The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is

A. 32.4

B. 97.2

C. 121.5

D. 162. 1​

Answer:

Step-by-step explanation:

A parallelogram has these characteristics that can be useful for answering this question:

__

Opposite sides are the same length: a parallelogram

__

Two isosceles triangles share a base segment. Not necessarily a parallelogram.

__

The diagonals bisect each other: a parallelogram

__

Opposite sides are parallel: a parallelogram. We know BD║AC from the converse of the alternate interior angles theorem. AB and CD are marked parallel.

Answer:

  right triangle

Step-by-step explanation:

I find it convenient to answer questions like this by computing a "form factor" that subtracts the square of the long side from the sum of the squares of the shorter sides. The sign of this value is the sign of the cosine of the largest angle in the triangle.

  f = a² +b² -c²

  f = 11.2² +21² -23.8²

  f = 125.44 +441 -566.44 = 0

The cosine of the largest angle is 0, so that angle is 90° and the triangle is a right triangle.

[tex]4(3x + 5) - 5(8x + 2) \\ 12x + 20 - 40x - 10 \\ 12 x - 40x + 20 - 10 \\ - 28x + 10[/tex]

We are given –

We are asked to find, how much Carlos owns and how much they have together.

Explanation :-

At first, we just need to multiply 45 by 5, and then we will divide the value by 9, so we find that:

[tex]\qquad[/tex][tex] \bf \longrightarrow 45 \times 5 = 225[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow \dfrac{225}{9} = 25[/tex]

Now to find out how much they have together. We have to add Paul's amount to Carlos' amount for that.

[tex]\qquad[/tex][tex] \bf \longrightarrow 25 + 45 = 70[/tex]

Answer:

The state itself is 50% of the total height.

Explanation:

Well, if the height including the base is 300 ft, that'd mean the total height of the statue itself is (300-150) ft = 150 ft.

Thus, it is (150/300)*100% = 50% of the total height.

Answer:

each avocado is 0.85 cents

Step-by-step explanation:

you will subtract  $8.54 and $5.99 and you will get $2.55 then, when you get that and you will divide $2.55 by 3 and the total will come out to 0.85 so that means that each avocado is 84 cents

Answer:

5 and 15

Step-by-step explanation:

15+5=20

5x4=20

Three-dimensional objects

the outer diameter: 10 cm, r₁ = radius = 5 cm

the inner diameter: 9 cm, r₂ = 4.5 cm

volume of metal:

[tex]\tt =\dfrac{4}{3}\pi(r_1^3-r_2^3)\\\\=\dfrac{4}{3}\pi(5^3-4.5^3)\\\\=141.952\:cm^3[/tex]

Answer:

(6,-1)

Step-by-step explanation:

Hi there!

We are given the following system:
x-2y=8

8x+6y=42

And we want to solve it by substitution

Substitution is where we solve one of the equations in the system for a variable for an expression containing the other variable, then substitute that expression into the other equation, then solve the equation for that variable, then use the value of the solved variable to find the value of the first variable.

It's easier to solve a system for a variable if the leading coefficient in front of a variable is 1, like with x in x-2y=8

So let's solve the equation for x.

add 2y to both sides

x-2y=8
 +2y +2y
________________
x=2y+8
Now substitute 2y+8 as x in 8x+6y=42

8(2y+8)+6y=42

Multiply

16y+64+6y=42

Subtract 64 from both sides

16y+6y=-22
Add 16y and 6y together

22y=-22

Divide both sides by 22

y=-1

Substitute -1 as y into x=2y+8 to solve for x

x=2(-1)+8

Multiply

x=-2+8

x=6

The answer is x=6, y=-1, or as a point, (6, -1)
Hope this helps!

See more on solving systems of equations by substitution here: https://brainly.com/question/26559381

Answer:

1.85%

Step-by-step explanation:

→ Find the difference between the actual and predicted

5.5 - 5.4 = 0.1

→ Divide answer by 5.4

0.1 ÷ 5.4 = 0.01851851851

→ Multiply answer by 100

0.01851851851 × 100 = 1.85%

Answer: $112

Step-by-step explanation:

o get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 560 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 560 is 100%, so we can write it down as 560=100%.

4. We know, that x is 20% of the output value, so we can write it down as x=20%.

5. Now we have two simple equations:

1) 560=100%

2) x=20%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

560/x=100%/20%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 20% of 560

560/x=100/20

(560/x)*x=(100/20)*x       - we multiply both sides of the equation by x

560=5*x       - we divide both sides of the equation by (5) to get x

560/5=x

112=x

x=112

now we have:

20% of 560=112

Answer:

m∠Q = 121°

m∠R = 58°

m∠S = 123°

m∠T = 58°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Create an expression for the sum of all the angles and equate it to 360, then solve for x:

      ∠Q + ∠T + ∠S + ∠R = 360

⇒ 2x + 5 + x + 2x + 7 + x = 360

⇒ 6x + 12 = 360

⇒ 6x = 360 - 12 = 348

⇒ x = 348 ÷ 6 = 58

So now we know that x = 58, we can calculate all the angles:

m∠Q = 2x + 5 = (2 x 58) + 5 = 121°

m∠R = x = 58°

m∠S = 2x + 7 = (2 x 58) + 7 = 123°

m∠T = x = 58°

Answer:

Hello again, as I said in your previous question, I don't have any other information to possibly answer this. They must have sold a lot of tickets to get that much money. How many people bought the tickets? How much does one ticket cost?

Hope this helped, please provide more information next time to properly answer you :)

Answer:

2.1

Step-by-step explanation:

Here we will simplify the ratio 30:15 for you and show you how we did it.

To simplify the ratio 30:15, we find the greatest common divisor of 30 and 15, and then we divide 30 and 15 by the greatest common divisor.

The greatest common divisor that you can use to simplify 30:15 is 15. Which means the answer to ratio 30:15 simplified is: 2.1

Answer:

1/2b - 5 (the third one)

Step-by-step explanation:

"Denni is five years less..."

this tells us we will need to be subtracting five, which knocks out the other answers.

"..one-half his brothers age."

since b represents the age of his brother, one half his brothers age is 1/2b  

That leaves us with 1/2b - 5

Answer:

Ans=0=315⁰

Step-by-step explanation:

Hope this helps :)

Answer:

Here we have a problem with translations, where we define a translation as an operation that moves the graph of a function in a given direction.

We will see that the correct option is A.

"The graph of f is shifted 3 units up to create the graph of g."

To get this, we first need to describe vertical translations.

For a function f(x) we define a vertical translation (or vertical shift) of N units as:

g(x) = f(x) + N

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

So here we have:

g(x) = f(x) + 3

So we can see that this is a translation of 3 units upwards, then the correct option is A, the graph of f(x) is shifted (or translated) 3 units up to greater the graph of g(x).

And the graphs of g(x) = x + 3 and f(x) = x can be seen below, where you can see this, where the grey line is g(x).

Step-by-step explanation:

Answer: the asnwer is 80 degrees

Step-by-step explanation:

Answer:

4 (3)/(8) + 5(6)/(10)

Step-by-step explanation:

4 3/8= 35/8

5 6/10 = 28/5

= 9 39/40

Answer:

did yall ever find the answer

Step-by-step explanation:

Answer:

5330

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  73

Step-by-step explanation:

1- Transform the expression

2- Calculate

Answer:

Try 11.25 miles

Step-by-step explanation:

Answer:

The unknown number is -5

Step-by-step explanation:

Let n represent the unknown number then...

3n=-15

Divide both sides by 3

(3n)/(3)=(-15)/(3)

n=-5

Step-by-step explanation:

1. [tex]x+6 + 3x + 2 + 2x + 4[/tex]

Combine Like Terms:

Answer: [tex]6x+12[/tex]

G

2. [tex]6x + 4 + 7x + 1 + 5x + 7[/tex]

Combine Like Terms:

Answer: [tex]18x+12[/tex]

B

3. [tex]4x-3 + 3x + 5x - 6[/tex]

Combine Like Terms:

Answer: [tex]12x-9[/tex]

I

4. [tex]6x - 8 + 3x + 7 + 5x - 3[/tex]

Combine Like Terms:

Answer: [tex]14x-4[/tex]

H

Your code is, GBIH

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

Explanation:

The set of given numbers sorts to this

11, 50, 72, 78, 80, 81, 85, 89, 94, 96, 97, 98

The majority or main cluster of the values are between 50 and 98. The outlier 11 is off on its own pretty far from the main cluster.

Let's find the mean of every value in this set. If you added up all the numbers, then you should get 931. Divide this over the number of values (12) and the mean of this set is roughly 931/12 = 77.5833

Now let's kick out the outlier 11. The 931 will drop to 931-11 = 920. Divide that new smaller sum over the 12-1 = 11 items left to get 920/11 = 83.6364 approximately.

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

To summarize so far:

We see that the mean has increased. This is because the outlier was pulling down on the mean to make it smaller than it should be. Once the outlier is out of the picture, the new mean will increase and better represent the center of the main cluster.

Answer:

C) 3

Step-by-step explanation:

The number of significant figures in a measurement basically means how many decimal digits there are after the decimal point. Since the decimal portion of the measurement is 050, there are 3 digits, so there are 3 significant figures in the measurement

The nth term of an arithmetic sequence is given by:—

an = a + (n – 1)d

So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula