Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set
Question 3 1 pts Strawberries are on sale $7.00 for 3 pints. How much do they cost per pint?
Answer:
$2.33
Step-by-step explanation:
To find how much strawberries cost per pint, we would divide the seven dollars by 3 which will tell us how much each pint costs. Hope this helps, have a great day!
A pyramid has a square base with an area of 225 2. What is the perimeter of the base of the pyramid
Answer:
60 square unit
Step-by-step explanation:
side = √225.2 = 15
perimeter = side x 4
perimeter = 15 x 4 = 60 square unit
9x9 sudoko puzzle
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I done it
I attached it
Solve by factoring x^4+6x^2-27=0
Answer:
Step-by-step explanation:
x^4+6x^2-27=0
The two factors you need to use for 27 is 9 and 3.
Since the middle term must be plus then the 9 is also plus.
(x^2 + 9)(x^2 - 3)
x^2 + 9 can't be factored in the real number system.
x^2 - 3 = 0
(x + sqrt(3))(x^2 - sqrt(3))
The full factoring answer would be
(x^2+9)(x + sqrt(3))(x^2 - sqrt(3))
A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper?
make r the subject of the formula t=[tex]\frac{r}{r-3}[/tex]
Answer:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
Step-by-step explanation:
We are given the formula:
[tex]\displaystyle t=\frac{r}{r-3}[/tex]
And we are asked to make r the subject of the formula.
We can multiply both sides by r - 3. This reduces the denominator on the right-hand side:
[tex]t(r-3)=r[/tex]
Distribute:
[tex]rt-3t=r[/tex]
Subtracting rt from both sides yields:
[tex]-3t=r-rt[/tex]
Factoring:
[tex]-3t=r(1-t)[/tex]
Divide and simplify:
[tex]\displaystyle \begin{aligned} r & = \frac{-3t}{1-t} \\ \\ & = \frac{3t}{t-1}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle r=\frac{3t}{t-1}[/tex]
An article was sold for Rs 30
at a loss of 24%, what would
have been sale price, had it
been sold at 17% loss.
Answer:
Rs. 32.77
Step-by-step explanation:
At a loss of 24% sale price = Rs. 30At a loss of 17% sale price = ?----------
Finding cost price:
Sale price = cost - lossIf cost = x:
x - 24% = 300.76x = 30x = 30/0.76x ≈ 39.48SP at a loss of 17%:
39.48 - 17% = 39.48*0.83 ≈ 32.77How to reflect the triangle below across the line y = x.
Answer:
pre-image coordinates (x,y) imagine coordinates (y,x)
Step-by-step explanation:
bascially just switch the x and y coordinates and keep the sign :)
1. Find the slope of the line containing the points (9,6) (11,9).
Answer:
[tex]y=\frac{3}{2}x-\frac{15}{2}[/tex]
Step-by-step explanation:
Use the point-slope formula [tex]y-y_{1}=m(x-x_{1})[/tex]
First you have to find m with the formula [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]m = \frac{9 - 6}{11 - 9} = \frac{3}{2}[/tex]
Choose whichever point you want as [tex](x_{1}, y_{1})[/tex], in this case I'll choose [tex](9, 6)[/tex]
[tex]y - y_{1} = m(x - x_{1})\\y - 6 = \frac{3}{2} (x - 9)\\y - 6 = \frac{3}{2}x - \frac{27}{2} \\y = \frac{3}{2}x - \frac{27}{2} + 6\\y = \frac{3}{2}x - \frac{15}{2}[/tex]
One-half of a roll of wallpaper covers 1/10th of a wall. How many rolls of wallpaper are needed to cover half the wall? (a) 2/10 (b) 2 1/12 (c) 5 (d) 10
Answer:
2 1/2 rolls
Step-by-step explanation:
rolls : walls = (1/2) : (1/10) = ? : (1/2) = 5/2 : 1/2 (multiply by 5, since 1/2 = 5/10)
It takes 5/2 rolls = 2 1/2 rolls to cover half the wall.
Answer:
[tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall
The correct option is (b) 2 1/2
Step-by-step explanation:
To determine the number of rolls of wallpaper that are needed to cover half (1/2) the wall,
From the question,
One-half of a roll of wallpaper covers 1/10th of a wall.
Hence, we are to determine the number of rolls of wallpaper that are needed to cover 5/10th of the wall. (NOTE: 5/10th of the wall = 1/2 the wall)
Now,
First, we will find the part of the wall that will be covered by one roll of the wallpaper
If one-half of the roll of wallpaper covers 1/10th of the wall.
Then, one roll (two halves) will cover 2 × 1/10th of the wall
= 1/5th of the wall
Hence one roll will cover 1/5th of the wall
Now, for the number of rolls that will cover half (1/2) the wall
If one roll of the wallpaper covers 1/5th of the wall
Then, [tex]x[/tex] rolls of the wallpaper will cover 1/2 of the wall
[tex]x =\frac{1/2 \times 1}{1/5}[/tex]
[tex]x =\frac{5}{2}[/tex]
[tex]x =2\frac{1}{2}[/tex]
Hence, [tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall
Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width. Lyle can afford no more than 560 feet of fence. Write
an inequality to show that the perimeter of the dog pen can be no more than 560 feet.
2 (12 + w) + 2w < 560
(12 + 2) + w < 560
o 2(12 + w) + 2w< 560
0 (12+w) + w < 560
Answer:
2(2W+12) < 560
Step-by-step explanation:
Perimeter of a rectangular dog pen P = 2(L+W) where;
L is the length of the dog pen
W is the width of the dog pen
If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12
If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560
The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)
Substituting the given parameters;
2([W+12]+W)<560
2(2W+12)<560
Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560
what is the inverse of f(x) = -10x - 2
Answer:
f^-1(x)-(x/10)-(1/5).
Hope this helps!
Step-by-step explanation:
(See picture for explanation!)
-7y + 3 – 12 – 2y
What is the answer
Christian's car used 15 gallons to travel 270 miles. How far can he travel on 11 gallons?
Answer:
198
Step-by-step explanation:
270/15 gives us 18, his miles per gallon. multiply that by 11, and you get 198.
what is the value of this expression when p=-2 and q=-1 [(p^2)(q^-3)]^-2
Answer:
Find the exact value using trigonometric identities.
Exact Form: 1/16
Decimal Form:
0.0625
Step-by-step explanation:
One day Freya eats 12 ice creams
in 6 hours and the second day she
eats 14 ice creams in 7 hours. How
many ice creams does Freya eat
per hour?
Answer:
she ate 2 ice creams per hour
Step-by-step explanation:
round 27.68 to the nearest tenth
Answer:
27.7
Step-by-step explanation:
For this problem, we will simply use standard rounding conventions to round the number to the nearest tenth.
If the number after the target, the hundreths place in this case, is between 0 and 4, we won't change the tenths place. If the number is between 5 and 9, we will increment the tenths place by one.
So for our number, 27.68, 8 is between 5 and 9 so we will increment the tenths place by one for the round.
Hence, our rounded answer for the nearest tenth is 27.7.
Cheers.
What is the absolute value of 2.5
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Hi there!
~
The absolute value is the distance from 0 to 2.5. In this case the absolute value from 0 to |2.5| is 2.5
❀Hope this helped you!❀
☽------------❀-------------☾
the length of the rectangle is twice the breadth. the area of the rectangle is 128m2. find the length of the rectangle
Answer:
length =16
Step-by-step explanation:
area= breadth*length
length = 2 breadth --equation 1
(the length of the rectangle is twice the breadth)
128m^2= breadth*2 breadth
128m^2= 2 breadth^2
breadth^2= 128/2m^2
breadth^2=64m^2
taking square root on both sides
[tex]\sqrt{breadth^2}[/tex]=[tex]\sqrt{64m^2}[/tex]
[tex]\sqrt{breadth^2}[/tex]=[tex]\sqrt{(8m)^2}[/tex]
breadth= 8m (cancelling square root with power 2
put breadth in equation 1
length= 2*8
length= 16
CHECK:
area of rectangle = breadth * length
area= 8*16
area=128
A pitcher contains 19.25 cups of iced tea. You drink 1.25 cups of the tea each morning and 1.5 cups of the tea each evening. When will you run out of iced tea?
Answer:
Seven days
Step-by-step explanation:
From the information given, you know that you drink in a day 1.25 cups of the tea in the morning morning and 1.5 cups of the tea in the evening which is equal to:
1.25+1.5=2.75 cups a day
Now that you know the amount of cups that you drink in a day, you can divide the amount of cups in the pitcher by the amount of cups you drink in a day:
19.25/2.75= 7
According to this, the answer is that you will run out of iced tea after seven days.
The table shows the total cost, p, for renting a playroom for a birthday party with c party guests. Number of Party Guests (C) Total Cost (p), in Dollars 3 274 7 306 12 346 21 418 Which of the following equations represents the input/output table using function notation? O A. p = 8c + 250 O B. p = 258c C. f(c) = 8c + 250 O D. f(p) = 8c - 250
Answer:
Option (A)
Step-by-step explanation:
Let the equation of the linear function representing number of party guests (c) and total cost (p) is in the form of c = mp + b
m = Slope of the line
b = y-intercept
Choose the two ordered pairs from the table (3, 274) and (7, 306).
Slope of the function 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{306-274}{7-3}[/tex]
m = 8
Since, equation of a line passing through (x', y') and slope m is,
y - y' = m(x - x')
Therefore, equation of a line passing through (3, 274) and slope = 8,
y - 274 = 8(x - 3)
y - 274 = 8x - 24
y = 8x + 274 - 24
y = 8x + 250
Since, y = p and x = c
Therefore, p = 8c + 250 will be the equation.
Option (A) is the answer.
Answer:ok
Step-by-step explanation: the answer is A
A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes?
Answer:
42
Step-by-step explanation:
D-42 on EDG.
A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. The polygon has rotated 42 times after 7 minutes.
A polygon is known to be a plane figure with at least three equal sides and angles.
From the given information,
the sides of the polygon = 60 sidestime to complete a single rotation for 60 sides = 1 hourIn one full revolution, there are = 360°To estimate the revolution completed in 1 minute, we have:
[tex]\mathbf{= \dfrac{360 \ ^ 0}{60 \ ^ 0} }[/tex]
= 6° per minute
Now, to determine how much the polygon has rotated after 7 minutes, we have:
= (6° / minute) × 7 minutes
= 42°
Therefore, we can conclude that the polygon has rotated 42° in 7 minutes,
Learn more about polygon here:
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can someone please help me witch is the answer 20 points to the one who can answer first
First, let's find the slope.
Slope = (7 - (-3)) / (2 - 0) = (7 + 3) / 2 = 10 / 2 = 5
So far our equation looks like: y = 5x + b
Leta plug one of the points into our equation to find b.
-3 = 5(0) + b
Simplify.
-3 = b
The equation is: y = 5x - 3
Answer choice B is correct.
Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
Answer:
The rate of change of the function at x = 0.6 is approximately -0.72
Step-by-step explanation:
The given information from the graph are;
Points (0, 0) and (1, -0.5)
We have that the graph is that of a cubic function, therefore;
f(x) = ax³ + bx² + cx + d
At f'(x) at (0, 0) and (1, -0.5) = 0 gives;
3ax² + 2bx + c = 0
∴ c = 0
Also
ax³ + bx² + cx + d = 0
d = 0
We have
3a(1)² + 2b(1) + 0 = 0
3·a + 2·b = 0..............(1)
a(1)³ + b(1)² + c(1) + d = -0.5
a + b + 0×(1) + 0 = -0.5
a + b = -0.5..........(2)
Multiplying equation (2) by 2 and subtracting it from equation (1) gives;
2 × (a + b = -0.5) = 2·a + 2·b = -1
3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1
a = 1
From
a + b = -0.5, we have;
1 + b = -0.5 = 0
b = -0.5 - 1 = -1.5
The equation becomes
f(x) = x³ - 1.5·x²
The rate of change of the function at x = 0.6 is therefore given as follows;
f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x
At x = 0.6, we have;
f'(0.6) = 3·(0.6)² - 3·(0.6)
f'(0.6) = 3×0.6² - 3×0.6 = -0.72
The rate of change of the function at x = 0.6 ≈ -0.72
Un volcan lanza una roca con una rapidez de 47.5 m/s con un angulo de 39.4° sobre el eje x. La roca toca el suelo a 1750 m por debajo de la altura inicial si se desprecia la resistencia del aire y considerando un valor constante de aceleracion debido a la gravedad de 9.81 m/s¨2 cual es el tiempo en completar la trayectoria
Explicación paso a paso:
El tiempo necesario para completar la trayectoria se conoce como tiempo de vuelo.
Tiempo de vuelo = dónde;
U es la velocidad inicial del cuerpo = 47,5 m / s
es el ángulo de lanzamiento = 39,4 °
g es la aceleración debida a la gravedad = 9,81 m / s²
Sustituyendo los parámetros dados en la fórmula anterior, tendremos;
[tex]T = \dfrac{2(47.5)sin39.4^0}{9.81} \\\\T = \dfrac{95sin39.4^0}{9.81} \\\\T = \dfrac{95*0.6347}{9.81} \\\\T = \dfrac{60.2994}{9.81} \\\\T =6.1467 secs[/tex]
El tiempo necesario para completar la trayectoria es de 6.1467 segundos.
resultado de
[tex](4 + 5 + 3) + 8 = [/tex]
Steps to solve:
(4 + 5 + 3) + 8
~Add everything in parenthesis
12 + 8
~Add
20
Best of Luck!
[tex] \huge \purple {\tt {(4 + 5 + 3) + 8 =? }} [/tex]
Solution:By using parenthesis, we get
[tex] \huge \purple {\tt {12 + 8 = 20}} [/tex]
Answer:[tex] \huge \purple {\tt {20}} [/tex]
The expression 14 to the power of 6 divided by 14 to the power of 4 is equal to
Answer:
[tex]14^{2}[/tex] [tex]or 196[/tex]
Step-by-step explanation:
[tex]14^{6}[/tex] ÷ [tex]14^{4}[/tex]
all you have to do it subtract
[tex]14^{6} - 14^{4}[/tex]
=
[tex]14^{2}[/tex]
which is equivalent as 196.
to solve [tex]14^{2}[/tex], it's just
14 × 14 = 196
1 2
If a triangle is an equilateral triangle, then the triangle has exactly three 60°
angles. △ABC is an equilateral triangle?
Step-by-step explanation:
In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.
We know that the sum of angles of a triangle is equal to 180 degrees. It means that,
x+x+x=180
3x=180
x=60°
Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60° angles. Hence, △ABC is an equilateral triangle
What is an algebraic expression for "2 less than the product of 3 and a number x"? *
Answer:
3x-2
Step-by-step explanation:
The algebraic expression is 3x -2.
What is an algebraic expression?Algebraic expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have to determine an algebraic expression for "2 less than the product of 3 and a number x"
Here, the product of 3 and a number x
⇒ 3x
Therefore, 2 is less than the product of 3, and a number x as
⇒ 3x -2
Hence, the algebraic expression is 3x -2.
Learn more about an algebraic expression here:
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A student has a part time job in which she works 4 hour shifts. Her pay scale is $5.25 hour. How many shifts must she work to earn $220?
Answer:
Earning on one shift = 4**5.25= 21
to earn 220 she had to do 220/21= 10.48 shifts