I need help!!! :( pleaseeee

Given:

First five consecutive positive integers.

To find:

The sum of the first 5 consecutive positive integers.

Sum of the first ​n ​consecutive whole numbers.

Solution:

First five consecutive positive integers are 1, 2, 3, 4 and 5.

Sum of these numbers is

[tex]1+2+3+4+5=15[/tex]

Therefore, the sum of the first 5 consecutive positive integers is 15.

First ​n ​consecutive whole numbers are 0, 1, 2, 3,..., (n-1). These numbers are in AP.

Here, first term is 0 and common difference is 1.

Sum of n terms of an AP is

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

where, a is first term and d is common difference.

Substitute a=0 and d=1 in the above formula.

[tex]S_n=\dfrac{n}{2}[2(0)+(n-1)(1)][/tex]

[tex]S_n=\dfrac{n}{2}[n-1][/tex]

Sum of first 5 consecutive positive integers is equal to the sum of first 6 consecutive whole number because in whole numbers 0 is extra number.

For n=6,

[tex]S_6=\dfrac{6}{2}[6-1][/tex]

[tex]S_6=3(5)[/tex]

[tex]S_6=15[/tex]

The sum of the first 5 consecutive positive integers is 15.

So, the sum of (n-1) consecutive positive integers is

[tex]S_n=\dfrac{n}{2}[n-1][/tex]

Answer:

.4 lbs

Step-by-step explanation:

Answer:

i got

[tex] \frac{4}{3} [/tex]

I may be wrong but if not mark brainliest

Apex: 25 feet is the correct answer!

Step-by-step explanation:

Take it or leave it:) Good Luck

The height of the pole is 25 foot (approximate)

The angle of elevation is the angle formed between the horizontal line and a given observer’s line of sight. From its name, the angle of elevation represents the angle formed by the ground or base and the direction or the observer’s line of sight as the observer looks up at an object.

Given,

The shadow of the flagpole = 40 foot,

and the angle from the tip of the shadow to the tip of the flagpole = 32°

Perpendicular is the height of the pole and Base is its shadow.

Tan(x)=(perpendicular)÷(base)

Tan(32°) = 0.624869352

0.624869352 = (height of pole)÷40

0.624869352 x 40 = height of pole

24.9947741 = height of pole

Height of pole = 24.9947741

Height of pole ≈ 25 foot

Hence, tthe height of the pole is 25 foot (approximate)

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Complete Question

The  diagram for this question is shown on the first uploaded image

Answer:

The position of the emitter is  [tex]E =  +  72.9 \  cm\ from\ the\ center [/tex]

The position of the stone is   [tex]S =  - 72.9 \  cm\ from\ the\ center [/tex]

Step-by-step explanation:

From the question we are told that

   The  length is  l =  178 cm

    The  width is  w  =  102 cm  

Generally the position of the stone along the horizontal axis is mathematically evaluated as

         [tex]h  =  \frac{178}{2}[/tex]

=>      [tex]h  = 89 \  cm   [/tex]

Generally the position of the emitter along the vertical axis is mathematically evaluated as

         [tex]k =  \frac{102}{2}[/tex]

=>      [tex]k  = 51 \  cm   [/tex]      

Generally the  resultant position of both stone and the emitter is

       [tex]R  =  \pm \sqrt{h^ 2  - k^2}[/tex]

=>     [tex]R  = \pm  \sqrt{89^ 2  - 51^2}[/tex]

=>     [tex]R  = \pm 72.9 \  cm   [/tex]

Hence the position of the emitter is  [tex]E =  +  72.9 \  cm[/tex]

            the position of the stone is   [tex]S =  - 72.9 \  cm[/tex]

Answer:

-10 + (-7)= -17

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

-10 plus -7 is -17

Answer:

A

Step-by-step explanation:

cos that's the midpoint

Answer:

146

Step-by-step explanation:

Since we know that this is a rhombus, we know that opposite angles must be equal to each other. This means that angle QTS is equal to angle QRS. Therefore angle QTS also equals 34.

Now, we also know that all the interior angles in a quadrilateral add up to 360. We can subtract 360-34-34=292.

Now we know that the remaining two angles S and Q need to add up to 292. We also know that they are equal because they are opposite angles. Therefore, we can solve the equation 292÷2=146. Each of these angles is 146. So the measure of angle S is 146.

The measure angle of S is 146 .

A rhombus is a special case of the parallelogram and is a quadrilateral with four equal sides. In a rhombus, the opposite sides are parallel and the opposite angles are equal. Also, all the sides of the rhombus are equal in length and the diagonals bisect each other at right angles. The rhombus is also known as a diamond.

By symmetry ;

This means that m∠QTS is equal to m∠QRS. Therefore ∠QTS is also equals 34.

We also know that The common property for all the above four-sided shapes is the sum of interior angles is always equal to 360 degrees. For a regular quadrilateral such as square, each interior angle will be equal to: 360/4 = 90 degrees.

Now we know that the remaining two angles S and Q need to add up to 292.

= 360 -34 -34= 292

We also know that they are equal because they are opposite angles.

Therefore, we can solve the equation,

[tex]\frac{sum of two opposite angle}{2}[/tex] = [tex]\frac{292}{2}[/tex] = 146

Each of these angles is 146.

So the measure of angle S is 146.

For the more information about properties of rhombus click the link given below.

https://brainly.com/question/4115340

Answer:

[tex]5+2*(7-4) =11[/tex]

Step-by-step explanation:

This expression was kind of trial and error for me seeing as I'm not really good at logic, but this is pretty basic. There are three possible places the parentheses can be placed (assuming each pair holds 2 terms);

[tex](5+2)*7-4\\5+(2*7)-4\\5+2*(7-4)[/tex]

The answer to the first expression would be 45, which is not equal to 11.

The answer to the second expression would be 15, which is also not equal to 11.

The answer to the last expression is 11, so that is the correct answer.

Hope this helped :D

- Shay

12=8 minutes

24=16 minutes

36=24 minutes

48=32 minutes

Answer:

8 min in 12, 16 in 24, 24 in 36, and 32 in 48

Step-by-step explanation:

First of all, we know that 12 blocks is done 8 minutes. and we see the 12, 24, 36, and 48 are all multiples of 12, so that pattern is adding 12. That means we shall continue the pattern with multiples of 8. So, for every 24 blocks, it will take 16 minutes, and in 36 blocks, it will take 24 minutes, and so on. I hope this helps and I hope it's right, and if it isn't I apologize.

Answer:

I think the answer is A because Irrational numbers cannot be written in as a fraction but the do repeat at the point

Answer:

6C2 = 15

# of ways to select two from the bag: 20C2 = 190

---

P(2 red) = 15/190 = 3/38

Step-by-step explanation:

Answer:

81x4 = (9x^2)^2, 121a6 = (11a^3)^2, 0.09y12 = (0.3y^6)^2, 4/9b6 = (2/3b^3)^2

Step-by-step explanation:

sqrt of 81 = 9, (we do sqrt because its the inverse to exponents) x^4, x^2 * x^2 = (9x^2)^2

sqrt of 121 = 11, a^6, a^x * a^2 = a^6, x = 3, (11a^3)^2

sqrt of 0.09 = 0.3, y^12 = y^x * y^2, x=6,(0.3y^6)^2

sqrt of 4/9 = 2/3, b^x * b^2 = b^6, x = 3, (2/3b^3)^2

^ = power, * = multiplication

Answer:

936 miles in 13 hours.

Step-by-step explanation:

if you divide 792 by 11 you get 72, which is the unit rate. You multiply that by thirteen and it is the answer 936.

Answer:

936 miles

Step-by-step explanation:

Answer: 1 + 4 = 5

Step-by-step explanation: To the right means to add, so 1 + 4 = 5.

Answer:

y=4x+b

Step-by-step explanation:

You said it was linear equations, so this would represent the slope (m)

y=mx+b

The original answer is 4/1 but that simplifies to 4 since for slope you can infer by yourself that it's 4/1 even when you just have 4 as the slope in the equation

I don't know the b but if you do, plug it in (b is the y-intercept)

Answer:

neither

Step-by-step explanation:

Answer:

(c)

Step-by-step explanation:

If these are

Parallel, slope of both the lines is same.

Perpendicular, if they are -ve reciprocal of each other.

In y = mx + c, slope is m.

Compare,

Slope of y=4x+1, is 4.

of 8y-16=2x is 2/8 = 1/4, which is reciprocal of 4,but not -ve.

So it is neither ll nor perpendicular.

Answer:

x > -4

Step-by-step explanation:

-2x-3<5

    +3 +3

-2x<8

/-2   /-2

x>-4

Basically, you subtract -3 from both sides to isolate -2x. Now the equation should be -2x<8. You divide by -2 on both sides to isolate the variable (x) and you should end up with x<-4. You flip the sign because you divided by a negative number. You should end up with x>-4.

Answer:x=4 and y=7

Step-by-step explanation:

Answer:

1 7/12

Step-by-step explanation:

The answer is 1/3+1 1/4 and if you make them common fractions it is 4/12+1 3/12=1 7/12

Answer:37/12

Step-by-step explanation:

1/3+11/4=37/12

Answer:C.

−y2−5xz+z2−x2

Step-by-step explanation:

Took the test got it right

The solution is Option C = ( -y² - 5xz + z² - x² )

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

Expression 1 = y² - 4xz + z²

Expression 2 = x² + xz + 2y²

Let Expression 1 - Expression 2 = A

To find Expression 1 - Expression 2 = A

A = y² - 4xz + z² - ( x² + xz + 2y² )

By grouping the like terms , we get

A = ( y² - 2y² ) - ( 4xz + xz ) + z² - x²

Therefore,

A= - y² - 5xz + z² - x²

Hence , the solution is ( -y² - 5xz + z² - x² )

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0.2 or 2/9 in fraction form I believe.

Answer:

y=1

Step-by-step explanation:

Plug in 2 for x in the original equation, this gives you y=2(2)-3. 2(2)=4 and 4-3=1 therefore y=1.

Answer:

j^6 / 18s^23

Step-by-step explanation:

You first by flipping the fraction to get rid of the negative exponents:

(j^6)/(6s^3(3s^5)^4) =

When there are exponents that are being exponentiated together, multiply them:

(j^6) / (6s^3)(3s^20) =

When there are exponents that are being multiplied, add them:

(j^6) / (18s^23)

Answer:

[tex]9d = 36[/tex]

Step-by-step explanation:

See attachment for complete question

[tex]Length = 36ft[/tex]

[tex]n = 10[/tex]

From the question, we understand that one shrub must be at both ends.

Taking the first as a point of reference, we're left with:

[tex](n - 1) * distance = 36[/tex]

Substitute 10 for n and d for distance

[tex](10 - 1) * d = 36[/tex]

[tex]9 * d = 36[/tex]

[tex]9d = 36[/tex]

Hence:

[tex]9d = 36[/tex] answers the question

Answer:

27

Step-by-step explanation:

5*6=30

6/2=3

30-3=27

[tex]5w - \dfrac{w}{x} [/tex]

w=6

w=6x=2

Let's put value of w and x

→[tex]5 \times 6 - \dfrac{6}{2} [/tex]

Step 1:

→[tex]30 - 3[/tex]

Step 2:

→[tex]\purple{27✓}[/tex]

Answer:

17.8

Step-by-step explanation:

use [tex]a^{2} +b^{2} =c^{2}[/tex] to get your answer

Answer:

Fourth option

Step-by-step explanation:

You can use a scientific calculator

Answer:

Step-by-step explanation:

Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles

Lucy shares 1/3 with Carol and keeps 1/4 for herself.

This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.

C = 1/3x

L = 1/4x

We are also told that Carol has 7 more marbles than Lucy

C = L + 7

Since C = 1/3x  and L = 1/4x you can sub these into the above equation and you get:

1/3x = 1/4x + 7

Subtract 1/4x from both sides

1/3x - 1/4x = 7

1/12x = 7

Multiply both sides by 12 to find x.

x = 7 times 12 = 84 (Total amount of marbles = 84)

Amrita gets the remaining number of marbles.

A = x - C - L

A = 84 - 1/3 (84) - 1/4 (84)

A = 35

Answer:

120

Step-by-step explanation:

The common denominator of 24/1 and 5/6 is 6 so you multiply 24/1 by 6 which equal 144/6. Then you multiply 144/6 and 5/6 which equals 720/6. When you simplify it, it equals 120.

Answer:

35 and 37

Step-by-step explanation:

Answer:

35 and 37

Step-by-step explanation: