Given these two terms in a geometric sequence, find the recursive formula.
a1=4
a6=31104

Answer:

The number of pounds collected by Steve is [tex]39-j[/tex]

Step-by-step explanation:

Let

j----> the number of pounds collected by Joy

s ---> the number of pounds collected by Steve

we know that

[tex]j+s=39[/tex]

Solve for s

That means-----> Isolate the variable s

Subtract j both sides

[tex]s=39-j[/tex]

Answer:

A.

Step-by-step explanation:

To make a decimal into a percent you just move the decimal 2 times to the right.

0.24 = 24%

The percentage of females polled supported Wilson is about 44%

Given:

Total frequency of females polls = 0.54

Frequency of polls got by Wilson = 0.24

We have to find the percentage of female polls supported Wilson.

[Percentage Polls) × (Total frequency of females polls)] / 100 = Frequency of polls got by Wilson

⇒ Percentage polls = (0.24 × 100) / 0.54

⇒ Percentage polls = 44.44%

Therefore, the percentage of females polled supported Wilson is about 44%.

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For this case we have that the distance between two points is:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]

We have the following points:

[tex](x_ {1}, y_ {1}) :( 3 \sqrt {2}, 4 \sqrt {3})\\(x_ {2}, y_ {2}) :( 3 \sqrt {2}, - \sqrt {3})[/tex]

Substituting:

[tex]d = \sqrt {(3 \ sqrt {2} -3 \sqrt {2}) ^ 2 + (- \sqrt {3} -4 \sqrt {3}) ^ 2}\\d = \sqrt {(0) ^ 2 + (- 5 \sqrt {3}) ^ 2}\\d = \sqrt {0+ (25 * 3)}\\d = \sqrt {75}\\d = 5 \sqrt {3}\\d = 8.66[/tex]

Answer:

[tex]d = 8.66[/tex]

Answer:

Step-by-step explanation:

Only (c) makes sense.  The game draws people, which in turn means more cars and heavier traffic in the surrounding area.

Answer:

C) The traffic is heavier around the stadium when a game is being played. Games being played cause more traffic.

Step-by-step explanation:

Final answer:

The width of the parking lot is 11 meters and the length is 33 meters.

Explanation:

To find the width of the rectangular parking lot, let's assume that the width is 'x'. According to the given information, the length of the parking lot is three times the width, so the length is 3x.

The formula for the perimeter of a rectangle is P = 2(length + width). In this case, the length is 3x and the width is x. Plugging in these values, we get:
P = 2(3x + x) = 2(4x) = 8x

We know that the length of the parking lot is 88 meters, so we can set up an equation:
88 = 8x
To solve for x, divide both sides of the equation by 8: x = 11.

Therefore, the width of the parking lot is 11 meters and the length is 3 times the width, which is 33 meters.

Answer:

A coordinate pair that works as a solution is (1,3)

Answer:

A coordinate pair that works as a solution is (1,3)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

45+27=72

A- 15 times 9 equals 135

B- 8 times 9= 72

C 45 times 18 equals 810,

D- 14 times 12 equals 68

Choice D, perpendicular is when the slopes are inverted to each other such as 1/2 and -2/1

Answer:

D

Step-by-step explanation:

Answer:

two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Answer:

If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

The probability of throwing an even number (2 4 6) out of six numbers on the die (1 2 3 4 5 6) is

3/6

The probability of throwing a number greater than 1 is 5 out of 6.

The probability of both events occurring is 1/2 * 5/6 = 5/12 or just under 1/2

Answer:

there wouldbe 9 of height i think

Step-by-step explanation:

[tex]v=\frac{\pi r^2h}{3} \\\text{solving for h}\\3v=\pi r^2h\\\\\boxed{\frac{3v}{\pi r^2}} = h[/tex]

Luke does a work of 308Nm

If we have a constant force [tex]\vec{F}[/tex] that acts on a body in the same direction as the displacement [tex]\vec{s}[/tex], then the work [tex]W[/tex] is defined as the product of the force magnitude [tex]F[/tex] and the displacement magnitude [tex]s[/tex]. In other words:

[tex]W=Fs[/tex], which is valid for a constant force in direction of straight-line displacement.

In this problem:

[tex]F=22N \\ \\ s=14m[/tex]

Therefore:

[tex]W=22\times 14 \\ \\ \boxed{W=308Nm}[/tex]

I believe the equation would be x + 1 = 3y because as the x values increase by 1, the y values are multiplied by 3.

I hope this helps you!

Answer:

see explanation

Step-by-step explanation:

The form of the exponential function is

y = a [tex](b)^{x}[/tex]

To find a and b choose any 2 ordered pairs of points from the table

Using (0, 9) and substituting into the equation

9 = a[tex](b)^{0}[/tex] ⇒ a = 9

Using (1, 27) and substituting into the equation

27 = 9b ⇒ b = 3

Equation is y = 9[tex](3)^{x}[/tex]

The answer is:

a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

[tex]\sqrt{200}=14.14[/tex]

and rounding to the nearest tenth, we have that:

[tex]\sqrt{200}=14.1[/tex]

To solve the problem, we need to remember the following property of square roots:

[tex]\sqrt{ab}=\sqrt{a}*\sqrt{b}[/tex]

We are given the expression:

[tex]\sqrt{200}[/tex]

We can rewrite it by the following way:

[tex]\sqrt{100*2}[/tex]

Now, applying the square root property we have:

[tex]\sqrt{100*2}=\sqrt{100}*\sqrt{2}=10\sqrt{2}=14.14[/tex]

Therefore,

a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.

b) We have that:

[tex]\sqrt{200}=14.14[/tex]

and rounding to the nearest tenth, we have that:

[tex]\sqrt{200}=14.1[/tex]

Have a nice day!

Answer:

10 problems

Explanation:

The ratio can be used to find the number of problems left. Then, you can add all the problems together to find your final answer.

Answer: 8 + 4 + 1

Step-by-step explanation:

I didn't really understand your question. can you add a photo of the question

The answer for this problem is 40167.

To round this up to the nearest 10, if the ones is above 5, round it up.

To the nearest 10

40170

Answer:

40,170

Explanation:

 25,222

+14,945

 40,167

Then to round, we look at the ones column. Since there is a 7, which is greater than or equal to five, we round up to 70 from 67.

So our final answer is 40,170

Hope this was helpful, let me know of you need any further explanation!

Answer:

y int (0, -2) x int (5, 0) slope 2/5

Step-by-step explanation:

2(0)-5y=10

-5y=10

y=-2

2x-5(0)=10

2x=10

x=5

2x-5y=10

-5y=-2x+10

y=2/5 x -2

Answer:

9.8

Step-by-step explanation:

[tex]51.94 /5.3=9.8[/tex]

Answer: 9.8

How I Found The Answer: All You Had To Do Was Divide 51.94 by 5.3. Which Equals 9.8

Answer:

4x - 12

Step-by-step explanation:

Expand 8 - 4(-x + 5) as follows:

              8 + 4x - 20

               4x - 12    (First answer is the correct one)

8-4(-x+5)

Multiply the bracket by -4 first .

8+4x-20

--=positive

-+= negative

4x-12

8-20=-12 because 12 is bigger than 8

Answer:A

Answer:

I would cost $4.75

Step-by-step explanation:

9.50 / 2

4.75

Hope it´s helpfull :)

Answer:

6 cans cost $4.75

Step-by-step explanation:

To solve this divide $9.50 by 12. This will give you $0.7916... per one can.With that same number multiply it by 6 and you get $4.75.

Answer:

the answer is A and C

Step-by-step explanation:

Answer:

h = 6 cm  

l = (32-2(6)) =  20 cm

w = (40-2(6)) = 28 cm

Step-by-step explanation:

Given in the question a piece of cardboard having dimensions 32 by 40

Suppose we cut square of length x

When you cut square corners from a piece of cardboard, two sides are 32-2x, and other two sides are 40-2x lengths

Formula for the volume of box

v = height * length  * width

v = x  (32-2x)  (40-2x)

v = 4x³ - 144x² + 1280x

Find derivative and equal it to 0

dv/dx = 4(3)x² - (2)144x + 1280

      0 = 12x² - 288x + 1280

x1 = 18.110

x2 =5.88

Select x and plug value of x to find dimension

(32-2x) > 0

2x < 32

 x < 16

so domain say that x should be less than 16 which means x = 5.88 ≈ 6 cm

h = 6 cm  

l = (32-2(6)) =  20 cm

w = (40-2(6)) = 28 cm

Answer:

d only balance sheet accounts.

Step-by-step explanation:

Only permanent accounts are on the balance sheet which includes

assets, liabilities and equity acct.

A trial balance contains all accounts in the general ledger with their account balances, which are used to prepare financial statements such as the balance sheet and income statement.So,option a is correct.

A trial balance is an accounting report that lists all the accounts in the general ledger of an entity along with their respective account balances. It is prepared to check the arithmetical accuracy of the accounting records - to ensure that debits equal credits. Therefore, the correct answer to the question is:

a) All accounts contained in the general ledger with account balances.

The trial balance includes both income statement accounts, such as revenue and expenses, and balance sheet accounts, which include assets, liabilities, and equity accounts. It is commonly used as a step in the process of preparing the financial statements, which include the balance sheet, income statement, and statement of retained earnings. These components provide a more comprehensive view of an entity's financial health at a certain point in time or over a specified period.

Answer:

The student spent 60 minutes studying and got a 90 on the test

Step-by-step explanation:

The x coordinate is 60, which means they spent 60 minutes studying

The y coordinate is 90 which means they got a score of 90 on the test

The student spent 60 minutes studying and got a 90 on the test

Answer:

8 Batches

Step-by-step explanation:

Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.

She make total number of 8 batches.

Amount of sugar required per batch =  [tex]\frac{2}{3} [/tex] cup

Since, Elena used [tex]5\frac{1}{3} [/tex]  cups of sugar to make multiple batches of cookies.

To find number of batches she make, divide total amount of sugar by amount of sugar per batch.

Number of batches she make,

                             [tex]=5\frac{1}{3}\div\frac{2}{3}\\ \\ =\frac{16}{3}*\frac{3}{2}=8 [/tex]

Hence, She make total number of 8 batches.

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Answer:

Step-by-step explanation:

Note that this function is not defined at x = 0; it does have a vertical asymptote which is the line x = 0, as well as a horiz. asymptote which is the line y = 0.  This function is odd because the power of x is -1 (a negative odd number).   Half the graph appears in Quadrant I:  (1, 1), (2, 1/2), (3, 1/3), etc.

The other half is the reflection of the Quadrant I part in the origin, and this is because the function is odd.

For every x value (left or right), put it into the equation to find the y value (up or down).

For example, if the x value is 1, then the y value is 1/1 or 1.

No 5/8 is bigger because half of 8 is 4 and 5 is greater than 4

In comparing 1/2 gallon and 5/8 gallon, using equivalent fractions shows that 5/8 gallon is larger than 1/2 gallon.

In the comparison of 1/2 gallon and 5/8 gallon, it's important to remember that fractions provide a way of representing parts of a whole. With fractions, the numerator represents the part while the denominator represents the total parts. So here, the fraction 5/8 represents 5 parts of a total 8 parts, where 1 gallon is considered the 'whole' or 'total' amount.

To determine if 1/2 is greater or less than 5/8, we want to make the denominators the same for comparison. Multiply the numerator and the denominator of the first fraction (1/2) by four to get it to the same denominator as the second one. This results in 4/8 for the first fraction.

Now, comparing 4/8 and 5/8, we find that 5/8 is greater than 4/8. Therefore, 5/8 gallon is indeed more than 1/2 gallon.

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Answer:

[tex]A = 234mm^{2}[/tex]

Step-by-step explanation:

A rectangular prism (or orthohedron) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

The orthohedron is a straight prism and also a particular case of irregular quadrangular prism.

In a rectangular prism you can differentiate the following elements:

Bases: are two parallel and equal rectangles.

Faces: the four rectangles of the lateral faces and the two bases. Therefore, it has six faces.

Height : distance between the two bases of the prism. The height h coincides with any of the edges of the lateral faces.

Vertices: the eight points where three faces of the prism converge.

Edges: segments where two faces of the prism are found.

The surface area of ​​the rectangular prism (or orthohedron) is calculated by the following formula:

[tex]A=2(wh+lw+lh)[/tex] where w is width, l is length, and h is height.

Solving with l = 15mm, w = 3mm, and h = 4mm

[tex]A=2[(3mm)(4mm)+(15mm)(3mm)+(15mm)(4mm)][/tex]

[tex]A=2(12mm^{2}+45mm^{2} +60mm^{2}) \\A=2(117mm^{2})\\A= 234mm^{2}[/tex]

Answer:

Step-by-step explanation:

Look at the net of the prism in the picture.

We have

two rectangles 4mm × 15mm

two rectangles 3mm × 15mm

two rectangles 3mm × 4mm

The formula of an area of a rectangle: A = lw

l - length

w - width

l × w

Calculate the areas:

A₁ = 4mm · 15mm = 60mm²

A₂ = 3mm · 15mm = 45mm²

A₃ = 3mm · 4mm = 12mm²

The surface area:

S.A. = 2A₁ + 2A₂ + 2A₃

Substitute:

S.A. = 2 · 60 + 2 · 45 + 2 · 12 = 120 + 90 + 24 = 234mm²

Answer:

The equation of the line is y = -2x + 7

Step-by-step explanation:

* Lets study how to make an equation of the line from two point

- If the line passes through points (x1 , y1) and (x2 , y2)

- The form of the equation is y = mx + c, where m is the slope of the

 line and c is the y-intercept

- The rule of the slope is m = (y2 - y1)/(x2 - x1)

- The y-intercept means the line intersect the y-axis at point (0 ,c)

* Now lets solve the problem

∵ The line passes through points (-3 , 13) and (4 , -1)

- Let (-3 , 13) is (x1 , y1) and (4 , -1) is (x2 , y2)

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (-1 - 13)/(4 - -3)

∴ m = (-14)/7 = -2

- Lets write the form of the equation

∵ y = mx + c ⇒ substitute the value of m

∴ y = -2x + c

- To find the value of c use one of the two points to substitute the

  values of x and y in the equation

∵ The line passes through (4 , -1)

∴ -1 = -2(4) + c

∴ -1 = -8 + c ⇒ add 8 to both sides

∴ -1 + 8 = -8 + 8 + c

∴ 7 = c

∴ y = -2x + 7

* The equation of the line is y = -2x + 7

Answer:

Every line on the net has a measurement of 16.

Step-by-step explanation:

Every edge dimension of the cube has a measurement of 16, so the corresponding edges of the net (all edges) will have a measurement of 16. Put the number 16 next to each line on the net.