Someone please help me I’ll give out brainliest please dont answer if you don’t know

The population in 2007 will be 873.

We know that in 1995 the population in a town was 60.

Each year, it increases by 25%, then the population function as a function of x, the time in years, is:

P(x) = 60*(1 + 0.25)^x

The population in 2007 is what we get if we evaluate the function in x = 12 (12 yearsafter 1995) the population will be:

P(12) = 60*(1 + 0.25)^12 = 873

Learn more about population at:

https://brainly.com/question/25630111

#SPJ1

|x - 3| = 3 - 8

|x -3| = -5

x - 3 = -5

x = -2

x-3 = 5

x = 8

x = 8, -2

But if you try and check that these solutions work, you will find that they do not. Since the absolute value equation has a negative value, there is no real solution.

Answer: No Solution

Step-by-step explanation:

|x-3| + 8 = 3

subtract 8 from both sides

|x-3| = -5

There is no real solution since absolute value equation cannot be negative

The coach has 56 options for selecting and ordering one starter and one reserve player for the position.

Probability is a field of mathematics that calculates the likelihood of an experiment occurring. We can know everything from the chance of getting heads or tails in a coin to the possibility of inaccuracy in study by using probability.

The soccer coach wants to choose one starter and one reserve player from a group of 8 players.

First, the coach can choose the starter from the 8 players in 8 ways.

After the starter has been chosen, there are 7 players left to choose from for the reserve position. Thus, the reserve player can be chosen in 7 ways.

Since the order in which the players are chosen matters, there are 8 x 7 = 56 ways to choose and order one starter and one reserve player from a group of 8 players.

Therefore, the coach has 56 possible ways to choose and order one starter and one reserve player for the position.

Learn more about probability on:

https://brainly.com/question/13604758

#SPJ11

(a) The expressiοn that represents amοunt οf canned fοοd cοllected by  the three friends =  5x² + 5xy - 9

(b) the expressiοn that represents number οf cans which are still need tο cοllect is = 3x² - 9xy + 17

An expressiοn is a way οf writing a statement with mοre than twο variables οr numbers with οperatiοns such as additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Example: 2 + 3x + 4y = 7 is an expressiοn.

It is given that,

number οf cans cοllected by Jessa = 5xy + 17

number οf cans cοllected by Tyree = x²

number οf cans cοllected by Ben = 4x² - 8  

Part(a)

tοtal number οf cans cοllected by three friends = cans cοllected by Jessa + Tyree + Ben

= 5xy + 17 + x² + 4x² - 8

= 5x² + 5xy - 9

Part(b)

the gοal οf fοοd cans cοllected = 8x² − 4xy + 8

Sο, the number οf fοοd cans still left tο cοllect = gοal - (number οf cans cοllected)

= (8x² − 4xy + 8) - (5x² + 5xy - 9)

= 8x² - 5x² - 4xy − 5xy + 8 + 9

= 3x² - 9xy + 17

Therefοre,

(a) The expressiοn that represents amοunt οf canned fοοd cοllected by the three friends = 5x² + 5xy - 9

(b) the expressiοn that represents number οf cans which are still need tο cοllect is = 3x² - 9xy + 17

Learn more about Expressions here

brainly.com/question/28987492

#SPJ1

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

We know 10% is also equal to 0.1, and 0.1 * 74 = 7.4 . This means that statement is true.

Answer:

b , c , d

Step-by-step explanation:

Answer:

The answer is B, C, and E.

Hope this helps!!! Love you!!

Step-by-step explanation:

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer:

$147

Step-by-step explanation:

Let's set up two ratios...

273:13

x:7

Simplify the first ratio by dividing both numbers by 13...

21:1

x:7

We know that 1*7 is 7 so we can multiply 21 by 7 to get x

21*7=147

x=$147

Based on the numbers that Joe selected, the people selected were D) Alan, Eugene, Martin, Sam.

The 17th person was selected and if we assigned numbers from 1 to 20 to the alphabetized list, we would find that number 17 is Sam.

The 5th person is Eugene and the 1st person is Alan. The 12th person is Nathan.

In conclusion, option D is correct.

Find out more on using random numbers at https://brainly.com/question/24466382.

#SPJ1

\(\frac{18}{80}\) is the probability of pupil that uses the swimming pool but not the gym.

It is given that:

Total students are 80

32 pupils use the swimming pool

43 pupils use the gym

19 pupils use neither the swimming pool nor the gym

To know the pupils who use both add 32+43 = 75

75-61= 14 pupils use both

32-14 = 18 pupils use only the swimming pool

43-18= 29 pupils use only the gym

Hence, \(\frac{18}{80}\) is the probability of pupil that uses the swimming pool but not the gym.

To know more about probability visit: https://brainly.com/question/13604758

#SPJ4

Answer:

55.1

Step-by-step explanation:

solo se multiplica

1.90*29 =55.1

The number of Dimes are 28 and there is one nickel.

Two or more expressions with an Equal sign is called as Equation.

$1.90 in dimes and nickels.

Total of 29 dimes and nickels

We form equations by given data

0.1D+0.05N=1.9...(1)

D+N=29..(2)

D=29-N

Substitute value of D in equation 1.

0.1(29-N)+0.05N=1.9

2.9-0.1N=1.9

2.8N=1.9

Divide both sides by 2.8

N=0.678

Now substitute N value in 2.

D+0.678=29

substitute 0.678 from both sides

D=29-0.678

D=28.322=28

Hence, the number of Dimes are 28 and there is one nickel.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

a) The time required to assemble the 8th unit is 0.876 hours.

b) The total time required to assemble the last 5 units is 1.752 hours

(a) the time required to assemble the 8th unit.

To solve this, we can first find the time required to assemble 7 units and then subtract it from the time required to assemble 8 units.

Time required to assemble the first unit = 3 hours

Given, the time required to assemble the 6th unit = 1 hour and 23 minutes = 1 + 23/60 hours = 1.383 hours

Average time required to assemble 1 unhours production= [(time required to assemble the first unit) + (time required to assemble the sixth unit)]/5= [(3) + (1.383)]/5= 0.876 hours

Time required to assemble 7 units= 7 × 0.876= 6.132 hours

Now, time required to assemble the 8th unit= Time required to assemble 8 units - Time required to assemble 7 units= 8 × 0.876 - 6.132= 7.008 - 6.132= 0.876 hours

(b) the total time required to assemble the last 5 units.

We have already calculated the time required to assemble the first 6 units.

Time required to assemble the first 6 units= 6 × 0.876= 5.256 hours

Now, the total time required to assemble the last 5 units= Time required to assemble 8 units - Time required to assemble the first 6 units= 8 × 0.876 - 5.256= 7.008 - 5.256= 1.752 hours

Learn more about time required at

https://brainly.com/question/4130932?

#SPJ11

Answer:

52 m

Step-by-step explanation:

(a^2) + (b^2) = (c^2)

(39^2) + (b^2) = (65^2)

(39^2) + (b^2) = (65^2)

1521 + (b^2) = 4225

(b^2) = 2704

b = 52

Answer:

use Pythagoras   theorem  to solve this

\(C^{2}\)= \(A^{2}\)+\(B^{2}\)

C is always the hypotenuse of a triangle  

Step-by-step explanation:

\(65^{2}\) = \(39^{2}\) +\(B^{2}\)

my calculator tells me that..

4225 =1521 +\(B^{2}\)

2704 = \(B^{2}\)

\(\sqrt{2704}\) = B

52=B  

nice .. it worked out to a nice whole number

Step-by-step explanation:

the perimeter is easy.

it is an isoceles triangle, that means both sides are equally long (10 units).

the length of the baseline we can read directly off the coordinates of P and Q.

both are on the same horizontal grid line y = 1. so, the difference in x is their distance : 8 - -8 = 8+8 = 16

so, the perimeter is 10 + 10 + 16 = 36 units.

now, for k :

k is the height of the triangle + 1 (as the baseline is at y=1 and not at 0).

we can get the height by using Pythagoras :

c² = a² + b²

c is the Hypotenuse (the baseline) of the dude opposite of the 90° angle.

the triangle we use for this is

PR, half of PQ and the height of the main triangle, with PR being the Hypotenuse.

so,

10² = (16/2)² + height² = 8² + height²

height² = 10² - 8² = 100 - 64 = 36

height = 6

therefore, k = 6 + 1 = 7

Answer:

each group will have 7 students in it.

Step-by-step explanation:

Ms. Higgins has 28 students in her gym class and wants to put them in 4 equal groups.

divide the total number of students by the number of groups.

28 students / 4 groups = 7 students per group.

So, each group will have 7 students in it.

Answer:

8

Step-by-step explanation:

Billy started with 15 apples.

Lost 2, and another 5, In total 7 apples were taken.

" Lost " Indicates subtraction.

The equation would look like this: 15 - 7.

Subtract.

Hence, your answer should be 8.

Hopes this helps!

Have a good day :).

Answer: 8

Step-by-step explanation: 15 - 2 = 13 and 13 - 5 = 8.

A point inside the production possibilities curve is attainable, while a point outside the curve is unattainable.


1. The production possibilities curve represents the maximum possible production levels of two goods or services.
2. Points inside the curve indicate combinations of goods or services that can be produced using available resources efficiently.
3. Points outside the curve are unattainable because they require more resources than are currently available.
In summary, a point inside the production possibilities curve is attainable, while a point outside the curve is unattainable.

To learn more about possible production

https://brainly.com/question/27833900

#SPJ11

Answer:

D

Step-by-step explanation:

\(2x^2+16x-8=0\)

Simplify:

\(x^2+8x=4\)

Rewrite in the form \((x+a)^2=b\):

\(x^2+8x=4\)

Add \(4^2\) to both sides:

\(x^2+8x+4^2=4+4^2\)

\(x^2+8x+4^2=20\)

\(\left(x+4\right)^2=20\)

\(x+4=\sqrt{20}\) or \(x+4=-\sqrt{20}\)

x = -4±\(\sqrt{20}\)

x= -4±\(2\sqrt{5}\)

Answer:

Hi there

Your answer is

No solution

Step-by-step explanation:

x+1/2 = x-1/2

-x

1/2 = -1/2

this is NO SOLUTION

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2.

b = 1, ≥

From the diagram, the solution to the inequality is x ≥ 1 and x ≤ -3

Hence:

|x + b| ≥ 2

x + b ≥ 2 or -(x + b) ≥ 2

x ≥ 2 - b or x ≤ -2 - b

2 - b = 1 and -2 - b = -3

b = 1

Hence |x + 1| ≥ 2

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥

Find out more on inequality at: brainly.com/question/24372553

#SPJ1

The specific name of the quadrilateral is kite

The measures of the missing angles are 75 degrees each

To determine the measure of the angle, we need to know the different properties of a kite.

The properties of a kite includes;

Since the adjacent angles are equal, we have that;

105+ x = 180

collect the like terms, we have;

x = 180 - 105

x = 75 degrees

Learn more about kites at: https://brainly.com/question/20597161

#SPJ1

The quadrilateral is a kite and the missing angles are 105° and 45°

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

A kite has a pair of equal angle and the diagonals of a kite meets at 90°.

In a kite , there are two pairs of congruent or equal sides.

This means that the missing angles are

The opposite angle to 105 is also 105°

The fourth angle is calculated as;

105+105+105+x = 360

= 315 +x = 360

x = 360- 315

x = 45°

Therefore the quadrilateral is a kite and the missing angles are 105° and 45°

learn more about kite from

https://brainly.com/question/26870235

#SPJ1

Answer:

B. 4.09 cm²

Step-by-step explanation:

Let point O be the center of the circle.

As the center of the circle is the midpoint of the diameter, place point O midway between P and R.

Therefore, line segments OP and OQ are the radii of the circle.

As the radius (r) of a circle is half its diameter, r = OP = OQ = 5 cm.

As OP = OQ, triangle POQ is an isosceles triangle, where its apex angle is the central angle θ.

To calculate the shaded area, we need to subtract the area of the isosceles triangle POQ from the area of the sector of the circle POQ.

To do this, we first need to find the measure of angle θ by using the chord length formula:

\(\boxed{\begin{minipage}{5.8 cm}\underline{Chord length formula}\\\\Chord length $=2r\sin\left(\dfrac{\theta}{2}\right)$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the central angle.\\\end{minipage}}\)

Given the radius is 5 cm and the chord length PQ is 6 cm.

\(\begin{aligned}\textsf{Chord length}&=2r\sin\left(\dfrac{\theta}{2}\right)\\\\\implies 6&=2(5)\sin \left(\dfrac{\theta}{2}\right)\\\\6&=10\sin \left(\dfrac{\theta}{2}\right)\\\\\dfrac{3}{5}&=\sin \left(\dfrac{\theta}{2}\right)\\\\\dfrac{\theta}{2}&=\sin^{-1} \left(\dfrac{3}{5}\right)\\\\\theta&=2\sin^{-1} \left(\dfrac{3}{5}\right)\\\\\theta&=73.73979529...^{\circ}\end{aligned}\)

Therefore, the measure of angle θ is 73.73979529...°.

Next, we need to find the area of the sector POQ.

To do this, use the formula for the area of a sector.

\(\boxed{\begin{minipage}{6.4 cm}\underline{Area of a sector}\\\\$A=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in degrees.\\\end{minipage}}\)

Substitute θ = 73.73979529...° and r = 5 into the formula:

\(\begin{aligned}\textsf{Area of section $POQ$}&=\left(\dfrac{73.73979529...^{\circ}}{360^{\circ}}\right) \pi (5)^2\\\\&=0.20483... \cdot 25\pi\\\\&=16.0875277...\; \sf cm^2\end{aligned}\)

Therefore, the area of sector POQ is 16.0875277... cm².

Now we need to find the area of the isosceles triangle POQ.

To do this, we can use the area of an isosceles triangle formula.

\(\boxed{\begin{minipage}{6.7 cm}\underline{Area of an isosceles triangle}\\\\$A=\dfrac{1}{2}b\sqrt{a^2-\dfrac{b^2}{4}}$\\\\where:\\ \phantom{ww}$\bullet$ $a$ is the leg (congruent sides). \\ \phantom{ww}$\bullet$ $b$ is the base (side opposite the apex).\\\end{minipage}}\)

The base of triangle POQ is the chord, so b = 6 cm.

The legs are the radii of the circle, so a = 5 cm.

Substitute these values into the formula:

\(\begin{aligned}\textsf{Area of $\triangle POQ$}&=\dfrac{1}{2}(6)\sqrt{5^2-\dfrac{6^2}{4}}\\\\ &=3\sqrt{25-9}\\\\&=3\sqrt{16}\\\\&=3\cdot 4\\\\&=12\; \sf cm^2\end{aligned}\)

So the area of the isosceles triangle POQ is 12 cm².

Finally, to calculate the shaded area, subtract the area of the isosceles triangle from the area of the sector:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Area of sector $POQ$}-\textsf{Area of $\triangle POQ$}\\\\&=16.0875277...-12\\\\&=4.0875277...\\\\&=4.09\; \sf cm^2\end{aligned}\)

Therefore, the area of the shaded region is 4.09 cm².

As the standard deviation for Sample Values and Population are different. The sample Standard Deviation is 5.196

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

Formula for standard deviation calculation is:

\(\sigma = \sqrt {\sum \frac {(X - \mu) ^ {2}}{N}}\) (Population Standard Deviation)

\(s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}}\) (Sample Standard Deviation)

\(\bar x= 19.1\)

\(\sum {(X - \bar x) ^ {2}} = 162\)

\(n-1 = 6\)

\(s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}} = \sqrt {\frac {162}{6}}\)

\(s= \sqrt 27\)

\(s= 5.196\)

To learn more about Sample Standard Deviation visit:

https://brainly.com/question/24277447

#SPJ4

Answer: 45:18 & 35:10, B & C

Step-by-step explanation:

In the question, it says a student-to-teacher ratio so that would eliminate A. Then you would divide each answer by 5 and 2 and see if it is divisible.

For Example:

45/5 and 18/2 you would get 9 and 9

35/5 and 10/2 you would get 7 and 5

10/5 and 7/2 you would get 2 and a decimal/fraction meaning it is not equivalent

So your answers would be B & C

Answer:

it would be 85

I hope this helps!

Answer:85,79,73

I step-by-step explaition

The number given-6=x

No, it is not possible to have a simple graph with n vertices, where n is any integer greater than or equal to 5, such that all vertices have different degrees.

In a simple graph, the degree of a vertex refers to the number of edges connected to that vertex. The maximum degree possible in a graph with n vertices is (n-1), which occurs when one vertex is connected to all other vertices.

To create a graph where all vertices have different degrees, we would need to assign a unique degree to each vertex. However, if n is greater than or equal to 5, we cannot assign n unique degrees to n vertices while satisfying the conditions of a simple graph.

To see why, consider the case of n = 5. We need to assign degrees 1, 2, 3, 4, and 5 to the vertices.

The vertex with degree 5 must be connected to all other vertices, leaving us with four remaining degrees (1, 2, 3, and 4) to assign to the remaining four vertices. However, no matter how we distribute these degrees, at least two vertices will have the same degree.

This argument can be extended to any value of n greater than 5. Therefore, it is not possible to construct a simple graph with n vertices where all vertices have different degrees for any integer n ≥ 5.

To know more about simple graph refer here:
https://brainly.com/question/33247524#

#SPJ11

The rate of  VAT is 10%.

In the question, we are asked to find the VAT rate, given that the market price of an article is Rs. 10000, the rate of discount and the rate of VAT are equal, and the price after VAT is Rs. 9900.

We assume the rate of discount and the rate of VAT to be r%.

Thus, discount = r% of Rs. 10000 = Rs. r/100 * 10000 = Rs. 100r.

Thus, the price after discount = Rs. 10000 - 100r = Rs. 100(100 - r)

Then, VAT = r% of (Rs. 100(100 - r)) = Rs. r/100 * 100(100 - r) = Rs. r(100 - r).

Thus, the price after VAT = Rs. 100(100 - r) + Rs. r(100 - r) = Rs. (100 + r)(100 - r).

The price after VAT is given to be Rs. 9900.

Thus, (100 + r)(100 - r) = 9900,

or, 100² - r² = 9900,

or, r² = 100² - 9900,

or, r² = 10000 - 9900 = 100,

or, r = ±√100 = ±10.

Since r is the rate of VAT, it cannot be negative, making r = 10.

Thus, the rate of  VAT is 10%.

Learn more about VAT at

https://brainly.com/question/17207021

#SPJ1

The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

Given information-

The price of the tickets for the basketball game for adults is $4.00.

The price of the tickets for the basketball game for students is $2.50.

Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.

Let the total tickets purchased by the students is x and the total tickets porches by the adults is y.

As the total tickets sold for the game is $320. Thus,

\(\begin{aligned}\\ x+y&=320\\ y&=320-x\\ \end\)                    .......1

Now as the total money with ticket selling is $1100. Thus,

\(2.5x+4y=110\)

Keep the value of u from the equation 1 in the above equation. We get,

\(\begin{aligned} 2.5x+4(320-x)&=1100\\ 2.5x+1280-4x&=1100\\ -1.5x&=1100-1280\\ -1.5x&=-180\\ x&=\dfrac{180}{1.5} \\ x&=120\\ \end\)

Thus the number of tickets sold to the student are 120.

Keep this value in equation 1,

\(y=320-x\\ y=320-120\\ y=200\)

Thus the number of tickets sold to the adults are 200.

Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

https://brainly.com/question/787279

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

Read more about Line of best fit at; https://brainly.com/question/1441182

#SPJ1

Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up