The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let t represent the time after Tom joined.
number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10
number of potatoes peeled by Tom = 4t
Since they are 64 potatoes, hence:
2t + 10 + 4t = 64
t = 9 minutes
number of potatoes peeled by Tom = 4(9) = 36 potatoes
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
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Find the derivative of 76x + 1 at x = 1.
Answer:
76
Step-by-step explanation:
We know the rule when finding the derivative :
dy/dx = nxⁿ⁻¹Deriving
dy/dx = 76x + 1dy/dx = 1 * 76 * (x)¹⁻¹ + 0 * 1¹⁻¹dy/dx = 76The x = 1 becomes irrelevant because there is no 'x' present in the derivative[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{d}{dx}(76x + 1) [/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{1 - 1} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{0} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76[/tex]
Here, we have got a constant number, therefore for any value of x it will be 76
Therefore, derivative of 76x + 1 at x = 1 is 76
(100 POINTS) Question 2: 6 pts
Find the zeros of the quadratic function f(x) = 2x2 + 4x - 6 from the graph.
Answer:
1 and -3
Step-by-step explanation:
The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).
From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :
[tex]\qquad \sf \dashrightarrow \:1 \: \: and \: \: - 3[/tex]
Therefore, the correct choice is D
Find the total surface area of the cube.
2.2 cm
Answer:
The formula for surface area of a rectangular prism or cube is:
SA = 2 (LW+LH+WH)
So, we do, 2 (2×2+2×2+2×2)
So, the answer is 2×12 or 24 cm²
One number is two times greater than another number. if the greater number is x what is the other number?
Answer:
[tex]\frac{1}{2}x[/tex]
Step-by-step explanation:
If the greater number is x and it is two times greater than the other number then the other number is half as big. This is true because 2*[tex]\frac{1}{2}[/tex]x = x
The other number is equal to x/2.
What is a Fraction?A fraction in mathematics represents a portion or element of the whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator.
As per the given data:
We are given the relationship between 2 numbers, It's given that One number is two times greater than another number.
The greater number = x
Let's assume that the smaller number is y.
From the given data in the question:
One number is two times greater than another number
= x = 2y ...(i)
The other number that is the smaller number is given by:
By dividing eq (i) by 2 from both sides.
y = x/2
The other number is equal to x/2
Hence, The other number is equal to x/2
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please help me please
Answer:
Heres the answer Hope this helps!:)
The numbers below are the golf score for the UGA golf team. 68, 70, 72, 73, 74, 75. What is the mean AND the mean absolute deviation (MAD) of the data?
A.MEAN:73; MAD:2
B.MEAN:72; MAD:2
C.MEAN73; MAD:6
D.MEAN; MAD:6
The mean and mean absolute deviation of the given data are;
B. Mean: 72; mean absolute deviation: 2.
What is The Mean Absolute Deviation?The mean absolute deviation of a data set is the average distance of each data point in the data set from the mean of the data set.
Given the data, 68, 70, 72, 73, 74, 75:
Mean = (68 + 70 + 72 + 73 + 74 + 75)/6 = 432/6
Mean = 72
Mean absolute deviation = [(68 - 72) + ( 70 - 72) + ( 72 - 72) + ( 73 - 72) + ( 74 - 72) + ( 75 - 72)] / 6
Mean absolute deviation = [(4) + (2) + (0) + (1) + (2) + (3)] / 6
Mean absolute deviation = 12/6
Mean absolute deviation = 2
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What's the answer?? I really need help
Answer:
100in^3
Step-by-step explanation:
1. Split the shape into 2 separate rectangles.
2. Use the volume of a rectangle formula for each and add together (look at picture above).
I hop this helps! Have a blessed rest of the night!
Jasmyn and Samantha go to the mall to go shopping. Jasmyn buys a new t-shirt that is $24.99 and Samantha buys a new pair of pants that are $48.99. If sales tax is 6%, how much will they have to pay total for the t-shirt and pants including tax?
The total cost of both items is $ ____
Answer:
78.42
Step-by-step explanation:
[tex]1.06(24.99 + 48.99)[/tex]
[tex]1.06 \times 73.98 = 78.42[/tex]
help ASAP!!! answer e f g h question
Step-by-step explanation:
answer......
...........
Can someone please help me with this if you can thank you!
Answer:
38.69
Step-by-step explanation:
=$38.69411765
=$38.69 (to the nearest cent)
(100/85) \$32.
Find the area of each triangle 10in. 9in.
Answer: 45
Step-by-step explanation: Area of a triangle is l x h all divided by 2.
Plug numbers in. 9 x 10=90. 90/2 = 45.
There are values of t so that sin t= 5/4
Answer:
False
Explanation:
sin t can never be greater than 1 or less than -1
help please.. write the equation of the blue line using slope-intercept form (y=mx+b)
y = mx + p
p = - 7 since the line cuts the y-axis in -7
and m the slope ?
we choose 2 points (-2 ; 0) and (0 ; - 7)
we move of 2 units towards the left to go down of 7 units
=> m = - 7/2
y = - 7/2x - 7
or
y = -3,5x - 7
PLEASE HELP ASAP!!!
i dont know this
Answer:
Put 4.96 in the second box then solve which the answer is 6.76
Step-by-step explanation:
Which probability is equal to 25%?
А
5/100
B
1/4
с
25/1
D
4/5
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Fraction is converted to percentage:
[tex](\frac{1}{4} )(100)=\frac{100}{4} =25%[/tex] %
Hope this helps
whats the value of x+26
Answer:x = 154°
Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
x = 154°
Answer: 154 degrees
Step-by-step explanation: subtract 180 from 26 To get it .
Solve this question. Explain or show your reasoning. 1/2x-7=1/3(x-12)
Find the 11th term of the following geometric sequence 2,6,18,54,…
Answer:
118,098
Step-by-step explanation:
Notice that each term is multiplied by 3, 2 x 3 is 6, 6 x 3 is 18... and so on.
so 54*3 = 162 and keep multiplying your answer by three until you have 11 times
the 6th term is 22 and the common difference is 6
Answer:
I have no idea what are you talking about......
Question 2
For three months after the training program, the sales director collected the sales data for the 200 sales representatives from
the Midwest and Northeast regions. The director then broke down the number of sales orders for the representatives
according to whether they received training or not. This data is shown in the table.
Three Months' Sales Orders
Training
No Training
Midwest
234
196
Northeast
252
178
Question
Use the data shown in the table to complete each statement.
Select the correct answer from each drop-down menu.
For the Midwest region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training,
For the Northeast region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training
The data from the sales director's study indicates that the one-month training program
sales
Answer:
see below for the whole unit activity
Step-by-step explanation:
PLEASEE HELPP!!!
What is the mistake in setting up the quadratic formula?
Answer:
First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.
That 6 should be -6
Let me solve it for you
[tex]\\ \rm\rightarrowtail 2x-x-6=0[/tex]
So
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(2)(-6)}}{2(2)}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm \sqrt{1+48}}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm 7}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{8}{4}\:or\:\dfrac{-6}{4}[/tex]
[tex]\\ \rm\rightarrowtail x=2\:or\:\dfrac{-3}{2}[/tex]
the lent of an alligator last year was 32 inches and 38 inches this year what is the percent change of the alligator length?
Answer:
18.75
Step-by-step explanation:
Answer number 8 please. Thank you.
Answer:
The answer is C. A triangle is made up of a total angle of 180°, therefore C. is more than 180°
A roof rises 24 feet vertically and 14 feet horizontally. What is the slope of the roof?
Answer:
1.714 feet
Step-by-step explanation:
slope is rise over run.
rise would be the vertical measurement and run would be the horizontal measurement.
24/14 = 12/7
12/7 = 1.714
Calculate the average daily balance, finance charge, and new balance using the average daily balance method. Round all dollar amounts to the nearest cent. If applicable, include a thousands comma. Monthly rate: 1.75% Date Payments Purchases Balance Number of Days Product 9/1-9/5 $387.525 1,937.60 976 $50.00 $337.521 337.52 977 - 9/18 A В С 9/19 $62.66 $400.181 400.18 9/20-9/30 D E F Total 30 G A= $ BE C= $ D=$ E= F=$ G=$ Average daily balance : 30 = $ Finance charge = monthly rate x average daily balance = $ New balance = previous balance payment/credits + finance charge + new purchases = $
Answer:
Step-by-step explanation:
Credit should go to the previous helper here:
https://brainly.com/question/21285117
I have not cross-checked but the previous answers were:
"
For average daily balance:
Form date 9/1 to date 9/5 :
Balance x number of the days = $ 387.52 x 5 days = $ 1937.6
As on date 9/6 :
($ 387.52 - $ 50.00) x 1 day = $ 337.52
From date 9/7 to date 9/18 :
Balance = $ 337.50
Number of days = 12 days
Therefore, product = 12 days x $ 337.52
= $ 4050.24
As on 9/19 :
($ 337.52 + $ 62.66) x 1 day = $ 400.18
From date 9/20 to date 9/30
Balance :$ 400.18
Number of days = 11 days
Therefore, product = 11 days x $ 400.18
= $ 4401.98
Average daily balance
= ($ 1937.6 + $ 337.50 + $ 4050.24 + $ 400.18 + $ 4401.98) / 30
= $ 370.91
Finance charge = $ 370.91 x 1.75 %
= $ 6.49
New balance = $ 370.91 + $ 6.49
= $ 377.4
"
Hyperbolas are confusingggg
A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the equation of the halfpipe?
(0, 60); y equals one over two hundred forty times x squared minus 60
(0, 60); y equals one over two hundred forty times x squared plus 60
(0, 15); y equals one over sixty times x square minus 15
(0, 15); y equals one over sixty times x squared plus 15
Answer:
I think the answer is A but im not sure
The perimeter of a rectangular field is 322 m.
If the width of the field is 67 m, what is its length?
Answer:
75
Step-by-step explanation:
322 = 2(86) + 2w
322 = 172 + 2w
322-172 = 172 +2w -172
150 = 2w
150/2 = 2w/2
w=75
The diameter of a circle is 1213 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
r = _ / in.
Answer:
the answer 6 1/6
Step-by-step explanation:
proof here
Answer: 6/1 6
Step-by-step explanation: i took the quiz
Verizon phone company charges $48 for unlimited texting per month or $0.16 per text message sent or received. For what amount of text messages would the unlimited plan cost the same as per-text plan?
Answer:
300 text messages sent or received
Step-by-step explanation:
.16 x 300 = 48 which is the same amount as the unlimited texting
Answer:
300
Step-by-step explanation:
this is the answer to this question
The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 8 cosine (startfraction pi over 10 endfraction t). what is the period of the function? startfraction pi over 20 endfraction seconds startfraction pi over 10 endfraction seconds 8 seconds 20 seconds
Answer:
20 seconds
Step-by-step explanation:
I assume you mean [tex]h(t)=8\cos(\frac{\pi}{10}t)[/tex] for your function.
As the given function is in the form of [tex]f(t)=a\cos(bt+c)+d[/tex] (some textbooks may write this formula differently), the period is equal to [tex]\frac{2\pi}{|b|}[/tex]. Hence, the period of the given function is [tex]\frac{2\pi}{|\frac{\pi}{10}|}=\frac{2\pi}{1}*\frac{10}{\pi}=\frac{20\pi}{\pi}=20[/tex], or 20 seconds.
The period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.
What are some properties of a cosine function?Suppose that we've got: [tex]f(x) = a\cos\left(\dfrac{2\pi x}{b}\right)[/tex]
Then, this function has:
Amplitude (the maximum distance of the graph from the middle line) = aPeriod = bFor this case, we're given that:
[tex]h = 8\cos\left(\dfrac{\pi x}{10}\right)[/tex]
We can rewrite it as:
[tex]h = 8\cos\left(\dfrac{2\pi x}{20}\right)[/tex]
Thus, we get a = amplitude = 8 units(distance), and b = period = 20 units(time in seconds).
Thus, the period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.
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