If the work required to stretch a spring 3 ft beyond its natural length is 6 ft-lb, how much work is needed to stretch it 9 in. beyond its natural length?
Answer:
3/8
Step-by-step explanation:
Given that:
Work required to stretch a string:
3 ft = 6ft - lb
The work required to stretch it 9 inches
Given that :
Work(W) = kx
Take the integral of W at 3 fts beyond its natural length;
W = ∫kx dx at 0 to 3
W = k ∫xdx at 0 to 3
W = 6
W = k[x²/2] at x =0 to x = 3
6 = k[3² /2] - 0
6 = k[9/2]
12 = 9k
k = 12/9 = 4/3 = 1.333
Converting inches to feet:
1 inch 0.0833 ft
9 inches = 0.75 ft
W = ∫kx dx at 0.75 to 0
W = 4/3 ∫xdx at 0 to 0.75 = 3/4
W = 4/3[x²/2] at x =0.75 to 0
W = 4/3[(3/4)²/2] at 0.75 to 0
W = 4/3[(9/16) / 2]
W = 4/3 * (9/16 * 1/2)
W = 36/96
W = 6/16 = 3/8 ft - lbs
Someone please hurry and answer number 4!!!! Will give brainliest
Answer:
25×2.50=62.5
62.5+12=74.5
hope that helps
Answer:
$74.50
Step-by-step explanation:
M = 2.50(f) + 12
M = 2.50(25) + 12
M = 74.5
50 divided by 0 divided by 100
brainliest if answerd first
Answer:
0.1 i thougt was 100
Step-by-step explanation:
Answer: 0
Step-by-step explanation: If you divide 50 by 0 you get 0. If you divided 0 by 100, it would be 0. Have a nice day!
what does it mean to subtract 4 on both sides of 76 equals 7 and 2x
Explain how each location given in the table is related to the origin.
Refer to the attachment
Find the resistance in a 1238 watt circuit with 120 volt electricity passing through it.
The resistance in the circuit is 11.63 ohms
What is resistance?Resistance is the opposite of the flow of current. It can also be defined as the ratio of square of voltage to the power of a circuit. It is measured in ohms.
The factors that affects the resistance of a conductor are;
1. temperature
2. length of the wire
3. Area of the wire
4. Nature of the wire
power = V²/R
R = V²/P
P = 1238 W
v = 120
R = 120²/1238
R = 14400/1238
R = 11.63 ohms
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in a circle of 4 meters, what is the measure of the central angle (in degrees) subtended by an arc of length 5 meters
The measure of the central angle in degrees subtended by an arc of length 5 meter is 71.61 degrees
The radius of the circle = 4 meters
The circumference of the circle = 2πr
Where r is the radius of the circle
The value of π = 3.14
The circumference of the circle = 2π × 4
= 8π
The arc length = 5 meters
Consider the x as the central angle
The proportion of central angle and circumference will be
5/8π = x radiance / 2π
Cross multiply the terms
x × 8π = 5 × 2π
x = 10π / 8π
x = 5/4 radiance
Convert radiance to degrees
We know
1 radiance = 180/π degrees
5/4 radiance = 5/4 × 180/π degrees
= 71.61 degrees
Therefore, the central angle is 71.61 degrees
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how to write four hundred ten thousandth in decimal form.
maybe
0.000014??
(Probably wrong but that's my guess)
The value, Four hundred ten thousandth, which is the fraction 410/1000 in decimal form is; 0.41
How to convert between fractions to decimals?The conversion of fractions to decimal can be performed by using division, by dividing the numerator (the top number) by the denominator (the bottom number).
The number "our hundred and ten thousandth" can be presented in decimal form by expressing it as a fraction, and then convert to decimal.
"Four hundred ten thousandth" means "four hundred ten divided by one thousand", which can be written as the fraction 410/1000
The fraction can be converted to a decimal by dividing the numerator (410) by the denominator (1,000), and we get; 410/1,000 = 0.41 as the decimal representation of "four hundred ten thousandth".
Therefore, four hundred ten thousandth in decimal form is 0.41
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What is 3-3×6+2 please?
Answer:
-13Step-by-step explanation:
What is 3-3×6+2 please?
remember PEMDAS
3 - 3 × 6 + 2 = (solve multiplication)
3 - 18 + 2 = (solve addition)
3 - 16 = (solve subtraction)
-13 (result)
The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer in simplest form.
Please help!!!!!!!!!!!!!!!!!!!
What's 10+10-5+10+5
Answer:
the answer is 30
Step-by-step explanation:
10+10=20-5=15+10=25+5=30
Answer:
30!
Step-by-step explanation:
Write an expression using the distributed property to dind the product of 7x63
The product of the expression 7 x 63 is 441.
We have,
To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:
7 x 63 = 7 x (60 + 3)
Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:
7 x (60 + 3) = 7 x 60 + 7 x 3
Simplifying further:
7 x 60 + 7 x 3 = 420 + 21
Therefore,
The product of 7 x 63 is 441.
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The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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What is 7*1893/2? Help please
Multiply first then divide:
7*1893 = 13251
13251/2 = 6625.5
Answer: 6625.5
A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (4, negative 1).
Which linear function is represented by the graph?
A linear function that is represented by the graph include the following: B. y = -1/2(x) + 1.
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.At data point (0, 1), a linear function in standard form for this line can be calculated by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 1 = (-1 - 1)/(4 - 0)(x - 0)
y - 1 = -2/4(x - 0)
y = -1/2(x) + 1
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Mark is flying a kite and realizes that 300 feet of string is out. Mark anchored the kite to the ground. The angle of the string with the ground is 42.5 degrees. How high is Mark's kite above the ground? Find your answer to the nearest tenth.
Answer:I don’t understand
Step-by-step explanation:
What will be the return value of =SUM({10;15;20;25;30})?
Answer:
The return value is 100
Step-by-step explanation:
Given
\(=SUM({10;15;20;25;30})\)
Required
Determine the return value
In Microsoft Office Excel, the sum of values is represented as:
\(=SUM({a_1;a_2;a_3;.....;a_n})\)
This is interpreted as:
\(SUM= a_1;a_2+a_3+.....+a_n\)
So, in the case of:
\(=SUM({10;15;20;25;30})\)
The return value is:
\(Value= 10 + 15+ 20 + 25 + 30\)
\(Value= 100\)
Hence, the return value is 100
Question 10 of 10
How does the graph of f (x) 3x +2 +4 relate to its parent function?
A. The parent function has been compressed.
B. The parent function has been translated up.
C. The parent function has been stretched.
D. The parent function has been translated to the left.
SUBMIT
The graph of f(x) relate to its parent function by B. The parent function has been translated up.
How does the graph of f(x) relate to its parent function?Given that
f(x) = 3x +2 +4
When evaluated, we have
f(x) = 3x + 6
The parent function of the above is
f(x) = 3x
When f(x) = 3x is compared to f(x) = 3x + 6, we have
Difference = 6
This means that the parant function is translated up by 6 units
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Which expression is equal to 2xx−2−x+3x+5?
Answer:
It's the fourth one
Following are the solution to the given expression:
Given:
\(\bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\)
To find:
Expression =?
Solution:
\(\to \bold{\frac{2x}{x-2}- \frac{x+3}{x+5}}\\\\\to \bold{\frac{2x(x+5) -(x+3) (x-2)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 -2x+ 3x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -(x^2 +x-6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{2x^2+10x -x^2 -x+6)}{(x-2)(x+5)}}\\\\\to \bold{\frac{x^2+9x+6}{(x-2)(x+5)}}\\\\\)
Therefore, the answer is "last choice".
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what is the value of x that makes l1||l2
Answer: 10
Step-by-step explanation:
By the alternate interior angles theorem,
\(4x=2x+20\\2x=20\\x=10\)
Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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What lowest terms fraction equal to 15%
Answer:
3 / 20
Step-by-step explanation:
Take only after the decimal point part for calculation.
.15
Then, divide that value by 1.
.15
1
Multiply both numerator and denominator by 100 (because there are 2 digits after the decimal point so that is 102 = 100).
.15 × 100
1 × 100
=
15
100
;
To simplify
15
100
its lowest terms, find GCD (Greatest Common Divisor) for 15 & 100, which is 5. Here's How to Find GCD of 15 and 100?
15/5
100/5
After simplify or reduce the fraction.
3
20
. a person who is 6 feet tall is standing 90 feet from the base of a tree, and the tree casts a 100 foot shadow. the person's shadow is 10 feet in length. what is the height of the tree?
Height of the tree = 60 feet
What are similar triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Given,
Height of the person = 6 feet
Length of the shadow of person = 10 feet
Length of the shadow of the tree = 100 feet
Tree and person at distance of 90 feet
let 'h' be the height of the tree
Triangles made by Tree, the person and the shadows are similar
the following proportion counts
h : 6 = 100 : 10
h = (6×100)/10
h = 60 feet
the tree is 60 feet high.
Hence, 60 feet is the height of the tree.
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Simplify the following expression by combining like terms.
34x – 12x + 14x – 18y + 7y
Help please :)
Answer:
36x - 11y
Step-by-step explanation:
Given:
34x – 12x + 14x – 18y + 7y
Solve:
Combine Similar Term :
34x – 12x + 14x – 18y + 7y {34-12 = 22 + 14 = 36}
Combine Similar Term
36x - 18y + 7y {-18 +7 = 11}
36x - 11y
Kavinsky
For constant term: f(a,b,g(t)), pattern term: f(a,Y,X) when pattern matching we can use the following assignment Y=b and X=g(t) to make the two terms match.
Note: A variable in the pattern is allowed to match anything in the other structure.
What do the uppercase letters X,Y represent?
Answer:
fuctions and constants
Step-by-step explanation:
please mark as brainliest if it helped :D
Zaid holds up a bag of coins.
The bag contains only 5p and 20p coins.
The ratio of 5p to 20p coins is 2:1
Zaid says
"If all the 5p coins became 20p coins and all the 20p coins became 5p coins
the total value of the coins in the bag would increase by £6."
Work out how many coins are in the bag.
the number of 5p = 2x
and the number of 20p = x
the total value = y
(2x)*(.05) + (x)*(.20)= y .......eqa1
if all 5p became 20p
20p = 2x
5p = x
(x)*(.05) + (2x)*(.20)= y+6 ..... eqa2
subtract the equations
eq2 - eq 1
======================
0.05x + 0.4x =y+6
-
0.1x + 0.2x = y
======================
0.45x= y+6
-
0.3x =y
= 0.15x = 6
x = 40
so number of 5p = 80 coins
and number of 20p = 40 coins
The attached file, data_red_banjo_pints_sold.xlsx, lists the daily sales of IPA beer, in pints, for the first three years of operations of Red Banjo Brewing Company. Construct a histogram with lower bin limit of O and bin width 50 for the variable IPA beer (pints). Which of the following best describes the sales data? symmetric negatively skewed positively skewed flat A C 1 Day 2 3 4 3 4 8 9 8 6 7 8 9 10 11 12 13 14 15 B IPA (pints) 1 158 2 169 162 4 154 5 154 6 275 7 277 8 154 9 161 10 166 11 159 12 168 13 262 14 283 15 154 16 164 17 165 18 156 19 164 20 258 21 260 22 155 23 155 24 159 25 164 26 165 27 255 28 268 29 152 30 162 CO 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Red Banjo Pints Produced А B C D 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 163 154 267 272 158 162 162 166 138 260 267 160 148 152 164 168 267 267 152 164 150 160 170 248 275 160 162 153 157 79 80 81 82 83 84 85 86 87 85 86 88 87 89 90 91 88 89 90 157 273 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 273 270 162 164 164 150 168 258 263 158 166 165 154 169 250 270 160 164 157 157 168 265 285 150 150 162 155 160 262 260 160
The data can be analyzed to determine the distribution of the data.
In order to construct a histogram for the daily sales of IPA beer, in pints, for the first three years of operations of Red Banjo Brewing Company, the lower bin limit is set to 0 and the bin width is set to 50. The data can be analyzed to determine the distribution of the data. To calculate the distribution, the data points are counted and the number of occurrences of each data point is divided by the total number of data points.
Using this formula, the data can be analyzed to determine if the data is symmetric, negatively skewed, positively skewed, or flat. The formula used is:
(Number of Occurrences / Total Number of Data Points) * 100
In the case of the Red Banjo Brewing Company data, the data is found to be positively skewed. This means that there are more data points in the higher range than in the lower range. This suggests that the brewery has seen a steady increase in the sale of IPA beer over the past three years.
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how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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Can you please help me out with a question
From the arc-angle relationships, we know that
\(20=\frac{3x-11}{2}\)By moving the denominator to the left hand side, we get
\(\begin{gathered} 2\times20=3x-11 \\ 40=3x-11 \end{gathered}\)by moving -11 to the left hand side, we have
\(\begin{gathered} 40+11=3x \\ 51=3x \end{gathered}\)Then, x is given by
\(\begin{gathered} x=\frac{51}{3} \\ x=17 \end{gathered}\)then, the answer is option J.