The given figure is a square. The formula for determining the area of a square is expressed as
Area = L^2
where L is the side length
From the information given,
L = 4/9
Thus,
Area = (4/9)^2
Area = 16/81 cm^2
Need the answer for first picture!
The measure of <MNL is (71 - 3x²)/2.
We have,
Far Arc = 59 - 2x²
Near Arc = 12 - x²
Angle = 180- 2x²
Using the Formula
Angle= Average of vertical chords
180 - 2x² = (59 - 2x² + 12 - x²)/2
360 - 4x² = 71 - 3x²
289 = x²
x= 17
So, the measure of <MNL
= (71 - 3x²)/2
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During a chemical reaction, substance A is converted to substance B at a rate that is
proportional to the square of the amount of A. Let A(t) be the amount of unconverted
substance A at any time t. Initially, there are 50 grams of substance A, after 2 hours there
are only 10 grams remaining. How much of substance A is present after 4 hours?
The amount of substance A present after 4 hours is 5.56 grams
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
Let y= the amount of unconverted substance A at any time t
differential equation is
dy/dt = ky²
dy/y² = k dt
On integrating both sides , we get
-1/y = kt+c
=> y= - 1/( kt+c )
This is the general solution
Given, at t=0, y=50
so, 50= -1/(k*0+c)
=> c= -1/50
when t= 2, y= 10
So, 10 = -1/( 2k- 1/50)
On solving, k = -1/25
The particular solution is
y= -1/ ( (-1/25) t -1/50) = 50/(2t+1)
when t= 4,
y= 50/ (2*4+1) = 5.56
The amount of substance A present after 4 hours is 5.56 grams
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What is the product of 12 and 5 decreased by 17
Answer:
43
Step-by-step explanation:
Answer: 43
Step-by-step explanation:
12x5-17 would be the equation
60-17 multiplication due to PEMDAS
43 subtraction
Please help urgent thank you
If he wants an average of 84, he needs to get at least 93 points.
What score does he need to get in the next test?Remember that the average value between 3 values A, B, and C is:
(A + B + C)/3
Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:
(76 + 83 + x)/3 = 84
159 + x = 252
x = 252 - 159
x = 93
So he needs to get at least 93 points in the next exam.
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How do I solve for X?
Answer
50
Step-by-step explanation:
60 is supplementary to 120 so 60+70=130
and a triangle adds up to 180 so 180-130 would be 50
8. The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)
Answer:
116
Step-by-step explanation:
8
=36
To find the quotient of 4.082 and 10,000, move the decimal point in 4.082
Choose...
places to the
Choose...
.
Answer: 2 places to the right
Step-by-step explanation:
If i'm wrong sorry hope it helps
Solve: log 3 (3x) + log 3 (3) = 5
Answer: x=27
Step-by-step explanation:
Assumption the 3's are the bases
\(log_{3} 3x +log_{3} 3=5\) >combine using multiplication log rule (logs with
same base, that are being added can be
combined with multiplication)
\(log_{3}( 3x)(3) =5\\\) >simplify
\(log_{3}( 9x) =5\\\) >rewrite into exponent form
\(3^{5} = 9x\) >simplify
243 = 9x
x=27
Answer:
x = 27
Step-by-step explanation:
using the rules of logarithms
• \(log_{b}\) b = 1
• \(log_{b}\) x = n ⇒ x = \(b^{n}\)
then
\(log_{3}\) (3x) + \(log_{3}\) 3 = 5
\(log_{3}\) (3x) + 1 = 5 ( subtract 1 from both sides )
\(log_{3}\) (3x) = 4
3x = \(3^{4}\) = 81 ( divide both sides by 3 )
x = 27
One adult and 3 student tickets cost $11.50. Three adult and 2 student tickets cost $17.00.
a. Write a system of equations to represent this scenario.
b. Solve. Must show work. (Make sure to type the $ before the value.)
Adult tickets:
Student tickets:
a. System of equations:
b. Adult tickets:
Student tickets:
Answer:
Adult-. $4
Student-. $2.50
Step-by-step explanation:
equation
1a + 3s = $11.50
3a + 2s = $17.00
$4+$2.50(3)=$11.50
$12+$2.50(2)=$17.00
or
1($4)+3($2.50)=$11.50
3($4)+2($2.50)=$17.00
sorry if this is a little confusing, this is a simpler equation-
$4.00+($2.50x3)=$11.50
($4.00x3)+($2.50x2)=$17.00
y< 4 3 x+3 y≤−2x−1 Which graph represents the system of inequalities?
Answer:
Don't see any graphs
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
I REALLY NEED HELP IF NOT I'M GOING TO FAIL
Answer:
1. x > 9
2. n < 5
3. b > 2
4. p < 4
5. p < -2
6. m > 0
Step-by-step explanation:
1.
x - 2 - 2 > 5
x - 4 > 5
x > 5 + 4
x > 9
2.
5 + n < 2 x 5
n < 10 - 5
n < 5
3.
50b > 100
b > 100 : 50
b > 2
4.
-5 + p + 2 < 1
p < 1 + 3
p < 4
5.
p + 6 + 8 < 12
p + 14 < 12
p < 12 - 14
p < -2
6.
80m - 64 - 2 > -66
80m > -66 + 66
m > 0:80
m > 0
Express your answer in scientific notation. 0.00045 – 2.5-10-5
Answer:
17.49955
Step-by-step explanation:
Hope this helps
15 to 18 =
What are 3 equivalent ratios to 15:18
Answer:
30 : 36
45 : 54
60 : 72
As shown in the image below, triangle ABC is reflected onto its image.
Which of the following lines represents the line of reflection that maps triangle ABC onto its image?
Oy=0
O y=-2
Ox=0
X = -2
Here is an expression. 16 × 1-3/4
Which situation can be modeled using this expression?
A. A stretch of highway is 16 miles long and has speed limit signs every 1-3/4 miles. B Sunny drinks chocolate milk out of glasses that each hold 1-3/4 ounces. 4 If Sunny has 16 ounces of chocolate milk in her refrigerator, how many glasses can she pour?
C Mrs. Jeanie purchased 1-3/4 pounds of candy for her class’s party. She handed out the same amount of candy to each of her 16 students. How many ounces of candy did each student receive?
D A farmer harvested fruit from all trees in an orchard for 16 days. If fruit from 1-3/4 trees per day can be harvested, how many fruit trees are in the orchard?
The scenario that models the expression will be D. A farmer harvested fruit from all trees in an orchard for 16 days. If fruit from 1-3/4 trees per day can be harvested, how many fruit trees are in the orchard?
Which situation can be modeled using this expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, or variables.
In this situation, the expression is given as expression. 16 × 1 3/4. The scenario that models this will be the scenario explained in D.
In conclusion, the correct option is D.
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Pls no links, I really need help
Answer:
The answer should be b. (0,2) because that the order pair for y
Answer:
(2,3) makes the equation false.
Step-by-step explanation:
a. -1 = 1/2(0)-1
-1 = -1
b. 0 = 1/2(2) - 1
0 = 1 - 1
0 = 0
c. 2 = 1/2 (3)-1
2 = 3/2 - 1
2 = .5
d. 1=1/2(4)-1
1=2-1
1=1
Please help with both and leave a small explanation! I wanna double check my answers!
Answer:
3. 4 cm apart
4. 12 feet
Step-by-step explanation:
3. since the scale is every 1cm is 14 miles than to find 56 miles on a map you should divide 56/14 which would equal 4cm.
4. since the scale is every 1 inch is 6 feet and you have to find how long a motorcycle is if it was 2 in on a diagram, then you should multiple 6 by 2 which would equal 12 feet
hope this helps
Describe a function that takes an input, adds 2, and then multiplies by 4
Answer:
Step-by-step explanation:
Describe a functiDescribe a function that takes an input, adds 2, and then multiplies by 4on that takes aDescribe a function that takes an input, adds 2, and then multiplies by 4n inpDescribe a function that takes an input, adds 2, and then multiplies by 4ut, adds 2, and then multiplies by 4
how could you use the symmetry of the graph to find the zeros of the function?
Our vertex has an x-coordinate of 0, so the axis of symmetry for our function is x = 0. Now, let's consider the zeros of our function. Graphically, the zeros of a function are the x-coordinates of the points where the function crosses the x-axis. This occurs where y = 0.
Which of the following equations describes the line shown below? Check all
that apply
Answer:
y-7=1/2(x-8)
y-4=1/2(x-2)
Step-by-step explanation:
Slope: 3/6, or 1/2
y-7=1/2(x-8)
y-4=1/2(x-2)
2. MOUNTAIN BIKING On a mountain bike trip along the Gemini Bridges Trail in Moab, Utah,
Nabuko stopped on the canyon floor to get a good view of the twin sandstone bridges, Nabuko
is standing about 60 meters from the base of the canyon cliff, and the natural arch bridges are
about 100 meters up the canyon wall. If her line of sight is 5 meters above the ground, what is
the angle of elevation to the top of the bridges? Round to the nearest tenth degree.
Using the slope concept, it is found that the angle of elevation to the top of the bridges is of 57.7º.
What is a slope?The slope is given by the vertical change divided by the horizontal change.
It's also the tangent of the angle of depression.
In this problem:
The horizontal change is of 60 m. The vertical change is of 100 - 5 = 95 m.Hence:
\(\tan{\alpha} = \frac{95}{60}\)
\(\alpha = \arctan{\left(\frac{95}{60}\right)}\)
\(\alpha = 57.7\)
The angle of elevation to the top of the bridges is of 57.7º.
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You want to survey people about their favorite types of art. Which is the better place to get a random sample?
A) outside an art museum
B) in the modern art section of an art museum
Answer:
B) in the modern art section of an art museum
Step-by-step explanation:
Hope it helps! =D
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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Valerie had $1.87 in her bank at home. She adds $2.67 in change how much does she have now?
Answer: $4.54
1.87+2.67=4.54
I hope this is good enough:
Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?
Answer:
182.91
Step-by-step explanation:
First multiply the cost of the meal by the sales tax percentage as a decimal (.14)
\(136.50*.14=19.11\)
Then multiply the cost of the meal before sales tax by the tip percentage
\(136.50*.2=27.30\)
Then add the tip and the sales tax on top of the cost of the meal to calculate the total cost
\(136.5+19.11+27.3=182.91\)
NEED HELP ASAP PLEASE! BRAINLIEST TO RIGHT ANSWER! Are the polygons similar? If they are, write a similarity statement and give the scale factor.
Answer:
B) Yes; POSN~KDAG; scale factor 5:4
Step-by-step explanation:
B) Yes; POSN~KDAG; scale factor 5:4
Same angles (If 3 are the same, the 4th is the same).
Comparing the 4 respective sides:
15/12=5/4
10/8=5/4
7.5/6=5/4
15/12=5/4
Steve rounds his favorite number to the nearest hundred to get 400.
Answer: Can you be more specififc?
Step-by-step explanation:
Answer:
B 460
Step-by-step explanation:
it could not be his favorite because 460 rounds up to 500
out of 80,000 seats in a cricket stadium 12% seats were there occupied by vips and 39040 seats by general public what percentage of the stadium remained un occupied?
Answer:
% of unoccupied seats = 63.2 %
Step-by-step explanation:
Total seats = 80, 000
VIP seats = 12 % of 80, 000
\(= \frac{12}{100} \times 80000\\\\= 9600\)
General Seats = 39040
Remaining seats = 80000 - 9600 - 39040 = 50, 560
Percentage of un-occupied seats,
\(= \frac{50560}{80000} \times 100 = 63.2 \%\)
Answer:
THE NUMBER OF SEATS OCCUPIED BY VIPS=80000×12/100
=9600
occupied seats=9600+39040
=48640
number of unoccupied seats=80000-48640
=31360
percentage of unoccupied seats=31360/80000×100%
=39.2%
What is the distance from C to B
please help me
Carns Company is considering eliminating its Small Tools Division, which reported a loss for the prior year of $205,000 as shown below. Segment Income (Loss) Sales $ 1,430,000 Variable costs 1,295,000 Contribution margin 135,000 Fixed costs 340,000 Income (loss) $ (205,000) If the Small Tools Division is dropped, all of its variable costs are avoidable, and $119,000 of its fixed costs are avoidable. The impact on Carns’s income from eliminating the Small Tools Division would be: Multiple Choice
The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.
To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.
The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.
To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:
Impact on income = Loss - Avoidable costs
Impact on income = $205,000 - ($1,295,000 + $119,000)
Impact on income = $205,000 - $1,414,000
Impact on income = -$1,209,000
The negative sign indicates a decrease in income.
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