cell d4 contains a ten-digit phone number with hyphens after the third and sixth digits. which function will remove the hyphen after the sixth digit?

To find the derivative of the given expression (-4x² + 5x³)(8e + 5) using the product rule, we differentiate each term separately and apply the product rule.

Let's denote the first term as f(x) = -4x² + 5x³ and the second term as g(x) = 8e + 5.

Using the product rule, the derivative of the expression can be calculated as:

(fg)'(x) = f'(x)g(x) + f(x)g'(x)

Differentiating f(x) and g(x) with respect to x:

f'(x) = d/dx (-4x² + 5x³) = -8x + 15x²

g'(x) = d/dx (8e + 5) = 0 (since g(x) is a constant term)

Substituting these values into the product rule formula:

(fg)'(x) = (-8x + 15x²)(8e + 5) + (-4x² + 5x³)(0)

        = (-8x + 15x²)(8e + 5)

Therefore, the derivative of the given expression (-4x² + 5x³)(8e + 5) using the product rule is (-8x + 15x²)(8e + 5).

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Answer:

\((1)\;\;\;\text{Slope }= \dfrac{3}{5}\\\)

(2) Equation of line in slope-intercept form is
\(y = \dfrac{3}{5}x + 3\)

(3) Equation of line in standard form is:
\(5y - 3x = 15\)

Step-by-step explanation:

Equation of a line in slope-intercept form is
y = mx + b

where m = slope and b = y-intercept

Slope = \(\dfrac{y2 - y1}{x2-x1}\)

where (x1, y1) and (x2, y2) are two points on the line.

y2 - y1 is known as the rise
x2 - x1 is known as the run
Slope is also defined as rise/run

We are given x-intercept = -5.
The ex-intercept is the point at which the line crosses the x-axis. At this point the y-value = 0.

So we get one of the points (-5, 0)

We are given y-intercept = 3
The y-intercept is the point at which the line crosses the y-axis. At this point the x-value is 0

So another point on the line is (0, 3)

Knowing this we can compute rise and run
rise = y2 - y1 = 3 - 0 = 3

run = x2 - x1 = 0 - (-5) = 0+5 = 5

\((1)\;\;\;\text{Slope = $\dfrac{3}{5}$}\)

(2) Equation is
y = mx + b where m = slope and b = y-intercept
Slope = 3/5 from (1) and y-intercept = 3

So equation of line in slope-intercept form is
\(y = \dfrac{3}{5}x + 3\)

(3) Equation in standard form
In (2) subtract (3/5)x from both sides.

\(y - \dfrac{3}{5}x = 3\)

We can multiply both sides by 5 to get
\(5(y - \dfrac{3}{5}x )= 5 \times 3\\\\= 5y - 3x = 15\)

Step-by-step explanation:

as given,

hari bought,

amount of pure ghee he bought = 25 kg

cost of pure ghee per kg = Rs. 180

so, cost of 25 kg of pure ghee = 180 × 25 = Rs 4,500

amount of vanaspati ghee = 25 kg

cost of per kg of vanaspati ghee = Rs. 80

so, cost of 25 kg of vanaspati ghee = 80 × 25 = Rs. 2,000

he mixed both the ghee and got ( 25 + 25 ) = 50 kg of mixed ghee.

he sold them in cost = Rs. 150 per kg

so, total SP of mixed ghee = 150 × 50 = Rs. 7,500

so,

total CP = ( 4500 + 2000 ) = Rs. 6,500

total SP = Rs. 7,500

so,

Profit = SP - CP

→ 7,500 - 6,500 = Rs. 1000

Profit / gain = ( gain × 100 / CP)

→ (1000 × 100 / 6,500 )

→ 1000/65 = 15.38 ( approx.)

therefore, it's a profit of 15.38%.

hope this answer helps you dear! and may u have a great day ahead! take care!

ANSWER

Step-by-step explanation:

DEGREE =2

The function f(x) = ab^x is an exponential function.

From the question, we have the following parameters that can be used in our computation:

f(x) = ab^x

As a general rule, and exponential functtion is represented as

f(x) = ab^x

Where

Hence, the function is an exponential function

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In order to calculate the maximum loan amount the Rosens can afford, we can use the 28% rule of thumb..Down Payment + Points = 15% Down Payment + 3 Points Down Payment + Points = 15% x 113,500 + 3 Points

In order to calculate the maximum loan amount the Rosens can afford, we can use the 28% rule of thumb. This rule states that the total monthly mortgage payment (principal, interest, taxes, and insurance) should not exceed 28% of the Rosens’ adjusted monthly income. The adjusted monthly income is calculated by subtracting the total monthly payments for their car, boat, and furniture from their gross monthly income To calculate the maximum loan amount, we can use the following formula :Maximum Loan Amount = (Adjusted Monthly Income x 28%) - (Monthly Property Tax + Monthly Home Insurance)For the Rosens, the adjusted monthly income is 4750 - 420 = 4330. The maximum loan amount is then calculated as follows: Maximum Loan Amount = (4330 x 0.28) - (1200/12 + 320/12)Maximum Loan Amount = 1208 - 200 Maximum Loan Amount = 1008.The maximum loan amount the Rosens can receive is then calculated by subtracting the down payment and points from the maximum loan amount .Down Payment + Points = 15% Down Payment + 3 Points Down Payment + Points = 15% x 113,500 + 3 Points.

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Answer:

put the value of x yourself .Then it will be easy for you.

Answer:

y=3x+11

Step-by-step explanation:

hope this helps!!!

Answer:

A

Step-by-step explanation:

it's 8.36 which is between 4 and 10

No the value of functions are not same .

What is function in math?

  - 5 × ( -5)⁻⁹  =  -5 ×  1/-5⁹  ⇒ 1/5⁸  = 1/390625

[ -5 × (-5)]⁻⁹ = [25]⁻⁹  = 1/25⁹ = 1/3814697265625

No the value of functions are not same .

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Answer:

true

Step-by-step explanation:

becuse if you put too penicils on the sides or top and bootem the points will never touch

Answer:

15, 16, 17

Step-by-step explanation:

let the consecutive numbers be n , n + 1 , n+ 2 , then

n + n + 2 = 32 ( sum of first and third )

2n + 2 = 32 ( subtract 2 from both sides )

2n = 30 ( divide both sides by 2 )

n = 15

n + 1 = 15 + 1 = 16

n + 2 = 15 + 2 = 17

The 3 numbers are 15, 16, 17

Step-by-step explanation:

let the 1st and 2nd consecutive number be

x , x + 1 , x + 2

their sum = 32

so, x + x + 2 = 32

→ 2x + 2 = 32

→ 2x = 32 - 2 = 30

→ x = 30/2 = 15

so,

1st and 3rd consecutive number is

x = 15

x + 2 = 15 + 2 = 17

as they are consecutive number so 2nd number is 16

and a/q sum of 1st and 3rd number is 32

15 + 17 = 32

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

(here i assume that the daily record is another rectangle)

For a rectangle with width W and length L, the perimeter is:

P = 2*W + 2*L

in this case we know that:

P = 125

W = 15

Replacing these in the perimeter equation we get:

125 = 2*15 + 2*L

125 = 30 + 2*L

125 - 30 = 2*L

95 = 2*L

95/2 = L = 47.5

Now we know that the daily record has a scale factor of 60%.

This means that each measure of this rectangle is (60%/100%) times the equivalent measure of the rectangle garden.

Then if the width of the daily record is W' and the length of the daily record is L'

This means that:

L' = (60%/100%)*L = 0.6*L = 0.6*47.5

W' = (60%/100%)*W = 0.6*W = 0.6*15

Then the perimeter is:

P' = 2*0.6*47.5 + 2*0.6*15 = 75

(notice that is exactly the same than multiplying the original perimeter by (60%/100%) = 0.6)

The appropriate test statistic to test the hypotheses is 2.71. Hence, the correct option is D.

The appropriate test statistic to test the hypotheses is the z value. The z value is calculated using the formula:

z = (x - μ) / (σ / √n)

Where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, x = 6.65, μ = 6, σ = 1.5, and n = 39.

Plugging these values into the formula gives:

z = (6.65 - 6) / (1.5 / √39)
z = 0.65 / (1.5 / 6.24)
z = 0.65 / 0.24
z = 2.71

Therefore, the appropriate test statistic to test the hypotheses is 2.71, which corresponds to option D.

Note: The question is incomplete. The complete question probably is: A mail-order business prides itself in its ability to fill customers' orders in less than six calendar days, on average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. On one occasion when a sample of 39 orders was selected, the average number of days was 6.65 with a population standard deviation of 1.5 days. calculate the appropriate test statistic to test the hypotheses. (z value). A) 4.54 B) 4.87 C) 1.76 D) 2.71.

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The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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Write an example from daily life that uses rational numbers .

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Answer:

$2122.17 (correct to the nearest cent).

Explanation:

To find the amount after 5 years, we use the compound interest formula below:

Substitute the given values:

After 5 years, you will have $2122.17 (correct to the nearest cent).

The number of rhinestones per square centimeter on the surface of a disco ball is 448/274.167.

Suppose that radius of the considered sphere is of 'r' units.

Then, its surface area S would be:

\(S = 4\pi r^2 \: \rm unit^2\)

Given;

A disco ball has a circumference of 16.558 centimeters

448 rhinestones on its surface.

Now,

2pi*r=16.558

r=8.279/pi

Surface area of sphere=4pi*r^2

=4*68.541841

=274.167

Here, 448/274.167

Therefore, the surface area per square cm will be 448/274.167.

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Answer:

x+15=5x-41

5x - x = 15 + 41

4x = 56

x= 56/4

We consider the unknown angle as " y "

y +29 =180 —> y=180 -29= 151

SO; X = 14 and angle 29° , 29° —> Opposite angles

and other angles 151° , 151° —> Opposite angles

I hope I helped you^_^

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.

According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.

Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

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Answer:

area of the shape is 12,6 5 2

Answer:

10b=60 is correct

Step-by-step explanation:

With 60 random samples, the auditor should communicate the finding of the material misstatement to the appropriate level of management.

What is random sampling?

In statistics, sampling is a way of picking a subset of the population from which to draw statistical conclusions. The characteristics of the entire population may be approximated from the sample. Market research sampling may be divided into two types: probability sampling and non-probability sampling.

Now,

Based on the information provided, the auditor should evaluate whether the overstatement of $4,000 in the sample is indicative of a material misstatement in the population of purchase orders.

To do this, the auditor can calculate the projected misstatement and compare it to the tolerable misstatement for purchases.

The projected misstatement can be calculated as follows:

Projected misstatement = (Total population / Sample size) x Sample misstatement

Projected misstatement = (1,200 / 60) x $4,000

Projected misstatement = $80,000

Since the projected misstatement of $80,000 exceeds the tolerable misstatement of $50,000, the auditor should conclude that there is a material misstatement in the population of purchase orders.

As the materiality threshold of the company is $65,000, the auditor should communicate the finding of the material misstatement to the appropriate level of management and consider adjusting the financial statements accordingly. The auditor may also need to perform additional audit procedures to further evaluate the extent of the misstatement and identify the cause of the overstatements.

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Answer:

94.2 square units.

I got 94.09 but that seems to be the closer answer.

Answer:

Step-by-step explanation:

0.63 hope this helps

The required value of probability can be found as 0.85. The correct option is (D).

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The percentage of people having no, one, two and three or more injuries are given as 22%, 45%, 18% and 15% respectively.

Then, the probability of an event is equivalent to the percent value.

Now, the probability of skateboarders not having 3 or more injuries is given as,

⇒ 1 - P(Three or more injury)

⇒ 1 - 15/100

⇒ 0.85

Hence, the probability can be obtained for not having 3 or more injuries  as 0.85.

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Answer:

The cost of dinner plus a 15% tip was $23. How much is the dinner?

the cost of the dinner = $20

Step-by-step explanation:

Given that:

p= cost of dinner

0.15p = cost of a 15% tip

p + 0.15 p = 23

The objective is to represent this problem in words based on the given information.

From above, we can say that:

The cost of dinner plus a 15% tip was $23. How much is the dinner?

SO;

p + 0.15 p = 23

1.15 p = 23

Divide both sides by 1.15

p = 23/1.15

p = 20

Therefore, the cost of the dinner = $20

By using the quadratic formula, the solution to this quadratic equation is equal to -0.5251 or -3.8081.

In Mathematics, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\)

From the information provided, we have the following values;

3x² + 13x + 4 = 0

Where:

a = 3

b = 13

c = 4

Substituting the values into the quadratic formula, we have the following;

\(x = \frac{-(13)\; \pm \;\sqrt{(13)^2 - 4(3)(13)}}{2(3)}\\\\x = \frac{-13\; \pm \;\sqrt{169 - 72}}{6}\)

x = (-13 + √97)/6

x = -0.5251 or -3.8081.

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Answer:

x=40

Step-by-step explanation:

The 2 angles are opposite each other. Therefore, they are vertical angles. This means the 2 angles are equal. So, we can set them equal to each other.

120=3x

We want to find out what n is. In order to do this, we have to get n 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 multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

120/3=3x/3

120/3=x

40=x

x is equal to 40.

Answer:

40

Step-by-step explanation:

i had this a while ago

Answer:

$0.51 per golf ball.

Step-by-step explanation:

9.26 divided by 18 is 0.51.

Answer:

$1.94 dollars

Step-by-step explanation:

hehe