Which of the following is NOT a factor of b3 +6b²?
63
062
Ob
(b + 6)

The height of a triangle with a hypotenuse of 23 and angle between base and hypotenuse of 75° is h= 23sin(75)

An equation is an expression that shows the relationship between two or more variables and numbers.

Trigonometric ratio shows the relationship between the sides and angles of a right angle triangle.

Let us assume that the right triangle has a altitude h, hypotenuse of 23 and angle between base and hypotenuse is 75°, hence:

sin(75) = h/23

h= 23sin(75)

The height of a triangle with a hypotenuse of 23 and angle between base and hypotenuse of 75° is h= 23sin(75)

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The rate is 50gtt per minutes.

From the information, out of the total hours of 8 hours, four hours were used.

The volume will be:

= 1000 - 400

= 600ml

Time = 4 × 60 = 240 minutes

Drop factor = 20

Therefore, the growth rate will be:

= 600/240 × 20

= 50gtt/min

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The equation for the profit from selling the items is P =  40x-0.5x²-300. The values of x are 10 and 70.

We have the cost function in this question to be

Cx = 60x+300

Revenue = 100x−0.5x²

A. The revenue function is stated as the revenue - cost

= (100x−0.5x²)-60x+300

We have to open the equation

40x-0.5x²-300

B. when profit is 50 dollars

50 = 40x-0.5x²-300

We have to multiply both sides by 10

500 = 400x - 5x² - 3000

We have to collect like terms and form a quadratic equation

5x² - 400x - 3500 = 0

We have to solve the quadratic equation above using a quadratic calculator.

Hence

x = 10, 70

So the two values that would create a profit of 50 dollars is 10 and 70.

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Step-by-step explanation:

60000÷ 10 = 600 and 600 ÷ 3 =20

The total sales realized by the company was $20,000,000.

percentage, a relative value indicating hundredth parts of any quantity.

Let x be the total sales realized by the company.

Maria's pay is 3% of the total profits, which is 3% of 10% of total sales

0.03(0.1x) = 0.003x.

Her total income is given as $60,000, so we have:

0.003x = 60000

Solving for x:

x = 60000/0.003 = 20,000,000

Therefore, the total sales realized by the company was $20,000,000.

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The 2-digit number is 26:

26 - 1 = 25 is a square number.

26 + 1 = 27 is a cube number.

Here we want to find a 2-digit number N, such that:

To do that, we can just create a list of cubic and square numbers of 2 digits, these are:

Square numbers:

4*4 = 16

5*5 = 25

6*6 = 36

etc...

Cube numbers:

3*3*3 = 27

4*4*4 = 64

etc...

Now, we can see that 25 is a square number and 27 is a cube number, then our 2-digit number can be 26.

Because:

26 - 1 = 25 is a square number.

26 + 1 = 27 is a cube number.

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It would take 2 hours for me at level 6 to be on the same level with my friend which is initially at level 5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let t represent the time it would take to be on the same level with your friends. I am at level 6 and my friend is on level 4, hence:

5t = 4t + 2

t = 2 hours

It would take 2 hours for me at level 6 to be on the same level with my friend which is initially at level 5.

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Answer:

OA

Step-by-step explanation:

Answer:

3.25 years (nearest hundredth)

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for t:

[tex]\implies \sf 4916=4000\left(1+\frac{0.064}{4}\right)^{4t}[/tex]

[tex]\implies \sf 4916=4000\left(1.016\right)^{4t}[/tex]

[tex]\implies \sf \dfrac{4916}{4000}=\left(1.016\right)^{4t}[/tex]

[tex]\implies \sf \dfrac{1229}{1000}=\left(1.016\right)^{4t}[/tex]

[tex]\implies \sf \ln \left(\dfrac{1229}{1000}\right)=\ln \left(1.016\right)^{4t}[/tex]

[tex]\implies \sf \ln \left(\dfrac{1229}{1000}\right)=4t \ln \left(1.016\right)[/tex]

[tex]\implies \sf t=\dfrac{\ln \left(\frac{1229}{1000}\right)}{4\ln \left(1.016\right)}[/tex]

[tex]\implies \sf t=3.247594892...[/tex]

Therefore, it will take 3.25 years (nearest hundredth) for the account to grow to $4916.

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The equations that represent linear relationship is y – 5 = 2(x – 1)

Linear functions are functions that has a leading degree of 1. According to the question, we need to determine the function that represents linear equation.

The required equation must have a degree of 1 and must contain both dependent and independent variables.

The equations that represent linear relationship is y – 5 = 2(x – 1)  

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Answer:

The anser is:

A

C

D

E

Step-by-step explanation:

I hope this helps, have a blessed day :)

The formula for the number of bacteria at time t is 1000 x (2^t).

The number of bacteria after one hour is 2828

The number of minutes for there to be 50,000 bacteria is 324 minutes.

The exponential function that can be used to determine the number of bacteria with the passage of time is:

initial population x (rate of increase)^t

1000 x (2^t).

Population after 1 hour : 1000 x 2^(60/40) = 2828

Time when there would be 50,000 bacteria : In(FV / PV) / r

Where:

In (50,000 / 1000)

In 50 / 1  = 3.91 hours x 60 = 324 minutes

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Answer: 319.74 square mm

Step-by-step explanation:

[tex]6(7.3)^2=319.74[/tex]

The system of equation that will represent her purchase is as follows:

1.39b + 2.49m = 50.73

1.29b + 2.69m = 51.63

At store A she will pay a total sum of $50.73 for bread and milk.

At store B she will pay a total sum of $51.63  for bread and milk.

Therefore, the system of equation that will represent her purchase is as follows:

where

b = number of bread

m = number of milk

Therefore,

1.39b + 2.49m = 50.73

1.29b + 2.69m = 51.63

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The perimeter of the rectangle as a function of its base is P = 2(b + 235/b)

The perimeter of a shape is the sum of the side lengths of the shape For all regular quadrilaterals, you add up the side lengths to determine the area

The given parameters are

Area = 235 sqare inches

The area of a rectangle is calculated using

Area = Base * Height

Note that the area of a shape is the amount of space on the shape

Recall that the area of a rectangle is calculated using

Area = Base * Height

Rewrite the above equation as

A = bh

So, we have

bh = 235

Make h the subject of the formula

h = 235/b

The perimeter of the rectangle is

P = 2(b + h)

So, we have

P = 2(b + 235/b)

Hence, the perimeter of the rectangle as a function of its base is P = 2(b + 235/b)

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Answer:

36

Step-by-step explanation:

I think it’s a trick question because “legs” can also mean like chair legs that hold it up. Therefore:

2 dogs = 8 legs

4 horses = 16 legs

1 giraffe = 4 legs

And a bed: 4 legs(things that hold it up)

And a chair: 4 legs (things that hold it up)

This is assuming that the bed is a normal bed with stools holding it up

And the chair has 4 piles aswell as no missing legs in the animals… lol

Step-by-step explanation:

It is said A=B I have drawn the Venn diagram of A=B

We can actually deduce here that the ordered pairs that make both inequalities true are:

An inequality is known to be an expression that shows that certain variables or values are not equal to each other. It is usually seen in an inequality expression as:

We see the attached image that shows the graph of inequality and which completes the question.

The options that complete the question are:

A. –2, 2

B. (0, 0)

C. (1,1)

D. (1, 3)

E. (2, 2)

When we insert the values of each axes into the inequality expressions given, we will discover that the ordered pairs that the inequalities true is (1,1) and (2, 2).

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Answer:

sqrt(172) = hypotenuse

Step-by-step explanation:

IF those are the leg lengths (sides) and not the hypotenuse, then use Pythagorean theorem

c^2 = 7^2 + sqrt (123) ^2

c = sqrt (172)

If sqrt 172 is the hypotenuse :

(sqrt123)^2 = 7^2 + x^2

then  x = sqrt (74 )

Step-by-step explanation:

1) 3 + 4 = 7

2) 6 - 6 = 0

3) 1 + 3 = 4

4) 6 + 9 = 15

5) 10 - 14 + 2 = -2

6) 2 + 3 - 5 = 0

Answer:

x = 3

Step-by-step explanation:

We can use the following equation to solve for x:

[tex]315=9x-27+8x+24+5x-17+2x+23\\315=(9x+8x+5x+2x)+(-27+24-17+23)\\315=24x+3\\312=24x\\13=x[/tex]

Answer:

Step-by-step explanation:

We use the known identity:

sin (A + B)  sin A cos B + cos A sin B.

8 sin x cos 3x + 8 sin 3x cos x

= 8 (sin x cos 3x + sin 3x  cos x)

= 8sin (x + 3x)

= 8 sin 4x

Identity :

sin (A + B)  sin A cos B + cos A sin B

= 8 sin x cos 3x + 8 sin 3x cos x

= 8 (sin x cos 3x + sin 3x  cos x)

= 8sin (x + 3x)

= 8 sin 4x

The value of x according to the equation in the task content is; -5.35 or -10.65.

The equation given in the task content is; (x + 8)² -7 = 0.

Hence, the equation can be solved as follows;

(x + 8)² - 7 = 0

x² + 16x +64 -7 = 0

x²+ 16x +57 = 0

By solving by means of the quadratic formula, we have;

x = -5.35

x = -10.65

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Answer:

its the same as increasing x by 5 percent

Answer:

1.05x is the answer

Step-by-step explanation:

From the given information, the measure of DEF is 81°

From the question, we are to determine the measure of DEF

From the given information,

DEF and RST are complementary angles. This means they sum up to 90°

Thus,

(3(-5 + 2x)) + (x - 7) = 90

(3(-5 + 2x)) + (x - 7) = 90

(-15 + 6x) + (x - 7 ) = 90

-15 + 6x + x - 7 = 90

6x + x = 90 + 15 + 7

7x = 112

x = 112/7

x = 16

Then, substitute the value of x to determine the measure of DEF

(3(-5 + 2x))

= (3(-5 + 2(16)))

= (3(-5 + 32))

= (3(27))

= 81°

Hence, the measure of DEF is 81°

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Cost of bench = x

Cost of garden table = x - 50

x - 50 + x = 700

2x - 50 = 700

2x = 750

x = 325

Answer:

no

Step-by-step explanation:

you have done your part by helping in their study session,if you help them cheat you will suffer the consequences if he/she is caught,

This is an academic integrity violation because it is against honesty rules, the best would be to offer assistance to your friend.

Academic integrity encompasses principles of honesty, fairness, and trustworthiness in academic pursuits. It generally includes a commitment to originality and independent work. Assisting someone in completing an exam, especially a take-home exam, where individual effort and understanding are expected, would likely violate academic integrity policies.

Handling the situation ethically and responsibly would involve respecting the academic rules and ensuring fairness for all students. Instead of directly completing the exam for your friend, you can offer assistance by explaining concepts, providing guidance on problem-solving approaches, or reviewing their completed work to identify errors or areas for improvement. This way, you can help your friend learn the material and develop their own understanding, without compromising academic integrity.

Encourage your friend to seek additional help from their professor, teaching assistants, or tutoring services provided by the institution. They can also engage in group study sessions or form study groups with classmates, which promote collaborative learning while maintaining individual effort.

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the effects of the given transactions on the accounting equation are:

an investment would increase assets (cash) and also increase equity. every expense such as salaries would decrease assets and equity.

incurring debt would increase assets and liabilties while paying off debt would decrease both asset (cash) and liabilities.

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The amount Barbara earned this month is  $1512.

Percentage can be described as a fraction of an amount expressed as a number out of hundred.

Barbara's earnings = percentage commission x worth of goods sold

7% x 21,600

0.07 x 21,600 = $1512

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The first negative term of the sequence is -2

The terms of the sequence which is the first negative term can be calculated as follows:

The sequence with nth term is 150 - 4n.

The first negative term will be the first term you will multiply by 4 that will be greater than 150.

Therefore,

nth term with first negative number = 150 - 4(38)

nth term with first negative number = 150 - 152

nth term with first negative number = -2

Therefore, the first negative term of the sequence is -2

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Answer:

6x-18

Step-by-step explanation:

6*(x-3)

multiply 6 with x and 3