Find the sum of the first 6 terms of the following sequence. Round to the nearest
hundredth if necessary.
324,
54,
9….

Answer:

D

Step-by-step explanation:

Answer:

18.75 pounds

Step-by-step explanation:

3.75 pounds per 5 batches

batch 1 :    3.75                                                                 7.5

add them +                                                                    +  7.5

batch 2:  3.75                                                                =   15

              =                                                                          +3.75

                7.5                                                                  = 18.75

                                                                                 hope this helped

batch 3:  3.75

add them +

batch 4  3.75

              =  7.5

    batch 5  3.75

Answer:

162 Cans more to reach goal of 550 cans.

Step-by-step explanation:

See attached image for the calculations

Answer:

height of the equilateral triangle is 5cm

by the use of Pythagoras

Step-by-step explanation:

Divide each term in

8x=1/4 by 8 and simplify.

Exact Form: x=1/32

Decimal Form: x=0.03125

[tex]~~~8^x = \dfrac 14\\\\\implies 2^{3x} = 2^{-2}\\\\\implies 3x = -2 \\\\\implies x = -\dfrac 23[/tex]

The equation that can be used to solve for n, the smaller of the two numbers would be n² + n - 210 = 0.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

If we use n to be the smaller number of two integer numbers, then the next consecutive number is n + 1.

The product of those two numbers would become n × (n + 1) = n (n + 1).

Half of that product is n (n + 1) / 2.

And the question states that the equation is equal to 105, so the equation becomes,

n (n + 1) / 2 = 105

Now we have to simplify that equation until we get an expression equal to one of the choices,

Multiply both sides by 2

n (n + 1) = 210

n² + n = 210

Subtract 210 from both sides

n² + n - 210 = 0

Thus, the equation formed is the quadratic equation.

Learn more about quadratic equations;

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Answer:

n² + n - 210 = 0 is your answer! hope it helps!

Step-by-step explanation:

Answer:

0.0000571

Step-by-step explanation:

Height after 9th bounce = Initial height * (19/100)^9

                                        = 177*(0.19)^9

                                        = 0.00005711572

Answer:

cos S = 7/25

Step-by-step explanation:

cosine is the ratio of the side adjacent to angle S and the hypotenuse.

use the pythagorean Theorem to or a Pythagorean triple to find the third side of the triangle It is a  7-24-25 triple or

b²=c²-a²

b=√c²-a²

b=√625-196

b=√49=7

cos S = 7/25

Answer:

[tex]la = 588 \: \: {cm}^{2} [/tex]

Step-by-step explanation:

Lateral area for trapezoidal prism:

- Is the sum of all the areas excluding the base area.

la - Lateral area

[tex]a = 20\\ b = 10 \\ c = 10 \\ d = 9 \\ l = 12[/tex]

[tex]la = al + \: bl + \: cl + \: dl[/tex]

[tex]la = l(a + \: b + \: c + \: d)[/tex]

[tex]la = 12(20 + 10 + 10 + 9)[/tex]

[tex]la = 588 \: \: {cm}^{2} [/tex]

Answer:

Not sure wha the options are, but is it "When a figure is translated, its orientation changes and the measure of its angles stays the same"

there isnt the word bank because you did not take a photo with the dropdown menu

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:10 {x}^{2} - 25x + 15 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:5(2x {}^{2} - 5x + 3) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:2x {}^{2} - 5x + 3 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:2x {}^{2} - 3x - 2x + 3 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(2x - 3) - 1(2x - 3) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x - 1)(2x - 3) = 0[/tex]

Therefore, the required factors are ~ (x - 1) and (2x - 3)

So, correct choice is B

Answer:

https://brainly.com/question/27407610

Step-by-step explanation:

Answer:

256 fluid ounces

Step-by-step explanation:

2 gallons = 8 quarts

8 quarts = 18 pints

18 pints = 32 cups

32 cups = 256 fluid ounces

1 gallon = 4 quarts x 2 that's 2 gallons = 8 quarts

1 quarts = 2 pints x 8 that's 8 quarts = 16 pints

1 pints = 2 cups x 16 that's 16 pints = 32 cups

1 cup = 8 fluid ounces x 32 that's 32 cups = 256 fluid ounces

The vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5), the correct option is C.

The vertex of a parabola is the highest or lowest point, also known as the maximum or minimum of a parabola.

The standard equation of the vertex of the parabola is;

[tex]\rm a(x - h)^2 + k[/tex]

Where h and k are the coordinates of the vertex of the parabola.

The given expression is;

[tex]\rm =3x^2 - 12x + 7\\\\= 3(x^2 - 4x) + 7\\\\ = 3[ (x - 2)^2 - 4)] + 7\\\\= 3(x - 2)^2 - 12 + 7\\\\= 3(x - 2)^2 - 5[/tex]

On comparing with the standard form of vertex of the parabola

h = 2 and k = -5

Hence, the vertex of g(x) = [tex]\rm 3x^2 - 12x + 7[/tex] is (2, -5).

To know more about parabola click the link given below.

https://brainly.com/question/20333425

The ellipse with the equation stated above is:
Position I (Option C )

An ellipse is a circle that has been extended in one direction such that it is no longer a circle but an oval.

Solution

In order to determine the position of the ellipse with the above equation, we can start by simplifying the equation.

Hence, 9x² + 16y = 144 becomes

x²/16 + y²/9 =  1 (We arrive at this by dividing both sides of the equation by 144);

The x-axis is the major axis because the biggest denominator is under the x² term.

Thus the coordinates of the vertices are as follows:

(± a, 0); (0, ± b)

Hence:

a² = 16 → a = 4

b² = 4 → b = 2

Hence the coordinates are:

(± 4, 0); (0, ± 2)

Given the above, the eccentricity is given as:

e = √(1 - (3/4)^2 = (√7)/4 = 0.6614378

Hence the ellipse is: 0.66

Learn more about Ellipse at:
https://brainly.com/question/2284093

Answer:

See below

Step-by-step explanation:

There are   27 C 5 ways to choose 5 doctors from 27

             = 27 ! /(22!  5!)  = 80730 ways to choose 5

This is a COMBINATION.

Answer: Combination

Step-by-step explanation: It has no order of selection. It is random and can't be paired like permutation.

Compare with another response

Answer:

The answer is given in the picture

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

The formula for interior angle of any polygon is (n-2) x 180 / n where n is the number of sides.

An octagon has 8 sides:

Part A.
interior angle = (8-2) x 180 /8

Interior angle = 135 degrees

Part B.
3x -57 = 135

Add 57 to both sides:

3x = 192

Divide both sides by 3:

X = 64

Answer:

2 cats

Step-by-step explanation:

12% of 24 = 2.88

Answer:

2 cats were adopted.

Step-by-step explanation:

When finding a percentage of something, heres a trick. Just take the number you taking the perccentage of, and mutiply it by the percentage. In this case, 24*12.

24*12 = 288.

Now take that new number and divide it by 100. Now you have your answer. In this case,

288/100 = 2.88.

Becuase these are cats, we can't have or adopt half of one XD. You can't adopt half of a cat, so we round it down to 2. Meaning, 2 cats were adopted.

Answer:

Example:

Sri Rangaman's flower garden is now a square. If she enlarges it by increasing the width 1 meter and the length 3 meters, the area will be 19 square meters more than the present area. What is the length of a side now?

Another Example how to solve it:

1. Solve the quadraticsa) (2x + 5)2 = 10b) x2 - 2x + 1 = 52. Given the formula HF = -16t2 + HI. How long does it take a ball to fall from a roof to the ground 25 feet below1. Solve the quadraticsa) (2x + 5)2 = 10b) x2 - 2x + 1 = 52. Given the formula HF = -16t2 + HI. How long does it take a ball to fall from a roof to the ground 25 feet below

How to use the square root function in word problems?Examples: 1. The floor of a square room is covered with square-foot floor tiles. If 81 tiles cover the floor, how long is each side of the room?2. Mr. Dase found a square digital image of a famous painting on a Web site. The image contained 490,000 pixels. How many pixels high is the image?

d(4.4)

hope it really helps ...!!!

Answer:

Step-by-step explanation:

the explanation is in the picture

Step-by-step explanation:

3×3 = 9, so it's greater than 3

3×4/3 = 4, so it's greater than 3

3×5/5 = 3, so it's equal to 3

3x4/9 = 4/3, so it's less than 3

3x5/6 = 5/2, so it's less than 3

Answer:

208

Step-by-step explanation:

the formula is:

2*(width*lenght+height*lenght+height*width)

2*(6*8+4*8+4*6)

208

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the given figure, it is given a net of cuboid where, the length is 8m, the breadth is 6m and the height is 4m and we have to find the surface area of the cuboid.

So, the formula for finding the surface area is ;

[tex]\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Surface\: area_{(cuboid)}=2(lb + bh + lh )}}}}}} \: \: \bigstar \\ \\[/tex]

Now, we'll substitute the values in the formula :

[tex]\\{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(8.6 + 6.4 + 8.4 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(48 + 24 + 32 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(104 }}}}}}) \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ { \pmb{ \frak{ { \: Surface\: area_{(cuboid)}=208 }}}}}}\: \: \\ \\[/tex]

Therefore,

Answer:

79 minutes.

Step-by-step explanation:

Look below me for a further explanation he/she is correct.

Answer:

79 minutes.

Step-by-step explanation:

539 - 230 is 309. Tyler swam 309 inutes the 2nd week and 230 minutes the first week.309 - 230 is 79 minutes. Tyler swam 79 minutes more in the 2nd week than in the first week.

2: 13.333 or 2: 13

multiply the 8 by 5/3 to combine the terms

Answer:

the answer is B, 4:00 am

Step-by-step explanation:

Answer:

At approximately what time on the next day does the depth first reach 4 meters?

3:00 am

4:00 am

5:00 pm

10:00 am

The correct answer is B. 4:00 am  

Answer:

90 degrees

Step-by-step explanation:

it is a right angle

[tex]-24 + 12d= 2(d-3)+22\\\\\implies -24 +12d = 2d-6 +22\\\\\implies 12d-2d-24+6-22 = 0\\\\\implies 10d -40=0 \\\\\implies d = \dfrac{40}{10} = 4\\\\[/tex]

Answer:

Step-by-step explanation:

In order to solve this equation, you must isolate it on one side of the equation.

Use the distributive property.

Distributive property:

⇒ -24+12d=2(d-3)+22

Multiply.

⇒ 2(d-3)+22

⇒ 2d-2*3

⇒ 2*3=6

⇒ 2d-6

Rewrite the problem down.

⇒ 2d-6+22

⇒ -6+22=16

⇒ 2d+16

⇒ -24+12d=2d+16

Then, you add by 24 from both sides.

⇒ -24+12d+24=2d+16+24

Solve.

⇒ 12d=2d+40

Subtract by 2d from both sides.

⇒ 12d-2d=2d+40-2d

Solve.

⇒ 12d-2d=10d

⇒ 10d=40

Divide by 10 from both sides.

⇒ 10d/10=40/10

Solve.

Divide the numbers from left to right.

⇒ 40/10=4

[tex]\Longrightarrow:\boxed{\sf{d=4}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

144

Step-by-step explanation:

do 5 into 600 and u get 12 have a good day!!!

Answer:

$144

Step-by-step explanation:

first, we need to divide 600 by 50, to get them organized for the best packages. 600/50 = 12.

then, we multiply that (the 12) by the cost ($12/ea) so 12*12 which is $144 if they use the bundling.

Answer:

[tex]a_{n}[/tex] = 11 [tex](2)^{n-1}[/tex]

Step-by-step explanation:

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

given a₁ = 11 and a₄ = 88 , then

11 r³ = 88 ( divide both sides by 8 )

r³ = 8 ( take cube root of both sides )

r = [tex]\sqrt[3]{8}[/tex] = 2 , then the nth term is

[tex]a_{n}[/tex] = 11 [tex](2)^{n-1}[/tex]