Answer:
1213.12 feet squared or 33.69 units squared
Step-by-step explanation:
Kitchen:
\(A_1 = 5^2 = 25 \ $units$^2\)
Formal Dining:
\(A_2 = 2 * 3 + 1 + 2 * \frac{1}{2} = 6 + 1 + 1 = 8 \ $units$^2\)
Breakfast nook:
\(A_3 = \frac{\pi r^2}{2} = \frac{\frac{3}{2}^2\pi}{2} = \frac{\frac{4}{9}\pi}{2} = \frac{2}{9}\pi \ $units$^2\)
Total:
\(T = A_1 + A_2 + A_3 = 25 + 8 + \frac{2}{9}\pi = 33 \frac{2\pi}{9} \ $units$^2 = 36(33 \frac{2\pi}{9}) \ $ft$^2 = 36 * 33 + 36 * \frac{2\pi}{9}) \ $ft$^2 = 1188 + 8\pi \ $ft$^2 \approx 1188 + 25.12 \ $ft$^2 = \fbox{1213.12}\)
Solve the system by the addition method. x + 3y = 6 3x + 4y = −2
The solution to the system is x = -6 and y = 4.
To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.
Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:
-3x - 9y = -18
+ 3x + 4y = -2
-------------
-5y = -20
Now we can solve for y by dividing both sides by -5:
y = 4
We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:
x + 3(4) = 6
x + 12 = 6
x = -6
So the solution to the system is x = -6 and y = 4.
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Give the degree of the polynomial
Answer:
10
Step-by-step explanation:
Given polynomial:
\(3x^2y^3+8x^3y^7\)
The degree of a polynomial is the largest exponent in the function.
When a polynomial has more than one variable, add the exponents of each variable in each term.
3x²y³ has a degree of 5, since both exponents add up to 5.
8x³y⁷ has a degree of 10, since both exponents add up to 10.
So the polynomial has a degree of 10.
What is the area of the parallelogram 60ftx67ft-52ft
To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.
New height = 67ft - 52ft = 15ft
Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.
Therefore, the area of the parallelogram is 900 square feet.
~~~Harsha~~~
Fred wants to split his savings of $1012.74 evenly into 3 different bank accounts. How much will be in each account
Answer:
$337.58
Step-by-step explanation:
$1,012.74 ÷ 3 = $337.58
please help me i’m failing:/
Answer:
Step-by-step explanation:
its c.
also dont give up hope
Answer:
C = 21
Step-by-step explanation:
trust me its correct brainliest pls
Let f(x) = 3x - 6 and g(x) = -5x + 7.
What is f+g?
Answer:
f+g = -2x+1
Step-by-step explanation:
Hey there! I will make your learning easier and clearer! If you have any doubts or questions, feel free to comment below!
We are given both functions:
\( \displaystyle \large{f(x) = 3x - 6} \\ \displaystyle \large{g(x) = - 5x + 7}\)
Since we want to find f+g which also means (f+g)(x), we just combine both functions!
\( \displaystyle \large{f + g = (3x - 6) + ( - 5x + 7)}\)
Cancel all brackets and combine like terms!
\( \displaystyle \large{f + g = 3x - 6 - 5x + 7} \\ \displaystyle \large{f + g = - 2x + 1} \\ \)
From above, combine 3x-5x = -2x and -6+7 = 7-6 = 1.
Still don't get it? Let's say we simply combine both functions or add both functions when we want to find f+g.
Ex.
For example, we are given f(x) = x+2 and g(x) = 2x+1. Find f+g.
We simply combine both functions and thus:-
f+g = x+2+2x+1
f+g = 3x+3 { 3(x+1) }
Answer:
f+g = 2x+1
Step-by-step explanation:
...............
Select all the correct answers.
Consider this polynomial.
p(x)=3x^3+11x^2-4x-6
Which statements are true?
Answer:
C, D
Step-by-step explanation:
1.)
the best way to figure this out is just plug in -2 for x
3(-2^3)+11(-2^2)-4(-2)-6
I put this into a calculator and get 22
2/3.) see attachment below for work
but C is correct
4.) in number one we determined that p(-2) =22 so yes
5.) we determined in 2/3 that it is in fact not, so no
The correct option for the polynomial is p(x) = 3x³ + 11x² - 4x - 6 are option 3 and option 4.
What is polynomial?ax² + bx + c, where a, b, and c are real numbers with a 0, is the formula for a quadratic polynomial in 'x' with real coefficients.
Degree: The degree of a polynomial is the highest exponent of the variable in the polynomial.
Calculation for the values of polynomial:
Step 1: Calculation for p(-2)To get the value of p(-2), at the place of 'x' put (-2) in the polynomial p(x).
p(x) = 3x³ + 11x² - 4x - 6
p(-2) = 3(-2)³ + 11(-2)² - 4(-2) - 6
p(-2) = 22
Thus, option 4 is correct and option 1 is incorrect.
Step 2: Calculate the quotient of p(x)To calculate the quotient divide the polynomial p(x) by (x +2)
The solution of this is attached in the file.
Therefore, option 3 is correct and option 2 is incorrect.
As, we can see from the division of polynomial p(x) by (x + 2) , the p(x) polynomial is not completely divisible by (x +2). Therefore, option 5 is also incorrect.
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Find all possible solutions. Give your answers in increasing order. Give your answers to the nearest thousandth.
√ (1x+1) +4=6x
The smaller possible solution is ?
Is it a solution? (yes or no)
The larger possible solution is ?
Is it a solution? (yes or no)
Anyone else have a issue watching ads right now like they dont work at all
Answer:
same here
Step-by-step explanation:
ive contacted brainly and I haven't gotten a response yet
The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years.
Predict the number of households with cable television in year 10.
A) 8.5 million
B) 10.8 million
C) 12.4 million
D) 14.1 milion
In scatter plot, 12 .4 million is the number of households with cable television in year 10.
What is scatter plot?
A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they may display the degree of connection, if any, between the values of observable quantities or events (referred to as variables).
slope = 9 - 5/7 - 1 = 4/6 = 2/3
N - 5 = 2/3 (T - 1 )
N(t) = 2/3 T + 13/3
when t = 11
N(11) = 2/3 * 11 + 13/3
= 35/3
= 12.4
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(-2) (4+6)+(-2) 6 / (-2) (4-1) simplified
The simplified form of the expression is \(-32\).
To simplify the expression, we can perform the calculations written below step by step:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)
We follow the order of operations (PEMDAS/BODMAS):
Step 1: Simplify within parentheses:
\(\(4+6 = 10\)\).
Step 2: Perform multiplications and divisions from left to right:
\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).
Step 3: Evaluate the remaining additions and subtractions:
\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).
Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)
When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.
Finally, review the simplified expression to ensure accuracy and validity within the given context.
Note: The complete question is:
\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.
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2. Which system has an infinite number of solutions?
a. x+2=y
4= 2y-x
b. 2y + 6 = 4x
-3=y-2x
c. y+3=2x
4x=2y-3
d. y = 2x - 5
-2 = y - 2x
Answer: B
Step-by-step explanation:
Substitution method
solve the equation for Y by putting the variable on the left. -3 = y - 2x would become y = 2x - 3
Plug Y into the top equation. 2(2x - 3) + 6 =4x
4x - 6 + 6 = 4x
Combine like terms
4x - 0 = 4x
4x = 4x
Infinite Solutions
Rule multiply the last number by 3 then subtract 2
2 4 10 _ _
Answer:
\(28\), \(82\)
Step-by-step explanation:
\(10 \times 3 -2=28\\28 \times 3 - 2 = 82\)
Simplify 25a/7 times 2a/5
Give your answer as a single fraction in its simplest form.
Answer:
10a²/7
Step-by-step explanation:
25a/7×2a/5
50a²/35
10a²/7
Answer:
lamohehsphbejrokrbbrjirorvv!hskosbbbwjoajwwjorvvrjfoisbbsiosbwbddpsba hzidb djfofvdjododvowjwwjfpgrdhvrjforvveif fbbrhfjvrjdoddvririvrhrHieojeh
Find value of b and A
Answer:
Hi
Step-by-step explanation:
Please paste your question so I can solve it
Thanks
Given the parent function f(x)=ln(x)(a) Write a function whose graph has been reflected in the x-axis, is three times as tall, and has been shifted four units to the left.(b) Write a function whose graph has been reflected in the y-axis, has been shifted seven units up, and is half as wide.(c) Calculate the inverse function for your answer to question (b).
Given the function
\(f(x)=\ln (x)\)a) When we multiply the parent function by –1, we get a reflection about the x-axis. Then
\(g(x)=-\ln (x)\)And three times as tall means 3 units up
\(g(x)=-\ln (x)+3\)Shifted four units to the left means shifted 4 units left
\(g(x)=-\ln (x+4)+3\)Answer: the new function is: g(x) = - ln(x+4) + 3
b) When we multiply the input by –1, we get a reflection about the y-axis.
\(g(x)=\ln (-x)\)Shifted seven units up
\(g(x)=\ln (-x)+7\)Half as wide means 1/2 f(x)
\(g(x)=\ln (-\frac{x}{2})+7\)Answer: the new function is:
\(g(x)=\ln (-\frac{x}{2})+7\)c) We find the inverse of
\(g(x)=\ln (-\frac{x}{2})+7\)Then by definition of inverses, g(x) = y
\(y=\ln (-\frac{x}{2})+7\)Next, replace all x’s with and all y’s with x
\(x=\ln (-\frac{y}{2})+7\)Now, solve for y
\(\begin{gathered} x-7=\ln (-\frac{y}{2})+7-7 \\ x-7=\ln (-\frac{y}{2}) \end{gathered}\)Apply properties of logarithms
\(\begin{gathered} e^{x-7}=-\frac{y}{2} \\ 2\cdot e^{x-7}=-\frac{y}{2}\cdot2 \\ 2e^{x-7}=-y \\ y=-2e^{x-7} \end{gathered}\)Answer:
\(g(x)^{-1}=-2e^{x-7}\)Using the given information, find the mean, median, and mode.
To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:
Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.
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Translate the following from words to an algebraic expression or equation, denoting the unknown by n.
15% of the amount by which a number exceeds 10,000
The translation from words to an algebraic expression, denoting the unknown by n is 0.15(n + 10,000)
Algebraic expressionlet
unknown number = n
a number exceeds 10,000= n + 1000
15% of the amount by which a number exceeds 10,000= 15%(n + 10000)
= 15/100(n + 10,000)
= 0.15(n + 10,000)
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I will mark brainlist please help!!
- dilation (lesson)
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)
Answer:
see explanation
Step-by-step explanation:
(1) False
A dilatation enlarges or reduces the original figure
Then the distance between consecutive vertices changes.
(2)
Assuming the centre of dilatation is at the origin then multiply the coordinates of the points by the scale factor k = 0.25 ( a reduction )
J (4, 8 ) → J' (4(0.25), 8(0.25) ) → J' (1, 2 )
K (8, 8 ) → K' (8(0.25), 8(0.25) ) → K' (2, 2 )
L (4, 2 ) → L' (4(0.25), 2(0.25) ) → L' (1, 0.5 )
help what are angles 3, 6, 8, 9, 11, 13, 14, 15, 16, 17, and 18
3. 128°
6. 136°
8. 96°
9. 96°
11. 136°
13. 52°
14. 128°
15. 44°
16. 136°
17. 128°
18. 52°
Slope and y-intercept of this
Answer:
Step-by-step explanation:
Find
f '(a).
f(x) = 3 − 4x
Answer:
f'(a) = -4
Step-by-step explanation:
f(x) = 3 − 4x
Take the derivative of the function
f'(x) = -4
f'(a) = -4
Determine the total surface area and volume of each figure.
The total surface area of solid is,
S = 220 m²
And, The volume of the prism is, 200 m³
We have to given that;
A solid prism is shown in figure.
Since, The surface area of a prism is,
S = (2 × Base Area) + (Base perimeter × height)
Where, "S" is the surface area of the prism.
Hence, We get;
base area = 5 x 10 = 50 m²
height = 4 m
Base Perimeter = 2 (5 + 10) = 30
Hence, We get;
S = (2 x 50) + (30 x 4)
S = 100 + 120
S = 220 m²
Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;
V = base area × height.
Now, For given figure,
Volume of the prism = base area × height
base area = 5 x 10 = 50 m²
height = 4 m
Hence, Volume = 50 × 4 m³
= 200 m³
Thus, The volume of the prism is, 200 m³
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If Fran were to paint her living room alone, it would take 6 hours. Her sister Denise could do the job in 8 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
It would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.
To solve this problem, we can use the concept of "work rates."
Let's find out how much work Fran and Denise can do individually in one hour.
If Fran takes 6 hours to paint the living room alone, her work rate is \(\frac{1}{6}\) of the room per hour \((\frac{1 room}{6 hours } = \frac{1}{6}room/hour )\).
Similarly, if Denise takes 8 hours to paint the living room alone, her work rate is \(\frac{1}{8}\) of the room per hour \((\frac{1 room}{8 hours } =\frac{1}{8}room/hour )\).
When they work together, their work rates are additive.
So, their combined work rate would be:
\(\frac{1}{6} room/hour+\frac{1}{8} room/hour\)
\(=(\frac{4}{24} )room/hour + (\frac{3}{24} )room/hour\)
\(=\frac{7}{24} room/hour\)
This means that working together, Fran and Denise can paint \(\frac{7}{24}\) of the living room in one hour.
To determine the total time required for them to paint the entire room, we can invert their combined work rate:
\(\frac{(1 room) }{(\frac{7}{24}room/hour) } =\frac{24}{7}hour\)
Therefore, it would take Fran and Denise (working together) approximately \(\frac{24}{7}\) hours to paint the living room.
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which best describes the triangle?
a) isosceles
b) acute
c) scalene
d) equilateral
Answer:
\(scalene \: triangle\)
Step-by-step explanation:
The above given triangle represents the unequal lengths of three sides properties of scalene triangle
hence, it's a scalene triangle♥Hope this helps you out!!!
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides
measuring x cm, 24 cm, and 24 cm. What is x?
x = 3 cm
x = 24 cm
x = 19 cm
x = 16,5 cm
HELPPP
Answer:
X = 3 cm
Step-by-step explanation:
X = 3 cm as the first triangle is measuring 43 cm and 24 x 2 = 48 so it has to equal a number as close as possible to that other number.
The value of the side of the second triangle is X = 16.5 cm.
What is a triangle?A triangle is a two-dimensional geometrical figure, that has three sides, three interior angles, and three vertices.
Here, two triangles are similar.
The sides of the first triangle are 16 cm, 16 cm, and 11 cm.
The sides of the second triangle are X cm, 24 cm, and 24 cm.
As two triangles are similar, therefore, the ratio of their sides will be similar.
Therefore, the ratio of the sides of first triangle and second triangle
=16/24
= 2/3
Therefore, the length of the side of the second triangle is(X)
= 11/(2/3) cm
= 33/2 cm
= 16.5 cm
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The net of a square pyramid is shown below: Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 2 inches. The height of each triangle attached to the square is 3 inches. The base of the triangle is the side of the square. What is the surface area of the solid? (5 points) a 16 square inches b 24 square inches c 28 square inches d 32 square inches
The solution is Option A.
The surface area of the square pyramid is given by S = 16 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the square pyramid be S
Now , the equation will be
The surface area of the square pyramid = surface area of square + 4 ( area of triangles )
And , the side length of square a = 2 inches
So , the area of square = a² = 4 inches²
The height of the triangle h = 3 inches
The base of the triangle = a = 2 inches
So , the area of the triangle = ( 1/2 ) x a x h
On simplifying the equation , we get
The area of the triangle = ( 1/2 ) x 2 x 3 = 3 inches²
So , the area of 4 triangles = 4 x 3 = 12 inches²
Now , The surface area of the square pyramid S = 4 inches² + 12 inches²
On simplifying the equation , we get
The surface area of the square pyramid S = 16 inches²
Hence , the surface area of pyramid is 16 inches²
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A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.
For what amount of calling do the two plants cost the same?
What is the cost when the tow plans cost the same?
Answer:
Step-by-step explanation:
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.
For what amount of calling do the two plants cost the same?
forty-six times y is no more than 276.
Answer:
yip that's all
Step-by-step explanation:
not more than 276 means less or equal to 276,
46 × y ≤ 276
y ≤ 6
Answer:
46y<276
Step-by-step explanation:
no more than means less than or equal to.
Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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