Answers
Answer:
Area of room = 21 * 16
= 336 m²
Area of Carpet = (21 - 1)* (16-1)
= 20*15
= 300
Area of border = Area of room - Area of carpet
= 336 - 300
= 36 m².
Related Questions
Hey can I have help with this question. An explanation would be great as I find things difficult to understand :)
Answers
Answer:
[tex](0, -\frac{15}{2} )[/tex]
Step-by-step explanation:
When a straight line crosses the y-axis, the point that touches it is called the y-intercept. We can find the y-intercept by plugging in zero as the value for 'x', as any x value on the y-axis is zero. So plugging in x = 0 into the equation '3x - 2y = 15', we get -2y = 15, so y = -15/2. The point would be [tex](0, -\frac{15}{2} )[/tex], as x = 0 when y = -15/2.
Part A: Is there any correlation between the number of hours spent practicing and the score in the game? Justify your answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate? (3 points)
Answers
All the parts are answered , y = 6x + 5 represents the scatter data points given.
The complete question is
A coach is assessing the correlation between the number of hours spent practising and the average number of points scored in a game. The table shows the data:
Number of hours spent practising
(x) 0 0.5 1 1.5 2 2.5 3 3.5 4
Score in the game
(y) 5 8 11 14 17 20 23 26 29
Part A: Is there any correlation between the number of hours spent practising and the score in the game? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate? (3 points)
What is a Function ?A function is a law that connects the y and x variable , i.e. the dependent and independent variable.
Part (A)
There is a positive correlation between the number of hours spent practising and the score in the game , as the time is increasing the scores is also seen to be increasing.
Part (B)
From the online scatter point equation calculator or by using three points which best fits the linear regression the equation can be determined
y = 6x + 5
x represents the timeline spent in practising
Part C:
slope = 6
When the time spent practising increases by 1 hour, the average scores increases by 1 hour, the score in a game is predicted to increase by an average of 6 and
as intercept = 5
When no time is spent on the practice the score obtained is 5.
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suppose that average total cost is $36 when q=24. what is the profit-maximizing price and resulting profit?
Answers
The profit-maximizing price and resulting profits are $36 and $0 respectively.
What is profit-maximizing price?The profit-maximizing price for the monopoly will be to produce at the quantity where marginal revenue is equal to marginal cost.
Therefore, suppose the average total cost is $36 when q = 24, the profit maximizing price is as follows:
when Q = 24 at average cost = $36,
Then,
profit-maximizing price = p = $36
Hence, the resulting profit is as follows;
resulting profit = 36 - 36 = $0
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Find the area of the triangle, given that sin(C) = 1/2. Round the answer to the nearest whole number.
A. 26 square units
B. 75 square units
C. 150 square units
D. 299 square units
Answers
Answer: 75 square units
Given:
sin(C) = 1/2
Area of Triangle:
= 1/2 × a × b × sin(C)
= 1/2 × 13 × 23 × 1/2
= 74.75
≈ 75 square units
Question 8(Multiple Choice Worth 1 points)
(07.05 MC)
Use the key features of the polynomial f(x) = 2x³ + 5x² - 2x - 3 to describe its end behavior.
O The left side continues down, and the right side continues up.
O The left side continues down, and the right side continues down.
O The left side continues up, and the right side continues down.
O The left side continues up, and the right side continues up.
Answers
The key feature is that; The left side continues down, and the right side continues up.
How to describe the behavior of a Polynomial?We are given the polynomial;
Polynomial function;
f(x) = 2x³ + 5x² - 2x - 3
Leading coefficient = 2
Degree of the polynomial = 3
Since, degree of the polynomial given is odd and the leading coefficient is positive.
Therefore, left side of the graph will continue down and the right side continues up.
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Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of value.
Answers
Tony's coins in ascending order of value will be 5p, 10p, and 15p.
Definition of in Ascending order
Arranged in a series that begins with the smallest or least and ends with the largest or greatest The children were lined up in ascending order of height. Test score are listed in ascending order from lowest to highest.
How do depict the information?
Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.
In this case, 5p + 10p + 15p = 30p
10p + 15p + 15p = 40p
5p + 5p + 10p + 15p + 15p = 50p
Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.
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A robot moves at a constant speed. The distance it moves and the time it spends moving are shown in this table:
10min 7km
15min 10.5km
20min 14km
Write an equation to describe the relationship between t, the time, and d, the distance.
Answers
The equation to describe the relationship between t, the time, and d, the distance is t = 1.43d
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
As we know,
time(t) = speed(s)×distance(d)
Speed is constant:
t ∝ d
t = kd
k = t/d = 10/7 = 15/10.5 = 20/14 = 1.428 ≈ 1.43
The equation is:
t = 1.43d
Thus, the equation to describe the relationship between t, the time, and d, the distance is t = 1.43d
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Answer:
d=0.7t
Step-by-step explanation:
the other dude is wrong
The measure of an angle is 42.1°. What is the measure of its complementary angle?
Answers
Answer:
47.9°
Step-by-step explanation:
complementary angles are two angles that add up to 90° [90 degrees]
so, we can find the complementary angle of 42.1 by finding what angle it needs to add up to 90
we can use subtraction to find this value:
90 - 42.1 = 47.9
So, the complementary angle to the angle 42.1° has a measure of 47.9°
hope this helps, have a lovely day!! :)
You need to know that two angles are complementary when they are equal to 90°. If you want to find the complement of an angle, and you have one of the angle measures, you need to subtract it from 90°. You have an angle measure of 42.1°. This will be the number you subtract.
⇢ 90° - 42.1°
⇢ 47.9
Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a square?
Shape ABCD is shown. Point A is at negative 3, 5. Point B is at 1, 7. Point C is at 3, 3. Point D is at negative 1, 1.
Answers
A square has 4 equal length sides and a right angle
Or two equal length diagonals which are perpendicular
Or 4 right angled corners and two adjacent sides equal
Or perpendicular diagonals with the same midpoint
Using the last one…
Gradient of AC = (5 - 3)/(-3 - 3) = 2/-6 = -1/3
Gradient of BD = (7 - 1)/(1 - -1) = 6/2 = 3
-1/3 x 3 = -1 so AC and BD are perpendicular
Midpoint of AC = ((-3 + 3)/2 , (5 + 3)/2) = (0, 4)
Midpoint of BD = ((1 + -1)/2 , (7 + 1)/2) = (0, 4)
QED
(X-3)2 -0
Ajuda, alguém ajuda?
Answers
Answer:
(X- 3)² - 0
(X - 3 )( X - 3 )
x² + 9 - 6x
x² - 6x + 9
a = 1
b = -6
c = 9
Solve for x.
x2 + 2x + 1 = 0
Answers
Answer:
x = -1
Step-by-step explanation:
factor and you get
(x + 1)(x + 1) or (x + 1)^2
now set it equal to zero
x + 1 = 0
subtract one from both sides
x = -1
When the outlier are removed, how does the mean change?
A.
The mean decreases by 3.
B.
The mean increased by 2.
C.
The mean increased by 3.
D.
There are no outliers.
Answers
Step-by-step explanation:
hope you can understand
Evaluate f^3+11g-4hf
3
+11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.
The correct question is:
Evaluate the value of f³+11g-4h, where the value of f is 3, the value of g is 2 and the value of h is 7.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is,
f³+11g-4h
= (3)³ + 11(2) - 4(7)
= 27 + 22 - 28
= 21
Hence, The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.
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Answer:
21
Step-by-step explanation:
Please help with a good explanation
Answers
So first distribute 4x+6+2x-10=44
Combine like terms: 6x-4=44
Add four to both sides 6x=48
Divide 6 x=8
The answer for x is 8
What is the value of x when Rq=3x+2 ,QN =2x and SM=3x?
Answers
The value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
RQ = 3x+2 ,QN = 2x and SM=3x
In the figure, the TM, Rn, and SL are medians of the triangle SRT and Q is the centroid.
The centroid of the triangle divides each median in the ratio 2:1
RQ/QN = 2/1
(3x+2)/2x = 2/1
After solving:
3x + 2 = 4x
x = 2
Thus, the value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.
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Which angle refers to the same angle as \angle DAC∠DACangle, D, A, C?
Answers
Answer:
Option
Step-by-step explanation: The way tell what the answer is are the similar lines. The single yellow line helps indicate that it's a similar angle.
A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years?
Answers
Answer:
$2,753.79
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $2,000r = 3.25% = 0.0325n = 1t = 10Substitute the given values into the formula and solve for A:
[tex]\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}[/tex]
[tex]\implies \sf A=2000(1.0325)^{10}[/tex]
[tex]\implies \sf A=2753.788608...[/tex]
Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.
If c = 16, solve for b
Answers
Answer:
Step-by-step explanation:
given
cos(30°) = [tex]\frac{adjacent}{hypotenuse} \\[/tex]
cos(30°) = [tex]\frac{b}{c} \\[/tex]
cos(30°)=[tex]\frac{b}{16}[/tex]
b = 16cos(30°)
b [tex]16(\frac{\sqrt{3} }{2})\\ = 8\sqrt{3}[/tex]
Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check all
that apply.
✔x(3) = 2(4)
x(5) = 10
x(1.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12
Intro
Done
3 of 12
Answers
Answer: x(5) = 10 has the multiplication property.
Step-by-step explanation:
To verify the multiplication property of equality , We need to put the value of x= 2
1. x(5) = 10
Solution = 2(5) = 10 ✔
2. x(1.5) = 2(2)
Solution = 2 (1.5) = 3 X
3. x(0.5) = 2(0.5)
Solution = 2 (0.5) = 1 X
4. x(12) = 12
Solution = 2 (12) = 24 X
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Answer:
Step-by-step explanation:
answer B and D
I got it right and didnt spell the entire constitution
Re-write the quadratic function below in Standard Form y = −(x−4) (x+3)
Answers
Answer:
y=-x²+8x+16
Step-by-step explanation:
y= -3(x – 4)(x – 4)
We multiply
y=(-3x+12)(x-4)
Expand the bracket
y= x(-3x+12) -4(-3x+12)
y=-3x²+12x
-4(-3x+12)
+12x+48
y=-3x²+24x+48
Divide by 3
y=-x²+8x+16
A 12 foot ladder leans against a wall so that the base of the ladder is 7 feet from the wall. How high up on the wall will the ladder reach? Round to the nearest hundredth of a foot.
Answers
Reason
Using the Pythagorean theory,
a^2 + b^2 = c^2 (the hypotenuse)
Since we know the diagonal measurement (the hypotenuse) we will call c=12
We know one leg is 7, so we will call b=7
Now we will solve for “a”
Changing the equation to subtract
c^2 - b^2 = a^2
Substitute in our numbers
12^2 - 7^2 = a^2
144-49= a^2
95 = a^2
Take square root of both sides
9.746 = “a” the unknown length
Round to nearest hundredth
9.75
On day 1, Perry shipped packages and tracked their weight to the nearest kilogram. The packages weighed 1, 8, 1, 12, 1, 11, 7, and 6 kilograms.
On day 2, Perry shipped 12 kilograms more weight than he did on day 1 while shipping the same number of packages.
What is the increase in the mean kilograms per package for the second day compared to the first?
Enter your answer in the box.
Answers
Answer:
1.5kg
Step-by-step explanation:
The mean for the packages on day 1 will be:
= (1 + 8 + 1 + 12 + 1 + 11 + 7 + 6)/8
= 47/8
= 5.875
The mean for day 2 will be:
= (47 + 12)/8
= 59/8
= 7.375
The increase in mean:
= 7.375 - 5.875
= 1.5
Select the correct answer.
Consider the function represented in this table.
X
f(x)
-1
-21
0
-9
1
3
2
15
Which of these tables could represent the inverse of function f? Ahh
Answers
A Baker Had 1/3 Cups Of Suger . he Added 1/9 Cups To It Find The Total Number Of Sugar . ( Can Someone Help Me Out)
Answers
The total number of sugar will be 9/4.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A Baker Had 1/3 Cups Of Sugar.
he Added 1/9 Cups To It
Let the number of sugar be x
x (1/3) + 1/9x = 1
3x + 1x = 9
4x = 9
x = 9/4
Hence, the total number of sugar will be 9/4.
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The coordinates of the vertices of △HIJ are H(−2,2), I(8,−2), and J(−4,−3). Identify the perimeter of △HIJ to the nearest tenth
Answers
Answer:
28.2
Step-by-step explanation:
The perimeter of a plane figure is the sum of the lengths of its sides. Those lengths and their sum can be found a number of different ways.
__
graphing aidThe values computed by the graphing program in the attachment add up to 28.2 units.
__
using algebraThe length of each side of the triangle can be computed using the distance formula or the Pythagorean theorem. For a given "rise" and "run", the length of a line segment is ...
d = √(rise^2 +run^2)
HI = √((-4)^2 +10^2) = √116 ≈ 10.770
IJ = √(1^2 +12^2) = √145 ≈ 12.042
JH = √(5^2 +2^2) = √29 ≈ 5.385
The perimeter is the total of the lengths of the sides:
P = HI +IJ +JH = 10.770 +12.042 +5.385 = 28.197
To the nearest tenth, the perimeter is 28.2 units.
Solve for x. Round to the nearest tenth, if necessary
Answers
[tex]\tan 61^{\circ}=\frac{59}{x}\\\\x=\frac{59}{\tan 61^{\circ}} \approx \boxed{32.7}[/tex]
1. Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (−4,4) and parallel to the line whose equation is 7x−9y−8=0 Question content area bottom Part 1 The equation of the line in point-slope form is enter your response here. (Type an equation. Use integers or fractions for any numbers in the equation.) Part 2 The equation of the line in general form is enter your response here=0. (Type an expression using x and y as the variables. Simplify your answer. Use integers or fractions for any numbers in the expression.)
Answers
1) The equation of the line passing through (−4, 4) and parallel to the line whose equation is 7x − 9y − 8 = 0 is; y - 4 = ⁷/₉(x + 4)
How to find the equation of a line?
1) We are told that the line passes through (−4, 4) and is parallel to the line whose equation is 7x − 9y − 8 = 0
Thus, let us rearrange to find the slope.
7x − 9y − 8 = 0
⇒ 9y = 7x - 8
⇒ y = ⁷/₉x - ⁸/₉
Slope; m = ⁷/₉
Now, the point slope formula is;
y − y₁ = m(x − x₁)
where;
y₁ is the y-coordinate
x₁ is the x-coordinate
m is the slope
Thus the line Passing through (−4,4) is;
y - 4 = ⁷/₉(x + 4)
2) The equation in general form is;
y = 4 + ⁷/₉x + ²⁸/₉
y = ⁷/₉x + ⁶⁴/₉
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Alex, jas and stef each get a student loan to help with living expenses. they decide to allocate two fifths of their loans for food, and one-sixth for travel. what fraction of their student loan will be left to spend?
Answers
The fraction of their student loan will be left to spend is half of their loan.
A number expressed quotient, in which numerator is divided by denominator is called a fraction.
Let the loan amount be $100.
Expenses for food is given that two fifths of their loan
i.e.
= 2/5 × 100
= $40
Now,
Remaining part will be = $100- $40 = $60
So,
Expenses for travel are given that one sixth of their loan,
i.e.
= 1/6 × 60
= $10
So,
Remaining part will be = $60 - $10 = $50
Hence, the fraction of their student loan will be left to spend is half of their loan.
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write √a^8a^3 as an algebraic expression using a rational exponent
Answers
Answer:
A
Step-by-step explanation:
I assume that the whole expression a⁸a³ is under the square root.
then remember 2 things :
1. when multiplying the same base variable (or constant) the result is that single base variable (or constant) to the power of the sum of the exponents.
e.g. x³x² = x⁵ because
x×x×x × x×x = x×x×x×x×x = x⁵
2. a square root as exponent is 1/2.
a cubic root is 1/3 and so on.
therefore
sqrt(a⁸a³) = sqrt(a¹¹) = a^11/2
simplify -9 2/7-(-10 3/7)
Answers
Answer:
8/7
Step-by-step explanation:
-convert the mixed fractions into improper fractions
-find the LCD (least common denominator)
-solve!
-65/7-(-73/7)
8/7
mixed number form: 1 1/7
hope this helps!!
Answer:
8/7
Step-by-step explanation: