Given :
A graph of Total Meals Packed vs Time( in hours ).
To Find :
How many meals would be packed in 20 hours.
Solution :
First we will find the equation of line.
Now, the line passes through ( 0, 0 ) and ( 4, 500 ).
So, equation of line passing through ( 0, 0 ) and ( 4, 500 ) is :
[tex]y - 0 = \dfrac{500-0}{4-0}( x - 0 )\\\\y = 125x[/tex]
Now, putting the value of x = 20 hours in above equation, we get :
y = 125 × 20 meals
y = 2500 meals
Therefore, number of meals packed in 20 hours is 2500 meals.
Which description is paired with its correct expression? two less than the quotient of a number cubed and four, increased by eight; 2 minus StartFraction n cubed Over 4 EndFraction + 8 six times the difference of five and a number squared; 6 (n squared minus 5) three more than the quotient of nine and a number cubed, decreased by two; 3 + StartFraction 9 Over n cubed EndFraction minus 2 twice the difference of a number squared and three; 2 n squared minus 3
Answer:
Three more than the quotient of nine and a number cubed, decreased by two; 3 + StartFraction 9 Over n cubed EndFraction minus 2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i took the review
A recipe calls for 1/3 cup of sugar for every 1/2 cup of flour. In cups, how much sugar is needed per one cup of flour?
Answer:
1 equals two of 1/2 which means you get the equation 1/3 x 2 for the answer
Asanji's school is selling tickets to a spring musical. On the first day of ticket sales the school
sold 1 adult ticket and 1 student ticket for a total of $18. The school took in $57 on the second
day by selling 3 adult tickets and 4 student tickets. Find the price of an adult ticket and the price
of a student ticket.
Answer:
j
Step-by-step explanation:
Answer: The price of adult ticket is $ 13and child ticket is $12.Hope this will help u.....
Step-by-step explanation:
-3 + x ≤ -11
a)x ≤ -8
b)x ≤ 8
c)x ≥ -8
d)x ≥ 8
Answer:
a) x ≤ -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-3 + x ≤ -11
Step 2: Solve for x
[Addition Property of Equality] Add 3 on both sides: x ≤ -8Here we see that any value x smaller than or equal to -8 would work as a solution to the inequality.
One lap around a track is equal to 1/4 of a mile. A horse ran a distance of 9 laps in 2 minutes and 30 seconds. What was the horse's average speed in miles per minute? Need Help!!
please help. loll
which expression is equal to 1/3b-7?
1)1/3(b+21)
2)-1/3(b-21)
3)-1/3(b+21)
4)1/3(b-21)
Answer:
4 1/3(b-21) im pretty sure
There is a line that includes the point (-5, 2) and has a slope of -3. What is its equation in slope-intercept form?
Answer:
y=-3x-13
Step-by-step explanation:
Answer:
1 .
Step-by-step explanation:
An inequality is shown below.
Which situation is best represented by the inequality?
Answer:
Option C is the correct answer.
Comment for explaination
match the graph to the equation
The area of the square above is 36. What is the value of x?
A) 2
B) 4
C) 6
D) 9
I think it is A)2 because 3^2 = 9 and 9×4 = 36
Write the negation of each of the following logical expressions so that all negations immediately precede predicates. In some cases, it may be necessary to apply one or more laws of propositional logic.
a. ∃x ∀y(P(x,y) → Q(x,y))
b. ∃x ∀y(P(x,y) → P(y,x))
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Answer:
a. Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [P(x,y)] ∨ ∃x ∃y ¬ [Q(x,y)]
Step-by-step explanation:
a.∃x ∀y(P(x,y) → Q(x,y))
Negation = ¬ [ ∃x ∀y(P(x,y) → Q(x,y)) ]
= ∀x ¬ [ ∀y(P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ (P(x,y) → Q(x,y)) ]
= ∀x ∃y ¬ [ ¬P(x,y) ∨ Q(x,y) ]
= ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x ∃y P(x,y) ∧ ¬Q(x,y) ]
b. ∃x ∀y(P(x,y) → P(y,x))
Negation = ¬ [ ∃x ∀y(P(x,y) → P(y,x)) ]
= ∀x ¬ [ ∀y(P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ (P(x,y) → P(y,x)) ]
= ∀x ∃y ¬ [ ( P(x,y) ∧ P(y,x) ) ∨ ( ¬P(x,y) ∧ ¬P(y,x) )]
= ∀x ∃y ¬ [ P(x,y) ∧ P(y,x) ] ∧ ¬[ ¬P(x,y) ∧ ¬P(y,x) ]
= ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [ P(x,y) ∨ P(y,x) ]
∴ we get
Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]
c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)
Negation = ¬ [ ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) ]
= ¬ [ ∃x ∃y P(x,y) ] ∨ ¬ [ ∀x ∀y Q(x,y) ]
= ∀x¬ [ ∃y P(x,y) ] ∨ ∃x ¬ [ ∀y Q(x,y) ]
= ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
∴ we get
Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [ P(x,y) ] ∨ ∃x ∃y ¬ [ Q(x,y) ]
Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)
Answer:
The equation is y = (2/3)x + (4/3).
Step-by-step explanation:
First, you have to change the equation into slope-intecept formula to find its gradient (slope) :
[tex]3x + 2y = 12[/tex]
[tex]2y = - 3x + 12[/tex]
[tex]y = - \frac{3}{2}x + 6[/tex]
Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :
[tex]m1 \times m2 = - 1[/tex]
[tex] - \frac{3}{2} \times m2 = - 1[/tex]
[tex]m2 = - 1 \div - \frac{3}{2} [/tex]
[tex]m2 = \frac{2}{3} [/tex]
Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :
[tex]y = \frac{2}{3}x + b[/tex]
[tex]let \: x = 1,y = 2[/tex]
[tex]2 = \frac{2}{3} (1) + b[/tex]
[tex]b = 2 - \frac{2}{3} [/tex]
[tex]b = \frac{4}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Derrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders.
Which inequality can be used to find the possible values for s?
PLEASE ANSWER THIS QUESTION RIGHT.What do we call the graph of a quadratic?
Answer:
parabola
Step-by-step explanation:
f(x)=2x-11
FIND x when f(x)= -17
Answer:
[tex]f(x) = 2x - 11 \\ f (x)= 2( - 17) - 11 \\ \\ f(x) = - 34 - 11 \\ f(x) = - 45[/tex]
Evaluate the expression 6x for x 6.
6x = blank when x=6
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
x = 6[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of 6x[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
~ Plug the value of x and then multiply !
⇾ [tex] \tt{6x = 6 \times 6 \times = \boxed{36}}[/tex]
[tex] \red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \tt{36}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Can someone please help
Answer:
340
Step-by-step explanation:
Solve the equation d/3=11
Final Answer: [tex]d = 33[/tex]
Steps/Reasons/Explanation:
Question: Solve the equation [tex]\frac{d}{3} = 11[/tex].
Step 1: Multiply both sides by [tex]3[/tex].
[tex]d = 11[/tex] × [tex]3[/tex]
Step 2: Simplify [tex]11[/tex] × [tex]3[/tex] to [tex]33[/tex].
[tex]d = 33[/tex]
~I hope I helped you :)~
Solve for x, given the attached image.
Answer:
x = 8
Step-by-step explanation:
Central angle = measure of intercepted arc
Central angle = 47°
Arc measure = 7 + 5x
Therefore:
7 + 5x = 47
Subtract 7 form both sides
5x = 47 - 7
5x = 40
Divide both sides by 5
x = 40/5
x = 8
1.
El año pasado, un orador motivacional llamado Rhiannon dio 20 charlas en el extranjero. Este año, dio
13 charlas en el extranjero. ¿Cuál es el porcentaje de disminución de las charlas en el extranjero del
año pasado a este año?
A. 75%
B. 40%
C. 35%
1) Base
2)Median
3)Altitude
4)Hypotenuse
Answer:
Altitude
Step-by-step explanation:
AD is the height\altitude. It shows the distance from the base to the highest point of a triangle.
Answer:
altitude
Step-by-step explanation:
You get about 32 homework assignments every 4 weeks. Circle
equation that models this.
Use your equation to determine the number of homework
assignments you get after 9 weeks.
solve fast please. its related to mathematics...
Answer:
The answer is 6
Step-by-step explanation:
[tex]\lim_{x \to 4} \frac{x^3 - 64}{x^2 - 16} \\\\= \lim_{x \to 4} \frac{x^3 - 64}{(x + 4)(x - 4)} \\\\=\lim_{x \to 4} \frac{(x^2 + 4x + 16)(x - 4)}{(x + 4)(x - 4)} \\\\= \lim_{x \to 4} \frac{(x^2 + 4x + 16)}{(x + 4)} \\\\= (16 + 16 + 16) / 8\\= 48 / 8\\= 6[/tex]
Factor the expression. d2 + 10d + 25
Answer:
(d+5)^2
Step-by-step explanation:
Find the perimeter of the polygon.
9514 1404 393
Answer:
30 in
Step-by-step explanation:
The enclosing rectangle is 4 by 10, so has a perimeter of ...
P = 2(L+W) = 2(10+4) = 28
The notch adds 2 inches to the perimeter, so the total of all side lengths is ...
28 +2 = 30 . . . inches
Which graphs are inverses of one another? Graph A and B Graph A and C Graph B and C none of the graphs shown On a coordinate plane, graph A is in quadrants 1, 2, 3. Graph A is rotated across the x-axis to form graph B. Graph A is rotated and reflected across the axis to form Graph C.
Answer:
the answer is B (graph a and c)
just did the test on edg 21
Step-by-step explanation:
i hope this helps!! have an amazing day <3
If a graph is reflected across y = x then it will be an inverse graph so graphs B and C will be inverse.
What is the inverse of a function?The inverse of a function is basically a reverse function or undo of the function.
For example y = f(x) then inverse will be x = f(y).
It means in the inverse function we need to interchange x and y.
Another example y = 3x² ⇒ x = √(y/3) will be the inverse.
An inverse function is a reflection of graph across y = x and due to that coordinate will interchange its that ;
( x ,y ) → ( y , x )
Since graph A is rotated about the x-axis to make graph B
Now,
Graph A is rotated( which is B ) and reflected across the axis y = x to form Graph C.
So B and C will be the inverse of each other.
Hence "If a graph is reflected across y = x then it will be an inverse graph so graphs B and C will be inverse".
For more information about the inverse of a function,
brainly.com/question/2541698
#SPJ2
The given question is incomplete complete question is ;
Which graphs are inverses of one another? Graph A and B Graph A and C Graph B and C none of the graphs shown On a coordinate plane, graph A is in quadrants 1, 2, and 3. Graph A is rotated across the x-axis to form graph B. Graph A is rotated and reflected across the axis y = x to form Graph C.
If and are the radi of two concentric circles and (r. > r.). If the chord
of the larger circle AB touches the inter circle. Find the value of AB
Answer:
r1 and r2 are the radii of two concentric circles
To find:
The length of the chord of the larger circle.
Solution:
We have given the two concentric circles which means both the circles have the same centre.
The chord of the larger circle toches the inner circle so the chord of the larger circle will be the tangent of the smaller circle.
And we know that the radius of the circle is perpendicular to the tangent of the circle.
Let 2x be the length of the chord of the circle.
r1 is the radius of the larger circle.
r2 is the radius of the smaller circle.
So by the Pythagoras theorem,
The length of the half of the chord is given by:
r1² = x² + r2²
x² = r1² - r2²
x = √r1² - r2²
So,
The length of the chord will be 2x = 2√r1² - r2² units
Step-by-step explanation:
Show all work for the following
Algebraically solve the following system of equations.
(x+2)2+(y-3)2=16
x+y-1=0
Answer:
[tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
Step-by-step explanation:
Given:
[tex](x+2)^2+(y-3)^2=16\\x+y-1=0[/tex]
To find: value of [tex]x,y[/tex]
Solution:
[tex](x+2)^2+(y-3)^2=16\,\,\,...(i)\\x+y-1=0\,\,\,(ii)[/tex]
From (ii),
[tex]x=1-y[/tex]
Put this value of [tex]x[/tex] in (i)
[tex](1-y+2)^2+(y-3)^2=16\\(3-y)^2+(y-3)^2=16\\(y-3)^2+(y-3)^2=16\\2(y-3)^2=16\\(y-3)^2=8[/tex]
[tex]y-3=[/tex] ± [tex]\sqrt{8}[/tex] = ± [tex]2\sqrt{2}[/tex]
[tex]y=3[/tex] ± [tex]2\sqrt{2}[/tex]
At [tex]y=3[/tex] + [tex]2\sqrt{2}[/tex] ,
[tex]x=1-(3+2\sqrt{2})=1-3-2\sqrt{2}=-2-2\sqrt{2}[/tex]
At [tex]y=3-2\sqrt{2}[/tex] ,
[tex]x=1-(3-2\sqrt{2})=1-3+2\sqrt{2}=-2+2\sqrt{2}[/tex]
Solutions are [tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]
What is the height of the cone below?
Answer:
Where's the cone at and I might be able to help
Step-by-step explanation:
Answer: Please put a picture of the cone underneath the question!
Step-by-step explanation:
Which of the following is the graph of y= -√ x + 1?
Answer:
check
Step-by-step explanation:
y intercept = (0,1)
x intercept = (1,0)
Answer:
Answer below hopes it helps
Step-by-step explanation: