomes

If your teacher wants only positive integers, then go for the second scenario.

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Explanation:

x = smaller integer

x+2 = larger integer

We can see that x+2 follows directly after x, so they are consecutive. Also, there's a gap of 2 units between the values. This is due to the phrasing "consecutive even" instead of just "consecutive".

Their product is x(x+2) = x^2+2x

Their sum is x+(x+2) = 2x+2

The product is 36 less than 18 times their sum, which means,

product = 18*(sum) - 36

x^2+2x = 18(2x+2) - 36

x^2+2x = 36x+36-36

x^2+2x = 36x

x^2+2x-36x = 0

x^2-34x = 0

x(x-34) = 0

x = 0 or x-34 = 0

x = 0 or x = 34

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If x = 0, then x+2 = 0+2 = 2

The product is x*(x+2) = 0*2 = 0

The sum is x+(x+2) = 0+2 = 2

If we multiply the sum by 18, then we get 18*2 = 36. Subtracting off 36 leads to 36-36 = 0

Therefore the equation below

product = 18*(sum) - 36

has been satisfied

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If x = 34, then x+2 = 34+2 = 36

product = x*(x+2) = 34*36 = 1224

sum = x+(x+2) = 34+36 = 70

then we can see that...

product = 18*(sum) - 36

1224 = 18*(70) - 36

1224 = 1260 - 36

1224 = 1224

So that works as well.

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There are two possible outcomes

Either the integers are 0 and 2

OR

the integers are 34 and 36

Answer:

The isosceles triangle has a perimeter of 7.5 m. 2.1 + 2x = 7.5 can be used to find the value of x if the shortest side, y, measures 2.1 m. This answer has been confirmed as correct and helpful

Step-by-step explanation:

Answer:

So.... u forgot to put the question.

Step-by-step explanation:

im not sure what u want but heres this : The isosceles triangle has a perimeter of 7.5 m. if the shortest side, y measures 2.1 m

Answer:

[tex]g(x) = -|x+3|-1[/tex]

Step-by-step explanation:

1. horizontal reflection - reflection on x-axis: [tex]g(x) = - f(x)[/tex]

        [tex]g(x) = -|x|[/tex]

2. shift left 3: [tex]g(x) = f(x+h)[/tex]

       [tex]g(x) = -|x+3|[/tex]

3. shift down 1: [tex]g(x) = f(x) - k[/tex]

      [tex]g(x) = -|x+3|-1[/tex]

Answer:

.8x = $70.40

x = 70.4/.8

x = $88

Step-by-step explanation:

Answer:

Step-by-step explanation:

Call the movie length m

3/4 m = 1 1/2 hours

3/4 m = 3/2  hours

This is easier to do by decimals

3/4 = 0.75

3/2 = 1.5

0.75 m = 1.5              Divide by 0.75

0.75/0.75 m = 1.5/0.75

m = 2

If it must be done using fractions then this is how it works.

3/4 m = 3/2

[tex]\frac{3*m}{4}=\frac{3}{2}\\m=\frac{\frac{3}{2} }{\frac{3}{4} }[/tex]

[tex]m= \frac{3}{2}*\frac{4}{3}\\\text{The threes cancel out. So does 2 into 4}[/tex]

You get 2 just as you did before.

Answer:

B

Step-by-step explanation:

Answer:

14.4 solved by doing 24(3/5)

Step-by-step explanation:

a ratio can be seen as division

3:5 = 3/5

Answer:

14.4

Step-by-step explanation:

As mentioned in the comments (24/5)*3 =

4.8 * 3 = 12 + 2.4 = 14.4

Another way:

24/5 = x/3

72 = 5x

x = 14 2/5 = 14.4

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

• Tides are the great rise and fall of sea water caused by the gravity of the moon and the sun.

Gió thổi trên mặt nước trong các đại dương chịu trách nhiệm cho dòng hải lưu. Tuy nhiên, dòng hải lưu trong đại dương không được hình thành bởi gió đơn thuần. Nước gần cực lạnh trong khi nước gần xích đạo ấm. Sự chênh lệch nhiệt độ giữa hai vùng nước này cũng chịu trách nhiệm cho sự hình thành dòng hải lưu. Địa hình đáy đại dương, mưa và thậm chí thủy triều cũng gây ra dòng chảy trong nước.

Step-by-step explanation:

Answer:

dois sextos

Step-by-step explanation:

Answer:

Two over six.

Step-by-step explanation:

It can be two over six, and when simplified, 2/6 can be 1/3, which is one-thirds.

Answer:

B.Q1, Q3, maximum

Step-by-step explanation:

The left side of the box is hovering over 65

The left side of the box represents quartile 1

The right side of the box is hovering over 85

The right side of the box represents quartile 3

The whisker at the end of the right side is hovering over 100

The whisker at the very end of the right represents the maximum

Hence, we can conclude that the answer is Q1 Q3 maximum

Answer:

11/3

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 33 on the left side and the dividend 9 on the right side like this:

 3 3 ⟌ 9    

Step 2:

The divisor (33) goes into the first digit of the dividend (9), 0 time(s). Therefore, put 0 on top:

       0    

 3 3 ⟌ 9    

Step 3:

Multiply the divisor by the result in the previous step (33 x 0 = 0) and write that answer below the dividend.

       0    

 3 3 ⟌ 9    

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (9 - 0 = 9) and write the answer below.

       0    

 3 3 ⟌ 9    

     - 0    

       9    

You are done.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 9 divided by 33 calculated using Long Division is:

0

9 Remainder

The correlation value coefficient of the data is r = -0.91

A statistical metric known as correlation illustrates how closely two variables are connected and how they tend to move in tandem. When two variables are positively correlated, they move in the same direction, and when they are negatively correlated, they move in the opposite way. To determine the degree and direction of the association between two variables, a correlation coefficient is utilized.

A correlation coefficient of -1 indicates a perfect negative correlation, a correlation coefficient of 1 indicates a perfect positive correlation, and a correlation coefficient of 0 indicates no correlation between the two variables.

Given data ,

Let the data set be represented as A

Now , the value of A is plotted below

A negative correlation coefficient ranges from -1 to 0, with -1 indicating a perfect negative correlation and 0 indicating no correlation. A negative correlation means that the two variables move in opposite directions; as one variable increases, the other variable tends to decrease.

So , For example, there may be a negative correlation between the y axis and x axis such that , when y decreases , x increases

Hence , the correlation coefficient of the data is r = -0.91

To learn more about correlation click :

https://brainly.com/question/28898177

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The complete question is attached below :

Which is most likely the correlation coefficient for the set of data shown?

A) -0.91

B) -0.35

C) 0.35

D) 0.91

Answer:

Step-by-step explanation:

To solve mixture problems like this the best way is to make a table. Here's the basic format of the table we will use, calling the first coffee C1 and the second coffee C2:

                 #lbs        x         $/lb         =       Total

C1

C2

Mix

This is the table we will fill in. First, we were given the cost per pound of each type of coffee, so we put that in first:

                #lbs        x         $/lb         =        Total

C1                                        4

C2                                     6.50

Mix

Next, we are told that she wants to make a mix of these coffees so she has a total number of pounds as 150 and that she wants it to cost $4.75 per pound. That goes in next:

                #lbs        x        $/lb        =        Total

C1                                         4

C2                                     6.50

Mix           150         *          4.75

That asterisk is the multiplication sign.

Here's where we are now responsible for filling out the rest of the chart. If she needs to mix these 2 coffees to get a mix that is `150 pounds, she can have x pounds of C1 which means that she has to have 150 - x of C2:

                #lbs       x        $/lb        =         Total

C1                x         *           4

C2         150 - x      *        6.50

Mix           150        *         4.75  

Now all we have left to do is what the table tells us to do, which is to multiply the first 2 columns and put that product under the Total column:

                #lbs        x        $/lb        =        Total

C1                x           *          4           =          4x

C2         150 - x        *       6.50        =     975 - 6.50x

Mix            150         *        4.75        =     712.50

Since we have to add the 2 coffees together to get the pounds of mix in the first column, we also have to add the cost of those coffees together to get the total cost of the mix. The equation looks like this:

4x + 975 - 6.50x = 712.50 and combining like terms:

-2.5x = -262.5 so

x = 105

That means that there is 105 pounds of coffee 1 and 150 - 105 pounds of coffee 2.

C1 = 105 pounds, C2 = 45 pounds

Answer:

C

Step-by-step explanation:

Answer:

b)y=-4/5x+2

Step-by-step explanation:

Answer:

y=-4/5x+2

Step-by-step explanation:

You can see in the graph that the slope is negative => c) and d) options are discarted

the line intersects the Y axis in the +2 value

So the correct option has to be b) , becuse is the one that have the independient term equal to 2

Answer:

h = 4.2

Step-by-step explanation:

The large triangle beginning on the left  has a height of 9. The small triangle has an unknown height of h almost in the middle of the of the base.

You can set up a proportion

9/h = 15/7                 Cross multiply

15h = 9*7                  Combine the right

15h = 63                   Divide both sides by 15

15h/15 = 63/15

h = 4.2      

Answer:

See below.

Step-by-step explanation:

a.

We need degrees C as a function of degrees F.

Just like when we have y as a function of x, we have (x, y) ordered pairs, here we will have (F, C) ordered pairs.

We are given two ordered pairs: (32, 0) and (212, 100).

We can find the slope of the line.

m = (100 - 0)/(212 - 32) = 100/180 = 5/9

y = mx + b

C = mF + b

C = (5/9)F + b

Use point (32, 0) for F and C to solve for b.

0 = (5/9)(32) + b

b = -(5/9)(32)

C = (5/9)F - 5/9(32)

C = (5/9)F - 160/9

b.

The slope is 5/9. The slope is the rate of change of degrees F to degrees C. For each change of 9 degrees F, the corresponding change in degrees C is 5.

c.

The y-intercept is -160/9.

It means that a temperature of 0 degrees F equals -160/9 degrees C.

Answer:

1682.46 cubic feet

Step-by-step explanation:

The formula for volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

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3.14 × 49 × 11 = 1682.46

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Have a good day :)

Answer:

D: (4, 6)

Step-by-step explanation:

undefined slope is when the line is vertical

so we are given a point (4, -1)

the best point that will make the slope undefined is D because it will make a vertical slope

Answer:

a=3w−y

Step-by-step explanation:

Step 1: Flip the equation.

−a+3w=y

Step 2: Add -3w to both sides.

−a+3w+−3w=y+−3w

−a=−3w+y

Step 3: Divide both sides by -1.

(-a)/1=-(3w+y)/1

a=3w−y

Answer:

(6,8)

Step-by-step explanation:

x2+10x=6

x2+10x-6=0

x=-10+-Square root of [10^2-4×(-6)]/2.1

x=-10+-Square root of 124/2

x=-5+square root of 31 and -5-square root of 31

Answer:

x⁴-x²+6 = 0

= x²(x²-1)+6=0