The inequalities h > 42 and h < 60 represents the height requirements for an amusement park ride, where h represents the person's height in inches. Write a description that can be placed on a sign to clearly explain the rules as to who can ride the ride. You may wan to include some examples.
If h > 42 and h < 60, where h is in inches, then we can say 42 < h < 60.
This translates to "the person's height must be between 42 inches and 60 inches, excluding both endpoints".
So for example, if someone is h = 50 inches, then they can go on the ride. This is because 42 < 50 < 60 is true. I've simply replaced h with 50.
On the other hand, something like 42 < 70 < 60 is false, meaning that h = 70 isn't allowed as they are too tall.
The person cannot have a height of h = 42, and they can't have a height of h = 60 either since we're leaving the endpoints out.
As a final example, if the person is h = 40 inches, then they can't ride either because 42 < 40 < 60 is false. They are too short in this case.
-------------------
Side notes:
12 inches = 1 foot42 inches = 3 feet, 6 inches60 inches = 5 feet50 inches = 4 feet, 2 inches70 inches = 5 feet, 10 inches40 inches = 3 feet, 4 inchesArrange the polynomial equations in increasing order of the maximum number of extrema they could have. y = x6 − 6x3 + 5x y = x5 + 4x3 − 5x y = x3 + 21x2 + 110 y = 3x2 + 5 y = x4 − 17x2 + 72 ↓ ↓ ↓ ↓
The increasing order of maximum number of extrema they could have is;
y = 3x² + 5y = x³ + 21x + 2y = x⁴ − 17x² + 72y = x5 + 4x³ − 5xy = x6 − 6x3 + 5xWhat is the maximum number of extrema they could have in increasing order?The extrema of a polynomial is otherwise termed it's "turning point(s)". It follows that a polynomial with a degree n would have (n-1) number of turning points. It therefore follows on this basis that the arrangement of the polynomial equations in increasing order of possible extrema they could have is;
y = 3x² + 5
y = x³ + 21x + 2
y = x⁴ − 17x² + 72
y = x5 + 4x³ − 5x
y = x6 − 6x3 + 5x
Read more on extrema;
https://brainly.com/question/11513179
#SPJ1
Identify the transformations of the
function f(x) = x^2 to g(x)=(x-7)^2+4
What is the solution to -1-7?
BRE
--10-9-8-7-6
0
1
2
3
4
5
Б
7
8 9 10
-6
Оооо,
6
Answer: -8
Step-by-step explanation: hope this helps=)
Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).
Are the lines parallel, perpendicular or neither? Show all work to justify your
response.
Answer:
neither
Step-by-step explanation:
Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8
Slope of the second line: (2-3)/4-(-4) = -1/8
They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,
Please give real answers with an explaination. 70 points + I will follow. No Docs/No Files/No Links only answer with explaination.
Answer:
second option
Step-by-step explanation:
find angle c
angle a + angle c = 110 degree (sum of two interior opposite angle is equal to the exterior angle formed )
70 + angle c = 110
angle c = 110 - 70
angle c = 40 degree
find angle b
angle a + angle b + angle c = 180 degree (sum of interior angle of a triangle)
70 + angle b + 40 = 180
angle b + 110 = 180
angle b = 180 - 110
angle b = 70 degree
when two sides are equal the triangle can be named as isosceles triangle.
Answer:
option B
Step-by-step explanation:
∠ABD + ∠ABC = 180° [ straight line angle ]
110° + ∠ABC = 180°
∠ABC = 180 - 110 = 70°
option A : False
Option B : True,
Since two angles are same, the given triangle is isosceles.
option C : False
Nothing mentioned about the sides in the figure. Though it is isosceles
it does not mention anything about sides.
If two angles of a triangle are congruent,
then the sides opposite those angles are congruent.
That is , AC = BC
Option D : False, Because only B satisfies.
What is the slope-intercept equation of the line below? A.y=2x+3 B.y=-2x-3 C.y=2x-3 D.y=-2x+3
Answer:
C.
Step-by-step explanation:
First, lets find the y-intercept. The y-intercept where the line passes through the y-axis. In this case, it is -3.
Now, to find the slope, lets find the next non-decimal point(that way it is easier on us). That would be (1,-1). Now, to get to this point from the y-intercept, we have to go left 1 unit, and up 2 units. So, the change in y over change in x = 2/1 or 2. Now, using this information, we can form the equation:
y = 2x + -3. or y = 2x - 3.
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
6.5 cm
17.4 cm
14.6 cm
9.4 cm
Answer:
6.5cm)
Step-by-step explanation:
13.1 cm x 13.1 cm = 171.61
11.4 cm 11.4 cm = 129.96
171.61 - 129.96 = 41.65
Find the square root of 41.65.
41.65 = 6.4536811201050 x 6.4536811201050
Round 6.4536811201050.
x = 6.5cm
Note:
Pls let me know if my answer is incorrect, for the other users that will see this response. Thx!
-kiniwih426
Brainly to whomever somehow solves for x. I WILL REPORT SCAMS AND UNHELPFUL "WHAT?" ANSWERS.
Answer:
Step-by-step explanation:
I would have thought the answer would be whole numbers...
using top line....
5x-5y + 7x-15 = 180 (that is a line)
12x - 5y = 195
using bottom line
4x+ 4y +2x+ y = 180
6x + 5y =180
~~~~~~~~~~~~~~~~~~
12x - 5y = 195
6x + 5y =180
(fives cancel)
18x = 375
x = 20.83
y= 11
Answer:
x=125/6
y=11
Step-by-step explanation:
Same side interior angles have a sum of 180 if the transversal passes through a pair of parallel lines.
So we have the following two equations:
7x-15+5x-5y=180
4x+4y+2x+y=180
Let's simply(combine like terms):
12x-5y-15=180
6x+5y=180
Add 15 on both sides for first equation:
12x-5y=195
6x+5y=180
Equations are set up so we can use linear combination or elimination (adding equations together to eliminate y):
18x=375
Divide both sides by 18:
x=375/18
Simplify (reduce fraction):
x=375/18 ÷3/3=125/6
Now let's go back and find y using either equation:
6x+5y=180 with x=125/6
6(125/6)+5y=180
125+5y=180
5y=180-125
5y=55
y=11
x=125/6 and y=11
Select all of the following that are equivalent to 1/10,000
A (10,000)^-1
B(-10,000)
C(100)^-2
D(10)^-4
E(-10)^2
D.( 10 )^-4
This is the answer of your question
hope it is helpful to you
What is the sum of the fraction below? 1/7+3/8
Answer:
29/56
Step-by-step explanation:
Here we're combining two fractions of different denominators, 7 and 8. The LCD is the product of 7 and 8: 56.
1/7 is rewritten as 8/56 and 3/8 as 21/56.
Summing these up, we get 29/56
GRADE 10 MATH QUESTION
The city is trying to open a road that connects a cabin in the woods to a
roadside. The roadside connects 2 parks. The cabin site is located at (8,6) on
the map and the parks are at point A (-2,10) and point B (5,-4). Find the
route that minimizes the cost and the number of trees that have to be cut
down (Hint: Find the shortest distance between the cabin and the roadside)
Answer:
the shortest route is from cabin site to B
Step-by-step explanation:
see my attachment
Answer:
answer is b
Step-by-step explanation:
In the applet above right triangle XYZ is drawn with a 23 degrees angle. for the right triangles with an angle of 23 degrees the ratio of the leg adjacent the 23 degrees angle compared to the hypotenuse is 0.92 if the leg adjacent to the 23 degrees angle has a length of 46 units, what is the length of the hypotenuse ?
Answer:
50 ( nearest whole number)
Step-by-step explanation:
Given from the question :
Ratio of Adjacent to hypotenus = 0.92
Length of Adjacent leg = 46 units
From trigonometry :
Ratio of adjacent to hypotenus is the cosine of the angle :
Hence,
Cos 23 = adjacent / hypotenus
Cos 23 = 46 / hypotenus
0.9205048 = 46/ hypotenus
Hypotenus = 46 / 0.9205048
Hypotenus = 49.97
What is the relationship between the values tand s plotted on the number line
below?
S
A. t= s
B. t>s
O c. tcs
Answer:
The answer should be t > s. B is the correct answer.
Please Help Me!
Polygon DRMF is congruent to SLTO. Name two sets of congruent angles and two sets of congruent sides.
Answer:
✔️2 sets of corresponding angles
<D and <S
<R and <L
✔️2 sets of corresponding sides
DR and SL
RM and LT
Step-by-step explanation:
When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.
When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.
Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:
<D corresponds to <S
<R corresponds to <L
<M corresponds to <T
<F corresponds to <O
For the sides, we have:
DR corresponds to SL
RM corresponds to LT
MF corresponds to TO
FD corresponds to OS.
We can select any two out of these sets of corresponding angles and sides as our answer. Thus:
✔️2 sets of corresponding angles
<D and <S
<R and <L
✔️2 sets of corresponding sides
DR and SL
RM and LT
Find the area of the shaded region.
Answer:
Area of shaded region = 134.13 square feet
Step-by-step explanation:
Area of the shaded region = Area of square - Area of circle
[tex]= ( 25 \times 25) - ( \pi 12.5^2)\\= 625 - 490.87\\= 134.13 ft^2[/tex]
The solution is {-8, 3} but I’m not sure how to graph it on a line, is it A B C or D?
Answer:
-8 < x< 3
Step-by-step explanation:
|2x+5| <11
there are two solutions, one positive and one negative ( remember to flip the inequality for the negative)
2x+5 <11 and 2x+5 > -11
Subtract 5 from each side
2x+5-5 < 11-5 and 2x+5-5 > -11-5
2x< 6 and 2x>-16
Divide by 2
2x/2 <6/2 and 2x/2 >-16/2
x <3 and x>-8
-8 < x< 3
x is less than 3 and x is greater than -8
open circles and -8 and 3 and a line between
what is 4.3347x10^4 in standard form?
Answer:
43347
Step-by-step explanation:
just move decimal to the right 4 times.
What is one way to test whether an unknown solution is acidic or basic?
Answer:
Bases change red litmus into blue and bases have a slippery and soapy texture. Therefore, we can conclude that out of the given options, one way to test whether an unknown solution is acidic or basic is to check whether the solution has a slippery feel
Step-by-step explanation:
Which choice is equivalent to the fraction below? 6/(sqrt(3))
Answer:
A. 2sqrt3
Step-by-step explanation:
Hope this helps!
10/12 divided by ?/? = 5/6
Answer:
1
Step-by-step explanation:
10/12 = 5/6
so devided by one
En la papelería " Office Depot", una caja con 24 plumones cuesta $120 y en la papelería "Dabo" una caja con 18 plumones cuesta $84. ¿En qué lugar es preferible comprar los plumones? A- office depot B- dabo
Answer:
B- dabo
Step-by-step explanation:
En la papelería de "Office Depot", una caja con 24 rotuladores cuesta $ 120
En la papelería de "Office Depot", 1 marcador cuesta = $ 120/24 = $ 5
En la papelería "Dabo", una caja con 18 rotuladores cuesta $ 84
En la papelería "Dabo", 1 marcador cuesta = 84 $ / 18 = 4,67 $
Es preferible comprar rotuladores de dabo.
English
At the "Office Depot" stationery, a box with 24 markers costs $ 120
At the "Office Depot" stationery, 1 marker costs= $ 120 /24= $ 5
At the "Dabo" stationery, a box with 18 markers costs $ 84
At the "Dabo" stationery, 1 marker costs =$ 84/18= $ 4.67
It is preferable to buy markers from dabo
PLEASE HELP! Translate the following phrase into a variable expression. Use the letter d to name the variable.
…10 times as deep..
A. d + 10
B. 10d
C. d/10
D. d - 1
Answer:
B. 10d
Step-by-step explanation:
10 times d = 10d
Hope its right
What is the theoretical probability of randomly choosing a blue marble from a bag of 5 blue marbles, 8 red marbles, and 7 yellow marbles?
Answer:
25%
Step-by-step explanation:
There's a total of 5+8+7 = 20 marbles.
The chance of picking a blue marble is [tex]\frac{5}{20} =\frac{1}{4} =0.25=[/tex]25%, as there's 5 blue marbles and a total of 20.
Please help with this question!
Answer:
a =9 b=0 c=6
Step-by-step explanation:
6+9x^2
Rewrite
9x^2 +0x+6
This is in the form
ax^2+bx+c
a =9 b=0 c=6
12. Mariam and Sana are excited that a new store just opened in town! They go together the first day it opens! Each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50. A few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store. What is the least possible number of times that Mariam has been to the store? Just write the number. *
In a right angled triangle where angle A= 90° and AB=AC. What are the values of angle B.
Answer:
45°Step-by-step explanation:
This is an isosceles right triangle as two legs are congruent.
The angle measure of both acute angles (B and C) is same:
m∠B = 90°/2 = 45°Which one goes where?:( WILL GIVE BRAINLIEST!<33
Answer:
1 pair of parallel sides: B
2 pairs of parallel sides: A, D
3 pairs of parallel sides: C
Step-by-step explanation:
When two lines are parallel, they will never intersect.
P= -4b^2+6b-9
Q= 7b^2-2b-5
P-Q=
Answer:
P - Q = - 11b² + 8b - 4
Step-by-step explanation:
P - Q
= - 4b² + 6b - 9 - (7b² - 2b - 5) ← distribute parenthesis by - 1
= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms
= - 11b² + 8b - 4
A potential difference of 35v is applied across the ends of a resistance of 3 ohms. How much current will flow in the resistance?
Answer:
11.67 Amperes
Step-by-step explanation:
From Ohm's law,
Ohm's law which state that a current
which flow through a conductor at a distance between two points is proportional directly to the voltage which is flowing across the two points.
I= V/R
Where
I= Current
V= potential difference =35v
R= resistance = 3 ohms
Then substitute the values we have
I = 35 / 3
I= 11.67 Amperes