(4 to the 4th power)to the 3rd power​

Answer: x2+3x−4

Step-by-step explanation: there is no like terms

Answer:

5x-4: x2+3x-4

2x+3x-4

5x-4

Answer:

False

Step-by-step explanation:

Brainliest please?

The maximum volume of the cylinder is approximately 1257 cubic centimeters.

The volume V of a right circular cylinder with radius r and height h is given by:

V = πr²h

Substituting the given expressions for the radius and height of the cylinder, we get:

V = πx²(800/πx - x)

Simplifying the expression, we get:

V = 800x - πx³

To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

dV/dx = 800 - 3πx² = 0

3πx² = 800

x² = 800/3π

x ≈ 6.43

Substituting this value of x back into the expression for V, we get:

V ≈ 1257

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The solution of the equation -x² + 4 = x + 2 is at x = -2 and x = 1

An equation is an expression that shows how numbers and variables are related to each other.

Given the quadratic equation:

-x² + 4 = x + 2

Collecting like terms:

x² + x - 2 = 0

Plotting using a graph; the solution of the equation can be gotten by getting the point the graph crosses the x axis.

The solution is at x = -2 and x = 1

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Answer:

The claim has no evidence to be supported.

On the contrary, there is enough evidence to support the claim that less than 25% of gamers prefer consoles.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The sample has a size n=503.

The sample proportion is p=0.211.

p=X/n=106/503=0.211

The sample proportion is less than 25%, so we will test the claim that less than 25% of gamers prefer consoles.  

Then, the null and alternative hypothesis are:

\(H_0: \pi=0.25\\\\H_a:\pi<0.25\)

The significance level is assumed to be 0.05.

The standard error of the proportion is:

\(\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.25*0.75}{503}}\\\\\\ \sigma_p=\sqrt{0.000373}=0.019\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.211-0.25+0.5/503}{0.019}=\dfrac{-0.038}{0.019}=-1.9685\)

This test is a left-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=P(z<-1.9685)=0.0245\)

As the P-value (0.0245) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that less than 25% of gamers prefer consoles.

1) 1

When x = 2, y = 1.

2) 1

As x approaches 2 from the left, y approaches 1.

3) 3

As x approaches 2 from the right, y approaches 3.

4) Does not exist

Since the two one-sided limits are not equal, the overall limit doesn't exist.

Answer:-39

Step-by-step explanation:

The first thing is to open the bracket.

By doing that, the question becomes -37-2.

note that plus×minus=minus.

Hence,-39 as the final answer

The required equation for number of miles and years for the car is given as; y = 19000x + 41000

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The parameters are;

Suppose the year 2020 represents x = 0.

The distance travelled per year can be taken as the slope of the linear  equation. Thus, slope = 19000.

And, the distance travelled by January 1, 2020 is 41000.

This tells us that for x = 0, y = 41000.

The linear equation in slope intercept form is given as;

y = mx + c

where;

m is slope

c is y-intercept

Substitute the corresponding values in the above equation to obtain,

y = 19000x + c

At x = 0, y = 41000

41000 = (19000 × 0) + c

c = 41000

Now, the equation can be written as,

y = 19000x + 41000

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Answer:

1/8 ^ 1/3 =

1/2 or 0.5

Answer:

\( \dfrac{1}{2} \)

Step-by-step explanation:

\( (\dfrac{1}{8})^\frac{1}{3} = \sqrt[3]{\dfrac{1}{8}} = \dfrac{\sqrt[3]{1}}{\sqrt[3]{8}} = \dfrac{1}{2} \)

Answer:

1.27

Step-by-step explanation:

Answer:

y = - \(\frac{3}{2}\) x + 12

Step-by-step explanation:

y = \(\frac{2}{3}\) x - 4

(6, 3)

y - 3 = - \(\frac{3}{2}\) (x - 6)

y = - \(\frac{3}{2}\) x + 12

Answer:

y=9

Step-by-step explanation:

54+5y=11y

54=11y-5y

6y=54

y=54/6

y=9

Answer:

y = 9

Step-by-step explanation:

Well first things first. We have to get our variables on one side so we can set up the equation like this 54 + 5y - 5y = 11y - 5y.

After you do that you will be left with 54 = 6y, so now you can solve.

In order to solve we have to see if we have to undo any addition or subtraction. We don't, so we can look to see if we have to undo multiplication or division, we do. We can set up are new equation like this:

54/6 = 6y/6.

After you solve that you get 9 = y and that is how you get your answer.

y = 9

The point of intersection of the two lines is (109/19, 61/19).

What is Linear equation ?

Linear equation can be defined as equation in which highest degree is one.

To determine the point of intersection of the following pairs of lines:

2x - 3y - 4 = 13

5x = -2y + 25

We need to find the values of x and y that satisfy both equations simultaneously. We can solve for one variable in terms of the other in one of the equations and substitute it into the other equation. Let's solve for y in the first equation:

2x - 3y - 4 = 13

-3y = 13 - 2x + 4

-3y = 17 - 2x

y = (2/3)x - (17/3)

Now we can substitute this expression for y into the second equation:

5x = -2y + 25

5x = -2((2/3)x - (17/3)) + 25

5x = (-4/3)x + 34/3 + 25

5x = (-4/3)x + 109/3

(19/3)x = 109/3

x = 109/3 * 3/19

x = 109/19

Now that we know x, we can substitute it back into either equation to find y. Let's use the equation we found for y earlier:

y = (2/3)x - (17/3)

y = (2/3)(109/19) - (17/3)

y = 61/19

Therefore, the point of intersection of the two lines is (109/19, 61/19).

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The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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The perimeter and area of the given composite shape are respectively;  10a² + 10b and 37a²b

The perimeter of the composite figure here will simply be the sum of the entire boundary lengths and as such we have;'

Perimeter = 2(a² + 3a² + a²) + 2(4b) + b + b

= 10a² + 8b + 2b

= 10a² + 10b

The area of a rectangle is;

Area = Length * width.

Thus;

Area of composite shape = Overall area of rectangle - Area of cut out rectangle

Area = (10a² * 4b) - (3a² * b)

Area = 40a²b - 3a²b

Area = 37a²b

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The percentage of the employees at the water slides are temporary​ is 88%

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.

To find the percentage of the employees that are temporary

66/75 x 100/1

=88%

Hence, 88% is the percentage of the employees at the water slides are temporary​

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The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .

A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.

The following characteristics define a basic parabola:

Thus, from the given graph the value are obtained as:

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The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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Answer:

12 divided by 1/2 = 12x2 = 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Multiplying by the reciprocal is the same as dividing a fraction.

A reciprocal is a fraction, just flipped.

So:

12*2

The answer is 24

Answer:

it is 74389

Step-by-step explanation:

you do 74 + 094904

Answer:

1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)

2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

Step-by-step explanation:

Problem 1

\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)

Problem 2

\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)

Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)

Answer:

There is a total of 180 employees.

Step-by-step explanation:

men : women

  7    :       5

5 units = 75

   1 unit = 15

12 units = 180

the area of the given fig will be (12 × 7) +(12 × 7)

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

a floor covered with white tiles and gray tiles.

the area of the given figure will be

(12 × 7)  and another (12 × 7)

So the total area will be (12 × 7) +(12 × 7)

Hence the area of the given fig will be (12 × 7) +(12 × 7)

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The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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Two-and-four-fifths is less than three-and-one-half.

The correct option is B.

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.

For example, 5/10 is a fraction.

Here, 5 is a numerator and 10 is a denominator.

Comparing two-and-four-fifths and three-and-one-half.

two-and-four-fifths = \(2\frac{4}{5}\)

three-and-one-half = \(3\frac{1}{2}\)

Changing them from mixed fractions to improper fractions

\(2\frac{4}{5} = \frac{14}{5} \\\\3\frac{1}{2} = \frac{7}{2}\)

We can deduce that \(\frac{14}{5}\) < \(\frac{7}{2}\)

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Answer:

1897612903782531117or9×

Answer: Multiply n299 by n by adding the exponents

Step-by-step explanation:

8n230+15=0

Answer:

8 hours

Step-by-step explanation:

The equation is 2.25X + 3.50 = 21.50

X represents the unknown amount of hours she worked. 2.25 is the cost per hour. 3.50 is the fee she charges for every gig. That fee only happens once a gig so naturally it wasn't the number x was placed with.

2.25X + 3.50 = 21.50

2.25X + 3.50 - 3.50 = 21.50 - 3.50

2.25X = 18

2.25X = 18

2.25 2.25

X = 8

Answer:

Извиииииииинннннниииии пожалуйста

If a company has issued 8% debentures of INR 10 each at a 10% discount repayable after 10 years. then the cost of capital or pretax cost of debt is 8%.

A bond or other sort of financial instrument that is secured by collateral is referred to as a debenture. Debentures must rely on the issuer's trustworthiness and reputation for support because they lack a collateral backstop. Debentures are commonly issued by both businesses and governments to raise cash or money. The interest paid on these security can be termed as cost of Debt or pretax cost of Debt.

The pretax cost of debt is interest paid on debenture security without giving effect of corporate tax on the rate of interest to be yearly or as per terms and conditions attached to it.

When debt security issued on discount then the loss on issue of these debenture instrument shall also be form part of cost of security or cost of capital.

Thus the year one pretax cost of  Debt capital will be Rs. 1 per debenture and 8% cost of debt.  

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