Find the volume of the prism

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

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)

Answer:

g(x) = -x² - 3

Step-by-step explanation:

You want to mirror f(x), hence the minus sign.

Then you want to translate it 3 down, hence the -3.

Answer:

g(x) = -x² - 3

Step-by-step explanation:

f(x) is x², so g(x) will be negative because it is on the opposite side of the plane.

g(x) will be -x², it cross the y-intercept at (0, -3)

g(x) = -x² - 3

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:

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:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be

(Amount she earns) > (Amount she spends)

7L² > 3(200L - L²)

To simplify,

7L² > 3L(200 - L)

Since L is always positive, we can divide both sides by L

7L > 3(200 - L)

7L > 600 - 3L

10L > 600

L > 60 meters

Hope this Helps!!!

Answer:

Answer is in attached image.

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:

Step-by-step explanation:

Like your other question, let's break it down systematically

6x + 9y - 9(6x - 3y + 8z)

Use the distributive property

6x + 9y - 9(6x - 3y + 8z)

6x + 9y - 54x - 27y + 72z

Match like terms

6x - 54x = -48x

9y - 27y = -18y

72z - 48x - 18y

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:

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:

Scalene triangle

Step-by-step explanation:

Let's first cancel out the obvious.

This is not a equilateral triangle because the angles are not equal.

Now if you draw out the triangle, you can see that the triangle is a little weird. Not at all a equilateral triangle.

It's also not a iscosles because no two angles are the same.

Thus we end up with scalene triangle.

Hope this helps!

Answer:

[tex] - 6 < x < 1[/tex]

Step-by-step explanation:

first things first:

[tex] - 7 < 2x + 5 \\ - 7 - 5 < 2x + 5 - 5 \\ - 12 < 2x \\ - 6 < x[/tex]

now:

[tex]2x + 5 < 7 \\ 2x + 5 - 5 < 7 - 5 \\ 2x < 2 \\ x < 1 [/tex]

now the intersection is:

[tex] - 6 < x < 1[/tex]

Answer:

El monomio equivalente es [tex]\cos 5x \cdot \cos 2x[/tex].

Step-by-step explanation:

Un monomio es una entidad algebraica consistente en un componente, el polinomio dado puede ser transformado mediante el uso de la siguientes propiedades trigonométricas:

[tex]\cos (\alpha + \beta) = \cos \alpha \cdot \cos \beta - \sin \alpha \cdot \sin \beta[/tex]

Es decir:

[tex]\cos 7x + \sin 5x \cdot \sin 2x[/tex] Dado

[tex]\cos (5x+2x) + \sin 5x\cdot \sin 2x[/tex]

[tex]\cos 5x \cdot \cos 2x - \sin 5x \cdot \sin 2x + \sin 5x \cdot \sin 2x[/tex]

[tex]\cos 5x \cdot \cos 2x[/tex]

El monomio equivalente es [tex]\cos 5x \cdot \cos 2x[/tex].

Answer:  464 square inches is the area of the larger rectangle.

Step-by-step explanation:  Assuming that the shaded area is the part of the large rectangle outside the small rectangle, you can set up dimensions from the information given.

The small rectangle's Area = w (2w -1) which is 2w² -w

The large rectangle's Area = (w + 2)(2w + 1) which is 2w² + 5w +2

Now figure out the equation for the "shaded area" (probably outside the small rectangle)  2w² + 5w +2 -(2w² -w) = 86  (The 2w² terms cancel)

6w + 2 = 86,  so 6w = 84, w=14  

Substitute 14 for w in the dimensions of the large rectangle: (w + 2)(2w + 1)

(14+2)(2[14] + 1) = Area

16 × 29 = 464

(I think I deserve Brainliest for figuring this out, but I see the question has been red-flagged, so We'll see!)

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.

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:

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:

The answer is 2 because they are similar it is just that the one at the side is factorised

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:

[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..

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:

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:

-4r

Step-by-step explanation:

r + -5r

Factor out r

r( 1-5)

r(-4)

-4r

Answer:

1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3

2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15

3. x=3 is the line of symmetry of h(x), shown in the graph.

Step-by-step explanation:

To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero.  This is a vertical line passing through the vertex of the second degree function.

1. f(x) = -4(x − 8)2 + 3

setting x=8 will give f(8) = 3, so x=8 is the line of symmetry

2. g(x) = 3x2 + 12x + 15

here, we need to complete the squares,

g(x) = 3x2 + 12x + 15

g(x) = 3(x^2+4x+5)

g(x) = 3(x^2 + 2(2x) +4 +1)

g(x) = 3((x+2)^2 +1)

So setting x=-2 will anihilate or cancel the squared term, therefore

x= -2 is the line of symmetry.

3. the curven shown in graph,

we see that the vertex is at x=3, so x=3 is the line of symmetry.

The axes of symmetry of the functions f(x), g(x), and h(x) will be x = 8, x = -2, and x = 3, respectively.

Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.

Three capabilities are given underneath: f(x), g(x), and h(x).

f(x) = -4(x − 8)² + 3

The axis of symmetry of the function f(x) will be given as,

x − 8 = 0

x = 8

g(x) = 3x² + 12x + 15

Convert the expression into a vertex form.

g(x) = 3x² + 12x + 15

g(x) = 3(x² + 4x + 5)

g(x) = 3(x² + 4x + 4) + 3

g(x) = 3(x + 2)² + 3

The axis of symmetry of the function g(x) will be given as,

x + 2 = 0

x = −2

From the graph, the axis of symmetry of the function h(x) will be given as,

x = 3

More about the axis of the symmetry link is given below.

https://brainly.com/question/22495480

#SPJ2

Answer:

[tex]\frac{-\sqrt{65} - 3 }{4}, \frac{\sqrt{65} + 3}{4}[/tex]

Step-by-step explanation:

Since we cannot factor the expression, we must use quadratic formula: [tex]x = \frac{-b +/-\sqrt{b^2 - 4ac} }{2a}[/tex]

Plug in a for 2, b for 3, and c for -7 and you should find your roots.

Answer:

4/5, 3/100

Step-by-step explanation

Let's look at 0.8 first.

0.8 is 8/10, but there's some more.

Let's divide 8 / 2. It is 4.

and, 10 / 2 is 5.

so, 0.8's simplest form is 4/5.

and, 0.03's simmplest fraction is easy.

It is 3/100, cuz 3 is a prime number and 3's integer is only 1 and 3.

Hope this helps!

Answer:

1. Capacity of the box in Litres: 7.917L≈8L

2. Volume of wood used in making the box: 1197cm^3

3. The mass of the box: 1496.25g/cm^3

Step-by-step explanation:

1. 29×21×13=7917cm^3

7917cm^3 → 7.917dm^3→7.917L≈8L

2. Outside Volume: 29×21×13=7917cm^3

Inside Volume: 28×20×13=6720cm^3

7917-6720=1197cm^3

3. 1197×1.25=1496.25g/cm^3

Answer:

Step-by-step explanation:

It increase by 2.3

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:

The missing frequencies are x = 8 and y = 43.

Step-by-step explanation:

Median Value =70

Then the median Class =60-80

Let the missing frequencies be x and y.

Given: Total Frequncy = 200 , Median = 46

[tex]\left|\begin{array}{c|ccccccc}Value&0-20&20-40&40-60&60-80&80-100&100-120&120-140\\Frequency&12&30&x&66&y&27&14\\$Cumu.Freq&12&42&42+x&108+x&108+x+y&135+x+y&149+x+y\end{array}\right|[/tex]

From the table

[tex]\sum f_i =149+x+y[/tex]  

Here, n = 200

n/2 = 100

Lower Class Boundary of the median class, l=60

Frequency of the median class(f) =66

Cumulative Frequency before the median class, f=42+x

Class Width, h=10

[tex]Median = l + \dfrac{\dfrac{n}{2} - c.f }{f} \times h[/tex]

[tex]70 = 60+ \dfrac{100- 42+x }{66}\times 10\\70 = 60+ \dfrac{58+x }{66}\times 10\\70-60=\dfrac{58+x }{66}\times 10\\10*66=10(58+x)\\58+x=66\\x=66-58\\x=8[/tex]

200=149+x+y

200=149+8+y

y=200-(149+8)

y=43

Hence, the missing frequencies are x = 8 and y = 43.