Find the derivative of 4x^3-7x+8 ÷ x​

Nancy can buy maximum 8 video games.

Steps to solve inequality:

The inequality will not change if the coefficient is positive.

The inequality will be the other way around if the coefficient is negative.

If Nancy wants to keep at least $120 in her account and at present, she is having $240

So, she can spend = 240-120= $120

And, one video game price= $15

Let us consider she can buy maximum 'X' games

15×X=$120

X = 8 units

Hence, she can buy a maximum of 8 video games.

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The expression that represents the area of the rectangle is   \(6x^{2}\)+29x + 35 square units , the degree of the obtained expression is 2.

According to the question,

We have the following information:

A rectangle has sides measuring (2x + 5) units and (3x + 7) units.

A) We know that following formula is used to find the area of rectangle:

Area = length*breadth

Area = (3x+7)(2x+5)

Area = \(6x^{2}\) + 15x +14x + 35

Area =  \(6x^{2}\) +29x + 35 square units

B) The degree of an expression is the highest power of the expression. In  this case, the highest power is 2. Hence, the degree of the expression obtained is 2.The expression can be classifies as a quadratic polynomial.

C) Part A demonstrates the closure property for the multiplication of polynomials because the expression within the brackets are polynomials and the result obtained is also a polynomial.

Hence, the area of the rectangle is \(6x^{2}\) +29x + 35 square units and the degree of the obtained expression is 2.

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Answer:

The null hypothesis is  \(H_o: \mu_1 = \mu_2\)

The  alternative hypothesis is  \(H_1 : \mu_1 \ne \mu_2\)

The test statistics is  \(t = -1.667\)

Step-by-step explanation:

From the question we are told that

  The first sample size is  \(n_1 = 12\)

   The  first sample  mean is  \(\= x_1 = 79.8\)

    The first standard deviation is  \(\sigma _1 = 8.8\)

   The second sample  size is  \(n_2 = 17\)

    The  second  sample  mean is  \(\= x_2 = 85.2\)

    The second  standard deviation is  \(\sigma _2 = 8.3\)

The null hypothesis is  \(H_o: \mu_1 = \mu_2\)

The  alternative hypothesis is  \(H_1 : \mu_1 \ne \mu_2\)

Generally the test statistics is  mathematically represented as  

                 \(t = \frac{\= x_ 1 - \= x_2 }{ \sqrt{ \frac{\sigma_1^2 }{n_1 } +\frac{\sigma_2^2 }{n_2} } }\)

   =>          \(t = \frac{ 79.8 - 85.2 }{ \sqrt{ \frac{8.8^2 }{12} +\frac{ 8.3^2 }{17} } }\)

=>                \(t = -1.667\)

The surface area of a cell phone screen is 117 cm².

What is unit conversion?

Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement.

We can convert mm² to cm² by dividing the area in mm² by the square of the conversion factor, which is (10 mm / 1 cm) = 100 mm² / cm². Therefore, we have:

11700 mm² / (100 mm² / cm²) = 117 cm²

Rounding to the nearest whole number, we get 117 cm².

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Answer:

  C = 1/5t +6

  slope: 1/5, (C) The additional charge per minute

Step-by-step explanation:

Before we can write the function, we need to know the slope of the line. Marked points are separated by 5 units horizontally (run=5) and 1 unit vertically (rise=1). The slope is ...

  m = rise/run = 1/5

The initial charge is the C-intercept: 6. The function can be written in slope-intercept form as ...

  C = 1/5t +6

__

As we saw above, the slope of the function is 1/5, which represents ...

  the additional charge per minute

Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

Answer: To calculate the mean weekly earnings for each occupation in 2010, we need to add up the weekly earnings for each occupation and divide by the number of occupations.

For Forestry, logging and support:

Mean weekly earnings = (971) / (1) = $971

For Manufacturing:

Mean weekly earnings = (977) / (1) = $977

For Transportation and warehousing:

Mean weekly earnings = (900) / (1) = $900

For Construction:

Mean weekly earnings = (1071) / (1) = $1071

For Retail trade:

Mean weekly earnings = (501) / (1) = $501

Therefore, the mean weekly earnings for workers in the listed occupations in 2010 are:

Forestry, logging and support: $971

Manufacturing: $977

Transportation and warehousing: $900

Construction: $1071

Retail trade: $501

Step-by-step explanation:

Answer:

\(\left(\frac{1}{2}, \frac{3}{2} \right)\)

Step-by-step explanation:

\(\left(\frac{-3+4}{2}, \frac{5-2}{2} \right)=\left(\frac{1}{2}, \frac{3}{2} \right)\)

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The value of the expression in scientific notation is 1.2913 * 10^5

The expression is given as:

(1.28 × 105) + (1. 13 × 10³)

Rewrite properly as

(1.28 × 10^5) + (1. 13 × 10^3)

Express 10^3 as 10^-2 * 10^5

So, we have

(1.28 × 10^5) + (1. 13 × 10^3) = (1.28 × 10^5) + (1. 13 × 10^-2 * 10^5)

Factor out 10^5

So, we have:

(1.28 × 10^5) + (1. 13 × 10^3) = (1.28 + 1. 13 × 10^-2) * 10^5

This gives

(1.28 × 10^5) + (1. 13 × 10^3) = (1.28 + 0.0113) * 10^5

Evaluate the sum

(1.28 × 10^5) + (1. 13 × 10^3) = 1.2913 * 10^5

Hence, the value of the expression in scientific notation is 1.2913 * 10^5

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The scientific notation of (1.28 × 105) + (1. 13 × 10³) is  1.2913 × 10⁵

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

The proper format for scientific notation is a × 10ᵇ

where

Therefore, let's evaluate (1.28 × 10⁵) + (1. 13 × 10³)

(1.28 × 10⁵)  = 128000

(1. 13 × 10³)  = 1130

Hence,

(1.28 × 10⁵) + (1. 13 × 10³) = 128000 + 1130 = 129130

In scientific notation,

(1.28 × 10⁵) + (1. 13 × 10³) = 129130 = 1.2913 × 10⁵

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Answer:

corresponding angles

Step-by-step explanation:

The length of side b of the given right angle triangle using law of sines is; b = 12.044 m

The law of sines states that when we divide side "a" by the sine of angle A, it is equal to side "b" divided by the sine of angle B, and also equal to side "c" divided by the sine of angle C

Thus;

a/sin A = b/sin B = c/sinC

The parameters are;

B = 42°

c = 18m

Since c is the hypotenuse, it is the side that will be opposite the right angle and so;

C = 90°

Thus, using sine rule;

c/sinC = b/sin B

18/sin 90 = b/sin 42

b = (18 * sin 42)/1

b = 12.044 m

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Answer:

618

Step-by-step explanation:

l x w

34x5

14x27

5x14

618

Answer:

a

Step-by-step explanation:

Answer:

1 1/8 cups of brown sugar!

Explanation:

If the recipe calls for 2/3 white sugar for every 2/4 brown sugar, then we need to find the ratio really!

So do

3/4/2/3

( three fourths OVER two thirds ) 3/4 is the numerator and 2/3 is the denominator.

You get x=1*c

Finally do

3/4*3/2=x=9/8

Simplify 9/8 to 1 1/8.

Since you will need 1 1/8 cups of brown sugar for cup of brown sugar, you need 1 1/8 cups of brown sugar.

Answer: You will need 1/18

Would love brainliest! Thanks and have a good day!

LMK if you need help understanding it!

Answer: You need 1 1/3

Step-by-step explanation:

Answer:

Since 4 is constant with respect to x , the derivative of 4 with respect to x is 0 .

Answer:

x=-1/4 or -.25

Step-by-step explanation:

I took the test and double checked it

Answer:

$24

Step-by-step explanation:

we just multiply 160  by the percent

15%=.15

160x0.15=24

The tips is $24

Hopes this helps please mark brainliest

Answer: 24

1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1

Answer:

Right angled triangle

Scalene

Answer:13

Step-by-step explanation:

37-3.5=33.5

33.5/2.5=13.4

since it ask for the whole number, it will be 13

The possible values for the range of f(x) are given by:

The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.

In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:

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Answer:

$502.40

Step-by-step explanation:

Kristen works 38 hours for $6.80 per hour.

We multiply her pay and the hours she worked:

                   38 × 6.8 = 258.4

Thus, she makes $258.40/week

                   Now we add her tips, which would be the equation 258.4 + 224

     258.4 + 224 = 502.4

So, she made $502.40 in 1 week

The least number of mice that he has to take out of his hat would be 23.

We have the following details to solve this problem

x = 14

t = 8

u = 6

n1 = x + t + 1

= 14 + 8 + 1 = 23

​

n2 = t + u + 1

= 8 + 6 + 1 = 15

​

n3 = x + u + 1

= =14+6+1=21

From here the

max n (n1, n2, n3) = 23, 15, 21

Hence the least number that has to be taken out would be 23.

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1) (m · n)(- 3) = 9

2) (m / n)(x) = x / x, for x ≠ 0

Herein we have two operations between two functions of the form n(x) = x: (i) Multiplication, (ii) Division. In the first part we find the case of a multplication between two functions:

(m · n) (x) = m(x) · n(x)            (1)

Then,

(m · n) (- 3) = m(- 3) · n(- 3) = (- 3) · (- 3) = (- 3)² = 9

The second part present a case of a division between two functions:

(m / n) (x) = m(x) / n(x)           (2)

Then,

(m / n) (x) = m(x) / n(x) = x / x, where x = 0 leads to an indetermination.

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For the augmented matrix,

1. Row 1 multiplied by -5 is

\(\left[\begin{array}{cccc}20&-30&25&15\\-2&4&0&-3\\2&-6&1&-1\end{array}\right]\)

2. Row 1 interchanged with row 3

\(\left[\begin{array}{cccc}2&-6&1&-1\\-2&4&0&-3\\20&-30&25&15\end{array}\right]\)

3. Row 1 multiplied by -2 and added to row 3

\(\left[\begin{array}{cccc}2&-6&1&-1\\-2&4&0&-3\\16&42&23&17\end{array}\right]\)

An augmented matrix can be described as a rectangular shaped array of numbers that represents a system of linear equations. These numbers are arranged in rows and colums. They can differ  in sizes depending on the array of numbers in the matrix.

The above answer is in response to the questions below as seen in the picture.

Perform the indicated row operation on the given augmented matrix.

[-4 6 -5 -3, -2 4 0 -3, 2 -6  1  -1]

a. Multiply row 1 by -5

[_ _ _ _, _ _ _ _, _ _ _ _]

b. interchange row 1 and row 3

[_ _ _ _, _ _ _ _, _ _ _ _]

c. Multiply row 1 by -2 and add to row 3

[_ _ _ _, _ _ _ _, _ _ _ _]

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The fraction 1/2 converts to 0.50 in decimal form.

The mixed number 15 & 3/4 is the same as 15.75

If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.

Multiply by 8 to find the total number of pizzas possible.

8*15.25 = 122

Calvin can make 122 pizzas in an 8-hour shift with Megan.

Since Calvin works at a pizza place making pizzas, and if he is working alone, he can make an average of 15 3/4 per hour, but if he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour, to determine how many pizzas can Calvin make in a 8-hour shift with Megan, the following calculation must be performed:

Therefore, Calvin can make 122 pizzas in an 8-hour shift with Megan.

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Answer:

Elecretian 1

Step-by-step explanation: