Find the common difference of the arithmetic sequence shown.1/4, 3/8, 1/2

1. 1/16
2. 1/8
3. 1/4

Answers

Answer 1
Answer: Answer: 2. 1/8

1/4+1/8=3/8
3/8+1/8=4/8=1/2

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What is the perimeter of a tennis court 78ft long and 27ft wide?
1.What is the simplified form of each expression?7x^–8 × 6x^3 a. 42/x^5 b. 1/42x^5 c. 42x^11 d. 13x^–5 (–2x8) · 3y9 · 2x4 a. 3x^12y^9 b. –12x^72y^9 c. –12xy^21 d. –12x^y^9 2. Find the simplified form of the expression. Give your answer in scientific notation. (8 x 10^7) (7 x 10^4) a. 1.5 × 10^12 b. 5.6 × 10^12 c. 1.5 x 10^29 d. 5.6 x 10^29 (7 × 10^–4)(9 × 10^–10) a. 6.3 × 10^–13 b. 63 × 10^–13 c. 6.3 × 10^–15 d. 6.3 × 10^–16
If x, y, and z are integers greater than 1, and (327)(510)(z) = (58)(914)(xy), then what is the value of x? (1) y is prime (2) x is prime
f the probability of being hospitalized during a year is 0.25 ​, find the probability that no one in a family of five will be hospitalized in a year.
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Whic of these is an irrational number A.0 B1.9 C.? D.1/2

Answers

Irrational numbers are real numbers that can't be expressed as ratio integers. It cannot be written as a simple fraction. 

If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero?A. P
B. Q
C. R
D. S
E. T

Answers

P,Q,R can't be 0, because their product is nonzero. Either of S and T could be 0, but the third one only works if S is 0.

How much wood would a wood chuck chuck

Answers

Answer:

About 700 pounds

Step-by-step explanation:

According to Researchers from Cornell, they have determined that a wood chuck could chuck about 700 pounds of wood.

This was very interesting to know.

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.” What is the inverse of the original conditional statement?

A. If a figure is a polygon, then the sum of the exterior angles is 360°.

B. If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.

C. If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.

D. If a figure is not a polygon, then the sum of the exterior angles is not 360°.

Answers

Answer:

The correct option is D.

Step-by-step explanation:

Converse statement : If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.

Now, to form a converse statement, the conclusion becomes the hypothesis and the hypothesis becomes the conclusion.

So, to form the original statement of the given converse statement : Hypothesis will become conclusion and the conclusion becomes our hypothesis.

Original Statement : The figure is a polygon if the sum of the exterior angles of a figure is 360°.

Now to form the inverse we need the negation of both hypothesis and the conclusion.

Hence, The inverse of the original statement is : If a figure is not a polygon, then the sum of the exterior angles is not 360°.

Therefore, The correct option is D.

The answer is D because the statement is saying it's not a polygon if the sum of the exterior angles is not 360 which is the opposite of the statement

There are ten bird baths in a park. On the first day of​ spring, the bird baths are filled. Several weeks​ later, the overall change in the water level is found. The results are shown in the table. What is the range of the​ data?2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6

Answers

The range of the data is 4.2

what is range of the data?

The range in statistics for a given data set is the difference between the highest and lowest values.

Given:

2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6

Arranging the data in some order

-1.6 , -1.5, -0.6, 0.3, 0.4,  0.6, 1.9, 2.2, 2.5, 2.6

So, range

=highest data - lowest data

=2.6 - (-1.6)

=2.6+1.6

=4.2

Hence, the range is 4.2.

Learn more about range here:

brainly.com/question/28135761

#SPJ2

Answer:

The range is -4.2

Step-by-step explanation:

Least to Greatest:

-1.6

-1.5

-0.6

0.3

0.4

0.6

1.9

2.2

2.5

2.6

Subtract Least Number from Greatest Number

-1.6 - 2.6

=-4.2

The Johnsons own a home whose market value is $93,000. Their municipality taxes at 80% and the rate is 65 mills or $65 per thousand. What will the Johnsons pay in taxes?

Answers

Answer: He paid $ 4836 in taxes.

Step-by-step explanation:

Here, the total value of the house = $ 93,000

And, the amount on which municipal taxes imposed = 80% of the value of house

= 80% of 93000

=  0.8 × 93000

= $ 74,400

Now, the tax rate is $65 per thousand,

\text{The amount of tax for 1000 dollars }= \$ 65,

\text{The amount of tax for 1 dollar}=(65)/(1000)

⇒  \text{The amount of tax for 74400 dollars}=(74400* 65)/(1000)

=(4836000)/(1000)

=\$ 4836

Thus, he paid $ 4836 in taxes.

Answer:

6760

Step-by-step explanation:

80% x 93000 = 74400

74.4 x 65 = 6760