Answer:
Assuming you want to know the volume,
volume = 2210.6 in³
Step-by-step explanation:
radius = diameter/2 = 8/2 = 4 in
area of base = πr² = (3.14)(4²) = 50.24 in²
volume of tube portion = base area x height = 50.24 x 40 = 2009.6 in³
cone volume = 1/3bh = 1/3(50.24)(12) = 200.96 in³
total volume = 2009.6 + 200.96 = 2210.56 in³
Add or Subtract: show all work 30 POINTS!!
Find the Highest Common Factor (HCF) the following sets of numbers:
6 and 12
10 and 20
8 and 24
24 and 30
8 and 18
9 and 21
18 and 24
20 and 28
15 and 20
12 and 20
4.) A customer at a concession stand bought 2 boxes of popcorn & 3
drinks for $12. Another customer bought 3 boxes of popcorn & 5
drinks for $19. How much does a box of popcorn cost? How much does
a drink cost? Write and solve a system of equations
Equation 1 :
Equation 2:
Popcorn
Drink:
Answer:
10$ each
Step-by-step explanation:
"Julien is trying to determine his variable type in order to select the proper statistical tests. He is measuring the height of a part. What type of variable is this"
Answer:
Quantitative
Step-by-step explanation: Quantitative or numerical variable are statistical or measured variables which involves numbers. Numerical variables allows for mathematical operations such as addition, subtraction and so on to be performed in them. Quantitative variables include height, age, weight, population and other measured variable with have numerical attributes. They can be measured on either ordinal, ratio or interval scales. Hence, since Julien is trying to determine height, the variable is a quantitative or numeric variable.
Find equation of the line shown
The equation of the line is y = x + 6
How to detemrine the equatiin of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following highlights
The graph intersect the y-axis at y = 6
This means that the intercept c is 6
Also, as x changes by 1, the y values changes by 1
This mean sthat the slope is 1
So, we have
y = mx + c
This gives
y = x + 6
Hence, the equation is y = x + 6
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The linear equation on the graph can be written as:
y = (3/2)*x + 6
How to find the equation in the graph?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁), then the slope will be:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we can see the points (0, 6) (so the y-intercept is b = 6) and (4, 10)
Then the slope will be:
a = (10 - 6)/(4 - 0) = 6/4 = 3/2
Then the linaer equation is:
y = (3/2)*x + 6
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Can someone please help me out? Thanks I would appreciate it! :) I’ll give brainly
Answer:
Brand Z
Step-by-step explanation:
Set up all of them up as a fraction x/y where x is the fluid ounces and y is the cost.
Next, find the values of all the fractions and note them down.
Brand Z had the highest cost per fluid ounce of 2, and therefore is the correct answer.
Answer:
Brand w.
Step-by-step explanation:
First thing you want to do is divide your fluid ounces by your given cost. Which ever is greatest is your answer.
Brand w: 20/12.00 = 1.66
Brand x: 15/11.25 = 1.33
Brand y: 10/6.50 = 1.53
Brand z: 5/2.50 = 2.00
Brand w has the greastest price per fluid ounce compared to the rest of the brands.
7 students are running for student council. how many different ways can their names be listed on the ballot
Step-by-step explanation:
7! = 5040 ways
Bashir has a loyalty card good for a 10% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $11? Round to the nearest cent.
The total cost of all the items he wants to buy with the applied discount and before tax is $9.9.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Bashir has a loyalty card good for a 10% discount at his local hardware store.
So, Each good he buys at (100 - 10)% = 90% of the value before tax.
He wants to buy some items that cost $11 before the discount and tax.
Therefore the amount he has to pay is,
= (90/100)×11.
= $9.9
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Consider this function.
f(x) = |x – 4| + 6
If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?
If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.
The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.
If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.
The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).
The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.
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Logistics Solutions provides order fulfillment services for dot.com merchants. The company maintains warehouses that stock items carried by its dot.com clients. When a client receives an order from a customer, the order is forwarded to Logistics Solutions, which pulls the item from storage, packs it, and ships it to the customer. The company uses a predetermined variable overhead rate based on direct labor-hours. In the most recent month, 120,000 items were shipped to customers using 2,300 direct labor-hours. The company incurred a total of $7,360 in variable overhead costs. According to the company’s standards, 0.02 direct labor-hours are required to fulfill an order for one item and the variable overhead rate is $3.25 per direct labor-hour. Required: 1. What is the standard labor-hours allowed (SH) to ship 120,000 items to customers? 2. What is the standard variable overhead cost allowed (SH × SR) to ship 120,000 items to customers? 3. What is the variable overhead spending variance? 4. What is the variable overhead rate variance and the variable overhead efficiency variance?
1) The standard labor hours allowed to ship 120,000 items is 2,400.
2) The standard variable overhead cost allowed to ship 120,000 items is $7,800.
3) The variable overhead spending variance is -$440.
4) The variable overhead efficiency variance is -$325.
What is the Cost?Cost can refer to a variety of measures used to quantify the expense or effort required to solve a problem or perform a task.
According to the given information1) The standard labor hours allowed (SH) to ship 120,000 items can be calculated as follows:
Standard labor hours allowed = Number of items × Direct labor hours per item
Standard labor-hours allowed = 120,000 × 0.02
Standard labor-hours allowed = 2,400
Therefore, the standard labor hours allowed to ship 120,000 items is 2,400.
2) The standard variable overhead cost allowed (SH × SR) to ship 120,000 items can be calculated as follows:
Standard variable overhead cost allowed = Standard labor-hours allowed × Variable overhead rate per labor-hour
Standard variable overhead cost allowed = 2,400 × $3.25
Standard variable overhead cost allowed = $7,800
Therefore, the standard variable overhead cost allowed to ship 120,000 items is $7,800.
3) The variable overhead spending variance can be calculated as follows:
Variable overhead spending variance = Actual variable overhead cost incurred − Standard variable overhead cost allowed
Variable overhead spending variance = $7,360 − $7,800
Variable overhead spending variance = -$440
Therefore, the variable overhead spending variance is -$440, indicating that the actual variable overhead cost incurred was lower than the standard variable overhead cost allowed.
4) The variable overhead rate variance and the variable overhead efficiency variance can be calculated using the following formulas:
Variable overhead rate variance = (Actual variable overhead rate − Standard variable overhead rate) × Actual labor hours incurred
Variable overhead efficiency variance = (Actual labor-hours incurred − Standard labor-hours allowed) × Standard variable overhead rate
First, we need to calculate the actual variable overhead rate:
Actual variable overhead rate = Actual variable overhead cost incurred ÷ Actual labor hours incurred
Actual variable overhead rate = $7,360 ÷ 2,300
Actual variable overhead rate = $3.21 per labor-hour
Using this information, we can calculate the variable overhead rate variance:
Variable overhead rate variance = ($3.21 − $3.25) × 2,300
Variable overhead rate variance = -$92
Therefore, the variable overhead rate variance is -$92, indicating that the actual variable overhead rate was lower than the standard variable overhead rate.
Next, we can calculate the variable overhead efficiency variance:
Variable overhead efficiency variance = (2,300 − 2,400) × $3.25
Variable overhead efficiency variance = -$325
Therefore, the variable overhead efficiency variance is -$325, indicating that the actual labor hours incurred were more than the standard labor hours allowed.
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i don’t quite get the concept yet and i really don’t wanna bother the teacher again :/ please help
Answer:
they are asking which claims are true vs false
Step-by-step explanation:
I totally get not wanting to bother our teachers again,... (that is why we're here)
m (AB = 20
m<ABD = 140
m (AD = 60
I think they want to know which ones (based on the "graph") are true,...
Please help me!! i have no clue how to do this unit :(
Answer:
the area is 27
Step-by-step explanation:
Answer:
the base of this shape is 6
lets break it up into a rectangle and a triangle
the rectangle is 6(base) time 3(height)=18
the triangle is 6(base) times 3(height) divided by two = 9
18 plus 9 = 27
What is the general formula for an parallelogram
Answer:
A = bh
Step-by-step explanation:
Area = base × height
Area = base · height
A = bh
Find the equation of a straight line cutting off the y-intercept 4 from the axis of y and inclined to 60° with the positive direction of X-axis.
The linear function is given as follows:
\(y = \sqrt{x} + 4\)
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The y-intercept is of 4, hence the parameter b is given as follows:
b = 4.
The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:
m = tan(60º)
\(m = \sqrt{3}\)
Thus the function is given as follows:
\(y = \sqrt{x} + 4\)
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what should be added to -1 to get 5/7
Pls answer thiss
Answer:
The answer is 12/7.
Step-by-step explanation:
To get the answer, simply subtract -1 to 5/7
\(\frac{5}{7} - (-1)\\\)
Find the least common denominator.
\(\frac{5}{7} - (-1) = \frac{5}{7} - \frac{(-7)}{7}\)
= 12/7
To check, add -1 to 12/7.
\(\frac{12}{7} + (-1)\)
Find the least common denominator.
\(\frac{12}{7} + (-1) = \frac{12}{7} + \frac{(-7)}{7}\)
= 5/7
8) 3(2x+1) = ?*
O 6x + 3
5x + 1
5x + 3
6x + 1
Answer:
6x + 3
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3(2x + 1)
Step 2: Expand
Distribute 3: 3(2x) + 3(1)Multiply: 6x + 3Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
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In class of 40 students, 19 play tennis, 20 play netball and 8 play both. A student is randomly chosen from the class. Determine the probability that the student plays one and only one of those sports ?
Answer:
4/5 or 0.8 or 80%
Step-by-step explanation:
The probability of choosing a student who play only one sport is 0.8
We have a class of 40 students, 19 play tennis, 20 play netball and 8 play both. A student is randomly chosen from the class.
We have to find the probability that the student plays one and only one of those sports.
What is the formula of calculating the probability of any Event 'A' ?The formula to calculate the probability of the event 'A' is -
P(A) = \(\frac{Total\;no.\;of\;favorable\;outcomes}{Total\;no.\;of\;outcomes} = \frac{n(A)}{n(S)}\)
Let 'A' be the event representing the probability of choosing a student who play both sports.
According to question -
n ( S ) = 40 students
n ( A ) = 8
P ( A ) = \(\frac{n (A)}{n (S)}\)
We know that -
P ( A ) + P ( A' ) = 1
P ( A' ) = 1 - P ( A )
where P ( A' ) represents the probability of choosing a student who does not play both sports.
P ( A' ) = 1 - \(\frac{n (A)}{n (S)}\) = 1 - \(\frac{8}{40}\) = 1 - 0.2 = 0.8
Hence, the probability of choosing a student who play only one sport is 0.8
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The theater sells two types of tickets: adult tickets for $6 and child tickets for $4.
Last night, the theater sold a total of 364 tickets for a total of $1930. How many adult tickets did the theater sell last night?
Answer:
237
Step-by-step explanation:
This is a system of equations.
The theater sold 364 adult and child tickets, so a + c = 364
They made a total of $1930. Each adult ticket was $6 & child tickets were $4. The second equation is 6a + 4c = 1930.
Let's line them up
a + c = 364
6a + 4c = 1930
Since we need to solve for the number of adult tickets, we want to get rid of the c variable. I'm going to multiply the entire first equation by -4 to do this. The second equation stays the same. Now, I have:
-4a - 4c = -1456
6a + 4c = 1930 Add them together
----------------------
2a = 474 Divide by 2 to solve for a
a = 237
There were 237 adult tickets sold
PLEASE ANSWER THIS ILL GIVE BRAINLIEST
Answer:
sorry
Step-by-step explanation:
Divide 1235 by 25.Write the remainder as fraction.
PLSSSSSS HELPPPPPPPPP
Answer:
y = 2x
Step-by-step explanation:
the answer is rise over run, the rise is 4 the run is 2 4/2 is 2. Slope is 2. Y intercept is zero. y = 2x
726 ÷3 use place value disks
Answer:
242
Step-by-step explanation:726 divid by 3 is 242
simplify pls do fast
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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The ordered pair (2, 10) is a point on a direct variation equation. Write the direct variation equation.
Answer:
Y=KX so its 10=K2
Step-by-step explanation:
Plug in the Number OR K=y/x
f(x)=6x+5 and g(x)=2x-4
Step-by-step explanation:
1.)you find
f(g(x))
2)set up the composition function and evaluate
f(2x+4) = -12x - 19
What are the solutions of 3x^2- x +7=0?
O A. x =
о
B. x =
O C. x =
2-9i
2+9i or x = 2-⁹⁰
6
6
1+iv83 or x =
6
-i√/83
6
1+9i
1-9i
¹+9 or x = 1-⁹
O D. x = 2+√83 or x = 2-i√/83
6
6
Answer:
x = (1 +i√83)/6 or x = (1 -i√83)/6
Step-by-step explanation:
You want the solutions to the quadratic equation 3x² -x +7 = 0.
Quadratic formulaThe solutions to the equation ax² +bx +c = 0 are given by the formula ...
\(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)
The given equation has a=3, b=-1, c=7, so the solutions are ...
\(x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(3)(7)}}{2(3)}=\dfrac{1\pm\sqrt{-83}}{6}\\\\\\\boxed{x=\dfrac{1+i\sqrt{83}}{6}\quad\text{or}\quad x=\dfrac{1-i\sqrt{83}}{6}}\)
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Help you get la fouge candy.
Answer:
2520 gallons
Step-by-step explanation:
According to the hint, one gallon is four quarts.
10,080/4 = 2520
10,080 quarts should be 2520 gallons.
Hope this helps.
What is the 15% of 20
Answer:
Step-by-step explanation:
15% of 20 is 3