Answer:
217/31=7. He needs to run 7 miles per day.
What is the reciprocal of the divisor 5 1/5 divided by 1/10
The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.
The reciprocal of the divisor: Reciprocal and division of fractions are two different methods. When the numerator and denominator of a fraction are interchanged, then it is said to be its reciprocal. Suppose a fraction is a/b, then its reciprocal will be b/a. A fraction is a numerical quantity that is not a whole number.
The reciprocal of the divisor 5 1/5 divided by 1/10
To the reciprocal of the divisor.
Equation: 5 1/5 divided by 1/10
1st: Flip the 1/10 to become 10/1
2nd: Change division to multiplication
New equation: 5.1/5.10/1
⇒ 50/5
⇒ 10.
The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.
To learn about more about the reciprocal of the divisor visit: brainly.com/question/11490331 #SPJ9.
use the distance formula to find the distance between each pair of points. (-1,4), (-4,-1)
Answer:
a.
Step-by-step explanation:
\(d = \sqrt{( y _2 - y) {}^{2} + ( x_2 - x ) {}^{2} } \)
\(d = \sqrt{( - 1 - 4) {}^{2} + \sqrt{ - 4 + 1) {}^{2} } } \)
\(d = \sqrt{ - 5 {}^{2} +( - 3 {}^{2} )} \)
\(d = \sqrt{25 + 9} \)
\(d = \sqrt{34} \)
What did Physics say to History when they are arguing?
Answer:
Hey!
Here's your answer!!
➡️Don't change the subject⬅️
Why do they even exist!?
Gotta study those experiments which we never perform and those people who are long gone xD
Some triangles can have more than one right angle true or false
Answer:
False
Step-by-step explanation:
Since a triangle must contain 3 interior angles all adding to 180°, then there can't be more than one right angle since 2 right angles would add up to 180°.
F(x) = x^2 - 1
1.What's the vertex
2.Find the Domain
3 Find the Range
4. Find The Axis of symmetry
Answer:
Vertex: ( − 2 , 3 ) Axis of Symmetry: x = − 2 Domain: R Range: R ≥ 3
Step-by-step explanation:
Explanation:
The "vertex form" for a parabola is XXX g ( x ) = m ( x − a ) 2 + b XXXXXX with the vertex at ( a , b ) To convert g ( x ) = 3 x 2 + 12 x + 15 into "vertex form" Extract the m XXX g ( x ) = 3 ( x 2 + 4 x ) + 15 Complete the square XXX g ( x ) = 3 ( x 2 + 4 x + 2 2 ) + 15 − 3 ( 2 2 ) XXX g ( x ) = 3 ( x + 2 ) 2 + 3 In complete vertex form: XXX g ( x ) = 3 ( x − ( − 2 ) ) 2 + 3 with the vertex at ( − 2 , 3 ) The equation is of the form for a parabola with a vertical axis of symmetry opening upward and since the axis of symmetry passes through the vertex, the axis of symmetry is x = − 2 g ( x ) = 3 x 2 + 12 x + 15 is defined for all Real values of x , therefore the Domain is x ∈ R . g ( x ) has values for all points at or above the vertex, therefore the Range is g ( x ) ∈ R ≥ 3 graph{3x^2+12x+15 [-7.85, 6.196, -0.84, 6.186]
Find the value of X.
Answer:
Step-by-step explanation:
2x×1=(√3)²
2x=3
x=3/2
50 points!
Divide the following polynomial
(a^2n - a^n - 6) (a^n + 8)
using long division explain every steps plz
Answer:
The answer is a^n+2n+8a^2n-a^2n-14a^n-48.
Step-by-step explanation:
1. Use the distributive property.
Multiply the second parenthesis by each term from the first parenthesis.2. Remove the parenthesis.
Distribute a^2 through the parentheses.Distribute -a^n through the parenthesis.Distribute -6 through the parenthesis.3. Collect like terms.
Hope this helps and if you could mark me as brainliest. Thanks!
The factored form of (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8) is
(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, (a²ⁿ - aⁿ - 6) is divided by (aⁿ + 8).
In case of long division in the quotient well multiply the first term of the divisor 'aⁿ' with such a number that it becomes equal to the first term of the dividend, Now aⁿ×aⁿ is a²ⁿ.
∴ (a²ⁿ - aⁿ - 6)/(aⁿ + 8) is,
(a²ⁿ - aⁿ - 6) = (aⁿ + 7)(aⁿ + 8) - 62/(aⁿ + 8).
learn more about long division here :
https://brainly.com/question/28824872
#SPJ2
Which of the following real-life situations is likely to involve a quadrilateral?
O a
O b
O c
Od
inflating a spherical balloon
baking a 3-layer circular cake
tiling a trapezoidal floor
building a pyramid with a triangle base
The real-life situation that is likely to involve a quadrilateral is tiling a trapezoidal floor. That is option C.
What a quadrilateral?A quadrilateral is defined as the structure or object that has four sides or edges, and also has four corners or vertices.
There are various types of quadrilateral that includes the following:
TrapezoidParallelogram.Rectangle.Rhombus.Square.Kite.Therefore, the tilling of trapezoidal floor is a typical example of a real-life situation that is likely to involve a quadrilateral.
Learn more about trapezoid here:
https://brainly.com/question/26256563
#SPJ1
given a circle with a diameter whose endpoints are (-2, -1) and (2, 5), write the equation of the circle.
The equation of the circle with diameter endpoints (-2, -1) and (2, 5) is x² + y² - 4y - 48 = 0.
Now, to find the equation of the circle given its diameter endpoints (-2, -1) and (2, 5), we can start by finding the coordinates of the center of the circle.
So, for our circle with diameter endpoints (-2, -1) and (2, 5), we can apply the midpoint formula to get the coordinates of the center:
((-2 + 2)/2, (-1 + 5)/2) = (0, 2)
Now that we have the center coordinates, we need to find the radius of the circle. To do this, we can use the distance formula, which gives us the distance between two points in a coordinate plane. The distance formula is given by:
√((x₂ - x₁)² + (y₂ - y₁)²)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
So, for our circle, we can use the distance formula to find the distance between the center (0, 2) and one of the endpoints, say (-2, -1):
√((2 - (-2))² + (5 - (-1))²) = √(4² + 6²) = √52
Therefore, the radius of the circle is √52.
Now that we have the center coordinates and the radius of the circle, we can plug them into the equation of a circle:
(x - 0)² + (y - 2)² = (√52)²
Simplifying the equation, we get:
x² + y² - 4y + 4 = 52
or
x² + y² - 4y - 48 = 0
To know more about equation here
https://brainly.com/question/10413253
#SPJ4
Which graph is the result of translating abc three units to the left and five units up
Solution
For this case we can see that the answer is:
The first plot in the left
Graph on a piece of paper y= -3x-2
Hey there! :)
Answer:
To graph y = -3x - 2, we can start by solving for some points. Plug in x values for x in the equation to solve for the y value:
X Y
-2 4
-1 1
0 -2
1 -5
2 -8
Use these points to graph the line (Graphed below)
I. What is
42% of
18?
need help fast!
Answer:
It is 7.56!
Other:
Brainliest? Thanks!
Select ALL the correct answers.
A skateboard company tracks the sales of their short boards and long boards. The company's records show the sales of short boards decrease every three months as represented by expression A, where t is the number of years that the boards have been for sale.
The company's records show that the sales of long boards increase every four months as represented by expression B, where t is the number of years that the boards have been for sale.
Select the statements that give a correct interpretation of the above expressions.
Expression A grows at a rate of 5% every three months, while expression B decays at a rate of 12% every four months.
Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every four months.
Expression A has an initial value of 0.95, while expression B has an initial value of 1.12.
Expression A decays at 5% every three years, while expression B grows at a rate of 12% every four years.
Expression A has an initial value of 624, while expression B has an initial value of 725.
Expression A decays at a rate of 5% every three months, while Expression B grows at a rate of 12% every four months and Expression A has an initial value of 624, while expression B has an initial value of 725 , Option B and E are the correct statements.
What is an Expression ?It is a mathematical statement tat consists of variables , constants and mathematical operators.
It is given that
The company's records show the sales of short boards decrease every three months as represented by expression A, where t is the number of years that the boards have been for sale.
The company's records show that the sales of long boards increase every four months as represented by expression B, where t is the number of years that the boards have been for sale.
\(\rm Expression\; A = 624(0.95)^{4t}\\\\Expression \; B = 725(1.12)^{3t}\)
From observing both the expression the initial value is when t = 0
when t = 0,
A = 624
B = 725
and so Expression A decays at a rate of 5% every three months, while expression B grows at a rate of 12% every four months and Expression A has an initial value of 624, while expression B has an initial value of 725 , Option B and E are the correct statements.
To know more about Expression
https://brainly.com/question/14083225
#SPJ1
Solve negative four and one third ÷ two and one fifth.
negative nine and eight fifteenths
negative eight and one fifteenth
negative one and 32 over 33
one and 32 over 33
Answer:
Step-by-step explanation:
answer b
Answer: Its C not B
Step-by-step explanation:
What is 27% of 61?
Pls help TvT
The following information was obtained from the accounting records of Letty Stores for the financial year ended 30 June 2021:
R
Inventory (1 July 2020)
100 000
Sales
600 000
Purchases
400 000
Sales returns
2 000
Purchases returns
3 000
Drawings: Bank
1 000
Inventory (30 June 2021)
120 000
Additional information:
1. On 29 June 2021, the owner took inventory with a cost price of R20 000 for own use. This transaction has not yet been recorded.
The entity uses the periodic inventory control system.
Required:
Use the information provided above to calculate the cost of sales for the year ended 30 June 2021.
Answer:
333234
Step-by-step explanation:
333234$ for the next 4 years and the ecvation is 69$+-2$
on a function map, the values for the domain of the function appear on the ______ and the values for the range appear on the _______
Answer:
domain is x
range is y
Step-by-step explanation:
The values for the domain of the function appear on the x-axis and the values for the range appear on the y-axis.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
For example f(x) = x²
Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.
The range is the interval where the function f(x) is defined whereas the domain is the input interval of the independent variable (x).
For example f(x) = x²
Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.
Hence "The values for the domain of the function appear on the x-axis and the values for the range appear on the y-axis".
For more details about the range and domain of the function,
brainly.com/question/28135761
#SPJ2
Circle O has a circumference of approximately 25077 ft.
Nhat is the approximate length of the diameter o?
40 ft
O 80 ft
0 125 ft
250 ft
Answer:
7,982 ft
Step-by-step explanation:
c = πd
25077 = πd
Divide both sides by π
25077/π = d
d = 7,982 ft
----------------------
I think the 25077 number in the question might be a typo
Just divide the correct number by 3.14 to get the diameter.
Uhh word words word solve equation words-
Answer:
54°
Step-by-step explanation:
In the given question we would like to solve for x .The two marked angles here are vertically opposite angles . And vertically opposite angles are equal .
So here (2x +2)° and (3x - 52)° are equal. Therefore,
\(\longrightarrow 2x + 2^o = 3x - 52^o\\ \)
\(\longrightarrow 2x - 3x = -52^o -2^o \\ \)
\(\longrightarrow -x = -54^o\\\)
\(\longrightarrow \underline{\underline{\boldsymbol{ x = 54^o }}} \)
Hence the value of x is 54°
And we are done!
Answer :
54°Explanation :
When two straight lines intersect each other, then the pairs of angles so formed without any common arm are called vertically opposite angles.Here,
\( \longrightarrow \sf \qquad \: (3x - 52) {}^{ \circ} = (2x + 2) {}^{ \circ} \)
\(\longrightarrow \sf \qquad \: 3x - 2x = 2 {}^{ \circ} + {52}^{ \circ} \)
\(\longrightarrow \bf \qquad \: x = {54}^{ \circ}\)
Which is the graph of the linear equality 2x-3y<12
Answer:
The graph below shows the answer to
2x - 3y < 12
Also shown as
-3y < -2x + 12
Step-by-step explanation:
You can rearrange the inequality by subtracting 2x from both sides to isolate the y.
You now have -3y < 12 -2x
which can be put into the standard linear equation form of
-3y < -2x + 12
Then you divide both sides by -3 to get singular value of y, which is something like
-3/-3y < -2/-3x + 12/-3
which is
y > 2/3x -4
Note: I switched direction of the inequality because you are dividing both sides by a negative value.
What is the total weight of the bags that weighed /8 pound each?
The total weight of Rice that Mark buys is given as follows:
2.5 pounds.
How to obtain the total weight?The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.
The weight of each bag is given as follows:
5/8 pounds = 0.625 pounds.
The number of bags is given as follows:
4 bags.
Hence the total weight of Rice that Mark buys is given as follows:
4 x 0.625 = 2.5 pounds.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Find the length of each arc. Round your answers to the nearest tenth. NO LINKS!! Part 1
Length of arc=r\(\theta\)
So
#1
\(\\ \rm\Rrightarrow Area=18(\pi/3)=6\pi cm\)
#2
\(\\ \rm\Rrightarrow Area=9(7\pi/4)=63\pi /4ft\)
HHHHHHEEELLLLPPP MMMEEE
Given the system of linear equations:
{y= -5 y=3x -2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from Part B.
QUESTION 1
the solution is (-1,-5)
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
-y=5
y=3x-2
0=3x+3
3x=-3
x=-3/3
x=-1
Then, we use this value to find the other one
y=3x-2
y=3(-1)-2
y=-3-2
y=-5
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
x+6y=6
-6y=-2x+12
x=-2x+18
x+2x=18
x=18/3
x=6
Then, we use this value to find the other one
x+6y=6
6+6y=6
6y=6-6
y=0/6
y=6
Therefore, the solution is (6,0),
A line is parallel to y=2x-8 and intersects the point (-4,-1) what is the equation of this parallel line?
Answer:
y = 2x + 7
Step-by-step explanation:
y + 1 = 2 ( x + 4 )
y = 2x + 8 - 1
y = 2x + 7
Find the exact value of (7\pi )/(6)) by using the unit circle.
To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.
To find the exact value of (7π/6) using the unit circle, follow these steps:
1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).
2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.
3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.
4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).
5. The exact value of (7π/6) is (√3/2, -1/2).
For more questions on the circle
https://brainly.com/question/28162977
#SPJ8
For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)
(g o f) (x),
(f o g)(2)
thanks!!
The final answer is (f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.
(f o g)(x):
To find (f o g)(x), we substitute g(x) into f(x):
(f o g)(x) = f(g(x))
Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:
(f o g)(x) = f(g(x)) = f(x^2 - 8)
Now we replace x in f(x^2 - 8) with x^2 - 8:
(f o g)(x) = (x^2 - 8)^2 + 8
Simplifying further:
(f o g)(x) = x^4 - 16x^2 + 64 + 8
(f o g)(x) = x^4 - 16x^2 + 72
Therefore, (f o g)(x) = x^4 - 16x^2 + 72.
(g o f)(x):
To find (g o f)(x), we substitute f(x) into g(x):
(g o f)(x) = g(f(x))
Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:
(g o f)(x) = g(f(x)) = g(x^2 + 8)
Now we replace x in g(x^2 + 8) with x^2 + 8:
(g o f)(x) = (x^2 + 8)^2 - 8
Simplifying further:
(g o f)(x) = x^4 + 16x^2 + 64 - 8
(g o f)(x) = x^4 + 16x^2 + 56
Therefore, (g o f)(x) = x^4 + 16x^2 + 56.
(f o g)(2):
To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:
(f o g)(2) = 2^4 - 16(2)^2 + 72
(f o g)(2) = 16 - 64 + 72
(f o g)(2) = 24
Therefore, (f o g)(2) = 24.
In summary:
(f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
for such more question on composite functions
https://brainly.com/question/10687170
#SPJ8
A health clinic dietician is planning a meal consisting of three foods whose ingredients are summarized as follows: One Unit ofFood I Food II Food IIIUnits of Protein 10 15 20Units of Carbohydrates 1 2 1Units of Iron 4 8 11Calories 80 120 100The dietician wishes to determine the number of units of each food to use to create a balanced meal containing at least 40 units of protein, 6 units of carbohydrates, and 12 units of iron, and with as few calories as possible. Use solver to find how many units of each food should be used in order to minimize calories.
Answer:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
Step-by-step explanation:
Protein Carbohydrates Iron calories
Food 1 (x₁) 10 1 4 80
Food 2 (x₂) 15 2 8 120
Food 3 (x₃) 20 1 11 100
Requirements 40 6 12
From the table we get
Objective Function z :
z = 80*x₁ + 120*x₂ + 100*x₃ to minimize
Subjet to:
Constraint 1. at least 40 U of protein
10*x₁ + 15*x₂ + 20*x₃ ≥ 40
Constraint 2. at least 6 U of carbohydrates
1*x₁ + 2*x₂ + 1*x₃ ≥ 6
Constraint 3. at least 12 U of Iron
4*x₁ + 8*x₂ + 11*x₃ ≥ 12
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers
With the help of an on-line solver after 6 iterations the optimal solution is:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
this is hard lets see if you well be able to do it
Answer:
I did the math the answer is 90
Step-by-step explanation:
if you multiply 15 by 6 you get 90
Supposed you buy two shares of a stock worth $100. It goes up by 50% .how much did you make
Answer:
The answer is $150
Step-by-step explanation:
hope that helps
Solutions: $100x.50=50
$100+$50= $150
Which point(s) are solutions to the inequality -x - 2y > 3? Select all that apply.
A. (-1, -2)
B. (1, -2)
C. (-2, -1)
D. (2.-4)
(-1, -2), (-2, -1) and (2, -4) are solutions to the inequality
The given inequality is:
-x - 2y > 3
To know which of the points given as options are the solutions to the given inequality, substitute the given points into -x - 2y, anyone that gives a result greater than 3 is a solution to the inequality
For (-1, -2)
Substitute x = -1, and y = -2 into -x - 2y
-(-1) - 2(-2)
= 1 + 4
= 5
Since 5 > 3, (-1, -2) is a solution to the inequality
For (1, -2)
Substitute x = 1, and y = -2 into -x - 2y
-(1) - 2(-2)
= -1 + 4
= 3
Since the result is not greater than 3, (1, -2) is not a solution to the inequality
For (-2, -1)
Substitute x = -2, and y = -1 into -x - 2y
-(-2) - 2(-1)
= 2 + 2
= 4
Since 4 > 3, (-2, -1) is a solution to the inequality
For (2, -4)
Substitute x = 2, and y = -4 into -x - 2y
-(2) - 2(-4)
= -2 + 8
= 6
Since 6 > 3, (2, -4) is a solution to the inequality
Therefore, (-1, -2), (-2, -1), and (2, -4) are solutions to the inequality
Learn more here: https://brainly.com/question/19507846