Which of the following represents the sum of the series below? 4 7 10 13 16 19 22 25 28 31 34 37 40

Answer:

(- 2, - 3 )

Step-by-step explanation:

y = 3x + 3 → (1)

y = x - 1 → (2)

substitute y = 3x + 3 into (2)

3x + 3 = x - 1 ( subtract x from both sides )

2x + 3 = - 1 ( subtract 3 from both sides )

2x = - 4 ( divide both sides by 2 )

x = - 2

substitute x = - 2 into either of the 2 equations and evaluate for y

substituting into (2)

y = - 2 - 1 = - 3

solution is (- 2, - 3 )

Answer:

y = -3, x = -2

Step-by-step explanation:

1. Substitute "y = x - 1" in for y in the first equation:

x - 1 = 3x + 3

2. Isolate x:

x = 3x + 3 + 1

3. Combine like terms:

-2x = 4

4. Solve for x:

-2x/-2 = 4/-2

x = -2

5. Solve for y with substitution (using the second equation):

y = -2 - 1

y = -3

hope this helps!

Answer:

A) 24

Step-by-step explanation:

½(6)(6+2) = ½ (48) = 24

The area of the cylinder is the amount of space on it.

Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter

The lateral surface area of a cylinder is:

L = 2πrh

The question is incomplete. Assume the following parameters

Radius, r = 10

Height, h = 5.

Then we have:

L = 2 * 3.14 * 10 * 5

Evaluate the product

L = 314

Using the assumed values, the lateral surface area of the cylinder is 314 square centimeter

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Answer:

Option A :- 0. 0385

Step-by-step explanation:

Since a is the first letter in the alphabet

and in total there are 26 alphabet

We divide 1 by 26

⇢ 1 ÷ 26

⇢ 0.038461538461538

⇢ 0. 0385

Probability = 0. 0385

~Done~

Answer:

[tex]\huge\boxed{\bf\:0. 0385}[/tex]

Step-by-step explanation:

Told number of alphabets in the English language

= {A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z}

= 26 alphabets.

Out of all these 26 alphabets, we need to find the probability that the letter chosen at random will be 'A'.

Probability that the letter chosen at random is 'A'

= Alphabet 'A' / Total number of letters

= 1/26

= 0.0385

[tex]\rule{150pt}{2pt}[/tex]

The number of prizes that Sam was able to buy based in the division illustrated is 17 prizes.

The total number of books that was read will be:

= 15 + 13 + 16

= 44 books

Since he earned 2 tickets for each bok read, the number of tickets gotten will be:

= 2 × 44

= 88

Finally, Sam was able to buy a prize for every 5 tickets he earned. Therefore, the number of prizes will be:

= 88/5

= 17 tickets

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Answer:

x = -27

Step-by-step explanation:

x(x+3)=2(x+15)

x+3=2x+30

x+3-2x+30

x-2x=30-3

-x=30-3

-x=27

x = -27

The graph that represents the solution set for x > -6 is Graph D.

In mathematics, a number line is a straight line that represents numbers and their relative positions. It is a visual representation of the real number system.

To find the solution set for the inequality 2x + 3 > -9,

2x + 3 > -9

Subtract 3 from both sides:

2x > -12

Divide both sides by 2:

x > -6

The solution set for the inequality is x > -6, which means that x is greater than -6.

So, Among the given graphs, the graph that represents the solution set for x > -6 is Graph D.

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Answer:

Graph A

Step-by-step explanation:

Answer:

B, D, E

Step-by-step explanation:

Answer:

D, D, B

Step-by-step explanation:

multiply 744 by 1,000 to get your meters.

7 times the cost of each lawn, X will equal 210.

25 minus 12 is 13

this holds true for the one below also

Answer:

Area: Bottom face: A = (20 cm)(8 cm) = 160 cm²

Back face: A = (20 cm)(6 cm) = 120 cm²

Sloped face: A = (20 cm)(10 cm) = 200 cm²

Total: 528 cm²

Step-by-step explanation:

Hope this helps!

Answer:

what table???

Step-by-step explanation:

Answer:

4:08

Step-by-step explanation:

The current time is 3:30, 38 minutes later would be 4:08

Answer:

h = 11.3 cm

use tane rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

Here:

=========

[tex]\hookrightarrow \sf tan(37)= \dfrac{h}{15}[/tex]

[tex]\hookrightarrow \sf h = tan(37) * 15[/tex]

[tex]\hookrightarrow \sf h = 11.3 \ cm[/tex]

Answer:

75%

Step-by-step explanation:

Answer:

The selling price is $62.50 And b is is 75%

Step-by-step explanation:

Answer:

Yed, it is possible as

Step-by-step explanation:

4 + 5 = 9

So, sum of two sides of a triangle is always greater than the third side(largest one)

Answer:An expression for the sequence of operations described is: In this exercise, you're required to write an mathematical (algebraic) expression

Step-by-step explanation:hope this can help you :)

We can try for loops along with conditional statements to get the indices of the needed numbers.

Zero-based indexing indexes the elements of an array or such container starting from 0, instead of starting from 1 (which is what we usually do in real life).

For this case, assuming we want to write code in python, and array being simple list, plus we want the index of only first two numbers found which add up to the target, we have:

for idx_1 in range(len(arr)//2 + 2):

   num_1 = arr[idx_1]

   found = 0

   for idx_2 in range(idx_1 + 1, len(arr)):

       num_2 = arr[idx_2]

       if target == num_1 + num_2:

               print(idx_1, idx_2)

               found = 1

               break

   if found: break

Here we used 'range' function for first loop, which defaulty generates integers from 0, but can generate integers from whatever integer. Like in the second loop, it generates number from idx_1 + 1. Also, it doesn't include the last integer, given by the upper limit for the range.

This python code gives the indices of a pair of two numbers from the array given which adds up to the target.

Thus, we can try for loops along with conditional statements to get the indices of the needed numbers.

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Step-by-step explanation:

you multiply both the top and bottom by the root if it was alone.

let's say if we had (1 - sqrt(2)) in the denominator. here we multiply both the numerator and the denominator by the conjugate.

the conjugate is formed by changing the sign between two terms in a binomial. so in this case the conjugate is

(sqrt(2) -1)

make sure to ask if you need any further guidance :)

Answer:

A no. is correct

Step-by-step explanation:

Hope it will help you..

Answer:

102 miles

Step-by-step explanation:

In 2 hours there are 7200 seconds ([tex]60*60 = 3600 * 2 = 7200[/tex])

In one second the bus travels 25 yards, so; [tex]7200 * 25 = 180,000 yards[/tex]

Converting yards to miles is:  [tex]x (yards) / 1760[/tex]

[tex]180000/1760 = 102.2727272...[/tex]

∴ The bus will travel 102 miles in 2 hours.

Answer:

5

Step-by-step explanation:

First divide 55 by 5 to find the number of hours he sat in total. Then subtract the 6 he sat on friday.

Answer:

(3x-2)^2

Step-by-step explanation:

3^2x^2-2*3x*2+3^2

(3x)^2 -2*3x*2+2^2

And youll get (3x-2)^2

Answer:

60°

Step-by-step explanation:

the angle Θ between vectors a and b is

cosΘ = [tex]\frac{a.b}{|a||b|}[/tex] = [tex]\frac{\frac{15}{2} }{3(5)}[/tex] = [tex]\frac{\frac{15}{2} }{15}[/tex] = [tex]\frac{1}{2}[/tex] , then

Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{1}{2}[/tex] ) = 60°

Answer:

cos θ= 60°

Step-by-step explanation:

cos θ= a . b/।a। ।b।

=15/2/3×5

=15/30

=1/2

cos θ=cos60°

θ=60

Answer:

161

Step-by-step explanation:

It's a system of equations, let's solve it step-by-step!

Equation: [3 * 2^5 + 13 * (-2)] + 7[8 - (4 - 9)]

2^5 = 32

so we have [3 * 32 + 13 * (-2)] + 7[8 - (4 - 9)].

3 * 32 = 96

so we have [96 + 13 * (-2)] + 7[8 - (4 - 9)].

13 * (-2) = -26

so we have [96 - 26] + 7[8 - (4 - 9)].

96 - 26 = 70

so we have 70 + 7[8 - (4 - 9)].

4 - 9 = -5

so we have 70 + 7[8 - (-5)].

8 - (-5) = 13 (the signs cancel out)

so we have 70 + 7[13].

7 * 13 = 91

so we have 70 + 91.

70 + 91 = 161

Therefore our answer is 161.

Answer:

you need to enlarge the picture so I can see it

Step-by-step explanation:

Then I'll edit my answer and do the problem.

Answer:

123

Step-by-step explanation: