A group of 10 science club students is on a field trip. That number of students represent 20% of the total number of students in the science club. What is the total number of students in the science club?

A 20
B 30
C 50
D 80

The rent of the apartment during the 9th year of living in the apartment is $362

It should be noted that based on the information given, the person rent an apartment that costs $1600 per month during the first year, but the rent is set to go up 9.5% per year.

This will be:

= $1600 × (1 + 9.5%)^9

= $1600 × 1.095^9

= $1600 × 2.2632

= $3620

The rent is $3620.

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Answer:

[tex]529\pi[/tex] cm²

Step-by-step explanation:

[tex]d=46 \implies r=23 \\ \\ A=\pi r^2=\pi (23^2)=529\pi[/tex]

The gradient of the vector field F(x , y , z) = ⟨−7y , −7x , 9z⟩ be

F'(x , y , z) = < 0 , 0 , 9 > i.e. F'(x , y , z) = 9k.

Given, a vector field F(x , y , z) = <-7y , -7x , 9z>.

we have to find the gradient of the vector field F = ∇V.

Also, the function V satisfies the condition V(0 , 0 , 0).

As, we know to find the gradient of the vector field F(x , y , z) we differentiate the vector field or differentiate the vector field partially.

F(x , y , z) = <-7y , -7x , 9z>

F(x , y , z) = -7yi - 7xj + 9zk

On differentiating, we get

F'(x , y , z) = <d(-7y)/dx , d(-7x)/dy , d(9z)/dz>

F'(x , y , z) = < 0 , 0 , 9 >

F'(x , y , z) = 9k

So, the gradient of the vector field F(x , y , z) be, 9k

Hence, the gradient of the vector field F(x , y , z) be

F'(x , y , z) = < 0 , 0 , 9 >

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The equation for the line in slope-intercept form y=-4x+5

1. We will, first of all, Determine the slope by counting down and over from one place to another. Let's start at (-2,13) and work our way down (0,5)

If at all you are concerned about miscounting, you can use the slope formula, which is y2-y1/x2-x1.

5-13/0--2 \s = -8/2

The gradient is -4.

2. Determine where the line intersects the y-axis to obtain the y-intercept. It crosses it at 5 here.

3. Write the equation in slope-intercept form, y=mx+b, where mx is the slope and b is the y-intercept.

y=-4x+5

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Answer:

minor arc KM = 60°

Step-by-step explanation:

the measure of an arc is equal to the measure of the central angle that subtends it , then

arc KM = ∠ KLM = 60°

By using $9,455 dollars we can get 151 bags of chips and $7,600 dollars we can get 122 bags of chips and 16000 bags for $1,000,000 dollars.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that you can buy 2 bags of chips for $125.

We need to find how many bags of chips we can get by $9,455 dollars,

$7,600 dollars and $1,000,000 dollars.

2/125=x/9455

Apply cross multiplication

2×9455=125x

18900=125x

Divide both sides by 125

x=151

So 151 bags we can get by using $9,455 dollars.

Now for $7,600 dollars.

2/125=x/7,600

2(7600)=125x

15200=125x

x=121.6 =122

So 122 bags we can get by using $7,600 dollars.

Now for $1,000,000

2/125=x/1,000,000

2000000=125x

Divide both sides by 125

16000=x

16000  bags for $1,000,000

Hence, 151 bags we can get by using $9,455 dollars, 122 bags we can get by using $7,600 dollars and 16000  bags for $1,000,000

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a. To find the value of the home in the year 2000, we need to find how many 16-year intervals have passed between 1992 and 2000. Since 2000 is 8 years after 1992, we have that $\frac{8}{16} = \frac{1}{2}$ 16-year intervals have passed. This means that the value of the home has doubled once since 1992, so it is now worth $136,500 * 2 = $273,000.

b. The growth in housing value as a function of time in t years since 1992 can be represented by the equation $V(t) = 136,500 * 2^{\frac{t}{16}}$, where $V(t)$ is the value of the home in t years after 1992 and 2 is the factor by which the value has doubled every 16 years.

c. The growth in housing value as a function of time in d decades since 1992 can be represented by the equation $V(d) = 136,500 * 2^{\frac{d * 10}{16}}$, where $V(d)$ is the value of the home in d decades after 1992 and 2 is the factor by which the value has doubled every 16 years.

d. To find the value of the home 1.5 decades after 1992, we can use the equation $V(d) = 136,500 * 2^{\frac{d * 10}{16}}$. Plugging in $d = 1.5$, we get $V(1.5) = 136,500 * 2^{\frac{1.5 * 10}{16}} = 136,500 * 2^{0.9375} = $351,284.375.

Answer:

20T+12L[tex]\geq[/tex]200

T+L[tex]\leq[/tex]18

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

4-8/2-5

-4/-3

4/3

hopes this helps

Answer: 4/3 is the slope

The value of the variable 'x' is less than 3 and the value of the variable 'r' is greater than negative 5.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequalities are given below.

-2r < 10 and -6 < -2x

The value of the variable 'r' is given as,

-2r < 10

2r > -10

r > - 10/2

r > - 5

The value of the variable 'x' is given as,

-6 < -2x

2x < 6

x < 6 / 2

x < 3

The value of the variable 'x' is less than 3 and the value of the variable 'r' is greater than negative 5.

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Answer:

A fraction bar separates the numerator and denominator of a fraction. It indicates that a division of the numerator by the denominator will be performed.

Step-by-step explanation:

In math, a fraction bar can be defined as a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions. Fraction bars or fraction strips are a part-to-whole representational model. Each part of a fraction bar represents one unit out of a whole.

Answer:To separate the top and bottom numbers.

Step-by-step explanation:In math, a fraction bar can be defined as a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.

The mentioned data of 50 kilometres in hours is speed of 50 kilometres per hour.

The 50 kilometres refere to the distance and hour is representative of time. Now, ratio of distance and time indicates the speed or rate of movement of the concerned thing.

The speed or rate of movement holds significance in real world calculations. Based on it, the speed of bucket carrying water from well can be increased or decreased, movement of vehicles which may cause accident, distance covered by trains, airplanes, ships and other transport objects by specific speed in particular time limit.

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Answer:

1/w^4

Step-by-step explanation:

Answer:

Step-by-step explanation:

15% of 3,000 is 450

Answer:

-4

Step-by-step explanation:

First find the slope of the original line

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\\frac{1-0}{4-0} \\\frac{1}{4}[/tex]

Slope = 1/4

Then take it's negative reciprocal to get the slope of the perpendicular line by dividing 1 by the slope and then changing the sign

-4  

The area of the given polygon is 30 square units.

The area of a triangle can be calculated using the formula 1/2[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)] where (x₁, y₁), (x₂, y₂) and (x₃, y₃) are the coordinates of its vertices. This formula is also useful in finding the area of any polygon with given coordinates.

The area of the given polygon can be calculated by the expression of the area of triangle as 1/2[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)].

The given polygon can be divided into two ΔABC and  ΔACD,

Then, the area is given as follows,

Area of ΔABC +  Area of ΔACD

= 1/2|[-3(4 - 1) + -3(1 - 1) + 7(1  - 4)]| + 1/2|[-3(1 - 4) + 7(4 - 1) + 7(1 - 1)]|

= 1/2 × 30 + 1/2 × 30

= 30

Hence, the area of the given polygon is 30 square units.

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Answer:

x = 3.

Step-by-step explanation:

To solve this equation, we first need to get all the terms containing the variable x on one side of the equation and all the constants on the other side. We can do this by adding 8 to both sides of the equation. This will give us:

$$-(7x-8) + 8 = 2-5x + 8$$

Next, we can simplify the left side of the equation by combining the two terms:

$$-7x + 8 + 8 = 2-5x + 8$$

This gives us:

$$-7x + 16 = 2-5x + 8$$

Now, we need to get all the x terms on one side and all the constants on the other side. We can do this by adding 5x to both sides of the equation:

$$-7x + 16 + 5x = 2-5x + 8 + 5x$$

This gives us:

$$-2x + 16 = 2 + 8$$

We can simplify the left side of the equation by combining the two terms:

$$-2x + 16 = 10$$

Now, we need to get all the x terms on one side and all the constants on the other side. We can do this by subtracting 16 from both sides of the equation:

$$-2x + 16 - 16 = 10 - 16$$

This gives us:

$$-2x = -6$$

To solve for x, we need to divide both sides of the equation by -2:

$$\frac{-2x}{-2} = \frac{-6}{-2}$$

This gives us:

$$x = 3$$

Therefore, the solution to the original equation is x = 3.

Answer: A song costs 0.99$, and an album 9.99$

Step-by-step explanation:

14.94=5x+1y

22.95=3x+2y

29.88=10x+2y

22.95=3x+2y

subtract

6.93=7x

x=0.99$

y=9.99

Answer:

Step-by-step explanation:

Slope is "rise over run" or change is y values divided by change in x values

the change is x values is zero. 8-8=0. Anything divided by zero is infinity.

the slope is infinite. The line connecting the 2 points is a vertical line, x=8.

Vertical lines have infinite slope.

Answer:

angle L= 55 degrees

Angle Lmk= 62 degrees

Step-by-step explanation:

we will find Lmk first by subtracting 118 by 180
180-118

62

Now the sum of all the three angles of any triangle equal 180

so we can set all these angles equal to find x

(6x-9)+(4x+7)+62=180

10x-2+62=180

10x+60=180

     -60. -60

10x=120

/10.  /10

x=12

4(12)+7

48+7

55

Hopes this helps have a wonderful day

1760 ft² area will be covered with 11 gallons of paint.

When two quantities are related in a linear relationship, then that arrangement is said to be in proportion.

Given that, a proportional relationship between gallons of paint and the area of the set.

The relation is :-

x (gallon of pain)  y (area)

2.5                            400

4                                640

7.5                             1200

11                                 ?

Establishing the proportion,

Area covered in 1 gallon =

400/2.5 = 640/4 = 1200/7.5 = 160 ft²

That means, in 1 gallon, there will be 160 ft² area covered.

Therefore, in 11 gallons = 160×11 = 1760 ft²

Hence, in 11 gallons, 1760 ft² area is being covered.

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Both equations are satisfying by substituting (5, 0) in the system of inequalities.

What is a system of inequalities?

"A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system."

Given

System of inequalities graphed equation

y ≤ 2x + 2.................(1)

y ≥ -5x + 4................(2)

Substituting the point (5, 0) in equations 1 and 2

y ≤ 2x + 2

⇒ 0 ≤ 2(5) + 2

⇒ 0 ≤ 27

It is true

y ≥ -5x + 4

⇒ 0 ≥ -5(5) + 4

⇒ 0 ≥ -25 + 4

⇒ 0 ≥ -21

It is also true

In this option, Both equations are satisfying by substituting (5, 0)

Both equations are not satisfying by substituting (0, 5)

Hence, Both equations are satisfying by substituting (5, 0) in the system of inequalities given.

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The time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days

What is decay constant?

Decay constant k = ln(2) / half life

= ln(2) / 27.8

= 0.024933 day⁻¹

For first order decay:

ln(M / M₀)  = -kt

where M is mass remaining at time t and  M₀ is initial mass.

ln(0.700/5/75) = -0.024933 * t

Time, t = 99.4 days

Hence, time is required for a 5.75 mg sample of 51cr to decay to 0.700 mg is 99.4 days.

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Answer:

x= -2

Step-by-step explanation:

5x+1/3=1/3x-9

-1/3x.      -1/3x

4 2/3x+1/3= -9

           -1/3.  -1/3

4 2/3x= -9 1/3

14/3x= -28/3

/14/3.    /14/3

x= -28/3*3/14

x= -84/42

x= -2

hopes this helps please mark brainliest

Answer:

x = -2

Step-by-step explanation:

5x + 1/3 = 1/3x - 9

5x - 1/3x + 1/3 = -9

5x * 3                           15x

       --               >           --              (remember -> 5x is the same as 5/1x)

       3                            3

15x/3 - 1/3x + 1/3 = -9

14x/3 + 1/3 = -9

14x+1/3       = -9              (14x + 1 is ALL over 3)

Now multiply by 3 on both sides to cancel out the denominator since 3 is the denominator.

14x + 1 = -27

14x = -28

(divide by 14 to both sides)

x = -2

A) Reject H0 if F > 5.417.

B) We conclude that the average number of months before a raise was granted varied between the four CPA firms at the 0.05 level of significance but are unable to rule out the null hypothesis.

Given,

a) According to the table, the values for df1 and df2 are 3 and 15, respectively. Furthermore, a significance cutoff of = 0.01 is offered.

An additional f-value of 1.75 is given.

Given the significance level of = 0.01 and the corresponding values of df1 and df2 from the f-distribution table, we have;

F-critical 5.417

Normally, we reject H0 if F > 5.417.

We conclude that we do not rule out H0 at the 0.01 level of significance in this case because F is 1.75 5.417.

b) Using the values of df1 = 3 and df2 = 15 for 0.05 level of significance from the second linked table, we have

F-critical has a value of 3.2874.

The f-value is once more less than this significant one.

As a result, we cannot conclude that the average number of months until a raise was granted varied among the four CPA companies at the 0.05 level of significance and reject the null hypothesis.

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Answer:

e

Step-by-step explanation:

Answer: 2x

Step-by-step explanation:

Answer: 72 cm

Step-by-step explanation:

78 is the hypotenuse, so that it will be the c

30^2 + b^2 = 78^2

900 + b^2 = 6084

b^2 = 5184

b= 72cm