write the simplified form of expression 3(x+8)
what is simplified form of -(2y-3x)
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The trees must be between 16 and 26 years old

16  <  x   ≤ 26

Height at which the trees are planted = 6 cm

Yearly growth of trees = 9cm

The tree can only flower when they are taller than 150 cm

The tree to be selected should not be more than 240 cm so that they can flower

Let the age of the tree be represented by x

The equation that represents this illustration is:

150 < 6   +   9x   ≤   240

150 - 6 <  6 + 9x - 6   ≤  240  -  6

144  <  9x  ≤ 234

Divide through by 9

144/9  <  x    ≤  234/9

16  <  x   ≤ 26

For the flower to blossom, it must be older than 16 years and not more than 26 years old

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Answer:

The coefficient of 7x is 7

The correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E. Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

Given that a company's vice president's salary n years after becoming vice president is defined by the formula S(n) = 70000(1.2)". We have to determine which of the following statements is true:

She will be receiving a 2% raise per year. Her salary will increase $14,000 every year. The percent increase of her salary is 120% every year. Her salary is always 0.2 times the previous year's salary. The percent increase of her salary is 20% every year.

To calculate the salary of the vice president after n years of becoming a vice president, we use the given formula:

S(n) = 70000(1.2)

S(n) = 84000

The salary of the vice president after one year of becoming a vice president: S(1) = 70000(1.2)

S(1) = 84000

The percent increase of her salary is: S(n) = 70000(1.2)n

S(n) - S(n-1) / S(n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = (70000(1.2)n) - (70000(1.2)n-1) / (70000(1.2)n-1) × 100%

S(n) - S(n-1) / S(n-1) × 100% = 20%

Therefore, the correct statement is the percent increase of her salary is 20% every year. Hence, the answer is option E.

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The value of x from the intersecting lines diagram is x = 15°

Given data ,

Let the intersecting lines be a and b

Now , the angle formed by the first line is ∠m = 75°

And , the measure of ∠n = 5x

where ∠n = ∠m ( vertically opposite angles are equal )

So , 5x = 75

Divide by 5 on both sides , we get

x = 15°

Hence , the angle is 15°

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The given statement " if a random variable is discrete, it means that the random variable can only take non-negative integers as possible values." is False because it can also take negative integers.

A discrete random variable is a random variable that can only take on a countable number of distinct values, which may or may not be integers. These values can be positive, negative, or zero, and they do not have to be restricted to non-negative integers.

For example, the number of cars that pass through a certain intersection in an hour is a discrete random variable, which can take on any non-negative integer value. However, the number of children in a family is also a discrete random variable, which can take on any non-negative integer value, but it doesn't have to be an integer.

Conversely, a continuous random variable is a random variable that can take on any value in a specified range or interval, typically representing measurements such as time, distance, or weight. Examples of continuous random variables include the height of a person, the temperature of a room, and the amount of rainfall in a given area.

Therefore, whether a random variable is discrete or continuous does not necessarily imply anything about the range of values that it can take.

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Answer:

7. 3/7

8. 5/7

9. 1/7

10. 6/7

11. 5/7

12. 4/7

Answer:

Step-by-step explanation:

The ladder is the vertical leg and the slide is the hypotenuse of the triangle formed.

The angle opposite the ladder is 25°, slide has the length of x.

Write an example from daily life that uses rational numbers .

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Answer:

Y= 2x + 6

Step-by-step explanation:

So, at first it would be y= mx + b

But now you need to fill it in with the numbers the y-intercept will replace B and 2 will replace m.

Answer:

16% is the answer.

Answer:

16%

Step-by-step explanation:

$6 divided by $5.04 = 0.84

0.84 x 100 = 84%

100 - 84 = 16

6 - 5.04 = 0.96

0.96 divided by 6 = 0.16

0.16 x 100 = 16

Answer:

I can't decide

Step-by-step explanation:

Answer:

Mine is one piece and kumo desu nani ga i love it lol

Step-by-step explanation:

Answer:

In standard form 7.4 × 10^-2

Step-by-step explanation:

Answer:

7.4×10^-2

Step-by-step explanation:

Firstly, to convert 0.074 to standard form you will bring the first significant figure and make it the first I.e 7.4 then count how many times you took it backwards to make it 7.4 then put a negative sign in front of it because you took it backwards

Answer:

D

Step-by-step explanation:

Answer:

\(c= 5\)

Step-by-step explanation:

\(\text{If any quadratic expression is a perfect square, then}\\ \\~~~~~~~\text{discriminant} = 0\\\\\implies b^2 -4ac = 0\\\\\implies 6^2 - 4 \cdot 1 (4+c) = 0~~~~~~~~~~~~~~~;[\text{Compare with the standard form}~ ax^2 +bx +c]\\\\\implies 36 - 16 - 4c =0 \\\\\implies 20-4c =0\\\\\implies 4c = 20\\\\\implies c = \dfrac{20}{4}\\\\\implies c= 5\)

What value of c will make the expression x² + 6x + 4 + c a perfect square?

Add and Subtract 9:

Complete the square:

Hence, the correct answer is Square = c + x² + 6x + 4 = c. + (x + 3)² - 5 or c = 5

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Answer: 33554432

Step-by-step explanation:

8 x (2 ^ (23 - 1)) = 33554432

According to the information we can infer that being a refugee in a protracted situation, whether as a camp-dweller or self-settled, is characterized by prolonged displacement, limited resources, and uncertainty about the future.

Being a refugee in a protracted situation, whether as a camp-dweller or self-settled, is characterized by prolonged displacement, limited resources, and uncertainty about the future.

Refugees in such situations face challenges in accessing basic resources like food, water, shelter, healthcare, and education. They often live in temporary or makeshift accommodations for years or even decades, with limited prospects for a permanent solution. This uncertainty creates emotional strain and affects long-term planning.

According to the above we can conclude that many refugees demonstrate resilience and adaptability, building communities and support networks, finding ways to earn a livelihood, and pursuing education.

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Dimensions of the rectangular garden are 45 yards each and area with  the calculated dimensions are 2025 square yards.

As given in the question,

Perimeter of the rectangular garden is equal to 180 yards

Let 'x' be the length and 'y' be the width of the rectangular garden

2 ( x + y ) = 180

⇒ x + y = 90

⇒ y = 90 -x

Area of the rectangular garden 'A' = xy

⇒ A = x ( 90 - x)

⇒ A = 90x - x²

To maximize the area dA/dx = 0

dA/dx = 90 - 2x

⇒ 90 - 2x = 0

⇒ 2x = 90

⇒ x = 45 yards

⇒ y = 45 yards

Area of the rectangular garden = 45 × 45

                                                 = 2025 square yards

Therefore, the dimensions of the garden are 45 yards each and area of the rectangular garden is equal to 2025 square yards.

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Answer:

9 years.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

t = 267.57 / ( 991 × 0.03 ) = 9

t = 9 years

The time required to

accumulate simple interest of $ 267.57

from a principal of $ 991.00

at an interest rate of 3% per year

is 9 years.

Answer:

A rhombus is a geometric figure that lies in a plane. It is defined as a quadrilateral all of whose sides are congruent. It is a special type of parallelogram, and its properties (aside from those properties of parallelograms) include:

Its diagonals divide the figure into 4 congruent triangles.

Its diagonals are perpendicular bisectors of eachother.

If all of a rhombus' angles are right angles, then the rhombus is a square.

Answer:yes it does have perpendicular lines

Step-by-step explanation:

The mass of salt in the tank at time t.

dS/dt = 10 - S/400

S(0) = 100 grams

The solution is S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

A tank holds water V(0) = 4000 liters in which salt S(0) = 100 grams.

So dS/dt = S(in) - S(out)

S(in) = 1 × 10 = 10 gram/liters

S(out) = S/V × 10 = 10S/V gram/liters

V = V(0) + q(in) - q(out)

V = 4000 + 10t - 10t

V = 4000 liters

dS/dt = 10 - 10S/V

dS/dt = 10 - 10S/4000

dS/dt = 10 - S/400

Now given; S(0) = 100.

Here, p(t) = 1/400, q(t) = 10

\(\int p(t)dt = \int\frac{1}{400}dt\)\(\int p(t)dt = \frac{1}{400}t\)

\(\mu=e^{\int p(t)dt}\)

\(\mu=e^{\frac{t}{400}}\)

So, S(t) = \(\frac{\int\mu q(t)dt+C}{\mu}\)

S(t) = \(\frac{\int e^{\frac{t}{400}} \cdot10dt+C}{e^{\frac{t}{400}}}\)

S(t) = \(e^{\frac{-t}{400}} \left({\int e^{\frac{t}{400}} \cdot10dt+C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({10\times\frac{e^{\frac{t}{400}}}{1/400} +C}\right)\)

S(t) = \(e^{\frac{-t}{400}} \left({4000\times{e^{\frac{t}{400}} +C}\right)\)

Now solving the bracket

S(t) = 4000 + \(e^{\frac{-t}{400}}\)C.....(1)

At S(0) = 100

100 = 4000 + \(e^{\frac{-0}{400}}\) C

100 = 4000 + \(e^{0}\) C

100 = 4000 + C

Subtract 4000 on both side, we get

C = -3900

Now S(t) = 4000 - 3900\(e^{\frac{-t}{400}}\)

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The complete question is:

A tank holds 4000 liters of water in which 100 grams of salt have been dissolved. Saltwater with a concentration of 1 grams/liter is pumped in at 10 liters/minute and the well mixed saltwater solution is pumped out at the same rate. Write initial the value problem for:

The mass of salt in the tank at time t.

dS/dt =

S(0) =

The solution is S(t) =

Answer:

D. 36

Step-by-step explanation:

Ratios are a way to represent of how much there is one thing to another. It's a more simplistic representation.

For example, if there were 625 adults and 375 children, we don't say there are 625 adults to 375 children, we say there are 5 adults to 3 children.

All I did was divide both the number of children and adults by 125 and we have a ratio of 5:3 for adults to children respectively.

In this problem, we have a ratio of 3:2 for girls to boys. This 3:2 ratio is a simplistic representation of the number of girls to boys. We know that there are 24 boys.

Dividing 24/2 = 12

12 is the proportion which we multiply by the ratio to get the true numbers for boys and girls.

2 * 12 = 24 boys

3 * 12 = 36 girls

So there are 36 girls in the marching band.

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

The slope of the dotted line is -1. The slope of the solid line is 4.

Answer:

c

Step-by-step explanation:

$5 for 1 shirt

y = cost

x = number be shirts

10y = 2x

5y = x

Answer:

Multiplication Property of Equality

Step-by-step explanation:

Answer:

Division Property of Equality..

Step-by-step explanation:

Answer:

25ml of wallpaper remover

Step-by-step explanation:

(y = amount of wallpaper remover)

4500×4 = 18000

18000:600

750    : y

18000y = 600×750

18000y = 450000

y = 450000÷18000

y = 25