many persons can ride the elevator if each weighs 45kg?

Answer:

[tex]x = -\dfrac{8}3~~~~\text{or}~~~x = -\dfrac {22}3[/tex]

Step by step explanation:

[tex]~~~~~3|x+5|=7\\\\\implies |x+5| = \dfrac 73\\\\\implies x +5=\dfrac 73~~~\text{or}~~~x+5 = -\dfrac 73\\\\\implies x = \dfrac 73 -5~~~\text{or}~~~ x = -\dfrac 73 - 5\\\\\implies x = -\dfrac{8}3~~~~~~\text{or}~~~x = -\dfrac {22}3[/tex]

Answer:

24 ways!

Step-by-step

Pat, Jo, Al, Dan

Pat, Al, Dan, Jo

Pat, Dan, Jo, Al

Pat, Jo, Dan, Al

Pat, Al, Jo, Dan

Pat, Dan, Al, Jo List all permutations beginning with Pat.

Jo, Al, Dan, Pat

Jo, Dan, Pat, Al

Jo, Pat, Al, Dan

Jo, Al, Pat, Dan

Jo, Dan, Al, Pat

Jo, Pat, Dan, Al List all permutations beginning with Jo.

Al, Dan, Pat, Jo

Al, Pat, Jo, Dan

Al, Jo, Dan, Pat

Al, Pat, Dan, Jo

Al, Dan Jo, Pat

Al, Jo, Pat, Dan List all permutations beginning with Al.

Dan, Pat, Jo, Al

Dan, Jo, Al, Pat

Dan, Al, Pat, Jo

Dan, Jo, Pat, Al

Dan, Pat, Al, Jo

Dan, Al, Jo, Pat List all permutation beginning with Dan.

There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.

Using permutations, they are 24 different ways Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.  

A permutations is "a mathematical calculations of the number of ways  a particular data can be arranged".

According to the question,

Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.

Formula for Permutation [tex]nP[/tex]ₓ = [tex]\frac{n!}{(n-x)!}[/tex]  where 'n' number of items set and 'x' is the item taken for Permutation.

In order to find number of ways first, second, third, and fourth place are arrangement or Permutation in the contest.

First, second, third and fourth are four places can be obtained by Pat, Jo, Al and Dan by four position

Formula for permutation P(n , n) = n!. Using this formula P(4,4) = 4!

= 1×2×3×4  =24 ways.

Hence, using permutations, they are 24 different ways Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.  

Learn more about Permutation here

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Answer:

55

Step-by-step explanation:

(after the first "1") You need to add the previous two numbers together to get the next number in the pattern.

Answer:

1 ornament per 3 hours

in 15 hours she will have 7.5 of them done

Answer:

5 Ornaments

Step-by-step explanation:

First, we take into account that 24 hours are in one day. We then make the equation 6/24, which tells us that she can make 8 ornaments in 24 hours. That's not the answer we need though.

We will divide 2 by 6 = 0.33

We can take that and multiply it by 15 hours to get 5 ornaments total.

Hope this answer helped u out :D

answer

Solved 3a. (10 pts) fa? x2 arctan (3.c) dx = 3b. (10 pts)

Step-by-step explanation:

brainlist me

Answer:

x = 3/2

Step-by-step explanation:

Step 4: 2x + 8 = 11

step 5: 2x +8 - 8 = 11 -8

step 6: 2x/2 = 3/2

step 7: x = 3/2

Answer:

see explanation

Step-by-step explanation:

take the square root of both sides

step 4 : x + 4 = ± [tex]\sqrt{11}[/tex] ( subtract 4 from both sides )

step 5 : x = - 4 ± [tex]\sqrt{11}[/tex]

step 6 : x = - 4 - [tex]\sqrt{11}[/tex] , x = - 4 + [tex]\sqrt{11}[/tex]

Step-by-step explanation:

given, output = input + 12

output = -11 + 12

output = 1

Taking into account the discriminant of a cuadratic function, values of c ​​less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation  -x²+3x+c=0 to have no real number solutions.

The function f(x) = ax²  + bx + c with a, b, c real numbers and a ≠ 0, is a function  quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The following expression is called discriminant:

Δ= b²- 4×a×c

The discriminant determines the amount of  roots of the function. The roots are those values ​​of x for which the expression is 0, so it graphically cuts the x-axis.

Then:

In this case, for the quadratic equation -x²+3x+c=0 you know:

If the function has no real roots, the discriminant is less than zero (Δ <0). This is: b²- 4×a×c < 0

Substituting the corresponding values, you  get:

3²- 4×(-1)×c < 0

Solving:

9 + 4×c < 0

4×c < -9

c< (-9)÷4

c< [tex]-\frac{9}{4}[/tex]

Finally, values of c ​​less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation  -x²+3x+c=0 to have no real number solutions.

Learn more about the discriminant of a cuadratic function:

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Answer:

See below ~

Step-by-step explanation:

13.

14.

15.

16.

Answer:

13. C. Angles 2 and 5, becuase adjacent means the angles are touching and right next to each other, and three is too far away and is not buffering up to angle 1.

14. That would be C. angle 5, because linear pair angles are angles that share a line and would add up to 180, in this case only angle 5 does that.

15. B. 60 degrees, to find out angle 2, you first need to know the information that a line=180 degrees, and all three angles share a single line being line TQ. so all you have to do, is add up the angles you know, so 70+50=120, and then subtract them by 180, giving you the remainder that is unkown, in this case being angle 2, so 180-120=60.

16. A. angles RVT and angle RVU, remember, ajacent angles are angles that share a side and buffer each other, in which angles RVT and RVU are the only ones that do that.

Answer:

The distance between the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

[tex]\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }[/tex]

We are defined our two points as:

We can rewrite this into our different "variables":

Now given our distance formula and our variables, we can find the distance between the two points:

[tex]\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}[/tex]

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

Answer:

Daniel made 36 cards that are all the same size and shape. Each card has a single number on it, 1, 2, 3, 4, 5, or 6, and is red or green as shown in the table. For example, there are 2 red cards that have the number 5 on them.

Step-by-step explanation:

Answer: 186. 375

Step-by-step explanation:

25/100 × 248.50 /1 = 62.125

He paid 248.50 - 62.125

Answer:

I think it's 6 because there are 6 sides that make up the cube, hopefully I'm right.

Answer:

All the lines put 10 above it

Step-by-step explanation:

All the dimensions (Number of squares) Are equal to ten

Answer:

75 feet

Step-by-step explanation:

The perpendicular height from the base of the lighthouse to the top is 160 feet. The angle of depression is the angle that is adjacent to this side. The opposite of this angle is the horizontal distance from the boat to the base of the lighthouse, so we need to use the tangent. tan 25°=x/160, tan 25° is 0.466 so when we multiplty by 160 to find x, we get x=74.56, which rounded up is 75.

Answer:

13.5

Step-by-step explanation:

Q3 - Q1   is the interquartile range

23- 9.5

Answer:

true

false

false

false

Step-by-step explanation:

false 0,0  blue dot go right.                            

Answer:

226-10 = 216

216:8=27

answer : 27 months

Answer:

4x^2 + 11x - 20

Step-by-step explanation:

Answer:

(4x-5)(x+4)

Answer:

6 = 413 is a not true statement

Step-by-step explanation:

I've attached my work below

Hope it helps, Let me know if you have any questions/concerns !

Have a nice rest of your day :)

Answer:

g(x)=2x+1

Step-by-step explanation:

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

Answer:

A - Isosceles

B - 9

Step-by-step explanation:

(20x - 10)

factor out the 10 so now it is

10(2x - 1)

simplify 20x - 10

Answer: The Answer is 150.

I don't know if this is the right answer

Answer:

A=4πr2=4·π·2.52≈78.53982 ==> A

Step-by-step explanation

the radius is 2.5 feet, the formula is given, then sub for pi and approx answers is 78.5

Answer:

14

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(

8

,

−

2

)

Equation Form:

x

=

8

,

y

=

−

2

Answer:

20.28

Step-by-step explanation:

Triangles; 4

Area of 1 Triangle; 2

Rectangles; 8

Semi Circle; 6.28

Area in total; 20.28

Hope This Helps! :)

Step-by-step explanation:

Area of the rectangle: 4×2=8

Area of the semicircle: πr² ÷ 2= 22/7×2² ÷2 = 12.57 ÷2 = 6.29

Area of one triangle: 1/2×2×2= 2

Area of total figure: 8+6.29+2+2= 18.29

Hope this helps =)

The y intercept is where a line on a graph crosses the y axis when the x coordinate is 0.

Answer:

The point where the line is on the Y axis

Step-by-step explanation:

for example in the equation y=mx+b, b would be the y-intercept or in the equation y=4x+7, the y-intercept would be 7.

Quadratic functions are functions that have a leading degree of 2. The values when the icicle starts and stops dripping  is at x = 2 and 9

Quadratic functions are functions that have a leading degree of 2.

Given the equation that represents the rate at which an icicle drips below:

f(x) = −x^2 + 11x − 18

If the icicle is not dripping at the point where f(x) is a negative number, hence point where the icicle starts and stops dripping is the point where f(x) =0

Substitute

−x^2 + 11x − 18 = 0

x^2 - 11x + 18 = 0

x^2 - 9x - 2x + 18 =0
x(x - 9)-2(x-9) = 0
x = 2 and 9

Hence the values when the icicle starts and stops dripping  is at x = 2 and 9

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