express 9214 in standard form​

Answer:

15

Step-by-step explanation:

1 is neither prime nor composite

2 is the smallest prime

3 is the next smallest prime

5 is the next smallest

but 2,3,5 do not make a triangle

The third side must be smaller than the sum of the other two

2+3 <5 not equal to

7 is the next prime

3,5,7 are the three sides of the triangle

P = 3+5+7

P = 15

Answer:

Option (A)

Step-by-step explanation:

From the graph attached,

y ≤ [tex]-\frac{1}{3}x+3[/tex]

This inequality representing the dark line having y-intercept as 3 will have the solution area represented by the shaded region below the line (b and C)

Another inequality, y ≥ 3x + 2 representing a dark line having y intercept 2.

This inequality will have the solution area represented by shaded region on the left of the line (A and D)

Therefore, solution to the system of inequalities will be the common area (D).

Option (A) will be the answer.

Answer:

$1,750,000

Step-by-step explanation:

The company did $2,000,000 in annual maintenance in 2013 and expects 80% of those to renew for 2014.

That will result in annual maintenance of:

(80 / 100) * 2000000 = $1,600,000

The product sales for 2013 were 2,000,000 (which include free maintenance in 2013) and 75% of those were expected to pay annual maintenance of 10% of the purchase price in 2014.

That will result in annual maintenance of:

(75 / 100) * (10 / 100) * 2000000 = $150,000

Therefore, the total annual maintenance will be:

$1600000 + $150000 = $1,750,000

Answer:

Median=3, Mean=2.333

Step-by-step explanation:

Answer:

44+50 =94 in²

Step-by-step explanation:

Trapezoid

A= 1/2h(b1+b2)

A= 1/2*4(7+15)

A=1/2*4(22)

A=44

Rectangle

A=l*w

A=5*10

A=50

44+50 =94 in²

Answer:

[tex]x = \frac{3y - 2}{4} [/tex]

Multiply through by 4

We have

[tex]3y - 2 = 4x[/tex]

Send 2 to the right side of the expression

That's

[tex]3y = 4x + 2[/tex]

Divide both sides by 3

That's

[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]

We have the final answer as

[tex] y = \frac{4x + 2}{3} [/tex]

Hope this helps you

Answer:

[tex]y = \frac{4x + 2}{3} [/tex]

Step by step explanation

[tex]x = \frac{3y - 2}{4} [/tex](Given)

Multiply by 4 on both sides:

[tex]4 \times x = \frac{3y - 2}{4} \times 4[/tex]

Calculate

[tex]4x = 3y - 2[/tex]

Add 2 on both sides

[tex]4x + 2 = 3y - 2 + 2[/tex]

[tex]4x + 2 = 3y[/tex]

[tex]3y = 4x + 2[/tex]

Divide both sides of the equation by 3

[tex] \frac{3y}{3} = \frac{4x + 2}{3} [/tex]

Calculate

[tex]y = \frac{4x + 2}{3} [/tex]

Hope this helps...

Good luck on your assignment..

Formala : Times bottom row with side row with the height.

Example: A box has the same length, width, and height as two tennis balls.

Times the bottom row with side row with the height.

Answer:

Step-by-step explanation:

It increase by 2.3

In addition to the question, the following conditions must be met:

(1) M > 100

(2) more than 130 employees participate in the voluntary equity program

Answer:

Value of A is 200

Step-by-step explanation:

In this scenario when we divide 100 by the percentage of each employee category we will get a proportion that the number of employees must obey.

This is illustrated below:

For Beta employees 100/25= 4

So the number of employees that are Beta must be divisible by 4

For Standard employees 100/17 = 5.882

Since fractions of employees cannot be obtained, in this case the number of employees must be a multiple of 100

Total employees are 600

The various combinations are:

1. Beta employees 500 and Standard employees 100

Survey participants= (0.25 * 500) + (0.17 * 100) = 142

Number of participants is okay as it is >130 but does not satisfy Standard employees being >100

2. Beta employees are 300 and Standard employees are 300

Survey participants = (0.25 * 300) + (0.17 * 300) = 126

This does not satisfy condition of survey participants >130

3. Beta employees 400 and Standard employees 200

Survey participants = (0.25 * 400) + (0.17 * 200) = 134

This satisfies conditions of >130 survey participants and Standard employees >100

So correct value of S is 200

Answer:

Geometric sequences are the long way to show an exponential function. The initial amount in both exponential functions and geometric sequences do the same thing, which is state the initial value and the value by which it is multiplied. What is called the common ratio in a geometric sequence is basically the second part of what the initial amount does in an exponential function. The nth term in a geometric sequence is the same as the power in an exponential function, that is to say that it shows how many times the sequence is repeated.

Step-by-step explanation:

Answer:

$50 per ticket.

Step-by-step explanation:

Although it is tempting to keep raising the price for a higher profit, if you raise the price by too much, people will stop buying tickets and you will not gain as much money as you could have gotten with, say, $50 per plate.

The more you raise the price, the less tickets you can sell.

Hope this helps!

Answer:

7x + 10

Step-by-step explanation:

10 + 8x - 1x ​

Add or subtract like terms.

10 + (8 - 1)x

10 + (7)x

Rearrange.

7x + 10

Answer:

7x+10

Step-by-step explanation:

start by rewriting the problem

10+8x-1x

now, you can subtract 8x from 1x, because they are like terms

10+7x

arrange the terms

7x+10

now, that is your final answer!

Answer:

45 + 35x

Step-by-step explanation:

To simplify

multiply the outside number by the inside

also, the negative and the negative multiply together to make a positive number.

Answer:

35x + 45

Step-by-step explanation:

-5(-9 - 7x)

Distribute or expand the brackets.

-5(-9) - 5 (-7x)

45 + 35x

The reason why I'm not entirely sure is because of a potential typo. See below.

Let's go through each answer choice

------------

Choice A

Solve each inequality for x

x+1 < -1 becomes x < -2 after subtracting 1 from both sides

x+1 < 1 becomes x < 0 after subtracting 1 from both sides

We have {x < -2} intersected with {x < 0}. The overlap is x < -2. I recommend using a number line diagram to see how the overlap is working. Basically we're looking for numbers that are both less than -2 AND also less than 0. That simplifies to numbers less than -2 (as anything less than -2 is already smaller than 0).

A number like x = -10 is in the solution set of {x < -2}, but we just wanted 0 and only 0 to be in the solution set. So we can rule out choice A.

------------

Choice B

Solve each for x

x+1 = 1 becomes x = 0

x+1 > 1 becomes x > 0

This is a contradiction as we're talking about numbers that are 0 itself and larger than 0 at the same time. No such number exists. Effectively, these two sets cannot be combined to make anything meaningful. In other words, the solution set here is the empty set. For this reason, we can rule out choice B

------------

Choice C

Again we solve each for x

x+1 < 1 becomes x < 0

x+1 > 1 becomes x > 0

This is also the empty set because there are no numbers both smaller than 0 and larger than 0 at the same time.

If we had "or equal to" as part of the inequality sign, then [tex]x+1 \le 1[/tex] solves to [tex]x \le 0[/tex], while [tex]x+1 \ge 1[/tex] solves to [tex]x \ge 0[/tex]. Combining both [tex]x \le 0[/tex] and [tex]x \ge 0[/tex] will yield exactly one item, and that is [tex]x = 0[/tex]

It seems like your teacher meant for this to be the answer and that there is a typo. Of course, its best to ask him/her about this directly.

Answer:

√8 - 2 units and 2 units,

√7 - √5 units and √2 units,

√5 - 1 units and 2 units,

3 - 2 units and √5 units,

Explanation;

To get each hypotenuse length with the leg lengths that will create a right a triangle., we need to use the pythagoras theorem. According to the theorem;

hypotenuse² = opposite² + adjacent²

The given two lengths are the opposite and adjacent sides of the right angled triangle.

For the  triangle with lengths √5 units and √2 units,

hyp² = (√5)² + (√2)²

hyp² = 5+2

hyp = √7 units

For the  triangle with lengths √3 units and 4 units,

hyp² = (√3)² + 4²

hyp² = 3+16

hyp = √19 units

For the  triangle with lengths 2 units and √5 units,

hyp² = (2)² + (√5)²

hyp² = 4+5

hyp = √9 units

hyp = 3 units

For the  triangle with lengths 2 units and 2 units,

hyp² = (2)² + (2)²

hyp² = 4+4

hyp = √8 units

For the  triangle with lengths 1 units and 2 units,

hyp² = (1)² + (2)²

hyp² = 1+4

hyp = √5 units

Answer:

the guy above me is correct

Step-by-step explanation:

he smart

Answer: T

Step-by-step explanation: The vertex is where the two lines meet at the endpoint, meaning that the vertex is always where the lines begin to spread out.

Answer:

The function written in python is as follows

def min(str1,str2):

     if str1 < str2:

           return str1

     else:

           return str2

Step-by-step explanation:

This line defines the function min, along with two parameters str1 and str2

def min(str1,str2):

This line checks if str1 is less than str2

if str1 < str2:

If yes, the function returns str1

 return str1

If otherwise,

else:

The function returns str2

 return str2

Take for instance

str1 = "abc"

str2 = "cba"

The function will return str1 because str1 is less than str2 in the sense that the first letter of str1 (a) is less than the first letter of str2 (c)

Answer:

6

Step-by-step explanation:

The easiest way of solving this is to divide 8% of the number into a % that is divisible by 12.

This is 4%.

So if 8% of the number is 4, then 4 percent is half of 4, that is 2.

Now we convert 4% into 12% thus making it 6

Hope this helps

A more complicated way of doing this, but most reliable is to work out what the number is .

For now let number be y.

8/100 x y = 4

8y/100 = 4

8y= 400

y = 50.

Now calculate 12% of 50.

This is

12/100 x 50 = 6

Hope this helps.

Respuesta:

190 km

Explicación paso a paso:

Lo primero es hacer las equivalencias, sea a el primer tramo, b el segundo tramo, c el tercer tramo y el ultimo tramo, el cuarto sería d, entonces:

a = 2/3*c

b = 2*c

d = a + b

Ahora bien sabemos que d = 80, reemplazamos y nos queda:

80 =  a + b

tanto a cómo b están en función del tercer tramo es decir de c, reemplazamos:

80 = 2/3*c + 2*c

80 = 8/3*c

c = 80*3/8

c = 30

ahora calculamos tanto a como b:

a = 2/3*30 = 20

b = 2*30 = 60

Ahora, el recorrido total es la suma de todos los tramos:

Total = a + b + c + d

Total = 20 + 60 + 30 + 80 = 190

Quiere decir que la distancia entre la ciudad A y la cuidad B es de 190 km

Answer:

top plot

Step-by-step explanation:

From the box and whisker plot, the smallest data point is 0 and the largest data point is 100

The median is 70

The only plot that has points at 0 and 100 is the first plot

No, it is not. This is because there is only one variable, instead of two.

Answer:

NO

Step-by-step explanation:

there are no corresponding points at all only a useless y intercept.

Answer:

The inequalities are;3x+y>2,3y<9,4x+y=2and 3y<2m

Answer:

90º clockwise rotation

Step-by-step explanation:

The rotation is a 270º counterclockwise rotation, since 270º rotation is

(x, y) → (y, -x)

F(1, 3) → (3, -1)

270º counterclockwise rotation is the same as a 90º clockwise rotation, so the answer is 90º clockwise rotation.  

Answer:

(4 root 2)/9

Step-by-step explanation:

Sin=opp/hyp

Sin=root 32/9

4 root 2/9

Answer:

sin theta = 4 sqrt(2) / 9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

We need to find the opposite side using Pythagorean theorem

a^2 + b^2 = c^2

b^2 = c^2 - a^2

b = sqrt( c^2 - a^2)

b = sqrt(9^2 - 7^2) = sqrt(32) = 4 sqrt(2)

sin theta =b/c

sin theta = 4 sqrt(2) / 9

Answer: The game reserve’s investment in the clinic has the power to transform the rural South African community shown in the video. The game reserve is an important source of income for the community. The money from the reserve benefits the community by facilitating the building of infrastructure, such as schools and child-care facilities. These operations in turn generate employment.

The game reserve and the schools require a workforce and human capital. However, the workforce in the rural area is vulnerable to deadly diseases because of the HIV epidemic and poor sanitation. By investing in a mobile clinic and giving free medical treatment to those in the community, the game reserve can nurture its human capital and extend life expectancy in the area. If people are healthy and educated, they can work, be productive, and participate in community development. By protecting the workforce from death and disease, the game reserve can drive economic growth.

Step-by-step explanation:

Answer:

The investment for the game reserve is in the center and has the ability to change the country, South African people group appeared in the video. The game hold is a significant type of revenue for the local area. The cash from the hold benefits the local area by encouraging the structure of framework, for example, schools and kid care offices. These activities thus produce business.  

The game reserve and also schools require a labor force and human resources. Notwithstanding, the labor force in the country territory is defenseless against destructive sicknesses due to the HIV pandemic and helpless disinfection. By putting resources into a portable facility and giving free clinical treatment to those locally, the game hold can support its human resources and broaden future nearby. On the off chance that individuals are sound and taught, they can work, be beneficial, and partake in local area improvement. By shielding the labor force from death and infection, the game hold can drive financial development.

Step-by-step explanation:

Answer:

a bag of 5 kg potatoes for $4.99

Step-by-step explanation:

estimated $5.00 for 5 kg

5.00/5 = $1.00 per kg

Answer:

Its a postive number

Step-by-step explanation:

If you look it says she is at sea leveal wicth is 0 and she is going up 12.3 feet so its postive.

The change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.

The process of subtracting one number from another is known as subtraction.

Given that, the lowest point of the Ferris wheel is -9.6 feet, and the highest point is 12.3.

The change in elevation from the bottom of the Ferris wheel to the top of the Ferris wheel is,

12.3 - (-9.6)

=12.3 + 9.6

= 21.9

Hence, the change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.

To learn more about subtraction, click here:

https://brainly.com/question/2346316

#SPJ5

Answer:

151.320046 m^2

150 m^2

Hope it helped!!!!!

Step-by-step explanation:

Area of the circle is:

pi * r^2

Therefore:

= pi * 17^2

= 289 * pi

Now  Area of the sector:

= 289 * pi * (60/360)

= 289 * pi * 1/6

= 48.1666667 * pi

= 151.320046 m^2

= 150 m^2 (rounded)