Determine each measure. M

Problem 1

--------------------

Explanation:

a1 = 1.7 = amount of concrete for the first step

a4 = x = amount of concrete for the fourth step

Sn = sum of the first n terms of an arithmetic sequence

Sn = (n/2)*(a1 + an)

S4 = (4/2)*(a1 + a4)

S4 = 2(1.7+x)

S4 = 2x+3.4

S4 = 17

2x+3.4 = 17

2x = 17-3.4

2x = 13.6

x = (13.6)/2

x = 6.8

We need 6.8 cubic feet of concrete for the fourth step. We'll use this value to help us find the common difference d

an = nth term of an arithmetic sequence

an = a1 + d(n-1)

a4 = a1 + d(4-1)

a4 = a1 + 3d

6.8 = 1.7 + 3d

6.8-1.7 = 3d

5.1 = 3d

(5.1)/3 = d

1.7 = d

d = 1.7

Coincidentally, the common difference is the same as the first term. This won't always happen.

Now we can compute the 12th term

an = a1 + d(n-1)

a12 = 1.7 + 1.7(12-1)

a12 = 20.4

which is then used to find the sum of the first 12 terms

Sn = (n/2)*(a1 + an)

S12 = (12/2)*(a1 + a12)

S12 = 6(1.7 + 20.4)

S12 = 132.6

=============================================================

Problem 2

--------------------

Explanation:

The center is (h,k) = (0,10) which is where the nozzle is located.

The distance from (0,10) to (0,25) is 15 units, so r = 15.

Also, the distance from (0,10) to (0,-5) is also 15 units.

Plug those values into the equation below.

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-0)^2 + (y-10)^2 = 15^2\\\\x^2 + (y-10)^2 = 225\\\\[/tex]

That equation represents the boundary of the circle, which is where the water can reach.

=============================================================

Problem 3

--------------------

Explanation:

Or note that,

a3 = 0.81*(a2) = 0.81*(0.81a1) = a1*(0.81)^2 = 6.7*(0.81)^2 =  4.39587

which must mean,

This is based off the idea that [tex]a_n = a(r)^{n-1}[/tex]

So,

a6 = a1*(0.81)^5

a6 = 6.7*(0.81)^5

a6 = 2.33614554867

a6 = 2.336

Answer:

1.5

Step-by-step explanation:

Hope this helped!

If John is the divider then $5 is the consistent value with his share system.

The essential concept is that an object is divided into pieces by a divider. The remaining participants, referred to as choosers, make bids on the pieces they believe represent fair portions. Each chooser receives the portion that, in their opinion, represents a fair share, with the remaining portion going to the divider.

Given that the bag contains 100 Snickers, 100 Milky ways and 100 Reese's which john values at $1 , $4 and $5 respectively.

That means 1 Snicker, 1 Milky way and 1 Reese's for $0.01 , $0.04 and $0.05 respectively.

Suppose, John splits a bag of candy

a) first half : 50 Snickers, 50 Milky ways and 50 Reese's

b) second half :  50 Snickers, 50 Milky ways and 50 Reese's

The value of both of the half in John's terms ;

50 (0.01) + 50 (0.04) + 50 (0.05) = 0.5 + 2 + 2.5 = 5

Therefore, if John is the divider then $5 is the consistent value with his share system.

To learn more about the divider chooser;

https://brainly.com/question/16963612

#SPJ1                                                      

Proportional numbers are numbers with the same equivalent ratio

98/126 is proportional to 84/108

The number is given as:

[tex]Number = \frac{84}{108}[/tex]

Reduce fraction to the lowest term

[tex]Number = \frac{7}{9}[/tex]

Reduce 86/110 to the lowest term

[tex]Number = \frac{86}{110}[/tex]

Divide by 2/2

[tex]Number = \frac{43}{55}[/tex]

43/55 is not equivalent to 7/9

Reduce 98/126 to the lowest term

[tex]Number = \frac{98}{126}[/tex]

Divide by 14/14

[tex]Number = \frac{7}{9}[/tex]

7/9 is equivalent to 7/9.

Hence, 98/126 is proportional to 84/108

Read more about proportional numbers at:

https://brainly.com/question/1781657

Answer:

[tex] \frac{1}{14} [/tex]

Step-by-step explanation:

7 x (7+7)=7

7x [(14)]=7

x=

[tex] x = \frac{1}{14} [/tex]

plz write your proper question

Answer:

53

Step-by-step explanation:

We use the pythagorean theorem, a^2 + b^2 = c^2. We can fill a and b for 45 and 28. 45^2 is 2025, and 28^2 is 784. Adding them up gives us 2809. The square root of 2809 is 53.

Answer: 1300

Step-by-step explanation:

13*10 = 130*10=1300

Answer:

1300

Step-by-step explanation:

same bro I getting paid from doing people homework

Answer:

read explanation for answer

Step-by-step explanation:    Finding the distance between any two integers is obtained by;

Taking the absolute value of the difference between the two integer values.

For instance :

Point A = - 10

Point B = 5

The distance between the two integer points is :

Difference = Point A - Point B = - 10 - 5 = - 15

Absolute value = |-15| = 15

Therefore, This procedure works for any pair of integer distances.

Answer:Find the difference between two integers by adding the additive inverse. The distance is the absolute value of the difference. Check the distance by plotting the original two integers on a number line and counting the units between them.

Step-by-step explanation:

Answer:

g > -16

Step-by-step explanation:

-4 g< 64 (Given)

g > -16 (Sign flips sing you divided by a negative number)

Answer:

Step-by-step explanation:

Given system of linear equations:

Add up the equations to eliminate y:

Find y:

Answer:

35%

Step-by-step explanation:

We can use the equation "is over over" to give up 3325/9500*?/100, after simplifying your answer is 35%

Brainliest would be appreciated. :-)

B

Step-by-step explanation:

calculate how long the lines are

Answer:

A 3-column table with 4 rows. Column 1 is labeled Number of Girls with entries 2, 8, 0, 4. Column 2 is labeled Height in Inches with entries 51, 52, 53, 54. Column 3 is labeled Total Height with entries 102, 416, 0, 216. The national average height for girls in the sixth grade is also 52 inches. Find the average height of the girls in this class. The total number of girls is . The total height of the girls is inches. The expression to find the mean is . The average height of the girls in this class is inches.

Step-by-step explanation:

mark me brainliest ok

Answer:

no

Step-by-step explanation:

2/3 does not equal 7/12.

there would need to be 8 paintings by seventh graders for every 12 by eighth graders in order to have an equivalent ratio.

Answer:2/4

Step-by-step explanation: you would just subtract 3/4 by 1/4 to get 2/4

Answer:

yes

Step-by-step explanation:

Ratios are equivalent if they are multiples or divisors of each other.

5 : 2 ( multiply both sides by 6 )

= 30 : 12

or

30 : 12 ( divide both sides by 6 )

= 5 : 2

Thus 5 : 2 and 30 : 12 are equivalent ratios

Answer:

equivalent

Step-by-step explanation: 5 x 6 = 30      2 x 6 = 12

Answer:

  $900

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  I = PRT

  I = ($4500)(0.05)(4) = $900

The total interest was $900.

[tex]\large\tt\green{Answer}[/tex]

[tex]\large\tt\green{Step-by-step \: explanation}[/tex]

Step 1:

Put the numbers in the formula and do the arithmetic.

Step 2:

Rename 5% into decimal

Step 3:

Solve the problem with the full solution.

Therefore, the total interest was $900

Answer:

Step-by-step explanation:

First 1 ÷ 5 ×16

= 3.2

Then 3.2 × 1 ÷ 3

= 1.06

Answer:

see explanation

Step-by-step explanation:

(16)

The mid segment ZW is half the sum of the parallel bases

ZW = [tex]\frac{38+20}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29

(17)

The lower base angles are congruent , so

∠ UYX = ∠ VXY = 35°

(18)

Any lower base angle is supplementary to any upper base angle , then

∠ VUY = 180° - ∠ UYX = 180° - 35° = 145°

(19)

[tex]\frac{UV+XY}{2}[/tex] = ZW

[tex]\frac{3x-1+7x+1}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )

10x = 20 ( divide both sides by 10 )

x = 2

Then

XY = 7x + 1 = 7(2) + 1 = 14 + 1 = 15

(20)

The legs are congruent , so

UY = VX

5a - 6 = 3a + 2 ( subtract 3a from both sides )

2a - 6 = 2 ( add 6 to both sides )

2a = 8 ( divide both sides by 2 )

a = 4

Answer:    

There are three ways to solve systems of linear equations in two variables: graphing. substitution method. elimination method.

Step-by-step explanation: hope this helps :)

Answer:

20

Step-by-step explanation:

This is the formula for a combination. Substitute the values and evaluate the expression.

[tex]\frac{n!}{r!(n-r)!}\\\\\frac{(6)!}{(3)!(6-3)!}\\\\\frac{(6)!}{(3!)(3!)}\\\\\frac{(6\cdot5\cdot4\cdot3\cdot2\cdot1)}{(3\cdot2\cdot1)(3\cdot2\cdot1)}\\\\\frac{720}{(6)(6)}\\\\\frac{720}{36}\\\\ 20[/tex]

Answer:

  x = 25, y = 19

Step-by-step explanation:

The external angle is supplementary to the adjacent internal angle.

  2x +130 = 180

  2x = 50 . . . . . . . subtract 130

  x = 25 . . . . . . . divide by 2

__

The external angle is equal to the sum of the remote internal angles.

  130 = 54 +4y

  76 = 4y . . . . . . . subtract 54

  19 = y . . . . . . . divide by 4

Answer:

I am stuck on the same question please comment if someone answers

Answer:

3

Step-by-step explanation:

Okay so 18 chairs were used more for 6 more rows so each row has 3 length.

x = 3

Now this makes no sense, because I don't know why you would leave 6 chairs if you only have 3 chairs for each row but....(Hue is weird so let's not question him)

Anyways mathematically

first arrangement = 2x + 6

second arrangement = 8x - 12

2x + 6 = 8x - 12

6x = 18

x = 3

Answer:

xy-11=5

ANSWER:

=16

Step-by-step explanation:

hope it helps to you

mark me as a brainlest please

Answer:

12.5%

Step-by-step explanation:

I divided 30 (the amount he lost) by 240 (his original weight). I get 0.125, but need to move the decimal over 2 places to get the percentage.

The pressure in a fluid flowing with laminar flow through a pipe is given by

Hagen-Poiseuille equation.

The correct responses are;

Reasons:

When the flow is a steady incompressible flow through pipe, the flow rate

can be derived from the Hagen-Poiseuille equation as follows;

[tex]\displaystyle \dot V = \mathbf{\frac{\left[\Delta P - \rho \cdot g \cdot L \cdot sin\left(\theta \right) \right] \cdot \pi \cdot D^4 }{128 \cdot \mu \cdot L}}[/tex]

ΔP = 135 kPa - 88 kPa = 47 kPa

The density of the oil, ρ = 876 kg/m³

μ = 0.24 kg/(m·s)

L = 15 m

The diameter of the pipe, D = 1.5 cm = 0.015 m

(a) When the pipe is horizontal, we have;

θ = 0°

Which gives;

[tex]\displaystyle \dot V = \mathbf{\frac{\left[47 \times 10^3 - 876 \, kg/m^3 \times 9.81 \, m/s^2 \times 15 \, m \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}}[/tex]

[tex]\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}[/tex]

[tex]\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4 \, Pa \cdot sin\left(0^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m} =\frac{0.002379357\cdot \pi}{460.8}[/tex]

[tex]\displaystyle \dot V=\frac{0.002379357\cdot \pi}{460.8} = \mathbf{1.622 \times 10^{-5}}[/tex]

(b) When the pipe is inclined 8°, we have;

[tex]\displaystyle \dot V = \mathbf{\frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(8^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m}} = 1.003 \times 10^{-5} \, m^3/s[/tex]

(c) If the pipe is inclined 8° downward from the horizontal, we have;

[tex]\displaystyle \dot V = \frac{\left[47 \times 10^3\, Pa - 128903.4\, Pa \cdot sin\left(-8^{\circ} \right) \right] \times \pi \times (0.015 \, m)^4 }{128 \times 0.24 \, kg/(m \cdot s) \times 15 \, m} = 2.24\times 10^{-5} \, m^3/s[/tex]

Learn more about flow through pipes here:

https://brainly.com/question/6858718

Answer:

......................

Answer:

1156πcm²

Step-by-step explanation:

Diameter = 68cm

Therefore radius = 68 ÷ 2 = 34cm

Area of a circle = πr²

= π × 34cm × 34cm

= π × 1156cm

= 1156πcm²

NOTE: In case you're given the value of pi, substitute it into the formula to get your answer