The calculated areas of the basic shapes are computed below
Calculating the areas of basic shapesTo do this, we make use of area formula of the respective shapes
So, we have
Shape 1: Triangle
Area = 0.5 * 13 * 9
Area = 58.5
Shape 2: Circle
Area = 22/7 * (16/2)^2
Area = 201.14
Shape 3: Rectangle
Area = 18 * 11
Area = 198
Shape 4: Kite
Area = 22 * 14/2
Area = 154
Shape 5: Rhombus
Area = 16 * 10/2
Area = 80
Shape 6: Parallelogram
Area = 6 * 11
Area = 66
Shape 7: Trapezoid
Area = 1/2 * (11 + 8) * 7
Area = 66.5
Shape 8: Trapezoid
Area = 1/2 * (4.2 + 8.4) * 3.6
Area = 22.68
Shape 9: Circle
Area = 22/7 * 6^2
Area = 113.14
Shape 10: Triangle
Area = 1/2 * 10 * 5.6
Area = 28
Shape 11: Square
Area = 15^2
Area = 225
Hence, the area of the square is 225 square units
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Which is the product of 15 and 5/12
A. 5 5/12
B. 6 1/4
C. 7 1/12
D. 7 3/4
Answer:
\(b)\ 6\frac{1}{4}\)
Step-by-step explanation:
Which is the product of 15 and 5/12
\(15*\frac{5}{12} \\\\\frac{15}{1} *\frac{5}{12}\\\\\frac{5}{1}*\frac{5}{4}\\\\ \frac{25}{4} \\\\6\frac{1}{4}\)
Hope this helps!
Hi!
Your answer is B.
Given:
\(15*\dfrac{5}{12}\)
Change \(15\) into a fraction by putting it over \(1\)
\(\dfrac{15}{1} * \dfrac{5}{12}\)
Multiply the numerators and the denominators by each other:
\(\dfrac{15*5}{12*1} =\dfrac{75}{12}\)
Simplify:
\(\dfrac{75/3}{12/3} = \dfrac{25}{4}\)
Mixed number form = \(6\dfrac{1}{4}\)
10(x + 4) + 15(x + 1)
55 x
25 x + 5
25 x + 55
Answer:
Step-by-step explanation:
10(x+4)+15(x+1)
10x+40+15x+15
25x+55
Find the missing number in 2,3,5,7,4,6,10,(?)
Answer:
The next number is 13.
This sequence consists of numbers which are sum of digits of 2^n.
For example: when n= 1, 2^n is 2 which is the first number of sequence.
When n=6, 2^6=64. So,6+4=10 which is sixth number of sequence.
So, when n=8, 2^8=256,So, 2+5+6=13 which will be the eighth number of sequence.
Hope this helps :)
Step-by-step explanation:
this question tho........... .
Answer:
Step-by-step explanation:
\(5\sqrt[3]{x+8}=35\\ \\ \sqrt[3]{x+8}=7\\ \\ x+8=7^3\\ \\ x+8=343\)
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
which of the following conditions is characteristic of a monopolistically competitive firm in both the short run and the long run? a. p > mc b. p < mr c. p
In both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc).
A monopolistically competitive firm is characterized by several conditions, both in the short run and the long run. In the short run, a monopolistically competitive firm will have a market price that is greater than its marginal cost (p > mc).
In the long run, a monopolistically competitive firm will have a market price that is equal to its marginal cost (p = mc). This is because, in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.
In conclusion, in both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc). This is because in the short run, the firm has some market power and can charge a higher price, and in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.
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the area of the base of a can is 45 square inches.its height is 12 inches.if 1/3 of the height is cut off,what will be the volume of the can?
Answer:
volume = 360 inches³
Step-by-step explanation:
The can itself is a cylinder. The volume of a cylinder can be calculated as follows
volume of a cylinder = πr²h
where
r = radius
h = height
1/3 of the height was cut off that means 1/3 × 12 = 4 inches of the height was cut off. The new height of the can will be 12 - 4 = 8 inches. Therefore,
volume = πr²h =
base area which is the area of a circle = πr² = 45 inches²
volume = 45 × 8
volume = 360 inches³
Question provided in attachment.
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.
How to calculate the valueSample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18
= 480 / 18
≈ 26.667
Sample Standard Deviation (s):
= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))
≈ ✓(319.778 / 17)
≈ ✓(18.81)
≈ 4.336
Confidence level = 99%
Sample Size (n) = 18
Sample Mean = 26.667
Sample Standard Deviation (s) = 4.336
Degrees of Freedom (df) = n - 1 = 18 - 1 = 17
Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.
Margin of Error (E) = 2.898 * (4.336 / ✓18))
≈ 3.748
Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)
= (22.919, 30.415)
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.
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PLS HELP ME WITH THIS QUESTION PLS SHOW YOUR WORKING OUT
The maximum volume of the cylinder is approximately 1257 cubic centimeters.
What is the maximum volume of the cylinder?The volume V of a right circular cylinder with radius r and height h is given by:
V = πr²h
Substituting the given expressions for the radius and height of the cylinder, we get:
V = πx²(800/πx - x)
Simplifying the expression, we get:
V = 800x - πx³
To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:
dV/dx = 800 - 3πx² = 0
3πx² = 800
x² = 800/3π
x ≈ 6.43
Substituting this value of x back into the expression for V, we get:
V ≈ 1257
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how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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Yo i need some math expert because im confused:
Is this true??:
9.06 = 9.6
Because if its true, does it mean that if you round it both to the nearest tenth, it would have the same answers.
If its false, i want to know why and what will be the answer if both numbers are rounded to the nearest tenth
MARKING BRANLIEST FOR A VALUABLE ANSWER! Anything off topic will be report.ed.
Can someone help find the surface area, then round the answer to the nearest whole number please?
The Surface Area of cylinders are: 100 yd² , 264 m², 226 mm²
The Surface Area of Can is 219 cm².
We know the formula for Surface Area of Cylinder
= 2πrh
1. Radius = 2 yd
Height = 8 yd
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 2 x 8
= 100 yd²
2. Radius = 7 m
Height = 6 m
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 6 x 7
= 264 m²
3. Radius = 3 mm
Height = 12 mm
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 3 x 12
= 226 mm²
4. Radius = 3.5 cm
Height = 10 cm
So, Surface Area of Can
= 2πrh
= 2 x 3.14 x 3.5 x 10
= 219 cm²
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V 11. What is the result of multiplying 2.5 x 10 10 by 3.5 x 10 -7
Answer:
(2.5 x 10^10) x (3.5 x 10^-7) <--- When multiplying, numbers can be arranged in any order.
= (2.5 x 3.5) x (10^10 x 10^-7) <--- When you multiply numbers with the same base, add their exponents.
= 8.75 x 10^3
Step-by-step explanation:
PLEASE HURRY!!!!II WILL MARK BRAINLEST
Evaluate expression for the given variable
8/t;t = 4
PLEASE HELPPP TYSMM!!!!!!
Answer:
2
Step-by-step explanation:
To evaluate the expression substitute t = 4 into the expression, that is
8/t = 8/4 =2
Answer:8/2=4
Step-by-step explanation:
Static variables and methods are accessed through a class rather than through an instance of a class.
True i asked my friend for help though
M(8,3) is the midpoint between the points A(4,5) and B. Find the coordinates of B.
Answer:
(12,-1)
Step-by-step explanation:
Let the coordinates of v to be x and y
(4+x)/2=8
4+x=16
X=12
(5+y)/2=3
5+y=2×3
5+y=6
Y=-1
B(12,-1)
Hello!
I am here with a few geometry questions today.
What quadrant would it be in?
When you answer this question please be sure to explain your answer and show work.
Good luck! Have a great day!
Answer:
C. quadrant IIIStep-by-step explanation:
Given point (2, -7)
Translation rule T₍₋₃,₁₎
Translated point is:
(2 + (-3), -7 + 1) = (-1, -6)Point (-1, -6) is located in the quadrant III as both coordinates are negative
Correct option is C
(1, 4); slope = -2 write the linear equation in slope intercept form given
Answer:
y=-2x+2
Step-by-step explanation:
The slope is -2x, meaning that the y-intercept can be found by working backwards from the given point. If the y value of the point is 4, subtracting 2 to get you to the point (0, 2) would provide the y-intercept.
Slope Intercept form is y=mx+b (m is the slope, x is the entered value, b is the y intercept)
An ______________ is an equation that is true for all values of the variable and has infinitely many solutions.
LESSON 17 SESSION 3
4 Ms. Duda's class is hanging 500 red lanterns around the
school for Lunar New Year. Before lunch, the class hangs
100 of the lanterns.
PART A Draw a model to show what percent of 500 lanterns
the class hangs before lunch.
The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.
To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.
Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."
Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."
Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.
Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.
The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.
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In a cookie jar there are 9 sugar cookies and 12 snickerdoodle cookies. The cookie are randomly mixed together in the jar. What is the probability of pulling two of the same types of cookies out of the cookie jar in a row without replacement?
Answer:
The probability of pulling two of the same types of cookies in a row without replacement is \(\frac{51}{105}\).
Step-by-step explanation:
There are a total of 21 * 20 = 420 different outcomes (After you take one cookie out, you aren't replacing it, so there will be 20 cookies in the jar on the second grab). There are a total of 9 * 8 = 72 different combinations of two sugar cookies, and 12 * 11 = 132 different combinations of two snickerdoodle cookies, so the total probability of pulling two of the same types of cookies in a row without replacement is \(\frac{132+72}{420} = \frac{204}{420} = \frac{51}{105}\).
Which equations are equivalent to Negative one-fourth (x) + three-fourths = 12 Select all that apply. (StartFraction negative 4 x over 1 EndFraction + three-fourths = 12 Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12 StartFraction negative x + 3 over 4 EndFraction = 12 One-fourth (x + 3) = 12 (StartFraction negative x over 4 EndFraction + three-fourths = 12
The equations which are equivalent to Negative one-fourth (x) + three-fourths = 12 are:
Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12
StartFraction negative x + 3 over 4 EndFraction = 12
(StartFraction negative x over 4 EndFraction + three-fourths = 12
Given equation is,
Negative one-fourth (x) + three-fourths = 12
This can be written numerically as,
-1/4 x + 3/4 = 12
-x/4 + 3/4 = 12, which is the last option.
This can be written as,
-1 (x/4) + 3/4 = 12, which is the second option.
Since the denominators are same in left hand side, adding the fractions, we get,
(-x + 3) / 4 = 12, which is the third option.
Hence the second, third and last options are equivalent equations.
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18. Multiply, then check your work by switching factors.
a. 693 x 83
b. 910 x 45
c. 38 x 84
d. 409 x 89
The requried, Multiplies(with switching factors.) area given below,
a.
693 x 83 = 57489
83 x 693 = 57489
The answer is 57489.
b.
910 x 45 = 40950
45 x 910 = 40950
The answer is 40950.
c.
38 x 84 = 3192
84 x 38 = 3192
The answer is 3192.
d.
409 x 89 = 36401
89 x 409 = 36401
The answer is 36401.
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Sandro would like to retire at age 60 with an income of $1500 per month from his
retirement savings. If he is to receive these payments until he is 90 years old, what
amount would he need in his retirement savings account at age 60, if the account
earns 4.5% compounded monthly?
The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.
How the present value is computed:The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.
End of withdrawal period = 90 years old
Beginning of withdrawal period = 60 years old
The number of years between 60 and 90 = 30 years
N (# of periods) = 360 months (30 years x 12)
I/Y (Interest per year) = 4.5%
PMT (Periodic Payment) = $-1,500
FV (Future Value) = $0
Results:
Present Value (PV) = $296,041.74
Sum of all periodic payments = $540,000 ($1,500 x 360 months)
Total Interest = $243,958.26
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what is the constant of proportionality for the relationship between x and y
The constant of proportionality for the relationship between x and y is defined as,
⇒ y = kx
Where, k is constant of proportionality.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We know that;
If y is directly proportion to x, then we can defined as;
⇒ y = kx
Where, k is constant of proportionality.
Hence, The constant of proportionality for the relationship between x and y is defined as,
⇒ y = kx
Where, k is constant of proportionality.
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How do I find the possible degree(s) of a function from the graph alone?
Answer:
To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:
Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.
Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.
Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.
Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.
which is true when x-3<2
Hey there!
“x – 3 < 2”
Let’s change your current question into a(n) equation to make it EASIER to solve (this is for temporary purposes ONLY)
• Temporary question
x – 3 = 2
• First: ADD BOTH SIDES by 3
x – 3 + 3 = 2 + 3
• CANCEL: –3 + 3 because that gives you 0
• KEEP: 2 + 3 because that helps solve for x
• New temporary question: 2 + 3 = x
2 + 3 = 5
The temporary question answer is: x = 5 ✅
NOW LETS SOLVE FOR YOUR ACTUAL EQUATION (just saying it REQUIRES the SAME steps as the temporary question just a TAD bit differently!)
x – 3 < 2
• FIRST: ADD both SIDES BY 3
x – 3 + 3 < 2 + 3
• CANCEL: –3 + 3 because that gives you 0
• KEEP: 2 + 3 because that helps us compare the answer with x
• New equation: x < 2 + 3
2 + 3 = 5
x < 5
Answer to your given question is: x < 5 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
PLEASE HELP ASAP!! FULL DETAILED ANSWERS!!!! NO BEGGING FOR BRAINLIEST!!!!!!
The admission fee at an amusement park is $ 3.00 for children and $ 7.00 for adults. On a certain day, 297 people entered the park, and the admission fees collected totaled $ 1551 . How many children and how many adults were admitted?
There were _________________ children admitted.
There were _________________ adults admitted
Answer:
There were 132 children admitted.
There were 165 adults admitted.
Step-by-step explanation:
Given information:
Child admission fee = $3.00Adult admission fee = $7.00Total admissions = 297 peopleTotal admission fees collected = $1,551Define the variables:
Let x = number of children admitted to the park.Let y = number of adults admitted to the park.Create two equations from the given information and defined variables:
\(\textsf{Equation 1}: \quad x+y=297\)
\(\textsf{Equation 2}: \quad 3x+7y=1551\)
Solve the first equation for y:
\(\implies x+y=297\)
\(\implies x+y-x=297-x\)
\(\implies y=297-x\)
Substitute the found expression for x into the second equation and solve for y:
\(\implies 3x+7y=1551\)
\(\implies 3x+7(297-x)=1551\)
\(\implies 3x+2079-7x=1551\)
\(\implies 2079-4x=1551\)
\(\implies 2079-1551-4x=1551-1551\)
\(\implies 528-4x=0\)
\(\implies 528-4x+4x=0 + 4x\)
\(\implies 528= 4x\)
\(\implies \dfrac{528}{4}= \dfrac{4x}{4}\)
\(\implies x=132\)
Substitute the found value of x into the expression for y and solve for y:
\(\implies y=297-x\)
\(\implies y=297-132\)
\(\implies y=165\)
Therefore:
There were 132 children admitted.There were 165 adults admitted.What number can you multiply ONE equation by in the following system to obtain a matching
coefficient? (Elimination)
4x+3y=8
2x+5y=12
(Worth 10 points )
Answer:
Multiply the second equation by 2
Step-by-step explanation:
Given
\(4x + 3y = 8\)
\(2x + 5y =12\)
Required
Get matching coefficient for elimination
\(4x + 3y = 8\)
\(2x + 5y =12\)
The coefficient of x in both expressions are factors.
So, we can multiply the second equation by 2 to get the coefficient of x in the first.
i.e.
\(2 * (2x + 5y = 12)\)
\(4x + 10y = 24\)
So, the system becomes:
\(4x + 3y = 8\)
\(4x + 10y = 24\)
Now, x can be eliminated
Please find the Y for both of these equation
4x - y = 4
X-2y=-6
Answer:
1). y= -4+ 4x
2). y= 3+ x/2
Step-by-step explanation:
hope this helps !