Solve the problem. In the given image

Answer:

i

Step-by-step explanation:

Why is i the square root of negative one?

The term "imaginary" is used because there is no real number having a negative square. There are two complex square roots of −1, namely i and −i, just as there are two complex square roots of every real number other than zero, which has one double square root.

9514 1404 393

Answer:

  (a) 11·10^21

Step-by-step explanation:

"Scientific notation" has a mantissa that has one digit to the left of the decimal point. The number 11·10^21 has two digits to the left of the decimal point, so is not in the form required by scientific notation.

  11·10^21 is not in scientific notation

_____

It would be correctly written in scientific notation as as 1.1·10^22.

Answer:

A) 11 ⋅ 10^21

Step-by-step explanation:

Step:1

          From given, the rate is

                          = 15 miles per gallon

                          = \frac{15}{1}115 = 15 miles.........................(1)

Step:2

         Check for Option A,

                           = 30 miles per 3 gallons

                           = \frac{30}{3}330 = 10 miles.....................(2)

         From the eqn (1) and (2),

                                 Eqn (1) ≠ Eqn (2)

Step:3

           Check for Option B and C are not match with given because, Miles provided first or top then the gallons provided the last or bottom.

Step:4

         Check for Option  D,

                           = 60 miles per 4 gallons

                           = \frac{60}{4}460 = 15 miles.........................(3)

           From the eqn (1) and (3),

                              Eqn (1) ≠ Eqn (3)

Result:

         The equivalent unit rate for 15 miles per gallon is 60 miles per 4 gallons (\frac{60 miles}{4 gallons}4gallons60miles ) .

B:  Weekly number of basic clocks to assemble,

≈ 201

F: Weekly number of fancy clocks to assemble,

= 112

Decision variables are the company's profit optimization problem.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A company assembles and packages clocks.

The basic model requires 30 minutes to assemble and 20 minutes to package,

while the fancy model requires one hour to assemble and 30 minutes to package.

There are 30 hours available per week to assemble the clocks, and 12 hours per week available to package the clocks.

Each basic clock yields a $2.50 profit, and each fancy clock yields a $4 profit.

B:  Weekly number of basic clocks to assemble,

= (7 x 24 x 60) ÷ 50

= 201.6

≈ 201

F: Weekly number of fancy clocks to assemble,

= (7 x 24 x 60) ÷ 90

= 112

Decision variables are the company's profit optimization problem.

Therefore, all the required values are given above.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ1

Answer:

Improvements in which area would help reduce the possibility of damage to the environment when using uranium as a fuel?

A.) more-efficient extraction techniques

Step-by-step explanation:

To curb these detrimental effects, it is required to provide more-efficient extraction techniques when using uranium as a fuel.

Environmental pollutants are substances released into the natural environment that cause negative effects, such as damaging health or inflicting various sorts of damage.

Uranium mining has far-reaching consequences, polluting the environment with radioactive particles, radon gas, water-borne pollutants, and higher concentrations of radiation levels.

To curb these detrimental effects and to improve the possibility of damage caused to the environment, it is required to provide more-efficient extraction techniques when using uranium as a fuel.

Learn more about environmental pollutants here:
https://brainly.com/question/9420026

#SPJ2

The y-intercept is where the graph crosses the y-axis and is not necessarily where the maximum is. For instance, consider the graph of \(y=x^2 +2x+4\).

You will be able to withdraw $3,548.50 per month for 20 years if you have $400,000 saved for retirement and earn 10% interest.

To calculate the monthly withdrawals for a given time period, we can use the present value annuity formula. This formula allows us to calculate the fixed monthly withdrawal amount needed to deplete a given initial amount (in this case, $400,000) over a specified time period (20 years) at a given interest rate (10%).

The formula for present value annuity is:

PMT = PV * r / (1 - (1 + r)⁻ⁿ)

Where:

PMT = the fixed monthly withdrawal amount

PV = the present value of the initial investment ($400,000)

r = the interest rate per month (10%/12 = 0.00833)

n = the total number of monthly withdrawals (20 years * 12 months per year = 240)

Plugging in the values, we get:

PMT = 400,000 * 0.00833 / (1 - (1 + 0.00833)⁻²⁴⁰) = $3,548.50 (rounded to the nearest cent)

To learn more about withdrawals click on,

https://brainly.com/question/28098166

#SPJ1

The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.

This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).

In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.

Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

To learn more about Probability from given link.

https://brainly.com/question/30034780

#SPJ1

Answer:

i beilive it is 1/1

Step-by-step explanation:

Answer:

andrew gets 15 dollars a hour

and andr

\(-5x+10>-15\\\\\implies -5x> -10 -15\\\\\implies -5x > -25\\\\\implies x< 5\\\\\text{Interval,} ~(-\infty,5)\)

Answer:

add the options, then we'll talk

Step-by-step explanation:

The mystery divisor to the question based on the information given is 18.

Dividing the first dividend 4 by the unknown divisor x and getting the first number 2 in the quotient and when the quotient 2 is multiplied by the divisor gives 36, so definitely, 4 cannot be used

Using 40 as the dividend, 40 divided by the divisor x gives 2 as the first quotient. And the first quotient 2 multiplied by the divisor x gives 36.

And to interpret this, 2x=36

Dividing through by 2x=36

x = 36/2

x = 18

So, the divisor is 18

Read more about Division on:

https://brainly.com/question/28119824

#SPJ1

Answer:

D

Step-by-step explanation:

right 6 units , B is 3,6 which is right 6 units from point f

Answer:

you

point

stealer.com

Step-by-step explanation:

Answer: 12-feet would be left out of the 20-foot spool yarn.

Step-by-step explanation: Brainliest is helpful :)

Answer and explanation:

We add both equations to get a simultaneous equation

y+4z=16

2y+5z=32

We solve the equations using elimination method:

Multiply equation 1 by 5 and equation 2 by 4 to cancel out z

5y+20z=80

8y+20z=160

-3y=-80

Y=26.7

Substitute y=26.7 in equation 1

26.7+4z=16

4z=16-26.7

z= -2.67

y+z=26.7+(-2.67)= 24.03

Answer:

B. 13 small bags and 12 large bags

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of small bags.

y is the number of large bags.

The Tuesday morning delivery consists of 25 bags

This means that \(x + y = 25\), that is \(y = 25 - x\)

Bunyan Farm sells 3 pound and 5 pound bags of onions. Total of 99 pounds.

This means that \(3x + 5y = 99\)

Since \(y = 25 - x\)

\(3x + 5(25 - x) = 99\)

\(3x + 125 - 5x = 99\)

\(-2x = -26\)

\(2x = 26\)

\(x = \frac{26}{2}\)

\(x = 13\)

\(y = 25 - x = 25 - 13 = 12\)

So 13 small bags and 12 large bags.

Answer:

86.60254

Step-by-step explanation:

30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)

Answer:

  -60%

Step-by-step explanation:

You want the percent rate of change when the value is described by the exponential function f(x) = 0.6(0.4^x).

The given function is of the form ...

  f(x) = a(b^x)

where 'a' is the initial value (when x=0), and 'b' is the growth factor.

The growth factor is related to the rate of change by ...

  growth factor = 1 + rate of change

Using the above function template, we see that ...

Then we have for the rate of change ...

  0.4 = 1 + rate of change

  rate of change = 0.4 -1 = -0.6 = -60%

The percent rate of change of the given function is -60%.

__

Additional comment

The negative sign tells you this is a decay function, and that the value is decaying at the rate of 60% per period.

The percent rate of change of the function f(x)=0.6(0.4)x is 40%

Exponential equation are inverse of logarithmic equation. The standard exponential equation is given as;

f(x) = ab^x

where

a is the base

b is the rate of change

Given the function below

f(x)=0.6(0.4)^x

Compare tp have

b = 0.4

Multiply by 100

b = 0.4 * 100

b = 40%

Hence the percent rate of change of the function f(x)=0.6(0.4)x is 40%

Learn more on percent rate here: https://brainly.com/question/27161222

#SPJ1

Answer:

x = -8 and x = 3

Step-by-step explanation:

Split the equation into 2 possible cases:

2x + 5 = 11

2x + 5 = -11

Then, solve these 2 equations.

2x + 5 = 11

2x = 6

x = 3

2x + 5 = -11

2x = -16

x = -8

So, the 2 solutions are x = -8 and x = 3

Yes, the solution is correct as x = 4

Algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients.

These expressions are also composed of operations, such as;

From the information given, we have that;

8 - √x = 10

collect the like terms

- √x = 10 - 8

subtract the values

- √x = 2

Then, we have;

√x = -2

Take the square root of both sides

x = (-2)²

x = 4

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Answer:  roughly 151.81788 square meters of metal

=====================================================

Explanation:

The base is a square with side lengths x, so its area is x*x = x^2

Let h be the height of the tank. We have four identical wall panels that have area of xh square meters. The four walls lead to a lateral surface area of 4xh. Overall, the entire tank requires x^2+4xh square meters of metal. We're ignoring the top since the tank is open.

-----------

Let's set up a volume equation and then isolate h.

volume = length*width*height

108 = x*x*h

108 = x^2*h

x^2*h = 108

h = 108/(x^2)

-----------

Plug that into the expression we found at the end of the first section.

x^2+4xh

x^2+4x(180/(x^2))

x^2+(720/x)

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

Depending on what class you're in, the next step here will vary. If you are in calculus, then use the derivative to determine that the local min happens at approximately (7.11379, 151.81788)

If you're not in calculus, then use your graphing calculator's "min" feature to locate the lowest point on the f(x) = x^2+(720/x) curve.

This lowest point tells us what x must be to make x^2+(720/x) to be as small as possible, where x > 0.

In this context, it means that if the square base has sides approximately 7.11379 meters, then you'll need roughly 151.81788 square meters of metal to form the open tank. This is the least amount of metal required to build such a tank, and that will have a volume of 108 cubic meters.

Answer:

The answer is C (2:1)

Step-by-step explanation:

1. The greatest common factor of 8 and 4, is 4. We need to divide both numbers by the GCM, 4.

8 / 4 = 2

4 / 4 = 1

Therefore, the answer is 2:1 (C)

Answer:

0

Step-by-step explanation:

x² + 26 = 0 ( subtract 26 from both sides )

x² = - 26 ( take square root of both sides )

x = ± \(\sqrt{-26}\)

\(\sqrt{-26}\) ← has no real solutions

Answer:

0

Step-by-step explanation:

Look above goofy, have a good day!

a meal can be chosen is 546 different ways.