Complete the tables of values.
5)
44
-1
- 1
4
O
d
0
d
2
b
2.
*
4
('
4.
d
b =
d at

Answer:

68,359,375. Using a calculator, you can multiply each new number by 5.

11th term of the given geometric sequence is \(a_{n}= 7(5^{n-1})\)

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

Given geometric sequence = 7,35,175,..

Nth term of the geometric sequence \(a_{n}=a_{1}.r^{n-1}\)

\(a_{1}=7\)

\(r=\frac{35}{7}=5\)

Nth term of the geometric sequence

\(a_{n}= 7(5^{n-1})\)

Hence, the Nth term of the given geometric sequence is  \(a_{n}= 7(5^{n-1})\)

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The girl which is correct between kate and her friend Margo is Margo.

The correct answer option is option B

If each friend gets the same number of pens;

Number of pens each friend get = Number of pens Kate has / Number of Kate's friends

= 63 / 9

= 7

Check:

Number of pens each friend get × Number of Kate's friends = Number of pens Kate has

7 × 9 = 63

Therefore, Kate's friend, Margo is correct.

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2y

Step-by-step explanation:

16y^5-3/4)

16y²/4)

4y²)1/2

2y

The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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Answer:

18n + 9

Step-by-step explanation:

Distribute 9 into the expression.

9*2n = 18n

9*1 = 9

18n + 9

Answer:

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

There are various combinations of coins.

In total there are:

Answer:

Step-by-step explanation:

Answer:

4 pounds of lime and 5 pounds of pears

Step-by-step explanation:

I + P = 9

0.5l + 1.5P = 9.5

I = 9 - P

0.5(9 - P) + 1.5P = 9.5

4.5-0.5P + 1.5P = 9.5

4.5 + P (1P) = 9.5

P = 9.5-4.5 = 5

I = 9 - 5 = 4

Answer: 4 pounds of lime and 5 pounds of pears

The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

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It took approximately 151 seconds to decrease 9 ft water in conical tank.

The volume of a conical tank with vertex down and radius 8 ft and height 20 ft is V = (1/3)πr²h

When the water is 9 ft deep

= (1/3) ×3.14×(8)²×(9)

= 602.88 ft³

We know that the rate of change of volume is 4 ft³/sec. So, the rate of change of depth can be calculated as follows:

Rate of change of depth (dh/dt) = Volume of tank/4 ft³ per sec

= 602.88/4

= 150.72 sec

Therefore, it took approximately 151 seconds to decrease 9 ft water in conical tank.

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Answer:

26

Step-by-step explanation:

20 inches minus 6 inches plus 12

20-6=14

14+12= 26

Answer:

26

Step-by-step explanation:

20-6=14

14+12=26

Answer:

515

Step-by-step explanation:

Answer:

511

Step-by-step explanation:

ur mom

The age of Lance and Chad are 7 years and 20 years respectively.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let age of Lance's is  = L

Age of Chad's = C

Given that The sum of Lance's and Chad's ages is 27 years. Chad is 6 years younger than twice Lance's age.

The system of equations that represents this situation is;

L + c = 27

C - 6 = 2L

2L - c = -6------ (1)

Therefore,

⇒ ( 2L - c ) + (L + c) = 21

⇒ 3L = 21------- (2)

L = 7

C = 20

Therefore the age of each person;

7 years and 20 years

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Answer:

B

Step-by-step explanation:

The correct answer is B. The total number of people on the field trip must be a multiple of 9 (1 adult and 8 students).

A is not true because if there were only 9 people, there could not be both an adult and 8 students, and the ratio would not be 1:8.

C is not necessarily true. It is possible that there were more adults than students on the field trip, or that the ratio was not an exact 1:8.

D is not true because if there were 8 times as many students as adults, the ratio would be 1:64, not 1:8

Answer:

~ 84 cm of the pop in the poster ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

      7          =              1      ⇒   x - centimeters of the pop in the poster

      x                         12

2. Now let us cross multiply, and solve through simple algebra for x:

7 * 12 = x,

x = 84 centimeters of the pop in the poster

Answer:

1.- 4/5 + 5/12= 1  and 13/60

2.- 5/6 + 6/12= 1 and 1/3

3.- 1/3 + 2/6= 2/3

4.- 7/8 + 8/10=  1 and 27/40

Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Answer:

B and C

Step-by-step explanation:

A, when x = 0, y = 5

B, when x = 4, y = 3

C, when x = 12, y = -1

D, when x = 1, y = 9/2

x = 24, y = 120

if you disagree tell me, I just substituted values.

Step-by-step explanation:

10. (6x - 7)° + (3x - 29)° = 180°

i.e they are co-interior angles:

6x + 3x - 7 - 29 = 180°

9x - 36° = 180°

9x = 216°

x = 24.

(6x - 7)° = (8y + 17)°

i.e they are vertically opposite angles;

but x = 24.

6(24) - 7 = 8y + 17

144 - 7 = 8y + 17

120 = 8y

y = 15

11. (9x + 25)° = (13x - 19)°

i.e they are corresponding angles;

25 + 19 = 13x - 9x

44 = 4x

x = 11

(13x - 19)° + (17y + 5)° = 180°

i.e they are adjacent angles;

but x = 11

13(11) - 19 +5 + 17y = 180

17y = 180 - 129

17y = 51

y = 3

Answer:

3 days, 7 hours, 3.7 decimal days

Step-by-step explanation:

Answer:

1 one

Step-by-step explanation:

just because

The number of words Gillan can read in 1 minute is,  165

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Gillan read 3,135 words in 19 minutes

The number of words read each minute = w

Now, it has given,

Total words = 3135

Time taken = 19 minutes

For words per minute,

we need to take ratio of total words and total time taken,

Ratio =  Total words/Time taken

         =   3135/19

         =   165

Hence, the number of words in 1 minute is 165

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Answer:

I think it's 27

because length is 3 times its width

The time taken to reaches its maximum height is 3s.

In the question,

It is given that,

Height, h(t) = \(96t - 16t^{2}\)

The maximum value of the function is obtained if the first derivative of the function h (t) = 0.

\(\frac{dh(t)}{dt} = 96 - 32t = 0\)

⇒ \(t = 3\)

So, time taken to reach its max height is 3 seconds.

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We can say that the two triangles are identical, then, the angle GPK is equal to the angle KPH, then we write the following equation:

Now we know the value of x, we can return to the equation and find the value of the angle GPK

Therefore, the measure of the angle GPK is equal to 50 degrees

Answer: B.) 43

I just did it on usatestprep and I got 43

Step-by-step explanation:

The solution is Option B.

The time it took for Diane to complete her route on Thursday is given by the equation T = 43 minutes

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the data be represented as M = 46 minutes

The time it took for Diane to complete her route on Thursday be T

Now , the total time for all the 7 days be represented as S

And , the value of S is

S = 58 + 39 + 42 + 46 + T + 49 + 45

S = 279 + T

Substituting the values in the equation , we get

Mean = Sum of Values / Number of Values

46 = ( 279 + T ) / 7

Multiply by 7 on both sides of the equation , we get

322 = 279 + T

Subtracting 279 on both sides of the equation , we get

T = 322 - 279

T = 43 minutes

Hence , the value of T is 43 minutes

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Answer: We need to know the dimensions of the shipping box to determine how many ring boxes can fit inside.

Assuming that the shipping box is a cube with edge length of 1 meter (which is a common size for shipping boxes), we can find the number of ring boxes that can fit inside as follows:

The volume of the shipping box is (1 m)^3 = 1 m^3.

The volume of each ring box is (0.032 m)^3 = 3.2768 x 10^-5 m^3.

To find the number of ring boxes that can fit inside the shipping box, we can divide the volume of the shipping box by the volume of each ring box:

1 m^3 / 3.2768 x 10^-5 m^3 ≈ 30,517.57

Therefore, Mr. Baldwin can ship approximately 30,517 ring boxes inside the shipping box, if he completely fills it.

Step-by-step explanation: