Answer:
we conclude that the relationship between distance and time is NOT proportional.
Hence, she did not drive at a constant speed.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
where 'k' is called the constant of proportionality.
In our case, the table shows the distance Allison drove on one day of her vacation.
Time (h) 1 2 3 4 5
Distance (mi) 55 100 165 280 250
using the equation
k = y/x
susbtitute y = 55, x = 1
k = 55/1 = 55
substitute y = 100, x = 2
k = y/x
k = 100 / 2 = 50
substitute y = 165, x = 3
k = y/x
k = 165 / 3 = 55
substitute y = 280, x = 4
k = y/x
k = 280 / 4 = 70
substitute y = 250, x = 5
k = y/x
k = 250 / 5 = 50
It is clear that the value of 'k' does not remain constant.
Therefore, we conclude that the relationship between distance and time is NOT proportional.
Hence, she did not drive at a constant speed.
Given that
a = 5,b = –2 and c = -2
work out
2b – 3ac
Answer:
[tex]2b - 3ac \\ a = 5 \: \: \: \: b = - 2 \: \: \: c = - 2 \\( 2 \times - 2 )- (3 \times 5 \times - 2) \\ (- 4) - ( - 30) \\ - 4 + 30 = 26[/tex]
Someone pls help me now
Answer:
A
Step-by-step explanation:
Distance divided by time
90 divided by 3 is 30
30 miles in an hour
need help i don’t understand!
When solving for a coefficient the variable to look for is 1
I need help please please please
Answer:
252 is anwer.
Step-by-step explanation:
please mark me brainliest and follow me my friend.
I believe the answer is C.
[tex]252\pi ^{2}[/tex]
1. Find the area of the triangle. 3 yd 10 yd 6.5 yd? 30.0 yd2 13.0 yd2 15.0 yd2
Answer:
Step-by-step explanation:
1/2(6.5 x 3) = 9.75
you want to do 1/2bh.
So, take the two legs (3 and 6.5) and multiply them and then multiply them by 1/2
The area of the given triangle is expressed as: 15.0 yd²
What is the area of the triangle?The formula to calculate the area of a triangle is expressed as:
A = ¹/₂ * b * h
where:
A is area
b is base
h is height
We are given:
b = 10
h = 3
Thus:
A = ¹/₂ * 10 * 3
A = 15.0 yd²
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what is slope
(4,5)and (4,7)
Answer:
x=2
Step-by-step explanation:
the slope is vertical meaning it is undefined.
Answer:
The slope is 2
Step-by-step explanation:
input output
4 5
4 7
The difference between 4 and 4 is 0
The difference between 5 and 7 is 2
Therefore, your slope is 2
275% of 12
HELP ME PLSSSSS
Answer:
33
Step-by-step explanation:
275*12 /100 =33
have a nice day!!
Answer:
33 love
Step-by-step explanation:
Each exterior angle of a regular n-gon has a measure of 9º. How many sides does the polygon have?
Answer:
40
Step-by-step explanation:
All exterior angles of any regular n sided polygon add up to 360 degrees.
360/9=40
Find the prime factorization of 54, and then write in Standard Form, Expanded Form, and Exponential Form.
Answer:
Step-by-step explanation:
2 * 3 * 3 * 3
The prime factors of 54 are given as the below listed.
Prime factors = 2 x 3 x 3 x 3
In factorisation and expansion, we can also write it as { 2, 3, 3, 3 }
If it needs to be written in exponential form, we have
Written in exponential form, we get 2^1 * 3³
If it needs to be written in standard form, we have, 5.4 * 10^1 or 54 * 10^
If need be and we are asked to find the expanded form which is
50 tens + 4 units
a 13-foot long ladder leans against the wall. the foot of the ladder is at a distance of 5 feet from the base of the wall.
What is the distance, in feet, from the ground to the ladder?
Answer:
The distance, in feet, from the ground to the ladder is 12 feet.
Step-by-step explanation:
To answer this question, we must use the Pythagorean Theorem- a^2+b^2=c^2. C is the hypotenuse, and a and b are legs.
We have: 5^2+b^2=13^2
Simplifying: 25+b^2=169
Subtracting 25 from both sides: b^2=144
B=12.
help please! answer correctly for brainliest . ( look at picture for question and answer choices )
Answer:
D
Step-by-step explanation:
It starts above the ground (at Henry's height) and ends above the ground (in the bush).
27< 3+5x+4
“With a step-by-step explanation be specific”
Answer:
[tex]27 < 3 + 5x + 4 \\ 27 < 7 + 5x \\ 27 - 7 < 5x \\ 20 < 5x \\5x > 20 \\ x > \frac{20}{5} \\ \boxed{x > 4}[/tex]
x>4 is the right answer.3.3142 pounds converted into kilograms
Answer:
7.30656029
Step-by-step explanation:
Answer:
1.50329583
Step-by-step explanation:
FORMULA
for an approximate result, divide the mass value by 2.20462262
Please help me ASAP!!! Will give Brainliest!! Fairly easy geometry problem!!
Answer:
4. "The quadrilateral is regular" does NOT guarantee that a quadrilateral is a square.
Answer:
D. The quadrilateral is regular.Step-by-step explanation:
The first three descriptions give us a square.
The last one is not necessarily a square. It could be a trapezoid or kite and doesn't guarantee a square.
[tex]9 - 3 \div \frac{1}{3} + 1[/tex]
i need help with math problem
Given:
The expression is
[tex]9-3\div \dfrac{1}{3}+1[/tex]
To find:
The value of given expression.
Solution:
We have,
[tex]9-3\div \dfrac{1}{3}+1[/tex]
BODMAS : Bracket, Order, Division, Multiplication, Addition, and Subtraction.
Using BODMAS, first we need to perform division in the given expression.
[tex]=9-(3\div \dfrac{1}{3})+1[/tex]
[tex]=9-(3\times 3)+1[/tex]
[tex]=9-9+1[/tex]
Now, apply addition.
[tex]=(9+1)-9[/tex]
[tex]=10-9[/tex]
Now, apply subtraction.
[tex]=1[/tex]
Therefore, the value of given expression is 1.
The local linear approximation to the function h at x= -4 is y= -4x - 1. What is the value of h(-4) + h'(-4)?
Answer:1/4o the fourth power equals 4
St1/4o the fourth power equals 4ep-by-step explanation:
A kite is 14 ft off the ground and a horizontal distnace of 29 feet awat from you what is the angle measure of x
Answer:
28.9°
Step-by-step explanation:
This is a Trigonometry question
From the above, question,
The horizontal distance = Adjacent = 29 feet
The distance of the kite from the ground = Opposite= 14 feet
We solve using the Trigonometric function of Sine
sin θ = Opposite/Adjacent
sin θ = 14/29
θ = arc sin (14/29)
θ = 28.865727415°
Approximately = 28.9°
Therefore, the angle measure of x = 28.9°
Answer:the angle measure of x = 28.9°.
Step-by-step explanation
The distance of the kite from the ground = Opposite= 14 feet ... θ = arc sin (14/29) ... Therefore, the angle measure of x = 28.9°.
I NEED HELP ON THIS QUESTION ASAP ANSWER ALL PLEASE
Answer:
the mean is 9 and the median is 8
Step-by-step explanation:
Mean: (1+8+13+12+2)÷5=9
(plus all the numbers then divide it by the number of numbers)
Median: set the numbers in order (1 2 8 12 13) then it's the number in the middle so 8
Simon is tracing the path of a lizard on a wall. The table below gives the relationship between the lizard's height from the ground, y, in feet, and the horizontal distance, x, in feet, of the lizard from the starting point. Distance (feet), x 1 2 3 4 3 Height (feet), y 5 6 7 8 9 Which of the following describes the table? A. a relation only B. both a relation and a function C. a function only D. neither a function nor a relation
Answer:
I think, Option B is correct..The table is a relation and a function
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
f ( x ) = { 5 , 6 , 7 , 8 , 9 }
Now , the input values of the function are
x = { 1 , 2 , 3 , 4 , 5 }
where a relation is a set of ordered pairs (x, y) where there is a relationship between the first element (x) and the second element (y)
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Hence , the table is a function and relation
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how do you solve this question and explanation -8=c/-10
Answer:
c=80
Step-by-step explanation:
multipy both sides by -10
-8*-10=80
Answer:
80=c
Step-by-step explanation:
-8=c/-10 set up equation
-8(-10)=c multiple both sides by -10
80=c multiple -8*-10, two negative equal a postive
Charlie runs laps around a track. the table shows how long it takes him to run different numbers of laps. how long will it take Charlie to run five laps?
Answer:
20 (minutes)
Step-by-step explanation:
Look at the first columns, and it tells us that Charlie runs 2 laps in 8 minutes. Then simply divide by two, then you'll get that Charlie runs 1 lap in 4 minutes. So for five laps, multiply 4 by 5, which is 20.
In the figure below, PQT and SRT are straight lines
and IQT| = RT|. Find QPR.
P
Answer:
this is a required answer.
I need help on this I really don't have a clue on how to do this
Answer:
The third one i think
Step-by-step explanation:
PLEASE HELP NEED ANSWER ASAP!!!!!!!!!!!!!!!!
Answer:
sorry the image is not their
Step-by-step explanation:i would help if you give me the picture.
jenna is making pancakes, but she want to do it half. for full recipe she needs 1 1/2 cups of flour. how much does flour does she need for a half of the recipe?
Answer:
3/4 cup flour
Step-by-step explanation:
Answer:
3/4 cups is half of 1 1/2 cups. She will need 3/4 cups of flower.
One angle of an isosceles triangle measures 40°. Which other angles could be in that
isosceles triangle? Choose all that apply.
40°
70°
100°
20°
Answer:
40 and 100
Step-by-step explanation:
WILL GIVE BRAINLIEST; I NEED HELP ASAP PLEASE
Answer:
Step-by-step explanation:
A
4x +
* + 6y - 3x +7
How
many terms are in the above expression?
A
1
B
2.
3
D
4
Answer:D
Step-by-step explanation:
please solve the following:
1. 5x=2
2. At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?
A. $13
B. $52
C. $39
Answer:
$39
Step-by-step explanation:
because there is 3 of them and they each pay $13 dollars just add it together or 13x3
Answer:
x = -3 and 52
Step-by-step explanation:
5x=2
subtract both sides by 5
5x-5 = 2-5
x = -3
2.
there are a total of 4 people because in the question it said mike and his 3 friends.
they each paid $13 and there are 4 people in total
we multiply 13 * 4 = 52
$52
sentence with the product of 4/5 and 5/2 is greater than 4/5 which statement is true
I got 2 this statement is true
