Answer:
C =81.64 cm
Step-by-step explanation:
The circumference is given by
C = 2* pi *r
The radius is 13
C = 2 * 3.14 * 13
C =81.64 cm
Answer:
\(= 81.64cm \\ \)
Step-by-step explanation:
\(c = 2\pi \: r \\ = 2 \times 3.14 \times 13 \\ = 81.64cm\)
hope this helps
brainliest appreciated
good luck! have a nice day!
QUESTION 2
Tau runs business of selling stationery from a small rented room in town from Monday
to Saturdays. He keeps a careful record of his expenses.
Week
2
Assistant Wages R450 R450
Rental
R1200 R1200
Electricity and Water R65,75 R75,50
Stationery
R3 478,00 R3 512,00
Telephone R180,00 R215,00
Municipal Services R61,30 R61,30
Other expenses
R112,00 R135,00
Total Expenses B
R5648,80
3
R450
R1200
R75,50
A
R370,00
R61,30
R142,00
R6083,80
4
R450
R1200
R83,45
R4328,00
R475.00
R61,30
R176 15
R
(4)
2.1
Calculate the missing values A and B.
Calculate the average expense per working day on telephone calls for the 4 weeks.
(4)
2.2
The profit in Week 3 was R4 645. Calculate the income in Week 3.
2.3
(4)
2.4
Calculate the profit margin to the nearest percentage for Wock 3.
Use the formula:
Income-Expenses
Profit margin-
X 100%
Expenses
2)
1181
Calculate the income in week 4 at breakeven point.
2.5
Answer:
Step-by-step explanation:
ppleasepplease share the answers when got them
Select the correct answer.
What is the value of x?
The picture shows a triangle. The length of the right sideline is x and the base is 15. The angle of the left vertex is 45 degrees.
A.
7.5
B.
10.6
C.
15
D.
21.2
The value of x is approximately 10.6. So, the correct answer is B. 10.6
To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.
Using the sine function, we have:
sin(45 degrees) = x / 15
To solve for x, we can rearrange the equation:
\(x = 15 \times sin(45 degrees)\)
Using the exact value of sin(45 degrees) (which is √2 / 2), we have:
\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)
x = 7.5√2
Therefore, the correct answer is B. 10.6.
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I promise I will mark brainlest at the first chance I get.
Question: Laila is setting up a conical tent in the backyard. The height of the tallest part of the tent is 7 feet. The inside of the tent has a volume of 56 cubic feet. How many square feet are covered by the base of the tent?
(Not a multiple choice.)
Answer:
\(24\)
Step-by-step explanation:
Easy. I got it right.
Answer:
its 24 mark the other guy ( or girl )
Step-by-step explanation:
what is the value of x?!?
please help!
Answer:
x = 25
Step-by-step explanation:
The given angles, x° and (6x+5)° form a linear pair. You want the value of x.
Linear pairTwo angles that together form a straight line are called a linear pair. A linear pair of angles has a total measure of 180°.
x° +(6x +5)° = 180°
7x +5 = 180 . . . . . . . . . divide by °, collect terms
7x = 175 . . . . . . . . . . subtract 5
x = 25 . . . . . . . . . . divide by 7
The value of x is 25.
Help please helppppppp
Answer:
whts the question
Step-by-step explanation:
Match the equations with the value of x that makes them true. 2(2x − 3) = 6 5x − 2x − 4 = 5 x + 2x + 3 = 9 5(x + 3) = 25 4x − (2x + 1) = 3 5x − (3x − 1) = 7
Each of the equations should be matched with the value of x that makes them true as follows:
x = 2; x + 2x + 3 = 9, 5(x + 3) = 25, and 4x − (2x + 1) = 3.
x = 3; 2(2x − 3) = 6, 5x - 2x - 4 = 5, and 5x − (3x − 1) = 7.
How to determine the true equations?In order to determine which x-values are true solutions based on the given equations, we would have to test each of the values of x by substituting them into the equations as follows;
When x = 2, we have:
2(2x − 3) = 6
4x − 6 = 6
4(2) - 6 = 6
8 - 6 = 6
2 = 6 (False).
When x = 3, we have:
2(2x − 3) = 6
4x − 6 = 6
4(3) - 6 = 6
12 - 6 = 6
6 = 6 (True).
When x = 2, we have:
5x - 2x - 4 = 5
3x - 4 = 5
3(2) - 4 = 5
6 - 4 = 5
1 = 5 (False).
When x = 3, we have:
5x - 2x - 4 = 5
3x - 4 = 5
3(3) - 4 = 5
9 - 4 = 5
5 = 5 (True).
When x = 2, we have:
x + 2x + 3 = 9
3x + 3 = 9
3(2) + 3 = 12
9 = 12 (False).
When x = 3, we have:
x + 2x + 3 = 9
3x + 3 = 9
3(3) + 3 = 12
12 = 12 (True).
5(x + 3) = 25
5x + 15 = 25
5x = 25 - 15
5x = 10
x = 2 (True).
4x − (2x + 1) = 3
4x - 2x - 1 = 3
2x = 3 + 1
2x = 4
x = 2 (True).
5x − (3x − 1) = 7
5x - 3x + 1 = 7
2x = 7 - 1
2x = 6
x = 3 (True).
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Write in Slope Intercept Form :-)
Erica earned $261 last week. If she worked 18 hours and earned the same
amount each hour, how much was she paid per hour?
Answer:
$14.50
Step-by-step explanation:
261/18 = 14.50
You would divide them by each other because if you are getting that much money after working that many hours and you want to know how much you get per hour, you would divide the numbers by each other.
I hope this helps you :)
Help pls 100 points plus brainiest
In a science experiment, Mathilda and Jonathan observed how a spring's length changed when they hung blocks of different weights from its end. They noted the weight in pounds and the increase in the spring's length in inches. The graph shows the data that they recorded.
So we probably the question is find equation of graph
Take two points
(0,0)(3,2.4)Slope
m=y/xm=2.4/3m=4/5Equation
y=MXy=4/5x5y=4xAnswer:
y=0.8x or 5y=4x
Step-by-step explanation:
Solution Given:
let weight be x and increase in length be y.
since the line passes through centre it doesn't have constant term
the equation will be y=mx.
where m is the slope
to find the slope m = y intercept/x intercept=0.8 or 4/5
equation becomes
y=0.8 x
or'
y=4/5*x
5y=4x
Alexander needs to collect at least 120 cans for a food drive to urban community service credit he has already collected 64 items
Answer:
120-64=56
Step-by-step explanation:
Pleaseeeee helppp quick
Answer:
A. The triangles are similar because the ratios of the corresponding sides are the same
Step-by-step explanation:
Both ∆sloom similar in shape. Let's find out if they are actually similar.
∆TUV and ∆QRS are similar if the ratio of their corresponding sides are the same all through.
Thus:
TU = 70, QR = 25, UV = 84, RS = 30, TV = 42, QS = 15
If both ∆s are similar, then, TU/QR = UV/RS = TV/QS
TU/QR = 70/25 = 2.8
UV/RS = 84/30 = 2.8
TV/RS = 42/15 = 2.8.
Ratio of corresponding sides is the same, therefore, both triangles are similar.
Therefore, the following statement is true:
A. The triangles are similar because the ratios of the corresponding sides are the same
Find the probability that a randomly selected point within the square falls in the red shaded square
The probability that a randomly selected point within the square falls in the red shaded square is 1/16
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.
Probability = sample space /total outcome
sample space is the area of the red shaded square and the total outcome is the big square.
Area of red shaded square = 1 × 1 = 1unit²
area of the big square = 4 × 4 = 16 units²
Therefore the probability that a point selected falls on the red shaded square
= 1/16
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1
Select the correct answer.
If function g has the factors (x-7) and (x + 6), what are the zeros of function g?
OA. -7 and 6
-6 and 7
6 and 7
-7 and -6
Reset
Next
Correct answer is B. The zeros of the function g will be ( -6 and 7.)
(x-7) and (x + 6) are factors in a function g.
To locate: The function g's zeros.
Because x-a=0 x = a, we know that if (x-a) is a function's factor, then x-a is the function's zero.
The fact that (x - 7) and (x + 6) are factors in the function g is a given.
x-7=0
x = 7
Likewise, x+6=0
x = -6
As a result, the function g's two zeros are -6 and 7.
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Lucas 15 iguanas and five dogs what is the ratio of dogs to iguanas?
Answer:
so the ratio is what? to me I think it's 15 iguanas to 5 dogs
Step-by-step explanation:
have a great day :)
is y = -x + 5 non-linear or linear
Answer:
It's linear
Step-by-step explanation:
Linear equations have no exponents higher than a 1, which is the case for this equation cause if there's no exponent it's cause it's just a 1. Non-linear has a exponent higher than a 1, ex. \(x^{2}\)
why do the hands on the clock form an angle?
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
What factoring method would be the BEST choice
4x² - 121
( 2x + 11 ) ( 2x - 11 ) is factor of linear equation .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
A linear equation with one variable is one that contains just one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.
= 4x² - 121
= (2x)² - ( 11 )²
= ( 2x + 11 ) ( 2x - 11 )
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construct a venn diagram illustrating the sets below.
U = {1,2,3,4,5,6,7,8,9}
Y={1,3,4,6}
Z={1,4,8}
Change the Venn diagram if needed
The Venn Diagram for these given sets is graphed at the end of the answer.
What is a Venn Diagram?A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.
For this problem, we have that:
Elements 1 and 4 belong to the intersection of sets Y and Z.Elements 3 and 6 belong only to set Y.Element 8 belongs only to set Z.The remaining elements belong only to the universal set U.The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.
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Answer:
Step-by-step explanation:
If you have 440 red and blue buttons predict how many would be red.
Answer:
maybe 220/440?
Step-by-step explanation:
Answer mark me branlyist
Step-by-step explanation:
Does a canvas that is 22 inches wide and 27 inches tall have the same area? Explain.
Need help placing in correct spot
The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.
Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.
Hence,
∠3 = 180 - 62 = 118 degrees(angles on a straight line)
∠1 ≅ ∠3 (vertically opposite angles)
∠7 ≅ ∠3 (alternate interior angles)
∠5 ≅ ∠7 (vertically opposite angles)
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A new bank customer with $5,000 wants to open a money market account. The bank is offering a
simple interest rate of 1.5%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
Answer:
Amount of interest in 30 year = $2,250
Account balance after 30 year = $7,250
Step-by-step explanation:
Given:
Amount deposit P = $5,000
Simple interest rate = 1.5% = 0.015
Find:
Amount of interest in 30 year
Account balance after 30 year
Computation:
Interest = PRT
Amount of interest in 30 year = (5,000)(0.015)(30)
Amount of interest in 30 year = $2,250
Account balance after 30 year = P + I
Account balance after 30 year = $5,000 + $2,250
Account balance after 30 year = $7,250
a certain antihistamine is often prescribed for allergies. a typical dose for a 100-pound person is 21 mg every 6 hours.
a. how many 12.7 mg chewable tablets would be taken in a week?
b. this antihistamine also comes in a liquid form with a concentration of 12.7 mg / 6 ml following the prescribed dosage how much liquid antihistamine should a 100-pound person take in a week?
Answer:
a)46 tablet approx
b)277 ml approx
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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O
Problem !. Draw the Logic Circuit for:
BD + BE + D'F
Problem 2. What is the boolean Expression of F5?
B
X
Y
Z
F5
The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.
To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.
Step 1: Apply De Morgan's laws
NOT (R AND NOT P) can be simplified as (NOT R) OR P.
Step 2: Distributive property
F5 = (P AND Q) OR ((NOT R) OR P)
Step 3: Apply associative property
F5 = (P AND Q) OR (P OR (NOT R))
Step 4: Apply absorption law
F5 = P OR (P OR (NOT R))
Step 5: Apply idempotent law
F5 = P OR (NOT R)
By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.
Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.
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The question probable may be:
Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:
F5 = (P AND Q) OR (R AND NOT P)
Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?
f(1)=0
f(n)=f(n−1)+2
Answer: f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
Step-by-step explanation: Using the given recursive formula:
f(1) = 0
f(n) = f(n-1) + 2
We can find the values of f(n) for different values of n:
f(1) = 0
f(2) = f(1) + 2 = 0 + 2 = 2
f(3) = f(2) + 2 = 2 + 2 = 4
f(4) = f(3) + 2 = 4 + 2 = 6
f(5) = f(4) + 2 = 6 + 2 = 8
And so on.
We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:
f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
12 x+12y = 156
4x + 6y =62 I need help please
Answer:
{x,y}={8,5}
Step-by-step explanation:
12x + 12y = 156 4x + 6y = 62
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer: \(\frac{3}{2}x+y=-\frac{17}{2}\)
Step-by-step explanation:
The standard form of a linear equation is \(ax+by=c\)
So we need to solve for c
Start by simplifying everything in the equation
\(y+7=-\frac{3}{2} (x+1)\)
Use the Distributive Property
\(y+7=-\frac{3}{2}x-\frac{3}{2}\)
Now subtract 7 from both sides
\(y+7=-\frac{3}{2}x-\frac{3}{2}\\y+7-7=-\frac{3}{2}x-\frac{3}{2}-7\\y=-\frac{3}{2}x-\frac{17}{2}\)
Add \(\frac{3}{2} x\) to both sides
\(y+\frac{3}{2}x=-\frac{3}{2}x+\frac{3}{2}x-\frac{17}{2}\\\frac{3}{2}x+y=-\frac{17}{2}\)
NOTE: \(-\frac{17}{2}\) simplifies to -8.5 if you find that more desirable
Hey can anyone help me understand how to graph this?
Answer:
Step-by-step explanation:
?
a car is moving 70 miles per hour. how far does it travel in 16 seconds
Answer is what in miles
PLEASE HELP ME!!!!
Answer:
0.311 miles
Step-by-step explanation:
Convert 16 seconds to hours :
16 /60×60
= 16÷3600
= .004444hrs
Distance = Speed × time
= 70 × 0.00444444
= 0.311 miles