PLEASE ANSWER 20 POINTS
The following steps show how the equation for the average rate can be transformed so that it is written in terms of only the rates for each leg of the trip. Write an algebraic justification for each step. Think about the number operations and properties that you know.
Answer:
Step-by-step explanation:
Step 1:
Sum of fractions in the denominator making cross product:
d / r1 + d / r2
Resulting:
d * r2 + d * r1 / (r1 * r2)
Step 2:
Multiply numerator and denominator by the following expression:
(r1 * r2) / (d * r2 + d * r1)
Step 3:
Take common factor in the denominator of the expression in step 2.
Resulting:
(d * r2 + d * r1) = d * (r2 + r1)
help plz help
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Answer:
See belowStep-by-step explanation:
9 a)
8 + 3/4 = 8.75 cmb)
10 + 5 + 3 = 18 kgc)
1 + 1/5 = 1.2 l10 a)
65 - 1 = 64 cmb)
100 + 100 * 2.5/4 = 162.5 mlc)
20 + 4.2 = 24.2° CHELPPP PLEASE I GIVE BRAINLIEST
Answer:
3 1/2
Step-by-step explanation:
3/7 = 0.429
1/2 = 0.5
Hopefully this helps!
Brainliest please?
4343555555555555555X466666666666646
In a trial, an expert witness uses the conservation of momentum to demonstrate which initial velocities would give the final states that occurred in the accident. Can using the conservation of momentum be justified in this case? Yes, because momentum is conserved in all collisions. No, momentum is only conserved in elastic collisions which this is not. No, energy is always conserved, but momentum is only sometimes conserved. Yes, because momentum is conserved in inelastic collisions which all car accidents are.
Answer:
Yes, because momentum is conserved in all inelastic collisions which all car accidents are
Step-by-step explanation:
What is law of conservation of momentum?
It states that In a equilibrium the initial momentum is equal to to the final momentum of the body
Or
[tex]\\ \sf\longmapsto \Delta P=P[/tex]
Answer:
• Yes, because momentum is conserved in all collisions.
Step-by-step explanation:
→ Elastic collision, inelastic collision and perfectly inelastic collision, linear momentum is conserved assuming no external forces acting on the system.
In elastic collision
[tex] \dashrightarrow \: { \tt{m _{1}u _{1} + m _{2} u_{2} = m_{1}v_{1} + m_{2}v_{2}}} \\ [/tex]
In inelastic collision
[tex] \dashrightarrow \: { \tt{m_{1}u_{1} + m_{2}u_{2} = (m_{1} + m_{2})v}}[/tex]
Find the average rate of change of this function:
Answer:
A slope of the line over the interval of [-6, -1] is ⅕ as illustrated in the graph above
x-5<2 or x-5>7
The solutions to the compound iniquity are _ or _.
Answer:
from your DVR to record the points you like
Step-by-step explanation:
because I only want the points
khan acdemy vdieo on Compound inequalities:
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/v/compund-inequalities
Find the average rate of change of f(x)=4x^2-6 on interval [1,a]
9514 1404 393
Answer:
4a +4
Step-by-step explanation:
The average rate of change of f(x) on the interval is ...
(f(a) -f(1))/(a -1)
= ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)
= 4(a² -1)/(a -1) = 4(a +1) = 4a +4
The average rate of change on the interval is 4a +4.
the temperature was 80degrees F and then fell 20 degrees F. draw a diagram to represent.
94. Birth Rate of Unmarried Women In the United States, the birth rate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modeled by the function B(a) = -0.33a + 19.17a-213.37. (a) What is the age of unmarried women with the highest birth rate? 29.0 years (b) What is the highest birth rate of unmarried women? (e) Evaluate and interpret B(40).
Using concepts of quadratic equation, we have that:
a) The age of unmarried women with the highest birth rate 29 years.
b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.
c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.
The birth-rate for women of age a is given by:
[tex]B(a) = -0.33a^2 + 19.17a - 213.37[/tex]
Which is a quadratic equation with coefficients [tex]a = -0.33, b = 19.17, c = -213.37[/tex]
Item a:
The age with the highest value is the a-value for the vertex, which is:
[tex]a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29[/tex]
The age of unmarried women with the highest birth rate 29 years.
Item b:
The rate is B(29), which is:
[tex]B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65[/tex]
The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.
Item c:
[tex]B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43[/tex]
B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.
A similar problem is given at https://brainly.com/question/24626341
PLEASE HELP ME ITS ALGEBRA THANKSSSS
Answer:
24 kg
Step-by-step explanation:
21 kg every 7 hr
21kg/7hr = 3kg/hr
This means he prepares 3 kg of dough every hour.
After working 8 hours, he would have prepared (3kg)(8) = 24kg of dough
Question 10 (5 points)
The graph of linear function k passes through the points (-3, 0) and (1, 8).
Which statement must be true?
O The graph of k passes through (-1,
- 8)
The zero of kis 3
The x-intercept of the graph of kis - 3
O
The slope of the graph of kis-
3
4
Please help I will give brainliest
The graph of linear function k passes through the points (-3, 0) and (1, 8) for this the true statement is given by the x-intercept of the graph of k is - 3.
As given,
Graph of the linear function k passes through the points :
(x₁ , y₁)=(-3, 0)
(x₂, y₂)=(1, 8)
Equation is given by :
(y-0)/(x+3)=(8-0)/(1+3)
⇒y=2(x+3)
⇒y=2x+6
Slope=2
X-intercept by putting y=0
x=-3
Therefore, graph of linear function k passes through the points (-3, 0) and (1, 8) for this the true statement is given by the x-intercept of the graph of
k is - 3.
Learn more about graph here
brainly.com/question/17267403
#SPJ1
A line passes through (-2,4), (-4, 8), and (n, -4). Find the value of n.
Answer: n = 2 ....... (2, -4)
Step-by-step explanation:
To find n, one must write the equation for the points given, which are (-2, 4) and (-4, 8). Remember, the standard linear equation is y = mx + b, where m is the slope of the line.
To find the slope, refer back to (y2-y1)/(x2-x1), or in this case, (8-4)/(-4+2), which gives us -2
With our slope of -2, we can write the equation as y = -2x+b. Now, we need to find b (the y-intercept) by plugging in a point as (x,y)
Let's use (-4,8) point and plug it into our linear equation: y = -2x+b
to get 8=(-2)(-4) +b
8=8+b
0=b (which means our y-intercept is 0)
Now, our official linear equation is y=-2x
The problem gives us (n, -4) where -4 y, so we plug in -4 as y in the equation to get:
-4=-2x
-4/-2=x
2 = x
And there we go :) I hope this helps!
Answer:
The value of n = 2.
Step-by-step explanation:
Given the following points passing through a line, (-2, 4), (-4, 8), and (n , -4) wherein we must find the value of n:
It helps to determine the equation of the line, using the slope-intercept form: y = mx + b, where:
m = slope (rate of change), which measures the steepness of the line.b = y-coordinate of the y-intercept; it is the point on the graph where it crosses the y-axis. Slope:In order to solve for the slope of the line, use the following slope formula:
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Let (x₁, y₁) = (-2, 4)
(x₂, y₂) = (-4, 8)
Substitute these values into the slope formula.
[tex]\displaystyle\mathsf{m =\:\frac{y_2 - y_1}{x_2 - x_1}}[/tex]
[tex]\displaystyle\mathsf{m =\:\frac{8 - 4}{-4 -(-2)}\:=\:\frac{4}{-4+2}\:=\Frac{4}{-2}\:=\:-2}[/tex]
Hence, the slope of the line is: m = -2.
Y-intercept:Next, we must solve for the y-intercept. Since it is the point where the graph crosses the y-axis, set x = 0 and solve for the value of y.
Use the slope, m = -2, and one of the given points, (-2, 4), and substitute these values into the slope-intercept form to solve for the value of the y-intercept, b:
y = mx + b
4 = -2(-2) + b
4 = 4 + b
Subtract 4 from both sides:
4 - 4 = 4 - 4 + b
0 = b
The y-intercept is: b = 0.
Linear Equation in Slope-intercept Form:Therefore, the equation of the line in slope-intercept form is:
y = -2x + 0 or y = -2x.
Find the value of n in (n, -4)In order to determine the value of n, substitute its corresponding y-coordinate, -4, and substitute into the equation in the previous step:
Set y = -4:
y = -2x
-4 = -2x
Divide both sides by -2 to solve for x:
[tex]\displaystyle\mathsf{\frac{-4}{-2}\:=\:\frac{-2x}{-2}}[/tex]
x = 2
Therefore, the value of n = 2.
It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?
If it takes 1 pizza to feed 3 people and you invite 36 people, you can divide 36 by 3 to get the answer -
36/3 = 12
You will need 12 pizzas.
if six pencils cost 0.59 how many pencils can you buy for $2.95?
Answer:
5.
Step-by-step explanation:
how?
Divide 2.95 by 0.59 that would equal 5.
Plz if anyone understands this i really need an answer cuz I’m going to fail math i only have a 56% in math rn so plz help me
89/ (5/9 + 6/7)
A preson is taking test averages__________minute to read a question and ___________ minutes to answer the question it takes the person __________ minute to answer all the questions how many questions are on the test
Answer:
How long should it take to finish a 25-question test? If you give students an average of 30 seconds to one minute to answer the questions, then the average time to finish a test of this size would be around 15-30 minutes. Of course, some questions would take more time and some less.
Step-by-step explanation:
Find the value of x.........
Answer:
Would x not be 70 degrees as it corresponds to the 70 on the bottom line?
Step-by-step explanation:
Need helpppppppppppppppppp
Answer:
Add all the numbers in the data set together, then divide by the number of items in the data set. The result is the median value.
So:
70+61+50+48+45+43+40+39+35+32=x
x÷10=?
At the Olympic Games, a runner won the 26.2 mile marathon race in 2 hr 4 min and 1 second. What was his average speed in mph and Km/h? Type an integer or a decimal rounded to the nearest tenths as needed. Thanks!
The average speed of the runner is 12.7 mph and 20.4 km/h
Given that the runner ran 26.2 mile in 2hr and 4 minutes, we start of by converting the time from hours and minutes into minutes and finally hours, since hours is what we need. So, we have
2hr = 120mins
+ 4 mins = 124 mins
124 mins ÷ 60 hour/mins = 2.06 hours.
This means that the runner finished the race in 2.06 hours.
If we are to find the average speed in mile per hour, we have
Average speed = distance ran ÷ time taken
Average speed = 26.2 ÷ 2.06
Average speed = 12.7 mph
From the speed in mph, we can directly convert it to km/hr by saying
1 mph = 1.609 km/h
12.7 mph = 12.7 * 1.609 = 20.4 km/hr
for more, check: https://brainly.com/question/1989219
I will mark brainlist please help!!
1) in a dilation of a figure, the distance between two consecutive vertices does not change
• true
• false
2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25
• J (2,1) K (2,2) L (1,2)
• J (-2,1) K (4,2) L (1,0.5)
• J (1,2) K (2,2) L (1,0.5)
Complete the following magic square using the whole numbers 1-9. (Each row, column, and diagonal must have the same sum.)
6
1
1
8
00
Answer:
611800
Step-by-step explanation:
is the answer
i think
There are 31 students in a class and 61.3% of these students passed their Math Applications test. What number of these students passed their test? Round your answer to the nearest whole number if necessary.
Answer:
19
Step-by-step explanation:
Alr so.
what you have to do is first convert yourpercentage into a decimal and to do that you need to move the decimal 2 places to the left like so-
61.3% ---> .613
Next you need to multiply 31 x .613 which gives you 19.003
or 19 Passed :)
enjoy!!!!
The graph of a function is given below.
Give all y-intercepts and x-intercepts shown.
If there is more than one answer, separate them with commas.
Click on "None" if applicable.
Answer:
Y-intercept=(0, 2)
X-intercepts=(-4,0) & (-2,0)
Step-by-step explanation:
X and y- intercepts are determined when they pass through either the x or y axis. If the line passes through the x axis it is the x-intercept and vice versa for y.
Hope this helped.
What is the value of the expression if q = 6 a n d r = 4
Answer:
66 (lmk if i'm wrong)
Step-by-step explanation:
9x6 + (16-4)
54 +12
66
Find the value of x......
Answer:
100
Step-by-step explanation:
Since, line a is parallel to line t ( from diagram ).
x - 30 and 70 are alternate interior angles.
Reason : -
Alternate interior angles are equal when two lines are parallel and cut by a transversal line.
x - 30 = 70
x = 70 + 30
x = 100
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
99000 millimeters kdknwjdhdiqkwpshd
Heres some more math, i'm terrible at these
Answer:
3rd Option
Step-by-step explanation:
2.7 × 10⁵ > 2.4 × 10⁴ > 3.1 × 10³
Assume that there are 11 girls and 10 boys in the neighborhood club, and a team of 8 is to be selected.
How many different teams can be selected if each team must contain both boys and girls?
Answer:2
Step-by-step explanation:
A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 15 cm?
Answer: 15 cm
Step-by-step explanation: So first, do 14 squared plus 7 sqaured. The answer is 245. And now let’s compare it to 22 cm and 15 cm. 22 squared is 484 and 15 sqaured is 225. 225 is closer to 245 than 484. Therefore, 15 is the correct answer.
you do not need a ________ when multiplying fractions and mixed numbers
Answer: you do not need a variable when multiplying fractions and mixed numbers
Step-by-step explanation: