Answer:
C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.
Step-by-step explanation:
The 4 basic characteristics of axiomatic systems are:
Undefined terms (or primitive terms) Axioms (or postulates) Theorems Laws of logicThe undefined terms or primitive terms of geometry are points, lines and planes that at some point meet or join together. This is called incidence, since geometry studies their relationship. E.g. 3 lines that form a triangle on a plane.
A ball is thrown upward from the top of a 192-foot-high building. The ball is 240 feet above ground level after 1 second, and it reaches ground level in 6 seconds. The height above ground is a quadratic function of the time after the ball is thrown. Write the equation of this function.
Answer:
The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].
Step-by-step explanation:
From Mechanical Physics we must remember that height reached by the ball as a function of time is a quadratic function if and only if ball is uniformly accelerated by gravity and viscous forces and Earth's rotation effects can be neglected. After assuming those considerations as true, the standard form of the quadratic function is:
[tex]h = a\cdot t^{2}+b\cdot t + c[/tex] (Eq. 1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h[/tex] - Height of the ball, measured in feet.
[tex]a[/tex] - Second order coefficient, measured in feet per square second.
[tex]b[/tex] - First order coefficient, measured in feet per second.
[tex]c[/tex] - Zero order coefficient, measured in feet.
From Algebra, we can obtain a quadratic function by know three distinct points and solving the resulting system of linear equations:
[tex]A(t, h)= (0\,s,192\,ft)[/tex]
[tex]c = 192\,ft[/tex] (Eq. 2)
[tex]B(t,h) = (1\,s,240\,ft)[/tex]
[tex]a+b+c = 240\,ft[/tex] (Eq. 3)
[tex]C(t,h) =(6\,s,0\,ft)[/tex]
[tex]36\cdot a + 6\cdot b + c = 0[/tex] (Eq. 4)
By Algebraic methods, we get this unique solution:
[tex]a = -16\,\frac{ft}{s^{2}}[/tex], [tex]b = 64\,\frac{ft}{s}[/tex], [tex]c = 192\,ft[/tex]
The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].
PLEASE ANSWER QUICK leggings are 54.95 they are 30% off how much are they?
Answer:
$38.47
Step-by-step explanation:
i did the math on it
4c = d for c
Solve for indicated variable.
Answer:
c=1/4d
Step-by-step explanation:
Answer:
c = d/4
Step-by-step explanation:
solve this literal equation using inverse operations:
4c = d
/4 /4
c = d/4
Which list shows the numbers below in order from least to greatest? −5.9, −234, 5.78, 58%−5.9, −234, 5.78, 58% −234, −5.9, 58%, 5.78−234, −5.9, 58%, 5.78 −5.9, −234, 58%, 5.78−5.9, −234, 58%, 5.78 58%, −234, 5.78, −5.958%, −234, 5.78, −5.9
For art class, each student
is going to make a piñata using pound of
paste. The art teacher bought 20 pounds of
paste. Which equation can be used to determine
the number of students that can make piñatas?
A. (n = 20
20
B. 4 = 20
D. 2n = 20
n =
Answer:
s=25
Step-by-step explanation:
pls help ill give brainliest
The table below shows the number of miles four cars can travel on a given amount of gasoline.
Car Mileage
Number of miles traveled
Number of gallons used
Car 1
528
22
Car 2
486
18
Car 3
475
19
Car 4
546
21
Which list shows the cars in order from least miles per gallon to greatest miles per gallon?
HURRY I NEED IT
FIRST RESPONCE GETS BRAINLIEST
Answer:
the person above me was correct
Step-by-step explanation:
btw it was c
Answer: C
Step-by-step explanation: I took the quiz yesterday
The area of the triangle below is 2/5 square foot.
What is the length, in feet, of the base of the
triangle?
Answer:
B. 2/3
Step-by-step explanation:
The equation for area of a triangle is A=1/2bh
so we can plug in what were given
2/5 =1/2(6/5)b now we solve for b
2/5=6/10 b
2/5 divided by 6/10 =b
2/5 x 10/6 =b
4/6=b
2/3=b
A recipe calls for 4 cups of flour to 6 tablespoons of shortening. How many tablespoons of shortening are needed for 6 cups of flour?
Answer:
8 tablespoons of shortening
Step-by-step explanation:
mathhhh
You drop a seashell into the ocean from a height of 40 feet. Write an equation that models the height h in feet) of the seashell above the water after seconds. How long is the seashell in the air? Round your answer to the nearest tenth.
Answer:
t=1.58 seconds
Explanation:
The equation which models the height h of the seashell above water after t seconds
Height of seashell above water after t seconds; h = 40 - 8t²
Time that seashell is in air; t = 1.58 s
The sea shell is dropped under gravity and thus, from Newton's equations of motion, we know that height/distance is;
S = ut + ½gt²
Since it was dropped from a height and not the ground, then;
h = height of shell from ground
h_o = height from which the shell was dropped.
Thus, we have;
h - h_o = ut + ½gt²
We are told that the seashell was dropped into the ocean from a height of 40 ft. Thus;
h_o = 40 ft
It was dropped from rest and so; u = 0 ft/s
Acceleration due to gravity is; g = -32ft/s² (since it is free fall)
Thus;
h - 40 = 0(t) + ½(-32t²)
h = 40 - 8t²
The time that the seashell in the air will be after it has hit the surface which will be when h = 0.
Thus;
0 = 40 - 16t²
16t² = 40
t² = 40/16
t² = 2.5
t = √2.5
t = 1.58 s
Read more at; brainly.com/question/17576926
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Which statements are true? Select all that apply.
Answer:
If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Step-by-step explanation:
The information provided is as follows:
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.The variable x is the number of pairs of pants.
The total cost function for Kelsey will be:
[tex]TC_{K}=17.95\cdot x+24[/tex]
The total cost function for Jeana will be:
[tex]TC_{J}=18.95\cdot x+18[/tex]
Consider that both pay the same total cost for their purchases.
Compute the value of x as follows:
[tex]TC_{K}=TC_{J}[/tex]
[tex]17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6[/tex]
Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Just the picture, Geometry. Thanks.
Angle 1 is congruent to ∠5 as they are corresponding angles on a transversal .
Option (d) Angle 4Angle 4 is congruent to ∠5 as they are alternate interior angles .
Select True or False for each statement.
A.16.302 rounded to the nearest whole number is 16 feet per second.
Select True or False for each statement.
16.302 rounded to the nearest whole number is 16 feet per second.
16.302 rounded to the nearest tenth is 16.3.
16.302 rounded to the nearest hundredth is 16.31.
16.302 rounded to the nearest tenth is 16.3.
C.16.302 rounded to the nearest hundredth is 16.31.
Answer:
True
True
False
Lucia wishes to advertise her business, so she gives packs of 6 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Lucia realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color? Flyers
Answer:
12
Step-by-step explanation:
No. of red flyers = 6
No. of blue flyers = 4
We need to find the minimum number of flyers of each color if she gave out the same number of red and blue flyers. For this we must find the LCM of 6 and 4.
Prime factorization of 6 = 2×3
Prime factorization of 4 = 2×2
Lowest common multiple of 6 and 4 = 12
Hence, there are 12 minimum number of flyers of each color
Write 45 as a product of primes.
Use index notation where appropriate.
Write an algebraic expression for the statement.
The cost of m pounds of meat when the cost per pound is $3.54.
Answer:
y=3.54m
Step-by-step explanation:
it is pretty self explanatory
An algebraic expression for the statement could be as; y = 3.54m
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.
Thus which can also be used to indicate the logical syntax's order of operations and other features.
We need to write an algebraic expression for the statement.
Given that The cost of m pounds of meat when the cost per pound is $3.54.
Therefore, the expression could be as;
y = 3.54m
hence, An algebraic expression for the statement could be as; y = 3.54m
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
Which relation is also a function?
{(-1, 3), (0, 2), (3, -1), (3, 2)} {(2,-4), (2,-2), (2, 1), (2, 3)}
{(0, 3), (1, 2), (1, 4), (2.1)}
{(-4,-3), (0.-3). (1, -3), (4, -3)}
Answer:
{(-4,-3), (0, -3,) (1, -3), and (4,-3)}
Step-by-step explanation:
There can only be one y- output for each x-input. Every other answer is a relation because there are multiple y-values for an x-value.
Answer:
The second one.
Step-by-step explanation:
A function can have two of the same inputs, but not two of the same outputs.
In the first one, the output 2 is found more than once.
In the third one, the output -3, is also found more than once.
The second one has completely unique numbers for both the input and output.
Drag the ruler and protractor over the sides and angles to
measure them.
1 y 6
Use the interactive tool to determine if the two triangles
are congruent. Then, select the true statement.
O AABC AEFG
4
Ο ΔΑΒC 2 ΔΕEG
2
O AABC - AGEF
The triangles are not congruent.
-6
-4
-2
| A2
2
4
-2
4
-B В
-6
the triangles are congruent. if you measure by eyes only you can see the values how they mark up on the graph. so the first option a the triangles are congruent like ABC is congruent to EFG is correct
The triangles are congruent so The correct answer is option A.
ΔABC ≅ ΔEFG
What is a congruent triangle?These are those angles that have been measured and found to have the same three sides and the angles that they have are also the same.
Therefore from the question, the sides of these angles are the same and their angles are the same.
Read more on congruent triangles here
https://brainly.com/question/1675117
54/x = 9/7
What does X=
Answer:
the answer is 42.
Step-by-step explanation:
9 times 6 is 54.
7 times 6 is 42.
Answer:
It'd be 486/7 or 69 and 3/7
Step-by-step explanation:
Flavia needs to build a fence around her dog house, as illustrated on the coordinate grid below. If each unit represents 1 foot, what is the total length of Flavia’s fence in feet?
Answer:
I would say your answer is (D
There were 5 boys for every 7 girls at Rayville High School last year. If there were 420 students at the school, how many were girls?
Answer:
240
Step-by-step explanation:
Write the inequality. Lawyers work up to 80 hours a week. (Use x for your variable)
I need some help with geometry!
Answer:
vertical
Step-by-step explanation:
(2x−6)+4(x−3) i need this answer
Answer:
(2x-6)+4(x-3)
2x-6+4x-12
6x-18
6(x-3)
Match the equation on the left with its solution(s) on the right.
According to.the order of operation, which of the following operations should be completed first in the following expression 2(5-3)^3+6^2
Answer:
Step-by-step explanation:
PEDMAS
P - Parenthesis
E - Exponents
D - Division
M - Multiplication
A - Addition
So, 2(5-3)^3+6^2
5 - 3 should be completed first as it is inside parenthesis
2(5-3)^3+6^2 = 2 *2^3 + 6^2
= 2 * 8 + 36 {exponents}
= 16 + 36 {Multiplication}
= 52
What’s the value of X ?
Answer:
x=25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
(2x+2)+(5x+3)=180
A store sells new video games for $45 each. Used video games sell for $18 each. Alex is buying 2 new video games and x used video games. Which equation can be used to find y, the total price Alex must pay in dollars?
Answer:
u = t/18 - 5
Step-by-step explanation:
45n + 18u = t where t is the total price, n is the number of new video games, and u is the number of used video games
plug in two:
90 + 18u = t
solve in terms of u:
18u = t - 90
u = t/18 - 5
can i get a thanks and brainliest please?
Which one of the following words is a pronoun A) Two B) Him C) Boys D) Go
Answer:
I believe it is Him.
Step-by-step explanation:
Answer:
B) Him
Step-by-step explanation:
Him refers to someone else, and that is exactly what a pronoun does!
PLEASE HELP I AM BEING TIMED.
A frame designer is making a triangular frame. she has two sides of length 20 inches and 28 inches. What are the possible lengths for the third side?