What is the square root of -1?
N
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1

Answer:

The sequence is an arithmetic sequence.

Common difference = 0.6

Step-by-step explanation:

Given

-2.8, -2.2, -1.6, -1.0

Required

State if it's an arithmetic progression

Also state its common difference

To know if a sequence is arithmetic or not, we simply check for common difference

Common difference is calculated by subtracting a lower term with its immediate higher time;

In other words

[tex]Common difference = T_2 - T_1 = T_3 - T_2 = T_4 - T_3 = ......[/tex]

Where T represent Term and the number represent their positions;

So, from the given above

[tex]T_1 = -2.8\\T_2 = -2.2\\T_3 = -1.6\\T_4 = -1.0[/tex]

Calculating [tex]T_2 - T_1[/tex]

[tex]T2 - T1 = -2.2 - (-2.8)\\T2 - T1 = -2.2 + 2.8\\T2 - T1 = 0.6\\[/tex]

Calculating [tex]T_3 - T_2[/tex]

[tex]T_3 - T_2 = -1.6 - (-2.2)\\T_3 - T_2 = -1.6 + 2.2\\T_3 - T_2 = 0.6[/tex]

Calculating [tex]T_4 - T_3[/tex]

[tex]T_4 - T_3 = -1.0 - (-1.6)\\T_4 - T_3 = -1.0 + 1.6\\T_4 - T_3 = 0.6[/tex]

Notice that all the above workings gave the same result;

This shows that the sequence is an arithmetic sequence.

The result of each workings above is the common difference

Common difference = 0.6

Answer:

Number 2 obtuse

Step-by-step explanation:

Answer:

∠COB is obtuse angle

Explanation:

I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.

We can clearly see, just by looking at the image. ∠COB is an obtuse angle

Answer:

16.50 dollars

Step-by-step explanation:

We can use proportion

8 euros --- 11 dollars

12 euros --- x dollars

x = 12 * 11/8 = 16.5= 16.50 dollars

Answer:

16.5 dollars

Step-by-step explanation:

Let's make a proportion using the following setup.

dollars/euros=dollars/euros

Tommy can get 11 dollars for 8 euros.  We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.

11 dollars/8 euros=x dollars/12 euros

11/8=x/12

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.

12*(11/8)=(x/12)*12

12*11/8=x

12*1.375=x

16.5=x

Tommy can get $16.50 with 12 euros.

Answer:

See the explanation

Step-by-step explanation:

The given function is:

f(x) = 5ˣ

Transformation of a parent function is given by the formula:

g(x) = k · f(x + a) + b

Where

k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1

f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0

f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0

In the question it is given:

k = 1/2

Shifts right by 3 units ⇒ a = -3

Shift up by 2 units ⇒ b = 2

Substitute in the formula:

g(x) = (1/2) · f(x - 3) + 2

[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]

Answer:

The length of the radius is 3cm.

Step-by-step explanation:

Given that a circle is inscribed in a square. The side of the circle touches the side of the square which is the diameter. So the diameter of circle is 6cm, in order to find it's radius, you have to duvide it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 6 \div 2[/tex]

[tex]radius = 3cm[/tex]

Answer:

[tex]6^{2} - 3^{2} \pi[/tex] = area of the black  7.725666

[tex]x^{2} - r^{2} \pi[/tex]

area of square - area of circle

the diameter of the circle is 6 and half that is the radius = 3

Answer:

30 days

Step-by-step explanation:

There are 6 * 7 = 42 days in 6 weeks.

There are 2 * 6 = 12 weekends in 6 weeks.

42 - 12 = 30

Answer:

30 days

Step-by-step explanation:

Answer:

y=7/10+3/10

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

1/4 on my calculator

The value of log 5 to the base 625 is 1/4 .

From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,

∴ log a to the base b = x

⇒ [tex]a = b^{x}[/tex]

Thus we can take log 5 to the base 625 = x

∴ [tex]5 = 625^{x}[/tex]

From the above equation, we can get the value of x as 1/4

Thus the value of log 5 to the base 625 is 1/4

To learn more about properties of logarithm, refer -

https://brainly.com/question/12049968

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Answer:

The true mean volume of p

aint in each can is greater than or equals to 400ml

Step-by-step explanation:

The symbol of μ represents the mean of a data.

Mean can be defined as the average value of a set of data

Let consider the question.

We know that

μ ≥ 400ml

Where the sign ≥ means "greater than or equals to"

Which means that μ is greater than or equals to 400ml

So the solution is:

1st blank = greater than

2nd blank = equals to

Answer:

-1 -60p

hope it helps

Step-by-step explanation:

6 (1-10p) -7

First solve 6(1-10p) using distributive property of subtraction

(6*1)-(6*10p) -7

= 6-60p -7

Add the constants of the equation

= (6-7) -60p

= -1 - 60p

Answer:

-60p-1

Step-by-step explanation:

Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p

So then the answer is -60p-1.

Answer:

The unknown number is 1.

Step-by-step explanation:

You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :

[tex]x \times 5[/tex]

[tex] = 5x[/tex]

Secondly, 5 is added to product and you will get 10 :

[tex]5x + 5 = 10[/tex]

Lastly, you have to solve :

[tex]5x + 5 = 10[/tex]

[tex]5x = 10 - 5[/tex]

[tex]5x = 5[/tex]

[tex]x = 5 \div 5[/tex]

[tex]x = 1[/tex]

Answer:

2

Step-by-step explanation:

if you divide

10 by 5

you get two

Answer:

(-4, 2)

Step-by-step explanation:

By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.

Answer:

7/20

Step-by-step explanation:

#red cards/total # of cards

7/(7+13)

7/20

Answer:

7/20

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

Just move the decimal 2 spaces to the right .03 becomes 3% :)

Answer:

Part A -  0.90(x + y) = 90 Part B - Pencils

Answer:

D i think

Step-by-step explanation:

Answer:

I don't know the answer, but I just took a test and the answers ARE NOT 456.3 and ARE ALSO NOT 474.6

Step-by-step explanation:

The distance between the two lakes = 633.9 ft. So, we take the 4th option.

By the law of cosines, a triangle with sides a, b, and c, and the angle opposite to c being γ,

c = √(a² + b² - 2.a.b.cos γ)

To solve the question, we will use the law of cosines.

Let a = 560 ft., b = 350 ft., c = d (unknown distance).

γ = 160° - 75° = 85°.

We substitute the values in the formula to get,

d = √(560² + 350² - 2(560)(350)(cos 85°)

or, d = √(313600 + 122500 - 392000*0.0871)

or, d = √(436100 - 34165.05116)

or, d = √401934.948842

or, d = 633.983397

So, we take d = 633.9 ft., the 4th option.

∴ The distance between the two lakes = 633.9 ft.

Learn more about the law of cosines at

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Answer:

a) 2/5 x 900 = 360 hectares

b) 3/5th

c) 3/5 x 900 = 540

540 - 360 = 180

Farmer Richards needs to bring another 180 hectares under cultivation.

Answer:

f(t) = $67000(.30)^t          (Must use " ^ " to indicate exponentiation)

Step-by-step explanation:

This is an exponential function:

f(t) = $67000(.30)^t  (Must use " ^ " to indicate exponentiation)

Answer:

The elevation is a nonlinear function.

Step-by-step explanation:

Answer:

It's (B) The elevation is a nonlinear function.

Step-by-step explanation:

Work Shown:

sec(80) = 1/cos(80) = 5.75877048314363 which rounds to 5.76

Make sure your calculator is in degree mode.

Answer:

it is C. An = 2(2)^n

Step-by-step explanation:

Answer:it is C. An = 2(2)^n

Step-by-step explanation:

Answer:

There is no explanation so I guess 1 to 1?

Step-by-step explanation:

This Is A Linear Graph Because Quadratic Graphs Are Curved

Answer:

4) 8^14

7) h^7

10) 29^8 over 10^8

Step-by-step explanation:

If the numbers have the same base, just add their exponents together. So 10 plus 4 is 14.

Same thing for the second problem, since you have the same base, just add the exponents together. 6 plus 1 is 7

The bases are the same so just add the exponents, 7 plus one is 8.

(-2.9)^8

Convert it into a fraction: -(29/10)^8

Raise the fraction to the power (8) and the numerator and denominator to that power: 29^8/10^8

Hope this helps :)

8¹⁴

Step-by-step explanation:

4.) 8¹⁰×8⁴

=8 to the power (10+4)

=8¹⁴

7.) h⁶xh¹

=h to the power (6+1)

=h^7

10.) (-2.9)^1×(-2.9)^7

=(-2.9)^7+1

=(-2.9)^8

Answer:

b

Step-by-step explanation:

4 1/2 times 2 3/4 does not equals to 11 11/48.

It actually equals to 12 3/8

hope it helps

Good luck on your assignment

Answer:

The correct answer is

[tex] = 12 \frac{2}{8} \\ = 12 \frac{1}{4} \\ [/tex]

Step-by-step explanation:

[tex]4 \frac{1}{2} \times 2 \frac{3}{4} \\ \frac{9}{2} \times \frac{11}{4} \\ = \frac{99}{8} \\ = 12 \frac{2}{8} \\ = 12 \frac{1}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

B. 3(2^x)

Step-by-step explanation:

3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.