Answer:
$600
Step-by-step explanation:
2500+625+625+2500=6250
625/6250=.10 or 10%
6000 x .10=600
Store B should be apportioned $600 of the shared $6000 security costs.
To apportion the shared $6000 security costs to each store based on their square footage, we need to calculate the total square footage of all the stores and then determine the proportion of each store's square footage to the total square footage.
[tex]Total square footage = 2500ft^2 (Store A) + 625ft^2 (Store B) + 625ft^2 (Store C) + 2500ft^2 (Store D)[/tex]
[tex]Total square footage = 6250ft^2[/tex]
Now, let's calculate the proportion of Store B's square footage to the total square footage:
[tex]Proportion of Store B = Square footage of Store B / Total square footage\\Proportion of Store B = 625ft^2 / 6250ft^2[/tex]
Now, find the proportion in decimal form:
[tex]Proportion of Store B = 625 / 6250\\Proportion of Store B = 0.1[/tex]
To determine the portion of the security costs for Store B, multiply its proportion by the total security costs:
Portion of security costs for Store B = Proportion of Store B * Total security costs
[tex]Portion of security costs for Store B = 0.1 * $6000\\Portion of security costs for Store B = $600\\[/tex]
Therefore, Store B should be apportioned $600 of the shared $6000 security costs.
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Question 16
Use the rule for order of operations to simplify the expression as much as possible:
Question Help: Video
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Answer:
16
Step-by-step explanation:
[tex]5 + 9 \div 3 + 4 \times 2 \\ = 5 + 3 + 8 \\ = 16[/tex]
Multiplication and division are priority to addition and subtraction
Brainliest please
No files just type it in
( 3 × 5 ) + ( 2 × 4 ) =
15 + 8 = $ 23
Which functions have a range of ..
Answer:
Options (3) and (5)
Step-by-step explanation:
Option (1)
f(x) = x² + 7x - 2
= x² + 2(3.5)x + (3.5)² - (3.5)² - 2
= (x + 3.5)² - 14.25
Therefore, vertex of the graph → (-3.5, -14.25)
And the graph will open upwards.
Range of the function → [-14.25, ∞)
Option (2)
f(x) = -(x + 1)² - 4
Since, leading coefficient is negative, curve of the function will open downwards.
Vertex → (-1, -4)
Range of the function → [-4, -∞)
Option (3)
f(x) = -4x + 11
This function is defined for all real values of x.
Range of the function → (-∞, ∞)
Option (4)
f(x) = [tex]2^{x+3}[/tex]
Range of this exponential function → (0, ∞)
Option (5)
f(x) = [tex]\frac{2}{3}x-8[/tex]
Function is defined for all real values of x.
Range of the function will be (-∞, ∞)
Therefore, Options (3) and (5) are the correct options.
Sylvie finds the solution to the system of equations by graphing.
y = x + 1 and y = x – 1
Which graph shows the solution to Sylvie’s system of equations?
Answer:
the 2nd one
Step-y-step explanation:
NEED HELP
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
1
-12-11-10-9-8 -7 -6 -5 -4 -3 -2 -1
x
1 2 3 4 5 6 7 8 9 10 11 12
-1
Á
ܗ ܗ ܠ ܚ ܐ ܝܕ ܤܝܚܢܝ ܘܿ ܠܗܿ ܩܵ ܪ ܨܲܪ ܂
-7
-8
-9
-10
-11
-12
Answer:
Range: [-7, 8]
General Formulas and Concepts:
Algebra I
Reading a coordinate planeRange is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion, (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:
Range: [-7, 8]
Need the answer please help ?
Name the vertex for this parabola. *
y = (x + 6)^2 + 15
For the question my answer was -1 but other people were saying the answer was 53. This is my proof that the answer is -1.
Answer:
53 is the correct answer
Step-by-step explanation:
Your error is the first step
for x = 3
(3x)² = (3 * 3)² = 9² = 81
Double the number t?
Answer:
2t
Step-by-step explanation:
Answer the question in the picture
Answer:
10 ^3 * 10 ^2
1/ 10 ^5
10*10*10*10*10
Step-by-step explanation:
10 ^4^1 = 10 ^(4*1) = 10 ^4
10 ^3 * 10 ^2 = 10 ^(3+2) = 10 ^5
1/ 10 ^5 = 10 ^5
10 ^3^2 = 10 ^(3*2) = 10 ^6
10*10*10*10*10 =10 ^5
Solve the system by substitution.
— бу = x
x + y = -30
Step-by-step explanation:
-6y + y=-30
-5y = -30
y=6
x=-6 ×6= -36
The Jones family wants to enclose their circular garden with a fence. To the 1 point
nearest meter, what is the minimum length of fencing they need to buy?
Note that radius of garden is 62.5m. User as 3.14.
Answer:
Step-by-step explanation:
We have to find the circumference.
Length of the fence = 2πr
= 2* 3.14 * 62.5
= 392.5
= 393 m
Cuales son los terminos que siguen en cada sucesion:a)2,4,8,16,32,64,....B)1,3,5,7,9,....C)1,3,6,10,15,21,28,36,45
Answer:
a) Número siguiente = Número anterior * 2
b) Número siguiente = Número anterior + 2
c) Número siguiente = Número anterior + (n + 1)
Step-by-step explanation:
a) Para la secuencia 2,4,8,16,32,64, ....
El siguiente número es dos veces el número anterior.
Por ejemplo, 4 = 2 * 2, 8 = 4 * 2, 16 = 8 * 2 etc.
b) Para la secuencia 1,3,5,7,9, ....
El siguiente número es igual al número anterior + 2
Por ejemplo, 3 = 1 + 2, 5 = 3 + 2, 7 = 5 + 2 etc.
c) Para la secuencia1,3, 6,10,15,21,28,36,45
La diferencia entre los números aumenta en +1.
3-1 = 2
6-3 = 3
10-6 = 4
15-10 = 5
21-15 = 6
28-21 = 7
Lincoln is saving $360 to buy a new bike. He already has $85 and can earn $12 per hour at work. Which of the following equations describes the number of hours, h, for which Lincoln must work to earn enough money to buy the new bike?
Answer:
85 + 12w =360
Step-by-step explanation:
An indoor track is made up of a rectangular region with two semi-circles at the ends. The distance
around the track is 400 meters. Determine the radius of the semicircular ends of the track in terms of y.
Answer:
r = (200 - y)/π
Step-by-step explanation:
The question details includes;
The shape of the indoor track = Two semi-circular ends and a mid rectangular region
The distance around the indoor track = 400 meters
The radius, r, of the semicircular ends in terms of y = Required
Let y represent the length of the rectangular middle area of the track, we have;
The perimeter of the indoor track = The distance around the track = 400 m
The perimeter of the indoor track = 2 × π·r + 2 × y = 400
2 × (π·r + y) = 400
∴ π·r + y = 400/2 = 200
r = (200 - y)/π
A penny is dropped from the top of the chrysler building(320 m high). How fast is it moving when it hits the ground? (no troll)
Answer:
I would say pretty fast lol It would be traveling about somewhere beetween 30 to 50 mph because it would have hit terminal velocity at that point.
Please help me here in an algebraic maze that I hardly understand, please help me, my time is running out on a math test.
Answer:
??i never did this before
I need help with this question it’s due today!
Answer:
15
Step-by-step explanation:
4:5
4 x 3 = 12 girls
5 x 3 = 15 boys
12:15
Answer:
D. 15
Step-by-step explanation:
4:5
4/5×3/3=12/15
12/15.....12 girls, 15 boys
:) ur welcome
Could someone help, please?
Answer:
Option B
Step-by-step explanation:
By using geometric mean theorem in the given right angle triangle RST,
[tex]\frac{RT}{ST}=\frac{ST}{VT}[/tex]
[tex]\frac{RV+TV}{ST}=\frac{ST}{TV}[/tex]
[tex]\frac{4.1+10.2}{ST}=\frac{ST}{10.2}[/tex]
ST² = 10.2 × 14.3
ST = [tex]\sqrt{145.86}[/tex]
ST = 12.077
ST ≈ 12.1
Therefore, Option B will be the correct option.
Triangle NOP is similar to triangle QRS. Find the measure of side RS. Round your answer to the nearest tenth.
Answer:
22.1
Step-by-step explanation:
If the triangle is similar then the side lengths have common ratios
*Create ratio to solve for RS*
47.8/13 = RS/6
Now solve for RS
simplify
47/13 = 3.677
We now have 3.677 = RS/6
Multiply each side by 6
3.677 * 6 = 22.1
RS/6 * 6 = RS
we're left with RS = 22.1
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other
of this triangle?
• 5 cm and 8 cm 8
• 6 cm and 7 cm 7
• 7 cm and 2 cm
•
8 cm and 9 cm
3514 1404 393
Answer:
(d) 8 cm and 9 cm
Step-by-step explanation:
The sum of the short sides must exceed (not equal) the long side. The only proposed measures that do that are ...
8 cm and 9 cm
Answer:
{D. 8cm & 9cm}Step-by-step explanation:
#CARRYONLEARNING
1 kilogram of flour costs 80.00, calculate the number of kilograms in a bag is sold for 4,000.00
Answer:
a
Step-by-step explanation:
everything can be found in the picture
Answer:
50kg
Step-by-step explanation:
because 1 bag costs80
so
divide 4000
80
ans=50kg
Anyone know the answer? Please and thank you
Answer:
x = 9
Step-by-step explanation:
Given 2 secants from an external point to the circle , then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
3(3 + x) = 4(4 + 5) ← distribute parenthesis on both sides
9 + 3x = 16 + 20 = 36 ( subtract 9 from both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Simplify the trigonometric expression sin(4x)+2 sin(2x) using Double-Angle
Identities.
A. 8sin(x) cos(x) - 4 sin(x) cos(x)
B. 8sin(x) cos(x)
C. 8sin(x) cos(x) – 8 sin(x) cos(x)
D. 8 sin(x) cos' (x) +8sin(x) cos(x)
Answer:
[tex]{ \bf{ = \sin(4x) + 2 \sin(2x) }} \\ = { \bf{2 \sin(2x) \cos(2x) + 4 \sin(x) \cos(x) }} \\ { \bf{ = 4 \sin(x) \cos(x) . ({ \cos }^{2} x - { \sin}^{2} }x) + 4 \sin(x) \cos(x) } \\ = { \bf{4 \sin(x) \cos(x) ( { \cos }^{2}x - { \sin }^{2}x + 1) }} \\ = { \bf{4 \sin(x) \cos(x) }(2 { \cos }^{2} x)} \\ = { \bf{8 \sin(x) { \cos}^{3}x }}[/tex]
What are the solutions to the equation (2x+1)^2-(x+13)=3x^2-2x+2
Identify the domain of the function shown in the graph.
O A X20
OBXSO
O c. xis all real numbers.
D-43XSO
Can someone please help me
Answer:
A x >= 0
Step-by-step explanation:
a function is a defined mathematical operation (or a sequence of operations) that uses input values (typically called "x") and calculates the corresponding results (typically called "y").
so, y = f(x)
and (x,y) are then usually the coordinates on the grid.
the domain is the range or interval of numbers the function is using (x) to create results (y).
so, look at the graph !
for what values of x do you see the functional line drawn ?
that means, the functional line goes along only what part of the x-axis ?
I see it starts at x=0 and then continues all the way to the right and clearly further.
for me that means f(x) calculates values for every positive x we can think of. and including 0.
it does not do anything for any negative x-values.
so, clearly answer A (x>=0) is right.
during a sale , a shop allows 20%
discount of the marked price of clothing . What will a costumer pay for a dress with a marked price of $30?
Answer:
$24
Step-by-step explanation:
original price of a dress = $30
discount = 20%
discount amount = discount% of original price
=20/100 * 30
=30/5
=$6
price that consumer will pay after discount = $30 - $6
=$24
Step-by-step explanation:
6$
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UESTION 4
1
A certain number multiplied by five and then two subtracted,
the answer is seventy-seven. Find the number
Answer:
x = 15.8
Step-by-step explanation:
let the number be x
according to the question equation is
x*5 - 2 = 77
5x - 2 = 17
5x = 77 + 2
5x = 79
x = 79/5
x = 15.8
Answer:
5x - 2 = 77
x = 15.8
Step-by-step explanation:
a number - x
times 5 - 5x
minus 2 - 5x - 2
equals 77 - 5x - 2 = 77
77 + 2 = 79
79 ÷ 5 = 15.8
5(15.8) - 2 = 77
simplify (csc x)^2 - 1
Answer:
Step-by-step explanation:
[tex](cscx)^2-1=\frac{1}{sin^2 x} -1\\=\frac{1-sin^2x}{sin^2x} \\=\frac{cos^2x}{sin^2x} \\=(cotx)^2[/tex]
( 3 1 ) 2 +3 2 =left parenthesis, start fraction, 1, divided by, 3, end fraction, right parenthesis, squared, plus, 3, squared, equals
Answer:
I guess that we have the equation:
(1/3)^2 + 3^2 =
And we want to solve it.
Here just remember that:
3^2 = 3*3 = 9
then:
(1/3)^2 = (1/3)*(1/3) = 1/9
replacing these in the expression, we get:
(1/3)^2 + 3^2 = 1/9 + 9
If we want to write this as a single fraction, we can rewrite:
1/9 + 9 = 1/9 + (9/9)*9
= 1/9 + 81/9 = (1 + 81)/9 = 82/9
The solution to the equation is 82/9. The equation is: [tex](1/3)^2 + 3^2.[/tex]Calculate the square of [tex](1/3): (1/3)^2 = 1/9[/tex]
Calculate 3 squared:
[tex]3^2 = 9[/tex]
Now, substitute these values back into the original equation:
[tex](1/3)^2 + 3^2 = 1/9 + 9[/tex]
To add these fractions, you need a common denominator. In this case, the common denominator is 9:
1/9 + 81/9 = (1 + 81)/9 = 82/9
So, the solution to the equation is 82/9.
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Complete question is:
Solve the equation: (1/3)^2 + 3^2 =