Share $100 between two persons
A and B, giving a $10 more than B​

Step-by-step explanation:

if you did not make any typos, then the equation is

4x³ + 35 = 21

well, you know how that is with solving equations : let's bring all terms with variables on one side, and all constant terms to the other side.

so, as first step we eliminate the + 35 on the left side by subtracting 35 on both sides :

4x³ = 21 - 35 = -14

next, we eliminate the multiplication factor 4 by dividing both sides by 4 :

x³ = -14/4 = -3.5

and now we pull the cubic root

\(x = \sqrt[3]{ - 3.5} \)

x = -1.518294486...

in contrast to square roots it is not a problem for cubic roots to have negative arguments, because a negative number to the power of 3 is again negative.

-a³ = -a×-a×-a = a²×-a = -a³

Answer:

-\(-\sqrt[3]{\frac{7}{2}}\)

Step-by-step explanation:

\(4x^{3}+35=21\)

\(4x^{3}=21-35\)

\(4x^{3}=-14\)

\(x^{3}=-\frac{14}{4}\) → \(-\frac{7}{2}\)

\(x=-\sqrt[3]{\frac{7}{2}}\)

Answer: 3353

Let's solve this equation:

[(3)(3)+(4)(4)]2+[(8)(3)+(7)(4)]2+(2)(3)(4)

=(9+(4)(4))2+((8)(3)+(7)(4))2+(2)(3)(4)

=(9+16)2+((8)(3)+(7)(4))2+(2)(3)(4)

=252+((8)(3)+(7)(4))2+(2)(3)(4)

=625+((8)(3)+(7)(4))2+(2)(3)(4)

=625+(24+(7)(4))2+(2)(3)(4)

=625+(24+28)2+(2)(3)(4)

=625+522+(2)(3)(4)

=625+2704+(2)(3)(4)

=3329+(2)(3)(4)

=3329+(6)(4)

=3329+24

=3353

Hope this helps!!

Answer:

224

Step-by-step explanation:

30% + 20% = 50% = half price

if he pays 112 whick is half price you need to times it by 2 to get the full price

26$

Step-by-step explanation:

1% = 4/100 * 25

1% = 1

25 + 1 = 26

Another way to solve

Percentage increase = 100% + 4%

104/100 = 1.04

1.04 * 25 =26

Answer:

8 hours shift because you count from 7 am to 3pm

The total number of hours between the 7 am and 3 pm shift is 8 hours.

What is meant by the hour?

Depending on the speed of the Earth's rotation, an hour is a measure of time that is traditionally calculated as 1/24  of a day and scientifically estimated to last between 3,599 and 3,601 seconds. There are 24 hours in a day and 60 minutes in an hour.

The 24-hour day is divided into two sections, a.m. and p.m., according to the 12-hour clock time convention. Latin terminology for the hours of the day, AM and PM, are commonly employed. The abbreviations AM and PM stand for Ante meridiem and Post meridiem, respectively, which indicate before noon or midday and afternoon or midday. AM is used to denote the first 12-hour period, which runs from midnight to noon, and PM is used to denote the following 12-hour period, which runs from noon to midnight.

From 7 am to 12 pm, the number of hours = 5

From 12 pm to 3 pm, the number of hours = 3

Therefore the total number of hours between the 7 am and 3 pm shift is (3+5) = 8 hours.

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Answer:

Step-by-step explanation:

Step one:

Given data

Flowers to Go charges

let the number of roses be x

and the total cost be y

$2.5 for a rose

$9 for delivery

the total cost is

y=2.5x+9-------1

Blooms R Us charges

let the number of roses be x

and the total cost be y

$3.25 for a rose

$5 for delivery

the total cost is

y=3.25x+5--------2

Step two:

equating equations 1 and 2 we can solve for x, the number of flowers

2.5x+9=3.25x+5

2.5x-3.25x=5-9

-0.75x=-4

x=4/0.75

x=5.33

Therefore the minimum number of flowers is 5.33

Answer:

15

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

243 /81 =3

Rule is times 3

3 *3=9

9*3=27

27*3=81

81*3=243

Answer:

The answer is C

Step-by-step explanation:

Answer:

8xy im pretty sure

Step-by-step explanation:

The hypotenuse is the longer of the 3 sides:

answer: b.26

Answer:

\(\huge\boxed{\bf\: b. \: 26 \rightarrow hypotenuse }\)

Step-by-step explanation:

Consider a right angled triangle with sides as 10, 26 & 24 units.

Here, we need to find the hypotenuse of the triangle.

The hyptenuse is the side which is opposite to the right angle (90°) & is also the longest side of the triangle.

Then, among the given values, we can clearly say that 26 > 10, 24.

Therefore, \(\boxed{\bf\: 26 \: units }\) is the hypotenuse  of the triangle with side lengths as 10, 26, 24 units.

\(\rule{150pt}{2pt}\)

Answer:

x=5

y=-17

Step-by-step explanation:

basically what I did was:

1) I multiplied the first equation by 4 , solved for x

2) I used the value of x that i found and substituted in one of the equations to find y

Answer: x=0 y=2

..................

The continuity equation is satisfied and the flow is incompressible.

To check if the continuity equation is satisfied, we need to take the partial derivatives of the stream function with respect to x and y and see if they satisfy the continuity equation

Continuity equation: ∂u/∂x + ∂v/∂y = 0

where u and v are the x and y components of the velocity field, respectively.

From the definition of the stream function, we have

u = ∂Ψ/∂y = -2

v = -∂Ψ/∂x = -(-2) = 2

Taking the partial derivatives of u and v with respect to x and y, we have

∂u/∂x = 0, ∂v/∂y = 0

Substituting these values into the continuity equation, we get

∂u/∂x + ∂v/∂y = 0 + 0 = 0

Since the continuity equation is satisfied (resulted in zero), the flow is incompressible.

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The given question is incomplete, the complete question is:

The stream function for a two-dimensional, nonviscous, incompressible flow field is given by Psi = -2(x-y) where the stream function has the units of ft^2/s with x and y in feet. (a) Is the continuity equation satisfied?

The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:

∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2

Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:

φ(x,y) = 11x^3y^2 + 11x^2y^2 + C

where C is the constant of integration.

Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

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the answer

155

324

5/9 (87/3(1/12)= 155/324

Answer:

\(2^8* 5^{20}\)

Step-by-step explanation:

Apply rule: \((a^c * b^d)^e=a^{ce} * b^{de}\)

\(2^{-2* -4}*5^{-5*-4}\)

\(2^8* 5^{20}\)

\(2^8* 5^{20}= 24,414,062,500,000,000\)

The preparation of the stockholders' equity statement for the year ended December 31, 2021, is as follows:

Court Casuals

Statement of stockholers' equity

December 31, 2021

Common Stock                        $116,000

Additional Paid-in Capital  $5,326,000

Retained Earnings              $3,677,000

Treasury Stock                         $-2,000

Total stockholders' equity  $9,117,000

The stockholders' equity statement includes the common stock, additional paid-in capital, retained earnings, and the subtraction of the treasury stock.

Court Casuals

Stockholers' equity on January 1, 2021

Common Stock $90,000

Additional Paid-in Capital $4,100,000

Retained Earnings $3,000,000

Net income for the year, 2021, = $900,000

May 18: Cash $1,300,000 Common Stock $26,000 Additional Paid-in Capital $1,274,000 (26,000 x $50 - $26,000)

May 31: Treasury Stock $4,500 Additional Paid-in Capital $175,500 (4,500 x $40 - $4,500) Cash $180,000

Jul 1: Cash Dividend $223,000 (90,000 + 26,000 - 4,500) x $2 Dividends Payable $223,000

July 31: Dividends Payable $223,000 Cash $223,000

August 18: Cash $130,000 Treasury Stock $2,500 Additional Paid-in Capital $127,500 (2,500 x $52 - $2,500)

Statement of Retained Earnings, December 31, 2021:

Beginning balance  $3,000,000

Net income                 $900,000

Dividends                     -223,000

Ending balance        $3,677,000

Beginning balance  $90,000

May 18: Cash              26,000

Ending balance       $116,000

Beginning balance  $4,100,000

May 18: Cash              1,274,000

May 31: Cash                -175,500

August 18: Cash            127,500

Ending balance      $5,326,000

May 31: Cash                 $4,500

August 18: Cash             -2,500

Ending balance            $2,000

Thus, we can summarize from the stockholders' equity that Court Casuals has outstanding shares of 114,000 (116,000 - 2,000) at $1 par, which is the difference between the ending balances of the common stock and the treasury stock accounts, after reflecting the equity transactions for the year.

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The pooled variance in an independent-measures t-test is a weighted average of the two sample variances, based on their respective sample sizes.

The pooled variance, denoted as s^2, is a crucial component in the independent-measures t-test, which is used to compare the means of two independent groups. It is calculated by taking a weighted average of the two sample variances, with the weights determined by the sample sizes of each group.

The pooled variance serves as an estimate of the standard distance between the difference in sample means (M1 - M2) and the difference in the corresponding population means (μ1 - μ2). By combining information from both samples, it provides a more accurate representation of the underlying variability of the population.

Using the pooled variance is advantageous because it takes into account the variability of both groups, allowing for a more robust comparison of the means. When the sample sizes are equal, the pooled variance simplifies to the arithmetic mean of the two sample variances. However, when the sample sizes differ, the pooled variance gives more weight to the variance of the larger sample, reflecting the notion that larger samples provide more reliable estimates of population variability.

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We are asked to simply the following polynomial

Let us find the product of the above polynomial and simplify it

Therefore, the simplified polynomial is

The degree of a polynomial is the highest exponent (power)

For the given case, the highest exponent is 2

Therefore, the degree

Answer:

It is a function

Step-by-step explanation:

The line doesn't pass through the graph twice

Answer:  A

Step-by-step explanation:

Notes: Dividing by a fraction means to multiply by its reciprocal.

           The denominator cannot equal zero.

\(\dfrac{5a^3bc}{8ab^3}\div\dfrac{-ab^2}{6a^5b}\cdot \dfrac{2a^2b^3}{3b}\qquad \rightarrow a\neq 0,b\neq 0\\\\\\=\dfrac{5a^3bc}{8ab^3}\cdot\dfrac{6a^5b}{-ab^2}\cdot \dfrac{2a^2b^3}{3b}\\\\\\=\dfrac{5\cdot 6\cdot 2\quad a^3\cdot a^5\cdot a^2\quad b\cdot b\cdot b^3\quad c}{8\cdot -1 \cdot 3\quad a\cdot a\qquad b^3\cdot b^2\cdot b \quad}\\\\\\=\dfrac{-60a^{10}b^5c}{-24a^2b^6}\\\\\\=\dfrac{-5a^8c}{2b}\)

Answer:

see image

Step-by-step explanation:

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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Answer:

B.) 8x + 12

Step-by-step explanation:

Using the Distributive Property the 4 is multiplied by each number inside the parentheses

4*2x = 8x

4*3 = 12

8x+12

Answer: it’s B

Step-by-step explanation: lol I didn’t want to do the math

Answer:

Step-by-step explanation:

10 times 10 means 100 percent

Then identify the second one:

it has three rows of 10 + the 6 more

So: each row is 10 percent:

100+30+6=

136 Percent!

f be the function given by f(x) = ln(x^2) + cos(x). Derivative of ln(x^2) using chain rule We have: f(x) = ln(u) where u = x^2.  Therefore, the value of f'(2) is approximately 0.091.

Let f be the function given by f(x) = ln(x^2) + cos(x). To find the value of f'(2), we need to differentiate the function f(x) and evaluate it at x = 2.

Derivative of ln(x^2) using chain rule We have: f(x) = ln(u) where u = x^2. Now, we know that the derivative of ln(u) with respect to u is du/u. Therefore, the derivative of f(x) = ln(x^2) with respect to x is: \($$f^{\prime}(x) = \frac{d}{dx}\left[\ln(x^{2})\right]$$$$= \frac{1}{x^2}\cdot\frac{d}{du}\left[\ln(u)\right] \cdot \frac{du}{dx}$$$$\)

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

Derivative of cos(x) using chain ruleWe have: f(x) = cos(u) where u = x. Now, we know that the derivative of cos(u) with respect to u is -sin(u). Therefore, the derivative of f(x) = cos(x) with respect to x is:\($$f^{\prime}(x) = \frac{d}{dx}\left[\cos(x)\right]$$$$= \frac{d}{du}\left[\cos(u)\right] \cdot \frac{du}{dx}$$$$= -\sin(x)$$\)

Putting it together. The derivative of f(x) is:\($$f^{\prime}(x) = \frac{2}{x} - \sin(x)$$\)

Now, we need to evaluate f'(2) using the above expression:\($$f^{\prime}(2) = \frac{2}{2} - \sin(2)$$$$= 1 - \sin(2) \approx \boxed{0.091}$$\)

Therefore, the value of f'(2) is approximately 0.091.

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The invertible (AB)^-1 exists and is equal to B^-1A^-1. Yes, that is correct.

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The expected value for the binomial distribution with the provided probabilities is approximately 1.29888.

To find the expected value for the binomial distribution, we multiply each possible outcome by its corresponding probability and sum them up. In this case, we have the following outcomes and probabilities:

Successes: Probability:

0 243/3125

1 162/625

2 216/625

3 144/625

4 48/625

5 32/3125

To calculate the expected value, we multiply each outcome by its probability and sum them up:

Expected value = (0 * 243/3125) + (1 * 162/625) + (2 * 216/625) + (3 * 144/625) + (4 * 48/625) + (5 * 32/3125)

Simplifying this expression gives us:

Expected value = 0 + 0.26016 + 0.6912 + 0.27648 + 0.0384 + 0.03264

Expected value = 1.29888

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