The radiation experienced is inversely proportional to distance, Therefore the required equation will be l = k/r
Equation of variationsVariation is defined as the changing of variable parameters. In problems relating to two or more variables, it is seen that the value of variable changes with respect to the other.
Variation can be direct, inverse, partial and joint in nature
Given the following parameters
Let I stand for radiation experienced by the personr stands for distancek be the constant of variation.The radiation experienced is inversely proportional to distance, Therefore the required equation will be l = k/r
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PLEASE HELP ILL GIVE BRAINLIEST Sara is making a cake in a trapezoid
pan. The top base is 10 inches, the
bottom base is 20 inches and the
height is 5 inches. She wants to cover
the top of the cake with pink frosting.
Calculate how much frosting she will
need. Each frosting container covers a
cake with an area of 25 inches. How
many containers will she need?
A. 1 container
B. 3 Containers
O C. 2 containers
O
D. 4 containers
Answer:
D im not sure just my opinion
Mrs. Douglas packs candy bars into boxes for the members of the school band to sell as a fundraiser. Each candy bar weighs 5.75 ounces, and the empty box weighs 2.95 ounces. If the algebraic rule y = 5.75x + 2.95 represents the total weight of the packed box, what does the variable x represent?
a. Weight of each candy bar inside a box
b. Total weight of a box filled with candy bars
c. Total number of boxes filled with candy bars
d. Number of candy bars packed into a box
Answer:
d
Step-by-step explanation:
If A PQR = ASTU, which statement must be true?
T
р
S
R
O A. PQ = SU
B. ZP. ZR
C. PO = ST
D. ZPEZT
Answer:
O A. PQ = SU
Step-by-step explanation:
When two triangles are congruent then by CPCTC,
their corresponding parts ( angles and sides ) must be congruent.
In triangles PQR and STU,
Side PQ, QR and RP are corresponding to the sides ST, TU and US respectively,
Also, angles P, Q and R are corresponding to angles S, T and U respectively.
Here, Δ PQR ≅ Δ STU,
Thus, by the above property,
PQ ≅ ST, QR ≅ TU and RP ≅ US,
∠P ≅ ∠T, ∠Q ≅ ∠T and ∠R ≅ ∠U
P1-1A On April 1, Julie Spengel established Spengel's Travel Agency. The following trans-
actions were completed during the month.
1. Invested $15,000 cash to start the agency.
2. Paid $600 cash for April office rent.
3. Purchased equipment for $3,000 cash.
4. Incurred $700 of advertising costs in the Chicago Tribune, on account.
5. Paid $900 cash for office supplies.
6. Performed services worth $10,000: $3,000 cash is received from customers, and the
balance of $7,000 is billed to customers on account.
7. Withdrew $600 cash for personal use.
8. Paid Chicago Tribune $500 of the amount due in transaction (4).
9. Paid employees' salaries $2,500.
10. Received $4,000 in cash from customers who have previously been billed in transac-
tion (6).
Instructions
(a) Prepare a tabular analysis of the transactions using the following column headings:
Cash, Accounts Receivable, Supplies, Equipment, Accounts Payable, Owner's Capital,
Owner's Drawings, Revenues, and Expenses.
(b) From an analysis of the owner's equity columns, compute the net income or net loss
for April.
a) The preparation of a tabular analysis of the transactions for Spengel's Travel Agency using the following headings is as follows:
Assets
Cash Accounts Supplies Equipment Accounts Owner's Owner's
Receivable Payable Capital Drawings
1. $15,000 $15,000
2. (600) (600)
3. (3,000) $3,000
4. $700 (700)
5. (900) $900
6. 3,000 $7,000 10,000
7. (600) (600)
8. (500) (500)
9. (2,500) (2500)
10. 4,000 (4,000)
$13,900 $3,000 $900 $3,000 $200 $21,200 ($600)
Tabular Columns continued:
Revenues Expenses
2. 600
4. 700
6. 10,000
9. 2500
Total $10,000 $3,800
What is a tabular analysis?A tabular analysis of transactions is an accounting-based analysis using tables. A tabular analysis is a form of quantitative analysis.
b) Based on an analysis of the owner's equity columns, the net income is $6,200.
Net income = $6,200 ($10,000 - $3,800) or ($21,200 - $15,000)
Thus, the determination of the net income or net loss from the owner's equity columns is given as Ending equity + liabilities minus Beginning equity + liabilities (or revenue minus expenses).
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WILL GIVE 100 POINTS AND BRAINLIEST
I need this answer IMMEDIATELY!!!
The graph models how a farmer's profit from a strawberry crop depends on the number of days the farmer waits after the first strawberries ripen before harvesting the crop.
Select from the drop-down menu to interpret the increasing interval of the graph.
The profit increases from
Choose...
days after the first strawberries ripen.
Answer:
The profit increases from day 0 to day 8 after the strawberries first ripen.
Step-by-step explanation:
A function is increasing when the slope is positive (y gets bigger as x gets bigger).
A function is decreasing when the slope is negative (y gets smaller as x gets bigger).
From inspection of the graph, we can see that the maximum point is (8, 6000), so the maximum profit of $6,000 occurs on day 8.
The slope of the curve is increasing as the curve approaches the maximum point, so the profit is increasing during this time period.
Therefore, the profit increases from day 0 to day 8 after the strawberries first ripen.
The slope of the curve is decreasing after the maximum point, so the profit is decreasing after 8 days.
The profit increases from 8 days after the first strawberries ripen.
When we observe the graph we see that the function reaches its maximum at y-axis on the point (8,6000) 6000 is the maximum profit, which is made after 8 days the strawberries have ripen.After 8 days the prices have started to decrease.4. Find the equation of the line that has a slope of 3 and goes through the point (3,4).
equation= y-y¹=m(x-x¹)
= y-4= 3(x-3)
y-4= 3x-9
y= 3x-9+4
y=3x-5
Noah bought a new car. It gets 21.7miles per gallon of gas on the highway. His gas tank is able to hold 14 gallons of gas. How many miles can Noah travel on the highway on one tank of gas?
Answer:
303.8
Step-by-step explanation:
All you do for this is 21.7 * 14
who can answer this have 20 points
First note that [tex]A_n[/tex] means the nth term in the sequence.
1. First one is a simple arithmetic progression/sequence as the common differences between each two numbers are 1
So the sequence will be
1.) 2,3,4,5,6,7...
And the rule since its +1 each time will be
[tex]A_n=2+1*(n-1)[/tex]
For the nth term of the sequence.
2.This one can be seen as a simple geometric sequence as the common ratio between the number and the number after it is 1:2
So the sequence will be
2.)2,4,8,16,32,64
And the rule since it is *2 each time is a simple exponential function
[tex]A_n=2*2^{n-1}\\or\\A_n=2^n[/tex]
3.This one is tricky but it can be seen that the term is double the term before subtract 1
So the sequence will be
3.)5,9,17,33,65,129
And the rule based on this sequence will be
[tex]A_n=A_{n-1}*2-1[/tex]
**Please note that this rule specifically is written in recursive form as it is a lot more difficult otherwise.
4 This one is similar to problem 1 which is an arithmetic sequence this one just have a common differences of 3 instead of 1.
So the sequence will be
4.)25,28,31,34,37
And the rule based on the sequence will be
[tex]A_n=25+3*(n-1)[/tex]
I hope this helps and if you don't understand any part of my explanation I would gladly help!
Help please I’ve been trying to figure this out
How do I work this out? Someone explain fully please
Answer:
[tex] \frac{x + 2}{3x - 1} [/tex]
Step-by-step explanation:
x²-9 when factorized, would be
(x-3)(x+3)
Using a scientific calculator or manually, you can factorise the denominator of the same fraction which would be,
(3x-1)(x+3)
when it's fraction division, you must turn the sign into multiplication and use the reciprocal of the fraction.
[tex] \frac{(x - 3)(x + 3)}{(3x - 1)(x + 3)} \times \frac{x + 2}{x - 3} [/tex]
Now, you can cancel the similar terms which are,
(x-3) and (x+3)
then, you are left with your final answer as,
[tex] \frac{x + 2}{3x - 1} [/tex]
Which is another way to write 7 multiply 7 multiply 7 multiply 7?
Answer:
7^4
Step-by-step explanation:
7 power 4 equals to 7×7×7×7
I need this answers ASAP please. The mass of potatoes Lucan used is 5:2 the mass of carrots. The mass of potatoes is 9 kg more than the mass of carrots. Find the total mass of both ingredients. Please provide an explanation.
Answer:
Step-by-step explanation:
Known facts:
the ratio of mass potatoes to the mass of carrots is 5:2the mass of potato is 9kg more than the mass of carrotLet us set up the equation:
variables: mass of potatoes: p, the mass of carrots: cp/c = 5/2 --> 2p = 5c --> 2p -5c = 0 -- equation 1
p = 9 + c --> p - c = 9 -- equation 2
Multiple equation 2 by 2
2p - 2c = 18 -- equation 3
subtract equation 1 and equation 3
-3c = -18
c = 6, so p = 15
So the total mass of both ingredients is 21 kg
Figure out the next question
Answer:
2a + 5
Step-by-step explanation:
Use Distributive property: a(b +c) = a*b +a*c
[tex]\dfrac{1}{3}(9a + 8) - (a -\dfrac{7}{3})=\dfrac{1}{3}*9a + \dfrac{1}{3}*8 -a + \dfrac{7}{3}\\\\\\=3a - a +\dfrac{8}{3}+\dfrac{7}{3}\\\\\\= 2a + \dfrac{15}{3}\\\\\\= 2a + 5[/tex]
The scatterplot shows the relationship between the test scores of a group of students and the number of hours I spent on social media and a week:
Part A:
(1) What is the group of points labeled A called?
(2) What is the point labeled B called?
(3) Give a possible reason for the presence of point B
Answer:
1 plus one is 2 plus 9 that's 11 so it will be letter a
A triangle has angle measurements of 13°, 104°, and 63°. What kind of triangle is it?
Answer:
The triangle is a scalene obtuse triangle
Step-by-step explanation:
We have angles of 13, 104, and 63
Since all of the angles are different, all of the sides have different lengths, so the triangle is scalene
The largest angle is 104 degrees. Since it is larger than 90 degrees, it is obtuse.
The triangle is a scalene obtuse triangle
Answer:
obtuse maybe
Step-by-step explanation:
I don't really know but let me know if you get it right.
Why I picked obtuse is because of 104 degrees normally obtuse angles have smaller degrees than there is 1 that is bigger number for instantance 104 or over 100 degrees.
Have a nice day! :)
Brainliest if correct
Answer:
2x -12
Step-by-step explanation:
Multiply -3 times x and -3 times 4 to get -3x and -12. Then combine 5x -3x to get 2x - 12
Answer/Step-by-step explanation:
Distribute
-3(x+4)+5x
-3x-12+5x
Combine like terms
2x-12
[RevyBreeze]
subtract: write each in simplest form. 1/2-1/4=
how do I do this problem in the simplest form.
1/2 - 1/4 =
1/2-1/4
Find its LCM which would be 4
So change the 1/2 to 2/4 and keep 1/4 the same since we already have the denominator we need so
2/4-1/4 = 1/4
A recipe requires 9 cups of milk you can only measure using 3/4 cups. How many 3/4 cups are needed for the recipe
Answer:
12
Step-by-step explanation:
In order to find the amount of cups we will divide 9 by 3/4.
9÷3/4
9*4/3
36/3
=12
Please mark as brainliest
Find the length of the side marked with the variable X
Answer:
7.8287
Step-by-step explanation:
Sin(34)=x/14
14 x Sin(34)
Answer:
Step-by-step explanation:
Opposite side of the angle 34 is x & hypotenuse which is opposite to 90 is 14
[tex]Sin \ 34 = \dfrac{Opposite \ side}{hypotenuse}\\\\0.56 = \dfrac{x}{14}\\\\\\0.56*14=x[/tex]
x = 7.84
Find the value of x. if 2xsquare+4=54 is given.
26m
18m
4m
39m
Need to find the area of this shape anyone?
Answer:
611m²
Step-by-step explanation:
Too difficult to explain by words, it's in the picture.
Hope this helps!
Select the correct answer.
Simplify the following expression.
x^-2/3 x x^6/7
A.
B.
C.
D.
Answer:
here
Step-by-step explanation:
Answer:
Yes you are correct. It is x^4/21 or C.
Step-by-step explanation:
x^-2/3 • x^6/7
x^ -2/3 + 6/7
x^ 7(-2) + 3•6 / 3•7
x^ -7 •2 + 18 / 3•7
x^ -14 + 18 / 3•7
x^ 4 / 3•7
x^ 4/21
whats 348.69 simplified
Evaluate f(3) whenf(x)=(x^2+4x-7
Answer:
14
Step-by-step explanation:
(3)^2 + 4(3) - 7
9 + 12 - 7
21 - 7
14
The radius of a circle is 1 foot. What is the circle's area?
r=1 ft
Use 3.14 for .
Answer:
A=πr2=π·12≈3.14159ft²
A≈3.14ft²
Step-by-step explanation:
A dilation with a scale factor of 3. 5 and centered at the origin is applied to PQ¯¯¯¯¯ with endpoints P(2, 5) and Q(2, 1)
Answer: The answer is P'(7, 17.5) and Q'(7, 3.5).
Step-by-step explanation: Given that a line segment PQ is dilated with a scale factor of 3.5 where origin is the centre of dilation.
The end points of segment PQ are P(2, 5) and Q(2, 1).
Therefore, after dilation, the coordinates of the end points become
Thus, the coordinates of P' are (7, 17.5) and the co-ordinates of Q' are (7, 3.5).
Two water balloons were launched into the air at different moments and collided. The water balloons were modeled by the quadratic functions: y = −3x2 + 24x + 3 and y = −4x2 + 25x + 15, where y represents the height in meters and x represents the time in seconds after the launch. What is the time, in seconds, that the balloons collided at the highest point?
Answer:
4s
Step-by-step explanation:
Equate the equations and solve for x:
[tex]-3x^2 + 24x + 3=-4x^2 + 25x + 15[/tex]
[tex]\implies x^2 -x -12=0[/tex]
[tex]\implies x^2 -4x+3x -12=0[/tex]
[tex]\implies x(x-4)+3(x-4)=0[/tex]
[tex]\implies (x+3)(x-4)=0[/tex]
[tex]\implies x=-3, x=4[/tex]
As time is positive, x = 4
The time at which the water balloons collided at their highest point is 7 seconds after the launch.
To find the time at which the two water balloons collided at their highest point, we need to determine the time at which the sum of their heights is maximized. The sum of the heights is represented by the sum of the two quadratic functions.
Given the functions:
y = -3x² + 24x + 3
y = -4x² + 25x + 15
The sum of the heights, S(x), is:
S(x) = (-3x² + 24x + 3) + (-4x² + 25x + 15)
Combine like terms:
S(x) = -7x² + 49x + 18
To find the time when the sum of the heights is maximized, we need to find the x-coordinate of the vertex of the parabolic function S(x). The x-coordinate of the vertex of a quadratic function in the form ax² + bx + c is given by:
x vertex = -b / (2a)
In this case, for S(x) = -7x² + 49x + 18:
a = -7
b = 49
Calculate the x-coordinate of the vertex:
x vertex = -49 / (2 * -7)
x vertex = 7
Now that we have the x-coordinate of the vertex, we can find the corresponding time by plugging it into either of the original functions. Let's use the first function for simplicity:
y = -3x² + 24x + 3
When x = 7:
y = -3(7)² + 24(7) + 3
y = -147 + 168 + 3
y = 24
Therefore, the time at which the water balloons collided at their highest point is 7 seconds after the launch.
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What the answer for this???
Use the provided hundredths model (and two colors) to demonstrate how to model your answer on #1.
Be sure to explain which cool represents each factor! Be sure to write the product!
Thanks for helping me, appreciate it alot!
Answer:
Send the question please. You can send in the comments or in a separate question.
What is 50% of $68? Show all of your work. Use the percent proportion model shown below to set up the equation before you calculate the answer.
Answer:
$34
Step-by-step explanation:
50% is half of 100%
(Because 50% x 2 = 100%)
Thus, half the money ($68) to find 50%.
So, 68÷2 = 34
Final answer is $34
Or
50/100 x $68 =$34
Hope this helps!
a. Use what you've learned in this unit to model the population of Western
Lowland Gorillas after 5, 10 and 20 years. Let y equal the population of the
gorillas and x represent the number of years since 2022. Show your work.
b. Use the information calculated in step A to create a table showing the Gorilla
population after 5, 10 and 20 years.
c. Explain why the table shows exponential decay. Summarize how scientists
can use exponential decay to predict population changes in endangered
species. Summarize your answer in 1-2 paragraphs.
An exponential function can either represent population growth or population decay
How to model the populationThe question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.
However, the following is a general guide to solve the question.
An exponential function is represented as:
[tex]y=a(1 \pm r)^x[/tex]
Where:
(a) represent the initial value i.e. the initial population of the Western Lowland Gorillas (r) represents the rate at which the population increases or decreases.(x) represents the number of years since 2022(y) represents the population in x yearsGiven that the population of the Western Lowland Gorillas decreases, then the rate of the function would be 1 -r (i.e. an exponential decay)
Take for instance:
[tex]y = 20000 * 0.98^x[/tex]
By comparison.
a = 2000 and 1 - r = 0.98
The above function can be used to model the population of the Western Lowland Gorillas
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