The graph below plots a function f(x):
If x represents time, the average rate of change of the function f(x) in the first three
seconds is....
Answers
Answer:
-50
Step-by-step explanation:
The average rate of change is synonymous with the slope. Therefore, we will find the slope of the function from x=0 to x=3.
So, we will use the endpoints of the function.
At x=0, f(x)=150. Thus, we have the point (0, 150).
At x=3, f(x)=0. Thus, we have the point (3, 0).
Now, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 150) be (x₁, y₁) and let (3, 0) be (x₂, y₂). Substitute:
[tex]m=\frac{0-150}{3-0}=-150/3=-50[/tex]
Therefore, the average rate of change for the first three seconds is -50.
Related Questions
is this graph a function?
a. this is a function
b. this not a function
c. this cannot be determined from this graph
Answers
Answer:
A.This is a function
Step-by-step explanation:
Answer:
a. this is a function
Step-by-step explanation:
Coz If any vertical line intersects a graph more than once, the relation represented by the graph is not a function. SO THIS IS A FUNCTION.
A box of Fruit Rings cereal weighs 15.5 ounces. If there is approximately 0.04 ounces per gram, which best describes the weight, in grams, of a box of Fruit Rings?
Answers
Answer:
387.5 grams
Step-by-step explanation:
0.04 ounces = 1 grams
15.5 ounces = x grams
Cross Multiply
0.04 ounces × x grams = 15.5 ounces × 1 grams
x = 15.5 /0.04
x = 387.5 grams
The weight, in grams, of a box of Fruit Rings is 387.5 grams
Please help :(
Find the standard deviation of the set of data below to the nearest tenth.
14,11,9,6,10,16,15,13,9,12,19,10
Answers
Answer:
3.4 nearest tenth
Step-by-step explanation:
Standard Deviation, σ: 3.4399612400917
Count, N: 12
Sum, Σx: 144
Mean, μ: 12
Variance, σ2: 11.833333333333
Steps
σ2 = Σ(xi - μ)2
N
=
(14 - 12)2 + ... + (10 - 12)2
12
=
142
12
= 11.833333333333
σ = √11.833333333333
= 3.4399612400917
Hope this helps ya!
Sorry this didn't have the symbols I needed so that's why it's a little confusing.
Can y’all help me with dis question
Answers
Answer:
A i'm pretty sure
Step-by-step explanation:
A restaurant needs to set up 7 tables for the 34 member
of a high school science club. The restaurant has tables
that can seat 4 and tables that can seat 6. This system c
equations represents the combination of x, the number of
tables for 4, and y, the number of tables for 6, that will
exactly 34 people.
x + y = 7
4x + 6y = 34
How many tables that seat 6 should be set up?
Answers
Answer: 3 tables of six should be set up
Step-by-step explanation: 3 x 6 equals 18 and 4 x 4 equals 16 so you add those up and it equals 34 and with all seven tables
Which of the following is the value of expression 3y+5(x-8) when x=11 and y=2
Answers
Answer:
y=2
Step-by-step explanation:
that is it!!! I hope I'm correct..
Answer:
21
Step-by-step explanation:
Given
3y + 5(x - 8) ← substitute x = 11, y = 2 into the expression
= 3(2) + 5(11 - 8) ← evaluate parenthesis
= 6 + 5 × 3
= 6 + 15
= 21
It is currently 0 degrees outside and the temperature is dropping 4 degrees every hour. The temperature after h hours is -4h. Explain what the equation -4h = -14 represents.
_______________
What value of “h” makes this equation true?
_______________
Answers
Answer:
-4x3.5=-14
Step-by-step explanation:
divide -14 by -4 wich = 3.5
Explanation : if you divide - 14 with - 4 it equals to 3.5
Sorry if I get this wrong
In the figure below, 7 ||
m. Find x.
Answers
Answer:
96
Step-by-step explanation:
What additional information is required in order to know what triangles are congruent
Answers
(m 5/6) (m1/6) ^7 = m^x
Answers
Answer:
x = 2
Step-by-step explanation:
Here, we want to find the value of x
(m^5/6)(m^1/6)^7 = m^x
= (m^5/6)(m^7/6) = m^x
Using the law of indices for power multiplication
m^(5/6 + 7/6) = m^x
m^(12/6) = m^x
m^2 = m^x
we simply equate the powers in this case since the base are equal
Thus we have
x = 2
Which theorem is used here
SAS
ASA
AAS
SAS
HL
Answers
Answer:
ASA i believe
Step-by-step explanation:
there are two angles that are equal then two sides then vertical angles
Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
lcm??????????
Answers
Answer:
LCM is 36
Step-by-step explanation:
9 x 4 = 36
12 x 3 = 36
How can I solve this?
Answers
Answer:
? = 130°
Step-by-step explanation:
The sum of all angles inside a triangle is always 180°.
180 - 20 - 30 = 130°
130° is vertical to the ?, therefore, the ? = 130°
hope this helps :)
CAN SOMEONE PLEASE HELP ME
Answers
Answer:
what are the answers
Step-by-step explanation:
Answer:
dialation of 3
Step-by-step explanation: it gets 3x bigger
please help will give brainiest
Answers
❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex]percent \: \: of \: \: boys = \frac{42 - girls}{42} \times 100 \\ [/tex]
❤❤❤❤❤❤❤❤❤❤❤❤❤
42
42 is the total and 35 are the girls on the class band.
Hope this helps :D
PLEASEEEE HELPPPPP♥️♥️♥️
Answers
Answer:
I believe its A !
Explanation:
Since one angle and one side are given, a different angle can prove that its ≅
You would be using ASA
Mary has a new puppy. The puppy weighs 5 pounds and is 20% of it's adult weight. What would the puppy's adult weight be?
Answers
Answer:
The puppy's adult weight would be 25 lbs.
Step-by-step explanation:
5 / .20 = 25
To check:
25 x .20 = 5
I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day! :)
5m + 4/5
=7 solve pls give step by step
Answers
5m + 4/5 = 7
=> 5m = 7 - 4/5
=> 5m = 35/5 - 4/5
=> 5m = 31/5
=> m = 31/5×5
=> m = 31/25
Let’s think about another type of scenario. What if you were told that a bracelet requires 10 beads and 10 minutes to make while a necklace requires 20 beads and takes 40 minutes to make. The craftsman has 1000 beads to work with and he has 1600 minutes in which to work. If a bracelet costs $5 and a necklace costs $7.50, what is the maximum revenue that the craftsman can take in?
There are four inequalities in this situation. Let b be the number of bracelets made and n be the number of necklaces made. The system of inequalities for this situation is:
Answers
Hi, your question appears to be unclear. However, I inferred this to be a linear programming problem.
Answer:
$500
Step-by-step explanation:
To begin we need to state the system of inequalities for this situation (constraints):
For the number of available beads: [tex]10b + 20n \leq 1000[/tex] where b represents the number of bracelets made, and n represents the number of necklaces made.For the available time to make the jewelry: [tex]10b+40n\leq 1600[/tex][tex]b\geq 0[/tex][tex]n\geq 0[/tex]From the question, we note we are required to find the maximum revenue that the craftsman can take in. In other words, the optimization equation is [tex]5b+7.5n[/tex] = maximum revenue (taking note that a bracelet costs $5 and a necklace costs $7.50)
Next, we are to plot the inequalities on a graph to determine the feasible region: Doing so should give us these main vertices: (0,0) (0,40) (40,30 (100,0).
By substituting the vertices into the optimization equation (replacing b, and n) we can determine which quantity gives the maximum revenue:
For (0,40) ⇒ 5(0) + 7.5(0) = $0
For (0,40) ⇒ 5(0) + 7.5 (40) = $300
For (40, 30) ⇒ 5(40) + 7.5 (30) = $425
For (100, 0) ⇒ 5(100)+7.50(0) = $500
We notice that at point (100, 0) we have a maximum revenue of $500.
Which rate has the same unit rate as 126 miles in 9 hours.
would it be
a 96miles in 6 hours
b 42 miles in 3 hours
c 80 miles in 5 hours
d 112 miles in 7 hours
Answers
Answer: THE ANSWER IS C
Step-by-step explanation:
En una fiesta hay 40 asistentes de los cuales el número de varones que no bailan es el doble que el número de las mujeres que no bailan en un determinado momento. Si en ese instante se escoge un varón al azar, ¿cuál es la probabilidad que no este bailando si 5 mujeres están bailando?
Answers
Answer:
50%
Step-by-step explanation:
Para resolver este problema vamos a definir 4 variables:
V= número de varones bailando.
M= número de mujeres bailando.
V' = número de varones que no están bailando.
M' = número de mujeres que no están bailando.
Sabemos que hay 40 personas en la fiesta, por lo que podemos construir la siguiente ecuación:
V+M+V'+M'=40
Vamos a suponer que cada mujer que está bailando, está bailando varón respectivamente. (El problema no da más información, entonces podemos suponer esto.)
Entonces si hay 5 mujeres bailando, entonces también hay 5 hombres bailando, por lo que nuestra ecuación se reescribe de la siguiente manera:
5+5+V'+M'=40
y simplificamos:
10+V'+M'=40
V'+M'=40-10
V'+M'=30
Ahora bien, el problem nos dice que el número de varones que no bailan es el doble del número de mujeres que no bailan en un determinado momento. Entonces con esta información podemos construir la siguiente ecuación:
V'=2M'
Y podemos despejar el número de mujeres que no bailan, lo que nos da:
[tex]M'=\frac{V'}{2}[/tex]
Entonces podemos sustituir esto dentro de nuestra ecuación para obtener:
[tex]\frac{V'}{2}+V'=30[/tex]
y podemos entonces despejar V'
[tex]\frac{3V'}{2}=30[/tex]
[tex]V'=\frac{2(30)}{3}[/tex]
V'=20
Entonces hay 20 varones que no están bailando, por lo que la probabilidad de que el varón que se escoge al azar no esté bailando está dada por la siguiente fórmula:
[tex]P=\frac{V'}{total}[/tex]
[tex]P=\frac{20}{40}=\frac{1}{2}[/tex]
P=50%
Please help me!! I have no idea how to solve this. I have two more like this and if you answer this one correct I will ask you if you could solve the other two and give you 15 for each question.
Answers
Answer:
A
Step-by-step explanation:
The x-intercept is the point at which the graph crosses the x-axis, find where y=0, then find the x for that point, so it’s A.
The equation of a curve is y = a^x
Q is the point where the curve intersects the y-axis.
Write the coordinates of Q.
Answers
Answer:
Q(0, 1 )
Step-by-step explanation:
To find where the curve crosses the y- axis let x = 0 in the equation and evaluate for y, that is
x = 0 → y = [tex]a^{0}[/tex] = 1 , thus
Q(0, 1 )
If the equation of curve is y=[tex]a^{x}[/tex] and Q is the point where the curve intersects the y axis then the coordinates of Q are (0,1).
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to find coordinates?We have been given an equation y=[tex]a^{x}[/tex]and we have to find the coordinates of point Q which is the point where the line touches y axis. When a line touches the y axis, it's x coordinate will be zero. So in order to find the y coordinate we have to just put x=0 in the given equation.
y=[tex]a^{x}[/tex]
y=[tex]a^{0}[/tex]
y=1 (We know that something of power 0 is equal to 1)
Hence if the equation of curve is y=[tex]a^{x}[/tex] and Q is the point where the curve intersects the y axis then the coordinates of Q are (0,1).
Learn more about equations at https://brainly.com/question/2972832
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In Triangle DEF, the sum of the measures of Angle D and Angle E is 110. The sum of the measures of Angle E and Angle F is 150. Find the sum of the measures of Angle D and F.
Answers
The required sum of the measures of angles D and F is 260 degrees.
Let's represent the measures of angles D, E, and F as D, E, and F, respectively.
From the given information, we have the following equations:
D + E = 110 (The sum of the measures of angles D and E is 110)
E + F = 150 (The sum of the measures of angles E and F is 150)
Now, we want to find the sum of the measures of angles D and F, which is D + F.
To find D + F, we need to eliminate E from the equations. We can do this by adding equations (1) and (2):
(D + E) + (E + F) = 110 + 150
Now, the E terms cancel out:
D + F = 260
So, the sum of the measures of angles D and F is 260 degrees.
Learn more about angles here:
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1.6 is 8% of what???
Answers
Answer:
It would be 20!
Step-by-step explanation:
Answer:
1.6 is 8% of 20
Step-by-step explanation:
Determine the number that can be used in place of the question mark to make the equation true.
(1/5)^?= 25
The solution is
Answers
x = -2
Since when it’s a fraction, the result is negative.
The solution is -2
15 is 1 1/2% of what number
Answers
Answer:
the answer is 23.
Step-by-step explanation: 20/15=1.5333333333......=1 1/2
The number is given by equation A = 1000
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the equation will be
15 is 1 1/2 % of the number A
Substituting the values in the equation , we get
15 = 1.5 % of A
On simplifying the equation , we get
15 = ( 1.5 / 100 ) x A
Multiply by 100 on both sides of the equation , we get
1.5A = 1500
Divide by 1.5 on both sides of the equation , we get
A = 1500/1.5
A = 1000
Therefore , the value of A is 1000
Hence , the number is 1000
To learn more about equations click :
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Find the 22nd term of the arithmetic sequence whose common difference is d=4 and whose first term is a, = 3 PLEASE HELP! :(
Answers
Answer:
22nd term is 81
Step-by-step explanation:
In order to find the answer to this question you have to realize that the common difference is the rule the arithmetic sequence goes by, so all you have to do is add four to three, twenty two times or multiply the first term by
[tex]a =3[/tex]
[tex]d=4[/tex]
[tex]3+4=7+4=11+4=15+4=19+4=23+4=27+4=31+4=35+4=39+4=33+4=37+4=41+4=45+4=49+4=53+4=57+4=61+4=65+4=69+4=73+4=77+4=81[/tex]
[tex]a=81[/tex]
Hope this helps.
Is this correct, i did 21.5 times 33.6 and converted it to yards to the nearest tenth and i got 80.3
Answers
Answer:
Thats what i got too :)
Step-by-step explanation:
You have the correct answer. It is 80.3 square yards.
Work Shown:
Area of parallelogram = length*width = 21.5*33.6 = 722.4 sq ft
1 yard = 3 ft
1 sq yd = 9 sq ft ... square both sides
To convert from square feet to square yards, we'll divide by 9
This is the same as multiplying by 1/9
722.4 sq ft = (722.4 sq ft)*(1 sq yd/9 sq ft)
722.4 sq ft = (722.4)*(1/9) sq yards
722.4 sq ft = 80.2667 sq yards
722.4 sq ft = 80.3 sq yards
whats 80000000000000x200000004500
Answers
Answer:
80000000000000x200000004500 =
1.6e+25 which is essentially 1.6 with 25 0's after it
Step-by-step explanation:
May I have brainliest please? I'm trying to get 15 and I'm so close :)