Answer:
7 1/4 cookies per minute
Step-by-step explanation:
29/4 = 7 1/4
Answer:
7.25
Step-by-step explanation:
29/4
The graph of
y = x3 is transformed as shown in the graph below. Which equation represents the transformed
function?
5
4
3
2
1
3
-1
1
2
5
X
-2
y=x²-4
y =(x-4)
The function f(x) = x³ after translation becomes g(x) = x³ - 4.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the function f(x) = x³ and its transformed graph as shown in the image.
The function f(x) is translated downwards. This is called downward translation. Assume that the function f(x) after the translation becomes g(x). The function f(x) = x³ passes through the origin. After translation, all the {y} - coordinates will be shifted in the downward direction by 4 units. So, we can write the final function as -
g(x) = f(x) - 4
g(x) = x³ - 4
Therefore, the function f(x) = x³ after translation becomes g(x) = x³ - 4.
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A manager hires labour and rents capital equipment in a very competitive market. Currently the wage rate is GH¢2 per hour and capital is rented at GH¢5 per hour, the unit price of the product is GH¢0.25 and total cost is 1000. Suppose the firm's production function is as follows: � = 14�*.,�*., + 10 i. What is the amount of labour and capital the firm should employ in order to maximize output? [Hint: Maximise the product function subject to the cost constraint] ii. What is the maximum profit?
Solution :
It is given that the manager hires a labor and he rents the capital equipment [tex]\text{in a very competitive market}[/tex].
Presently the rate of the wage is at $ 10 per hour and the capital is been rented at $ 0.25. If the [tex]\text{marginal product}[/tex] of the labor is 50 units of the output per hour and the marginal.
Therefore, the answer is
14 + 10 = 24
Elizabeth sells popcorn to the students at the annual school dance. She pays $30.00 to rent the popcorn maker and $0.75 in supplies for each bag of popcorn. If Elizabeth buys supplies for p bags of popcorn, which equation expresses her total cost, c, in dollars?
Answer:
c = $30 + $0.75p
Step-by-step explanation:
total cost = total fixed cost + total variable cost
total fixed cost = $30
Fixed costs are costs that do not vary with output.
total variable cost = variable cost per unit x total unit
p x 0.75
Variable costs are costs that vary with production
(6√2)(-3√5)
whats the answer
Answer:
- 18[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
(6[tex]\sqrt{2}[/tex] )(- 3[tex]\sqrt{5}[/tex] )
= 6 × - 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{5}[/tex]
= - 18 × [tex]\sqrt{10}[/tex]
= - 18[tex]\sqrt{10}[/tex]
The graphs below have the same shape. What is the equation of the blue
graph?
F(X) = x2
5
G(X) = ?
5
G(X) =
Answer:
[tex]g(x) = (x - 2)^2 + 1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex]
Required
Determine g(x)
f(x) represents the parent function. And from the graph, we have:
[tex]f(x) = x^2[/tex]
f(x) is first shifted 2 units right.
The rule is:
[tex]f'(x) = f(x - 2)[/tex]
So, we have:
[tex]f'(x) = (x - 2)^2[/tex]
Next, f'(x) is shifted 1 unit up to give g(x), the blue graph.
The rule to this is:
[tex]g(x) = f'(x) + 1[/tex]
[tex]g(x) = (x - 2)^2 + 1[/tex]
from a ship at sea,the angle of elevation of the top and. bottom a vertical lighthouse standing on the edge of a vertical cliff are 31° abd 26°, respectively. if the light house is 25.0m high,calculate the height of the cliff
[tex]<marquee>Give:/u Name[/tex]
In Sean's class there are 13 boys and 16 girls. Sean will randomly pull one of their names out of a hat to give
a presentation to the class. Which of the following is the probability the student picked will be a girl?
(1) 0.45
(3) 0.62
(2) 0.55
(4) 0.81
Answer:
0.62
Step-by-step explanation:
it is because the number of girls in the class is larger than the number of boys in the class which means the probability is high
The probability of picking a girl is 0.55.
What is probability?'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'
According to the given problem,
Number of boys = 13
Number of girls = 16
Total number of students = 13 + 16
= 29
Probability = [tex]\frac{Favorable events}{Total number of events}[/tex]
= [tex]\frac{16}{29}[/tex]
= 0.55
Hence, we can conclude, the probability of picking a girl is 0.55.
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The graph of an equation with a negative discriminant always has which characteristic?
Answer:
The graph does not intercept the x-axis
Step-by-step explanation:
Hi there!
When the discriminant is positive, it means that in the quadratic equation, you can take the square root of this number and end up with two distinct solutions, one negative and one positive. The graph will intercept the x-axis twice.
When the discriminant is zero, it means that you won't be taking the square root of any number in the quadratic equation and you'll end up with two solutions that are equal, or just one distinct solution. The graph will intercept the x-axis once.
When the discriminant is negative, it means that the quadratic has no real solutions, meaning that it does not intercept the x-axis. It is impossible to take the square root of a negative number.
I hope this helps!
Out of 100 students,80 passed the science 71 the mathematics, 10 failed the both subjects and 7 did not appear the an examination.find the number of student who passed the both subject by representing th e above information in a Veen- diagram
Answer:
ok so first we add 10 plus 7 together since if you don't show up you fail
which is 17
so out of 100 students 17 failed both
now we subtract 71 from 80 to get 9
so we add that together with 17 so
17+9=26 so 26 students failed both
Hope This Helps!!!
Check whether (0, -2) is solution of the equation x - 2y = 4 or not.
Answer: Yes, it is a solution
===================================================
Explanation:
Any ordered pair, aka point, is of the form (x,y)
x is always listed first
The point (0,-2) means x = 0 and y = -2 pair up together
Let's plug them into the equation and simplify everything
x-2y = 4
0-2(-2) = 4
0+4 = 4
4 = 4
We end up with a true statement since we get the same thing on both sides, therefore the original equation is true for (x,y) = (0,-2)
(0,-2) is a solution to the given equation
Phrased another way: the point (0,-2) is on the line x-2y = 4. This point is the y intercept.
Find the equation of a line that is parallel to y = 5x + 1 and passes through the point (3, -4).
Give your answer in the form y = mx + b.
Given:
The equation of a line is:
[tex]y=5x+1[/tex]
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
[tex]y=5x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=5[/tex]
Slope of the given line is 5.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.
The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-4)=5(x-3)[/tex]
[tex]y+4=5(x)+5(-3)[/tex]
[tex]y+4=5x-15[/tex]
Subtracting 4 from both sides, we get
[tex]y+4-4=5x-15-4[/tex]
[tex]y=5x-19[/tex]
Therefore, the equation of the required line is [tex]y=5x-19[/tex].
Solve the equation 5x - 10 = 25
please tell me the working
Answer:
x = 7
Step-by-step explanation:
5x - 10 = 25
shift -10 to the other side then -10 become plus 10
5x = 25 + 10
now do addition in right hand side
5x = 35
shift 5 to right hand side . 5 divides 35 because in multiplication when u shift number or variables to other side it changes to division)
x = 35/5
x = 7
The solution to the equation 5x - 10 = 25 is x = 7.
To solve the equation 5x - 10 = 25, we want to isolate the variable 'x' on one side of the equation.
First, we can start by getting rid of the constant term on the left side of the equation. We do this by adding 10 to both sides:
5x - 10 + 10 = 25 + 10
This simplifies to:
5x = 35
Next, we want to isolate 'x' by dividing both sides of the equation by the coefficient of 'x', which is 5:
5x/5 = 35/5
This yields:
x = 7
Therefore, the solution to the equation 5x - 10 = 25 is x = 7. We can verify this by substituting x = 7 back into the original equation:
5(7) - 10 = 25
35 - 10 = 25
25 = 25
Since the equation holds true, we can conclude that x = 7 is the solution.
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I dont understand this problem. Could someone explain it to me?
Answer:
additive property
Step-by-step explanation:
it is because when you ADD the angles it is EQUAL to the answer
Lorenzo bought several pounds of chocolate-covered peanuts and
gave the cashier a $20 bill. Write an expression for the amount of change he will
receive if p represents the cost of the peanuts
Answer:
20 - p
Step-by-step explanation:
If p represents the cost of the peanuts, it has to be subtracted from 20 to find how much change Lorenzo will receive.
So, set up the expression:
20 - p
The expression to represent how much change he will get is 20 - p
Can someone please help me, someone who's serious lol. PLEASE
(also please label the ones you answered)
Question 11.4.10
Add up everything in the first row
13+31+24 = 68
We have 68 people with high school only education. Out of this group, 24 are conservative
So we have 24/68 = 6/17 represent the probability of selecting a conservatives person given they have high school only education.
Answer: 6/17=======================================================
Question 11.4.15
There are 269+485 = 754 males.
Of this group, 485 are not associates.
Therefore, 485/754 = 0.64 approximately
We focus on the males only because of the phrasing "given that the recipient is male".
Answer: 0.64=======================================================
Question 11.4.16
Refer to the diagram below. Let's say we had 1000 people surveyed. This means we have 1000 in the bottom right corner to represent the grand total.
40% have a pet now currently and also had a pet in the past, so we have 0.40*1000 = 400 people go in the upper left corner of the table. This is the "have a pet now" row and "had a pet in the past" column.
60% do not have a pet now, so 600 people don't have a pet currently. This is the total for row 2. This must mean 1000-600 = 400 people do have a pet currently. This is the total for row 1.
The missing value in row 1 must be 0 because 400+0 = 400. Also, if a person has a pet now, they likely had it in the past as well. To be honest, the wording to set up the time scale for this problem is vague. What does it mean "in the past"? Do the researchers mean in the previous month? Year? It's not clear. Anyway, the first row consists of 400, 0 and 400 in that order.
----------------------
Then we're told that 85% have had a pet in the past. So 0.85*1000 = 850 people had a pet in the past. This goes at the bottom of the "had a pet in the past" column. This leaves 1000-850 = 150 people who didn't have a pet in the past.
Lastly, 15% of the 1000 people surveyed don't have a pet in the present and they didn't have it in the past either. Since 15% of 1000 = 0.15*1000 = 150, we will write 150 in the second entry of row 2. Notice how 0+150 = 150 for the second column. Every row should add up to the entry in the "total" column, and every column should add up to the entry in the "total" row to help check we have the correct table set up. Lastly, notice how 400+600 = 1000 and 850+150 = 1000 to further verify the table.
----------------------
By this point, the table is completely filled out. We're told "given the respondent had a pet". We only focus on the "had a pet in the past" column. 400 people have a pet now out of 850 who had a pet in the past.
Therefore, 400/850 = 0.47 approximately
Answer: 0.47Here is some information about a group of 20 children.
Boys
Girls
Left-handed
3
2
Right-handed
9
6
A child is chosen at random from the group.
a)
What is the probability that the chosen child is a girl?
Give your answer as a fraction.
b)
What is the probability that the chosen child is a left-handed girl?
Give your answer as a fraction.
Answer:
a) 8/20 = 8 is the total of the girls and 20 is the total of the kids
b)2/20 = 2 is the total of girls that are left handed and 20 is the total of the kids
9) The Venn diagram shows the number of elements in sets A, B and C.
B
12 -
13
14
20 -
13
8
a) n(AUBUC) = 74
Find x
b) n(E)=100
(3)
Find y
(1
Answer:
The value of x is 4.
The value of y is 26.
Step-by-step explanation:
Here in qn a)
It has been given that n(AUBUC)=74
So we just add all components of n(AUBUC) and add it in an equation which equals to 74;
13 + 12 - x + x + 20 - x + 15 - x + 8 + 14 = 74
82 - 2x = 74
82 - 74 = 2x
8 = 2x
4 = x
So x is 4.
Now for qn b)
It has already been given that n(AUBUC) = 74 and n(U) = 100
so to find y we simply substract n(AUBUC) from n(U)
y = n(U) - n(AUBUC)
= 100 - 74
=26
Just ask me in the comments if you have any questions.
(2a^6-6a^3)^2 expand and combine like terms
The fully expanded and simplified expression is:
[tex]4a^12 - 24a^9 + 36a^6.[/tex]
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To expand [tex](2a^6 - 6a^3)^2[/tex], we can use the formula:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
with [tex]a = 2a^6[/tex] and [tex]b = -6a^3:[/tex]
[tex](2a^6 - 6a^3)^2 = (2a^6)^2 + 2(2a^6)(-6a^3) + (-6a^3)^2[/tex]
[tex]= 4a^12 - 24a^9 + 36a^6[/tex]
Thus,
The fully expanded and simplified expression is:
[tex]4a^12 - 24a^9 + 36a^6.[/tex]
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Select ALL of the expressions that are 27 equivalent (equal) to: 27/-3
(Select all that apply.)
1.9
2. -27/3
3. -27/-3
4. -3×(27)
5.-9
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {(2).\: \: \frac{ - 27}{3}\:and\: (5).\: - 9 }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{27}{ - 3} [/tex]
2. [tex] \: \frac{ - 27}{3} [/tex] ✔
5. [tex] - 9[/tex] ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Mystique35♨}}}}}∘[/tex]
Rose and her twin brother decided to carry their juice in the lunch bags. Rose choose the tin juice that holds 472ml. Her brother took the bottled juice that contains 1/2 litre. Which of the two had more juice and by how much?
Answer:
Her brother had more juice by 28 mL
Step-by-step explanation:
Convert the 1/2 liter bottle to mL.
In 1 liter, there are 1000 mL. So, in 1/2 liters, there are 500 mL.
Since Rose's tin juice only holds 472 mL, her brother had more juice.
Find how much more he had by finding the difference:
500 - 472
= 28
So, her brother had more juice by 28 mL
Please help me.
1. 7/12 ÷ ¾ = ??
2. ¾ ÷ 1/3 = ??
3. ½ ÷ 3/6 = ???
4. 2/3 ÷ 1/6 = ???
5. 7/12 ÷ 1/12 = ???
Answer:
[tex]1. \: \: \frac{7}{9} [/tex][tex]2. \: \: \frac{9}{4} [/tex][tex]3. \: \: 1[/tex][tex]4. \: \: 4[/tex][tex]5. \: \: 7[/tex]Step-by-step explanation:
[tex]1. \: \: \frac{7}{12} \div \frac{3}{4} [/tex][tex] \frac{7}{12} \times \frac{4}{3} [/tex][tex] \frac{7}{3} \times \frac{1}{3} [/tex][tex] \frac{7}{3 \times 3} [/tex][tex] \frac{7}{9} [/tex][tex]2. \: \: \frac{3}{4} \div \frac{1}{3} [/tex][tex] \frac{3}{4} \times 3[/tex][tex] \frac{3 \times 3}{4} [/tex][tex] \frac{9}{4} [/tex][tex]2 \frac{1}{4} [/tex][tex]3. \: \: \frac{1}{2} \div \frac{3}{6} [/tex][tex] \frac{1}{2} \times \frac{6}{3} [/tex][tex] \frac{3}{3} [/tex][tex]1[/tex][tex]4. \: \: \frac{2}{3} \div \frac{1}{6} [/tex][tex] \frac{2}{3} \times 6[/tex][tex]2 \times 2[/tex][tex]4[/tex][tex]5. \: \: \frac{7}{12} \times \frac{1}{12} [/tex][tex] \frac{7}{12} \times 2[/tex][tex]7[/tex]Hope it is helpful...through: (-4, 3), slope
4
Answer:
the equation is y=4x+19
Step-by-step explanation:
Mark as brainllest if correct
Given the following information, determine which lines are parallel and what justifies them being parallel.
Answers:
Blank 1 = p and r
Blank 2 = corresponding angles converse
==========================================================
Explanation:
Refer to the diagram below. I've marked lines p and r in red, and the angles 3 and 22 in blue. They are corresponding angles because they are both in the same southeast corner of their four-corner configuration.
If the corresponding angles are congruent, then the lines p and r are parallel by the aptly named corresponding angles converse
If the equation of a line is 2y+3x=3, what is the x intercept of the line? HELP MEEE PLEASE
Answer:
the anwers is b= 3/2 And yeah that's you're anwers
Answer:
(1,0)
Step-by-step explanation:
Hi there!
We're given the equation of the line as 2y+3x=3, and we want to find the x intercept of the line.
The x intercept is the coordinate point at which the line passes through the x axis. Therefore, the value of y at the x intercept will be 0.
So we can substitute 0 as y in 2y+3x=3; we'll only have x left if we do this to solve for the x intercept.
2(0)+3x=3
multiply
3x=3
divide both sides by 3
x=1
so the x intercept is 1; as a point it's (1,0)
Hope this helps! :D
What is the average rate of change of the function f(x)=2x^2+x+5 over the interval -2<x<2?
A. -4
B. -1
C. 1
D. 4
Answer:
C
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 2, 2 ] , then
f(b) = f(2) = 2(2)² + 2 + 5 = 8 + 2 + 5 = 15
f(a) = f(- 2) = 2(- 2)² + (- 2) + 5 = 8 - 2 + 5 = 11 , then
average rate of change = [tex]\frac{15-11}{2-(-2)}[/tex] = [tex]\frac{4}{4}[/tex] = 1 → C
Please help!
Danielle is trying to solve the equation 8^x= 1/64. Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.
Answer:
x = -2
Step-by-step explanation:
Given equation:
8^x= 1/64
Ensure both sides of the equation are in power format by changing 1/64
1/64 = 64^-1
8^x = 64^-1
2^3(x) = 2^6(-1)
The bases will cancel out each other
3(x) = 6(-1)
3x = -6
x = -6/3
x = -2
Check
8^x = 1/64
x = -2
8^-2
= 1/8²
= 1/8*8
= 1/64
If the profit is the difference between the revenue and the cost, what expression represents the profit? 3x – 260 3x + 140 5x – 260 5x + 140
Answer:
[tex]P =5x-260[/tex]
Step-by-step explanation:
Given
[tex]R = 3x^2 + 4x - 60[/tex] --- Revenue
[tex]C = 3x^2 - x + 200[/tex] --- Cost
Required
The expression for profit (P)
This is calculated as:
[tex]P =R - C[/tex]
So, we have:
[tex]P =3x^2 + 4x - 60 - (3x^2 -x+200)[/tex]
Open bracket
[tex]P =3x^2 + 4x - 60 - 3x^2 +x-200[/tex]
Collect like terms
[tex]P =3x^2 - 3x^2+ 4x +x- 60-200[/tex]
[tex]P =5x-260[/tex]
If the profit is the difference between the revenue and the cost, 5x – 260 expression represents the profit. Correct option is 3.
The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:
Profit (P) = Revenue - Cost
Among the given options:
1. 3x - 260
2. 3x + 140
3. 5x - 260
4. 5x + 140
We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.
Option 3, 5x - 260, fits this pattern:
- Revenue: 5x
- Cost: 260
When we subtract the cost from the revenue:
Profit (P) = Revenue - Cost = 5x - 260
So, option 3, 5x - 260, is the expression that represents the profit.
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Complete question is:
If the profit is the difference between the revenue and the cost, what expression represents the profit?
1. 3x – 260
2. 3x + 140
3. 5x – 260
4. 5x + 140
1.5 m
7.1 m
7.1 m
V=
Answer:
75.615 m^3
Step-by-step explanation:
volume is length x width x height
7.1*7.1*1.5
75.615 m^3
Answer:
POINTS
Step-by-step explanation:
11 4/5 divided by 3 1/5
A. 3
B. 3 1/2
C. 7/2
D. 4
( Answer within 5-10 minutes to get brainliest! )
Thank you in advance!
I appreciate it all!
Answer:
3.5
Step-by-step explanation:
It's technically 3.69 but 3.5 is the closest answer you can get
Grahsm and Ahir share £30 in the ratio 3 : 1. Work out how much money Graham gets?
Answer:
Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Step-by-step explanation:
Add 3 and 1: 3 + 1 = 4.
Then Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it: £7.5.
Check: is the ratio
£22.5
---------- equal to 3:1? YES
£7.5
Do £7.5 and £22.5 sum up to £30? YYES
---------- =
-----