The amount of rainfall is an illustration of inverse functions, and rates.
The function is given as: R = f(t)
(a) Interpret f(6) = 4.8
This means that:
The amount of rainfall at 6 seconds is 4.8 cm
(b) Interpret f'(6) = 0.5
f'(6) represents the rate of the function
So, this means that:
The rate at which rain falls at 6 seconds is 0.5 cm per second
(c) Interpret f^-1(5) = 14
f^-1(6) represents the inverse function
So, this means that:
The time at which 5 cm of rain falls, is 14 seconds
(d) Interpret f^-1'(5) = 1.5
f^-1'(5) represents the rate of the inverse function
So, this means that:
The rate of time when 5 cm of rain falls is 1.5 seconds per cm
Read more about functions, inverse and rates at:
https://brainly.com/question/15634149
Given:In quadrilateral WXYZ , and bisect each other at point A.
Prove: Quadrilateral WXYZ is a parallelogram.
Statement
Reason
1. and bisect each other. given
2. WA = YA
XA = ZA
definition of bisection
3. m∠YAZ = m∠XAW
Vertical Angles Theorem
4.
SAS criterion for congruence
5. ∠ YWX ≅ ∠WYZ
Corresponding angles of congruent triangles are congruent.
6. ||
converse of Alternate Interior Angles Theorem
7. m∠XAY = m∠ZAW
Vertical Angles Theorem
8. ∆XAY ≅ ∆ZAW
SAS criterion for congruence
9. ∠XZW ≅ ∠ZXY
Corresponding angles of congruent triangles are congruent.
10. ||
converse of Alternate Interior Angles Theorem
11. Quadrilateral WXYZ is a
parallelogram.
definition of parallelogram
Answer:
Given:In quadrilateral WXYZ , and bisect each other at point A.
Prove: Quadrilateral WXYZ is a parallelogram.
Statement
Reason
1. and bisect each other. given
2. WA = YA
XA = ZA
definition of bisection
3. m∠YAZ = m∠XAW
Vertical Angles Theorem
4.
SAS criterion for congruence
5. ∠ YWX ≅ ∠WYZ
Corresponding angles of congruent triangles are congruent.
6. ||
converse of Alternate Interior Angles Theorem
7. m∠XAY = m∠ZAW
Vertical Angles Theorem
8. ∆XAY ≅ ∆ZAW
SAS criterion for congruence
9. ∠XZW ≅ ∠ZXY
Corresponding angles of congruent triangles are congruent.
10. ||
converse of Alternate Interior Angles Theorem
11. Quadrilateral WXYZ is a
parallelogram.
definition of parallelogramTriangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.
How could you correctly write the equation4(10+5)=6(12-2)
simplify the expression 5 (6 + 7 and) using the distributive property
Answer:
65
Step-by-step explanation:
5(6 + 7)
Distribute 5 to 6 and 7.
(5x6)+(5x7)
Multiply.
30+35
Add.
65
Hope this helps :)
Covert fractions into percents
1/8= __
Answer:
12.5%
Step-by-step explanation:
A 9 in the thousandths place has 10 times the value of a 9 in the ? Place.
Answer:
hundredths place
Answer:
ten thousandths place
Step-by-step explanation:
9 in the thousandths place is basically 0.009, and a 9 in the ten thousandths place is basically 0.0009, which multiplied by ten is 0.009
What is the inverse of the function g(x)=
-3(x + 6)?
g-1(x) =
HI.PLS HELP HAVE AN EXAM TOMORROW.
Answer:
A
Step-by-step explanation:
In the question their are black, white, Vertical and horizontal line in option A it is same like the question and A option is same
i'll mark brainliest, thanks in advance!
Answer:
not enough information.
Step-by-step explanation:
We know one side and the vertical angle. We do not have enough information to determine if the triangles are congruent.
One card is selected at random from a deck of card. Determine the probability that card selected is not a 7( simplify your answer)
Answer:
P(~7) = 12/13
Step-by-step explanation:
There are 4 sevens in a normal deck of cards.
Therefore there are 48 cards out of 52 that are not 7.
P(~7) = 48/52 simplified, it is 12/13
PLEASE HELP WILL MARK BRAINEST
If I || m, find the values of x and y.
Answer:
x = 8, y = 89/9
Step-by-step explanation:
Because of parallel lines, some angles are the same, see the attached image. That also means that (12x-28) + (9y-77) = 180 because they are half of an angle. So:
(12x-28) + (9y-77) = 180 ->
12x + 9y = 185.
Then,
(7x+12) = (12x-28) ->
x = 8.
We can plug that into the last equation:
12(8) + 9y = 185 ->
y = 89/9
:)
HELP FAST PLS I’ll mark u brainliest
Answer:
about 20 cents
Step-by-step explanation:
#Shop A
Pack of 10pens=£2.30Pack of 70pens:-
[tex]\\ \sf\longmapsto 7(2.30)=16.10[/tex]
#2
Pack of 5=1.60£Pack of 70
[tex]\\ \sf\longmapsto 14(1.60)=20.80[/tex]
But you get half price
20.80/2=10.40Difference:-
[tex]\\ \sf\longmapsto 16.10-10.40=5.70\£[/tex]
Which irrational number is represented by point D? A) V175 B) V250 ) 1392 D) 440
Answer:
c that is the answer yes .
Answer:
Step-by-step explanation:
c i took the k121 online quiz in progress learning
In a game, you toss a fair coin and a fair six-sided die. If you toss a heads on the coin and roll either a 3 or a 6 on the die, you win $30. Otherwise, you lose $6. What is the expected profit of one round of this game?
Using probabilities, it is found that the expected profit of one round of this game is of $0.
A probability is the number of desired outcomes divided by the number of total outcomes.
One of the two sides of the coin are heads.2 of the 6 sides of the dice are 3 or 6.Hence, since the coin and the dice are independent, the probability of winning is:
[tex]p = \frac{1}{2} \times \frac{2}{6} = \frac{1}{6}[/tex]
The expected value is the sum of each outcome multiplied by its respective probability.
In this problem:
[tex]\frac{1}{6}[/tex] probability of earning $30.[tex]\frac{5}{6}[/tex] probability of losing $6.Then:
[tex]E(X) = 30\frac{1}{6} - 6\frac{5}{6} = 5 - 5 = 0[/tex]
The expected profit of one round of this game is of $0.
A similar problem is given at https://brainly.com/question/24855677
If a line falls on the points (7, 10) and (4,8), what is its slope? Enter your
answer as a fraction in lowest terms. Use a slash mark (/) as the fraction
bar
Anwaren
I
SUBMIT
- PREVIOUS
Answer:
The slope is 2/3
Step-by-step explanation:
hope this answer helps!!!
What is the value of k? M 1150 Y Z (4k + 5) (6k + 10) X
I need help ASAP
Check the picture below.
At registration for the first semester, the 1,500 students at Abraham Lincoln High School selected the primary mode of
transportation each planned to use to get to school during the semester. The circle graph below shows the distribution of
students who selected the various modes of transportation
Modes of Transportation Selected by
Abraham Lincoln High School Students
driving
for or riding
in a student-
driven car pool
25%
driving alone
30%
riding
with parent
10%
walking
10%
riding in a
school bus
Gina wants to duplicate this circle graph. Which of the following is closest to the measure of the central angle of the
"walking" sector?
Using proportions, it is found that the central angle of the walking sector is of 36º.
This question can be solved by proportions, using a rule of three.The angle corresponding to 100% = 1 is of 360º, while we want to find the angle corresponding to the walking sector, which is of 10% of the circle.Hence, the rule of three is:
1 - 360º
0.1 - x
Applying cross multiplication:
[tex]x = 360(0.1) = 36[/tex]
The central angle of the walking sector is of 36º.
A similar problem is given at https://brainly.com/question/24372153
Terry and Jim have two car loans totaling $ 26,004.
One loan has an annual percentage rate (APR) of 3.1 % and the other has an APR of 7%.
If the total interest they paid after one year is $1,481.25, what is the amount owed on each car?
(1 = PRT. Note t = 1 year).
Answer needed right away!! With explanation
The annual percentage rate is the interest rate for payment for the car
loan.
The mount owed on the car with an APR of 3.1% is approximately $8,693.08.The mount owed on the car with an APR of 7% is approximately $17,310.92.The given parameters are;
The amount of loan Terry and Jim have = $26,004
The annual percentage rate (APR) on one loan = 3.1 %
The annual percentage rate (APR) on the other loan = 7 %
Total interest paid after one year = $1,481.25
Required:
The amount owed on each car
Solution:
Let X represent the loan, with 3.1% APR, we have;
The other loan with 7% APR = 26,004 - X
Therefore;
0.031·X + 0.07·(26,004 - X) = 1,481.25
0.031·X + 1,820.28 - 0.07·X = 1,481.25
1,820.28 - 1,481.25 = 0.07·X - 0.031·X = 0.039·X
339.03 = 0.039·X
[tex]X = \dfrac{339.03}{0.039} \approx 8693.08[/tex]Therefore;
The amount owed on the car with an APR of 3.1%, X ≈ $8,693.08Therefore;
The amount owed on the car with an APR of 7% ≈ 26,004 - 8693.08 =
17310.92.
The amount owed on the car with an APR of 7% ≈ $17,310.92Learn more here:
https://brainly.com/question/15400760
It took the Selby family hours round -trip to drive from their house to their beach house 154 miles away . Find their average speed . 5 1/2
Step-by-step explanation:
Distance = 154 miles .
Time = 5 ½ hrs .
We know ,
Speed = s / t
v = 154 mi/ 5.5 hrs = 28 mi / hr
Which expression represents the number of thirds in 1
Answer:
A third is written as ¹/₃
Step-by-step explanation:
The way to understand this is the number on the bottom is the number of pieces being divided into;
So ¹/₃ is 1 whole divided into 3 parts;
So, you need 3 ¹/₃ parts to make a whole
[tex]a \ * \ \frac{b}{c} = \frac{ab}{c} \\\\ 3 \ * \ \frac{1}{3} = \frac{3 \ * \ 1}{3} \\\\ = \frac{3}{3} \\\\ = 1[/tex]
What number is 133% of 200
Rewrite 133% as a decimal by dividing by 100:
133% = 1.33
Now multiply:
200 x 1.33 = 266
Answer: 266
133% of 200 = 266
Explanation:133 of 200 can be written as:
133/200
To find a percentage, we need to find an equivalent fraction with the denominator 100. Multiply both numerator & denominator by 100
Multiply both numerator & denominator by 100 Therefore, the answer is 66.5%If you are using a calculator, simply enter 133÷200×100 which will give you 66.5 as the answer and as we know 66.5 is also known as 226.
source:
https://answers.everydaycalculation.com/percent-is/133-200
gemomtry plz help 15 points
Answer:
DE = 5x-12 (base angles of isos triangle)
For every 3 minutes that Ginny plays on the computer, she plays outside for 10 minutes. What is the ratio of minutes Ginny plays on the computer to minutes she plays outside?
Three to Ten 3:10
...................................................
Marking as brainliest! Find the missing side
Answer:
The trick for these is finding out what makes the largest known value into the corresponding lower value. Then we use that number to find the missing side length based on the value we know.
1. The missing side length is 40.
We can find this by dividing 70 by 56 to get 1.25. We then multiply this by 32 to get our missing side length.
2. The missing side length is 91.
We can find this by dividing 130 by 30 to get 4.333(repeating decimal). We then multiply this by our known value (21) to get our answer of 91.
3. The missing side length is 21.
We can fid this by dividing 36 by 12 to get 3. Then we multiply this by 7 (our known value) to get our answer.
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
Two sides of a triangle measure 10 feet and 14 feet. Which
inequality shows the possible lengths for the third side, x?
Answers options:
10 ≤ x ≤ 14
4 ≤ x ≤ 24
10 < x < 14
4 < x < 24
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The third side of the Triangle should be greater than the difference of other two sides, so
[tex]x > 14 - 10[/tex][tex]x > 4[/tex]And, The third side should be less than the sum of other two sides that is ~
[tex]x < 14 + 10[/tex][tex]x < 24[/tex]Considering these two inequalities, we get ~
[tex]4 < x < 24[/tex]Could I get help on this?
Answer:
returning the collateral
PLEASE HELP WITH THIS ONE QUESTION
Answer:
X = 0 or X = -2
Step-by-step explanation:
2x^4 + 16x = 0
x^4 + 8x = 0
x(x+2) (4+x^2_2x) = 0
x + 2 = 0
or
4+x^2_2x=0
If an item that originally cost $20 is increased to $27, what is the percentage of increase in the item?
Write a function in any form that would match the graph shown below
Answers:
Vertex form: y = -2(x-1)^2 + 8Standard form: y = -2x^2 + 4x + 6Pick whichever form you prefer.
=============================================================
Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
What the answer is please
Answer:its the first one
Step-by-step explanation:
becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.
-8-8-6-2 4 12 22
What is the nth term rule of the quadratic sequence
Answer:
[tex]n^2 -3n - 6[/tex]
Step-by-step explanation:
Looking at the image attached, you must first work out the difference between each term. This is +0, +2, +4, +6, +8, +10 (shown in orange).
Because you now have a linear sequence, the difference is now the same each time. This is +2 (shown in blue).
Because the original sequence is a quadratic, you have to halve the second difference (the +2). This means that the value of [tex]n^2[/tex] is 1, so 1[tex]n^2[/tex] or just [tex]n^2[/tex] .
If you write out the values of [tex]n^2[/tex], you can work out how much more you need to add or take away. For example, take the first three terms in the sequence.
n = 1, 2, 3
x = -8, -8, -6
[tex]n^2[/tex] = 1, 4, 9
Work out the difference between [tex]n^2[/tex] and x:
1 - -8 = 9
4 - -8 = 12
9 - -6 = 15
This gives you yet another linear sequence, 9, 12, 15.
Working out the formula for this, the difference is 3 each time, so it is 3n. The first value of n is 1, so 3n is 1. The difference is 6, so the formula for this linear sequence is 3n + 6.
Because [tex]n^2[/tex] is greater than x, you need to take 3n + 6 away from [tex]n^2[/tex].
This gives [tex]n^2[/tex] - (3n+6), so the final answer is:
[tex]n^2[/tex] - 3n - 6.
