Find the sum of the geometric series 3+12+48+...+12,288

Answer:

option 2

Step-by-step explanation:

√8^2+(22/2)^2=√64+121=√185≈13.6

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Answer:

1/10

Step-by-step explanation:

Answer:

Total amount to be paid = $655

Step-by-step explanation:

Given,

Total price before coupon is  = 261.36 +381.25+77.52

= $720.13

Discount = 15%

Amount of discount = 15% of total amount

Amount of discount = [tex]\frac{15}{100} \times 720.13[/tex]

= $108.02

Remaining amount = Total amount - discount amount

Remaining amount = $720.13 - $108.02

= $612.11

Sales tax = 6%

Amount of sales tax = 6% of remaining amount

[tex]=\frac{6}{100} \times 612.11\\\\=42.85[/tex]

Amount to be paid = Remaining amount + sales tax

= 612.11 + 42.85

= 654.96

Rounding off to nearest whole number;

Total amount to be paid = $655

Answer:

Root square 25² - 15² = 20

Area = 20×15 = 300 cm²

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Answer:

The overall change is $1903.22

Step-by-step explanation:

Let us approach this problem step wise

1.Firstly let us calculate all 12 withdrawal of $175.25

12*$175.25= $2103

2. Let us calculate all the deposits made 17* $235.66 = $4006.22

With these figures we can calculate the overall changes as

= $4006.22-$2103= $1903.22

Answer:

Age of a student (B) and Time taken you run 1 mile (D)

Step-by-step explanation:

Only the age of a student and the time taken to run 1 mile are continuous data.

The data is classified into majorly four categories:

As per the given definitions above we can state that Continuous data is (B) the Age of the students (D) the Time taken to run 1 mile

Therefore, the Answer is (B) and (D)

Learn more about data here:

https://brainly.com/question/10980404

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Answer:

UDCVUEGBCYEJJAJAJ

Step-by-step explanation:

Answer:

[tex]268 {m}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 40 \times 13.4 \\ = 268 {m}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

A

Step-by-step explanation:

Answer:

Area of the garden in standard form:

Area = (2t^2) + 7t - 4

The dimension of the garden is 8ft × 7ft

Step-by-step explanation:

Length of the rectangular garden, L = t+4

Width of the garden, B = 2t - 1

Area = length * width

Area = (t+4) * ( 2t-1)

Area = (2t^2) + 7t - 4..….......(1)

If the Area = 56 ft^2

Substitute Area into (1)

56 = (2t^2) + 7t - 4

(2t^2) + 7t - 60 = 0

(2t^2) - 8t + 15t - 60 = 0

2t(t - 4) + 15(t - 4) = 0

(2t+15) (t-4) = 0

Let 2t + 15 =0

t = -7.5

Let t - 4 = 0

t = 4

* When t = -7.5

Length, L = -7.5 + 4 = -3.5 ft

Width, B = 2(-7.5) -1 = -16 ft

Since length and breadth cannot be negative, t = -7.5 is not possible

** When t = 4

Length, L = 4+4 = 8 ft

Width, B = 2(4) - 1 = 7 ft

Therefore, the dimension of the garden is 8ft × 7ft

Answer:

The dimension is 8ft by 7ft

Step-by-step explanation:

Given data

Length l =  [tex](t+4)[/tex]

Width w=  [tex](2t-1)[/tex]

the area  is expressed as  [tex]A= length * width[/tex]

[tex]A= (t+4)*(2t-1)\\A= t(2t-1) +4(2t-1)\\A= 2t^{2}-t+8t-4\\[/tex]

collecting like terms we have

[tex]A= 2t^{2} +7t-4[/tex]

hence our expression for area is [tex]A= 2t^{2} +7t-4[/tex]

given that the area is [tex]56ft^{2}[/tex]  to solve for the sides we need to first solve fot t

equating the expression for area to 56 we can solve for t

[tex]A= 2t^{2} +7t-4= 56[/tex]

taking the constant term to the other side and solve we have

[tex]A= 2t^{2} +7t-4-56\\A= 2t^{2} +7t-60\\[/tex]

we can substitute two factors for 7t that when multiplied we give -60 and when added we give 7  these factors are 15 and -8

[tex]A= 2t^{2} +7t-60\\\\A= 2t^{2} -8t+15t-60\\2t^{2} -8t+15t-60=0\\\\2t(t-4) +15(t-4)= 0\\2t+15=0, (t-4)= 0\\2t=-15, t= -7.5\\t= 4[/tex]

t=4  hence the length is

[tex](t+4)\\(4+4)= 8ft\\[/tex]

hence the width  is

[tex](2t-1)\\(2*4-1)= (8-1)= 7ft[/tex]

Answer:

left side: 3x *- (-2x) =8+7 right side: 2v -10 = -3v *-5

Step-by-step explanation:

on the left side you add 2x to move it from the right to the left. on the right side you multiply negative with positive which is negative

Answer:

$10.49

Step-by-step explanation:

if the problem doesn't account for tax, 73.43 divided by 7 is 10.49

Answer:

172

Step-by-step explanation:

13/40=x/528

40x=6864

x=172

Answer:

4,205

Step-by-step explanation:

5 + 7 = 12

10,092 ÷ 12 = 841

multiplier for the ratio is therefore 841.

5:7 is yes:no

since you want the number of yes votes, u take the 5 and multiply it by the multiplier found before.

5 × 841 = 4,205 yes votes.

Answer:

the slope of the equation

I think that X = -2 and Y = 1

I hope my answer will serve you.

Answer:

[tex] p(s) = -24s^2 +2200 s -18000[/tex]

If we use the valie of s =60 we have

[tex] p(60) = -24 (60)^2 +2200*60 -18000[/tex]

And after solve we got:

[tex] p(60)= -86400 +132000 -18000 =27600[/tex]

So then the best option for this case would be:

$27,600

Step-by-step explanation:

Using the following info in order to complete the problem:

p(s)=-24s^(2)+2200s-18000

$112,560

$27,600

$111,120

$236,400

$14,240

We have the following function given:

[tex] p(s) = -24s^2 +2200 s -18000[/tex]

If we use the valie of s =60 we have

[tex] p(60) = -24 (60)^2 +2200*60 -18000[/tex]

And after solve we got:

[tex] p(60)= -86400 +132000 -18000 =27600[/tex]

So then the best option for this case would be:

$27,600

Answer:

1663 m approx.

Step-by-step explanation:

We have a right triangle in which we know the hypotenuse and need to find the opposite side, so we use the sine function:

sin 12 = h / 8000

h = 8000 sin 12

= 1663 m approx.

Answer:

24 Inch

Step-by-step explanation:

When the square piece of metal is cut along the diagonal, it forms two right triangles where each of the right triangle has legs of 17 inches.

To determine the length of the hypotenuse, we use the Pythagorean Theorem.

[tex]\text{Pythagoras Theorem}: Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=17^2+17^2\\Hypotenuse^2=289+289\\Hypotenuse^2=578\\Hypotenuse=\sqrt{578} \\=24.04\\\approx 24$ inch ( to the nearest tenth of an inch)[/tex]

Answer:

24 square inches

Step-by-step explanation:

I think that the correct answer to the question is A

Aleecha107Junior Moderator

Answer:

The area would be 1 : 16 ratio, of the smaller rectangle to the larger one.

Step-by-step explanation:

I used a rectangle with the side length of 1 to model this for me. You can choose any number, but 1 is easy to multiply.

If the original rectangle had a side length of 1 and 1, the area would be 1.

If you reduce the size to 1/4th of the size, the area would be 0.0625, or 1/16th of the original.

I hope this helped!

Answer:

J plus 47 = 55

If you need to find J

The value of J is

J=55-47

J=8

Step-by-step explanation

Answer: B

21x^2-17x+2

Step-by-step explanation:

Look at the attached picture

Hope it will help you

Good luck on your assignment

Have a great day...

Answer:

The correct answer is D

Step-by-step explanation:

Answer: x-intercept = 2, y-intercept = -6

Step-by-step explanation:

To solve this problem, we must first convert 6x - 2y = 12 to slope-intercept form by getting y by itself.

1. 6x - 2y = 12

2. -2y = 12 - 6x

3. -2y/-2 = 12/-2 - 6x/-2

y = 3x - 6

Using our knowledge of what the slope-formula represents, we know that the -6 is the y-intercept.

To find the x-intercept, we set the formula equal to 0 instead of y and solve for x.

1. 0 = 3x - 6

2. 0 + 6 = 3x

3. 6/3 = 3x/3

x = 2

Answer:

60    88

Step-by-step explanation:

khn566

Answer:

60 and 88

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

i don't know the explanation step by step

I Believe that the correct answer is option C) 401 r

8,441 ÷ 21 = 401.952380952

HOPE THIS HELPED!!!

If not please comment below