The elevator at the local mall has a weight limit of 1,800 pounds and requires that the maximum person allowance be no more than nine people. let represent the number of people. write an inequality to describe the maximum allowance of people allowed in the elevator at one time.

First note the intersections of each pair of lines.

x = 3   ⇒   y = 2•3 + 1 = 7   ⇒   (3, 7)

y = -3   ⇒   -3 = 2x + 1   ⇒   x = -2   ⇒   (-2, -3)

y = -3 and x = 3   ⇒   (3, -3)

Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of

∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y

As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral

[tex]\displaystyle \frac\pi4 \int_{-3}^7 (y-1)^2 \, dy[/tex]

Answer:

x-10+2x+5+35=180

3x-5+35=180

3x=180-50

x=150÷3

x=50

Therefore option D is write answer

Answer:

D   (x = 50°)

Step-by-step explanation:

Angles in a triangle add up to 180°.

             ∴ (2x + 5)° + (x - 10)° + 35° = 180°

                    2x + x + 5 - 10 + 35 = 180

                              3x + 30 = 180

                                  3x = 150

                                    x = 50°

Hope this helps!

Answer:

I think it would be 2,8

Step-by-step explanation:

hope it helps u

We will see that the vertex of the quadratic equation is at (1, 14)

For a general quadratic:

[tex]y = a*x^2 + b*x + c[/tex]

The x-component of the vertex is at:

[tex]x = -b/2a[/tex]

In this case, we have:

[tex]y = -2x^2 + 4x + 12[/tex]

Then the vertex is at:

[tex]x = -4/(2*-2) = 1[/tex]

To get the y-component of the vertex, we need to evaluate in x = 1.

[tex]y = -2*1^2 + 4*1 + 12 = -2 + 4 + 12 = 14[/tex]

Then we conclude that the vertex is at (1, 14), so the correct option is d.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ4

Answer:

w=8

Hope this helps!!

The chance of finding a defective headset is 2.5%

The given parameters are:

Total = 280

No defects = 273

The number of defective headsets is:

Defective = 280 - 273

Evaluate

Defective = 7

The probability that a defective headset is selected is:

P(Defective) = 7/280

Express as percentage

P(Defective) = 2.5%

Hence, the chance of finding a defective headset is 2.5%

Read more about probability at:

https://brainly.com/question/251701

#SPJ4

The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

The expression is given as:

x² + 4x - 45

Expand the equation

x² + 4x - 45 = x² + 9x - 5x - 45

Factorize the expression

x² + 4x - 45 = x(x + 9) - 5(x + 9)

Factor out x + 9

x² + 4x - 45 = (x - 5)(x + 9)

Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

Read more about expressions at:

https://brainly.com/question/723406

#SPJ4

Answer:D

Step-by-step explanation:

i got it on edmentumn

Answer:

For the child 8  in.,

for the image(B) 9 1/4in

Step-by-step explanation:

Answer:

B. 9 1/4

Step-by-step explanation:

Covert 1/2 into 4ths.

3 2/4 + 5 3/4= 7 5/4 = 9 1/4

Hope this helps

The normal distribution is also known as the Gaussian distribution. The mean of this test is 37.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

On a test that has a normal distribution, a score of 29 falls two standard deviations below the mean, and a score of 49 falls three standard deviations above the mean. Therefore, we can write,

μ - 2σ = 29

μ + 3σ = 49

By subtracting the first equation from the second, then we will get,

μ + 3σ - μ + 2σ = 49-29

5σ = 20

σ = 4

Now, substitute the value of σ in the equation,

μ - 2σ = 29

μ - 2(4) = 29

μ = 29 + 8

μ = 37

Hence, the mean of this test is 37.

Learn more about Normal Distribution:

https://brainly.com/question/15103234

#SPJ1

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

              The quotient of b and 3 is greater than or equal to 19.

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

           ✥First, the word "quotient" indicates that we divide.

Here we have "the quotient of b and 3", so we divide b by 3:-

[tex]\hookrightarrow[/tex][tex]\sf{b\div3}[/tex]

Now, this expression is greater than or equal to 19:-

[tex]\sf{b\div3\geq 19}[/tex]

How to Solve for b

✳︎ Multiply by 3 on both sides:-

[tex]\sf{b\geq 19\times3}[/tex]

On simplification,

[tex]\sf{b\geq 57}[/tex]

So the values of b greater than or equal to 57 will make this inequality true.

Let's solve another one.

✳︎ A number y increased by 5 is at least -21.

First, "increased" means we add 5.

Since y is increased by 5, we add 5 to y:-

[tex]y+5[/tex]

Now this expression is at least -21, which means it can't be less than -21, thus, it's greater than or equal to  -21, which looks as follows:-

[tex]\sf{y+5 \geq -21}[/tex]

[tex]\rule{300}{1}[/tex]

[Solving for y]

Subtract 5 on both sides:-

[tex]\sf{y \geq -21-5}[/tex]

On simplification,

[tex]\sf{y \geq -26}[/tex]

So the values of y greater than or equal to  -26 will make this inequality true.

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

Volume is a three-dimensional scalar quantity. The amount of water that the tub can hold is 4,981.75 litres.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the circumference of the tub is 25.12 feet, therefore, the radius of the circumference of the tub will be,

Circumference = 2πr

25.12 = 2×π×r

r = 3.9979ft ≈ 4ft

Now, the volume of the tub will be,

Volume = πr²h = π×(4²)×3.5 = 175.929 ft³

Since 1 ft³ is equal to 28.3168 litres, therefore, the amount of water that a tub can store is

Volume of water = 175 × 28.3168 = 4,981.75 litres

Hence, the amount of water that the tub can hold is 4,981.75 litres.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ1

Answer:

Slope-Intercept: C,H,F,I,P,T

Standard: B,D,K,N,O,Q,S

Point-Slope: A,E,G,F,L,M,R

Step-by-step explanation:

Anything with the Y on one side of the equation and an X on the other is Slope-Intercept.

All the standard equations are the ones with the terms (X and Y) on one side of the equation, and a real number on the other.

The Point-Slope are all equations containing a Y value on one side, and an undistributed X value on the other.

Answer:

Step-by-step explanation:

17 + 4 = 21

Answer:

B + 4 = 17+4

21 is the answer

Answer:

y = -3x

Step-by-step explanation:

Equation of the line going through the origin: y = mx

Substitute any point in the above equation.

Here, Chosen point( 1 ,-3)

-3 = m*1

m = -3

Equation of the line: y = -3x

Answer:

x = 1 , x = 9

Step-by-step explanation:

from the table

f(x) = g(x) = 14 when x = 1 , and

f(x) = g(x) = 6 when x = 9

then the solutions to f(x) = g(x) are

x = 1 and x = 9

Answer:

A. (-2√2, -2√2)

Step-by-step explanation:

Just use conversion formulas

hope this helps:)

The large fishbowl hold 5.6 gallons of water. The volume of the large. fishbowl is denoted by y in the given problem.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The volume of the small fishbowl is x

The volume of the large fishbowl is y

From the problem, the large fishbowl holds up to [tex]\rm 2\frac{1}{3}[/tex] times as much water as the small fishbowl.

[tex]\rm y = 2\frac{1}{3} x\\\\\ x= 2\frac{2}{5} =2.4\\\\ y= 2.333\times 2.4 \\\\\ y=5.6 \ gallon[/tex]

Hence, the large fishbowl hold 5.6 gallons of water.

To learn more about the volume, refer to the link;

https://brainly.com/question/1578538

#SPJ1

Answer:

D

Step-by-step explanation:

everything that should happen at x+4 happens now at x. that is what that means.

so, the graph shifts 4 units to the left.

Answer:

I. 56 cubic feet of water.

II. 5 feet

Step-by-step explanation:

Answer:

To mark or take note of.

Step-by-step explanation:

Answer:

Your answer is 11CM

Step-by-step explanation:

The height of cylinder b is 11 cm.

The volume of the cylinder is related to the capacity of this geometric figure. Remember that the cylinder or circular cylinder is an elongated and rounded geometric solid.

The formula for the volume of a cylinder is given by:

[tex]V = \pi.r^2.h[/tex]

Where:

In this case, as the cylinders are congruent, both will have the same radius, thus:

[tex]V = \pi.r^2.h\\176\pi=\pi(4)^2(h)\\h=11[/tex]

See more about height of cylinder at brainly.com/question/14165005

#SPJ4

The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.

A three dimensional figure is a polygon with length, width and height. Examples are cone, cylinder, prism, pyramid and so on.

The shape of the butter is rectangular prism. The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.

Find out more on three dimensional figure at: https://brainly.com/question/10556378

#SPJ1

Answer:

the answer for this question is 3 in 2.5 inches or 5 in 2.5 inches

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

It would be negative -22

6*(-4)+2

-24+2

-22

Hope this helps :)

Answer -

[tex]f(x) = 6x + 2 \\ \\ \implies \: f( - 4) = 6( - 4) + 2 \\ \\ \implies \: f( - 4) = - 24 + 2 \\ \\ \implies \: f(x) = - 22[/tex]

hope helpful ~

Answer:

4/10 or 40% chance he picks a spade and 3/10 or 30% he picks a club so in total he would have a 7/10 chance or 70% chance of getting spade or club

Step-by-step explanation:

The probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.

To find the probability that Wes will pick a spade or a club from Alex's cards, we need to determine the total number of spades and clubs in Alex's hand and divide it by the total number of cards.

Total number of spades = 3

Total number of clubs = 4

Total number of cards = 2 (diamonds) + 3 (spades) + 4 (clubs) + 1 (heart) = 10

Therefore, the probability that Wes will pick a spade or a club is:

(Picking spade or club) = (Total number of spades + Total number of clubs) / Total number of cards

= (3 + 4) / 10

= 7 / 10

= 0.7

So, the probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.

Learn more about probability click;

https://brainly.com/question/31828911

#SPJ6

Answer:

I think it is (2,3.5)

Step-by-step explanation:

See im ova here trying my best so if it's wrong don't me coming foe me

The final expression 2|x+3| shows a vertical compression by 2 units and a horizontal translation to the left by 3units

Transformation is a means of changing the size and shape of an object in a xy-plane.

For the given function, its parent function is f(x) = |x|

The expression f(x) = 2|x| shows that the function is vertically stretched by 2 units.

The final expression 2|x+3| shows a vertical compression by 2 units and a horizontal translation to the left by 3units

Learn more on transformation here: https://brainly.com/question/1462871

#SPJ1

Answer:

Can you please tell me what you need done?

Step-by-step explanation:

I would love to help you but it seems you haven't put any information.

Let the length of the room = L = 12m

width of the room = b = 8m

Height of the room = h = 4m

• Area of the four walls of the room = Perimeter of the base x Height of the room.

[tex] = 2(l + b) \times h = 2(12 + 8) \times 4[/tex]

[tex] = 2 \times 20 \times 4 = 160 {m}^{2} [/tex]

Hence , the total cost of white washing four walls of the room ;-

Cost of white washing the ceiling.

So , the total cost of white washing ;

Hope this helps you :)

#Carry on learning# :) ..